Analyze

Problem 401

Determine whether the given ordered pair is a solution of the system of equations. (4,5);4x+y=113x+y=7\begin{array}{r} (4,5) ; \quad-4 x+y=-11 \\ 3 x+y=7 \end{array}

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Problem 402

(4) Explain what is wrong with each of the following. (a) Point QRSQ R S. (b) ACundefined\overleftrightarrow{A C} and BDundefined\overleftrightarrow{B D} bisect each other. (C) Point MM \cong Point WW

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Problem 403

\begin{tabular}{lcc} \hline Store & \begin{tabular}{c} Travel Time Each Way \\ (Minutes) \end{tabular} & \begin{tabular}{c} Price of a Sneakers \\ (Dollars per sneakers) \end{tabular} \\ \hline Local Shoe Store & 15 & 112 \\ Different Neighborhood in Town & 30 & 98 \\ Rural Outlet & 60 & 86 \\ \hline \end{tabular}
Juanita earns an hourly wage of $42\$ 42 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job costs her $42\$ 42 in lost income. Assume that Juanita's travel time is the same each way (to and from the store) and that it will take her 30 minutes once she reaches a store to complete her shopping. Assume throughout the question that Juanita incurs no additional costs other than the sneakers, such as gas.
Complete the following table by computing the opportunity cost of Juanita's time and the total cost of shopping at each location. \begin{tabular}{lllll} & \begin{tabular}{c} Opportunity Cost of Time \\ Store \end{tabular} & \begin{tabular}{c} Price of a Sneakers \\ (Dollars per sneakers) \end{tabular} & \begin{tabular}{c} Total Cost \\ (Dollars) \end{tabular} \\ \hline Local Shoe Store & \square & 112 & \square \\ Different Neighborhood in Town & \square & 98 & \square \\ Rural Outlet & \square & 86 & \square \end{tabular}
Assume that Juanita considers both her opportunity costs and the price of sneakers when making her shopping decision. Juanita will minimize her cost of buying the sneakers if she shops at the \qquad

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Problem 404

Name the property of inequality thateach statement illustrates.
3. If m<6=m<7m<6=m<7, then m<7=m<6m<7=m<6
4. m<1=m<2m<1=m<2 and m<2=m<5m<2=m<5. So, m<1=m<5m<1=m<5.
5. If JK=KLJ K=K L and KL=16K L=16, then JK=16J K=16.
6. ZY=ZYZ Y=Z Y

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Problem 405

22. The ordered pairs below give production (x) and consumption (y)(y) of primary energy in quadrillion BTUs for a sample of countries in 1995. \begin{tabular}{ll} Australia (7.29,4.43)(7.29,4.43) & Mexico (8.15,5.59)(8.15,5.59) \\ Brazil (4.55,6.76)(4.55,6.76) & Poland (3.74,3.75)(3.74,3.75) \\ Canada (16.81,11.72)(16.81,11.72) & Russia (39.1,26.75)(39.1,26.75) \\ China (35.49,35.67)(35.49,35.67) & Saudi Arabia (20.34,3.72)(20.34,3.72) \\ France (4.92,9.43)(4.92,9.43) & South Africa (6.08,5.51)(6.08,5.51) \\ Germany (5.42,13.71)(5.42,13.71) & United States (69.1,88.28)(69.1,88.28) \\ India (8.33,10.50)(8.33,10.50) & United Kingdom (10.57(10.57. \\ Indonesia (6.65,3.06)(6.65,3.06) & 9.85)9.85) \\ Iran (9.35.3.90)(9.35 .3 .90) & Veneruela (8.22.2.53)(8.22 .2 .53) \end{tabular}
Japan (3.98,21.42)(3.98,21.42) a. Make a scatter plot of the data b. Find a linear model for the data. Graph the model with the scatter plot. c. In 1995, what three countries were the world's leading producers and consumers of energy? d. As a general trend, what does it mean if a country's coordinates lie above the linear model? e. As a general trend, what does it mean if a country's coordinates lie below the linear model? f. Identify any countries whose coordinates appear to differ dramatically from most of the others.

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Problem 406

7.
Why do many experiments include several trials instead of a single trial? a) It is not nocossary to repeat trials b) Repetition of trials decreases the sample size of the experiment. c) Repetition of trials makes data easier to d) Repetition of trials increases the accuracy of the analyze. results

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Problem 407

\begin{tabular}{|c|c|c|} \hliney=y= & x|x| & yy is.. \\ \hlinex1x_{1} & y1\because y_{1} & \\ \hline-4 & 4 & \\ \hline-3 & 3 & \square \\ \hline - & 3 & A \ \\ \hline-2 & 2 & ・ \\ \hline-1 & 1 & \sim \sim \sim \\ \hline 0 & 0 & DNDOH \\ \hline 1 & 1 & \square \\ \hline & & +1+1+1+1 \\ \hline 2 & 2 & a+iO \\ \hline 3 & 3 & \because \\ \hline 4 & 4 & H1MMHAMM1MO \\ \hline \end{tabular} \begin{tabular}{|c|c|c|} \hline & & yy is a number squared \\ \hlinex1x_{1} & y1\because y_{1} & HHH \\ \hline-4 & 2 & \square M \\ \hline-3 & 9 & \rightarrow 的 \\ \hline-2 & - & \\ \hline-1 & 1 & 0. \\ \hline 0 & 0 & a \\ \hline 1 & 1 & \\ \hline & & - 1 - 1 - 1 \\ \hline 2 & ・ & \therefore Z \\ \hline 3 & 9 & 414-1 \\ \hline 4 & 2 & \\ \hline \end{tabular}

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Problem 408

1. m5n2+mn2+n6m^{5} n^{2}+m n^{2}+n^{6} The degree of the polynomial is 5 The degree of the polynomial is 6 The degree of the polynomial is 7 The polynomial is a monomial The polynomial is a binomial The polynomial is a trinomial

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Problem 409

Section 18 - Organing Ifformation with Vemn Diagrams Question 7 of 20 (1 point) 1 Question Attempt 1 of Unlimited A college food court surveyed 696 students to see how many drink soda, how many drink milk, and how many drink tea. The Venn diagram below shows the results. (Each number gives the number of students who fall into that Venn diagram category.)
All students in the survey (a) How many of the students drink tea but don't drink soda? \square students (b) How many of the students drink neither milk nor tea? \square students (c) How many of the students drink exactly one of the three drinks? \square students Save

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Problem 410

Give the name for each of the following transition metal ions. Fe3+\mathrm{Fe}^{3+} Blank 1 Cu+\mathrm{Cu}^{+} Blank 2 Zn2+\mathrm{Zn}^{2+} Blank 3

