Browse Model problems Studdy Solved!

Problem 601

3. The weekly rental cost of a 20 -foot recreational vehicle is $\$ 129.50$ plus $\$ 0.15$ per mile. a) Find a linear function that expresses the cost, $C$ , as a function of miles driven $m$ . b) What is the rental cost if 860 miles are driven? c) How many miles were driven if the rental cost is $\$ 213.80$ ?

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Problem 602

The given figure shows a transformation of the graph of $f(x)=|x|$ . Write the equation for the transformed graph.
The equation is $y=$ $\square$ (Type an expression using $x$ as the variable. Do not simplify.)

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Problem 603

- Consider a rack-and-pinion system. The rotational motion of the pinion is transformed into transitional motion of the rack
For simplicity, the spring effects are ignored $T_{\text {in }}-T_{\text {out }}=J \frac{d \omega}{d t}+c_{1} \omega$
Dr. Terek A. Tutanf
Example continued
The rotational equation is $\begin{array}{l} T_{\text {in }}-T_{\text {out }}=J \frac{d \omega}{d t}+c_{1} \omega \\ F-c_{2} v=m \frac{d v}{d t} \end{array}$
The transitional equation is
Using the equations And manipulating the rotational and transitional equations with the input torque, Tin, as inputs and velocity, v , as output, we get $\begin{array}{l} T_{\text {out }}=r F \\ \omega=v / r \\ T_{\text {in }}=\left(c_{1} / r+c_{2} r\right) v+(J / r+m r) \frac{d v}{d t} \end{array}$ Dr. Tarek A. Tutunji
Example continued
Let us take a look at the state space equations In general, where x is the states vector, y is the output vector, and $u$ is the input vector
In our example, we will use the states: $\omega$ and $v$ , the inputs: $\mathrm{T}_{\mathrm{in}}$ and F the output: v $\begin{array}{l} {\left[\begin{array}{l} d \omega / d t \\ d v / d t \end{array}\right]=\left[\begin{array}{cc} -c_{1} / J & 0 \\ 0 & -c_{2} / m \end{array}\right]\left[\begin{array}{l} \omega \\ v \end{array}\right]+\left[\begin{array}{cc} 1 / J & -r / J \\ 0 & 1 / m \end{array}\right]\left[\begin{array}{c} T_{i n} \\ F \end{array}\right]} \\ v=\left[\begin{array}{ll} 0 & 1 \end{array}\right]\left[\begin{array}{l} \omega \\ v \end{array}\right] \end{array}$

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Problem 604

Find the Taylor polynomial $T_{3}(x)$ for the function $f$ centered at the number $a$ . $\begin{array}{r} f(x)=x e^{-7 x}, \quad a=0 \\ T_{3}(x)=\square \end{array}$
Graph $f$ and $T_{3}$ in the same viewing rectangle.

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Problem 605

5. [-/5 Points] DETAILS MY NOTES SCALCCC5 8.8.010.
Find the Taylor polynomial $T_{n}(x)$ for the function $f$ at the number $a$ . Graph $f$ and $T_{3}$ on the same paper. $\begin{aligned} & f(x)=\frac{\ln (3 x)}{2 x}, a=\frac{1}{3}, n=3 \\ & T_{3}(x)=\square \end{aligned}$ Need Help? Read it Submit Answer

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Problem 606

Write the following function in the form $\mathrm{y}=\mathrm{a} \sin [\mathrm{b}(\mathrm{x}-\mathrm{c})]$ . Find the period and phase shift. $y=4 \boldsymbol{\operatorname { s i n }}(2 \pi x+10)$
Write the given function in the form $y=a \sin [b(x-c)]$ . $\mathrm{y}=\square \sin [\square(\mathrm{x}-(\square))]$

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Problem 607

Practice Name
Write the slope-intercept form of the equation of each lin 1) 2) $y=-3$ 3) 5)

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Problem 608

A graphing calculator is recommended. Find the Taylor polynomial $T_{3}(x)$ for the function $f$ centered at the number $a$ . $\begin{array}{l} f(x)=\ln (x), a=1 \\ T_{3}(x)=\square \end{array}$
Graph $f$ and $T_{3}$ in the same viewing rectangle.

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Problem 609

Practice Write the slope-intercept form of the equation of each (1) 2) 3) 5)

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Problem 610

A 5.4 ft tall man is walking away from a 29 ft tall lamp post. If he is walking at a rate of $3 \mathrm{ft} / \mathrm{s}$ , at what rate is the length of his shadow changing?

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Problem 611

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 68 and 42 degrees, respectively. Assuming $t$ is the number of hours sinces midnight, find an equation for the temperature, $D$ , in terms of t . $D(t)=$ $\square$

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Problem 612

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 68 and 42 degrees, respectively. Assuming $t$ is the number of hours sinces midnight, find an equation for the temperature, $D$ , in terms of t . $D(t)=$ $\square$

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Problem 613

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 68 and 42 degrees, respectively. Assuming $t$ is the number of hours sinces midnight, find an equation for the temperature, $D$ , in terms of t . $D(t)=$ $\square$

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Problem 614

The enthalpy change for the following reaction is 95.4 kJ . Using bond energies, estimate the $\mathrm{N}-\mathrm{H}$ bond energy in $\mathrm{N}_{2} \mathrm{H}_{4}(\mathrm{~g})$ . $\mathrm{N}_{2}(\mathrm{~g})+2 \mathrm{H}_{2}(\mathrm{~g}) \longrightarrow \mathrm{N}_{2} \mathrm{H}_{4}(\mathrm{~g})$

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Problem 615

43. [-/0.31 Points] DETAILS MY NOTES SCOLALG7 2.2.083. O/100 Submissions Used ASK YOUR TEACHER your answer in dollars.) $\left\{\begin{array}{ll} \square & \text { if } 0<x \leq 1 \\ \square & \text { if } 1<x \leq 2 \\ \text { if } 2<x \leq 3 \\ & \text { if } 3<x \leq 3.5 \end{array}\right.$

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Problem 616

43. [0.24/0.31 Points] DETAILS MYNOTES SCOLALG7 2.2.083. 3/100 Submissions Used PREVIOUS ANSWERS ASKYOUR TEACHER your answer in dollars.) $\left\{\begin{array}{ll} \square & \text { if } 0<x \leq 1 \\ \square & \text { if } 1<x \leq 2 \\ \square & \text { if } 2<x \leq 3 \\ \square & \text { if } 3<x \leq 3.5 \end{array}\right.$

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Problem 617

6. Radioactive decay: The half-life of a radioactive isotope of cobalt is 5.27 years. 15,000 grams are present now. a. Determine $k$ and write the function that would model the amount of cobalt remaining after $t$ years? b. How much cobalt will be present in 20 years? c. When will there be exactly 100 grams remaining?

