Model

Problem 2601

High LDL cholesterol increases heart disease risk. Write a linear inequality for optimal levels (x<100x < 100). Choose the correct option.

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Problem 2602

Determine the inequality for LDL cholesterol levels in the near optimal/above optimal category: 100x127100 \leq x \leq 127.

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Problem 2603

Determine the inequality for very high LDL cholesterol: A. x188x \geq 188, B. x188x \leq 188, C. x187x \geq 187, D. 187x200187 \leq x \leq 200.

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Problem 2604

Find the slope-intercept form of the line through (8,7)(-8,7) with slope 34\frac{3}{4}.

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Problem 2605

Gas company charges: (a) Cost for 30 therms? (b) Cost for 200 therms? (c) Model function C(x)C(x). (d) Graph C(x)C(x).

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Problem 2606

Find the charges for using 30 and 200 therms, and create a function C(x)C(x) for the monthly charge.

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Problem 2607

Find (f+g)(x)(f+g)(x) for f(x)={5x+4 if x<2,x2+4x if x2}f(x)=\{5 x+4 \text{ if } x<2, x^{2}+4 x \text{ if } x \geq 2\} and g(x)={3x+1 if x0,x7 if x>0}g(x)=\{-3 x+1 \text{ if } x \leq 0, x-7 \text{ if } x>0\}.

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Problem 2608

Terri's function machine gives outputs: 3 → 8, 10 → 29, 20 → 59. Find outputs for 5, -1, and xx; also, write the equation.

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Problem 2609

The equation for Rodolpho's gas card balance after tt weeks is: B(t)=14035tB(t) = 140 - 35t.

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Problem 2610

In 2014, taxes were \$2.36 trillion and population was 316 million. Find tax per citizen in scientific notation.

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Problem 2611

Estimate the total cost of six grocery items priced at \$10.92, \$11.83, \$0.12, \$7.64, \$0.77, and \$13.45 by rounding. Total estimate: \$\square.

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Problem 2612

Find the function (gfh)(x)(g \circ f \circ h)(x) for f(x)=4x6f(x)=4x-6, g(x)=x3g(x)=x^3, and h(x)=x4h(x)=\sqrt[4]{x}.

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Problem 2613

The ticket cost for Riverdance is \$40 each.
(a) Define cost function C(x)C(x) for xx tickets. (b) Write total cost T(a)T(a) with 3.5% tax and \6fee.(c)Evaluate6 fee. (c) Evaluate (T \circ C)(x).(d)Find. (d) Find (T \circ C)(4)$ and explain its meaning.

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Problem 2614

Find functions ff and gg where h(x)=(fg)(x)h(x)=(f \circ g)(x), f(x)g(x)xf(x) \neq g(x) \neq x, and h(x)=(x+3)2h(x)=(x+3)^{2}.

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Problem 2615

Find the function (s+t)(x)(s+t)(x) for s(x)=x2x225s(x)=\frac{x-2}{x^{2}-25} and t(x)=x52xt(x)=\frac{x-5}{2-x}. Write the domain in interval notation.

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Problem 2616

Find the functions for the diameter d(r)d(r) and radius r(d)r(d) of a sphere given the volume V(r)=43πr3V(r)=\frac{4}{3} \pi r^{3}.

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Problem 2617

Find (s+t)(x)(s+t)(x) for s(x)=x3x236s(x)=\frac{x-3}{x^2-36} and t(x)=x63xt(x)=\frac{x-6}{3-x}; state the domain in interval notation.

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Problem 2618

A rabbit population grows at 7%7\% monthly. If there are 260 rabbits now, how many will there be in a year? Use y=260(2.7)0.07ty=260(2.7)^{0.07 t}.

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Problem 2619

Find the slope-intercept equation of a line through (3,7)(3,7) parallel to y=35x+4y=\frac{3}{5}x+4, then for the perpendicular line.

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Problem 2620

Model the egg production data with a linear function using points (1994, 51.7) and (1998, 60.4). Predict production in 2000.

