Analyze

Problem 2501

College tuition: The mean annual tuition and fees for a sample of 13 private colleges in California was $33,000\$ 33,000 with a standard deviation of $7300\$ 7300. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you condude that the mean tuition and fees for private institutions in California is less than $35,000\$ 35,000 ? Use the α=0.01\alpha=0.01 tevel of significance and the PP-value method with the π\pi - 84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0=μ=35,000H1=μ<35,000\begin{array}{l} H_{0}=\mu=35,000 \\ H_{1}=\mu<35,000 \end{array}
This hypothesis test is a left-tailed \quad test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=0.99t=-0.99
Part: 2/52 / 5
Part 3 of 5 (c) Compute the PP-value. Round the PP-value to at least four decimal places. PP-vatue == \square

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Problem 2502

A function f(x)f(x) is defined by f(x)={x21x1,x<1a27,x=11xx1+b,x>1f(x)=\left\{\begin{array}{ll} \frac{x^{2}-1}{x-1} & , x<1 \\ a^{2}-7 & , x=1 \\ \frac{|1-x|}{x-1}+b & , x>1 \end{array}\right.
Determine the values of the constants aa and bb if f(x)f(x) is continous at x=1x=1.

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Problem 2503

(c) In water treatment plant, calcium sulphate, CaSO4\mathrm{CaSO}_{4} is often formed as a precipitate which can clog pipes and reduce the efficiency of the system. The solubility product constant for calcium sulphate, CaSO4\mathrm{CaSO}_{4} is 2.4×1052.4 \times 10^{-5} at room temperature. The plant has a solution containing 0.01 M of calcium ions, Ca2+\mathrm{Ca}^{2+}. If the concentration of sulphate ion, SO42\mathrm{SO}_{4}{ }^{2-} in the water is initially 1.5×103M1.5 \times 10^{-3} \mathrm{M}, will a precipitate of calcium sulphate form? [3 marks]

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Problem 2504

Keep cool: Following are prices, in dollars, of a random sample of ten 7.5-cubic-foot refrigerators. A consumer organization reports that the mean price of 7.5 -cubic-foot refrigerators is less than $370\$ 370. Do the data provide convincing evidence of this claim? Use the α=0.01\alpha=0.01 level of significance and the PP-method with the (3) Critical Values for the Student's tt Distribution Table. \begin{tabular}{lllll} \hline 350 & 414 & 360 & 313 & 353 \\ 318 & 369 & 383 & 329 & 339 \\ \hline \end{tabular} Send data to Excel
Part: 0/60 / 6 \square
Part 1 of 6
Following is a dotplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The dotplot shows that there (Choose one) \mathbf{\nabla} outliers. The dotplot shows that there (Choose one) \boldsymbol{\nabla} evidence of strong skewness. We (Choose one) \boldsymbol{\nabla} assume that the population is approximately normal. It (Choose one) \boldsymbol{\nabla} reasonable to assume that the conditions are satisfied.

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Problem 2505

L{et+3}=\mathscr{L}\left\{e^{t+3}\right\}=
Select one: 1s3\frac{1}{s-3} e3s1\frac{e^{3}}{s-1} 1s+2\frac{1}{s+2} e3su(t+3)e^{3 s} u(t+3)

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Problem 2506

Problem (9) A piece of wire of length 60 cm is divided into two portions, each one being bent to form a rectangle, its length is twice its breadth, if the length of one of the two portions is xx, find the dimensions of these rectangles when the sum of the two areas is minimum.
Answer

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Problem 2507

LABORATORY MIDTERM QUESTIONS (17-20) 17) What mass of a material with density ρ\rho is required to make a hollow cylinder having an in radius RR and height hh ? A) πh(R2r2)\pi h\left(R^{2}-r^{2}\right) B) πhρ(R2r2)\pi h \rho\left(R^{2}-r^{2}\right) C) π/hρ(Rr)\pi / h \rho(R-r) D) πh(R2r2)\pi h\left(R^{2}-r^{2}\right) E) πhρ(Rr)2\pi h \rho(R-r)^{2}

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Problem 2508

XRRCICE4\triangle X R R C I C E 4 A Dans chacun des cas suivants, étudier la dérivabilited a gauche et la derivabilite id droite en x0x_{0}. 1) f(x)=22x;x0=1f(x)=|2-2 x| ; x_{0}=1, 2) f(x)={x25 si x>24x9 si x - y2;x0=2f(x)=\left\{\begin{array}{l}x^{2}-5 \text { si } x>-2 \\ -4 x-9 \text { si } x \text { - } y^{2}\end{array} ; x_{0}=-2\right. B/\mathrm{B} / Soit ff la fonction définie sur R\mathbb{R} par f(x)=2x2x+1f(x)=2 x^{2}-|x|+1. Etudier la dérivabilité de ff en 0 , puis donner une interprutution graphique du résultat obtenu.