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Problem 618

Question Watch Video Show Examples
At the end of a snow storm, Carter saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. Let $S$ represent the depth of snow on Carter's lawn, in inches, $t$ hours after the snow stopped falling. A graph of $S$ is shown below. Write an equation for $S$ then state the $y$ -intercept of the graph and determine its interpretation in the context of the problem.

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Problem 619

A system of linear equations is graphed on the $x y$ -plane below.
Which system of linear equations best represents this raph?

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Problem 620

A system of linear equations is graphed on the $x y$ -plane below.
Find the equations of the lines. Use exact numbers. $y=\square x-2$ $y=0.25 x+$ $\square$

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Problem 621

The desired sum is $\$ 3500$ . Payments are made at the end of each quarter for 5 years. Interest is $8 \%$ per year compounded quarterly.

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Problem 622

Calculate $F(8)$ given that $F(5)=3$ and $F^{\prime}(x)=x^{2}$ . Hint: Express $F(8)-F(5)$ as a definite integral. (Use symbolic notation and fractions where needed.) $F(8)=$

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Problem 623

For the polynomial below, -1 is a zero. $h(x)=x^{3}-3 x^{2}-3 x+1$
Express $h(x)$ as a product of linear factors.

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Problem 624

The volume of blood in a person's body is proportional to body weight. A person who weighs 130 pounds has approximately 4 quarts of blood. Estimate the number of quarts of blood in a person who weighs 170 pounds.
Complete the proportion, where the ratios have volumes of blood in the numerators and body weights in the denominators. $\frac{x}{\square}=\frac{\square}{\square}$ (Do not simplify.) There are approximately $\square$ quarts of blood in a person who weighs 170 pounds. (Round to two decimal places as needed.)

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Problem 625

Write a recursive rule and an explicit rule for each arithmetic sequence.
10. $95,90,85,80,75, \ldots$
11. $63,70,77,84,91, \ldots$
12. $86,101,116,131,146, \ldots$
13. $112,110,108,106,104, \ldots$
14. $5,9,13,17,21, \ldots$
15. $67,37,7,-23,-53, \ldots$

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Problem 626

You need 80 mL of a 25\% alcohol solution. On hand, you have a 10\% alcohol mixture. You also have a $30 \%$ alcohol mixture. How much of each mixture will you need to add to obtain the desired solution?
You will need $\square$ mL of the $10 \%$ solution $\square$ mL of the $30 \%$ solution

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Problem 627

If $t$ is in years, and $t=0$ is January 1,2020 , worldwide energy consumption, $r$ , in exajoules ( $10^{18}$ joules) per year, ${ }^{1}$ is modeled by $r=583.9 e^{0.013 t}$ (a) Write a definite integral for the total energy use between the start of 2020 and the start of 2031.
Total energy used $=$ $\square$ $\square$ $d t$ exajoules

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Problem 628

If $t$ is in years, and $t=0$ is January 1,2020 , worldwide energy consumption, $r$ , in exajoules ( $10^{18}$ joules) per year, ${ }^{1}$ is modeled by $r=583.9 e^{0.013 t}$ (a) Write a definite integral for the total energy use between the start of 2020 and the start of 2029.
Total energy used $=$ $\square$ $d t$ exajoules

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Problem 629

Construct an explicit rule in function notation for the arithmetic sequence represented in the graph. Then determine the value of the given term, and explain what it means.
6. The graph shows total cost of a whitewater rafting trip and the corresponding number of passengers on the trip. Find $f(8)$ , and explain what it represents.
7. Ed collects autographs. The grapli shows the total number of autographs that Ed has collected over time, in weeks. Find $f(12)$ , and explain what it represents.
Number of passengers

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Problem 630

The value of a certain investment over time is given in the table below. Answer the questions below to determine what kind of function would best fit the data, linear or exponential. \begin{tabular}{|c|c|c|c|c|} \hline Number of Years Since Investment Made, x & 1 & 2 & 3 & 4 \\ \hline Value of Investment (\ $),$ \mathrm{f}(\mathrm{x}) & 27,171.30 & 22,507.26 & 18,718.31 & 15,412.40$ \\ \hline \end{tabular}
Answer Attempt 1 out of 5 $\square$ function would best fit the data because as $x$ increases, the $y$ values change $\square$ . The $\square$ of this function is approximately $\square$ Submit Answer

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Problem 631

$\text{Make a graph of the situation.}
\text{The equation } y = -2x + 8 \text{ represents the amount } y \text{ (in fluid ounces) of dish detergent in a bottle after } x \text{ days of use.}$

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Problem 632

Graph the equation $y=x^{2}+2 x-8$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Click to plot points. Click points to delete them.

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Problem 633

Score: 0/2 Penalty: none
Question Watch Video Show Examples
What is the equation of the line that passes through the point $(4,-4)$ and has a slope of -3 ? (Diagonal (Diagonal Answer Attempt 1 out of 4 $\square$ Submit Answer Log Out Copyright 02024 DeltaMath.com All Rights Reserved. Privacy Policy | Terms of Service

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Problem 634

Score: 0/1 Penalty: none
Question Watch Video Show Examples
What is an equation of the line that passes through the point $(-1,-6)$ and is perpendicular to the line $x+4 y=12$ ?
Answer Attempt 1 out of 4 $\square$ Submit Answer

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Problem 635

A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 227 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? \begin{tabular}{|c|c|c|c|} \hline Vaccination Status & Diseased & Not Diseased & Total \\ \hline Vaccinated & 41 & 103 & 144 \\ \hline Not Vaccinated & 59 & 24 & 83 \\ \hline Total & 100 & 127 & 227 \\ \hline \end{tabular} Copy Data
Step 1 of 8: State the null and alternative hypothesis.
Answer Tables Keypad Keyboard Shortcuts $H_{0}$ : vaccination and disease status are independent $H_{a}$ : vaccination and disease status are dependent $H_{0}$ : vaccination and disease status are dependent $H_{a}:$ vaccination and disease status are independent Submit Answer