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Problem 2621

www-awu.aleks.com Content Aaleks Blackboard Content A ALEKS - Jonathan Ve... A ALEKS - Jonathan Ve... knicks - Google Sear... Homework \#5: 9(1,3,4,5) 14(1,2) Question 3 of 30 (1 point) I Question Attempt: 1 of 3 Jonathan 1\checkmark 1 2\checkmark 2 3 4. 5 6 7 8 9 10 11 12
A certain model of car can be ordered with either a large or small engine. The mean number of miles per gallon for cars with a small engine is 7.5 . An automotive engineer thinks that the mean for cars with the larger engine is lower than this. State the appropriate null and alternate hypotheses.
The null hypothesis is H0:μH_{0}: \mu (Choose one) \square .
The alternate hypothesis is H1:μH_{1}: \mu \square (Choose one) \square

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Problem 2622

Consider the graph shown. a. Select the best possible wording for the situation depicted in the given graph: Ida sells 5 boxes of cookies to family members, and for every door she knocks on in her neighborhood, she sells another 1 boxes of cookies. Ida sells 6 boxes of cookies for every door in her neighborhood that she knocks on. Ida's own family bought 1 boxes of cookies, and for every door in her neighborhood Ida knocks on to sell cookies, she sells 5 additional boxes of cookies. Ida sold \1ofcookiestofamilymembers,andforeverydoorinherneighborhoodsheknockson,shemakesanother$5sellingcookies.b.Howdoweknow,basedonthegivengraph,thattherelationbetweenthenumberofdoorsIdaknockson,andthenumberofboxesofcookiesshesells,isalinearfunction?Becausethegraphisastraightline(orcontainspointsthatarearrangedinastraightline)andpassestheverticallinetest.Itsimpossibletotellfromlookingatthegraphthatitrepresentsalinearfunction.Becauseonthegraph,the1 of cookies to family members, and for every door in her neighborhood she knocks on, she makes another \$5 selling cookies. b. How do we know, based on the given graph, that the relation between the number of doors Ida knocks on, and the number of boxes of cookies she sells, is a linear function? Because the graph is a straight line (or contains points that are arranged in a straight line) and passes the vertical line test. It's impossible to tell from looking at the graph that it represents a linear function. Because on the graph, the y-values increase from left to right. Because the graph has units labeled on both axes. c. Fill in the given table with the correct missing values. \begin{tabular}{|c|c|} \hlinex (number of doors Ida knocks on) & y (total number fo boxes of cookies Ida sells) \\ \hline 0 & \square \\ \hline 1 & \square \\ \hline 5 & \\ \hline\square \\ \hline \end{tabular} d. Write the linear function relating the number of doors Ida knocks on, x,tothetotalnumberofboxesofcookiesshesells,, to the total number of boxes of cookies she sells, y . y= \square$

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Problem 2623

Derive a rule for estimating the "years to triple"-that is, the number of years it would take for the general levels of prices to triple for a given annual inflation rate.
Let the annual inflation rate be the numerical part of the rate written as a percentage. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest whole number as needed.) A. years to triple =10ln3 annual inflation rate  annual inflation rate =\frac{10 \ln 3}{\text { annual inflation rate }} \approx \frac{\square}{\text { annual inflation rate }} B. years to triple =100ln3 annual inflation rate  annual inflation rate =\frac{100 \ln 3}{\text { annual inflation rate }} \approx \frac{\square}{\text { annual inflation rate }} C. years to triple =ln3 annual inflation rate  annual inflation rate =\frac{\ln 3}{\text { annual inflation rate }} \approx \frac{\square}{\text { annual inflation rate }} D. years to triple = annual inflation rate ln3 annual inflation rate =\frac{\text { annual inflation rate }}{\ln 3} \approx \frac{\text { annual inflation rate }}{\square} E. years to triple = annual inflation rate 100ln3 annual inflation rate =\frac{\text { annual inflation rate }}{100 \ln 3} \approx \frac{\text { annual inflation rate }}{\square} F. years to triple = annual inflation rate 10ln3 annual inflation rate =\frac{\text { annual inflation rate }}{10 \ln 3} \approx \frac{\text { annual inflation rate }}{\square}

