Word Problem

Problem 6401

Huntington-Hill method
The fire department of a certain city is adding 65 firefighters to its force. The fire chief needs to allocate the firefighters to five districts, according to their populations. The populations of the districts are shown in the table below. Use the Huntington-Hill method to allocate the firefighters to the districts. You may use the apportionment tool to help you. To do this, turn ON the apportionment tool, enter a divisor, and click on "Compute". You will then see the quota, the lower quota, the rounded quota (to the nearest whole number), the upper quota, and the geometric mean of the lower quota and upper quota for each district. You may also click on active cells to fill in the bottom row.
Apportionment Tool: OFF) \begin{tabular}{|c|c|c|c|c|c|c|} \hline District & Natal & Draco & Salto & York & Tabriz & Total \\ \hline Population & 65,380 & 130,695 & 94,890 & 43,440 & 47,145 & 381,550 \\ \hline \begin{tabular}{c} Number of \\ firefighters \end{tabular} & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & 0 \\ \hline \end{tabular}

See Solution

Problem 6402

A positive (+) correlation is when $\qquad$ A negative (-) correlation is when $\qquad$ $X$ decreases, Y increases; $X$ decreases, Y decreases. $X$ decreases, $Y$ increases; $X$ increases, $Y$ decreases. $X$ increases, $Y$ increases; $X$ decreases, $Y$ decreases. $X$ decreases, Y decreases: Xincreases, Y decreases.

See Solution

Problem 6403

Which of the following coefficients indicates the most consistent or strongest relationship? - 56 1.08 55

See Solution

Problem 6404

b) Two resistors are connected in parallel so that their total resistance $R$ is 3.6 ohn resistor's resistance must be 3 ohms greater than the other; find the other's if the formula for total resistance in parallel is; $R=\frac{1}{r_{1}}+\frac{1}{r_{2}}$ .

See Solution

Problem 6405

Convert the value for $\mathrm{R}, 0.0827 \mathrm{~L} \mathrm{~atm}^{-1} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}$ , to one that has units of $\mathrm{cal} \mathrm{mol}^{-1} \mathrm{~K}^{-1}$ . ROUND ANSWER TO 2 DECIMAL PLACES. DO NOT INCLUDE UNITS. $\begin{array}{l} 1 \mathrm{~L} \mathrm{~atm}=101.325 \mathrm{~J} \\ 1 \mathrm{caI}=4.184 \mathrm{~J} \end{array}$

See Solution

Problem 6406

Use the formula for $\mathrm{n}^{p_{\mathrm{r}}}$ to solve.
A church has 10 bells in its bell tower. Before each church service 4 bells are rung in sequence. No bell is rung more than once. How many sequences are there? A) 151,200 B) 210 C) 5040 D) 302.400

See Solution

Problem 6407

Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest terms.
Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again. Find the probability that the arrow will land on 2 or 3. A) 2 B) 1 C) $\frac{2}{5}$ D) $\frac{3}{2}$

See Solution

Problem 6408

Find the area of the region enclosed by the curves $y=x^{2}-4 x$ and $y=-x^{2}+6 x$ .
The area of the region enclosed by the curves is $\square$ (Type an integer or a simplified fraction.)

See Solution

Problem 6409

Convert the angle $\frac{3 \pi}{5}$ from radians to degrees.

See Solution

Problem 6410

From $10^{\circ} \mathrm{C}, 25^{\circ} \mathrm{C}, 50^{\circ} \mathrm{C}$ , and $60^{\circ} \mathrm{C}$ , select the best estimate of the Celsius temperature of a warm winter day in New Jersey. The average temperature in New Jersey during the winter is about $30^{\circ} \mathrm{F}$
Choose the temperature that best represents a warm winter day in New Jersey. $60^{\circ} \mathrm{C}$ $50^{\circ} \mathrm{C}$ $25^{\circ} \mathrm{C}$ $10^{\circ} \mathrm{C}$

See Solution

Problem 6411

Which of the following rational inequalities requires the use of technology to solve? a) $\frac{1}{x+5}>7$ b) $\frac{1}{x+5}>\frac{7}{x+1}$ C) $\frac{1}{x+5}>\frac{7 x^{2}}{x+1}$ d) B and C

See Solution

Problem 6412

This question has two parts. First, answer Part A. Then, answer Part B. Part A
Ishi bought a \ $6.95 canvas and 8 tubes of paint. She spent a total of$ \ $24.95$ on the canvas and paints.
Which equation can be used to determine the cost, $c$ , of each tube of paint? A) $6.95+8 c=24.95$ B) $6.95-8 c=24.95$ C) $8+6.95 c=24.95$ D) $8-6.95 c=24.95$

See Solution

Problem 6413

A restaurant chef removes a beef roast from a hot oven. The temperature of the beef roast, in degrees Fahrenheit, can be modeled by the function $T(x)=78+65(0.993)^{x}$ , where $x$ is the number of minutes after the beef roast has been removed from the oven. Determine how many minutes it will take until the beef roast reaches a temperature of $125^{\circ} \mathrm{F}$ .

See Solution

Problem 6414

A taxi service charges $\$ 1.50$ plus $\$ 0.60$ per mile for a trip to the airport. The total charge is $\$ 13.50$ .
Which equation can be used to determine the number of miles, $m$ , to the airport? A) $10+0.6 m=13.5$ B) $1.5+10 m=13.5$ C) $0.6+1.5 m=13.5$ D) $1.5+0.6 m=13.5$

See Solution

Problem 6415

Part 4 of 11
For the quadratic function $f(x)=x^{2}+6 x$ , answer parts (a) through (f). (a) Find the vertex and the axis of symmetry of the quadratic function, and determine whether the graph is concave up or concave down.
The vertex is $(-3,-9)$ . (Type an ordered pair, using integers or fractions.) What is the equation of the axis of symmetry? The axis of symmetry is $x=-3$ . (Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down? Concave down Concave up (b) Find the $y$ -intercept and the $x$ -intercepts, if any.
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is $\square$ (Type an integer or a simplified fraction.) B. There is no $y$ -intercept.

See Solution

Problem 6416

> 品 Strayer | Login 10 Strayer iCampus 3/5 Matilda × ALEKS Pre Progress A ALEKS - Matilda Brown - Learn Strayer | Login www.awu.aleks.com/alekscgi/x/Isl.exe/10_u-lgNslkr7j8P3jH-lv-6bxjbonmDn7WsVrRAXK6XnHkiRvH2tl80ejhwea6J2X7yfGCtAoPekUuyMVUtsiOBf5oj98Ug4xlBa9QJsr9ESAML1no?1oBw7QYjlbav... Strayer Technical Su... Microtek Support Microsoft Office Adobe Acrobat Statistics Percentage of data below a specified value Susan asked 10 students how many courses they have taken so far at her college. Here is the list of answers. 12, 9, 13, 6, 2, 19, 15, 4, 21, 15 What is the percentage of these students who have taken fewer than 5 courses? 1% Х All Bookmarks Español C 鳳凰国 Explanation Check 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility

See Solution

Problem 6417

For the quadratic function $f(x)=x^{2}+2 x+1$ , answer parts (a) through $(f)$ . (a) Find the vertex and the axis of symmetry of the quadratic function, and determine whether the graph is concave up or concave down.
The vertex is $(-1,0)$ . (Type an ordered pair, using integers or fractions.) What is the equation of the axis of symmetry? The axis of symmetry is $x=-1$ . (Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down? Concave down Concave up (b) Find the $y$ -intercept and the $x$ -intercepts, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $\bar{x}$ -intercept(s) is/are $\square$ . (Type an integer or a simplified Yaction. Use a comma to separate answers as needed.) B. There are no $x$ -intercepts.

See Solution

Problem 6418

Suppose $f(x)=x^{3}+4, x \in[0,1]$ . (a) Find the slope of the secant line connecting the points $(x, y)=(0,4)$ and $(1,5)$ . (b) Find a number $c \in(0,1)$ such that $f^{\prime}(c)$ is equal to the slope of the secant line you computed in (a), and explain why such a number must exist in ( 0,1 ).