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Problem 636

Sheridan Compahy has delivery equipment that cost $\$ 54,100$ and has been depreciated $\$ 24,900$ . Prepare a tabular summary to record the disposal under the following assumptions. (a)
Your Answer Correct Answer (Used)
It was scrapped as having no value. - Decreases In assets, Mabinties, or stockholders' equity require a negative sign or parentheses. - Increases in expenses and losses require a negative sign or parentheses - Increases in Accumulated Depreciation require a negutive sian or parentheses - Decreases in Accumulated Depreciation are entered as postlve amounts. (b)
Your Answer Correct Answer
Your answer is correct.
It was sold for $\$ 36,800$
Decreases in assets, llabilities, or stoch olders' equity require a negative sign or parentheses. - Increases in expenses and losses require a negative sten or parentheses - Increases in Accumulated Depreciation require a negative sian or parentheses.
Decreases in Acoumakited Depreciation are entered as postive amounts Attempts: 3 of 3 used (c)
It was sold for $\$ 18.100$ - Decreases in assets, liablities, or stockholder' equity require a negotive sign or parentheses, - Increases in expenses and lasses require a negative sign or porentheses. - Increases in Accumulated Depreciation require a negative sizn or parentheses. -Decreases in Accurnulated Depreciation are entered as postive amounts.

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Problem 637

8 What is an equation of the line that passes through $(3,7)$ and has a slope of 2? (1) $y-7=2(x-3)$ (3) $y+7=2(x+3)$ (2) $y-3=2(x-7)$ (4) $y+3=2(x+7)$

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Problem 638

1. Determine the equation of the graphed function given that it is of the form $y=a \sin b x$ or $y=a \cos b x$ , where $b$ is positive.
Enter your next step here $\square$ Submit step View next step

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Problem 639

What is the exponential form of the logarithmic equation? $3=\log _{0.6} 0.216$
Enter your answer in the box. $\square$

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Problem 640

Convert each of the numbers from real to scientific notation. (17) 196.12 (24) 0.00017853 (18) 508.8 $1.9612 \times 10^{2}$ $\qquad$ (19) 0.0005024 (20) 3,949 (21) 0.005909 (22) 938,900 (23) 1.118 (25) $1,237.9$ (26) 1.452 (27) 2.976 (28) 0.101 (29) 0.02417 (30) 4,557 Copyright (c2012 WorksheetWorks.com

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Problem 641

Write and solve an inequality to find the values of $x$ for which the perimeter of the rectangle is less than 104.

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Problem 642

Raven gets a brand new Honda Civic for her high school graduation! The car costs $\$ 24,250$ . The car loses $15 \%$ of its value each year.
1. Write a function to model the value of the car over time.
2. What will be the value of the car after 10 years? Round to the nearest cent.
3. After how many years will the car be worth $\$ 20,000$ ? Round your answer to the nearest tenth. Find the answer algebraically.
You must show thorough, handwritten work. You may only use scratch paper, a writing utensil, and a calculator that does not have a computer algebra system.

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Problem 643

Write the following ratio using two other notatior 7 to 6 Use only the numbers above (not any others).
Notation one: $\square$ $\square$ $\square$ $\square$ $\square$ Notation two:

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Problem 644

Graph the inequality: $y>-4 x$

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Problem 645

Find the regression equation, letting the first variable be the predictor ( $x$ ) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 30 years. Is the result within 5 years of the actual Best Actor winner, whose age was 39 years? Use a significance level of 0.05 . \begin{tabular}{cllllllllllll} \hline Best Actress & 28 & 30 & 30 & 63 & 30 & 34 & 43 & 30 & 64 & 23 & 42 & 53 \\ Best Actor & 44 & 39 & 37 & 47 & 52 & 48 & 58 & 49 & 37 & 58 & 43 & 31 \\ \hline \end{tabular}
Find the equation of the regression line. $\hat{\mathrm{y}}=\square+(\square) \mathrm{x}$ (Round the $y$ -intercept to one decimal place as needed. Round the slope fo three decimal places as needed.)

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Problem 646

Graph: $\left\{\begin{array}{l}-4 x+4 y<28 \\ 2 x+5 y \leq 7\end{array}\right.$

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Problem 647

Given the DNA template strand 3' GTCGAACGT 5', write the amino acid sequence in the N-terminal to C-terminal direction. Note: Enter the amino acids using their three-letter designations. Put a hyphen between each amino acid. (for example, Glu-Asp-Val). Refer to a codon table. amino acid sequence: $\square$ B I U $x_{2}$ $x^{2}$

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Problem 648

Question ID: 109554 answer alues log $56.2 \approx 1.75$ Use the valueslog $5.2 \approx 1.75$ and $\log 5 \approx 0.70$ to find the $\log _{5} 56.2 \approx$ $\qquad$ The solution is $\square$

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Problem 649

Read the problem. Isabella's dance class is 45 minutes long. $20 \%$ of the time is spent stretching. How many minutes does Isabella spend stretching?
Pick the model that represents the problem. \begin{tabular}{|c|c|c|c|c|c|} \hline 0\% & 20\% & 40\% & 60\% & 80\% & 100\% \\ \hline 0 & \multicolumn{4}{|l|}{45} & ? \\ \hline 0\% & 20\% & 40\% & 60\% & 80\% & 100\% \\ \hline 0 & \multicolumn{4}{|l|}{?} & 45 \\ \hline \end{tabular}
How many minutes does Isabella spend stretching? $\square$ minutes Submit Work it out

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Problem 650

Suppose you study family income in a random sample of 200 families. Your results can be summarized as the mean family income was $\$ 40,000$ , the median family income was $\$ 29,000$ , the highest and lowest incomes were $\$ 252,000$ and $\$ 2,500$ , respectively. a. Draw a rough sketch of the income distribution, with clearly labeled axes. Choose the correct answer below. A. income, \$ B. income, \$ C. D. income,\$

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Problem 651

Graph the linear equation. $y=3 x$
Find three ordered pair solutions of the given equation. \begin{tabular}{|c|c|} \hline $\mathbf{x}$ & $\mathbf{y}$ \\ \hline 0 & $\square$ \\ \hline-2 & $\square$ \\ \hline 1 & $\square$ \\ \hline \end{tabular} (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.) Which graph is the graph of $y=3 x$ ? Choose the correct graph below. A. B. c. D.