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Problem 2624

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

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Problem 2625

Question 5 of 10
Write an equation in vertex form of the parabola that has the same shape as the graph of f(x)=8x2f(x)=8 x^{2} or g(x)=8x2g(x)=-8 x^{2}, but with the given maximum or minimum. Maximum =7=7 at x=5x=-5

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Problem 2626

The growth of the number of bacteria in a certain population is modeled by a function that increases exponentially over time: Which of the following could describe how the number of bacteria in the population changes each hour? (A) Each hour, the number of bacteria in the population is 16%16 \% greater than it was the previous hour. (B) Each hour, the number of bacteria in the population is 1,600 greater than was the previous hour. (C)
Each hour, the number of bacteria in the population is 1,600 less than it was the previous hour. (D)
Each hour, the number of bacteria in the population is 16%16 \% less than it was the previous hour.

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Problem 2627

HW9.5. Frictional Force between Tires and the Road
A racecar of mass mm is driving around a horizontal circular track of radius RR at constant speed vv. The frictional force between the tires of the racecar and the road is at its maximum value.
Write the expression to find the value of the coefficient of friction between the tires and the road in terms of the mass mm, velocity vv, radius RR, and the acceleration of free-fall gg.
Note that it may not be necessary to use every variable. Use the following table as a reference for each variable: For Use m m vvv \mathrm{v} RR R g gg \quad \mathrm{~g}

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Problem 2628

Write down, but do not solve, an equation that correctly states the following relationship. Use xx to represent the unknown quantity.
The sum of the distance driven on Wednesday and 234 is 579. \square

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Problem 2629

30. (III) For two blocks, connected by a cord and sliding down the incline shown in Fig. 5-40 (see Problem 29), describe the motion (a)(a) if μA<μB\mu_{\mathrm{A}}<\mu_{\mathrm{B}}, and (b)(b) if μA>μB\mu_{\mathrm{A}}>\mu_{\mathrm{B}}. (c) Determine a formula for the acceleration of each block and the tension FTF_{\mathrm{T}} in the cord in terms of mA,mBm_{\mathrm{A}}, m_{\mathrm{B}}, and θ\theta; interpret your results in light of your answers to (a)(a) and (b)(b)

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Problem 2630

46. (II) Is it possible to whirl a bucket of water fast enough in a vertical circle so that the water won't fall out? If so, what is the minimum speed? Define all quantities needed.

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Problem 2631

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.  Slope =14, passing through (9,1)\text { Slope }=-\frac{1}{4}, \text { passing through }(9,-1)
Write an equation for the line in point-slope form. \square (Simplify your answer. Use integers or fractions for any numbers in the equation.) Write an equation for the line in slope-intercept form. \square (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 2632

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through (3,2)(-3,-2) and (2,3)(2,3)
What is the equation of the line in point-slope form? \square (Simplify your answer. Use integers or fractions for any numbers in the equation.) What is the equation of the line in slope-intercept form? \square (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 2633

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through (9,6)(9,-6) and perpendicular to the line whose equation is y=15x+5y=\frac{1}{5} x+5
Write an equation for the line in point-slope form. \square (Simplify your answer. Use integers or fractions for any numbers in the equation.) Write an equation for the line in slope-intercept form. \square (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 2634

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (6,1)(-6,1) and parallel to the line whose equation is 5x2y3=05 x-2 y-3=0
The equation of the line in point-slope form is \square (Type an equation. Use integers or fractions for any numbers in the equation.) The equation of the line in general form is \square =0=0. (Type an expression using xx and yy as the variables. Simplify your answer. Use integers or fractions for

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Problem 2635

To graph the function g(x)=f(x+1)+4 g(x) = -f(x+1) + 4 , use the graph of y=f(x) y = f(x) provided.

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Problem 2636

Write the standard form of the equation of the circle with the given center and radius. Center (5,7),r=8(-5,7), r=8
Type the standard form of the equation of the circle. (Simplify your answer.)