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Problem 411

Give the name for each of the following monatomic or polyatomic ions. \begin{tabular}{|l|l} \hline O2\mathrm{O}^{2-} &  Blank 1\underline{\text { Blank } 1} \\ \hline SO42\mathrm{SO}_{4}^{2-} &  Blank 2 \underline{\text { Blank 2 }} \\ \hline F\mathrm{F}^{-} &  Blank 3 \underline{\text { Blank 3 }} \\ \hline K+\mathrm{K}^{+} & Blank4\underline{B l a n k} 4 \\ \hline \end{tabular}

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Problem 412

Determine whether the function has an inverse function. f(x)=x1,x1f(x)=\sqrt{x-1}, \quad x \geq 1 Yes, ff does have an inverse. No, ff does not have an inverse.
If it does, find the inverse function. (If an answer does not exist, enter DNE.) f1(x)=f^{-1}(x)= \square x0x \geq 0

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Problem 413

\begin{tabular}{|c|c|c|} \hlinex+3y=6x+3 y=6 & Function & Not a function \\ \hlinex=2y23x=2 y^{2}-3 & Function & Not a function \\ \hliney=4xy=4 x & Function & Not a function \\ \hlinex=9yx=-9 y & Function & Not a function \\ \hline \end{tabular}

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Problem 414

Sketch the graph of the following circle. x2+(y4)2=25x^{2}+(y-4)^{2}=25 (a) Find the center of the circle. (b) Find the radius of the circle. (c) Graph the circle. (a) Find the center of the circle. \square (Type an ordered pair.)

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Problem 415

25. What must be known to graph the equation 6x+8y=4806 x+8 y=480 on a coordinate plane? a. The maximum values for xx and yy only b. The differential of xx and yy c. The intercepts where the line crosses the axes d. The derivatives of xx and yy

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Problem 416

Sketch the graph of the following circle. x2+(y3)2=36x^{2}+(y-3)^{2}=36 (a) Find the center of the circle. (b) Find the radius of the circle. (c) Graph the circle. (a) Find the center of the circle. \square (Type an ordered pair.)

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Problem 417

Use the graph to determine the domain and range of the function
The domain of the function is \square (Type your answer in interval notation.) Textbook Ask my instructor Clear al

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Problem 418

Find the domain of the following function. Do not use a g f(x)=1x22x3f(x)=\frac{1}{x^{2}-2 x-3}
The domain is \square (Type your answer in interval notation.)

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Problem 419

Using Theorem 1.30, can you determine if the geometric series j=0(23)j\sum_{j=0}^{\infty}\left(\frac{2}{3}\right)^{j} converges or diverges? If it converges, what is its sum?

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Problem 420

Mai Jun wants to buy the gaming laptop on hire-purchase. She pays a deposit of 20%20 \% of the cash price and the remaining will be paid in 24 monthly instalments of $134.68\$ 134.68 at a simple interest rate of r%r \% per annum. (a) Calculate the extra amount she pays compared to the cash price.  Mepsit =20100×$3848=$769.60 extra paid =$4001.92$3848=$133.92\begin{array}{l} \text { Mepsit }=\frac{20}{100} \times \$ 3848 \\ =\$ 769.60 \\ \text { extra paid }=\$ 4001.92-\$ 3848 \\ =\$ 133.92 \end{array} 24 monthy instalmets =$134.68×24=$3232.32 Chire-prohase) =$ Total amant of movey =$3232.32+$769.60=$4001.92\begin{aligned} 24 \text { monthy instalmets } & =\$ 134.68 \times 24 \\ & =\$ 3232.32 \\ \text { Chire-prohase) } & =\$ \begin{aligned} \text { Total amant of movey } & =\$ 3232.32+\$ 769.60 \\ & =\$ 4001.92 \end{aligned} \end{aligned}
Answer \153.92 153.92 \qquad[3](b)Henceorotherwise,calculatethevalueof [3] (b) Hence or otherwise, calculate the value of r$.

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Problem 421

Example 4.16 Sketch the graph of each of the following functi Hence, state its domain and range. (a) f(x)=3x+1f(x)=3^{x+1}. (b) f(x)=3x1f(x)=3^{x}-1. (c) f(x)=3x+1f(x)=3^{x}+1 (d) f(x)=3xf(x)=3^{x}. (e) f(x)=(14)x+1f(x)=\left(\frac{1}{4}\right)^{x+1} (f) f(x)=(14)x1f(x)=\left(\frac{1}{4}\right)^{x}-1 (g) f(x)=(14)x+1f(x)=-\left(\frac{1}{4}\right)^{x}+1 (h) f(x)=(14)x+1f(x)=-\left(\frac{1}{4}\right)^{x+1}

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Problem 422

(a) Determine by observation whether the difference will be a positive number, zero, or a negative number. (b) Find the difference using your calculator. 381380381-380 (a) The difference is \square . (b) 381380=381-380= \square

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Problem 423

Choose ALL of the operations for which the numbers in the operation must be like numbers, i.e., they must be expressed in the same unit.
Select Answer(s) multiplication subtraction exponentiation division addition

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Problem 424

Find the xx - and yy-intercepts. Then graph the equation. y=8y=-8
Find the xx-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The xx-intercept is \square (Type an ordered pair.) B. The equation has no xx-intercept.

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Problem 425

Part 1 of 2 Points: 0 of 6
In 2008 , the number of digital cameras shipped totaled 192 million. There were 29 million shipped in 2013 . Find and interpret the average rate of change in the number of digital cameras shipped per year.
The average rate of change is \square million digital cameras per year. (Type an integer or a decimal. Round to the nearest million as needed.).

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Problem 426

Find the xx-intercept and the yy-intercept. Then graph the equation. x+8=0x+8=0 A. The x-intercept is (8,0)(-8,0). (Type an ordered pair.) B. The equation has no x-intercept.
Find the yy-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The yy-intercept is \square . ITuno an nrdarad nair)

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Problem 427

The accompanying graph shows the total distance ss traveled by a bicyclist after tt hours.
Using the graph, answer parts (a) through (c). (a) Which of the following is the bicyclist's average speed, in mph, over the time interval [0,1][0,1] ? A. 12 mph B. 62 mph C. -62 mph D. -12 mph

