Analyze

Problem 2401

When solving a system of two linear equations using the graphing method, what are you looking to do exactly? Solve one of the equations for one of the variables, then use this to simplify the other equation down to a single variable. Add a multiple of one line to the other line, in the hopes of reducing down to a single variable. Graph each line on the same graph, then find their point of intersection (if one exists). Check to see if a given point is a solution to each equation in the system.

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Problem 2402

3. How can you find the products of 1×81 \times 8 and 8×18 \times 1 without decomposing?

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Problem 2403

Put the following inequality in interval notation: x<3 or x>5x<-3 \text { or } x>5 (,3,5,)(-\infty,-3,5, \infty) [3,5][-3,5] (,3)(5,)(-\infty,-3) \cup(5, \infty) (3,5)(-3,5)

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Problem 2404

Which point would be a solution to the system of linear inequalities shown below? y12x4y<43x3y \leq \frac{1}{2} x-4 \quad y<-\frac{4}{3} x-3
Answer Attempt 1 out of 2 (6,10)(-6,10) (12,8)(-12,-8) Submit Answer (0,5)(0,-5) (12,5)(-12,-5)

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Problem 2405

Which point would not be a solution to the system of linear inequalities shown below? y>4x+4y<2x+8y>-4 x+4 \quad y<-2 x+8
Answer Attempt 1 out of 2 (3,7)(3,-7) (10,3)(-10,-3) Submit Answer (2,3)(2,-3) (8,10)(8,-10)

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Problem 2406

What is the yy-intercept of the line: 4x5y=404 x-5 y=-40 (0,10)(0,-10) (0,5)(0,-5) (0,8)(0,8) (0,4/5)(0,-4 / 5)

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Problem 2407

Question 4 (1 pt) A reviser
Parmi les intégrales proposées, laquelle donne le moment d'inertie par rapport à l'axe Oy d'un fil mince empruntant le plus court chemin le long du cercle x2+y2=1x^{2}+y^{2}=1 pour aller du point (1,0)(1,0) au point (0,1)(0,1) et de densité f(x,y)=3x+7yf(x, y)=3 x+7 y ? 0π/23sin2tcost+7cos2tsintdt\int_{0}^{\pi / 2} 3 \sin ^{2} t \cos t+7 \cos ^{2} t \sin t d t 0π/23sin2tcost+7cos2tsintdt\int_{0}^{\pi / 2} 3 \sin ^{2} t \cos t+7 \cos ^{2} t \sin t d t 0π/23cos3t+7sin3tdt\int_{0}^{\pi / 2} 3 \cos ^{3} t+7 \sin ^{3} t d t 0π/23sin3t+7cos3tdt\int_{0}^{\pi / 2} 3 \sin ^{3} t+7 \cos ^{3} t d t 0π/23cos3t+7cos2tsintdt\int_{0}^{\pi / 2} 3 \cos ^{3} t+7 \cos ^{2} t \sin t d t 0π/23cos2tsint+7cos3tdt\int_{0}^{\pi / 2} 3 \cos ^{2} t \sin t+7 \cos ^{3} t d t 0π/23sin3t+7sin2tcostdt\int_{0}^{\pi / 2} 3 \sin ^{3} t+7 \sin ^{2} t \cos t d t 0π/23sin2tcost+7sin3tdt\int_{0}^{\pi / 2} 3 \sin ^{2} t \cos t+7 \sin ^{3} t d t Aucune des intégrales proposées ne donne le moment d'inertie demandé.

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Problem 2408

(a) The following number of people attended the last 9 screenings of a movie: 197,198,199,202,203,204,206,208,209197,198,199,202,203,204,206,208,209
Which measure should be used to summarize the data? Mean Median Mode (b) Karen wants to determine which letter appears the most often in her favorite poem. Which measure should she use? Mean Median Mode (c) The 9 members of the dance team each bought new shoes. Here are the prices they paid: $52,$53,$54,$55,$56,$57,$62,$65,$96.\$ 52, \$ 53, \$ 54, \$ 55, \$ 56, \$ 57, \$ 62, \$ 65, \$ 96 .
Which measure should be used to summarize the data? Mean Median Mode

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Problem 2409

A 10-foot pole is supporting a tent and has a rope attached to the top. The rope is pulled straight and the other end is attached to a peg one foot above the ground. The rope and the pole form an angle that measures 3535^{\circ}, as shown below.
Which expression shows the length of the rope? 10cos3512.2\frac{10}{\cos 35^{\circ}} \approx 12.2 feet 9cos3511.0\frac{9}{\cos 35^{\circ}} \approx 11.0 feet 10cos35111.2\frac{10}{\cos 35^{\circ}}-1 \approx 11.2 feet 9cos35+112.0\frac{9}{\cos 35^{\circ}}+1 \approx 12.0 feet

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Problem 2410

What signs are sec(140)\sec \left(-140^{\circ}\right) and cot(140)?\cot \left(-140^{\circ}\right) ? sec(140)>0\sec \left(-140^{\circ}\right)>0 and cot(140)<0\cot \left(-140^{\circ}\right)<0 They are both positive. They are both negative. sec(140)<0\sec \left(-140^{\circ}\right)<0 and cot(140)>0\cot \left(-140^{\circ}\right)>0

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Problem 2411

The graph of a cosine function is drawn. One full cycle goes from x=0x=0 to x=1x=1 and the high point on that cycle is (12,5)\left(\frac{1}{2}, 5\right) : Which of the following functions could have this graph? y=5cosπxy=-5 \cdot \cos \pi x y=5cos2πxy=-5 \cdot \cos 2 \pi x y=5cos2πxy=5 \cdot \cos 2 \pi x

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Problem 2412

1. Enter the correct answer in the box.
Steel, iron, nickel, and cobalt are special metals. Which physical property do these metals share that makes them different from other metals? \square Clear All

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Problem 2413

Use the guidelines in this section to choose uu that should be used in integration by parts for the following integral. Do not evaluate the integral. Recall, the integration by parts formula is udv=uvvdux3tan1(x)dx\begin{array}{l} \int u d v=u v-\int v d u \\ \int x^{3} \tan ^{-1}(x) d x \end{array} u=u= \square help (formulas)

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Problem 2414

The population of a city can be modeled using the formurd P=100,000e0.05tP=100,000 e^{0.05 t}, where tt is the number of years after 2012 and PP is the city's population. Which of the following equations can be used to find the number of years after 2012 that the population will triple to 300,000 ? t=log30.05t=\frac{\log 3}{0.05} t=30.05et=\frac{3}{0.05 e} t=ln200,0000.05t=\frac{\ln 200,000}{0.05} t=ln30.05t=\frac{\ln 3}{0.05}

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Problem 2415

Find the absolute extrema if they exist, as well as all values of xx where they occur, for the function f(x)=x3+6x2+9x6f(x)=x^{3}+6 x^{2}+9 x-6 on the domain [6,0][-6,0].