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Problem 2509

Question A company sells widgets. The amount of profit, yy, made by the company, is related to the selling price of each widget, xx, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=2x2+123x802y=-2 x^{2}+123 x-802
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 2510

السؤال 3 ?Which of the following formulas represents the sum of squares 12+22++n2(MCQ).41 \wedge 2+2 \wedge 2+\ldots+n^{\wedge} 2(M C Q) .4

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Problem 2511

```latex \text{Pour chacun des montages suivants, déterminer l'état de la diode supposée idéale, et calculer la valeur du courant qui la traverse.}
\begin{circuitikz} \draw (0,0) to[short, o-o] (2,0) (1,0) to[diode, o-o] (1,2) (1,2) to[R, l=2\,\Omega] (1,4) (1,4) to[short, o-o] (3,4) (3,4) to[diode, o-o] (3,2) (3,2) to[R, l=1\,\Omega] (3,0) (3,0) to[short, o-o] (5,0) (5,0) to[battery, l=5\,V] (5,4) (5,4) to[short, o-o] (3,4) (3,2) to[battery, l=4\,V] (1,2) ; \end{circuitikz}
\text{(D)} ```

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Problem 2512

When using the order of operations to simplify 6(3)5+(43)6-(-3)^{*} 5+(-4 * 3), which operation should be performed first? 6(3)6-(3) (43)\left(-4^{*} 3\right) (parentheses) 5+(4)5+(-4) 35-3 * 5 \square Next 10/10 complete

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Problem 2513

y=5xy=5^{x} A) B) C)

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Problem 2514

Match the question with the most llkely source of blas.
1. List the steps in making a peanut butter and jelly sandwich. \square missing options
2. Who is your favorite professional athlete? \square no experlence with the process

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Problem 2515

Match each study to what is most llkely to be a concern.
1. a voter preference poll \square selecting a sample that represents
2. testing a new cancer drug the population well \square ethical issues

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Problem 2516

Translate the argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form.
You drew a three, or you have two pairs. Today you do not have two pairs. \therefore Today you drew a three. (i) Click the icon to view tables of standard valid and invalid forms of arguments.
Let p represent "Today you drew a three.," and let q represent "Today you have two pairs." Select the correct choice below and fill in the answer box with the symbolic form of the argument. (Type the terms of your expression in the same order as they appear in the original expression.) A. The argument is valid. In symbolic form the argument is \square B. The argument is invalid. In symbolic form the argument is \square

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Problem 2517

ELe 121r,1\frac{1}{2} \frac{1}{r}, 1 1- ما أكبر عدد يمكن الحصول عليه؟ - كيف نحصل على العدد (0)

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Problem 2518

Which figure has 12\frac{1}{2} of its area shaded? Choose 1 answer: (A) \square (B) (c)

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Problem 2519

Answer the following questions. (a) Which function has the graph with the greatest slope?
Function 1 Function 2 Function 3 Function 4 (b) Which functions have graphs with yy-intercepts greater than 3 ? (check all that apply.) Function 1 \qquad Function 2 \square Function 3 \square Function 4 \qquad (c) Which function has the graph with a yy-intercept closest to 0 ? Function 1 Function 2 Function 3 Function 4

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Problem 2520

What kind of sampling technique is used when a customer service representative asks if you would like to take a brief survey after the call? Explain your answer.

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Problem 2521

What does the numerator of the fraction 43\frac{4}{3} mean? Choose 1 answer: (A) There is 4 parts per whole. (B) There are 3 parts per whole. (C) We are counting 3 parts. (D) We are counting 4 parts.

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Problem 2522

What does the denominator of the fraction 78\frac{7}{8} mean? Choose 1 answer: (A) There are 7 parts per whole. (B) We are counting 7 parts. (c) We are counting 8 parts. (D) There are 8 parts per whole.

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Problem 2523

Members of a population of 2,000 are each assigned a number from 0001 to 2000. Use the table of random digits to select a sample of size 4, starting at line 3.
Table of Random Diglts \begin{tabular}{|l|lclccccc|} \hline Line 1 & 34492 & 21130 & 97453 & 82147 & 21493 & 11307 & 58395 \\ \hline Line 2 & 08632 & 27890 & 92342 & 82240 & 90329 & 09804 & 21991 \\ \hline Line 3 & 10726 & 40462 & 57140 & 83205 & 48230 & 52367 & 16311 \\ \hline Line 4 & 56488 & 37239 & 13527 & 66103 & 70131 & 12788 & 62207 \\ \hline Line 5 & 29511 & 19612 & 20264 & 99971 & 09974 & 50524 & 49667 \\ \hline \end{tabular}

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Problem 2524

7.36 Trading skills of institutional investors. Managers of stock portfolios make decisions as to what stocks to buy and sell in a given quarter. The trading skills of these institutional investors were quantified and analyzed in The Journal of Finance (April 2011). The study focused on "round-trip" trades, i.e., trades in which the same stock was both bought and sold in the same quarter. Consider a random sample of 200 round-trip trades made by institutional investors. Suppose the sample mean rate of return is 2.95%2.95 \% and the sample standard deviation is 8.82%8.82 \%. If the true mean rate of return of round-trip trades is positive, then the population of institutional investors is considered to have performed successfully. a. Specify the null and alternative hypotheses for determining whether the population of institutional investors performed successfully. b. Find the rejection region for the test using α=.05\alpha=.05. c. Interpret the value of α\alpha in the words of the problem. d. A Minitab printout of the analysis is shown below. Locate the test statistic and pp-value on the printout. [Note: For large samples, ztz \approx t.] e. Give the appropriate conclusion in the words of the problem.