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Problem 428

Each of the following three data sets represents the IQ scores of a random sample of adults. IQ scores are known to have a mean and median of 100 . \begin{tabular}{|l|l|l|l|l|l|} \hline \multicolumn{5}{|c|}{ Sull data set Sample of Size 5} \\ \hline 106 & 114 & 101 & 119 & 115 & \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{7}{|c|}{ Sample of Size 12 } \\ \hline 106 & 114 & 101 & 119 & 115 & 91 \\ \hline 96 & 117 & 107 & 116 & 115 & 105 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{7}{|c|}{ Sample of Size 30 } \\ \hline 106 & 114 & 101 & 119 & 115 & 91 \\ \hline 96 & 117 & 107 & 116 & 115 & 105 \\ \hline 115 & 110 & 92 & 103 & 117 & 115 \\ \hline 109 & 110 & 96 & 91 & 114 & 93 \\ \hline 116 & 105 & 97 & 104 & 91 & 117 \\ \hline \end{tabular} (Type an integer or decimal rounded to one decimal place as needed.)
What is the mean of the new sample of size 12?12 ? 113.0 (Type an integer or decimal rounded to one decimal place as needed.)
What is the mean of the new sample of size 30?30 ? 108.4 (Type an integer or decimal rounded to one decimal place as needed.)
What is the median of the new sample of size 5?5 ? 115 (Type an integer or decimal rounded to one decimal place as needed.)
What is the median of the new sample of size 12?12 ? \square (Type an integer or decimal rounded to one decimal place as needed.) Stat - Graph - le of Size var4 \square \begin{tabular}{|r|l|l|} \hline iance & Std. dev. & Std. err. \\ \hline 42.8 & 6.5421709 & 2.6708301 \\ \hline \end{tabular}

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Problem 429

Star Wars, created by George Lucas, is one of the most iconic and influential franchises in the history of cinema. Debuting with "Star Wars: Episode IV - A New Hope" in 1977, it captured the imaginations of audiences worldwide with its epic space opera saga. The franchise has since expanded to include multiple trilogies, spin-off films, animated series, novels, comics, and merchandise. With its memorable characters, captivating storytelling, and groundbreaking special effects, Star Wars has left an indelible mark on popular culture, inspiring generations of fans and becoming a beloved cultural phenomenon. "Star Wars" is a series of several movies and just a single movie.
Select one: True False

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Problem 430

Suraj took a slice of pizza from the freezer and put it in the oven. The pizza was heated at a constant rate.
The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it (in minutes). \begin{tabular}{c|c|} \hline Time (minutes) & Temperature (degrees Celsius) \\ \hline 4 & 25 \\ 6 & 40 \\ 8 & 55 \\ \hline \end{tabular}
How long did it take the pizza to reach 100 degrees Celsius? \square minutes

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Problem 431

Based on the CAP theorem, if the response to the user query can be provided within certain time vindow, then consistency can be favored over availability
Select one: \square True False

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Problem 432

The price of a train ticket consists of an initial fee plus a constant fee per stop.
The table compares the number of stops and the price of a ticket (in dollars). \begin{tabular}{cc} Stops & Price (dollars) \\ \hline 3 & 6.50 \\ 7 & 12.50 \\ 11 & 18.50 \end{tabular}
What is the fee per stop? \$

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Problem 433

Financial market activities affect Select one: a. Personal wealth b. Spending decisions by individuals and business firms c. The economy's location in the business cycle d. All of the above

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Problem 434

Differentiate both sides of equation x=x0+v0t+12at2x=x_{0}+v_{0} t+\frac{1}{2} a t^{2}

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Problem 435

x2+3x+2>y x^{2} + 3x + 2 > y two variable
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
Hi there! It looks like you have provided an inequality involving two variables:
x2+3x+2>y x^{2} + 3x + 2 > y
Could you please provide more context or specify what you need help with? Are you looking to solve the inequality for y y in terms of x x , or perhaps you're interested in finding the solution set for both x x and y y ? Any additional information would be really helpful! step 3 graph or plot

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Problem 436

(9) 11P10(x)P6(x)dx\int_{-1}^{1} \mathcal{P}_{10}(x) \mathcal{P}_{6}(x) d x (A) P10(1)-\mathcal{P}_{10}(-1) (B) 0 (C) P6(1)\mathcal{P}_{6}(1) (D) 221\sqrt{\frac{2}{21}}

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Problem 437

(x2)=2xi^\nabla\left(x^{2}\right)=-2 x \hat{i}
Select one: True False

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Problem 438

(14) The generating function for Legendre polynomial is (A) φ(x,t)=e2πt+t2\varphi(x, t)=e^{2 \pi t+t^{2}} (B) φ(x,t)=e2xtt2\varphi(x, t)=e^{2 x t-t^{2}} (C) φ(x,t)=12xt+t2\varphi(x, t)=\sqrt{1-2 x t+t^{2}} (D) φ(x,t)=112xt+t2\varphi(x, t)=\frac{1}{\sqrt{1-2 x t+t^{2}}}

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Problem 439

Which LINE/CURVE does the object: I. Speeds up in - direction Ans: CD
2. Slows down in + direction

Ans: BC
3. Constant speed

Ans: ABA B
4. Slows down in - direction Ans: DE

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Problem 440

(15) The general solution of x2y+x4y=0x^{2} y^{\prime \prime}+x^{4} y=0 is (A) X(c1J16(12X2)+c2J16(12X2))X\left(c_{1} J_{16}\left(\frac{1}{2} X^{2}\right)+c_{2} J_{-16}\left(\frac{1}{2} X^{2}\right)\right) (B) x(c1J16(12X2)+c2J16(12X2))\sqrt{x}\left(c_{1} J_{16}\left(\frac{1}{2} X^{2}\right)+c_{2} J_{-16}\left(\frac{1}{2} X^{2}\right)\right) (C) X(c1J16(12X2)+c2y16(12X2))X\left(c_{1} J_{16}\left(\frac{1}{2} X^{2}\right)+c_{2} y_{16}\left(\frac{1}{2} X^{2}\right)\right) (D) x(c1J16(12X2)+c2y16(12X2))\sqrt{x}\left(c_{1} J_{16}\left(\frac{1}{2} X^{2}\right)+c_{2} y_{16}\left(\frac{1}{2} X^{2}\right)\right)

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Problem 441

Risk Vector is used to determine the risk related to the various failure modes.
Select one: True False Previous page Next page

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Problem 442

4. Which of the following numbers is less than 2142 \frac{1}{4} ? A. 2.30 B. 250%250 \% C. 52\frac{5}{2} D. 2152 \frac{1}{5}

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Problem 443

10. Tessa argues that the absolute value of 24 is greater than the opposite of -18 . Is Tessa correct or not? Justify your thinking. \qquad \qquad \qquad \qquad

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Problem 444

2) The equation of the leminscate' r2=9cos2θr^{2}=9 \cos 2 \theta is equivalent to the rectangular equation : A) (x2+y2)2=9\left(x^{2}+y^{2}\right)^{2}=9 C) (x2+y2)2=9(x2y2)2\left(x^{2}+y^{2}\right)^{2}=9\left(x^{2}-y^{2}\right)^{2} B) (x2+y2)2=9(x2y2)\left(x^{2}+y^{2}\right)^{2}=9\left(x^{2}-y^{2}\right) D) (x2+y2)=9(x2y2)\left(x^{2}+y^{2}\right)=9\left(x^{2}-y^{2}\right)