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Problem 2416

Question 4 of 15 (1 point) I Question Attempt: 1 of 3 Blood types: The blood type 0 negative is called the "universal donor" type, because it is the only blood type that may safely be transfused into any person. Therefore, when someone needs a transfusion in an emergency and their blood type cannot be determined, they are given type O negative blood. For this reason, donors with this blood type are crucial to blood banks. Unfortunately, this blood type is fairly rare; according to the Red Cross, only 5%5 \% of U.S. residents have type OO negative blood. Assume that a blood bank has recruited 19 donors. Round the answers to at least four decimal places.
Part 1 of 3 (a) What is the probability that two or more of them have type 0 negative blood?
The probability that two or more of them have type OO negative blood is 0.2452
Part 2 of 3 (b) What is the probability that fewer than five of them have type 0 negative blood?
The probability that fewer than five of them have type 0 negative blood is 0.9980 .
Part: 2/32 / 3
Part 3 of 3 (c) Would it be unusual if none of the donors had type 0 negative blood? Use a cutoff of 0.05 .

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Problem 2417

y=5(x4x2)2,y=0,x=1 and x=4y = 5\left(\frac{\sqrt{x}}{4} - \frac{x}{2}\right)^{2}, \quad y = 0, \quad x = 1 \text{ and } x = 4
Find the area of the region bounded by the curves and lines given.

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Problem 2418

Use the graph to answer the following questions. (a) Over which intervals is the function decreasing? Choose all that apply. (,4)(-\infty,-4) \square (4,2)(-4,-2) \square (2,2)(-2,2) \square (4,2)(-4,2) \square (2,6)(2,6) \square (8,)(8, \infty) (b) At which xx-values does the function have local maxima? If there is more than one value, separate them with commas. \square

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Problem 2419

9. Which statements below is false regarding the logarithmic equation y=alogbxy=a \log _{b} x, where b>0b>0 and b1?b \neq 1 ? a. The range is yRy \in \mathbb{R} b. There is no yy-intercept. c. The xx-intercept is 1 d. The domain is x0x \geq 0

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Problem 2420

Question 10: 108833 to 27a6b5327a5b6?\sqrt[3]{27 a^{6} b^{5}}-\sqrt{27 a^{5} b^{6}} ? 27a5b5(a3b)27 a^{5} b^{5}(\sqrt[3]{a}-\sqrt{b}) 3a2bb233a2b33a3 a^{2} b \sqrt[3]{b^{2}}-3 a^{2}\left|b^{3}\right| \sqrt{3 a} 3a2b2(3a2b33ab2)3 a^{2} b^{2}\left(\sqrt[3]{3 a^{2} b}-\sqrt{3 a b^{2}}\right) 3a33a533b33a53 a^{3} \sqrt[3]{3 a^{5}}-3\left|b^{3}\right| \sqrt{3 a^{5}}

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Problem 2421

Which THREE statements are true about functions? Functions are often represented in math by drawing mapping diagrams. A circle is considered a function. All functions are linear. A function is a relationship where each input has one output. The input values of a function are independent values, and the output values of a function are dependent values. 1 2 3 4

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Problem 2422

Use the discriminant to determine how many and what kind of solutions the quadratic equation x2x=1x^{2}-x=1 has. one real solution two complex (nonreal) solutions no real or complex solutions two real solutions

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Problem 2423

Find the absolute extrema if they exist, as well as all values of xx where they occur, for the function f(x)=2x224x27f(x)=2 x-224 x^{\frac{2}{7}} (a) on the interval [128,122][-128,122] and (b)(b) on the interval [122,384][122,384]. (a) Identify the absolute maximum on the interval [128,122][-128,122] if it exists. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

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Problem 2424

Expand the expression by using Pascal's Triangle to determine the coefficients. (a+5)5(a+5)^{5}

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Problem 2425

The following are the distances (in miles) to the nearest airport for 11 families. 7,16,19,20,23,23,25,27,28,35,387,16,19,20,23,23,25,27,28,35,38 Notice that the numbers are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. \begin{tabular}{|lc|} \hline Five-number summary \\ Minimum: & 7 \\ Lower quartile: & 19 \\ Median: & 23 \\ Upper quartile: & 28 \\ Maximum: & 38 \\ \hline Interquartile range: \\ \hline \end{tabular}

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Problem 2426

- It will be turned in automatically after the due date.
17. Submit answer

Practice similar
Find the 3 unit moving average of the function f(x)=x4+8f(x)=x^{4}+8. \square Video Example: Solving A Similar Problem

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Problem 2427

What is true about the function f(x)=1x3f(x)=-\frac{1}{x-3} as xx \rightarrow \infty ? a) f(x)f(x) is undefined b) f(x)0f(x) \rightarrow 0 from below c) f(x)0f(x) \rightarrow 0 from above d) f(x)13f(x) \rightarrow \frac{1}{3}

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Problem 2428

Which function is always positive? a) f(x)=32x+4f(x)=\frac{3}{2 x+4} b) f(x)=1(x4)2f(x)=\frac{1}{(x-4)^{2}} c) f(x)=1x2+4f(x)=\frac{1}{x^{2}+4} d) B and C