See Solution

Problem 6419

For the quadratic function $f(x)=x^{2}+2 x+1$ , answer parts (a) through $(f)$ . (a) Find the vertex and the axis of symmetry of the quadratic function, and determine whether the grap
The vertex is $(-1,0)$ . (Type an ordered pair, using integers or fractions.) What is the equation of the axis of symmetry? The axis of symmetry is $x=-1$ . (Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down? Concave down Concave up (b) Find the $y$ -intercept and the $x$ -intercepts, if any. Select the correct choice below and, if necessary, fi your choice. A. The $x$ -intercept(s) is/are -1 . $\square$ (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no $x$ -intercepts.
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to com A. The $y$ -intercept is 1 . $\square$ (Type an integer or a simplifed fraction.) B. There is no y-intercept. (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function. $\square$ (d) Find the domain and the range of the quadratic function.
The domain of $f$ is $\square$ 7. (Type your answer in interval notation.)

See Solution

Problem 6420

40. $\frac{a}{b}=\frac{2}{5}$ бол $\frac{5 a+b}{b}=$ ?
лахин бага вэ?

See Solution

Problem 6421

Whale Numbers Writing a one-step expression for a real-world situation
Last week, Raina drove 279 miles. This week, she drove $b$ miles. Using $b$ , write an expression for the total number of miles she drove in the two weeks.

See Solution

Problem 6422

41. $\frac{3 a+b}{2}=a+3 b$ бол $b$ нь $a$ -аас хэд дахин бага вэ?

See Solution

Problem 6423

For the quadratic function $f(x)=x^{2}+2 x+1$ , answer parts $(a)$ through ( $f$ ). (Type an ordered pair, using integers or fractions.) What is the equation of the axis of symmetry? The axis of symmetry is $x=-1$ . (Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down? Concave down Concave up (b) Find the $y$ -intercept and the x-intercepts, if any. Select the correct choice below and, if necessary, fill in the answer box to comp your choice. A. The $x$ -intercept(s) is/are -1 . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no x-intercepts.
What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is 1 . (Type an integer or a simplified fraction.) B. There is no $y$ -intercept. (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function. - $\square$ (d) Find the domain and the range of the quadratic function.
The domain of $f$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) The range of $f$ is $[0, \infty)$ . (Type your answer in interval notation.) (e) Determine where the quadratic function is increasing and where it is decreasing.
The function is increasing on the interval $\square$ (Type your answer in interval notation.)

See Solution

Problem 6424

For the quadratic function $f(x)=x^{2}+2 x+1$ , answer parts (a) through ( $f$ ). (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no $x$ -intercepts.
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is 1 . (Type an integer or a simplified fraction.) B, There is no $y$ -intercept. (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function. $\square$ (d) Find the domain and the range of the quadratic function.
The domain of $f$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) The range of $f$ is $[0, \infty)$ . (Type your answer in interval notation.) (e) Determine where the quadratic function is increasing and where it is decreasing.
The function is increasing on the interval $(-1, \infty)$ . (Type your answer in interval notation.) The function is decreasing on the interval $(-\infty,-1)$ . (Type your answer in interval notation.) (f) Determine where $f(x)>0$ and where $f(x)<0$ . Select the correct choice below and fill in the answer box(es) within your choice. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) A. $f(x)>0$ on $\square$ and $f(x)<0$ on $\square$ $\square$ B. $f(x)<0$ on $\square$ and $f(x)$ is never positive $\square$ C. $f(x)>0$ on $\square$ and $f(x)$ is never negative

See Solution

Problem 6425

For the quadratic function $f(x)=x^{2}+2 x+1$ , answer parts (a) through ( $f$ ).
Is the graph concave up or concave down?
Concave down (Type your answer in interval notation.) (f) Determine where $f(x)>0$ and where $f(x)<0$ . Select the correct cholce below and fill in the answer box(es) within your choice. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) A. $f(x)>0$ on $\square$ and $f(x)<0$ on $\square$ B. $f(x)<0$ on 0 and $f(x)$ is never positive C. $f(x)>0$ on $\square$ and $f(x)$ is never negative

See Solution

Problem 6426

estion list
For the quadratic function $f(x)=x^{2}+4 x-5$ , answer parts (a) through (f).
Question 1
Question 2
Uestion 3 uestion 4 uestion 5 uestion 6
Iestion 7
Iestion 8 estion 9 estion 10 (a) Find the vertex and the axis of symmetry of the quadratic function, and determine wh
The vertex is $(-2,-9)$ . (Type an ordered pair, using integers or fractions.) What is the equation of the axis of symmetry? The axis of symmetry is $x=-2$ . (Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down? Concave down Concave up (b) Find the $y$ -intercept and the $x$ -intercepts, if any.
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the ansv A. The $y$ -intercept is -5 . (Type an integer or a simplified fraction.) B. There is no $y$ -intercept.
What is the x-intercept? Select the correct choice below and, if necessary, fill in the ans A. The $x$ -intercept(s) is (Type an integer or a simplified fraction. Use a comma to separate answers as n B. There is/are no $x$ -intercept(s). (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function.

See Solution

Problem 6427

For the quadratic function $f(x)=x^{2}+4 x-5$ , answer parts (a) through ( $f$ ). (a) Find the vertex and the axis of symmetry of the quadratic function, and determine whether the graph is concave up or concave down.
The vertex is $(-2,-9)$ . (Type an ordered pair, using integers or fractions.) What is the equation of the axis of symmetry? The axis of symmetry is $x=-2$ . (Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down? Concave down Concave up (b) Find the $y$ -intercept and the $x$ -intercepts, if any.
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is -5 . (Type an integer or a simplified fraction.) B. There is no $y$ -intercept.
What is the x-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept(s) is/áre $-5,1$ . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is/are no x-intercept(s). (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function. (d) Find the domain and the range of the quadratic function.
The domain of $f$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) The range of $f$ is $[-9, \infty)$ . (Type your answer in interval notation.) (e) Determine where the quadratic function is increasing and where it is decreasing.
The function is increasing on the interval $\square$ (Type your answer in interval notation.)

See Solution

Problem 6428

For the quadratic function $f(x)=x^{2}+4 x-5$ , answer parts (a) through (f). Concave down Concave up (b) Find the $y$ -intercept and the $x$ -intercepts, if any.
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is -5 . $\square$ (Type an integer or a simplified fraction.) B. There is no $y$ -intercept.
What is the $x$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept(s) is/are $-5,1$ . $\square$ (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is/are no $x$ -intercept(s). (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function. $\square$ (d) Find the domain and the range of the quadratic function.
The domain of $f$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) The range of $f$ is $[-9, \infty)$ . (Type your answer in interval notation.) (e) Determine where the quadratic function is increasing and where it is decreasing.
The function is increasing on the interval $(-2, \infty)$ . (Type your answer in interval notation.) The function is decreasing on the interval $(-\infty,-2)$ . (Type your answer in interval notation.) (f) Determine where $f(x)>0$ and where $f(x)<0$ . Select the correct choice below and fill in the answer box(es) within your choice. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) A. $f(x)>0$ on $\square$ , and $f(x)$ is never negative $\square$ B. $f(x)>0$ on $\square$ , and $f(x)<0$ on $\square$ C. $f(x)<0$ on $\square$ , and $f(x)$ is never positive

See Solution

Problem 6429

For the quadratic function $f(x)=x^{2}+4 x-5$ , answer parts (a) through ( $f$ . (Type your answer in interval notation.) (f) Determine where $f(x)>0$ and where $f(x)<0$ . Select the correct choice below and fill in the answer box (es) within your choice. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) A. $f(x)>0$ on $\square$ , and $f(x)$ is never negative $\square$ B. $f(x)>0$ on $\square$ , and $f(x)<0$ on $\square$ C. $f(x)<0$ on $\square$ ], and $f(x)$ is never positive

See Solution

Problem 6430

Complete the following sentence with a power of 10 greater than 1 A terajoule is $\qquad$ times as large as a picojoule. (i) Click on the icon to view the common metric prefixes.

