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Problem 11501

Kim made 1141 \frac{1}{4} quarts of smoothie, drank 15\frac{1}{5} of it, and her brothers had 13\frac{1}{3} quart each. How many brothers?

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Problem 11502

Survey 116 students on news sources: 41 use websites, 55 social media, 8 both. Create a Venn diagram and find cardinalities.

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Problem 11503

Simplify 5(6x+17y9z)5(6 x+17 y-9 z) and find the equivalent expression from the options provided.

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Problem 11504

Which equations equal 4(2+10)4(2+10)? Choose all that apply: (1) 6+466+46, (ii) 6+6c6+6c, (c) 8×408 \times 40, (11) 8+408+40, (1) (4×2)+(4×16)(4 \times 2)+(4 \times 16), (1) (4×2)×(4×10)(4 \times 2) \times(4 \times 10).

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Problem 11505

5. Finn bought 12 movie tickets. Student tickets cost $4\$ 4, and adult tickets cost $8\$ 8. Finn spent a total of $60\$ 60. Write and graph a system of equations to find the number of student and adult tickets Finn bought. Lesson 5-2 x+y=124x+8y=60\begin{array}{l} x+y=12 \\ 4 x+8 y=60 \end{array}
6. What value of mm gives the system infinitely many solutions? Lesson 5-1 x+4y=32y=mx+8\begin{array}{l} -x+4 y=32 \\ y=m x+8 \end{array}

Types of Movie Tickets

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Problem 11506

The graph of g(z)g(z), shown below, is obtainad by transtorming the graph of f(x)f(x). f(x)=(x+1)2+9f(x)=-(x+1)^{2}+9 a) In the space below, describe a sequence of transformations that would transform the graph of y=f(x)y=f(x) into the graph of y=g(x)y=g(x). Your answers below wiv nor be auto-graded \square b) In the space below, state the equation of g(x)g(x), both in terms ai f(x)f(x) and in terms of xx. In terms of f(x):g(x)=f(x): g(x)= \square in terms of xg(x)=x g(x)= \square c) A new function h(x)h(x) is obtained by reflecting the groph of g(x)g(x) (the green graph) about the line y=xy=x. Describe the transformation \square d) Stote the domain ond range of h(x)h(x) in interval notation \square D. \square

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Problem 11507

Which of the following is/are True? The level of significance of a test depends on the value of the sample statistic. The level of significance depends on the alternative hypothesis. The level of significance is generally set in advance before samples are drawn The level of significance is the probability of rejecting a null hypothesis when it is in fact true.

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Problem 11508

Security Inc. is looking for a security officer responsible for the protection and safety of assets, properties, personnel, customers, and all visitors in various client establishments. To evaluate their applicants, some of the following variables were observed: VV - whether or not he/she has been issued firearm, tear gas, and baton permits E - highest educational attainment (elementary, highschool, college) X - maximum weight of objects he/she can lift, carry, or push (in pounds) Y - number of past employment related to security service Z - whether or not his/her driver's license has been denied/suspended in the past 3 years
The level of measurement of variables YY and ZZ are \qquad and \qquad , respectively. ratio, ordinal interval, nominal interval, ordinal Ratio, nominal

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Problem 11509

Which of the following is(are) TRUE about a normal random variable?
1. Its distribution is symmetric about the median
2. The probability that the random variable is greater than its mode is zero Neither 1 nor 2 1 only Both I and 2 2 only

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Problem 11510

For log514\log _{5} 14, (a) Estimate the value of the logarithm between two consecutive integers. For example, log27\log _{2} 7 is between 2 and 3 because 22<7<232^{2}<7<2^{3}. (b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places. (c) Check the result by using the related exponential form.
Part: 0/30 / 3
Part 1 of 3 (a) Estimate the value of the logarithm between two consecutive integers. <log514<\square<\log _{5} 14<\square

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Problem 11511

7 of 7
Determine which of the following infinite geometric series have a finite sum. ।. 4+5+254+4+5+\frac{25}{4}+\ldots II. 7+143289+-7+\frac{14}{3}-\frac{28}{9}+\ldots III. 121+2+\frac{1}{2}-1+2+\ldots IV. 4+85+1625+4+\frac{8}{5}+\frac{16}{25}+\ldots I, III only II, IV only III only I, II, IV only

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Problem 11512

tanθ=sin2θtanθ+sin2θtanθ\tan \theta = \sin^2 \theta \tan \theta + \frac{\sin^2 \theta}{\tan \theta}

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Problem 11513

竣, What type of solutions does this equation have? v211=11v^{2}-11=-11
䯚 two imaginary solutions no solutions two real solutions one real solution Submit

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Problem 11514

Which set of angles has the same terminal arm as 4040^{\circ} ? A) 400,760,1120400^{\circ}, 760^{\circ}, 1120^{\circ} B) 220,400,580220^{\circ}, 400^{\circ}, 580^{\circ} C) 80,120,20080^{\circ}, 120^{\circ}, 200^{\circ} D) 130,220,310130^{\circ}, 220^{\circ}, 310^{\circ}
Question 7 (1 point) \checkmark Saved
In which quadrants are the sine ratios negative values? 2 and 4 3 and 4 1 and 3 None of the options 1 and 2 Question 8 (1 point) Saved

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Problem 11515

A rectangular bird feeder costs $18.00\$ 18.00. A cylindrical bird feeder costs $24.00\$ 24.00. The expected cost to keep the rectangular bird feeder filled is $3.00\$ 3.00 per week. The expected cost to keep the cylindrical bird feeder filled is $2.00\$ 2.00 per week. The equation models the break-even point. 18+3x=24+2x18+3 x=24+2 x
What does xx represent? the total cost to fill the rectangular bird feeder the total cost to fill the cylindrical bird feeder after the number of weeks the after any number of weeks any number of weeks bird feeders are filled YY the number of bird feeders purchased each week