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Problem 2429

3. Exit Ticket
Predict how the graphs of the patterns will compare. Explain your thinking. Then complete the tables of values and graph each patte Were your predictions correct? (Knowledge and Understanding) (Thinking) (Commun cation) A: 3x+4-3 x+4 \begin{tabular}{|c|c|} \hlinexx & 3x+4-3 x+4 \\ \hline 0 & 4 \\ \hline 1 & 1 \\ \hline 2 & -2 \\ \hline 3 & -5 \\ \hline \end{tabular} B. 2x+42 x+4 \begin{tabular}{|c|c|} \hlinexx & 2x+42 x+4 \\ \hline 0 & 4 \\ \hline 1 & 6 \\ \hline 2 & \\ \hline 3 & \\ \hline 3 & \\ \hline \end{tabular}

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Problem 2430

What is the yy-intercept of the function f(x)=3x3+1f(x)=-\frac{3}{x-3}+1 ? a) 2 b) -3 c) 1 d) 0

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Problem 2431

What is the approximate slope of the curve with equation f(x)=1x1f(x)=\frac{1}{x-1} at x=1.2?x=1.2 ? a) -25 b) 25 c) 125-\frac{1}{25} d) 125\frac{1}{25}

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Problem 2432

Question 14 of 25 Select the true statement about triangle ABCA B C. A. cosA=cosC\cos A=\cos C B. cosA=sinB\cos A=\sin B PREVIOUS

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Problem 2433

a Factor.
1. x24x+4x^{2}-4 x+4
3. y2+18y+81y^{2}+18 y+81
5. x2+1+2xx^{2}+1+2 x
7. 9y2+12y+49 y^{2}+12 y+4
9. 18y2+y3+81-18 y^{2}+y^{3}+81
11. 12a2+36a+2712 a^{2}+36 a+27
13. 2x240x+2002 x^{2}-40 x+200
15. 18d+16d21-8 d+16 d^{2}
17. 3a36a2+3a3 a^{3}-6 a^{2}+3 a
19. 0.25x2+0.30x+0.25 x^{2}+0.30 x+
21. p22pq+q2p^{2}-2 p q+q^{2}
23. a2+4ab+4b2a^{2}+4 a b+4 b^{2}
25. 25a230ab+925 a^{2}-30 a b+9
27. y6+26y3+169y^{6}+26 y^{3}+169
29. 16x108x5+116 x^{10}-8 x^{5}+1
31. x4+2x2y2+y4x^{4}+2 x^{2} y^{2}+y^{4}

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Problem 2434

C Factor:
53. m37m24m+28m^{3}-7 m^{2}-4 m+28
54. x3+8x2x8x^{3}+8 x^{2}-x-8 55.
56. p2q25q+3p2p^{2} q-25 q+3 p^{2}

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Problem 2435

Use the table to estimate 040f(x)dx\int_{0}^{40} f(x) d x. Assume that f(x)f(x) is an increasing function. \begin{tabular}{c|c|c|c|c|c} \hlinexx & 0 & 10 & 20 & 30 & 40 \\ \hlinef(x)f(x) & 370 & 390 & 430 & 460 & 480 \\ \hline \end{tabular}
Estimate the integral using the average of left-and right-hand sums. 040f(x)dxi\int_{0}^{40} f(x) d x \approx i

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Problem 2436

Which flask represents a system in which the liquid has just been poured into the flask and sealed?
Enter the answer choice letter.

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Problem 2437

Name the given number using words. 73,898,05173,898,051

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Problem 2438

Textbook Sections 7.5 and 7.6 Homework Mini Quiz POSSIBLE POINTS: 2.5
Which one of these statements about Work and Energy is incorrect? The work done on an object by a constant force FF at an angle θ\theta of the object's displacement dd is W=FdcosθW=F d \cos \theta The work-energy theorem for an object states that the net work on an object is equal to the object's change in kinetic energy Wnet =ΔK\mathrm{W}_{\text {net }}=\Delta \mathrm{K} The work done on an object by a constant force FF in the direction of the object's displacement dd is W=Fd\mathrm{W}=\mathrm{Fd} The kinetic energy of an object is K=1/2mv2\mathrm{K}=1 / 2 \mathrm{mv}{ }^{2} \qquad The spring potential energy of a spring stretched so that its total length is x is US=1/2kx2U_{S}=1 / 2 k x^{2} 9 8F8^{\circ} \mathrm{F} Q Search 4. \square 2

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Problem 2439

Fill in the missing information using the box method below. (Use "SHIFT 6" to write an exponent. For example, x2\mathrm{x}^{\wedge} 2 ) 3x2+13x+123 x^{2}+13 x+12 \begin{tabular}{|l|l|l|} \hline & & \\ \hline & \square & \\ \hline & \square & \\ \hline & & \\ \hline \end{tabular}