See Solution

Problem 6431

For the quadratic function $f(x)=-x^{2}-2 x$ , answer parts (a) through $(f)$ . (a) Find the vertex and the axis of symmetry of the quadratic function, and determine whether the graph is concave up or concave down.
The vertex is $(-1,1)$ . (Type an ordered pair, using integers or fractions.) What is the equation of the axis of symmetry? The axis of symmetry is $x=-1$ . (Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down? Concave up Concave down (b) Find the $y$ -intercept and the $x$ -intercepts, if any.
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is 0 . (Type an integer or a simplified fraction.) B. There is no $y$ -intercept.
What is the $x$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept(s) is/are $0,-2$ . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is/are no $x$ -intercept(s). (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function. $\square$ (d) Find the domain and the range of the quadratic function.
The domain of $f$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) The range of $f$ is $(-\infty, 1]$ . (Type your answer in interval notation.) (e) Determine where the quadratic furfiction is increasing and where it is decreasing.
The function is increasing on the interval $\square$ . (Type your answer in interval notation.)

See Solution

Problem 6432

For the quadratic function $f(x)=-x^{2}-2 x$ , answer parts (a) through ( $f$ ).
Is the graph concave up or concave down? Concave up Concave down (b) Find the $y$ -intercept and the $x$ -intercepts, if any.
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is 0 . (Type an integer or a simplified fraction.) B. There is no $y$ -intercept.
What is the $x$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept(s) is/are $0,-2$ . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is/are no $x$ -intercept(s). (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function. $\square$ (d) Find the domain and the range of the quadratic function.
The domain of $f$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) The range of $f$ is $(-\infty, 1]$ . (Type your answer in interval notation.) (e) Determine where the quadratic function is increasing and where it is decreasing.
The function is increasing on the interval $(-\infty,-1)$ . (Type your answer in interval notation.) The function is decreasing on the interval $(-1, \infty)$ . (Type your answer in interval notation.) (f) Determine where $f(x)>0$ and where $f(x)<0$ . Select the correct choice below and fill in the answer box(es) within your choice, (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) A. $f(x)>0$ on $\square$ , and $f(x)<0$ on $\square$ B. $f(x)>0$ on $\square$ , and $f(x)$ is never negative C. $f(x)<0$ on $\square$ , and $f(x)$ is never positive

See Solution

Problem 6433

Two countries have populations of about 11.3 million and 689,000 , respectively. Their areas are 8744 and 619,771 square miles, respectively. Compute the population densities of the two countries
The population density of the first country is $\square$ people per square mile. (Type an integer or decimal rounded to the nearest tenth as needed.)

See Solution

Problem 6434

For the quadratic function $f(x)=x^{2}+8 x$ , answer parts (a) through ( $f$ ). (a) Find the vertex and the axis of symmetry of the quadratic function, and determine whether the graph is concave up or concave down.
The vertex is $(-4,-16)$ . (Type an ordered pair, using integers or fractions.) What is the equation of the axis of symmetry? The axis of symmetry is $x=-4$ . (Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down? Concave down Concave up (b) Find the $y$ -intercept and the $x$ -intercepts, if any.
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is 0 . (Type an integer or a simplified fraction.) B. There is no $y$ -intercept.
What is the x-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept(s) is/are $0,-8$ . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no $x$ -intercepts. (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function. $\square$ (d) Find the domain and the range of the quadratic function.
The domain of $f$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) The range of $f$ is $[-16, \infty)$ . (Type your answer in interval notation.) (e) Determine where the quadratic function is increasing and where it is decreasing.
The function is increasing on the interval $\square$

See Solution

Problem 6435

For the quadratic function $f(x)=x^{2}+8 x$ , answer parts (a) through ( $f$ ). Concave down Concave up (b) Find the $y$ -intercept and the $x$ -intercepts, if any.
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is 0 . (Type an integer or a simplified fraction.) B. There is no $y$ -intercept.
What is the $x$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept(s) is/are $0,-8$ . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no $x$ -intercepts. (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function. $\square$ (d) Find the domain and the range of the quadratic function.
The domain of $f$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) The range of $f$ is $[-16, \infty)$ . (Type your answer in interval notation.) (e) Determine where the quadratic function is increasing and where it is decreasing.
The function is increasing on the interval $(-4, \infty)$ . (Type your answer in interval notation.) The function is decreasing on the interval $(-\infty,-4)$ . (Type your answer in interval notation.) (f) Determine where $f(x)>0$ and where $f(x)<0$ . Select the correct choice below and fill in the answer box(es) within your choice. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) A. $f(x)<0$ on $\square$ . and $f(x)$ is never positive B. $f(x)>0$ on $\square$ , and $f(x)$ is never negative C. $f(x)>0$ on $\square$ , and $\mathrm{f}(\mathrm{x})<0$ on $\square$

See Solution

Problem 6436

Use $10 \%$ to find $40 \%$ of 110 :

See Solution

Problem 6437

James deposits \ $1440.71 each quarter into an annuity account for his child's college fund in order to accumulate a future value of$ \ $95,000$ in 13 years. How much of the $\$ 95,000$ will James ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary.
Formulas

See Solution

Problem 6438

Suppose a geologist believes that the average chloride concentration in her local water supply is above the national average of 156 ppm . The geologist defines a null hypothesis, $H_{0}: \mu=156 \mathrm{ppm}$ , to reflect the mean chloride concentration in the national water supply. She formulates an alternative hypothesis, $H_{1}: \mu>156 \mathrm{ppm}$ , to indicate that her locality has a higher concentration of chloride in its water supply, on average. In these hypotheses, $\mu$ represents the true mean concentration of chloride in the local water supply. The geologist samples groundwater from across her locality and determines that the average concentration of chloride in her sample is 208 ppm , with a standard deviation of 35 ppm . Experience has shown that these data can be treated as random samples from a normal population. The geologist uses a one-sample, right-tailed $t$ -test for a mean to test her hypotheses. She computes a $t$ -statistic with a value of 7.862 and 27 degrees of freedom.
Decide the outcome of the geologist's test using a significance level of $\alpha=0.05$ . Fail to reject the null hypothesis because the $P$ -value is greater than $\alpha$ . Reject the null hypothesis because the $P$ -value is greater than $\alpha$ .

See Solution

Problem 6439

Social networking: Facebook reports that the mean number of friends of adult Facebook users is 338. A test is made of $H_{0}: \mu=338$ versus $H_{1}: \mu<338$ . The null hypothesis is not rejected. State an appropriate conclusion.
There (Choose one) $\nabla$ enough evidence to conclude that the mean number of friends is (Choose one) $\nabla 338$ .

See Solution

Problem 6440

Isabel is buying a house for $\$ 240,000$ . She plans to make a $16 \%$ down payment. Closing costs include $\$ 800$ for 6 months of homeowners insurance, $\$ 1150$ for 6 months of property tax, $\$ 150$ for the title fee, and $\$ 450$ in transaction fees. Isabel also agreed to pay two points in exchange for a $0.5 \%$ reduction in interest rate. Determine the amount of money Isabel will be expected to pay at closing. Round your answer to the nearest cent.

See Solution

Problem 6441

In the blanks below. Find $50 \%$ of 156 :

See Solution

Problem 6442

Determine the quadratic function whose graph is given below. Q Q -10 -5 20- 10- -10- -20- (0, - 6) 5 10 (3,-15) X Points: U of T The quadratic function which describes the given graph is f(x) = ☐ . (Type an expression.)