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Problem 445

(11) The table shows the account balance of the last five students to go through the lunch line in the cafeteria. Which of the following correctly orders the students according to their account balances from least to greatest? \begin{tabular}{|c|c|c|c|c|c|} \hline STUDENT & Jo & TJ & Mat & Bri & Sal \\ \hline BALANCE (\$) & -8 & 2 & 6 & 14 & -5 \\ \hline \end{tabular} A. Jo, Sal, TJ, Mat, Bri B. Sal, Jo, TJ, Mat, Bri C. TJ, Sal, Mat, Jo, Bri D. Bri, Mat, TJ, Jo, Sal

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Problem 446

2) The equation of the leminscate' r2=9cos2θr^{2}=9 \cos 2 \theta is equivalent to the rectangular equation : A) (x2+y2)2=9\left(x^{2}+y^{2}\right)^{2}=9 C) (x2+y2)2=9(x2y2)2\left(x^{2}+y^{2}\right)^{2}=9\left(x^{2}-y^{2}\right)^{2} B) (x2+y2)2=9(x2y2)\left(x^{2}+y^{2}\right)^{2}=9\left(x^{2}-y^{2}\right) D) (x2+y2)=9(x2y2)\left(x^{2}+y^{2}\right)=9\left(x^{2}-y^{2}\right)

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Problem 447

8) Which of the following series is conditionally convergent? A) k=1(1)k1ln(k+1)\sum_{k=1}^{\infty}(-1)^{k} \frac{1}{\ln (k+1)} B) k=1(1)k1k2+1\sum_{k=1}^{\infty}(-1)^{k} \frac{1}{k^{2}+1} C) k=1(1)kk2k+1\sum_{k=1}^{\infty}(-1)^{k} \frac{k}{2 k+1} D) k=1(1)k(2k+1k+1)k\sum_{k=1}^{\infty}(-1)^{k}\left(\frac{2 k+1}{k+1}\right)^{k}

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Problem 448

A) 0 of convergence of the series k=0(x1)kk!\sum_{k=0}^{\infty} \frac{(x-1)^{k}}{k!} is equal to B) 1 10) The Maclaurin C) 12\frac{1}{2} D) \infty

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Problem 449

Recently, a random sample of 25-34 year olds was asked, "How much do you currently have in savings, not including retirement savings?" The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings.
Click the icon to view the frequency distribution for the amount of savings.
The sample mean amount of savings is $\$ \square (Round to the nearest dollar as needed.) Frequency distribution of amount of savings \begin{tabular}{cc} Savings & Frequency \\ \hline$0$199\$ 0-\$ 199 & 348 \\ \hline$200$399\$ 200-\$ 399 & 96 \\ \hline$400$599\$ 400-\$ 599 & 48 \\ \hline$600$799\$ 600-\$ 799 & 23 \\ \hline$800$999\$ 800-\$ 999 & 11 \\ \hline$1000$1199\$ 1000-\$ 1199 & 6 \\ \hline$1200$1399\$ 1200-\$ 1399 & 1 \\ \hline \end{tabular}

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Problem 450

13) (Bessel Function) The domain of Bessel function J3(x)=k=0(1)kx2k+322k+1k!(k+3)!J_{3}(x)=\sum_{k=0}^{\infty}(-1)^{k} \frac{x^{2 k+3}}{2^{2 k+1} k!(k+3)!} is A) (1,1)(-1,1) B) (,)(-\infty, \infty) C) (0,1)(0,1) D) (1,0)(-1,0)

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Problem 451

25. Write the coefficient of x2x^{2} and xx in the polynomial 62x2+3x37x6-2 x^{2}+3 x^{3}-\sqrt{7} x

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Problem 452

ma (Buc) Analytische Geometrie Datum: \qquad
Punkte
1. Notieren Sie die Koordinaten der Punke A - H (Abb. 1).

Beispiel: A(400)A(4|0| 0) \ldots
Abb. 1 Hilfe unter
2. Zeichnen Sie ein 3D-Koordinatensystem auf allen Achsen von -5 bis 5 und tragen Sie Punkte A(4,301),B(214),C(111)A(4,3|0| 1), B(2|1| 4), C(1|1| 1) ein. Verbinden Sie die Strecken AB,BC\overline{A B}, \overline{B C} und CA\overline{C A}.
3. Tragen Sie die Strecken aus Aufgabe 2 in GeoGebra ein.

GeoGebra Website - Öffnen Sie dazu im Browser: geogebra.org/calculator \rightarrow Auswahl 3D Rechner. - Tragen Sie in die Eingabezeile , A=(4.3,0,1\mathrm{A}=(4.3,0,1 )" ein (Wdh. für B, C). - Geben Sie in die Eingabezeile „Strecke(A,B)" ein (Wdh. für BC,CA\overline{B C}, \overline{C A} ).
Komma zur Trennung der Koordinaten, Punkt statt Komma in Dezimalzahl
4. Beschreiben Sie Unterschiede hinsichtlich der Darstellung von Punkten zwischen der Zeichnung und der Anzeige in GeoGebra.

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Problem 453

The Sugar Sweet Company delivers sugar to its customers. Let CC be the total cost to transport the sugar (in dollars). Let SS be the amount of sugar transported (in tons). The company can transport up to 20 tons of sugar. Suppose that C=130S+1500C=130 S+1500 gives CC as a function of SS.
Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values. \begin{tabular}{|c|c|c|} \hline & Description of Values & Set of Values \\ \hline \multirow[t]{2}{*}{ Domain: } & \multirow{2}{*}{\begin{tabular}{l} cost to transport sugar (in dollars) \\ amount of sugar transported (in tons) \end{tabular}} & \begin{tabular}{l} (Choose one) \end{tabular} \\ \hline & & the set of all real numbers from 0 to 20 \\ \hline Range: & \begin{tabular}{l} cost to transport sugar (in dollars) \\ amount of sugar transported (in tons) \end{tabular} & \begin{tabular}{l} the set of all real numbers from 130 to 1500 \\ the set of all real numbers from 1500 to 4100 \end{tabular} \\ \hline & & \begin{tabular}{l} \begin{tabular}{l} {130,260,390,520,}\{130,260,390,520, \ldots\} \\ {0,1,2,3,,1500}\{0,1,2,3, \ldots, 1500\} \end{tabular} \end{tabular} \\ \hline \end{tabular}

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Problem 454

he average daily income of 2000 workers is Php 185.00 with a standard deviation of Php 18.6 uming that the daily income is normally distributed, d the number of workers having salaries between Php 178.50 and Php 195.50. 78.50 0{ }^{\circ} 0 x=195.50x=195.50 5.00 5 18 18.00 1.) x÷178.50x \div 178.50 μ=185.00\mu=185.00 θμ\theta-\mu 2.) x=195.50x=195.50