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Problem 11516

Ten balls numbered from 1 to 10 are placed into a bag. Some are grey and some are white. The balls numbered 1,3,5,7,8,91,3,5,7,8,9, and 10 are grey. The balls numbered 2,4 , and 6 are white. A ball is selected at random. Let XX be the event that the selected ball is white, and let P(X)P(X) be the probability of XX.
Let not XX be the event that the selected ball is not white, and let PP (not XX ) be the probability of not XX. (a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow{2}{*}{Event} & \multicolumn{10}{|c|}{Outcomes} & \multirow[b]{2}{*}{Probability} \\ \hline & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & \\ \hline X & - & 10 & C & 7 & 4 & ( & 0 & 4 & 0 & 0 & P(X)=P(X)=\square \\ \hline not X & 0 & T & 0 & \% & 4 & (1) & ( & th & \% & 4 & P(notX)=P(\operatorname{not} X)=\square \\ \hline \end{tabular} (b) Subtract. 1P(X)=1-P(X)= \square

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Problem 11517

\#2: Find the domain of the function f(x)=Ln(4x2)f(x)=\operatorname{Ln}\left(4-x^{\wedge} 2\right). (2 Points)

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Problem 11518

6. Which is colder: a temperature of 2F-2^{\circ} \mathrm{F} or 1F-1^{\circ} \mathrm{F} ? Justify your answer.

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Problem 11519

Follow the seven step strategy to graph the following rational function. f(x)=1x24f(x)=-\frac{1}{x^{2}-4}
Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to comple A. The equation(s) of the vertical asymptote(s) is/are x=2,x=2x=2, x=-2. (Type an equation. Use a comma to separate answers as needed.) B. There is no vertical asymptote.
Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to comp A. The equation(s) of the horizontal asymptote(s) is/are y=0\mathrm{y}=0. (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote.
Plot points between and beyond each xx-intercept and vertical asymptote. Find the value of the function at the giver x f(x)=1x24f(x)=-\frac{1}{x^{2}-4} 74\begin{array}{ll}-7 & -4\end{array} 0 4 7 \square \square \square \square \square (Simplify your answers.)

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Problem 11520

smaller humber than-l. Use the number line to complete parts (a)-(d). Write the nuthber that represents the phi Then determine which point on the number line corresponds to that number.
A loss of 7 Z
A gain of 7 W 3 greater than 0 xx less than 0

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Problem 11521

(127)(0.1)7(0.9)5\binom{12}{7}(0.1)^{7}(0.9)^{5}

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Problem 11522

webassign.net/web/Student/Assignment-Responses/submit?pos=2\&dep=36054629\&tags=autosave"question4777717_2 Points] DETAILS MY NOTES SCALCET9 6.1.018. etch the region enclosed by the given curves. Decide whether to integrate with respect to xx or yy. Draw a typical approximating rectangle. PREVIOUS ANSWERS ASK YOUR 2x+y2=48,x=y2 x+y^{2}=48, x=y
Find the area of the region.

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Problem 11523

The equation 7(w3)=70-7(w-3)=70 is solved in several steps below. For each step, choose the reason that best justifies it. \begin{tabular}{|c|l|} \hline Step & Reason \\ \hline7(w3)=70-7(w-3)=70 & Given equation \\ \hline7(w3)7=707\frac{-7(w-3)}{-7}=\frac{70}{-7} & "Choose one" \\ \hlinew3=10w-3=-10 & "Choose one" \\ \hlinew3+3=10+3w-3+3=-10+3 & \begin{tabular}{l} Sddition Property of Equality \\ Subtraction Property of Equality \\ Multiplication Property of Equality \\ Division Property of Equality \\ Simplifying \end{tabular} \\ \hline & \begin{tabular}{l} Distributive Property \end{tabular} \\ \hline \end{tabular}

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Problem 11524

The equation 7(w3)=70-7(w-3)=70 is solved in several steps below. For each step, choose the reason that best justifies it. \begin{tabular}{|c|l|} \hline Step & Reason \\ \hline7(w3)=70-7(w-3)=70 & Given equation \\ \hline7(w3)7=707\frac{-7(w-3)}{-7}=\frac{70}{-7} & "Choose one" \\ \hlinew3=10w-3=-10 & "Choose one" \\ \hlinew3+3=10+3w-3+3=-10+3 & "Choose one" \\ \hlinew=7w=-7 & "Choose one" \\ \hline \end{tabular}

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Problem 11525

ollow the seven step strategy to graph the following rational function. f(x)=2x2x21f(x)=\frac{2 x^{2}}{x^{2}-1}
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 xx-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 0. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is no xx-intercept.
Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation(s) of the vertical asymptote(s) is/are \square 7. (Type an equation. Use a comma to separate answers as needed.) B. There is no vertical asymptote.