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Problem 2440

```latex \begin{align*} &3x^2 + 4x - 15 \\ &\begin{array}{|c|c|c|} \hline \square & & \\ \hline & \square & \square \\ \hline & & \\ \hline & \\ \hline \end{array} \end{align*} ```

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Problem 2441

Which angles are alternate interior angles? YXU\angle Y X U and TUX\angle T U X YXU\angle Y X U and VUX\angle V U X YXU\angle Y X U and WXU\angle W X U YXU\angle Y X U and TUS\angle T U S

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Problem 2442

Determine whether the following is an exponential function. Answer yes or no. y=(x+5)23y=(x+5)^{\frac{2}{3}}

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Problem 2443

Which angles are adjacent angles? ONQ\angle O N Q and RQN\angle R Q N ONQ\angle O N Q and MNL\angle M N L ONQ\angle O N Q and PQS\angle P Q S ONQ\angle O N Q and ONL\angle O N L

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Problem 2444

9] x24x12x^{2}-4 x-12 10] x26x27x^{2}-6 x-27

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Problem 2445

Factor these quadratic express bb and cc to determine the signs
13] 3x2+3x63 x^{2}+3 x-6

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Problem 2446

etermine whether the proportion is a true proportion. 16756=31613\frac{1 \frac{6}{7}}{\frac{5}{6}}=\frac{3 \frac{1}{6}}{\frac{1}{3}}
Is the proportion a true proportion? A. Yes, because 16713=316561 \frac{6}{7} \cdot \frac{1}{3}=3 \frac{1}{6} \cdot \frac{5}{6}. B. No, because 167+13316+561 \frac{6}{7}+\frac{1}{3} \neq 3 \frac{1}{6}+\frac{5}{6}. C. No, because 16713316561 \frac{6}{7} \cdot \frac{1}{3} \neq 3 \frac{1}{6} \cdot \frac{5}{6} 616-1 15

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Problem 2447

The graph of an exponential function is shown in the figure below. The horizontal asymptote is shown as a dashed line. Find the domain and the range.
Write your answers as inequalities, using xx or yy as appropriate. Or, you may instead click on "Empty set" or "All reals" as the answer. (a) domain: \square (b) range: \square

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Problem 2448

15] 9x236x459 x^{2}-36 x-45

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Problem 2449

Find each unit price and decide which is the better buy. Assume that we are comparing different sizes of the same brand.
Frozen orange juice: $1.53\$ 1.53 for 14 ounces $0.53\$ 0.53 for 4 ounces
Find the unit price of a frozen orange juice which costs $1.53\$ 1.53 for 14 ounces. \ \squareperounce(Typeawholenumberoradecimal.Roundtothreedecimalplacesasneeded.)Findtheunitpriceofafrozenorangejuicewhichcosts per ounce (Type a whole number or a decimal. Round to three decimal places as needed.) Find the unit price of a frozen orange juice which costs \0.53 0.53 for 4 ounces. \ \squareperounce(Typeawholenumberoradecimal.Roundtothreedecimalplacesasneeded.)Whichisthebetterbuy?A. per ounce (Type a whole number or a decimal. Round to three decimal places as needed.) Which is the better buy? A. \0.53 0.53 for 4 ounces (1) Time Remaining: 02:29:02

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Problem 2450

139. Dave counted a total of 9 dogs and cats at a shelter. Which of the following could be the ratio of dogs to cats at the shelter? (A) 1:21: 2 (B) 1:31: 3 (C) 1:41: 4 (D) 1:51: 5 (E) 1:61: 6

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Problem 2451

4. (15 points) Determine if the series k=111+k2\sum_{k=1}^{\infty} \frac{1}{1+k^{2}} diverge, converges absolutely or conditionally

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Problem 2452

A particle moves according to the law of motion s(t)=t37t2+4t,t0s(t)=t^{3}-7 t^{2}+4 t, t \geq 0, where tt is measured in seconds and ss in feet. c.) When is the particle at rest? Enter your answer as a comma separated list. Enter None if the particle is never at rest. At t1=t_{1}= \square and t2=t_{2}= \square with t1<t2t_{1}<t_{2}. d.) When is the particle moving in the positive direction?
When 0t<0 \leq t< \square and t>t> \square

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Problem 2453

The function f(x)=x33f(x)=x^{3}-3 is one-to-one. a. Find an equation for f1f^{-1}, the inverse function. b. Verify that your equation is correct by showing that f(f1(x))=xf\left(f^{-1}(x)\right)=x and f1(f(x))=xf^{-1}(f(x))=x. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) A. f1(x)=f^{-1}(x)= \square , for xx \geq \square B. f1(x)=f^{-1}(x)= \square , for all xx C. f1(x)=f^{-1}(x)= \square , for xx \leq \square D. f1(x)=f^{-1}(x)= \square , for xx \neq \square

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Problem 2454

Two of the hottest smartphones on the market are the newly released iPhone6 and the Samsung Galaxy S6. CNet.com offers online reviews of all major cell phones, including battery life tests. In a review of the iPhone6, the talk-time battery life of 35 iPhones was measured. Similarly, the talk-time battery life of 30 Galaxy S6s was measured.
Two outputs are given below. Which is appropriate for analyzing the data collected? ``` Output 1 Hhi Mean of iPhone6 \muz: Mean of Galaxy S6 ``` \begin{tabular}{|l|c|c|} \hline Difference & Sample Diff. & Std. Err. \\ \hlineμ1μ2\mu_{1}-\mu_{2} & -0.71759861 & 0.189403 \\ \hline \end{tabular}
Possible p-values: 0.0001,0.0002,0.99990.0001,0.0002,0.9999 Output 2 HR=mH_{R}=\mathrm{m} ean of the paired difference between iPhone6 and Galaxy 56 \begin{tabular}{|c|c|c|} \hline Difference & Sample Diff. & Std. Err. \\ \hline iPhone6 - Galaxy S6 & -0.754246 & 0.192151 \\ \hline \end{tabular}
Possible p-values: 0.0002,0.0004,0.99980.0002,0.0004,0.9998 Output 1 Output 2
Using the StatCrunch output chosen above, determine if there is a difference in the mean battery life for the two phones. Use a significance level of 0.01 when conducting the test. - Select the appropriate hypotheses. Make sure the notation used in the hypotheses agrees with the type of samples selected in the output. Ho:μd=0Ho:μd=0Ho:μd=0Ho:μ1=μ2Ho:μ1=μ2Ho:μ1=μ2Ha:μd>0Ha:μd<0Ha:μd0Ha:μ1<μ2Ha:μ1>μ2Ha:μ1μ2\begin{array}{llllll} H_{o}: \mu_{d}=0 & H_{o}: \mu_{d}=0 & H_{o}: \mu_{d}=0 & H_{o}: \mu_{1}=\mu_{2} & H_{o}: \mu_{1}=\mu_{2} \quad H_{o}: \mu_{1}=\mu_{2} \\ H_{a}: \mu_{d}>0 & H_{a}: \mu_{d}<0 & H_{a}: \mu_{d} \neq 0 & H_{a}: \mu_{1}<\mu_{2} & H_{a}: \mu_{1}>\mu_{2} & H_{a}: \mu_{1} \neq \mu_{2} \end{array} - α=\alpha= \square reject HoH_{o} if probability \square α\alpha - TS:t=\mathrm{TS}: \mathrm{t}= \square (make sure you reference the probabilities in the output you selected in the - probability = ) first question) - decision: Select an answer (6) - At the 0.01 level, there Select an answer significant evidence to conclude the mean battery life for an iPhone 6 is Select an answer (0) than the mean for a Galaxy S6.