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Problem 455

7. Based on the following table which indicates expenditure of the household on a commodity, answer the questions that follow (The price of the good is Br .10 ) \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Income \\ (Br. / month) \end{tabular} & \begin{tabular}{c} Quantity Demanded \\ (units / month ) \end{tabular} \\ \hline 10,000 & 50 \\ \hline 20,000 & 60 \\ \hline 30,000 & 70 \\ \hline 40,000 & 80 \\ \hline 50,000 & 90 \\ \hline \end{tabular} A) Calculate income elasticity of demand, if income increases from Br.10,000\mathrm{Br} .10,000 to Br . 20,000 and if income increases from Br.40,000\mathrm{Br} .40,000 to Br.50,000\mathrm{Br} .50,000. B) Is this a normal or an inferior or a luxury good? Justify. C) Does the proportion of household income spent on this good increase or decrease as income increases? .Why?
8. When price of tea in local café rises from Br. 10 to 15 per cup, demand for coffee rises from 3000 cups to 5000 cups a day despite no change in coffee prices. A) Determine cross price elasticity. B) Based on the result, what kind of relation exists between the two goods?

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Problem 456

(c) Sketch the graph of y=ln(12x)y=\ln \left(\frac{1}{2-x}\right). State the doman and the range of this function.

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Problem 457

Homework: 1.2 (2) Rational Equations Homework Question 1, R5.6.CVG-2 HW Score: 0%,00 \%, 0 of 18 points Points: 0 of 1 Question list Question 1 Question 2 Question 3 Question. 4 Question 5 Question 6 Fill in the blank so that the following statement is true. Any proposed solution of a rational equation that causes a denominator to equal \qquad is rejected.
Any proposed solution of a rational equation that causes a denominator to equal \square is rejected. \square the numerator 1 0 xx 1-1 infinity

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Problem 458

3. Funktionswerte berechnen und Punktprobe durchfuhren a) Berechne for dle Funktionen f1,f2f_{1}, f_{2} und f3f_{3} aus Aufgabe 2 dle Funktionswerte f1(5)f_{1}(5), f2(0)f_{2}(0) und f3(4)f_{3}(-4).
Uberprufe deine Rechnung, indem du mit delner Zeichnung vergleichst. b) Uberprüfe rechnerisch, welche der folgenden Punkte auf den Graphen der Funktionen f1f_{1} und f2f_{2} liegen: P(41),Q(69)P(4 \mid 1), Q(-6 \mid 9)
4. Scheltelpunktform anhand der zughörigen Parabel ermittoln Glb jeweils den Scheitelpunkt SS an und ermittle die Scheitelpunktform zu den abgebildeten Parabeln.
5. Scheltelpunktform und Normalform ineInander umformen a) Forme die Funktionsgleichung b) Forme die Funktlonsgleichung f(x)=2(x2,5)25,5f(x)=-2(x-2,5)^{2}-5,5 in dle Normalform um. f(x)=3x230x+73f(x)=3 x^{2}-30 x+73 in die Scheitelpunktform um.
6. Quadratische Funktionsglelchungen aufstellen a) Bestimme die Funktionsgleichung der quadratischen Funktion ff, deren Graph den Scheitelpunkt S(12)S(1 \mid 2) besitzt und durch A(30)A(3 \mid 0) geht. b) Bestimme die Funktionsgleichung der quadratischen Funktion f, deren Graph durch die Punkte A(63),B(09)\mathrm{A}(6 \mid 3), \mathrm{B}(0 \mid-9) und C(13)\mathrm{C}(1 \mid 3) verlảuft.
7. Mit quadratischen Funktionen modellieren a) Ein Ball wird über eine 8 m hohe Mauer geworfen. Seine Flugbahn entspricht dem Graphen zu\mathbf{z u} f(x)=0,4x2+4,8x4,4f(x)=-0,4 x^{2}+4,8 x-4,4. Berechne die maximale Höhe des Balles. Überprufe, ob der Ball die Mauer tatsächlich überfliegt, wenn diese bei x=4x=4 steht. b) Bei einem Idealen Hochsprung beschreibt der Körperschwerpunkt eine Parabel. Ein Sportler springt 0,8 m0,8 \mathrm{~m} vor der Latte ab, sein Körperschwerpunkt liegt dann bei 1,2m. Genau über der Latte erreicht der Körperschwerpunkt selnen höchsten Punkt in 2 m : Höhe. Skizziere die Flugbahn des Körperschwerpunktes. Wähle die Achsen des Koordinatensystems geschickt. Stelle eine Funktionsgleichung far den Verlauf des Körperschwerpunktes auf.

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Problem 459

Find the range of the function f(x)=e2x3f(x)=-e^{2-x}-3. A (,)(-\infty, \infty) B (,3)(-\infty,-3) C (3,)(3, \infty) D (3,)\quad(-3, \infty)

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Problem 460

Question*
Find the domain and range of f(x)=3xf(x)=\sqrt{3-x}. A Df=(3,);Rf=(,0)\quad D_{f}=(3, \infty) ; R_{f}=(-\infty, 0) B Df=(,3);Rf=(0,)\quad D_{f}=(-\infty, 3) ; R_{f}=(0, \infty) C Df=(,3];Rf=[0,)\quad D_{f}=(-\infty, 3] ; R_{f}=[0, \infty) D Df=[3,];Rf=(,0]\quad D_{f}=[3, \infty] ; R_{f}=(-\infty, 0]

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Problem 461

g(h)=h45;g(h)g(h)=\sqrt[5]{h^{4}} ; g^{\prime \prime \prime}(h)

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Problem 462

Question
Given x2+4y=x\sqrt{x^{2}+4 y}=x, find dydx\frac{d y}{d x} in terms of xx and yy.
Answer

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Problem 463

The fuel tank of a certain airplane can hold up to 200 gallons of fuel. Let WW be the total weight of the airplane (in pounds). Let FF be the total amount of fuel in its tank (in gallons). Suppose that W=5F+5000W=5 F+5000 gives WW as a function of FF.
Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values. \begin{tabular}{|l|l|l|} \hline & Description of Values & Set of Values \\ \hline Domain: & \begin{tabular}{l} Oamount of fuel in airplane's tank (in gallons) \\ O weight of airplane (in pounds) \end{tabular} & (Choose one) \\ \hline Range: & \begin{tabular}{l} Oamount of fuel in airplane's tank (in gallons) \\ Oweight of airplane (in pounds) \end{tabular} & (Choose one) \\ \hline \end{tabular}

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Problem 464

21 a) 55103=5,510x55 \cdot 10^{-3}=5,5 \cdot 10^{x} b) 625106=6,2510x625 \cdot 10^{-6}=6,25 \cdot 10^{x} c) 81104=8,110x81 \cdot 10^{-4}=8,1 \cdot 10^{x}

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Problem 465

An employee in the 12%12 \% tax bracket invests $2000.00\$ 2000.00 in a Roth IRA. When the employee retires, her salary is in the 22%22 \% tax bracket. What tax will be assessed on the initial investment when it opens? A. Not enough information to answer B. $240.00\$ 240.00 C. $440.00\$ 440.00 D. Since the employee used a Traditional IRA, she will pay no taxes on her investment when it opens.