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Problem 2637

Graph the logarithmic function. g(x)=3log1/3xg(x)=3 \log _{1 / 3} x
Plot two points on the graph of the function, and also draw the asymptote. Then click on the

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Problem 2638

Draw a line that has the indicated slope and yy-intercept. slope =32=\frac{3}{2} and yy-intercept (0,5)(0,-5)
Use the graphing tool on the right to draw the line.
Click to enlarge graph

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Problem 2639

A new television show debuts amid great fanfare, and attracts 14 million viewers for the first episode. The number of viewers for subsequent episodes is shown in the table. \begin{tabular}{|c|c|} \hline Episode \# & \begin{tabular}{c} Viewers \\ (millions) \end{tabular} \\ \hline 1 & 13.9 \\ \hline 2 & 11.1 \\ \hline 3 & 8.8 \\ \hline 4 & 8 \\ \hline 5 & 7.2 \\ \hline 6 & 8.1 \\ \hline 7 & 8.1 \\ \hline 8 & 7.8 \\ \hline 9 & 7.7 \\ \hline \end{tabular}
Use a graphing calculator to find a line of best fit for the data. Round to four decimal places.
Rounding to four decimal places, the line of best fit for the data is y=y= \square x+x+ \square .

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Problem 2640

Mary's TV uses a perpetual inventory system. The following are three recent merchandising transactions: Mar. 6 Purchased eight TVs from Whosa Industries on account. Invoice price, $350\$ 350 per unit, for a total of $2,800\$ \mathbf{2 , 8 0 0}. The terms of purchase were 2/10, n/30\mathbf{2 / 1 0 , ~} \mathbf{n} / \mathbf{3 0}. Mar. 11 Sold two of these televisions for $600\mathbf{\$ 6 0 0} cash. Mar. 16 Paid the account payable to Whosa Industries within the discount period. Instructions a. Prepare journal entries to record these transactions assuming that Mary's records purchases of merchandise at:
1. Net cost
2. Gross invoice price b. Assume that Mary's did not pay Whosa Industries within the discount period but instead paid the full invoice price on April 6. Prepare journal entries to record this payment assuming that the original liability had been recorded at:
1. Net cost
2. Gross invoice price c. Assume that you are evaluating the efficiency of Mary's bill-paying procedures. Which accounting method-net cost or gross invoice priceprovides you with the most useful information? Explain.

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Problem 2641

1. Khorshid factory produces two producers) A B) and the working hours in this factory are equivalent to 8 hours divided into producers and raw materials available 18 tons, if you know that product AA needs one hour of working hours and 2 kilos of raw materials while product BB needs one hour of work and 3 kilos of raw materials and the profit return from product A$2A \$ 2 while the profit return from product B$3B \$ 3.
Required
1. Define the profit function.
2. Define limitations.
3. Draw the solution area.
4. Select Solution points.
5. Find the productive mix that maximizes profits from the two commodities.
6. Determine the type of relationship between the two products.

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Problem 2642

السؤال: تعمل شركة "النور" في بيع الأجهزة الإلكترونية، وقد أنهت سنتها المالية في ال ديسمبر. وطلب منك إعداد التسويات الجردية التالية بناءً على المعلومات المتوفرة. صبانة لبعض العملاء بقبمة . . , , د دينار، ولم يتم إصدار فو انثر بها أو تحصبلها حتى الآن.
المصروفات المستحقة: الشركة لديها مصروفات كهرباء وماء متر اكمة لم يتم دفعها حتى نهاية العام بقيمة • ٢, • دينار .
الإبر ادات المقدمة: كانت الشركة قد حصلت على دفعة مقدمة من أحد العملاء بقيمة . . , , . د دينار مقابل نوريد أجهزة سينم تسليمها في العام المقبل.
المصروفات المدفو عة مقدماً: في ابوليو، قامت الشركة بدفع إيجار مقدم لمدة سنة كاملة بقيمة . . . 7, دينار.
اهلاك الأصول الثابتة: تمنالك الشركة معدات تبلغ فيمتها . . ., . 0 دينار، ويقدر العمر الإنتاجي لهذه المعدات بـ • ( سنوات بدون فيمة متبقية.
المطلوب: إعداد قيود النسويات الجردية اللازمة لكل حالة.