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Problem 2525

Follow the seven step strategy to graph the following rational function. f(x)=xx+5f(x)=\frac{-x}{x+5}
To graph the function, first determine the symmetry of the graph of f . Choose the correct answer below. y -axis symmetry origin symmetry neither yy-axis symmetry nor origin symmetry What is 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 . (Type an integer or a simplified fraction.) B. There is no yy-intercept.

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Problem 2526

Follow the seven step strategy to graph the following rational function. f(x)=xx+5f(x)=\frac{-x}{x+5} y -axis symmetry origin symmetry neither yy-axis symmetry nor origin symmetry What is 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 0 . (Type an integer or a simplified fraction.) B. There is no yy-intercept.
What is/are the x -intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The xx-intercept(s) is/are \square . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no x-intercepts.

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Problem 2527

48+5a=1848+-5 a=18

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Problem 2528

BMicrosoff Teams
Nereo wants to solve 49+26249+262. So he adds 50+262+150+262+1 to solve in his head. Is Nereo's nesult equal to 49+26249+262 ? Chosece 1 anower (c) Yes. 49+262=50+262+149+262=50+262+1. (C) Na,49+262>50+262+1\mathrm{Na}, 49+262>50+262+1. (C) No,49+262<50+262+1\mathrm{No}, 49+262<50+262+1.

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Problem 2529

10pts...DETERMINE SLOPE &x/y\& x / y INTERCEPTS (Show Work...Check as Needed) y=mx+by=m x+b 4) f(x)=6x+24f(x)=6 x+24 5) 3x4y=123 x-4 y=-12 y=34x+by=\frac{3}{4} x+b

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Problem 2530

9. A Kenyan businessman owes US $100,000\$ 100,000 to a company in the United States of America. The Kenyan can either pay through his account in Kenya or through his account in the United Kingdom. Which method is cheaper and by how much? (Give your answer in Kenyan shillings given that:1 US doilar = 28.74 Kenyan shillings. 1 Sterling pound =1.79 US dollar 1 Sterling pound =50.80=50.80 Kenyan shillings

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Problem 2531

anner would like to buy a gymnastics mat with an original price of $725.80\$ 725.80. Which coupon should he use? one purchase of $675\$ 675 or more

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Problem 2532

16. (a) Express 10500 in term of its prime factors

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Problem 2533

Sixth grade S.15 Compare rates: word problems NAF Video
Rob loves to snowboard in the winter, so he is looking at the cost of ski lift tickets for different mountains. Peak Point is selling 5-day packs for $275.60\$ 275.60. Grand Mountain is selling 3 -day packs for $174.75\$ 174.75. Which mountain offers the better deal?
Peak Point Grand Mountain
Submit

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Problem 2534

10. On a joumey a bus takes 35 minutes to travel the first 10 kilometres. It then travels a further 20 kilometres in the next 40 minutes. (a) The bus started the journey at 1850 .
At what time did it complete the journey? * 35+400=75=1hr15 min35+\overline{40_{0}}=75=1 \mathrm{hr} 15 \mathrm{~min} * 18 : 50 +1:1514:65\frac{+1: 15}{14: 65}
Answer (a). \qquad (b) Calculate the average speed of the whole joumey in (i) kilometres/minute, S=PT=3075=615=25×2×4110=0.4 Answer (b) (i)..... 0.4\begin{array}{l} S=\frac{P}{T}=\frac{30}{75}=\frac{6}{15}=\frac{2}{5 \times 2} \times \frac{4}{\frac{1}{10}}=0.4 \\ \text { Answer (b) (i)..... } 0.4 \end{array} (ii) kilometreshour. 301.25=301÷125100=630+1004\begin{array}{l} \frac{30}{1.25}=\frac{30}{1} \div \frac{125}{100}= \\ 630+1004 \end{array}

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Problem 2536

Use the Fixed-Point iteration method to approximate the root of the function: y=0.4sin(x)0.25x+3y=0.4 \sin (x)-0.25 x+3, assume that: x0=9x_{0}=9, applying 3 iterations gives the following approximated value of the root x3x_{3} : a. 10.553 b. 12.1486 c. 13.1412 d. 11.351

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Problem 2537

Dillon and Samantha work at two different grocery stores. Dillon made $41.50\$ 41.50 for working 5 hours and Samantha made $50.40\$ 50.40 for 6 hours. Who makes more money per hour?
Dillon Samantha Submit

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Problem 2538

6. Select the measures that best represent the data provided in the stem-and-leaf plot. \square mean median 97.5 \square 100 \square range IQR 101 14

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Problem 2539

A dartboard has 8 equally sized slices numbered from 1 to 8 . Some are grey and some are white. The slices numbered 5, 6, and 7 are grey The slices numbered 1,2,3,41,2,3,4, and 8 are white. A dart is tossed and lands on a slice at random. Let XX be the event that the dart lands on a grey slice, and let P(X)P(X) be the probatilly of XX_{\text {. }}
Let not XX be the event that the dart lands on a slice that is not grey, and let P(P( not X)X) be the probability of nat XX. (a) For each event in the table, check the outcomef(y) that are contained in the event. Then, in the last column, enter \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multirow{2}{*}{Event} & \multicolumn{8}{|c|}{Duticames} & \multirow{2}{*}{Probability} \\ \hline & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & \\ \hline X & 5 & & \square & 4 & 5 & 57. & (4) & 4 & P(x)=P(x)=\square \\ \hline not XX & \square & 4 & 4 & D & (1) & (4) & 0 & (4) & P(notX)=P(\operatorname{not} X)=\square \\ \hline \end{tabular} (b) Subtract. 1P(X)=1-P(X)= \square (c) Select the answer that makes the sentence true. 1P(X)1-P(X) is the same as (Choose one) \square