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Problem 2455

2 Matching 10 points
The table shows the area A(n)A(n), in square centimeters, of a piece of paper after it is folded in half n times. Lin wrote the equation A(n)=280(12)nA(n)=280 \cdot\left(\frac{1}{2}\right)^{n} to express the area A as a function of the number of folds n . Match the values 280 and the 12\frac{1}{2} to the description of what each means in Lin's equation. \begin{tabular}{|c|c|} \hlinenn & A(n)A(n) \\ \hline 1 & 140 \\ \hline 2 & 70 \\ \hline 3 & 35 \\ \hline 4 & 17.5 \\ \hline \end{tabular}
280 1/21 / 2

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Problem 2456

When 22.0mL of a 2.45×104M sodium phosphate solution is combined with 15.0mL of a 3.54×104M chromium(III) acetate solution, does a precipitate form?\text{When } \mathbf{22.0 \, \text{mL}} \text{ of a } 2.45 \times 10^{-4} \, \text{M} \text{ sodium phosphate solution is combined with } 15.0 \, \text{mL} \text{ of a } 3.54 \times 10^{-4} \, \text{M} \text{ chromium(III) acetate solution, does a precipitate form?} \text{(yes or no)}
For these conditions the Reaction Quotient, Q, is equal to\text{For these conditions the Reaction Quotient, Q, is equal to}
\text{Hello! It looks like you're working on a chemistry problem involving precipitation and the Reaction Quotient (Q). To determine whether a precipitate forms, we need a bit more information, specifically the solubility product constant (KspK_{sp}) for the possible precipitate that might form from mixing these solutions.}
\text{Could you provide the KspK_{sp} value for the compound that might precipitate, or let me know which compound you suspect will precipitate? Once we have that, I can help you calculate Q and determine if a precipitate will form!}
\text{Not given}

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Problem 2457

When 22.0 mL of a 2.45×104M sodium phosphate solution is combined with 15.0 mL of a 3.54×104M chromium(III) acetate solution, does a precipitate form? (yes or no)\text{When 22.0 mL of a } 2.45 \times 10^{-4} \, \text{M sodium phosphate solution is combined with 15.0 mL of a } 3.54 \times 10^{-4} \, \text{M chromium(III) acetate solution, does a precipitate form? (yes or no)}
For these conditions the Reaction Quotient, Q, is equal to \text{For these conditions the Reaction Quotient, } Q, \text{ is equal to }

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Problem 2458

MULTIPLE CHOICE QUESTION
A flat line on a distance/time graph means that
The object moved 4 meters in 3 seconds.
The object is moving at a constant rate
The object is not moving at all here. It is staying at 4 meters from 0 to 3 seconds.
Acceleration is constant here.

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Problem 2459

(log4a)(loga2a)(log2ax)=logaa3\left(\log _{4} a\right)\left(\log _{a} 2 a\right)\left(\log _{2 a} x\right)=\log _{a} a^{3}

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Problem 2460

(log4a)(loga2a)(log2ax)=logaa3\left(\log _{4} a\right)\left(\log _{a} 2 a\right)\left(\log _{2 a} x\right)=\log _{a} a^{3}

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Problem 2461

Consider the function h(x)=3x+4h(x)=-3^{x}+4 a. Graph the function.
Tool help: First click to position the asymptote, then click two points on the graph.
Clear All Draw: b. Equation of the asymptote: \square c. Domain in interval notation: \square d. Range in interval notation: \square

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Problem 2462

MULTIPLE CHOICE QUESTION
How do you calculate the change in position? Final position/initial position Initial position - final position Initial position/final position Final position - initial position Rewatch Skip Sub

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Problem 2463

Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation. a. What does the slope of the line shown by the points mean in this situation? b. What does the vertical intercept mean in this situation?

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Problem 2464

Problem 9. (1 point)
A table of values for f,g,ff, g, f^{\prime}, and gg^{\prime} is given below. \begin{tabular}{|c|c|c|c|c|} \hlinexx & f(x)f(x) & g(x)g(x) & f(x)f^{\prime}(x) & g(x)g^{\prime}(x) \\ \hline 1 & 3 & 1 & 2 & 2 \\ \hline 2 & 2 & 2 & 2 & 2 \\ \hline 3 & 1 & 1 & 2 & 3 \\ \hline \end{tabular} (A) If h(x)=f(g(x))h(x)=f(g(x)), then h(2)=h^{\prime}(2)= \square (B) If H(x)=g(f(x))H(x)=g(f(x)), then H(1)=H^{\prime}(1)= \square

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Problem 2465

5. Sketch the graph of y=2x+5y=-2 x+5 on a Cartesian plane for x=4x=-4 to x=+10x=+10. Label the xx-and yy-intercepts and the end points. 422(2)2+2 - 4×8(2)\begin{array}{l} 42-2(2)^{2}+2 \\ \text { - } 4 \times 8 \\ (2) \end{array} 1) ==

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Problem 2466

Is (3,4)(3,-4) a solution to this system? {5x4y=313xy=11\left\{\begin{array}{l} 5 x-4 y=31 \\ -3 x-y=-11 \end{array}\right.
Make your choice here:
Next Question \square ? Yes No

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Problem 2467

Given the function f(x)=x216,x0f(x)=x^{2}-16, x \geq 0, complete parts a through cc. (a) Find an equation for f1(x)f^{-1}(x). (b) Graph ff and f1f^{-1} in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of ff and f1f^{-1}. (a) Find f1(x)\mathrm{f}^{-1}(\mathrm{x}). f1(x)=x+16f^{-1}(x)=\sqrt{x+16} (Type an exact answer, using radicals as needed.) (b) Graph ff and f1\mathrm{f}^{-1} in the same coordinate system. Choose the correct graph below. A. B. C.

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Problem 2468

Given the function f(x)=x35f(x)=x^{3}-5, complete parts a through cc. (a) Find an equation for f1(x)f^{-1}(x). (b) Graph ff and f1f^{-1} in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of ff and f1f^{-1}. (a) Find f1(x)\mathrm{f}^{-1}(\mathrm{x}). f1(x)=x+53f^{-1}(x)=\sqrt[3]{x+5} (Type an exact answer, using radicals as needed.) (b) Graph f and f1f^{-1} in the same coordinate system. Choose the correct graph below. A. B. Points: 0 of 1 . 0.00 or 16 points \qquad

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Problem 2469

Use the results from a survey of a simple random sample of 1055 adults. Among the 1055 respondents, 65%65 \% rated themselves as above average drivers. We want to test the claim that 1120\frac{11}{20} of adults rate themselves as above average drivers. Complete parts (a) through (c). a. Identify the actual number of respondents who rated themselves as above average drivers.