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Problem 652

A line with a slope of $\frac{1}{2}$ passes through the point $(4,-8)$ . What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $\square$ 믐 Submit Work it out Not feeling ready yet? These can help:

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Problem 653

There are 16 ounces in 1 pound. Juan is mailing a package that weighs 96 ounces. He wants to know the weight of the package in pounds.
Complete the statement to describe how to convert ounces to pounds. To find the weight in pounds, divide $\square$ the number of ounces by the unit rate, 16 $\square$ ounces per pound.
How many pounds is 96 ounces? Complete the equation. 96 ounces $=$ $\square$ pounds

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Problem 654

Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in ${ }^{\circ} \mathrm{F}$ . Find the regression equation, letting chirps in 1 minute be the independent $(x)$ variable. Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute, using the regression equation. What is wrong with this predicted temperature? \begin{tabular}{l|cccccccc} Chirps in 1 min & 1229 & 754 & 846 & 1001 & 842 & 794 & 1144 & 959 \\ \hline Temperature ( $\left.{ }^{\circ} \mathrm{F}\right)$ & 88.1 & 71.5 & 74.1 & 77.7 & 72.5 & 74.4 & 91 & 80.7 \end{tabular}
The regression equation is $\hat{y}=\square+(\square) x$ . (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed.)

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Problem 655

Write the ratio using fractional notation. Do not simplify. $2.7 \text { to } 7.1$
The ratio of 2.7 to 7.1 is $\square$

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Problem 656

Write the following sentence as a proportion. 20 diamonds is to 16 opals as 5 diamonds is to 4
Choose the correct answer below. A. $\frac{20 \text { diamonds }}{16 \text { opals }}=\frac{5 \text { diamonds }}{4 \text { opals }}$ B. $\frac{16 \text { diamonds }}{20 \text { opals }}=\frac{4 \text { diamonds }}{5 \text { opals }}$ C. $\frac{20 \text { opals }}{16 \text { diamonds }}=\frac{5 \text { opals }}{4 \text { diamonds }}$ D. $\frac{16 \text { opals }}{20 \text { diamonds }}=\frac{4 \text { opals }}{5 \text { diamonds }}$

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Problem 657

$\text{Given the parameters: } a = 0.85085714286, \, b = 20.64285714286, \, r = 0.8948345138, \, r^2 = 0.97907750055,$ \text{write the linear equation in the form } y = ax + b.

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Problem 658

Determine the function the geometric sequence shown in the table. \begin{tabular}{|c|c|} \hline $n$ & $f(n)$ \\ \hline 1 & 7 \\ \hline 2 & 28 \\ \hline 3 & 112 \\ \hline 4 & 448 \\ \hline \end{tabular}
Use the keypad to enter your answer in the box. Additional symbols can be accessed using the drop-down arrow at the top of the keypad. $f(n)=\square$ $\square$ Check Answer

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Problem 659

Listen
Determine the function the geometric sequence shown in the table. \begin{tabular}{|c|c|} \hline $n$ & $f(n)$ \\ \hline 1 & 7 \\ \hline 2 & 28 \\ \hline 3 & 112 \\ \hline 4 & 448 \\ \hline \end{tabular}
Use the keypad to enter your answer in the box. Additional symbols can be accessed using the drop-down arrow at the top of the keypad. $f(n)=\mid 7 \times 4^{n-1}$

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Problem 660

1. Convert the cartesian point $(-2 \sqrt{3}, 2)$ into its polar form. List all possible representations.
2. Write the equation of the circle $(x-3)^{2}+(y+4)^{2}=25$ into its polar form $r=\rho(\theta)$ .
3. Write the polar equation of the following polar graph:

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Problem 661

\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-4 & -6 \\ \hline-1 & -1 \\ \hline 0 & 1 \\ \hline 2 & 4 \\ \hline 3 & 7 \\ \hline \end{tabular}
Find a linear function that models the data in the table. $f(x)=$ $\square$ $x+$ $\square$

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Problem 662

Part 1 Rework problem 15 from section 6.2 of your text, involving the solving of a system of equations with matrices. Use the following system of equations instead of the one given in your text. $\begin{array}{l} 1 x_{1}-3 x_{2}=-23 \\ 2 x_{1}-5 x_{2}=-40 \end{array}$ (1) Fill in the blanks below to express this system of equations in matrix form. $\square$ $\square$ $\square$ $\square$ $]\left[\begin{array}{l} x_{1} \\ x_{2} \end{array}\right]=$ $\square$

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Problem 663

A television show conducted an experiment to study what happens when buttered toast is dropped on the floor. When 46 buttered slices of toast were dropped, 25 of them landed with the buttered side up and 21 landed with the buttered side down. Use a 0.10 significance level to test the claim that toast will land with the buttered side down $50 \%$ of the time. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. After that, supposing the intent of the experiment was to assess the claim that toast will land with the buttered side down more than $50 \%$ of the time, write a conclusion that addresses the intent of the experiment.
Let p denote the population proportion of all buttered toast that will land with the buttered side down when dropped. Identify the null and alternative hypotheses to test the claim that buttered toast will land with the buttered side down $50 \%$ of the time. $\mathrm{H}_{0}$ : p $\square$ $\square$ $\mathrm{H}_{1} \mathrm{p}$ $\square$ $\square$ (Type integers or decimals. Do not round.)