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Problem 11526

ALGEBRA I-B-TORRES (LMS) 3-1: MathXL for School: Additional Practice (LMS graded) DUE Dec 2 - 11:59 pm Part 1 of 2
Use set-builder notation to describe the domain and range of the function.
Describe the domain of the function. If multiple correct answers are possible, use the narrowest possible answer. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. {xx\{x \mid x is an odd integer and \square x\leq x \leq \square B. {xx<\{x \mid x< \square C. {xx\{x|x\rangle \square D. {xx\{x \mid x is an integer and \square x\leq x \leq \square \}
Help me solve this View an example Get more help - Clear all Check answer Review Progress Question 1 of 6 Back Next Type here to search 71F Clear 837 PM 12/2/2024

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Problem 11527

Based solely on the information given, do you have reason to question the results of the following hypothetical study? Explain your reasoning.
A study by a conservative foundation is designed to assess a new Democratic spending plan.
Is there reason to question the results? Select all that apply. A. Yes, there is reason. It makes sense that a Democratic spending plan would be studied by a conservative foundation. B. Yes, there is reason. There is a possibility of bias in the study. C. No, there is not reason. The goal of the study is clear. D. No, there is not reason. There is no bias in the study. E. Yes, there is reason. The variables that were measured are not identified. F. No, there is not reason. It is unlikely that there are any confounding variables in the study.

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Problem 11528

"ints A. Assessmentic 1 For a school celebration, Principal Johnson purchased a large sheet cake that was cut into 100 pieces. She kept 8 pieces for the office staff and divided the remaining pieces equally among the 4 fifth-grade classes. The shaded diagram below shows the part of the cake that was given to the classes.
Which equation shows the part of the cake each class received? (A) 100÷4=25100 \div 4=25 (B) 0.92÷4=0.230.92 \div 4=0.23 (c) 0.08÷4=0.020.08 \div 4=0.02 (D) 0.92÷4=230.92 \div 4=23

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Problem 11529

Find two numbers aa and bb such that the following system of linear equations is consistent dependent. {ax5y=b4x+3y=6\left\{\begin{array}{r} a x-5 y=b \\ -4 x+3 y=6 \end{array}\right.
Note that the ALEKS graphing calculator may be helpful in checking your answer. a=a= \square b=b=

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Problem 11530

lect the expressions that are equivalent to (5k+3)+(6k+3)(-5 k+3)+(6 k+3) (6k+3)+(5k+3)6k+3+5k+35k+6k+6\begin{array}{c} (6 k+3)+(-5 k+3) \\ 6 k+3+-5 k+3 \\ -5 k+6 k+6 \end{array} k+6k+6

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Problem 11531

Shown below are the scatter plots for four data sets. Answer the questions that follow.
Figure 1 Figure 2 Figure 3 Figure 4 \begin{tabular}{|l|l|} \hline (a) Which data set appears to show a nonlinear \\ relationship between its two variables? & (Choose one) \\ \hline \begin{tabular}{l} (b) Which data set appears to show a positive linear \\ relationship between its two variables? \end{tabular} & (Choose one) \\ \hline Try again data set appears to show a negative & \\ \hline \end{tabular}

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Problem 11532

Listen
Identify the graph of h(x)=x+4h(x)=\sqrt{x}+4.
Determine when the function is positive, negative, increasing, or decreasing and describe the end behavior of the function.
The function is \square over the interval and over \square

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Problem 11533

Find the slope and the yy-intercept of the line. y=5x4y=5 x-4 slope:
Undefined y-intercept: \square

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Problem 11534

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 55 people had a mean FICO score of 685 with a standard deviation of 80 . 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 \square (Choose one) test. \square Skip Part Check Save For Later Submit Assignment

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Problem 11535

Consider the function h(x)=12x22x+2h(x)=-\frac{1}{2} x^{2}-2 x+2
What is the vertex of hh ? \square What is the equation of the line of symmetry of hh ? \square hh has a Select an answer \square of \square The xx-intercept(s) of hh is/are \square The yy-intercept of hh is \square
Graph h(x)h(x)
Clear All Draw:

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Problem 11536

5. 343x3+64343 x^{3}+64

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Problem 11537

Question 2 (1 point) Which graph of the following trigonometric functions has no zeros? a) y=secxy=\sec x b) y=cosxy=\cos x c) y=tanxy=\tan x d) y=cotxy=\cot x

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Problem 11538

Identify the intercepts for the graph below. Do NOT write as a point. yy intercept == \square 00^{\circ} xx intercept == \square

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Problem 11539

Question 8 Given that f(x)=x2+4x5f(x)=x^{2}+4 x-5 find the domain of y=1f(x)y=\frac{1}{f(x)} 1) x0x \neq 0 (2) x5x \neq-5 and x1x \neq 1 3x=53 x=-5 and x=1x=1 4xR4 \quad x \in \mathbb{R} Answer saved

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Problem 11540

1. [-/1 Points] DETAILS MY NOTES LARCALCPRECALC3 2.2.026. ASK YOUR TEACHER PRACTICE ANOTHER
Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.) f(x)=3x59x+4.5f(x)=3 x^{5}-9 x+4.5 The graph rises to the right. The graph falls to the right. The graph rises to the left. The graph falls to the left. Need Help? Read It Submit Answer

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Problem 11541

a) What does the differential equation y(x)=7y(x)y^{\prime}(x)=-7 * y(x) tell us about the graph of yy against xx (the conventional way to plot xx and yy )? (Clear my choice) The slope of yy against xx is always -7 times the yy-coordinate. The slope of yy against xx is always -7 times the xx-coordinate. The rate of change of xx is always -7 times the xx-coordinate. The slope of yy against xx is always -7 The slope of yy against xx is always 1/7-1 / 7 times the yy-coordinate.