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Problem 2643

courses Chapter 12: Homework
Question 1 of 10
ViewPolicies
Current Attempt in Progress Each of these items must be considered in preparing a statement of cash flows for Irvin Co. for the year ended December 31, 2027. For each item, state how it should be shown in the statement of cash flows for 2027. (a) Issued bonds for $200,000\$ 200,000 cash. (b) Purchased equipment for $180,000\$ 180,000 cash. (c) Sold land costing $20,000\$ 20,000 for $20,000\$ 20,000 cash. (d) Declared and paid a $50,000\$ 50,000 cash dividend.

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Problem 2644

11. Provide a trigonometric equation. Considering only the space between x=0x=0 and 2π2 \pi, the equation must only have solutions at x=1x=1 and x=2x=2. Explain your thought process and the work you did to create the equation. You may round decimal values to 3 places. [ 6 marks]

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Problem 2645

Write an equation (any form) for the quadratic graphed below y=y=\square

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Problem 2646

Question 10
A population numbers 14,000 organisms initially and decreases by 9%9 \% each year. A) Suppose PP represents population, and tt the number of years of decrease. Write an exponential model to represent this situation. P=P= B) What will the population PP be in 13 years? Round to two decimal places. P=P= Question Help: Video 1 Video 2 Message instructor Post to forum Submit Question

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Problem 2647

- ? ! ? << 3 8 0 5 0 0 6 << 3 8 8 5 5 8 8 0 0 \begin{tabular}{ll} I & 8 \\ \hdashline & 3 \end{tabular} : § (5) ? 00\stackrel{0}{0} ? -1 \square -

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Problem 2648

Graph f(x)=x28x+15f(x)=x^{2}-8 x+15 below by first selecting the correct shape, clicking the vertex, then clicking an xx-Intercept. Clear All Draw:

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Problem 2649

Problem 4: (6 points) Determine a Horton equation to fit the following times and infiltration capacities. \begin{tabular}{|lc|} \hline \begin{tabular}{l} Time \\ (hr)(\mathbf{h r}) \end{tabular} & \begin{tabular}{c} f\boldsymbol{f} \\ (in./hr)(\mathbf{i n} . / \mathrm{hr}) \end{tabular} \\ \hline 1 & 6.34 \\ 2 & 5.20 \\ 6.5 & 2.50 \\ \infty & 1.20 \\ \hline \end{tabular}

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Problem 2650

Write the equation for the graph.
The correct equation is y=1y=-1

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Problem 2651

9. (II) Estimate the work you do to mow a lawn 10 m by 20 m with a 50cm50-\mathrm{cm}-wide mower. Assume you push with a horizontal force of about 15 N .

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Problem 2652

Question 11 (1 point) A research lab recorded the radioactive decay of a 120 mg sample of uranium-239. The data table shows the amount of uranium-239 remaining at various times. \begin{tabular}{|c|c|c|c|c|c|} \hline Minutes & 0 & 30 & 60 & 90 & 120 \\ \hline \begin{tabular}{c} Amount of \\ Uranium (mg) \end{tabular} & 120.0 & 49.5 & 20.4 & 8.4 & 3.5 \\ \hline \end{tabular} a) Create a scatter plot, and draw a curve of best fit for the data using exponential regression. b) Use your graph to estimate the half-life of uranium-239.

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Problem 2653

Find functions ff and gg so that fg=Hf \circ g=H. H(x)=(6x+1)9H(x)=(6 x+1)^{9}
Choose the correct pair of functions. A. f(x)=x9,g(x)=6x+1f(x)=x^{9}, g(x)=6 x+1 c. f(x)=6x+1,g(x)=x9f(x)=6 x+1, g(x)=x^{9} B. f(x)=x16,g(x)=x9f(x)=\frac{x-1}{6}, g(x)=\sqrt[9]{x} D. f(x)=x9,g(x)=x16f(x)=\sqrt[9]{x}, g(x)=\frac{x-1}{6}

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Problem 2654

Example. AA sinusoidal function has an amplitude of 2 units, a period of 180180^{\circ} and a maximum at (0,3)(0,3). Write a possible equation for this function.