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Problem 664

Challenge The table lists recommended amounts of food to order for 25 party guests. Sydney and Nathan are hosting a graduation party for 40 guests. They know \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Party Food } \\ \hline Item & Amount \\ \hline Fried Chicken & 32 pieces \\ \hline Deli Meats & $4 \frac{1}{3}$ pounds \\ \hline Lasagna & $11 \frac{3}{4}$ pounds \\ \hline \end{tabular} there will also be guests stopping by who may have come from other parties. For ordering purposes,
Sydney and Nathan should order $\square$ pieces of chicken. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

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Problem 665

The carbon-14 nuclide radioactively decays by beta emission. Write a balanced nuclear chemical equation that describes this process. $\square$

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Problem 666

Ecco una tabella con il consumo di latte (in litri) per ciascuna persona, all'anno, in diversi Paesi.
Rappresenta questi dati con un ideogramma. \begin{tabular}{|l|c|} \hline \multicolumn{1}{|c|}{ Paese } & litri di latte \\ \hline Giappone & 20 \\ \hline Italia & 70 \\ \hline Inghilterra & 140 \\ \hline Norvegia & 180 \\ \hline Stati Uniti & 150 \\ \hline \end{tabular}

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Problem 667

EXERCISE 2 \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{TPSC WEEKLY PAYROLL} \\ \hline NAME EMPLOVEE & HOURLY RATE & HOUR WORKED & GROSS PAY \\ \hline Shabanjumma & 500 & 36.5 & \\ \hline Rosemary Hamis & 425 & 38 & \\ \hline Stanley Herman & 380 & 45 & \\ \hline jery Muro & 455 & 35 & \\ \hline Rose Moses & 395 & 31 & \\ \hline Anna Materu & 450 & 40 & \\ \hline Hamis Mto & 755 & 33 & \\ \hline Jane Peter & 557 & 36 & \\ \hline Jarman Dupry & 365 & 27.5 & \\ \hline Harun Mussa & 350 & 31.5 & \\ \hline TOTAL & & & \\ \hline \end{tabular}
TASK
1. Develop the worksheet as it appear
2. Gross pay =hourly rate thour worked
3. Calculate total gross pay

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Problem 668

College tuition: The mean annual tuition and fees for a sample of 15 private colleges in California was $\$ 37,500$ with a standard deviation of $\$ 7850$ . A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is greater than $\$ 35,000$ ? Use the $\alpha=0.05$ level of significance and the $P$ -value method with the TI-84 Plus calculator.
Part: $0 / 5$
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \square \\ H_{1}: \mu>35,000 \end{array}$
This hypothesis test is a right-tailed $\square$ test.

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Problem 669

13. Die (mittlere) Geschwindigkeit v eines Fahrzeuges ( $v$ in $\mathrm{m} / \mathrm{s}$ ) ist zur Zeitdauer $t$ ( $t$ in s ) bei konstant zurückgelegtem Weg s ( s in m ) indirekt proportional, d.h. wird die Zeitdauer t $\qquad$ , nimmt die Geschwindigkeit $\qquad$ , wird die Zeitdauer kleiner, nimmt die Geschwindigkeit $\qquad$ . Es gilt das Gesetz: v • t= s a. Stellen Sie eine Funktionsgleichung $v(t)$ auf, die jeder Zeitdauer $t(\mathrm{sec})$ die ihr entsprechende Geschwindigkeit v ( $\mathrm{m} / \mathrm{s})$ bei konstantem Weg $\mathrm{s}(\mathrm{m})$ zuordnet. b. Skizzieren Sie einen möglichen Funktionsgrafen für $v(t)$ für $10<t<50$ , wenn für den zurückgelegten Weg s gilt: $\mathrm{s}=2 \mathrm{~km}$

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Problem 670

2. Samantha has been studying the patterns in her school's cafeteria food prices over the past few weeks. She collects data on the cost of lunch each day: - Day 1: Pizza costs \ $3.50. - Day 2: Pizza costs \$4.00. - Day 3: Pizza costs \$4.50. - Day 4: Pizza costs$ \ $5.00$ .
Question: Predict the price of pizza on Day 7 .

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Problem 671

The graph above is a transformation of the function $x^{2}$ . Give the function in the graph above. $g(x)=$ $\square$

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Problem 672

Preostalo vrijeme 0:45:47 Skrij
Zadana je matrica tehničkih koeficijenata $A=\left[\begin{array}{lll} 0.3 & 0.2 & 0.1 \\ 0.2 & 0.3 & 0.2 \\ 0.3 & 0.3 & 0.1 \end{array}\right]$ ukupni outputi $Q_{1}=120$ i $Q_{3}=100$ te finalna potražnja $q_{2}=33$ . Sastavite pripadnu input-output tablicu. Rješenje: \begin{tabular}{c|c|c|c|c} $\mathrm{Q}_{\mathrm{i}}$ & $\mathrm{Q}_{\mathrm{ij}}$ & $\mathrm{q}_{\mathrm{i}}$ \\ \hline $\square$ & $\square$ & $\square$ & $\square$ & $\square$ \\ $\square$ & $\square$ & $\square$ & $\square$ & $\square$ \\ $\square$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular}

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Problem 673

Write inequalities to represent the situations below.
The vehicle's fuel efficiency is no less than 40 miles per gallon. Use f to represent the vehicle's fuel efficiency (in miles per gallon). $\square$
To qualify for the championship, a runner must complete the race in less than 45 minutes. Use $t$ to represent the time (in minutes) of a runner who qualifies for the championship. $\square$

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Problem 674

Write inequalities to represent the situations below.
The cargo of the truck weighs at most 2,900 pounds. Use w to represent the weight (in pounds) of the cargo. $\square$
The distance to the nearest exit door is no more than 200 feet. Use $d$ to represent the distance (in feet) to the nearest exit door. $\square$

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Problem 675

For Problems 1-5. start by drawing an arrow for the first addend in the sum. Draw two arrows to represent this addition calculation. Then. complete the equation. $5+3=$
Draw two arrows to represent this addition calculation. Then. complete the equation. $5+-3=$
3 Draw two arrows to represent this addition calculation. Then. complete the equation. $-5+-3=$
Draw two arrows to represent this addition calculation. Then. complete the equation. $-5+3=$
Draw two arrows to represent this addition calculation. Then. complete the equation. $3+-5=-2$
6 The calculations in Problems 4 and 5 show that addition of integens is