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Problem 466

An employee in the 12%12 \% tax bracket invests $3000.00\$ 3000.00 in a Traditional IRA. When the employee retires, her salary is in the 22%22 \% tax bracket. What tax will be assessed on the initial investment when the employee retires? A. $660.00\$ 660.00 B. Since the employee is using a Traditional IRA, she will pay no taxes when she retires. C. $360.00\$ 360.00 D. Not enough information to answer

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Problem 467

F2 Erfinden Sie zu dem abgebildeten Graphen eine Sachsituation, die durch den Graphen dargestellt wird. Gehen Sie dabei auch auf den Verlauf des Graphen ein.

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Problem 468

39. The line y5=97(x+4)y-5=\frac{9}{7}(x+4) is graphed in the coordinate plane. By inspecting the equation, you can see the graph of the line has a slope of \qquad and passes through the point \qquad Using the point and the slope, you can plot a second point \qquad and then graph the line through the two points.

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Problem 469

Determine whether the following relation represents yy as a function of xx. function not a function
If the relation represents a function, find the domain and range. (Enter your answers domain \square range \square

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Problem 470

Aufgabe 2: (M) Näherungsweise Flächenberechnung Die Fläche zwischen dem Funktionsgraphen der Funktion f(x)=x2f(x)=x^{2} und der xx-Achse soll in dem Intervall [0;2][0 ; 2] näherungsweise berechnet werden, In nebenstehender Skizze ist eine Losungsidee zur näherungsweisen Berechnung grafisch dargestellt. 2.1 Berechnen Sie näherungsweise die gesuchte Fläche für n=4n=4 Rechteckstreifen. 2.2 Erläutern Sie, wie sich das Ergebnis Ihrer Berechnung verändert, wenn Sie in dem Intervall [0;2][0 ; 2] die Anzahl der Rechteckstreifen von 4 auf 100 erhöhen.

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Problem 471

Question 2, 11.2.15 HW Score: 2.38%,0.172.38 \%, 0.17 of 7 points Points: 0 of 1 Find all values x=ax=a where the function is discontinuous. For each value of xx, give the limit of the function as xx approaches a. Be sure to note when the limit doesn't exist. f(x)=1+xx(x8)f(x)=\frac{1+x}{x(x-8)} D. The function ff is discontinuous at the two values x=x= \square The limit for the smaller value is \square The limit for the larger value does not exist and is not \infty or -\infty. E. The function f is discontinuous at the two values x=\mathrm{x}= \square The limit for the smaller value does not exist and is not \infty or -\infty. The limit for the larger value is \square F. The function f is discontinuous over the interval \square The limit is \square . (Type your answer in interval notation.) G. The function ff is discontinuous over the interval \square .The limit does not exist and is not \infty or -\infty. (Type your answer in interval notation.) HH. The function ff is continuous for all values of xx.
1. The function ff is discontinuous at the two values x=x= \square . The limits for both values do not exist and are not \infty or -\infty.

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Problem 472

Example: Find the trigonometric Fowrier series representation) of the signal below:

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Problem 473

Consider the following. (a) Evaluate f(4)f(-4) \square 3-3 \checkmark (b) Solve for f(x)=0f(x)=0. \square

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Problem 474

First-class postage is $0.34\$ 0.34 for the first ounce (or any fraction thereof) and $0.25\$ 0.25 for each additional ounce (or fraction thereof). Let C(x)C(x) represent the postage for a letter weighing ×\times oz. Use this information to answer the questions. a) Find limC(x)\lim C(x). Select the correct choice below and fill in any answer boxes in your choice. x3x \rightarrow 3^{-} A. limx3C(x)=$\lim _{x \rightarrow 3^{-}} C(x)=\$ \square (Type an integer or a decimal.) \square B. The limit does not exist.

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Problem 475

Question Watch Video Show Examples
Given the function f(x)=x2x8f(x)=x^{2}-x-8, determine the average rate of change of the function over the interval 1x5-1 \leq x \leq 5
Answer Attempt 1 out of 3 Submit Answer

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Problem 476

EXPERIMENT 19: UNIFORM VELOCITY AlM: To investigate the uniform velocity of a moving trolley. APPARATUS Ticker timer Ticker tape Power source Trolley Trolley track METHOD 1 Altach a long strip of paper tape to the trolley and pass the tape through the ticker fimer. 2 Connect the ticker timer to the power source
3. Raise the one end of the runway sufficiently so that the trolley moves down the runway at constant speed. (This adjustment which compensates for friction is most important for the success of this investigation) 4 Cut off the beginning and end portions of the tape where the motion was not uniform, and keep only the portion of the tape where the dots are evenly spaced.
5. Measure the length of the tape and count the number of spaces Record the results in Table 1.
6. Now mark the tape in lengths of 5 spaces ( 0,10 s0,10 \mathrm{~s} if the frequency of the timer is 50 Hz ) each Measure the displacement (from the first chosen dot) for successive time intervals, ie for t=5t=5 time intervals, displacement = the total length of tape for 26 spaces For each 5 space interval., calculate the average velocity during that interval by dividing the length of the interval spaces), in meters, by 0,10 s0,10 \mathrm{~s} (the time for 5 spaces). Record all results in Table
5. RESULTS 1 Copy Table 1 into your practical book. Record the length of the tape as well as the number of spaces as determined in step 5 of the method. The frequency of the ticker timer depends on the power source used. If connected to 220 VAC , the frequency is 50 Hz \begin{tabular}{|c|c|} \hline \multicolumn{2}{|l|}{ TABLE 1} \\ \hline Length of tape (x)m(x) \mathrm{m} & \\ \hline No. of spaces ( π\pi ) & \\ \hline Frequency of timer (1) & 50 Hz \\ \hline Period of timer (T) & \\ \hline Total time (n×T)(n \times T) & \\ \hline Average velocity (πf)\left(\frac{\pi}{f}\right) & \\ \hline \end{tabular} 2 Copy Table 2 into your practical book and then completa the open cells. \begin{tabular}{|c|c|c|c|c|} \hline \multicolumn{5}{|l|}{1 TABLE 2} \\ \hline \begin{tabular}{l} Time I (s) \end{tabular} & \begin{tabular}{l} \begin{tabular}{c} 2 \\ Δt(s)\Delta t(s) \end{tabular} \end{tabular} & \begin{tabular}{l} Displacement -x \\ (m) \end{tabular} & \begin{tabular}{l} Δx(m)\Delta x(m) \end{tabular} & \begin{tabular}{l} v=Δx5Δt(ms)v=\frac{\Delta x^{5}}{\Delta t}\left(m s^{\prime}\right) \end{tabular} \\ \hline & \%: : 2 & 2=2= & & \\ \hline & & & & \\ \hline & & & & \\ \hline & & a & & \\ \hline & & & & \\ \hline & & & & \\ \hline & & & & \\ \hline \end{tabular}