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Problem 11542

3. [-/1 Points] DETAILS MY NOTES LARCALCPRECALC3 2.2.034. ASK YOUR TEACHER
Use a graphing utility to graph the functions ff and gg in the same viewing window. Zoom out sufficiently far to determine if the right-hand and left-hand behaviors of ff and gg appear identical. f(x)=3x46x2,g(x)=3x4f(x)=3 x^{4}-6 x^{2}, \quad g(x)=3 x^{4} Yes No Need Help? Read It Submit Answer

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Problem 11543

2 You give a delivery driver $15.50\$ 15.50 for a pizza that costs $12.50\$ 12.50. You tell the driver to keep the change as a tip. Is the tip more than or less than 20%20 \% ? \qquad

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Problem 11544

d. find AA PDE by etiminations aa and bb from the fff f equation a,z=ax+a2y2+ba, \quad z=a x+a^{2} y^{2}+b b. z=axex+1/2a2e24+bz=a x e^{x}+1 / 2 a^{2} e^{24}+b

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Problem 11545

When solving for the value of xx in the equation 4(x1)+3=184(x-1)+3=18, Aaron wrote the following lines on the boarc [line 1] 4(x1)+3=184(x-1)+3=18 [line 2] 4(x1)=154(x-1)=15 [line 3] 4x1=154 x-1=15 [line 4] 4x=164 x=16 [line 5] x=4x=4
Which property was used incorrectly when going from line 2 to line 3 ? 1) distributive 3) associative 2) commutative 4) multiplicative inverse

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Problem 11546

(2 points) Let f(x)=x39x2+14f(x)=x^{3}-9 x^{2}+14 a. Find the critical numbers of ff : \square (Separate multiple answers by commas.) b. Determine the intervals on which ff is increasing and decreasing. Help entering intervals ff is increasing on: \square ff is decreasing on: \square c. Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. (Separate multiple answers by commas, if there is no answer enter "none".)
Relative maxima occur at x=x= \square Relative minima occur at x=x= \square

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Problem 11547

5. [-/7 Points] DETAILS MY NOTES LARCALCPRECALC3 2.2.044.
Consider the following. f(x)=x4x356x2f(x)=x^{4}-x^{3}-56 x^{2} (a) Find all the real zeros of the polynomial function. x= (smallest value) x= (largest value) x=\begin{array}{l} x=\square \text { (smallest value) } \\ x=\square \text { (largest value) } \\ x=\square \end{array} (b) Determine the multiplicity of each zero and the number of turning points of the graph of the function. - Select- - Select- (smallest xx-value) - Select (largest xx-value)
The number of turning points is \square -Select-- \checkmark Need Help? Read It

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Problem 11548

2uestion 5 (1 point) The height, hh, in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function h(t)=18sin(50πt)+18h(t)=18 \sin (50 \pi t)+18, where tt is the time, in seconds. What is the period? a) 50 s b) 0.04 cm c) 25 s d) 0.04 s

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Problem 11549

Question 8 (1 point) Determine the amplitude of the sinusoidal function y=3sin[2(xπ3)]+1y=-3 \sin \left[2\left(x-\frac{\pi}{3}\right)\right]+1. a) 2 b) -3 c) π3\frac{\pi}{3} d) 3

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Problem 11550

- Student A drives a car and hits other causes a loss of \12,000Theinsurancefeaturesareasfollwing.1.Ifdriverhitsothersonpurpose,nopayment.2.Otherwises,themaximumis12,000 - The insurance features are as follwing. - 1.If driver hits others on purpose, no payment. - 2. Otherwises, the maximum is \9,000 9,000 - 3. The customer should pay $1,200\$ 1,200 from their own pocket. - 4. The copayment rate is 16%16 \%. - How much can A claim from insurance company?

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Problem 11551

y=6(21)+26y=6(2-1)+26
10. (Calculator Active) After a large snow storm, snow is plowed into a large mound to the side of a parking lot. As the snow melts, the amount of snow remaining can be modeled by S(t)=562e0.5tS(t)=562 e^{-0.5 t} where tt is measured in days. After 7 days, the amount of snow remaining is better estimated by the linear approximation to SS at t=7t=7 days. Use this linear approximation to SS to estimate the amount of snow remaining att =8=8 days.

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Problem 11552

There is a pair of xx and yy values that make each equation true in this system of equations: {5x+3y=84x+7y=34\left\{\begin{array}{l} 5 x+3 y=8 \\ 4 x+7 y=34 \end{array}\right.
Explain why the same pair of values also make 9x+10y=429 x+10 y=42 true.

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Problem 11553

Question 19 (1 point) The height, hh, in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function h(t)=18sin(50πt)+18h(t)=18 \sin (50 \pi t)+18, where tt is the time, in seconds. What is the piston's minimum height? a) -18 cm b) 18 cm c) 0 cm d) 9 cm

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Problem 11554

Question 22 (1 point) The height, hh, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t)=16cos(πt120)+18h(t)=16 \cos \left(\frac{\pi t}{120}\right)+18, where tt is the time, in seconds. What is the radius of the Ferris wheel? a) 16 m b) 8 m c) 9 m d) 18 m

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Problem 11555

Question Watch Video Show Examples
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=28(1.01)xy=28(1.01)^{x} Answer Attempt 2 out of 2

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Problem 11556

LARCALCPRECALC3 2.2.030.
Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.) f(s)=56(s3+7s29s+6)f(s)=-\frac{5}{6}\left(s^{3}+7 s^{2}-9 s+6\right) The graph rises to the right. The graph falls to the right. The graph rises to the left. The graph falls to the left.

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Problem 11557

\begin{tabular}{|c|c|c|} \hline & 2027 & 2026 \\ \hline Current assets & & \\ \hline Cash & \$107,600 & \$95,900 \\ \hline Accounts receivable & 78,400 & 89,400 \\ \hline Inventory & 167,800 & 172,100 \\ \hline Prepaid expenses & 26,800 & 22,000 \\ \hline Total current assets & \$380,600 & \$379,400 \\ \hline Current liabilities & & \\ \hline Accrued expenses payable & \$15,800 & \$8,600 \\ \hline Accounts payable & 84,900 & 95,500 \\ \hline Total current liabilities & \$100,700 & \$104,100 \\ \hline \end{tabular}
Prepare the operating activities section of the company's statement of cash flows for the year ended December 31, 2027, using the indirect method. (Show amounts that decrease cash flow with either a-sign e.g. 15,000-15,000 or in parenthesis e.g. (15,000).)