See Solution

Problem 6443

Find $75 \%$ of 156 : try

See Solution

Problem 6444

Find $75 \%$ of 56 : try

See Solution

Problem 6445

anie Dads.
Question Watch Video
Find an angle $\theta$ coterminal to $1163^{\circ}$ , where $0^{\circ} \leq \theta<360^{\circ}$ .
Answer Attempt 1 out of 2 $\square$ Submit Answer

See Solution

Problem 6446

Fill in the blanks below. Find $25 \%$ of 32 : try

See Solution

Problem 6447

Fill in the blanks below. Find 50\% of 60 : try

See Solution

Problem 6448

Question Watch Video Show Examples
For the rotation $-297^{\circ}$ , find the coterminal angle from $0^{\circ} \leq \theta<360^{\circ}$ , the quadrant, and the reference angle.
Answer Attempt 1 out of 2
The coterminal angle is of $\square$ ${ }^{\circ}$ 。 $\square$ ${ }^{\circ}$ , which lies in Quadrant Submit Answer

See Solution

Problem 6449

Problems 37 - 40, Solve.
37. In 1906 , an earthquake of magnitude 7.7 shook San Francisco, California. Compare the amount of energy released by this earthquake to the amount of energy released by the 9.0 magnitude earthquake in Japan on March 11, 2011.

See Solution

Problem 6450

A proton is fired with a speed of $0.90 \times 10^{6} \mathrm{~m} / \mathrm{s}$ through the parallel-plate capacitor shown in (Figure 1). The capacitor's electric field is $\vec{E}=\left(0.50 \times 10^{5} \mathrm{~V} / \mathrm{m}, \text { down }\right)$
Part A
What is the strength of the magnetic field $\vec{B}$ that must be applied to allow the proton to pass through the capacitor with no change in speed or direction? Express your answer with the appropriate units.

See Solution

Problem 6451

class notes* do ex 183 tryits in you book please! Parklynn Period: 12.6: Apply Proportional Reasoning is Solve Problems Notes
Directions: A fter completing your want up, please take out your EnVision book and tum to page 122. $1113\left\{\begin{array}{l}\text { auIz } \\ \text { ON } \\ \text { FRI }\end{array}\right\}$
Olaw a diagram $(8)$ find the ratio after lepresent latio of rano of cards miss Geer to kica is 6:2. Kiea has II2 cards. How will the ratio change if they both sell half their cards? when hais 8 years old How pidi is 2 years old. be when Posikarion oild
Omake a table to find Rakavions age \begin{tabular}{|c|c|} \hline Rakarion & Posi \\ \hline 8 & 2 \\ \hline 9 & 3 \\ \hline 10 & 4 \\ \hline \end{tabular} 9150.62 for a fullyear of service, AJ thinks he was overcharged. What chould he say to prove this. (1) wurite an equation to vepresent the sibuation Whe rate ise. 99 permonth so the equation that reprecents the cost, $y$ after $x$ maniths is: $y=9.99 x$
NATEE $49.99\}$ per per $z^{2} y=a a$ $\begin{array}{l} \text { nonthy } y=9.99 x \\ y=419.88 \\ 15.18=x \end{array}$
Af should ack for a credit of $150 \cdot 1.22-119.88=$ 130.74
AJ was charged for 15 months, so he chouldask for 3 monthe of free service

See Solution

Problem 6452

Name: $\qquad$
8. Cora, Berlin, Shaylene, Keegan, Brooklyn, Alyssa, Hannah and Madi watch a movie together and sit in 8 adjacent seats. In how many ways can this be done under each condition? [3 marks] a. No restrictions $8!=102,20$ b. Cora and Berlin sit beside each other? $\begin{array}{l} \text { rin sit beside each other? } \\ 7!=5040 \times 6! \end{array}$ c. If Shaylene won't sit next to Brooklyn? $6!$ $-720$

See Solution

Problem 6453

A 5.0 A current is charging a 0.50 -cm-diameter parallel-plate capacitor.
Part A
Part B
What is the magnetic field strength at a point 2.5 mm radially from the center of the capacitor? Express your answer with the appropriate units.

See Solution

Problem 6454

PA11-3 (Algo) Finding Missing Amounts [LO 11-2, LO 11-3, LO 11-5]
At December 31, the records of Kozmetsky Corporation provided the following selected and incomplete data: Common stock (par \ $2; no changes during the current year). Shares authorized, 5,000,000. Shares issued, ? ; issue price \$8 per share. Shares held as treasury stock, 11,200 shares, cost$ \ $6$ per share. Net income for the current year, \$452,160. Common Stock account, \$148,000. Dividends declared and paid during the current year, \$2 per share. Retained Earnings balance, beginning of year, \$780,000. Required: Complete the following: Note: Round "Earnings per share" to 2 decimal places. \begin{tabular}{|l|l|} \hline 1-a. Shares issued & \\ \hline 1-b. Shares outstanding & \\ \hline 2. The balance in Additional Paid-in Capital would be \\ \hline 3. Earnings per share is & \\ \hline 4. Total dividends paid on common stock during the current year is & \\ \hline 5. Treasury stock should be reported in the stockholders' equity section of the balance sheet in the amount of & \\ \hline 6. Assume that the board of directors voted a 2-for-1 stock split. After the stock split, the par value per share will be & \\ \hline \end{tabular}

See Solution

Problem 6455

In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one tr $\mathrm{a}=9.9, \mathrm{~b}=7.6$ , and $\mathrm{A}=37^{\circ}$ $\qquad$ (Round to one decimal place as needed.) C. There is no solution.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is only one triangle where $\mathrm{C} \approx$ $\square$ ${ }^{\circ}$ . (Round to ofie decimal place as needed.) B. There are two triangles. The angle corresponding to the triangle containing $\mathrm{B}_{1}$ is $\mathrm{C}_{1} \approx$ $\square$ - The angle corresponding to the (Round to one decimal place as needed.) C. There is no solution.

See Solution

Problem 6456

Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle th $\mathrm{a}=12, \quad \mathrm{c}=12.5, \quad \mathrm{~A}=52^{\circ}$ A. I nere is oniy one possidie soiution tor the triangie.
The measurements for the remaining side $b$ and angles $B$ and $C$ are as follows. $\mathrm{B} \approx \square^{\circ} \quad \mathrm{C} \approx$ $\square$ $\mathrm{b} \approx$ $\square$ B. There are two possible solutions for the triangle.
The measurements for the solution with the the smaller angle C are as follows. $\mathrm{c}_{1} \approx \square$ $\mathrm{B}_{1} \approx \square^{\circ}$ $\square$ $\mathrm{b}_{1} \approx$ $\square$ The measurements for the solution with the the larger angle C are as follows. $C_{2} \approx \square^{0} \quad B_{2} \approx$ $\square$ $\mathrm{b}_{2} \approx \square$ C. There are no possible solutions for this triangle.

See Solution

Problem 6457

6. A force of $50 . \mathrm{N}$ is required to stretch a spring 5.0 cm horizontally from its equitiblum position. How much work is needed to stretch the spring another 2.0 cm from this point?