686 (Round to the nearest whole number as needed.) b. Identify the sample proportion and use the symbol that represents it. \square (Type an integer or a decimal rounded to two decimal places as needed.) c. For the hypothesis test, identify the value used for the population proportion and use the symbol that represents it. \square \square (Type an integer or a decimal rounded to two decimal places as needed.)

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Problem 2470

A certain drug is used to treat asthma. In a clinical trial of the drug, 25 of 284 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10%10 \% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to ``` 1-PropzTest prop<0.1 ``` ``` p=0.2506296634 \hat{p}=0.0880281690 n=284 ``` complete parts (a) through (e) below. a. Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test Right tailed test Two-tailed test b. What is the test statistic? z=0.67z=-0.67 (Round to two decimal places as needed.) c. What is the P -value? PP-value =0.2506=0.2506 (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it?
Identify the null hypothesis. A. H0:p=0.1H_{0}: p=0.1 B. H0:p<0.1H_{0}: p<0.1 c. H0:p0.1H_{0}: p \neq 0.1 D. H0:p>0,1H_{0}: p>0,1

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Problem 2471

Sales (in thousands of units) of a new product are approximated by the function S(t)=200+25log4(3t+1)S(t)=200+25 \log _{4}(3 t+1) where tt is the number of years after the product is introduced. Complete parts (a) through (c) below. (a) What were the sales, to the nearest unit, after 5 yr?
The approximated sales after 5 years were 250 thousand units. (Simplify your answer.) (b) What were the sales, to the nearest unit, after 21 yr?
The approximated sales after 21 years were \square thousand units. (Simplify your answer.)

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Problem 2472

Identify the yy-intercept, the xx intercepts, the vertex, and then graph: y=x22x8y=x^{2}-2 x-8
The yy-intercept is (0(0, \square )
The x -intercepts are \square ,0) \square ,0)
The vertex is ( \square \square To make the graph click on the vertex and one other point.

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Problem 2473

The expression below is the factorization of what trinomial? 1(x+5)(x+6)-1(x+5)(x+6) A. x2+11x+30x^{2}+11 x+30 B. x211x30-x^{2}-11 x-30 C. x211x30x^{2}-11 x-30 D. x2+11x+30-x^{2}+11 x+30

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Problem 2474

When asked to factor the trinomial 4x2+12x+94 x^{2}+12 x+9, a student gives the answer (2x3)(2x3)(2 x-3)(2 x-3). What is one thing wrong with this answer? A. The factors are not simplified B. 4 is also a factor of this trinomial C. There is nothing wrong with the answer D. The minus signs should be plus signs

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Problem 2475

Which of the following is a correct factorization of this trinomial? 3x2+10x8-3 x^{2}+10 x-8 A. (3x4)(x2)-(3 x-4)(x-2) B. (x+4)(x3)-(x+4)(x-3) C. (3x+4)(x+2)-(3 x+4)(x+2) D. 3(x+4)(x+2)-3(x+4)(x+2)

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Problem 2476

What kind of causal condition is expressed by this statement - Eating chicken soup causes a person to recover from having a cold.
Sufficient
Necessary and sufficient
Neither necessary nor sufficent
Necessary

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Problem 2477

At a local museum, a statue must be at least 127 centimeters tall for display purposes. Rob wants to give the museum the statue he built. His statue is 3 feet 7 inches tall. Is Rob's statue tall enough to be accepted by the museum? Explain.
Click the icon to view the customary and metric unit equivalents.
Choose the correct answer below. A. No. 3ft7in.=43in3 \mathrm{ft} 7 \mathrm{in} .=43 \mathrm{in}. Multiply 43 by 2.54 to find the height of Rob's statue to the nearest tenth of a centimeter: 43×2.54 cm=109.2 cm43 \times 2.54 \mathrm{~cm}=109.2 \mathrm{~cm}, and 109.2 cm<127 cm109.2 \mathrm{~cm}<127 \mathrm{~cm}. B. No. 3ft7in.=43in3 \mathrm{ft} 7 \mathrm{in} .=43 \mathrm{in}. Divide 43 by 2.54 to find the height of Rob's statue to the nearest tenth of a centimeter: 43÷2.54 cm=16.9 cm43 \div 2.54 \mathrm{~cm}=16.9 \mathrm{~cm}, and 16.9 cm<127 cm16.9 \mathrm{~cm}<127 \mathrm{~cm}. C. Yes. 3ft7in.=53in3 \mathrm{ft} 7 \mathrm{in} .=53 \mathrm{in}. Multiply 53 by 2.54 to find the height of Rob's statue to the nearest tenth of a centimeter: 53×2.54 cm=134.6 cm53 \times 2.54 \mathrm{~cm}=134.6 \mathrm{~cm}, and 134.6 cm>127 cm\mathrm{cm}>127 \mathrm{~cm}. D. No. 3ft7in.=53in3 \mathrm{ft} 7 \mathrm{in} .=53 \mathrm{in}. Divide 53 by 2.54 to find the height of Rob's statue to the nearest tenth of a centimeter: 53÷2.54 cm=20.9 cm53 \div 2.54 \mathrm{~cm}=20.9 \mathrm{~cm}, and 20.9 cm<127 cm20.9 \mathrm{~cm}<127 \mathrm{~cm}.

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Problem 2478

State the vertical asymptote(s) and determine the end behavior of the rational function f(x)=9x5f(x)=\frac{-9}{x-5}. Equation(s) of vertical asymptote(s): \square End behavior: As x,f(x)x \rightarrow-\infty, f(x) \rightarrow \square as x+,f(x)x \rightarrow+\infty, f(x) \rightarrow \square

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Problem 2479

An employee brings a contagious disease to an office with 200 employees. The number of employees infected by the disease tt days after the employees are first exposed to it is given by N=701+79e0.9t\mathrm{N}=\frac{70}{1+79 e^{-0.9 t}}
Use graphical or numerical methods to find the number of days until 69 employees have been infected.
The number of days until 69 employees have been infected is 6 . (Round to the nearest whole number.)

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Problem 2480

Question 10. Score: 0/10 / 1
Ignacio walks 229 feet from his car to his bus stop. Which of the following best describes a variable related to Ignacio's position as he walks?
Let 229 - a represent Ignacio's distance from his car. Let 229 - a represent Ignacio's distance from his bus stop. Let aa represent Ignacio's distance, in feet. Then 229 - aa represents Ignacio's distance, in feet, from his bus stop.
Let aa represent Ignacio's distance from his car. Then 229 - a represents Ignacio's distances, in feet, from his bus stop.
Let aa represent Ignacio's distance, in feet, from his car. Then 229 - aa represents Ignacio's distances, in feet, from his bus stop.
Score: 0/10 / 1

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Problem 2481