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Problem 11558

```latex \text{Eleanna}
\text{Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard deviation of 25. A pollster draws a sample of 90 people to interview.}
\text{Part 1 of 5}
\text{(a) What is the probability that the sample mean income is less than 36? Round the answer to at least four decimal places.}
\text{The probability that the sample mean income is less than 36 is 0.0643.}
\text{Part 2 of 5}
\text{(b) What is the probability that the sample mean income is between 37 and 43? Round the answer to at least four decimal places.}
\text{The probability that the sample mean income is between 37 and 43 is 0.7458.}
\text{Part 3 of 5}
\text{(c) Find the 10th10^{\text{th}} percentile of the sample mean. Round the answer to at least one decimal place.}
\text{The 10th10^{\text{th}} percentile of the sample mean is 36.6.}
\text{Part 4 of 5}
\text{(d) Would it be unusual for the sample mean to be less than 37? Round the answer to at least four decimal places.}
\text{It \square (Choose one) unusual because the probability of the sample mean being less than 37 is \square.} ```

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Problem 11559

Consider the following. f(x)=x4x356x2f(x)=x^{4}-x^{3}-56 x^{2} (a) Find all the real zeros of the polynomial function. x=7x=0x=8x= (largest value) \begin{array}{ll} x=-7 \\ x=0 \\ x=8 & \\ x= & \text { (largest value) } \end{array} - (largest value) (b) Determine the multiplicity of each zero and the number of turning points of the graph of the fur multiplicity 11 \sim multiplicity 22 \checkmark multiplicity 11 \sim (smallest xx-value) (largest xx-value)

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Problem 11560

A fast-food restaurant runs a promotion in which certain food items come with game pieces. According to the restaurant, 1 in 4 game pieces is a winner.
If Jeff keeps playing until he wins a prize, what is the probability that he has to play the game exactly 5 times? (0.75)5(0.75)^{5} (0.25)5(0.25)^{5} (0.75)4(0.75)^{4} (51)(0.75)4(0.25)\binom{5}{1}(0.75)^{4}(0.25) (0.75)4(0.25)(0.75)^{4}(0.25)

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Problem 11561

3. A table of selected values is given for a one-to-one function, gg. What is g1(1)g^{-1}(1) ? \begin{tabular}{c|cccccc} xx & -4 & -2 & 0 & 1 & 5 & 8 \\ \hlineg(x)g(x) & 10 & 8 & -3 & -1 & -4 & 1 \end{tabular}

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Problem 11562

f the Millers spend $1000\$ 1000 on housing each month, hen what is their total monthly budget? \square

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Problem 11563

Question
Determine whether Rolle's Theorem applies to the given function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. f(x)=x(x4)2;[0,4]f(x)=x(x-4)^{2} ;[0,4]
Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are c=c= \square (Type exact answer(s). Use a comma to separate answers as needed.) B. Rolle's Theorem does not apply.

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Problem 11564

7. The area of the trapezoid is 40 square millimeters. a. Find two possible values for each base length. b. Is it possible for b2b_{2} to equal 9 millimeters? Explain.

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Problem 11565

Let R be the region bounded by the given curves y=x28x+16,y=2x+4,x=2, and x=4. If the line x=k divides R into two regions of equal area, find the value of k.\text{Let } R \text{ be the region bounded by the given curves } y = x^2 - 8x + 16, \, y = -2x + 4, \, x = 2, \text{ and } x = 4. \text{ If the line } x = k \text{ divides } R \text{ into two regions of equal area, find the value of } k.

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Problem 11566

Tell which property of equality was used. 53=318w53×61=(318w)×61\begin{aligned} 53 & =\frac{318}{w} \\ 53 \times 61 & =\left(\frac{318}{w}\right) \times 61 \end{aligned}
Choose the correct answer below. Multiplication Property of Equality Subtraction Property of Equality Addition Property of Equality Division Property of Equality

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Problem 11567

Question 8, 1.7.1-10 Points: 0 of 1
Match each inequality below with its equivalent interval notation.
1. x<2x<-2
2. x2x \leq 2
3. 6<x2-6<x \leq 2
4. x20x^{2} \geq 0
5. x2x \geq-2
6. 2x2 \leq \mathrm{x} 7. 8. 9. (,)(-\infty, \infty) [2,)[-2, \infty) (,2](-\infty, 2] (,2](-\infty,-2] (6,2](-6,2] [2,)[2, \infty) (,2)(-\infty,-2) (0,7)(0,7) [6,2)[-6,2) (,6)(2,)(-\infty,-6) \cup(2, \infty)

Drag the equivalent interval notation above to the matching inequality below. 1. 9. 2. \square 10. \square
3. \square 4. 4.

U
5. \square 6.
7. \square S

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Problem 11568

\begin{tabular}{|c|c|c|c|c|} \hline Labor Demand Data & Labor Supply Data & \multicolumn{3}{|c|}{,} \\ \hline Employment & Toatal Product & Product Price & Employment & Wage Rate \\ \hline 0 & 0 & \$2.20 & 0 & - \\ \hline 1 & 15 & 2.00 & 1 & \$1.00 \\ \hline 2 & 28 & 1.80 & 2 & 2.00 \\ \hline 3 & 39 & . 1.60 & 3 & 3.00 \\ \hline 4 & 48 & 1.40 & 4 & 4.00 \\ \hline 5 & 55 & 1.20 & 5 & 5.00 \\ \hline 6 & 60 & 1.00 & 6 & 6.00 \\ \hline \end{tabular}
The table shows labor demand data on the left and labor supply data on the right. How many workers will this profit-maximizing firm choose to employ? (A) 5 (B) 3 (C) 4 (D) 6

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Problem 11569

The relationship between miles and kilometers is shown in the table below. \begin{tabular}{|c|c|} \hline Miles & Kilometers \\ \hline 18.2 & 29.12 \\ \hline 29.5 & 47.20 \\ \hline 34.1 & 54.56 \\ \hline 52.8 & 84.48 \\ \hline \hline \end{tabular}