See Solution

Problem 6458

Three 5 -L flasks, fixed with pressure gauges and small valves, each contain 1 g of gas at 294 K . Flask A contains $\mathrm{CH}_{4}$ , flask B contains He , and flask C contains $\mathrm{H}_{2}$ , Rank the flask contents in terms of the following:
Part 1 of 6 pressure: $\square$ (Choose one) - $\square$
Part 2 of 6 average molecular kinetic energy: $\square$ Check Save For Later Submit Assignment

See Solution

Problem 6459

Crane Corporation purchased from its stockholders 5,700 shares of its own previously issued stock for $\$ 279,300$ . It later resold 1,600 shares for $\$ 52$ per share, then 1,600 more shares for $\$ 47$ per share, and finally 2,500 shares for $\$ 41$ per share.
Prepare journal entries for the purchase of the treasury stock and the three sales of treasury stock. (Credit account titles are automatically indented when the amount is entered. Do not indent manually. If no entry is required, select "No Entry" for th account titles and enter 0 for the amounts. List all debit entries before credit entries.)
Account Titles and Explanation Debit Credit $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ (To record purchase from stockholders.) $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ (To record sales of shares at $\$ 52$ per share.) $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$

See Solution

Problem 6460

Three 5-L flasks, fixed with pressure gauges and small valves, each contain 1 g of gas at 294 K . Flask A contains $\mathrm{CH}_{4}$ , flask B contains He , and flask C contains $\mathrm{H}_{2}$ . Rank the flask contents in terms of the following:
Part 1 of 6 pressure: $C>B>A$ $\square$ - $\square$
Part 2 of 6 average molecular kinetic energy: $\square$ $A=B=C$ 7 $\square$
Part 3 of 6 diffusion rate after valve is opened: $\square$ (Choose one) $\mathbf{V}$
Part 4 of 6 total kinetic energy of the molecules: (Choose one) $\mathbf{V}$ $\square$
Part 5 of 6 density: (Choose one) $\mathbf{V}$ $\square$
Part 6 of 6 collision frequency: (Choose one) $\boldsymbol{V}$ $\square$

See Solution

Problem 6461

In a sample of 290 adults, 261 had children. Construct a $95 \%$ confidence interval for the true population proportion of adults with children. Give your answers as decimals, to three places $<p<$

See Solution

Problem 6462

In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one triangle, or two triangles. Solve the resulting triangle. $a=9.3, b=7.2 \text {, and } A=36^{\circ}$
Determine the value of $\sin B$ . $\sin B=27.07$ (Round to four decimal places as needed.)

See Solution

Problem 6463

Question 33 A sample of 30 incoming students was taken and whether or not they are left-handed was recorded. A $95 \%$ confidence interval for $p$ is $(9.5 \%, 11.1 \%)$ . a.) The individual object in the study was a randomly selected $\square$ .
This is computer-graded so use exact wording from the problem above. Remember an individual is ONE of something. b.) What was the variable information recorded for each object in the study?
This is computer-graded so use exact wording from the problem above. The variable information was whether or not they $\square$ c.) State the statistical interpretation of the confidence interval in the context of this problem.
Select an answer the $\square$ Select an answer of $\square$ $?$ incoming students that are left-handed is between $\square$ \% and $\square$ \% d.) What is the symbol and value of the point estimate for $p$ ? $?+=$ $\square$ \% e.) What is the margin of error for the given interval? $\qquad$ \% f.) Fill in the boxes below to show the relation on the number line between the numeric values of the point estimate and the interval estimate for $p$ . $\qquad$ $\qquad$ B $\qquad$ $A=$ $\square$ \% B = $\square$ \% C = $\square$ \%

See Solution

Problem 6464

In a certain country people own a total of about 352 million fish, cats, and dogs as pets. The number of fish owned is 14 million more than the total number of cats and dogs owned, and 15 million more cats are owned than dogs. How many of each type of pet do people in this country own?
The number of fish owned by people in this country is $\square$ million, the number of cats owned by people is $\square$ million, the number of dogs owned by people is $\square$ million. (Type whole numbers.)

See Solution

Problem 6465

20. Seorang pemilik modal menanamkan uangnya di sebuah bank dengan bunga $12 \%$ per tahun. Bunga serta modal ditanamkan kembali pada bank tersebut dengan bunga $15 \%$ per tahun. Kemudian, bunga dan modal tersebut ditanamkan kembali dengan bunga $13 \%$ per tahun. Berapakah rata-tata tingkat bunga yang diperoleh orang tersebut?

See Solution

Problem 6466

Michelle borrows a total of $\$ 6000$ in student loans from two lenders. One charges $3.6 \%$ simple interest and the other charges $5.6 \%$ simple interest. She is not required to pay off the principal or interest for 3 yr. However, at the end of 3 yr, she will owe a total of $\$ 738$ for the interest from both loans. How much did she borrow from each lender?
Part: $0 / 2$
Part 1 of 2
Michelle borrowed \\square $at$ 3.6 \%$.

See Solution

Problem 6467

Use the table, along with dimensional analysis, to convert the given unit to the unit indicated. $35,000 \mathrm{ft}^{3}$ to gal $\square$ gal (Round to the nearest hundredth as needed.)

See Solution

Problem 6468

If $\$ 1000$ is deposited in an account yielding an annual interest rate of $10 \%$ compounded semi-annually, how much will be in the account after 30 years? Don't include the dollar sign in your answer. Give your answer to 2 decimal places. Use the formula: $A=P\left(1+\frac{r}{n}\right)^{n t}$ where $\mathrm{P}=1000, \mathrm{r}=0.10, \mathrm{n}=2, \mathrm{t}=30, \mathrm{~A}=$ ?

See Solution

Problem 6469

be a boy? Round to three decimal places as needed A. 0.571 B. 0.314 C. 0.429 D. 0.71

See Solution

Problem 6470

The general solution is given for the system of linear equations. Find three individual solutions to the system. $\begin{array}{r} -x+4 y+2 z=4 \\ x-3 y-z=-2 \\ -x+y-z=-2 \end{array}$
Solution: $\{(-2 z+4,-z+2, z) \mid z$ is any real number $\}$
Three possible solutions are $\square$ . 1 $\square$ $\square$ ).( ■. $\square$ ). and ([:-5). $\square$ ！ $\square$

See Solution

Problem 6471

Find an equation of the form $y=a x^{2}+b x+c$ that defines the parabola through the three noncollinear points given. $(0,6),(5,81),(-2,-10)$
Part: $0 / 6$
Part 1 of 6
To find an equation of the form $y=a x^{2}+b x+c$ , we need three independent equations relating $a, b$ , and $c$ . We require that the three points $(0,6),(5,81)$ , and $(-2,-10)$ satisfy the equation $y=a x^{2}+b x+c$ . Substitute $(0,6): \quad 6=a(0)^{2}+b(0)+c \rightarrow A \rightarrow \square=6$ Substitute $(5,81): \quad 81=a(5)^{2}+b(5)+c \rightarrow B \quad \rightarrow=81$ Substitute $(-2,-10): \quad-10=a(-2)^{2}+b(-2)+c \rightarrow C \square=-10$

See Solution

Problem 6472

If the cost to mail a letter is 48 cents for mail weighing up to one ounce and 29 cents for each additional ounce or fraction of an ounce, find the cost of mailing a letter that weighs 92 grams.
The cost to mail the letter is $\$$ $\square$ (Type an integer or a decimal.)

See Solution

Problem 6473

10. The student council recorded the number of students participating, from each homeroom, in after school activitie The collected counts are shown in the lir plot below.
Which measure of central tendency will change the most if the outlier score is eliminated?

See Solution

Problem 6474

A. Match the descriptions in column $\mathbf{A}$ with word $/ 8$ being described in column $\mathbf{B}$ . Write the letter of your answer in the space provided. B. Identify whether each of the following sets is well-derined or NOT. Put a checkmark if it is well-defined and a cross mark $(x)$ if it is not. Write your answer in the sp provided before each number. $\qquad$ 1. The set of local government officials $\qquad$ 2. The set of odd numbers between 1 and 10 $\qquad$ 3. The set of Philippine presidents $\qquad$ 4. The set of monthe containing 31 days $\qquad$ 5. The set of cities in Metro Manila $\qquad$ 6. The set of prime numbers below 100 $\qquad$ 7. The set of letters in the word "MATATAG" $\qquad$ 8. The set of planets with a moon $\qquad$ 9. The set of entertaining magicians $\qquad$ 10. The set of shops with aromatic coffee

See Solution

Problem 6475

8) [swHW part(b), seHW part(a)] Consider two linearly-polarized plane wave pulses of light with the same duration, the same wavelength, the same polarization, and the same maximum amplitude, and propagating in vacuum in exactly-opposite directions. The pair will form a standing electric field wave in places where they overlap. As we know, such a standing wave momentarily has zero electric field amplitude everywhere at one infinitesimal instant in time, and thus the two combined waves must, at some single instant in time, have zero electric field everywhere in space.
PHY-2112 Duplication or distribution prohibited without express written consent from Stephen Fahey. a) At the one instant in time when the two pulses result in zero electric field everywhere in space, describe the magnetic field everywhere in space. b) Propose an explanation of how the energy of a standing light wave is stored when the electric field is zero everywhere in space. For your answer please propose a testable hypothesis that is consistent with all the laws of physics that you know. Be sure your hypothesis could potentially be disproven (this is called a "falsifiable" hypothesis, and is considered a stronger type of scientific hypothesis).