Emiliano is standing next to a football stadium when he began walking south from the football stadium at a constant speed of 5 feet per second. As Emiliano walks south from the football stadium, is his distance south of the football stadium proportional to the time elapsed since he started walking away from the football stadium? Select the BEST answer. Yes, the football stadium's distance north of Emiliano (in feet) is always the same number of times as large as the number of seconds Emiliano has been walking. Yes, Emiliano's distance south of the football stadium is related to the time elapsed since he started walking. No, Emiliano's distance south of the football stadium (in feet) is not always proportional to the number of seconds hithas been walking. No, Emiliano's distance south of the football stadium (in feet) is always larger than the number of seconds elapsed since he started walking. No, the football stadium's distance north of Emiliano (in feet) is not always proportional to the number of seconds Emiliano has been walking. No, Emiliano's distance south of the football stadium (in feet) is always smaller than the number of seconds elapsed since he started walking.
Note: If you receive partial credit on this question, you selected an answer that, while not incorrect, is not the BEST answer as it is vague and lacks important details.

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Problem 2482

Emiliano is standing next to a football stadium when he began walking south from the football stadium at a constant speed of 5 feet per second. As Emiliano walks south from the football stadium, is his distance south of the football stadium proportional to the time elapsed since he started walking away from the football stadium? Select the BEST answer. Yes, the football stadium's distance north of Emiliano (in feet) is always the same number of times as large as the number of seconds Emiliano has been walking. Yes, Emiliano's distance south of the football stadium is related to the time elapsed since he started walking. No, Emiliano's distance south of the football stadium (in feet) is not always proportional to the number of seconds hithas been walking. No, Emiliano's distance south of the football stadium (in feet) is always larger than the number of seconds elapsed since he started walking. No, the football stadium's distance north of Emiliano (in feet) is not always proportional to the number of seconds Emiliano has been walking. No, Emiliano's distance south of the football stadium (in feet) is always smaller than the number of seconds elapsed since he started walking.
Note: If you receive partial credit on this question, you selected an answer that, while not incorrect, is not the BEST answer as it is vague and lacks important details.

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Problem 2483

The ratio of the sums of the sides of a triangle taken two at a time is 19:26:27. Find the ratio of the circumradius to the inradius of the triangle
Marks:3.0 Negative Marks:1.0

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Problem 2484

Ecco i risultati di una raccolta di mele. a) Quante mele ha raccolto Laura? b) Quante Franco? c) E quante Filippo? \begin{tabular}{|l|l|} \hline Laura & \\ \hline Franco & \\ \hline Ramona & \\ \hline Filippo & \\ \hline Fabio & \\ \hline \end{tabular} =20=20 mele

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Problem 2485

Ecco i voti ottenuti da quattro studenti in dieci prove di matematica successive. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|} \hline Andrea & 7 & 8 & 6 & 7 & 5 & 7 & 7 & 8 & 6 & 6 \\ \hline Barbara & 5 & 4 & 6 & 5 & 5 & 4 & 6 & 6 & 7 & 6 \\ \hline Carlo & 5 & 4 & 4 & 5 & 4 & 6 & 6 & 5 & 5 & 5 \\ \hline Elisa & 8 & 7 & 7 & 7 & 6 & 8 & 8 & 8 & 9 & 7 \\ \hline \end{tabular} a) Disegna per ogni ragazzo un istogramma che rappresenti i suoi voti. b) Quali saranno i commenti del professore sul rendimento scolastico dei quattro ragazzi?

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Problem 2486

7-7. OpenSeas, Inc. is evaluating the purchase of a new cruise ship. The ship would cost $500\$ 500 million, and would operate for 20 years. OpenSeas expects annual cash flows from operating the ship to be $70\$ 70 million (at the end of each year) and its cost of capital is 12%12 \%. a. Prepare an NPV profile of the purchase. b. Estimate the IRR (to the nearest 1\%) from the graph. c. Is the purchase attractive based on these estimates? d. How far off could OpenSeas' cost of capital be (to the nearest 1%1 \% ) before your purchase decision would change?

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Problem 2487

(b) limxx2+x+1(3x+2)2\quad \lim _{x \rightarrow \infty} \frac{x^{2}+x+1}{(3 x+2)^{2}}

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Problem 2488

Graph units are in meters.
What is the distance to the hole for the player who is farthest from the hole? Round the final answer to the nearest tenth of a meter. Do not round intermediate calculations.

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Problem 2489

Use the graph of y=6xy=6^{x} to sketch the graph of f(x)=6x+4f(x)=6^{x}+4 using techniques of transformation.
Use the graphing tool to graph the function.
Click to enlarge graph

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Problem 2490

In the game of roulette, a player can place a $4\$ 4 bet on the number 4 and have a 138\frac{1}{38} probability of winning. If the metal ball lands on 4 , the player gets to keep the $4\$ 4 paid to play the game and the player is awarded an additional $140\$ 140. Otherwise, the player is awarded nothing and the casino takes the player's $4\$ 4. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose?
The expected value is $\$ \square . (Round to the nearest cent as needed.) The player would expect to lose about $\$ \square (Round to the nearest cent as needed.)

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Problem 2491

Is there a doctor in the house? A market research firm reported the mean annual earnings of all family practitioners in the United States was $178,258\$ 178,258. A random sample of 43 family practitioners in Los Angeles had mean earnings of xˉ=$193,010\bar{x}=\$ 193,010 with a standard deviation of $42,777\$ 42,777. Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles is greater than the national average? Use the α=0.05\alpha=0.05 level of significance and the PP-value method with the T1-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:μ=178,258H1:μ>178,258\begin{array}{l} H_{0}: \mu=178,258 \\ H_{1}: \mu>178,258 \end{array}
This hypothesis test is a \square right-tailed test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=2.26t=2.26
Part 3 of 5 (c) Compute the PP-value. Round the answer to at least four decimal pla P-value =0.014P \text {-value }=0.014 \square