How many miles are in 19.08 kilometers? 11.925 17.48 20.68 30.528

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Problem 11570

To test H0:μ=50\mathrm{H}_{0}: \mu=50 versus H1:μ<50\mathrm{H}_{1}: \mu<50, a random sample of size n=22\mathrm{n}=22 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail. (a) If xˉ=47.5\bar{x}=47.5 and s=10.3s=10.3, compute the test statistic. t0=t_{0}= \square (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the α=0.05\alpha=0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given.
Critical Value: \square (Round to three decimal places. Use a comma to separate answers as needed.) (c) Draw a t-distribution that depicts the critical region. Choose the correct answer below. A. B. c. (d) Will the researcher reject the null hypothesis? A. Yes, because the test statistic falls in the critical region. B. Yes, because the test statistic does not fall in the critical region. Time Remaining: 01:33:36 Submit quiz

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Problem 11571

Find the intervals on which ff is concave upward/downward, and find the coordinates of the point of inflection if exists. (b) f(x)=ln(x2+1)f(x)=\ln \left(x^{2}+1\right)

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Problem 11572

The operations manager of a company hired a consultant to look for possible ways to improve workers' productivity. The plan recommended by the consultant was applied to a sample of workers, whose mean productivity was compared with their mean productivity before the plan was implemented. The resulting p-value was 0.15 . Based on this result, which would be the correct conclusion and course of action? the p -value is less than or equal to the significance level. There is insufficient sample evidence showing that the recommended plan increases workers' productivity. The plan should not be implemented without additional study A paired sample dd test should be applied inthis case. There is sufficient sample evidence showing that the recommended plan increases workers' productivity. The plan should be implemented to include all workers

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Problem 11573

Identify each of the following as acidic, basic, or neutral:
1. a solution where the H3O+\mathrm{H}_{3} \mathrm{O}^{+}concentration is greater than the OH\mathrm{OH}^{-}concentration [ Select ]
2. a solution that is 0.25 M NaOH [ Select ]
3. a solution that is 1.0 M HCl [ Select ]
4. a solution that has a pH of 10 [Select]
5. a solution of NaCl [ Select]

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Problem 11574

? Course Help Problem Value: 1 point(s). Problem Score: 0\%. Attempts Remaining: 8 attempts. (1 point) Consider the function f(x)=6x+36x1f(x)=\frac{6 x+3}{6 x-1}
Enter the equations of the vertical asymptotes. If there are no vertical asymptotes, enter none. If there is more than one vertical asymptote, enter a list of the equations separated by a comma (e.g., x=20,x=7x=20, x=-7 ).
Vertical asymptotes: \square Find the xx-intercept(s). If there is more than one xx-intercept give a list of the xx-intercepts separated by commas (i.e.: (1,2),(3,4))(1,2),(3,4)). If there is no xx-intercept type in none. xx-intercepts: \square Find the yy-intercept: \square Find the domain of f(x)f(x) : \square Give your answer in interval notation.

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Problem 11575

Determine if the graph can represent a polynomial function. If so, assume that the end behavior and all turning points are represented in the graph.

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Problem 11576

A sinusoidal wave is traveling on a string with speed 107 cm/s107 \mathrm{~cm} / \mathrm{s}. The displacement of the particles of the string at x=16 cmx=16 \mathrm{~cm} is found to vary with time according to the equation y=(1 cm)sin[0.84(5.6 s1)t]y=(1 \mathrm{~cm}) \sin \left[0.84-\left(5.6 \mathrm{~s}^{-1}\right) t\right]
The linear density of the string is 1.8 g/cm1.8 \mathrm{~g} / \mathrm{cm}. What are (a) the frequency and (b) the wavelength of the wave? If the wave equation is of the form y(x,t)=ymsin(kxωt),y(x, t)=y_{m} \sin (k x-\omega t), what are (c) ymy_{m}, (d) kk, and (e) ω\omega, and (f) the correct choice of sign in front of ω\omega ? (g) What is the tension in the string?

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Problem 11577

Select the correct answer. A. Pt=PoektP_{t}=P_{o} e^{k t} B. Pt=P0ektP_{t}=P_{0} e^{-k t} C. y=Ae(xb)2cy=A e^{\frac{-(x-b)^{2}}{c}} D. P1=M1+CektP_{1}=\frac{M}{1+C e^{k t}}
Which model does the graph represent? A. A B. B C. C D. D

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Problem 11578

8. Find the inverse of f(x)=4x6f(x)=4^{x}-6 a. f1(x)=log4(x)+6f^{-1}(x)=\log _{4}(x)+6 b. f1(x)=log4(x+6)f^{-1}(x)=\log _{4}(x+6) c. f1(x)=6log4xf^{-1}(x)=6 \log _{4} x d. f1(x)=logx+64f^{-1}(x)=\log _{x+6} 4

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Problem 11579

Determine the type of correlation represented in the scatter plot below.
Answer Attempt 1 out of 5
The graph shows Submit Answer

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Problem 11580

In a poll of 510 human resource professionals, 45.9%45.9 \% said that body piercings and tattoos were big personal grooming red flags. Complete parts (a) through (d) below. a. Among the 510 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal grooming red flags? \square (Round to the nearest integer as needed.) b. Construct a 99\% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags. \square <p<<p< \square (Round to three decimal places as needed.) c. Repeat part (b) using a confidence level of 80%80 \%. \square < <<<< \square (Round to three decimal places as needed.) d. Compare the confidence intervals from parts (b) and (c) and identify the interval that is wider. Why is it wider? proportion. proportion. proportion. proportion.