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Problem 2540

15+3c<915+3 c<9

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Problem 2541

What is the rule for a 30-60-90 triangle? x,2x,x3x, 2 x, x \sqrt{3} x,x,x2x, x, x \sqrt{2}

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Problem 2542

Which is the better buy?
2-pack of light bulbs for $2.76\$ 2.76
7-pack of light bulbs for $9.24\$ 9.24 Submit

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Problem 2543

2 weet Level 5
Unit test
Quillaq and Yamila are trying to add 178+193178+193. Quillaq adds 180+105180+105. Yamila adds 171+200171+200. Whose result is equal to 178+193?178+193 ? Choose 1 answer (4) Only quilaqs result (c) Ony vanilas resut

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Problem 2544

The nth n^{\text {th }} term of a sequence is given by 7n7 n Complete the table with the first three terms of the sequence.
Position, n 1 2 3 ... Term, 7n \square \square \square ...

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Problem 2545

Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10 minutes. On her way home, she took a different route through a park, and rode 3 miles in 15 minutes. On which route did Debbie ride at a faster pace? going to school going home
Submit
Work it out Not feeling ready yet? These can help:

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Problem 2546

During vacation, Dave and his brother, Scott, rode their bikes from their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived 'at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trail and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trail?
Dave Scott Submit Next up Done for now? Try these next:

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Problem 2547

copy and complete the table delow by substituting values for xx into the expressions 8+x8+x and 2x2 x.
Use your table to work out the largest who number xx could be so that 8+x8+x is larger than 2x2 x. \begin{tabular}{|c|c|c|} \hlinexx & 8+x8+x & 2x2 x \\ \hline 0 & 8 & 0 \\ \hline 1 & 9 & 2 \\ \hline 2 & 10 & 4 \\ \hline 3 & 11 & 6 \\ \hline 4 & & \\ \hline 5 & & \\ \hline 6 & & \\ \hline 7 & & \\ \hline 8 & & \\ \hline 9 & & \\ \hline \end{tabular}

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Problem 2548

Which is the better buy?
3-pound bag of gravel for $5.81\$ 5.81
8-pound bag of gravel for $15.18\$ 15.18
Submit Next up Done for now? Try thes
Unit prices with customary unit conversions

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Problem 2549

The test statistic of z=2.08z=2.08 is obtained when testing the claim that p0.621p \neq 0.621. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.05\alpha=0.05, should we reject H0H_{0} or should we fail to reject H0H_{0} ?
Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a \square two-tailed test. b. PP-value == \square 0.038 (Round to three decimal places as needed.) c. Choose the correct conclusion below. A. Fail to reject H0H_{0}. There is not sufficient evidence to support the claim that p0.621p \neq 0.621. B. Fail to reject H0H_{0}. There is sufficient evidence to support the claim that p0.621p \neq 0.621. C. Reject H0H_{0}. There is sufficient evidence to support the claim that p0.621p \neq 0.621. D. Reject H0\mathrm{H}_{0}. There is not sufficient evidence to support the claim that p0.621\mathrm{p} \neq 0.621.

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Problem 2550

Use the frequency distribution to complete parts (a) through (e). a) Determine the total number of observations. b) Determine the width of each class. c) Determine the midpoint of the second class. d) Determine the modal class (or classes). e) Determine the class limits of the next class if an additional class were to be added. \begin{tabular}{cc} Class & Frequency \\ 6106-10 & 7 \\ 111511-15 & 3 \\ 162016-20 & 0 \\ 212521-25 & 9 \\ 263026-30 & 4 \\ 313531-35 & 3 \end{tabular} a) The total number of observations is \square b) The width of each class is \square \square. c) The midpoint of the second class is \square . (Type an integer or a decimal.) d) The modal class(es) is/are \square . (Use a hyphen to separate the limits of a class. Use a comma to separate answers. Type the classes in order from smallest to largest.) e) The class limits of the next class if an additional class were to be added are \square (Use a hyphen to separate the limits of a class.)

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Problem 2551

Which is the better buy?
2-pound bag of potting soil for $0.77\$ 0.77
6-pound bag of potting soil for $2.20\$ 2.20 Submit

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Problem 2552

Which of the following conditions are necessary to conclude that the series n=1an\sum_{n=1}^{\infty} a_{n} converges using the alternating series test? I. The terms ana_{n} alternate in sign for all nNn \geq N for some positive integer NN. II. limnan=0\lim _{n \rightarrow \infty} a_{n}=0 III. an+1an\left|a_{n+1}\right| \leq\left|a_{n}\right| for all nNn \geq N for some positive integer NN. (A) Ionly (B) I and II only
C II and III only (D) I, II, and III

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Problem 2553

For the following function, find the xx-intercept(s), the yy-intercept, the vertical asymptote(s), and the horizontal asymptote. f(x)=x2+x2x24f(x)=\frac{x^{2}+x-2}{x^{2}-4} (Enter ordered pairs for intercepts, and equations for asymptotes, or type "NONE" if appropriate.) a. xx-intercept(s): \square b. yy-intercept: \square c. Vertical Asymptote(s): \square d. Horizontal Asymptote: \square