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Problem 2655

BOOKMARK CHECK ANSWER 呂 Q α\alpha \equiv 8 CHLOEDON
Write the equation of a line that goes through the points (5,6)(-5,6) and (10,6)(10,-6). The final answer should be in Slope intercep

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Problem 2656

The graph shows the number of views yy (in thousands) for a new online video, tt days after it was posted. Use transformations on a parent function to model these data. Españo
Number of Views by Day Number tt - Day Number yy - Number of Views (1000s) Basic Functions Quadratic function: y=t2y=t^{2} Square root function: y=ty=\sqrt{t} Absolute value function: y=ty=|t| Reciprocal function: y=1ty=\frac{1}{t}
Steps for Graphing Multiple Transformations of Functions To graph a function requiring multiple transformations, use the following order.
1. Horizontal translation (shift)
2. Horizontal and vertical stretch and shrink
3. Reflections across the xx - and yy-axis.
4. Vertical translation (shift) Save For Later Submit Assignment

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Problem 2657

Español
Suppose that the function gg is defir g(x)={3 if x<10 if x=11 if x>1g(x)=\left\{\begin{array}{cl} -3 & \text { if } x<-1 \\ 0 & \text { if } x=-1 \\ 1 & \text { if } x>-1 \end{array}\right.
Graph the function gg.

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Problem 2658

Score: 1/2 Penalty: none Linear Functions Complete: 50\%
Question Show Examples near Graph in Context (MC)
Nora needs to lease out a music studio to record her new album. The studio charges an initial studio-use fee of $100\$ 100 plus an hourly fee of $50\$ 50. Write an equation for PP, in terms of tt, ation Given Linear Situation representing the amount of money Nora would have to pay to use the studio for tt hours. inear Function Coefficients Iation)

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Problem 2659

\begin{problem} A plane flying at an altitude of 4 miles travels on a path directly over a radar tower.
(a) Express the distance d(t)d(t) (in miles) between the plane and the tower as a function of the angle tt in standard position from the tower to the plane.
d(t)=cscsin[ d(t) = \square \csc \square \square \sin [ \end{problem}

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Problem 2660

Assume that life insurance covers a period of nn years from the moment the contract is signed. If the insured person dies during this period, the so-called sum insmed is paid. If death does not occur during this time, the contract ends without any payout. Suppose that the premium for this msurance is calculated as 101%101 \% of the expected value of the payout. Find the formula for the preminm if the insured person's lifetime is a random variable with an exponential distribution with parameter λ>0\lambda>0, and the sum insured is

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Problem 2661

Find the regression equation, letting the first variable be the predictor (x)(x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 34 years. Is the result within 5 years of the actual Best Actor winner, whose age was 51 years? Use a significance level of 0.05 . \begin{tabular}{cllllllllllll} \hline BestActress & 27 & 32 & 30 & 59 & 34 & 33 & 43 & 28 & 63 & 21 & 45 & 55 \\ Best Actor & 44 & 37 & 40 & 44 & 51 & 48 & 60 & 49 & 40 & 54 & 45 & 33 \\ \hline \end{tabular}
Find the equation of the regression line. y^=53.3+(201)x\hat{y}=53.3+(-201) x (Round the yy-intercept to one decimal place as needed. Round the slope to three decimal places as needed) The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 34 years is \square years old. (Round to the nearest whole number as needed.)

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Problem 2662

18 Write the equation of the line in slope-intercept form with the following slope and y-intercept: m=52\mathrm{m}=\frac{5}{2} yy-intercept =(0,2)=(0,-2) \square

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Problem 2663

Create a frequency distribution for 30 screw lengths starting at 3.220in3.220 \mathrm{in} with a width of 0.010in0.010 \mathrm{in}.