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Problem 11581

5(9w3)811(8v+10)\begin{array}{|c|c|c|} \hline -5(9w-3) & 8 & 11(8v+10) \\ \hline \end{array}

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Problem 11582

\begin{tabular}{|c|c|c|c|c|} \hline So & Fr & So & Jr & So \\ \hline Jr & So & Jr & Sr & So \\ \hline Sr & Sr & Jr & Fr & Fr \\ \hline Sr & Sr & So & Sr & So \\ \hline \end{tabular}
Complete the frequency table. Round the relative frequencies to 2 decimal places as needed. \begin{tabular}{|c|l|} \hline Class rank & Frequency \\ \hline Freshmen & \square \\ \hline Sophomores & \square \\ \hline Juniors & \square \\ \hline Seniors & \square \\ \hline \end{tabular} Submit Question

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Problem 11583

CPS Apps WordCounter - Cou... Initial Knowledge Check Question 20
The scores on a test for a sample of 41 statistics students are summarized in the following table. \begin{tabular}{|c|c|} \hline Number of students & Score \\ \hline 10 & 90 \\ \hline 19 & 80 \\ \hline 12 & 70 \\ \hline \end{tabular}
Find the mean score. Round your answer to at least one decimal place. \square

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Problem 11584

Problem 33 Let XX and YY be two random variables. Suppose that σX2=4\sigma_{X}^{2}=4, and σY2=9\sigma_{Y}^{2}=9. If we know that the two random variables Z=2XYZ=2 X-Y and W=X+YW=X+Y are independent, find Cov(X,Y)\operatorname{Cov}(X, Y) and ρ(X,Y)\rho(X, Y).

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Problem 11585

Let xx be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the xx distribution is μ=7,4+A\mu=7,4+A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that xˉ=8.6\bar{x}=8.6 with sample standard deviation s=3.1s=3.1. Use a 5%5 \% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. Ω\Omega USE SALT (a) What is the level of significance? \square State the null and alternate hypotheses. (Enter !=!= for \neq as needed.) H0\mathrm{H}_{0} : \square H1H_{1} : \square (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. We'll use the Student's tt, since the sample size is large and σ\sigma is unknown. We'll use the standard normal, since the sample size is large and σ\sigma is unknown. We'll use the standard normal, since the sample size is large and σ\sigma is known. We'll use the Student's tt, since the sample size is large and σ\sigma is known.
Compute the appropriate sampling distribution value of the sample test statistic. (Round your answer to two decimal places.) \square

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Problem 11586

A survey of 470 juniors at a university were asked about their living arrangements and their exercise habits. \begin{tabular}{|l|c|c|c|c|} \hline & No Regular Exercise & Sporadic Exerclse & Regular Exercise & Total \\ \hline Dormitory & 32 & 30 & 28 & 90 \\ \hline On-Campus Apartment & 74 & 64 & 42 & 180 \\ \hline Off-Campus Apartment & 110 & 25 & 15 & 150 \\ \hline At Home & 39 & 6 & 5 & 50 \\ \hline Total & 255 & 125 & 90 & 470 \\ \hline \end{tabular}
Find the expected value for the cell "Sporadic Exercise/Off-Campus Apartment". 997.34 564 391.67 39.89

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Problem 11587

A survey of 470 juniors at a university were asked about their living arrangements and their exercise habits. \begin{tabular}{|l|c|c|c|c|} \hline & No Regular Exercise & Sporadic Exerclse & Regular Exercise & Total \\ \hline Dormitory & 32 & 30 & 28 & 90 \\ \hline On-Campus Apartment & 74 & 64 & 42 & 180 \\ \hline Off-Campus Apartment & 110 & 25 & 15 & 150 \\ \hline At Home & 39 & 6 & 5 & 50 \\ \hline Total & 255 & 125 & 90 & 470 \\ \hline \end{tabular}
The expected value for students who lived at home and exercised regularly": E=\mathrm{E}= 9.57. What does it mean? The number of students (on average) who lived at home and exercised regularly is 9.57, assuming that living arrangements and exercise habits are independent. The number of students (on average) who lived at home and exercised regularly is 9.57, assuming that living arrangements and exercise habits are dependent. The number of students (on average) who lived at home and exercised regularly is 9.57 , assuming that living arrangements are independent. The number of students (on average) who lived at home and exercised regularly is 9.57 , assuming that exercise habits are independent.

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Problem 11588

8. Graph of a function f:RRf: R \rightarrow R is given below: i. Find limx1f(x)\lim _{x \rightarrow 1^{-}} f(x) and limx1+f(x)\lim _{x \rightarrow 1^{+}} f(x). ii. Does the limit Find limx1f(x)\lim _{x \rightarrow 1^{-}} f(x) exist?
Give reason to your answer.

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Problem 11589

25) أو جد أعلى قيمة للدالة f(x)=2x2+5x7f(x)=-2 x^{2}+5 x-7

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Problem 11590

In Exercises 8-10, graph the function. Compare the graph to the graph of the parent function. Identify the yy-intercepts and asymptotes of the graph. Find the domain and range of ff.
8. f(x)=5(14)xf(x)=5\left(\frac{1}{4}\right)^{x}

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Problem 11591

Select the correct answer. How will the graph of logx\log x compare to the graph of lnx\ln x ? A. The logx\log x graph will grow slower than the lnx\ln x graph. B. The logx\log x graph will grow faster than the lnx\ln x graph. C. They are inverses of one another. D. The graphs will be the same.