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Problem 2554

On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system. y14x+3yx+5\begin{array}{l} y \leq \frac{1}{4} x+3 \\ y \geq-x+5 \end{array} A. Region B B. Region A C. Region C D. Region D

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Problem 2555

Which of the following series converges conditionally? (A) 132+(32)2(32)3++(32)n1+1-\frac{3}{2}+\left(\frac{3}{2}\right)^{2}-\left(\frac{3}{2}\right)^{3}+\cdots+\left(-\frac{3}{2}\right)^{n-1}+\cdots (B) 121!+222!233!++(2)1(n1)!+1-\frac{2}{1!}+\frac{2^{2}}{2!}-\frac{2^{3}}{3!}+\cdots+\frac{(-2)^{-1}}{(n-1)!}+\cdots (C) 112+1314++(1)13+1-\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}-\frac{1}{\sqrt{4}}+\cdots+\frac{(-1)^{-1}}{\sqrt{3}}+\cdots (D) 115+(15)2(15)3++(15)n1+1-\frac{1}{5}+\left(\frac{1}{5}\right)^{2}-\left(\frac{1}{5}\right)^{3}+\cdots+\left(-\frac{1}{5}\right)^{n-1}+\cdots

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Problem 2556

Rational Functions
Fof the following function, find the xx-intercept(s), the yy-intercept, the vertical asymptote(s), and the horizontal asymptote. f(x)=(x7)(x+7)(x+1)(x8)2(x6)f(x)=\frac{(x-7)(x+7)(x+1)}{(x-8)^{2}(x-6)} (Enter ordered pairs for intercepts, and equations for asymptotes.) (Use commas to separate multiple answers, or type "NONE" if appropriate.) a. xx-intercept(s): \square b. yy-intercept: \square c. Vertical Asymptote(s): \square d. Horizontal Asymptote: \square

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Problem 2557

Mark for Review 4
Which of the following statements must be true about the series n=0an\sum_{n=0}^{\infty} a_{n} with positive terms if limnan+1an=L\lim _{n \rightarrow \infty} \frac{a_{n+1}}{a_{n}}=L ? (A) The series converges if L=12L=\frac{1}{2}.
B The series converges if L=1L=1. (C) The series converges if L=2L=2. (D) The series converges if L=L=\infty.

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Problem 2558

Which of the following series converge?
1. n=1n(1e)n\sum_{n=1}^{\infty} n\left(\frac{1}{e}\right)^{n} II. n=1n!100n\sum_{n=1}^{\infty} \frac{n!}{100^{n}} III. n=1(n!)2(2n)!\sum_{n=1}^{\infty} \frac{(n!)^{2}}{(2 n)!} (A) Ionly

C land llonly (D) I and ili only

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Problem 2559

Highlights \& Notes More 10 Mark for Review 4 \begin{tabular}{|c|c|c|c|c|} \hlinenn & 7 & 8 & 9 & 10 \\ \hlineSnS_{n} & 0.473 & 0.157 & 0.459 & 0.171 \\ \hline \end{tabular}
The alternating series k=1(1)k+1ak\sum_{k=1}^{\infty}(-1)^{k+1} a_{k} converges to SS and 0ak+1ak0 \leq a_{k+1} \leq a_{k} for all kk. The table above shows values of the partial sum Sn=k=1n(1)k+1akS_{n}=\sum_{k=1}^{n}(-1)^{k+1} a_{k} for four values of nn. If S8S_{8} is used to approximate the value SS of the series, what is the alternating series error bound? (A) 0.157 (B) 0.288 (C) 0.302 (D) 0.316

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Problem 2560

For the following function, find the xx-intercept(s), the yy-intercept, the vertical asymptote(s), and the horizontal asymptote. f(x)=x25x+4x216f(x)=\frac{x^{2}-5 x+4}{x^{2}-16} (Enter ordered pairs for intercepts, and equations for asymptotes, or type "NONE" if appropriate.) a. xx-intercept(s): \square b. yy-intercept: \square c. Vertical Asymptote(s): \square d. Horizontal Asymptote: \square

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Problem 2561

Which of the following series can be shown to converge by using the ratio test? (A) n=1nn+10\sum_{n=1}^{\infty} \frac{\sqrt{n}}{n+10} (B) n=1n1010n\sum_{n=1}^{\infty} \frac{n^{10}}{10^{n}} (C) n=1ln(n)n2\sum_{n=1}^{\infty} \frac{\ln (n)}{n^{2}} (D) n=1n+1n4\sum_{n=1}^{\infty} \frac{n+1}{n^{4}}

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Problem 2562

Check
4. Make each composite object with cubes. Assume each face of a cube has area 1 unit 2^{2}. Determine the surface area of each composite object. a) b) c) d)

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Problem 2563

4. I fost food chain surveyed a random sampie of students to delermine what pizzo they prefer zased on the results, how many of the 340 siudents cari be expected to prefer cheese pizzc? \begin{tabular}{|c|c|} \hline ACTIVITY & \begin{tabular}{c} \#OF \\ STUDENTS \end{tabular} \\ \hline Cheese & 40 \\ \hline Pepperoni & 28 \\ \hline \end{tabular}

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Problem 2564

4. Check whether the points a,b\mathbf{a}, \mathbf{b} and c\mathbf{c} belong to the same straight line in R3\mathbb{R}^{3}; if so, find a parametric equation of this line, if not, find a parametric 1 equation of the plane passing through these points. (a) a=[124]\mathbf{a}=\left[\begin{array}{c}-1 \\ 2 \\ 4\end{array}\right], b=[000] and c=[51020];(b)a=[412],b=[4102] and c=[002];(c)a=[422],b=[4102] and c=[042];(d)a=[304],b=[512] and c=[113].\begin{array}{l} \mathbf{b}=\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right] \text { and } \mathbf{c}=\left[\begin{array}{c} 5 \\ -10 \\ -20 \end{array}\right] ;(b) \mathbf{a}=\left[\begin{array}{c} 4 \\ -1 \\ 2 \end{array}\right], \mathbf{b}=\left[\begin{array}{c} -4 \\ 10 \\ 2 \end{array}\right] \text { and } \mathbf{c}= \\ {\left[\begin{array}{l} 0 \\ 0 \\ 2 \end{array}\right] ;(\mathrm{c}) \mathbf{a}=\left[\begin{array}{c} 4 \\ -2 \\ 2 \end{array}\right], \mathbf{b}=\left[\begin{array}{c} -4 \\ 10 \\ 2 \end{array}\right] \text { and } \mathbf{c}=\left[\begin{array}{l} 0 \\ 4 \\ 2 \end{array}\right] ;(\mathrm{d}) \mathbf{a}=\left[\begin{array}{c} -3 \\ 0 \\ 4 \end{array}\right],} \\ \mathbf{b}=\left[\begin{array}{c} 5 \\ -1 \\ 2 \end{array}\right] \text { and } \mathbf{c}=\left[\begin{array}{l} 1 \\ 1 \\ 3 \end{array}\right] . \end{array}

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Problem 2565