See Solution

Problem 6476

MARK(S) A rectangle has a perimeter of 16 metres. The maximum area of the rectangle is A $20 \mathrm{~m}^{2}$

See Solution

Problem 6477

Homework: Topic F. 5 Homework Question 2, 12.5.27 HW Score: $85.71 \%$ . 12 of 14 points Points: 0 of 1 Save
Question list Question 1 Question 2
Use the standard normal table to find the specified area To the right of $z=1.08$ Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table.
The area to the right of $z=1.08$ is $\square$ $\square$ .
Area under a normal curve to the left of $z$ (page 1 \begin{tabular}{|cccccccccc|c||} \hline \multicolumn{8}{|c|}{ Table of Areas to the Left of $\boldsymbol{z}$ When $\boldsymbol{z}$ Is Negative } \\ \hline $\boldsymbol{z}$ & .00 & .01 & .02 & .03 & .04 & .05 & .06 & .07 & $\mathbf{. 0 8}$ & .09 \\ \hline-3.4 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0002 \\ -3.3 & .0005 & .0005 & .0005 & .0004 & .0004 & .0004 & .0004 & .0004 & .0004 & .0003 \\ -3.2 & .0007 & .0007 & .0006 & .0006 & .0006 & .0006 & .0006 & .0005 & .0005 & .0005 \\ -3.1 & .0010 & .0009 & .0009 & .0009 & .0008 & .0008 & .0008 & .0008 & .0007 & .0007 \\ -3.0 & .0013 & .0013 & .0013 & .0012 & .0012 & .0011 & .0011 & .0011 & .0010 & .0010 \\ -2.9 & .0019 & .0018 & .0018 & .0017 & .0016 & .0016 & .0015 & .0015 & .0014 & .0014 \\ -2.8 & .0026 & .0025 & .0024 & .0023 & .0023 & .0022 & .0021 & .0021 & .0020 & .0019 \\ -2.7 & .0035 & .0034 & .0033 & .0032 & .0031 & .0030 & .0029 & .0028 & .0027 & .0026 \\ -2.6 & .0047 & .0045 & .0044 & .0043 & .0041 & .0040 & .0039 & .0038 & .0037 & .0036 \\ -2.5 & .0062 & .0060 & .0059 & .0057 & .0055 & .0054 & .0052 & .0051 & .0049 & .0048 \\ -2.4 & .0082 & .0080 & .0078 & .0075 & .0073 & .0071 & .0069 & .0068 & .0066 & .0064 \\ \hline \end{tabular}
Area under a normal curve to the left of $z$ ( $p$ e
Table of Areas to the Left of $z$ When $z$ Is Positive \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline $z$ & . 00 & 01 & .02 & .03 & .04 & . 05 & . 16 & . 07 & . 08 \\ \hline 0.0 & 5000 & 5040 & 5080 & 5120 & 5160 & . 5199 & . 5239 & 5279 & 5319 \\ \hline 0.1 & . 5398 & . 5438 & 5478 & 5517 & . 5557 & 5596 & . 5636 & . 5675 & . 5714 \\ \hline 0.2 & .5793 & . 5832 & 5871 & 5910 & . 5948 & . 5987 & . 6026 & . 6064 & . 6103 \\ \hline 0.3 & 6179 & 6217 & . 6255 & 6293 & 6331 & . 6368 & . 6406 & . 6443 & . 6480 \\ \hline 0.4 & 6554 & . 6591 & . 6628 & 6664 & . 6700 & .6736 & . 6772 & .6808 & . 6844 \\ \hline 0.5 & 6915 & 6950 & 6985 & 7019 & . 7054 & . 7088 & 7123 & 7157 & .7190 \\ \hline 0.6 & . 7257 & . 7291 & 7324 & 7357 & 7389 & . 7422 & . 7454 & 7486 & . 7517 \\ \hline 0.7 & . 7580 & . 7611 & 7642 & 7673 & 7704 & 7734 & . 7764 & 7794 & 7823 \\ \hline 0.8 & 7881 & .7910 & 7939 & 7967 & 7995 & .8023 & 8051 & . 8078 & .8106 \\ \hline 0.9 & 8159 & .8186 & 8212 & 8238 & 8264 & 8289 & . 8315 & .8340 & 8365 \\ \hline 1.0 & . 8413 & .8438 & 8461 & 8485 & 8508 & 8531 & 8554 & . 8577 & .8599 \\ \hline 11 & skad & sans & 8686 & 8708 & 8729 & 8719 & 8770 & 8790 & 8810 \\ \hline \end{tabular}

See Solution

Problem 6478

Find the area under $y=4 \cos (x)$ and above $y=4 \sin (x)$ for $\frac{\pi}{2} \leq x \leq \frac{3 \pi}{2}$ . (Note that this area may not be defined over the entire interval.) area $=$ $\square$

See Solution

Problem 6479

Situation-problème. Détermination du rendement de saponification Un homme d'affaires désire se lancer dans la production industrielle du savon à partir de l'huile d'olive, une huile contenant principalement de l'oléine de masse volumique $\rho=900 \mathrm{~g} / \mathrm{L}$ . L'oléine est le triester du glycérol (propane-1,2,3-triol) et de l'acide oléique de formule brute $\mathrm{C}_{17} \mathrm{H}_{35} \mathrm{COOH}$ .
Le technicien recruté par l'homme d'affaire lui informe qu'une huile ne peut être utilisée dans la production industrielle du savon que si le rendement de la saponification est au moins égal à $60 \%$ . Afin de vérifier s'il est possible de produire industriellement le savon à partir de l'huile d'olive, l'homme d'affaire se rapproche de son ami professeur de chimie au CAY. Pour préparer le savon au laboratoire, le professeur mélange 50 mL d'huile d'olive, 30 mL d'hydroxyde de sodium de concentration $9 \mathrm{~mol} / \mathrm{L}$ et 50 mL d'éthanol pur. Il ajoute quelques graines de pierres ponces et il chauffe pendant 30 min le mélange à l'aide d'un chauffage à reflux. Il verse ensuite le mélange obtenu dans 200 mL d'eau` salée. Après plusieúrs lavages, filtrage et séchage, il obtient 45 g de savon. Au terme de la manipulation, le professeur affirme : «cette huile est industriellement saponifiable».
On donne \begin{tabular}{|l|l|l|} \hline & Masse molaire (g/mol) & Formule brute \\ \hline Oléine & 884 & $\mathrm{C}_{57} \mathrm{H}_{104} \mathrm{O}_{6}$ \\ \hline Savon & 306 & $\mathrm{C}_{17} \mathrm{H}_{35} \mathrm{COONa}$ \\ \hline \end{tabular}
À partir d'une démarche scientifique et en utilisant les données de la situation, prononcez-vous sur l'affirmation du professeur.

See Solution

Problem 6480

Find the probability that in tossing a fair coin 3 times, there will appear a head at least twice. (Note: write the probability as an integer or as a percentile without the $\%$ sign)

See Solution

Problem 6481

40. A cone-shaped paper drinking cup is to be made to hold $27 \mathrm{~cm}^{3}$ of water. Find the height and radius of the cup that will use the smallest amount of paper.