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Problem 11592

51
Select ALL the correct answers.
Which of the following situations are fair? To decide which citizens will be asked to participate in a county-wide poll, each citizen is assigned a number and the county uses a random number generator to determine the citizens who will be contacted. Jason plays a game in which he has to pick a ball from a box of 10 balls, which contains 7 black balls and 3 white balls. He wins the game if he draws a white ball in one attempt. Jericho designs a game for a school carnival. The game consists of a box of 50 colored balls; 35 are violet, 10 are orange, and 5 are yellow. The player has to choose one ball from the box. The player wins $5\$ 5 if it is a yellow ball, otherwise, the player wins nothing.
Ryan designs a game where a prize wheel is split into five equal sections. Four sections are red and one is green. If the wheel is spun and lands on a red section, the players loses $1\$ 1. If the wheel lands on green section, the player wins $5\$ 5.
Ray is playing a game in which he rolls a six-sided number cube. If the outcome is six, he is paid $5\$ 5. Otherwise, he loses \$1.
Jack and Mia both want the last cookie and neither will agree to share by splitting it. They ask a stranger passing by to flip a coin to decide who gets the cookie. (c) 2024 Edmentum. All rights reserved.

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Problem 11593

Given that f(x)=x2+5xf(x)=x^{2}+5 x and g(x)=x6g(x)=x-6, calculate the following: You do not need to simplify (a) (fg)(x)=(f \circ g)(x)= \square (b) (gf)(x)=(g \circ f)(x)= \square (c) (ff)(x)=(f \circ f)(x)= \square (d) (gg)(x)=(g \circ g)(x)= \square

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Problem 11594

II in the blank with the appropriate word or phrase.
If p^\hat{p} is the sample proportion and nn is the sample size, then p^(1p^)n\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} is the (Choose one) sample standard deviation population standard deviation standard error sample proportion

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Problem 11595

1. A reflection over the xx-axis maps ABC\triangle A B C to ABC\triangle A^{\prime} B^{\prime} C^{\prime}. Do the preimage and image have the same size and shape? Explain. Find a congruence transformation that maps RST\triangle R S T to UVW\triangle U V W. 2. 3.

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Problem 11596

You go to the doctor and he gives you 15 milligrams of radioactive dye. After 12 minutes, 8 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute.
You will spend \square minutes at the doctor's office.

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Problem 11597

Jelissa and Yari are both computing the product of 0.05 and 0.3. Their work is below: \begin{tabular}{|c|c|} \hline Jelissa's Work & Yari's Work \\ \hline5100×310=151000\frac{5}{100} \times \frac{3}{10}=\frac{15}{1000} & 0.05×100=50.05 \times 100=5 \\ & 0.3×10=30.3 \times 10=3 \\ & 5×3=155 \times 3=15 \\ & 15÷1,000=0.01515 \div 1,000=0.015 \\ \hline \end{tabular} a. Explain the similarities shown in Jelissa and Yari's work. b. Explain the differences shown in Jelissa and Yari's work.

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Problem 11598

Researchers want to test a new anti-unxicty medication. They split participants into three conditions (0mg,50mg(0 \mathrm{mg}, 50 \mathrm{mg}, and 100 mg)), then ask them to rate their anciety leyel on a scale of 1-10. Compute the value of the tes suatistic. A) F=96.33F=96.33 B) F=86.33F=86.33 C) F=77.33\mathrm{F}=77.33 D) F=67.33\mathrm{F}=67.33 \begin{tabular}{|l|l|l|} \hline Omg & 50 mg & 100 mg \\ \hline 9 & 7 & 4 \\ \hline 8 & 6 & 3 \\ \hline 7 & 6 & 2 \\ \hline 8 & 7 & 3 \\ \hline 8 & 8 & 4 \\ \hline 9 & 7 & 3 \\ \hline 8 & 6 & 2 \\ \hline \end{tabular}

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Problem 11599

5=5(4n1)35=\frac{5(4 n-1)}{3}

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Problem 11600

ALEKS - Danlette Tah - Learn New Chrom Gmail VouTube Google Docs Login More Section - Resu... Confldence intervals and Hypothesis Testing Danlette Computing and comparing confidence intervals for a population... Espanol
You are looking at a population and are interested in the proportion pp that has a certaln characteristic. Unknown to you, this population proportion is p=0.85p=0.85. You have taken a random sample of size n=115n=115 from the population and found that the proportion of the sample that has the characteristic is pundefined=0.84\widehat{p}=0.84. Your sample is Sample 1 in the table below. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.) (a) Based on Sample 1, graph the 75%75 \% and 90%90 \% confidence intervals for the population proportion. Use 1.150 for the critical value for the 75%75 \% confidence interval, and use 1.645 for the critical value for the 90%90 \% confidence interval. (If necessary, consult a list of formulas.) - Enter the lower and upper limits on the graphs to show each confidence interval. Write your answers with two decimal places. - For the points ( * and \bullet ), enter the population proportion, 0.85 . ? 凅 ■ 回 (4) (b) Press the "Generate Samples" button below to simulate taking 19 more samples of size n=115n=115 from the same population. Notice that the confidence intervals for these samoles are drawn automaticallv, Then complete parts (c) and ( dd ) below the table. Explanation Check

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