Part: 3/53 / 5
Part 4 of 5 (d) Determine whether to reject H0H_{0}. (Choose one) \nabla the null hypothesis H0H_{0}.

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Problem 2492

Big babies: The National Health Statistics Reports described a study in which a sample of 332 one-year-old baby boys were weighed. Their mean weight was 25.5 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys differs from 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the α=0.01\alpha=0.01 level of significançe and the PP-value method with the TI-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:μ=25H1:μ25\begin{array}{l} H_{0}: \mu=25 \\ H_{1}: \mu \neq 25 \end{array}
This hypothesis test is a two-tailed t\quad \boldsymbol{t} test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=1.72t=1.72
Part: 2/52 / 5
Part 3 of 5 (c) Compute the PP-value. Round the answer to at least four decimal places. P-value =P \text {-value }=\square

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Problem 2493

2m ب الإزاحة ؟؟ * 5m 2m >

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Problem 2494

Commuting to work: A community survey sampled 1923 people in Colorado and asked them how long it took them to commute to work each day. The sample mean one-way commute time was 25.2 minutes with a standard deviation of 13 minutes. A transportation engineer claims that the mean commute time is greater than 25 minutes. Do the data provide convincing evidence that the engineer's claim is true? Use the α=0.10\alpha=0.10 level of significance and the PP-value method with the TI-84 Plus calculator.
Part: 0/50 / 5
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:H1:\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}
This hypothesis test is a \square (Choose one) test.

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Problem 2495

Commuting to work: A community survey sampled 1923 people in Colorado and asked them how long it took them to commute to work each day. The sample mean one-way-commute time was 25.2 minutes with a standard deviation of 13 minutes. A transportation engineer claims that the mean commute time is greater than 25 minutes. Do the data provide convincing evidence that the engineer's claim is true? Use the α=0.10\alpha=0.10 level of significance and the PP-value method with th TI-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:μ=25H1:μ>25\begin{array}{l} H_{0}: \mu=25 \\ H_{1}: \mu>25 \end{array}
This hypothesis test is a right-tailed \square test.
Part: 1/51 / 5
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=t=\square

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Problem 2496

3. The above diagram shows a cross section of a hemispherical bowl of radius 8 cm . Water is poured into the bowl such that the height, h cmh \mathrm{~cm}, of the water increases at a rate of 0.2 cm/s0.2 \mathrm{~cm} / \mathrm{s}. (a) Show that the area of the surface of the water, A cm2A \mathrm{~cm}^{2} is given by A=π(16hh2).A=\pi\left(16 h-h^{2}\right) . [3 marks] (b) Find the rate of increase of AA when hh is 6 cm . [4 marks]

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Problem 2497

9 A curve has equation y=x33x210xy=x^{3}-3 x^{2}-10 x. Find the xx-coordinates of the points on the curve where the gradient is -1 . (4)
0 (a) Show that the straight line with equation y=3x+8y=3 x+8 is a tangent to the circle (x1)2+(y1)2=10(x-1)^{2}+(y-1)^{2}=10 and determine the coordinates of the point of contact (b) Does the straight line with equation y=2x10y=2 x-10 intersect the circle?
Explain
Two straight lines have equations 2x+3y9=02 x+3 y-9=0 and 3x2y+43 x-2 y+4 respectively. Show that these lines are perpendicular
Determine the range of values of kk for which the equation x2+2kx+2k1=0x^{2}+2 k x+2 k-1=0 has two distinct roots (4)

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Problem 2498

Determine whether the zz-test or the tt-test should be performed, or whether a statistician should be consulted. Part 1 of 3
A simple random sample of size 33 has mean xˉ=14.3\bar{x}=14.3 and the standard deviation is s=1.9s=1.9. Can you conclude that the population mean is less than 10 ?
The population standard deviation (Choose one) \boldsymbol{\nabla} known. The sample size nn (Choose one) \boldsymbol{\nabla} greater than 30. The correct decision is to (Choose one)
Part 2 of 3
A simple random sample of size 33 has mean xˉ=41.8\bar{x}=41.8. The population standard deviation is σ=3.72\sigma=3.72. The population is normally distributed. Can you conclude that the population mean differs from 40?
The population standard deviation \square (Choose one) known.
The sample size nn \square (Choose one) greater than 30.
The correct decision is to (Choose one) \square .
Part 3 of 3
A simple random sample of size 15 has mean xˉ=7.26\bar{x}=7.26. The population standard deviation is σ=3.72\sigma=3.72. The population is not approximately normal. Can you conclude that the population mean differs from 9 ?
The population standard deviation (Choose one) known. The sample size nn (Choose one) \nabla greater than 30. \square The population (Choose one) \boldsymbol{\nabla} approximately normal. The correct decision is to (Choose one) \square

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Problem 2499

Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720 . She finds that a random sample of 50 people had a mean FICO score of 707 with a standard deviation of 79 . Can the economist conclude that the mean FICO score is less than 720? Use the α=0.10\alpha=0.10 level of significance and the PP-value method with the TI-84 Plus calculator.
Part: 0/50 / 5 \square
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:H1:\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}
This hypothesis test is a (Choose one) \boldsymbol{\nabla} test. \square

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Problem 2500

Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720 . She finds that a random sample of 50 people had a mean FICO score of 707 with a standard deviation of 79 . Can the economist conclude that the mean FICO score is less than 720 ? Use the α=0.10\alpha=0.10 level of significance and the PP-value method with the TI-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:μ=720H1:μ<720\begin{array}{l} H_{0}: \mu=720 \\ H_{1}: \mu<720 \end{array}
This hypothesis test is a left-tailed \nabla test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=1.16t=-1.16
Part: 2/52 / 5
Part 3 of 5 (c) Compute the PP-value. Round the answer to at least four decimal places. P-value =P \text {-value }=\square

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