13 Mark for Review
Consider the series n=1(1)n+1an\sum_{n=1}^{\infty}(-1)^{n+1} a_{n}, where an>1na_{n}>\frac{1}{n} for all nn and the sequence {an}\left\{a_{n}\right\} decreases with limit
0. Which of the following statements is true? (A) The series converges absolutely. (B) The series converges conditionally.

C The series diverges. (D) There is not enough information to determine whether the series converges or diverges.

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Problem 2566

14 Mark for Review
The alternating series test can be used to check for convergence for which of the following series?
1. n=1(1)n+1nn2+100\sum_{n=1}^{\infty}(-1)^{n+1} \frac{n}{n^{2}+100} II. n=1(1)n+1n+3100n+3\sum_{n=1}^{\infty}(-1)^{n+1} \frac{n+3}{100 n+3} III. n=1(1)n+1an,\sum_{n=1}^{\infty}(-1)^{n+1} a_{n,} where an={1n if n is odd 1n2 if n is even a_{n}=\left\{\begin{array}{ll}\frac{1}{n} & \text { if } n \text { is odd } \\ \frac{1}{n^{2}} & \text { if } n \text { is even }\end{array}\right. (A) None (B) Ionly (C) I and III only (D) I, II, and III

AP Classroom Question 14 of 15 Aack Nent

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Problem 2567

If the partial sum with three terms is used to approximate the value of the convergent series n=3(1)n+1n2n\sum_{n=3}^{\infty}(-1)^{n+1} \frac{n}{2^{n}}, what is the alternating series error bound? (A) 332\frac{3}{32} (B) 532\frac{5}{32} (C) 14\frac{1}{4} \square Back Nort

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Problem 2568

21/29 60 N 30 N
What is the net force on the box shown below?
10 N right 110 N right 110 N left 10 N left Nov 16 1:39

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Problem 2569

3
TB MC Qu. 9-171 (Algo) An asset is An assel is purchased on January I for $41,700\$ 41,700. II is expected to have a useful life of five years after which it will have an expected residual value of $5.400\$ 5.400. The company uses the straight-line method. If it is sold for $30,800\$ 30,800 exactly two years after it is purchased, the company will record a:

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Problem 2570

3. Nicotine CxHy Nz\mathrm{C}_{x} \mathrm{H}_{y} \mathrm{~N}_{z} is a harmful compound. It affects the respiratory system and nervous system with many problems. It causes many diseases. The analysis of nicotine shows that the %\% by mass of carbon is 74.07%74.07 \% where 32.4 g nicotine contains 2.8 g hydrogen. Given: Molar masses (g. mol1\mathrm{mol}^{-1} ): N-14, C-12, H-1. Avogadro's number: NA=6×1023\mathrm{N}_{\mathrm{A}}=\mathbf{6} \times 10^{23} particles / mol. 3.1- Determine the %\% by mass of hydrogen and nitrogen in nicotine. 3.2- Determine the empirical formula of nicotine. 3.3- Show that the molecular formula of nicotine is C10H14 N2\mathrm{C}_{10} \mathrm{H}_{14} \mathrm{~N}_{2} if MNiootine =162 g mol1\mathrm{M}_{\text {Niootine }}=162 \mathrm{~g} \cdot \mathrm{~mol}^{1}. 3.4 A cigarette contains 16.2 g of nicotine. Determine the number of carbon and hydrogen atoms present in the above mass.

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Problem 2571

(d) P(XY=1)P(|X-Y|=1).
320. Supozoni se tre ndryshore tê rastëstahone X1,X2X_{1}, X_{2} dhe X3X_{3} kuné qué shpermalarge tel perbashkèt tẽ vachducshme si vijon: f(x1,x2,x3)={c(x1+2x2+3x3) pe¨0xi1(i=1,2,3)0 ndryshe f\left(x_{1}, x_{2}, x_{3}\right)=\left\{\begin{array}{ll} c\left(x_{1}+2 x_{2}+3 x_{3}\right) & \text { për } 0 \leq x_{i} \leq 1(i=1,2,3) \\ 0 & \text { ndryshe } \end{array}\right.

Pëncaktoni (a) vlerën e konstantēs c; (b) Funksioni i densitetve për X1X_{1} dhe X3X_{3}; the P(X3<1/2X1=1/4,X2=3/4)P\left(X_{3}<1 / 2 \mid X_{1}=1 / 4, X_{2}=3 / 4\right)

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Problem 2572

Soit g la fonction définie par g(x)=x32x3+2g(x)=\frac{\sqrt{x-3}-2}{\sqrt{x-3}+2} 1)\left.1^{\circ}\right) Donner le domaine de définition de gg. 22^{\circ} ) a) Calculer g(x)g(3)g(x)-g(3) b) Déduire que gg admet un minimum en 3 3)\left.3^{\circ}\right) Montrer que gg est majoré par 1

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Problem 2573

Put these numbers in order from least to greal 225\frac{2}{25} 24 0.75-0.75
Submit

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Problem 2574

In winter with heavy snow falls, the animals in Yellowstone cannot freely roam to find food, so hay is dropped for them from helicopters. A helicopter 180 feet above the ground drops a bale of hay while the helicopter itself is raising 32 feet per second. The height, (in feet) of the bale as a function of time is given by s(t)=16t2+32t+180s(t)=-16 t^{2}+32 t+180 where tt is the time since drop off (in seconds).
Statement True False
The height of the ball after 2 seconds is 112 feet.
The height of the ball after 3 seconds is 132 feet.
The value of h(3)h(3) represents the height of the ball after 3 seconds.
The value of h(9)h(9) has no meaning as the height of the ball cannot be negative.

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Problem 2575

The table gives the values of a function obtained from an experiment. Use the values to estimate 06f(1\int_{0}^{6} f(1 using three equal sub-intervals with left endpoints. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hlineww & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hlinef(w)f(w) & 9.7 & 9.1 & 7.7 & 6.1 & 4.2 & -6.6 & -10.3 \\ \hline \end{tabular} AA

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Problem 2576

2. Use the five point method to graph y=2tan(π6x+π3)+4y=-2 \tan \left(\frac{\pi}{6} x+\frac{\pi}{3}\right)+4 below

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Problem 2577

What are the domain and range of f(x)=logx5f(x)=\log x-5 ? domain: x>0x>0; range: all real numbers domain: x<0x<0; range: all real numbers domain: x>5x>5; range: y>5y>5 domain: x>5x>5; range: y>5y>-5

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Problem 2578