CONCLUSION AND QUESTIONS 1 What is the main reason for failure when performing this experiment? How can you thy to compensate for that? \qquad \qquad
2. What is the meaning of the phrase frequency of the timen \qquad 3 What is the meaning of the period of the timen? \qquad 4 Is it necessary to use the whole length of the tape for your calculations? Explain \qquad
5. Show by a calculation that the time for one interval is 0,1 s \qquad
6. Plot a graph of displacement vs. time on a graph paper. What is the shape of the graph? \qquad

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Problem 477

The Venn diagram shows information about the pets owned by 40 students.\text{The Venn diagram shows information about the pets owned by 40 students.} ξ=40 students\xi = 40 \text{ students} C=students who own a catC = \text{students who own a cat} D=students who own a dogD = \text{students who own a dog} A student is chosen at random.\text{A student is chosen at random.} They own a cat.\text{They own a cat.} Work out the probability that they own a dog.\text{Work out the probability that they own a dog.} The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.} Dialogue Transcript:\text{Dialogue Transcript:} It looks like we are missing some important details from the Venn diagram, such as the number of students who own only cats, only dogs, both, or neither. In order to solve the problem and determine the probability that a student who owns a cat also owns a dog, we need these specific counts.\text{It looks like we are missing some important details from the Venn diagram, such as the number of students who own only cats, only dogs, both, or neither. In order to solve the problem and determine the probability that a student who owns a cat also owns a dog, we need these specific counts.} Could you provide the number of students who fall into the following categories?\text{Could you provide the number of students who fall into the following categories?} 1.Students who own only a cat.1. \text{Students who own only a cat.} 2.Students who own only a dog.2. \text{Students who own only a dog.} 3.Students who own both a cat and a dog.3. \text{Students who own both a cat and a dog.} 4.Students who own neither.4. \text{Students who own neither.} With this information, I’ll be able to help you find the probability!\text{With this information, I'll be able to help you find the probability!} 1.x(x+3)1. x(x+3) 2.4x2. 4x 3.73. 7 4.3x64. 3x-6

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Problem 478

(38) Draw the graph of y=2sin1xπyπy=2 \sin ^{-1} x \quad-\pi \leq y \leq \pi

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Problem 479

Which of the following descriffes a homonym? A word that sounds the same as another word but the meaning and spelling are similar. A word that is spelled similarly to another word and has a similar meaning. A word that is spelled differently and has a different meaning from a word used in the sentence. A word that sounds the same as another word but the meaning and spelling of these words are different.

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Problem 480

Gegeben sind die gebrochenrationalen Funktionen f,gf, g und hh. f(x)=7x+9,g(x)=65x4 und h(x)=27x18f(x)=\frac{7}{x+9}, g(x)=\frac{6}{5 x-4} \text { und } h(x)=\frac{2}{-7 x-1}-8
Bestimme jeweils die Definitionslücken und gib die maximale Definitionsmenge in der Grundmenge R\mathbb{R} an.
A - Definitionslücke bestimmen Gib die Definitionslücken an. Schreibe dabei nicht ganzzahlige Definitionslücken als Bruch. f(x)=7x+9x=g(x)=65x4x=h(x)=27x18x=\begin{array}{cr} f(x)=\frac{7}{x+9} & x=\square \\ g(x)=\frac{6}{5 x-4} & x=\square \\ h(x)=\frac{2}{-7 x-1}-8 & x=\square \end{array}

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Problem 481

5. A weightlifter is adding plates of equal weight to a bar. The table below shows the total weight, including the bar, that he will lift depending on the total number of plates on the bar. \begin{tabular}{|c|c|} \hline Number of Plates & \begin{tabular}{c} Total Weight in \\ Pounds \end{tabular} \\ \hline 2 & 115 \\ \hline 4 & 185 \\ \hline 6 & 255 \\ \hline 8 & 325 \\ \hline \end{tabular}
Based on this information, which statement is true? A. The bar weighs 35 pounds without any plates. B. The bar weighs 70 pounds without any plates. C. The bar weighs 45 pounds without any plates. D. The bar weighs 25 pounds without any plates.

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Problem 482

Use the slope-intercept form to graph the equation 3x+y=53 x+y=5
Use the graphing tool to graph the line. Use the slope and yy-intercept when drawing the line.
Click to enlarge graph

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Problem 483

For the given function value, write a corresponding ordered pair. g(0)=67g(0)=-\frac{6}{7}
What is the corresponding ordered pair? \square (Type an ordered pair.)

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Problem 484

C -- www-awy.aleks.com/alekscgi/x/lsl.exe/1o_u-lgNsIkr7j8P3jH-liJOkWvnm4w-aQ-rw-zRhgRnayfmb Atoms, Ions and Molecules Finding isoelectronic atoms
Write the chemical symbols for three different atoms or atomic anions with 10 electrons.

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Problem 485

For the following exercises, use a graphing utility to determine whether each function is one-to-one.
19. f(x)=xf(x)=\sqrt{x}
20. f(x)=3x+13f(x)=\sqrt[3]{3 x+1}
21. f(x)=5x+1f(x)=-5 x+1
22. f(x)=x327f(x)=x^{3}-27

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Problem 486

Part 3 of 5 Score: 75.56%,6.875.56 \%, 6.8 of 9 points Points: 0.8 of 1 Save Suppose that the total profit in hundreds of dollars from selling xx items is given by P(x)=4x25x+6P(x)=4 x^{2}-5 x+6. Complete parts a through d below. a. Find the average rate of change of profit as ×\times changes from 2 to 4 . $1900\$ 1900 per item b. Find the average rate of change of profit as xx changes from 2 to 3 . $1500\$ 1500 per item c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x=2x=2. (This number is called the marginal profit at x=2x=2.) $\$ per item