See Solution

Problem 6482

4.
Yukarıda verilen afişler eşit uzunlukta en büyük parçalara ayrılıp şekilde verildiği gibi sıra ile yan yana dizilecektir. $\square$ $\square$ $\square$ $\square$ Eş parçalara ayrılan parçaların her birinin etrafına santimetresi 10 TL olan tahta parçaları yerleştirilecektir. Buna göre bu iş için harcanan toplam ücret kaç TL'dir? A) 3250 B) 3120 C) 2990 D) 2860 61

See Solution

Problem 6483

$\text{At } 21^{\circ} \mathrm{C}, \text{ a gas cylinder containing carbon monoxide has an internal volume and pressure of } 46.6 \, \text{L and } 1.50 \times 10^2 \, \text{atm}. \text{ What mass of nitrogen gas is contained in the cylinder?}$

See Solution

Problem 6484

figure it Out
1. Give the dimensions of a rectangle whose area is the sum of the areas of these two rectangles having measurements: $5 \mathrm{~m} \times 10 \mathrm{~m}$ and $2 \mathrm{~m} \times 7 \mathrm{~m}$ .

See Solution

Problem 6485

figure it Out
1. Give the dimensions of a rectangle whose area is the sum of the areas of these two rectangles having measurements: $5 \mathrm{~m} \times 10 \mathrm{~m}$ and $2 \mathrm{~m} \times 7 \mathrm{~m}$ .

See Solution

Problem 6486

1. [\#241] Sailing - wind speed 1 poin
A sailor sailing due north at 5 knots observes an apparent wind moving at 5 knots directly from the boat's starboard (right hand) side, i.e. at $90^{\circ}$ to the axis of the boat. What is the 'true' wind speed? (i.e. what is the speed of the wind with respect to the ground?).
The 'true' wind speed is $\qquad$ knots.
Enter answer here

See Solution

Problem 6487

Exercice 10 : Complexations compétitives du ligand EDTA Soit une solution dans laquelle, à l'état initial : $\left[\mathrm{Fe}^{3+}\right]_{0}=\left[\mathrm{Ba}^{2+}\right]_{0}=0,01 \mathrm{~mol} . \mathrm{L}^{-1}$ . On ajoute de l'EDTA, noté $Y^{4-}$ . On donne les constantes de dissociation des complexes $[\mathrm{FeY}]^{-}\left(p K_{d}=20\right)$ et $[\mathrm{BaY}]^{2-}\left(p K_{d}=7,5\right)$ . Calculer les diverses concentrations à l'équilibre pour : -1) $\left[Y^{4-}\right]_{0}=5.10^{-3} \mathrm{~mol} . \mathrm{L}^{-1}$ - 2) $\left[Y^{4-}\right]_{0}=1,55 \cdot 10^{-2} \mathrm{~mol} . \mathrm{L}^{-1}$

See Solution

Problem 6488

a) Given that the line joining the points $A(a, 5)$ and $B(-2, b)$ have a slope of 2 and that the gradient of the line joining the points B and $C(-b, a)$ is 2 , find the values of $a$ and $b$ . [9 marks] b) The interior angle of a regular polygon exceeds its exterior angle by $108^{\circ}$ . How many sides does the polygon have? [11 marks]

See Solution

Problem 6489

Felipe drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Felipe drove home, there was no traffic and the trip only took 6 hours. If his average rate was 16 miles per hour faster on the trip home, how far away does Felipe live from the mountains?
Do not do any rounding.

See Solution

Problem 6490

$1 A$ 18 1C 1 D Summary Bookwork code: 1D Calculator not allowed
The day before a show, a theatre had sold adult and child tickets in $t$ ratio 9 : 4.
On the day of the show, the theatre sold 20 more adult tickets and nc more child tickets. The ratio of adult to child tickets sold became $8: 3$ . Work out how many adult tickets had been sold the day before the show. < Previous Watch video Answe

See Solution

Problem 6491

Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake?

See Solution

Problem 6492

Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (inc answer.
What signs are $\cos \left(-140^{\circ}\right)$ and $\tan \left(-140^{\circ}\right)$ ? $\cos \left(-140^{\circ}\right)>0$ and $\tan \left(-140^{\circ}\right)<0$ $\cos \left(-140^{\circ}\right)<0$ and $\tan \left(-140^{\circ}\right)>0$ They are both negative. They are both positive. Submit Pass Don't know answer

See Solution

Problem 6493

Topic: Formulas Progress: Question ID: 502501
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
The formula for the perimeter of a rectangle is $P=2(l+w)$ and the formula for the area of a rectangle is $A=l w$ , where $l$ is the length of the rectangle and $w$ is the width.
Determine the perimeter and the area of a 3 inch by 5 inch index card. The perimeter is 15 inches and the area is 8 square inches. The perimeter is 16 inches and the area is 15 square inches. The perimeter is 8 inches and the area is 15 square inches. The perimeter is 8 inches and the area is 16 square inches.

See Solution

Problem 6494

At a water bottling factory, a machine is supposed to put 2 liters of water into the bottles. After an overhaul, management thinks the machine is no longer putting the correct amount of water in. They sample 20 bottles and and find an avg of 2.10 L of water with standard deviation of 0.33 L . Test the claim at 0.01 level of significance.

See Solution

Problem 6495

A weight on a vertical spring is given an initial upward velocity of $5 \mathrm{~cm} / \mathrm{sec}$ from a point 7 cm below equilibrium. Assume that the contstant $\omega$ has a value of 0.1 . Write the formula for the location of the weight at time $t$ . $x=$
Find the location of the weight 5 seconds after it is set in motion. centimeters

See Solution

Problem 6496

Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the store. The revenue reaches a maximum of about $\$ 56000$ in January and a minimum of about $\$ 25000$ in July. Suppose the months are numbered 1 through 12 , and write a function of the form $f(x)=A \sin (B[x-C])+D$ that models the boutique's revenue during the year, where $x$ corresponds to the month. $f(x)=$ $\square$

See Solution

Problem 6497

A population of animals oscillates sinusoidally between a low of 600 on January 1 and a high of 800 on July 1. Graph the population against time and use your graph to find a formula for the population $P$ as a function of time $t$ , in months since the start of the year. Assume that the period of $P$ is one year. $P(t)=$ $\square$

See Solution

Problem 6498

Each morning, Bradley eats $2 / 14$ of a pack of cereal. If he has $11 / 7$ packs of cereal on Monday evening, what fraction of a full pack does he have left on Friday evening?
Put a forward slash (/) between the numerator and denominator. $\square$ Answer : 㖣 \begin{tabular}{|c|c|c|c|c|} \hline Mon & Tues & Wed & Thurs & Fri \\ \hline $1 \frac{1}{7}$ & & & & ? \\ \hline & & & ? \\ \hline \end{tabular}

See Solution

Problem 6499

What is the value of $g(3 g+h)$ where $g=2$ and $h=7$ ?

See Solution

Problem 6500

Jamal is a decorator and uses the same amount of paint each day. He records what fraction of his paint is left at the end of each day. What fraction of his pain does he use each day?
Put a forward slash (/) between the numerator and denominator. Answer \begin{tabular}{|c|c|c|} \hline & end of day ill & $\frac{12}{14}$ \\ \hline paint & end of day 2 & $\frac{5}{7}$ \\ \hline & end of day 3 & $\frac{16}{28}$ \\ \hline \end{tabular}

See Solution

1 ...62 63 64 65 66 67 68 ...122

Word Problem

Problem 6401

Problem 6402

Problem 6403

Which of the following coefficients indicates the most consistent or strongest relationship? - 56 1.08 55

Problem 6404

b) Two resistors are connected in parallel so that their total resistance RRR is 3.6 ohn resistor's resistance must be 3 ohms greater than the other; find the other's if the formula for total resistance in parallel is; R=1r1+1r2R=\frac{1}{r_{1}}+\frac{1}{r_{2}}R=r1​1​+r2​1​.