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Problem 676

At January 1.2027, Pharoah Company reported the following property. plant, and equipment accounts: \begin{tabular}{|c|c|} \hline Accumulated depreclation-buildings & \62,000,000 \\ \hline Accumulated depreciation-equipment & 52.750000 \\ \hline Buildings & 97.400,000 \\ \hline Equlpment & 150,300,000 \\ \hline Land & 23,650,000$ \\ \hline \end{tabular}
The company uses stralght-line depreciation for buildings and equipment. its year-end is December 31, and it makes adjustments annualy. The buildings are estimated to have a 40 -year usefullife and no salvage value; the equipment is estimated to have a 10 -vear useful life and no salvage value.
During 2027, the following selected transactions occurred:
Apr. 1 Purchased land tor $\$ 4.3$ million. Paid $\$ 1.075$ millon cash and issued a 3 -year, $6 \%$ note payable for the balance, Interest on the note is payable annually each April 1.
May 1 Sold equipment for $\$ 320,000$ cash. The equipment cost $\$ 3.36$ million when originally purchased on January 1,2019. June 1 Sold land for $\$ 58$ million. Recelved $\$ 600,000$ cash and accepted a $3-$ year, $5 \%$ note for the balance. The land cost $\$ 1.3$ million when purchased on June 1,2021. Interest on the note is due annually each June 1.
July 1 Purchased equipment for $\$ 2.6$ million cash. Dec. 31 Retired equigment that cost $\$ 1$ million when purchased on December 31, 2017. No proceeds were received. (a)
Your Answer Correct Answer (Used) - Your answer is partially correct.
Prepare a tabular summary that includes the property. plant, and equipment balances as of January 1, 2027. - Decreases in assets, Babilites, or stockholders' equily require a negative sign or parentheses. - Increases in expenses and losses require a negative stgn or parentheses - Increases in Accumulated Depredation require a negative sign or parentheses - Decreases in Accuminated Depreciation are entered as postive amounts. eTextbook and Media List of Accounts Attempts: 3 of 3 used (b)
Record the above transactions in the tabular summary from part (a). - Decreases in assets, Babitities, or stochalders' equity require a negative stgn or parmitheses, - thcreases in eqenses ond losses require a negative sign or parentheses.
Increases in Accumulated Deprediation require a negative sizn or parenthees. - Decreases in Accumulated Depreciation are entered as postive anounts.

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Problem 677

Write an equation for the function graphed above. $g(v)=-(v-2)^{2}+4$
Round to 4 decimal places as needed.

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Problem 678

Journalize the following merchandise transactions. The company uses the perpetual inventory system. a. Sold merchandise on account, $\$ 17,300$ , with terms $n / 30$ . The cost of the merchandise sold was $\$ 12,600$ . If an amount box does not require an entry, leave it blank. $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ b. Received payment. If an amount box does not require an entry, leave it blank. $\square$ $\square$ $\square$ $\square$ $\square$ $\square$

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Problem 679

It takes two scoops of detergent for every three scoops of fabric softener. If there are 28 scoops of detergent remaining, how many scoops of fabric softener will be needed? (CManeuvering the Middle LLC, 2015

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Problem 680

27) A cubic box has sides of length 8.0 cm . What is the maximum number of pulverized spherical balls of diameter 1.5 cm that can fit inside the closed box $\left(V_{\text {sphere }}=4 / 3 \pi r^{3}\right)$ ?

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Problem 681

Ivanna is saving money to buy a bike. She has $\$ 63$ and is going to save an additional $\$ 9$ each week. The bike costs $\$ 198$ . In how many weeks will she have enough money to buy the bike? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 63,9, and 198. Let $w$ represent the number of weeks.
$\square$ $\square$ $\square$
$\square$ $w-\square=$ $\square$ $w+$ $\square$ (b) Solve the equation in part (a) to find the number of weeks. $w=\square$

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Problem 682

Jane is saving money to buy a bike. She has $\$ 42$ and is going to save an additional $\$ 7$ each week. The bike costs $\$ 133$ . In how many weeks will she have enough money to buy the bike? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 42, 7, and 133. Let $w$ represent the number of weeks. $\square w+\square=\square$
$\square$ $\square$ $w$ $=$ (b) Solve the equation in part (a) to find the number of weeks. $w=\square$

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Problem 683

Choose the augmented matrix for the system of linear equations. $\left\{\begin{array}{c} 3 x+y+z=0 \\ 10 x-10 z=0 \\ x+10 y+3 z=10 \end{array}\right.$

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Problem 684

Find the sum of the convergent series by using a well-known function. (Round your answer to four decimal places.) $\sum_{n=0}^{\infty}(-1)^{n} \frac{1}{9^{2 n+1}(2 n+1)}$

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Problem 685

Draw the shear force and bending moment diagram for the beam below. Let $\mathrm{P}=800 \mathrm{~N}, \mathrm{a}=5 \mathrm{~m}$ , and $\mathrm{L}=12 \mathrm{~m}$ .

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Problem 686

Find the equation of the line with the given properties. Sketch the graph of the line. The line passes through $(-8,3)$ and is perpendicular to the $y$ -axis.

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Problem 687

5. Parker needs 2.4 yards of ribbon. Each yard of ribbon costs $\$ 0.90$ . Shade the grid to model the product. How much will the ribbon cost?

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Problem 688

3.13 LAB: Exact change
Write a program with total change amount as an integer input, and output the change using the fewest coins, one coin type per line. The coin types are Dollars, Quarters, Dimes, Nickels, and Pennies. Use singular and plural coin names as appropriate, like 1 Penny vs. 2 Pennies. Ex. If the input is:
0 (or less than 0), the output is: No change
Ex. If the input is:
45 the output is:
1 Quarter 2 Dimes \$14004.464772 06agy
LAB ACTIVITY 3.13.1: LAB: Exact change $0 / 10$

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Problem 689

7. A cubic polynomial function has the following table of values. Determine the equation of the function in standard form $f(x)=a x^{3}+b x^{2}+c x+d$ . $\begin{array}{l} f(x)=a x^{3}+b x^{2}+c x+d \\ f(x)=a x^{3}+b x^{2}+c x+d \\ f(x)=18 x^{5}+b x^{2}+c x-6 \\ f(x)=18 x^{3}+b x^{2}+c x-6 \\ -8=18(2)^{3}+b(2)^{2}+c(2)-6 \\ -20=18(-2)^{3}+b(-2)^{2}+c(-2)-6 \\ -20=-144+4 b-2 c-6 \\ -20+6+144=4 b-2 c \\ \text { (2) } 130=4 b-2 c \end{array}$ $130=4 b-2 c$

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Problem 690

I- Daws chacun de cas suivints, determiner un trinount $P$ diw second degré ter gue: oos $P$ adinet pom racine lo nom hos 4 \& $\$ 7$ . b) $P$ admet whe racine double égale à -5 c) $P$ admet pour racilues lo nombis -9 e 58 et admet un madimun sin $\mathbb{R}$ . d) $P$ nladimet anicune racine et adinat un madien som 12

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Problem 691

Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 3 & 15 \\ \hline 4 & 31 \\ \hline 5 & 47 \\ \hline 6 & 63 \\ \hline \end{tabular}
Write your answer as an equation with y first, followed by an equals sign.