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Problem 487

Fomts: 0.8 of 1 Suppose that the total profit in hundreds of dollars from selling xx items is given by P(x)=4x25x+6P(x)=4 x^{2}-5 x+6. Complete parts a through dd below. b. Find the average rate of change of profit as xx changes from 2 to 3 . $1500\$ 1500 per item c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x=2x=2. (This number is called the marginal profit at x=2x=2.) $1100\$ 1100 per item What does this result mean? Choose the correct answer below. A. When items are sold for $\$ \square the profit is decreasing at the rate of $2\$ 2 per item. B. When 2 items are sold, the profit is decreasing at the rate of $\$ \square per item. C. When 2 items are sold, the profit is increasing at the rate of $1100\$ 1100 per item.
10. When items are sold for $\$ \qquad , the profit is increasing at the rate of $2\$ 2 per item. d. Find the marginal profit at x=4x=4. \qquad $\$ per item Clear all

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Problem 488

Use the group number to determine the charge on an ion derived from each element.
Part 1 of 4
Cesium: (Choose one) \square
Part 2 of 4
Strontium: (Choose one) \square
Part 3 of 4
Nitrogen: \square (Choose one)

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Problem 489

Fourteen different second-year medical students at a hospital measured the blood pressure of the same person. The systolic readings (mm Hg) are listed below. Use the given da construct a boxplot and identify the 5 -number summary. 134 149 135 125 120 125 146 130 132 140 137 140 125 150
The 5 -number summary is \square \square \square \square , and \square , all in mm Hg . (Use ascending order. Type integers or decimals. Do not round.) Which boxplot below represents the data? A. B. \square D. C. Submit 9

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Problem 490

Of people who died in the United States in a recent year, 86%86 \% were white, 12%12 \% were black, and 2%2 \% were Asian. (We will ignore the small number of deaths among other races.) Diabetes caused 2.8%2.8 \% of deaths among whites, 4.4%4.4 \% among blacks, and 3.5%3.5 \% among Asians. The probability that a randomly chosen death was due to diabetes is about (a) 0.96 . (b) 0.107 . (c) 0.042 . (d) 0.038 (e) 0.030

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Problem 491

For what values of aa is the following function continuous at every xx ? f(x)={a2x3a,x318,x<3f(x)=\left\{\begin{array}{ll} a^{2} x-3 a, & x \geq 3 \\ 18, & x<3 \end{array}\right.

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Problem 492

Data was collected for 300 fish from the North Atlantic. The length of the fish ( in cm ) is summarized in the histogram below.
What is the upper class limit for the third class? upper class limit = \square Question Help: Message instructor Submit Question

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Problem 493

Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for both dice) is 6 . \begin{tabular}{|c|c|c|c|c|c|c|} \hline & \multicolumn{6}{|c|}{ Die 2 } \\ \hline Die 1 & 1\mathbf{1} & 2\mathbf{2} & 3 & 4\mathbf{4} & 5\mathbf{5} & 6\mathbf{6} \\ \hline 1\mathbf{1} & (1,1)(1,1) & (1,2)(1,2) & (1,3)(1,3) & (1,4)(1,4) & (1,5)(1,5) & (1,6)(1,6) \\ \hline 2\mathbf{2} & (2,1)(2,1) & (2,2)(2,2) & (2,3)(2,3) & (2,4)(2,4) & (2,5)(2,5) & (2,6)(2,6) \\ \hline 3 & (3,1)(3,1) & (3,2)(3,2) & (3,3)(3,3) & (3,4)(3,4) & (3,5)(3,5) & (3,6)(3,6) \\ \hline 4 & (4,1)(4,1) & (4,2)(4,2) & (4,3)(4,3) & (4,4)(4,4) & (4,5)(4,5) & (4,6)(4,6) \\ \hline 5 & (5,1)(5,1) & (5,2)(5,2) & (5,3)(5,3) & (5,4)(5,4) & (5,5)(5,5) & (5,6)(5,6) \\ \hline 6 & (6,1)(6,1) & (6,2)(6,2) & (6,3)(6,3) & (6,4)(6,4) & (6,5)(6,5) & (6,6)(6,6) \\ \hline \end{tabular}
One can roll a sum of 6 in \square way(s)

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Problem 495

Find the domain of this function:
F(t)=7t+4t2 F(t) = 7t + 4t^2

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Problem 496

Determine the domain of the function F(t)=7t+4t2 F(t) = 7t + 4t^2 .

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Problem 497

Four research teams measured the rotation period of a newly detected neutron star, and what each team wrote in its team notebook is shown in the table below.
Suppose a later and more reliable measurement gives 0.380 s for the period of the same star. Decide which of the earlier measurements was the most accurate, and which was the most precise. \begin{tabular}{|c|c|c|c|} \hline team & \begin{tabular}{c} what was written \\ in the notebook \end{tabular} & \begin{tabular}{c} most accurate \\ measurement \end{tabular} & \begin{tabular}{c} most precise \\ measurement \end{tabular} \\ \hlineAA & "between 0.405 s and 0.455 s"0.455 \mathrm{~s} " & \bigcirc & \bigcirc \\ \hlineBB & "0.280 s±2.0%"" 0.280 \mathrm{~s} \pm 2.0 \% " & \bigcirc & \bigcirc \\ \hlineCC & "0.48 s±0.05 s"" 0.48 \mathrm{~s} \pm 0.05 \mathrm{~s} " & \bigcirc & \bigcirc \\ \hlineDD & "0.390 s"" 0.390 \mathrm{~s} " & \bigcirc & \bigcirc \\ \hline \end{tabular}

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Problem 498

Most scientists agree that the moon was likely formed after a collision between Earth and a large planet named Theia. This collision likely created a huge debris field, made up of material from both Earth and Theia. Based on models of this event. scientists believe that the moon was formed from this debris over the course of thousands of years.
Text 2 Reseanchers from NASA's Ames Research Center used a computer to model how the moon could have formed. Although simulations of the moon's formation have been done in the past, the team from NASA ran simulations that were much more detailed. They found that the formation of the moon was likely not a slow process that took many years. Instead, it's probable that the moon's formation happened immediately after impact. taking just a few hours.
Which choice best describes a difference in how the author of Text 1 and the author of Text 2 view the vidence for the formation of the moon?
Groose tanswer (9) The zuthor of Text 1 believes that the moon formed more slowly than the author of Text 2 believes: (1) The author of Text 1 suggests there is more evidence confirming the existence of Theia then the author of Text2 suggests. (1) The author of Text 1 claims that the moons surface ss more similar to Earth's surface than the author of Text 2 claims. (18) The author of Text 1 argues that the formation of the moon occumed much eadier than the author of Text 2 angues:

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Problem 499

Question 2
The Cell Cycle consists of the following phases: (A) G1 (B) S phase (C) G2 (D) MM phase (E) All of the above

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Problem 500

In the following Venn diagram, UU is the set of students in a class, AA is the set of students who have brown hair, and BB is the set of students who have blue ey Determine how many students have brown hair or blue eyes.
Answer How to enter your answer (opens in new window) \square

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