Problem 6405

Problem 6406

Use the formula for npr\mathrm{n}^{p_{\mathrm{r}}}npr​ to solve.A church has 10 bells in its bell tower. Before each church service 4 bells are rung in sequence. No bell is rung more than once. How many sequences are there? A) 151,200 B) 210 C) 5040 D) 302.400

Problem 6407

Problem 6408

Find the area of the region enclosed by the curves y=x2−4xy=x^{2}-4 xy=x2−4x and y=−x2+6xy=-x^{2}+6 xy=−x2+6x.The area of the region enclosed by the curves is □\square□ (Type an integer or a simplified fraction.)

Problem 6409

Convert the angle 3π5\frac{3 \pi}{5}53π​ from radians to degrees.

Problem 6410

Problem 6411

Which of the following rational inequalities requires the use of technology to solve? a) 1x+5>7\frac{1}{x+5}>7x+51​>7 b) 1x+5>7x+1\frac{1}{x+5}>\frac{7}{x+1}x+51​>x+17​ C) 1x+5>7x2x+1\frac{1}{x+5}>\frac{7 x^{2}}{x+1}x+51​>x+17x2​ d) B and C

Problem 6412

Problem 6413

Problem 6414

Problem 6415

Problem 6416

Problem 6417

Problem 6418

Problem 6419

Problem 6420

40. ab=25\frac{a}{b}=\frac{2}{5}ba​=52​ бол 5a+bb=\frac{5 a+b}{b}=b5a+b​= ?лахин бага вэ?

Problem 6421

Whale Numbers Writing a one-step expression for a real-world situationLast week, Raina drove 279 miles. This week, she drove bbb miles. Using bbb, write an expression for the total number of miles she drove in the two weeks.

Problem 6422

41. 3a+b2=a+3b\frac{3 a+b}{2}=a+3 b23a+b​=a+3b бол bbb нь aaa-аас хэд дахин бага вэ?

Problem 6423

Problem 6424

Problem 6425

Problem 6426

Problem 6427

Problem 6428

Problem 6429

Problem 6430

Complete the following sentence with a power of 10 greater than 1 A terajoule is \qquad times as large as a picojoule. (i) Click on the icon to view the common metric prefixes.

Problem 6431

Problem 6432

Problem 6433

Problem 6434

Problem 6435

Problem 6436

Use 10%10 \%10% to find 40%40 \%40% of 110 :

Problem 6437

Problem 6438

Problem 6439

Problem 6440

Problem 6441

In the blanks below. Find 50%50 \%50% of 156 :

Problem 6442

Determine the quadratic function whose graph is given below. Q Q -10 -5 20- 10- -10- -20- (0, - 6) 5 10 (3,-15) X Points: U of T The quadratic function which describes the given graph is f(x) = ☐ . (Type an expression.)

Problem 6443

Find 75%75 \%75% of 156 : try

Problem 6444

Find 75%75 \%75% of 56 : try

Problem 6445

anie Dads.Question Watch VideoFind an angle θ\thetaθ coterminal to 1163∘1163^{\circ}1163∘, where 0∘≤θ<360∘0^{\circ} \leq \theta<360^{\circ}0∘≤θ<360∘.Answer Attempt 1 out of 2 □\square□ Submit Answer

Problem 6446

Fill in the blanks below. Find 25%25 \%25% of 32 : try

Problem 6447

Fill in the blanks below. Find 50\% of 60 : try

Problem 6448

Problem 6449

Problems 37 - 40, Solve.37. In 1906 , an earthquake of magnitude 7.7 shook San Francisco, California. Compare the amount of energy released by this earthquake to the amount of energy released by the 9.0 magnitude earthquake in Japan on March 11, 2011.

Problem 6450

Problem 6451

Problem 6452

Problem 6453

A 5.0 A current is charging a 0.50 -cm-diameter parallel-plate capacitor.Part APart BWhat is the magnetic field strength at a point 2.5 mm radially from the center of the capacitor? Express your answer with the appropriate units.

Problem 6454

Problem 6455

Problem 6456

Problem 6457

6. A force of 50.N50 . \mathrm{N}50.N is required to stretch a spring 5.0 cm horizontally from its equitiblum position. How much work is needed to stretch the spring another 2.0 cm from this point?

Problem 6458

b) Two resistors are connected in parallel so that their total resistance $R$ is 3.6 ohn resistor's resistance must be 3 ohms greater than the other; find the other's if the formula for total resistance in parallel is; $R=\frac{1}{r_{1}}+\frac{1}{r_{2}}$ .

Use the formula for $\mathrm{n}^{p_{\mathrm{r}}}$ to solve.
A church has 10 bells in its bell tower. Before each church service 4 bells are rung in sequence. No bell is rung more than once. How many sequences are there? A) 151,200 B) 210 C) 5040 D) 302.400

Find the area of the region enclosed by the curves $y=x^{2}-4 x$ and $y=-x^{2}+6 x$ .
The area of the region enclosed by the curves is $\square$ (Type an integer or a simplified fraction.)

Convert the angle $\frac{3 \pi}{5}$ from radians to degrees.

Which of the following rational inequalities requires the use of technology to solve? a) $\frac{1}{x+5}>7$ b) $\frac{1}{x+5}>\frac{7}{x+1}$ C) $\frac{1}{x+5}>\frac{7 x^{2}}{x+1}$ d) B and C

40. $\frac{a}{b}=\frac{2}{5}$ бол $\frac{5 a+b}{b}=$ ?
лахин бага вэ?

Whale Numbers Writing a one-step expression for a real-world situation
Last week, Raina drove 279 miles. This week, she drove $b$ miles. Using $b$ , write an expression for the total number of miles she drove in the two weeks.

41. $\frac{3 a+b}{2}=a+3 b$ бол $b$ нь $a$ -аас хэд дахин бага вэ?

Complete the following sentence with a power of 10 greater than 1 A terajoule is $\qquad$ times as large as a picojoule. (i) Click on the icon to view the common metric prefixes.

Use $10 \%$ to find $40 \%$ of 110 :

In the blanks below. Find $50 \%$ of 156 :

Find $75 \%$ of 156 : try

Find $75 \%$ of 56 : try

anie Dads.
Question Watch Video
Find an angle $\theta$ coterminal to $1163^{\circ}$ , where $0^{\circ} \leq \theta<360^{\circ}$ .
Answer Attempt 1 out of 2 $\square$ Submit Answer

Fill in the blanks below. Find $25 \%$ of 32 : try

Problems 37 - 40, Solve.
37. In 1906 , an earthquake of magnitude 7.7 shook San Francisco, California. Compare the amount of energy released by this earthquake to the amount of energy released by the 9.0 magnitude earthquake in Japan on March 11, 2011.

A 5.0 A current is charging a 0.50 -cm-diameter parallel-plate capacitor.
Part A
Part B
What is the magnetic field strength at a point 2.5 mm radially from the center of the capacitor? Express your answer with the appropriate units.

6. A force of $50 . \mathrm{N}$ is required to stretch a spring 5.0 cm horizontally from its equitiblum position. How much work is needed to stretch the spring another 2.0 cm from this point?

In a sample of 290 adults, 261 had children. Construct a $95 \%$ confidence interval for the true population proportion of adults with children. Give your answers as decimals, to three places $<p<$

Use the table, along with dimensional analysis, to convert the given unit to the unit indicated. $35,000 \mathrm{ft}^{3}$ to gal $\square$ gal (Round to the nearest hundredth as needed.)

If the cost to mail a letter is 48 cents for mail weighing up to one ounce and 29 cents for each additional ounce or fraction of an ounce, find the cost of mailing a letter that weighs 92 grams.
The cost to mail the letter is $\$$ $\square$ (Type an integer or a decimal.)

10. The student council recorded the number of students participating, from each homeroom, in after school activitie The collected counts are shown in the lir plot below.
Which measure of central tendency will change the most if the outlier score is eliminated?