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Problem 692

Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 37 & 42 \\ \hline 41 & 46 \\ \hline 65 & 70 \\ \hline 72 & 77 \\ \hline \end{tabular}
Write your answer as an equation with y first, followed by an equals sign.

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Problem 693

Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-78 & 78 \\ \hline-40 & 40 \\ \hline-2 & 2 \\ \hline 36 & -36 \\ \hline \end{tabular}
Write your answer as an equation with y first, followed by an equals sign.

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Problem 694

(1 point) Setup the Riemann sum $\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{k=1}^{n} f\left(\bar{x}_{k}\right) \Delta x$ for the given integral. Answer: $\int_{3}^{8} x^{3} d x=\lim _{n \rightarrow \infty} \sum_{k=1}^{n}$

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Problem 695

11. a) Determine the equation of the following conic. b) If this circle is translated 9 units to the right and 5 units up, what is the equation of this conic? c) Horizontally stretch the circle in (b) by a factor of 2 , what is the equation of this conic? $(h, k)=\left(\frac{-6}{+9}, \frac{-2}{+5}\right) \rightarrow(3,3)$

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Problem 696

3. Determine a possible equation to represent each function. a)

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Problem 697

The graph of $f(x)=\frac{1}{x}$ is shown below. Let $g$ be a transformation of $f(x)=\frac{1}{x}$ such that the graph of $f$ is shifted down 2 and right 4. Draw the graph of $y=g(x)$ and write its formula below.
Clear All $\square$ Write the formula for of $g(x)$ below.

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Problem 698

In a closed container, $\mathrm{SO}_{2} \mathrm{Cl}_{2}$ dissociates according the following reaction; $\mathrm{SO}_{2} \mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_{2}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g})$
When 1.00 mol of $\mathrm{SO}_{2} \mathrm{Cl}_{2}$ dissociates, the equilibrium mixture contains 0.80 mol of $\mathrm{Cl}_{2}$ at 673 K and a total pressure of 125 atm .
Write an expression for the equilibrium constant, $\mathrm{K}_{\mathrm{p}}$ . Calculate the partial pressure of each gases in the equilibrium mixture. [5 marks]

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Problem 699

Question 7 Find a function of the form $y=A \sin (k x)+C$ or $y=A \cos (k x)+C$ whose graph matches the function shown below:
Leave your answer in exact form; if necessary, type pi for $\pi$ . $y=$ $\square$

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Problem 700

The following table shows the average new car transaction price in the USA as a percentage of disposable income. \begin{tabular}{|c|c|c|} \hline & Year & $\%$ of Disposable Income \\ \hline 1960 & 0 & 43 \\ 1967 & 7 & 62 \\ 1994 & 34 & 85 \\ \hline \end{tabular} (A) Find a quadratic function $f(x)=a x^{2}+b x+c$ that fits the data, where $x$ represents the number of years after 1960 . $f(x)=\square x^{2}+3.1 x+43$ (Round to three decimal places as needed.)

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Model

Problem 601

Problem 602

The given figure shows a transformation of the graph of f(x)=∣x∣f(x)=|x|f(x)=∣x∣. Write the equation for the transformed graph.The equation is y=y=y= □\square□ (Type an expression using xxx as the variable. Do not simplify.)

Problem 603

Problem 604

Find the Taylor polynomial T3(x)T_{3}(x)T3​(x) for the function fff centered at the number aaa. f(x)=xe−7x,a=0T3(x)=□\begin{array}{r} f(x)=x e^{-7 x}, \quad a=0 \\ T_{3}(x)=\square \end{array}f(x)=xe−7x,a=0T3​(x)=□​Graph fff and T3T_{3}T3​ in the same viewing rectangle.

Problem 605

Problem 606

Problem 607

Practice NameWrite the slope-intercept form of the equation of each lin 1) 2) y=−3y=-3y=−3 3) 5)

Problem 608

Problem 609

Practice Write the slope-intercept form of the equation of each (1) 2) 3) 5)

Problem 610

A 5.4 ft tall man is walking away from a 29 ft tall lamp post. If he is walking at a rate of 3ft/s3 \mathrm{ft} / \mathrm{s}3ft/s, at what rate is the length of his shadow changing?

Problem 611

Problem 612

Problem 613

Problem 614

Problem 615

Problem 616

Problem 617

Problem 618

Problem 619

A system of linear equations is graphed on the xyx yxy-plane below.Which system of linear equations best represents this raph?

Problem 620

A system of linear equations is graphed on the xyx yxy-plane below.Find the equations of the lines. Use exact numbers. y=□x−2y=\square x-2y=□x−2 y=0.25x+y=0.25 x+y=0.25x+ □\square□

Problem 621

The desired sum is $3500\$ 3500$3500. Payments are made at the end of each quarter for 5 years. Interest is 8%8 \%8% per year compounded quarterly.

Problem 622

Calculate F(8)F(8)F(8) given that F(5)=3F(5)=3F(5)=3 and F′(x)=x2F^{\prime}(x)=x^{2}F′(x)=x2. Hint: Express F(8)−F(5)F(8)-F(5)F(8)−F(5) as a definite integral. (Use symbolic notation and fractions where needed.) F(8)=F(8)=F(8)=

Problem 623

For the polynomial below, -1 is a zero. h(x)=x3−3x2−3x+1h(x)=x^{3}-3 x^{2}-3 x+1h(x)=x3−3x2−3x+1Express h(x)h(x)h(x) as a product of linear factors.

Problem 624

Problem 625

Problem 626

Problem 627

Problem 628

Problem 629

Problem 630

Problem 631

$\text{Make a graph of the situation.}\text{The equation } y = -2x + 8 \text{ represents the amount } y \text{ (in fluid ounces) of dish detergent in a bottle after } x \text{ days of use.}$

Problem 632

Graph the equation y=x2+2x−8y=x^{2}+2 x-8y=x2+2x−8 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.Click to plot points. Click points to delete them.