INhich statement is true? y=log10xy=\log _{10} x is not a logarithmic function because the base is greater than 0. y=log3xy=\log _{\sqrt{3}} x is not a logarithmic function because the base is a square root. y=log1xy=\log _{1} x is not a logarithmic function because the base is equal to 1. y=log34xy=\log _{\frac{3}{4}} x is not a logarithmic function because the base is a fraction.

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Problem 2579

What is the domain of y=log5xy=\log _{5} x ? all real numbers less than 0 all real numbers greater than 0 all real numbers not equal to 0 all real numbers

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Problem 2580

What is the domain of the function? x>2x>-2 x>0x>0 x<2x<2 all real numbers

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Problem 2581

On January 1, Mallory Company issued $400,000\$ 400,000 of 8%,58 \%, 5-year bonds when the market rate of interest was 6%6 \%. The bonds were issued for $433,698\$ 433,698 and interest will be paid annually on December 31 . How much premium amortization will Mallory record on the first interest payment date using the effective-interest method?
Multiple Choice \$26,021.88 \$32,000 \$0 \$5,978.12

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Problem 2582

What are the domain and range of f(x)=log(x+6)4f(x)=\log (x+6)-4 ? domain: x>6x>-6; range: y>4y>4 domain: x>6x>-6; range: all real numbers domain: x>6x>6; range: y>4y>-4 domain: x>6x>6; range: all real numbers

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Problem 2583

What are the domain and range of f(x)=log(x+6)4f(x)=\log (x+6)-4 ? domain: x>6x>-6; range: y>4y>4 domain: x>6x>-6; range: all real numbers domain: x>6x>6; range: y>4y>-4 domain: x>6x>6; range: all real numbers

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Problem 2584

Which logarithmic equation is equivalent to 32=9?3^{2}=9 ? 2=log392=\log _{3} 9 2=log932=\log _{9} 3 3=log293=\log _{2} 9 3=log823=\log _{8} 2

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Problem 2585

A company retires its bonds with a face value of $100,000\$ 100,000 at 105 . The carrying value of the bonds at the retirement date is $103,745\$ 103,745. The journal entry to record this retirement will include a:
Multiple Choice credit to Gain on Bond Retirement. debit to Discount on Bonds Payable. debit to Premium on Bonds Payable. credit to Bonds Payable. Prev 21 of 53 Next

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Problem 2586

If f(x)=x210xf(x)=x^{2}-10 x \begin{tabular}{|c|c|c|} \hline yy-intercept & Choose... & - \\ \hline The graph is & Choose. & - \\ \hline Discriminant Δ\Delta & Choose... & - \\ \hline Head Vertex is & Choose... & - \\ \hline x-intercept & Choose... & * \\ \hline \end{tabular}

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Problem 2587

Avalon Industries buys equipment for $60,000\$ 60,000, expects to use it for six years, and then sell it for $6,000\$ 6,000. Using the straight-line method, the company should report annual depreciation for the equipment of:
Multiple Choice \$20,500. \$9,000. \$18,000. \$10,000.

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Problem 2588

Peppertree Company's financial statements on December 31, 2024, showed the following: Net Sales Fixed Assets, January 1 Fixed Assets, December 31 Total Assets, January 1 $550,000$146,000$134,000$194,000$200,000\begin{array}{ll} \$ 550,000 \\ \$ & 146,000 \\ \$ & 134,000 \\ \$ & 194,000 \\ \$ & 200,000 \end{array}
Total Assets, December 31 What is the fixed asset turnover for 2024?
Multiple Choice 3.93 4.10 2.79 2.60

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Problem 2589

Why should a company divide up the cost of a "basket purchase" among the different assets purchased?
Multiple Choice Baskets are not long-lived assets. Some of the assets might be paid for more quickly than others. The different assets might be depreciated over different useful lives. A company with a longer list of assets will appear to be stronger.

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Problem 2590

Your company pays $620,000\$ 620,000 for a patent that has 10 years remaining. Each year, your company should:
Multiple Choice debit Accumulated Amortization for \$62,000 and credit Amortization Expense for \$62,000. debit Intangible Assets and credit Accumulated Amortization for an amount equal to 20\% of book value. report no Amortization Expense because patents are not subject to amortization. debit Amortization Expense for \$62,000 and credit Accumulated Amortization for \$62,000.

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Problem 2591

Which of the following statements is correct? :37:27
Multiple Choice Because amortization reports the consumption of intangible asset benefits over time, impairment losses are never reported for intangible assets. Items in a company's inventory that are not expected to be sold in the next year are considered long-lived assets. Intangible assets owned by public companies and that have unlimited or indefinite lives are not amortized. All long-lived intangible assets must be amortized over a period of 40 years or less.

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Problem 2592

Use transformations of f(x)=1xf(x)=\frac{1}{x} to graph g(x)=1x+26g(x)=\frac{1}{x+2}-6

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Problem 2593

After finishing his shift, a cashier wrote 2.25 under "hours worked" on his time card. How long did he work? A. 2 hours and 5 minutes B. 2 hours and 25 minutes C. 2 hours and 50 minutes D. 2 hours and 15 minutes

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Problem 2594

Amelia worked for 5 hours and 30 minutes. How should she write that on her time card? A. 5.25 B. 5.5 c. 5.3 D. 5.75

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Problem 2595