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Problem 2664

Create a frequency distribution for screw lengths (30 values) between 3.220 and 3.260 inches, with a class width of 0.010 inches.

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Problem 2665

Convert the hyperbola equation 16x2+y2+128x272=0-16x^{2}+y^{2}+128x-272=0 to standard form and graph it.

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Problem 2666

If 15 boys finish work in 60 days, how many boys are needed for the same work in 20 days?

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Problem 2667

Divide 72 in the ratio of 5:75:7.

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Problem 2668

Find the inequality for the number of toy cars xx Mr. Schwartz can build before having fewer than 40 wheels: 854x<4085 - 4x < 40.

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Problem 2669

Given k=2nk=2^{n}, find 16n16^{n} in terms of kk and express 32n-32^{n} and 64n64^{-n} using kk.

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Problem 2670

Estimate the number of employees out of 600 who read at least one book each month if xx out of 50 do.

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Problem 2671

A biologist tagged 168 fish, then caught 201 fish later, finding 22 tagged. Estimate the total fish using proportions.

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Problem 2672

Graph the function f(x)=(x1)2+7f(x)=(x-1)^{2}+7 using its vertex and yy-intercept to find the range.

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Problem 2673

Write a linear equation for total cost yy with xx guests, given shelter cost is \$40 and ice cream is \$9 per guest.

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Problem 2674

Find the line equation through (4,1)(-4,1) that is perpendicular to 3x+4y=9-3x + 4y = 9.

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Problem 2675

Find the weight range ww for a healthy BMI (19-25) at heights: (a) 75 in., (b) 74 in., (c) 78 in. Round to nearest lb.

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Problem 2676

Write an equation for "The sum of a number and 5 is -25" and solve for xx. What is the equation?

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Problem 2677

Find the weight range ww for a healthy BMI (19-25) using BMI=704×weightheight2 \mathrm{BMI}=\frac{704 \times \text{weight}}{\text{height}^2} for heights: 75 in, 74 in, 78 in.

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Problem 2678

Find the weight range ww (to nearest pound) for a healthful BMI (19-25) using BMI=704×(weight)(height)2BMI=\frac{704 \times(\text{weight})}{(\text{height})^2}. Heights: (a) 66 in, (b) 78 in, (c) 73 in.

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Problem 2679

Bestimmen Sie die Funktionsgleichungen für die angegebenen Punkte und Extrempunkte bei ganzrationalen Funktionen.

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Problem 2680

Write the inequality for y<5y < -5.

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Problem 2681

Find the equation of the line through (2,3)(-2,3) and perpendicular to 5xy=125x - y = 12. Choose from the options.

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Problem 2682

1. Define Q={m,v,c}Q = \{m, v, c\}.
2. {4,7}={7,4}\{4, 7\} = \{7, 4\}.
3. {4,7}⊄{1,4,5}\{4, 7\} \not\subset \{1, 4, 5\}.

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Problem 2683

Rewrite the following using math symbols: a. Q={m,v,c}Q=\{m,v,c\}; b. {4,7}={7,4}\{4,7\}=\{7,4\}; c. {4,7}{1,4,5}\{4,7\} \nsubseteq \{1,4,5\}.

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Problem 2684

Draw Utah to scale on paper, where 1 cm = 50 miles. Find Utah's length and width in miles first.

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Problem 2685

Find the equation of a line in point-slope form that passes through (5,3)(5,-3) with a slope of 12-\frac{1}{2}.

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Problem 2686

Find the equation of a line in point-slope form with slope 16\frac{1}{6} through the point (10,2)(10,2).

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Problem 2687

Find the equation of a line in point-slope form with slope -4 through the point (3,8)(-3,8). Simplify all fractions.

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Problem 2688

Find the equation of a line with slope 6 that passes through the point (6,8)(6,8) in point-slope form.

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Problem 2689

Find the equation of the line in point-slope form with point (9,9)(-9,9) and slope 16\frac{1}{6}.