Problem 633

Problem 634

Score: 0/1 Penalty: noneQuestion Watch Video Show ExamplesWhat is an equation of the line that passes through the point (−1,−6)(-1,-6)(−1,−6) and is perpendicular to the line x+4y=12x+4 y=12x+4y=12 ?Answer Attempt 1 out of 4 □\square□ Submit Answer

Problem 635

Problem 636

Problem 637

8 What is an equation of the line that passes through (3,7)(3,7)(3,7) and has a slope of 2? (1) y−7=2(x−3)y-7=2(x-3)y−7=2(x−3) (3) y+7=2(x+3)y+7=2(x+3)y+7=2(x+3) (2) y−3=2(x−7)y-3=2(x-7)y−3=2(x−7) (4) y+3=2(x+7)y+3=2(x+7)y+3=2(x+7)

Problem 638

1. Determine the equation of the graphed function given that it is of the form y=asin⁡bxy=a \sin b xy=asinbx or y=acos⁡bxy=a \cos b xy=acosbx, where bbb is positive.Enter your next step here □\square□ Submit step View next step

Problem 639

What is the exponential form of the logarithmic equation? 3=log⁡0.60.2163=\log _{0.6} 0.2163=log0.6​0.216Enter your answer in the box. □\square□

Problem 640

Problem 641

Write and solve an inequality to find the values of xxx for which the perimeter of the rectangle is less than 104.

Problem 642

Problem 643

Write the following ratio using two other notatior 7 to 6 Use only the numbers above (not any others).Notation one: □\square□ □\square□ □\square□ □\square□ □\square□ Notation two:

Problem 644

Graph the inequality: y>−4xy>-4 xy>−4x

Problem 645

Problem 646

Graph: {−4x+4y<282x+5y≤7\left\{\begin{array}{l}-4 x+4 y<28 \\ 2 x+5 y \leq 7\end{array}\right.{−4x+4y<282x+5y≤7​

Problem 647

Problem 648

Question ID: 109554 answer alues log 56.2≈1.7556.2 \approx 1.7556.2≈1.75 Use the valueslog 5.2≈1.755.2 \approx 1.755.2≈1.75 and log⁡5≈0.70\log 5 \approx 0.70log5≈0.70 to find the log⁡556.2≈\log _{5} 56.2 \approxlog5​56.2≈ \qquad The solution is □\square□

Problem 649

Problem 650

Problem 651

Problem 652

Problem 653

Problem 654

Problem 655

Write the ratio using fractional notation. Do not simplify. 2.7 to 7.12.7 \text { to } 7.12.7 to 7.1The ratio of 2.7 to 7.1 is □\square□

Problem 656

Problem 657

The given figure shows a transformation of the graph of $f(x)=|x|$ . Write the equation for the transformed graph.
The equation is $y=$ $\square$ (Type an expression using $x$ as the variable. Do not simplify.)

Find the Taylor polynomial $T_{3}(x)$ for the function $f$ centered at the number $a$ . $\begin{array}{r} f(x)=x e^{-7 x}, \quad a=0 \\ T_{3}(x)=\square \end{array}$
Graph $f$ and $T_{3}$ in the same viewing rectangle.

Practice Name
Write the slope-intercept form of the equation of each lin 1) 2) $y=-3$ 3) 5)

A 5.4 ft tall man is walking away from a 29 ft tall lamp post. If he is walking at a rate of $3 \mathrm{ft} / \mathrm{s}$ , at what rate is the length of his shadow changing?

A system of linear equations is graphed on the $x y$ -plane below.
Which system of linear equations best represents this raph?

A system of linear equations is graphed on the $x y$ -plane below.
Find the equations of the lines. Use exact numbers. $y=\square x-2$ $y=0.25 x+$ $\square$

The desired sum is $\$ 3500$ . Payments are made at the end of each quarter for 5 years. Interest is $8 \%$ per year compounded quarterly.

Calculate $F(8)$ given that $F(5)=3$ and $F^{\prime}(x)=x^{2}$ . Hint: Express $F(8)-F(5)$ as a definite integral. (Use symbolic notation and fractions where needed.) $F(8)=$

For the polynomial below, -1 is a zero. $h(x)=x^{3}-3 x^{2}-3 x+1$
Express $h(x)$ as a product of linear factors.

$\text{Make a graph of the situation.}
\text{The equation } y = -2x + 8 \text{ represents the amount } y \text{ (in fluid ounces) of dish detergent in a bottle after } x \text{ days of use.}$

Graph the equation $y=x^{2}+2 x-8$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Click to plot points. Click points to delete them.

Score: 0/1 Penalty: none
Question Watch Video Show Examples
What is an equation of the line that passes through the point $(-1,-6)$ and is perpendicular to the line $x+4 y=12$ ?
Answer Attempt 1 out of 4 $\square$ Submit Answer

8 What is an equation of the line that passes through $(3,7)$ and has a slope of 2? (1) $y-7=2(x-3)$ (3) $y+7=2(x+3)$ (2) $y-3=2(x-7)$ (4) $y+3=2(x+7)$

1. Determine the equation of the graphed function given that it is of the form $y=a \sin b x$ or $y=a \cos b x$ , where $b$ is positive.
Enter your next step here $\square$ Submit step View next step

What is the exponential form of the logarithmic equation? $3=\log _{0.6} 0.216$
Enter your answer in the box. $\square$

Write and solve an inequality to find the values of $x$ for which the perimeter of the rectangle is less than 104.

Write the following ratio using two other notatior 7 to 6 Use only the numbers above (not any others).
Notation one: $\square$ $\square$ $\square$ $\square$ $\square$ Notation two:

Graph the inequality: $y>-4 x$

Graph: $\left\{\begin{array}{l}-4 x+4 y<28 \\ 2 x+5 y \leq 7\end{array}\right.$

Question ID: 109554 answer alues log $56.2 \approx 1.75$ Use the valueslog $5.2 \approx 1.75$ and $\log 5 \approx 0.70$ to find the $\log _{5} 56.2 \approx$ $\qquad$ The solution is $\square$

Write the ratio using fractional notation. Do not simplify. $2.7 \text { to } 7.1$
The ratio of 2.7 to 7.1 is $\square$

\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-4 & -6 \\ \hline-1 & -1 \\ \hline 0 & 1 \\ \hline 2 & 4 \\ \hline 3 & 7 \\ \hline \end{tabular}
Find a linear function that models the data in the table. $f(x)=$ $\square$ $x+$ $\square$

The carbon-14 nuclide radioactively decays by beta emission. Write a balanced nuclear chemical equation that describes this process. $\square$

The graph above is a transformation of the function $x^{2}$ . Give the function in the graph above. $g(x)=$ $\square$