```latex \text{2. Match each statement with a graph in Figure 14 that represents company profits as a function of time.} \\ \text{a. The outlook is great: The growth rate keeps increasing.} \\ \text{b. We're losing money, but not as quickly as before.} \\ \text{c. We're losing money, and it's getting worse as time goes on.} \\ \text{d. We're doing well, but our growth rate is leveling off.} \\ \text{e. Business had been cooling off, but now it's picking up.} \\ \text{f. Business had been picking up, but now it's cooling off.} \\
\text{(i)} \\ \text{(ii)} \\ \text{(iii)} \\ \text{(iv)} \\ \text{(v)} \\ \text{(vi)} \\
\text{Rogawski et al., Calculus, 4e, © 2019 W. H. Freeman and Company} \\
\text{FIGURE 14}

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Problem 2596

A rectangle has one side of 6 cm . How fast is the area of the rectangle changing at the instant when the other side is 18 cm and increasing at 2 cm per minute? (Give units.)
Answer: 216 cm2 min216 \frac{\mathrm{~cm}^{2}}{\mathrm{~min}}

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Problem 2597

Determine the area under the standard normal curve that lies to the right of (a) Z=1.72Z=1.72, (b) Z=0.09Z=-0.09, (c) Z=1.11Z=-1.11, and (d)Z=1.37(\mathrm{d}) \mathrm{Z}=1.37.
Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) The area to the right of Z=1.72Z=1.72 is \square (Round to four decimal places as needed.)

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Problem 2598

Given the following functions: - f(x)=x24x+2f(x)=x^{2}-4 x+2 - g(x)=2x23g(x)=2 x^{2}-3
Determine fg(x)f \circ g(x).

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Problem 2599

Finding the Domain and Range of a Graph Determine the Domain and Range for the graph below. Write your answer in Interval Notation and in SetBuilder Notation.
Note: To type in the \leq sign, type <=<=. For example, to enter the Domain [10,10)[-10,10) as an inequality for Set-Builder Notation, type 10<=x<10-10<=x<10
Domain written in Interval Notation Domain written in Set-Butas Notation
Domain written in Set-Builder Notation \square {x\{x \mid \square 3
Range written in Set-Builder Notation \{y| \square

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Problem 2600

11 (b) A car completes a 200 km journey at an average speed of x km/hx \mathrm{~km} / \mathrm{h}. The car completes the return journey of 200 km at an average speed of (x+10)kmh(x+10) \mathrm{km} \mathrm{h}. (i) Show that the difference between the time taken for each of the two journeys is 2000x(x+10)\frac{2000}{x(x+10)} hours. (ii) Find the difference between the time taken for each of the two journeys when x=80x=80. [3]
Give your answer in minutes and seconds. min ss [3]

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