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Problem 2690

Create a frequency distribution for screw lengths: 3.720 to 3.770, class width 0.010. Follow these steps: 1. Find range. 2. Divide range by classes. 3. Determine class limits. 4. Tally lengths. 5. Count lengths in each class.

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Problem 2691

Pete has xx mice. After getting 4 more, he has x+4x + 4. Mal has x+415x + 4 - 15. If Mal has 10 mice, find xx.

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Problem 2692

Write an absolute value inequality for the RDI of 800mg800 \mathrm{mg} with a variation of ±80mg\pm 80 \mathrm{mg}.

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Problem 2693

Express the RDI of a supplement (800mg800 \mathrm{mg}) with a variation of ±80mg\pm 80 \mathrm{mg} using an absolute value inequality. Solve it.

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Problem 2694

Give the equation of the line graphed below.

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Problem 2695

For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 5 hours.
Write the claim as a mathematical statement. A. μ>5\mu>5 B. μ5\mu \leq 5 C. μ5\mu \geq 5 D. μ<5\mu<5 E. μ5\mu \neq 5 F. μ=5\mu=5
Choose the correct null and alternative hypotheses below. A. H0:μ5H_{0}: \mu \neq 5 B. H0:μ=5H_{0}: \mu=5 C. H0:μ5H_{0}: \mu \geq 5 Ha:μ=5H_{a}: \mu=5 Ha:μ5H_{a}: \mu \neq 5 Ha:μ<5H_{a}: \mu<5 D. H0:μ5H_{0}: \mu \leq 5 E. H0:μ>5H_{0}: \mu>5 Ha:μ>5H_{a}: \mu>5 Ha:μ5H_{a}: \mu \leq 5 F. H0:μ<5\mathrm{H}_{0}: \mu<5 Ha:μ5H_{a}: \mu \geq 5

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Problem 2696

The price of a certain object was $12.50\$ 12.50 in 1995 and $15.50\$ 15.50 in 2001. Assume that the price has been increasing at a constant rate since 1990.
Determine the rate of change in the price of the object, that is, how much the price increases each year. Do not round your answer. \square Write an equation to model the price of the object over time, with yy representing the price of the object in dollars, and xx representing the number of years since 1990. Write your final answer in the form y=mx+by=m x+b. (You may use the point-slope form to help you find the equation.) \square Looking at your equation, what was the price of the object in the year 1990? If necessary, round to your answer to two decimal places. \ \squareHowmuchdoestheobjectcostnow,in2024?$ How much does the object cost now, in 2024? \$ \square$

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Problem 2697

A car traveling on cruise control on an interstate highway passes mile marker 100, 1.5 hours after getting on the highway. Then, 2.5 hours after getting on the highway, the same car passes mile marker 160.
What is the car's constant speed? \square miles per hour Write a linear equation modeling the car's travels, with yy representing the mile marker the car will have passed after xx hours on the highway. Write your final answer in y=mx+by=m x+b form. (You may start from the point-slope form to find your equation.) \square

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Problem 2698

Graphing rational functions with holes
Graph the rational function. f(x)=3x215xx27x+10f(x)=\frac{3 x^{2}-15 x}{x^{2}-7 x+10}
Start by drawing the asymptotes (if there are any). Then plot two points on each piece of the graph. Finally, click on the graph-a-function button. Be sure to plot a hollow dot wherever there is a "hole" in the graph.

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Problem 2699

Write a system of linear equations represented by the augmented matrix. Give your answer in standard form using the variables xx and yy. The equations in the system should be in the same order as the rows in the given'augmented matrix. [483159]\left[\begin{array}{cc:c} -4 & 8 & 3 \\ -1 & 5 & 9 \end{array}\right]
System of Equations:

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Problem 2700

Write a system of linear equations represented by the augmented matrix. Give your answer in standard form using the variables x,yx, y, and zz. The equations in the system should be in the same order as the rows in the given augmented matrix. [185701590015]\left[\begin{array}{ccc:c} 1 & 8 & 5 & -7 \\ 0 & 1 & 5 & 9 \\ 0 & 0 & 1 & 5 \end{array}\right]
System of Equations:

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