Analyze

Problem 1701

3) A plumber has a set fee for a house call and charges by the hour for repairs. The total cost of her services can be modeled by c(t)=125t+95c(t)=125 t+95. Which statements about this function are frue? I. A house call fee costs $95\$ 95. II. The plumber charges $125\$ 125 per hour. III. The number of hours the job takes is represented by tt.

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Problem 1702

f(x)=2x2+x6f(x) = 2x^2 + x - 6
Express the quadratic function in standard form, sketch its graph, find its maximum or minimum value.

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Problem 1703

Which expression is equivalent to (3x27)\left(3 x^{2}-7\right) ? (2x211)(x2+4)\left(2 x^{2}-11\right)-\left(x^{2}+4\right) (5x26)(2x21)\left(5 x^{2}-6\right)-\left(2 x^{2}-1\right) (10x24)(7x2+3)\left(10 x^{2}-4\right)-\left(7 x^{2}+3\right) (15x2+8)(18x2+1)\left(15 x^{2}+8\right)-\left(18 x^{2}+1\right)

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Problem 1704

What type of angle measures 3636^{\circ} ? adjacent obtuse acute opposite

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Problem 1705

What is the circumference of a circle? the length of a line passing across the circle through the center the length of a line from the center to any point on the circle the distance around the outside of the circle the amount of space contained within the circle

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Problem 1706

Which of the following describes the polynomial function? The function has a negative leading coefficient. The function has an even degree. The function has zero turning points. The function has one xx-intercept.

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Problem 1707

The graph of a linear function, ff, is shown.
What is the zero of ff ? (A) -3 (B) 3 (c) 2 (D) -6

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Problem 1708

The box-and-whisker plot below represents some data set. What is the range of the data?

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Problem 1709

Education Quiz: The Pedestrian ChatGPT Student Assessment https//studentvue.phoenixunion.org/gb_StudentAssessment.aspx?SID =439301\&STID =5630\&NP =1\&portal=false\&FOCUS_KEY= Geom U4 Quiz 2H H1 Pulgarin Zapata, Anette \# 1 of 10
1 If CFEPRT\triangle \mathrm{CFE} \cong \triangle \mathrm{PRT}, complete each of the following statements. CETRCF\begin{array}{l} \overline{C E} \cong \\ \overline{T R} \cong \\ \overline{C F} \cong \end{array} PR Select One Select One P\angle P \cong \angle Select One \vee E\angle E \cong \angle Select One FT\angle F \cong \angle T RPT\triangle \mathrm{RPT} \cong \triangle Select One FEC\triangle F E C \cong \triangle Select One \square RTP\triangle R T P \cong \triangle Select One  ~ \vee

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Problem 1710

6. Was ist mehr, 23\frac{2}{3} oder 34\frac{3}{4} einer Pizza?

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Problem 1711

The box-and-whisker plot below represents some data set. What is the value of the lower quartile?

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Problem 1712

When a number is stated as a percentage, it means that the number represents a portion of what value? 16 50 64 100

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Problem 1713

Trovare il simmetrico del punto P(1,2)P(1,2) rispetto alla retta x+y5=0x+y-5=0.

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Problem 1714

Question 3 of 5
Suppose that mm is an even integer and nn is an odd integer. Which of the following expressions must be an odd integer? A. 2(m+n)2(m+n) B. 2(m+n)+12(m+n)+1 C. mnm n D. 2(mn)2(m n) E. 3(mn)3(m n)

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Problem 1715

07 Fill in the Blank Dropdown
The graph of g(x)\mathrm{g}(\mathrm{x}) is shown on the grid below. Answer the questions that follow. (a) On what interval is the function increasing? (,2)(0,2)(-\infty,-2) \cup(0,2) \sim (b) On what interval is the function decreasing? (2,0)(2,)(-2,0) \cup(2, \infty) (c) On what interval is the function g(x)>0g(x)>0 ? (3,3)(-3,3) (d) On what interval is the function g(x)<0g(x)<0 ? (3,3)(-3,3)
Parts (e)-(h) on following slide Search

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Problem 1716

Are these shapes similar? yes no
Work it out Not feeling ready yet? These can help: Submit Similarity statements Identify equivalent ratios Lesson: Similarity Ready to go back? Return to your original skill

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Problem 1717

Give the name (monomial, binomial, trinomial, etc.) and the degree of the polynomial. 7x4+8x3 Name =[?] Degree =\begin{array}{l} 7 x^{4}+8 x^{3} \\ \text { Name }=[?] \\ \text { Degree }= \end{array}

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Problem 1718

Give the name (monomial, binomial, trinomial, etc.) and the degree of the polynomial. x42 Name =[?] Degree =\begin{array}{c} x^{42} \\ \text { Name }=[?] \\ \text { Degree }= \end{array}

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Problem 1719

can be formed using the given measurements. 2) mB=82,a=34 m,b=22 mm \angle B=82^{\circ}, a=34 \mathrm{~m}, b=22 \mathrm{~m}

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Problem 1720

s shows an equation. +hx2+16x+1=3x2x+1+15x+1\frac{+h x^{2}+16}{x+1}=3 x^{2}-x+1+\frac{15}{x+1} (1)
What value for hh will make the equation true if x1x \neq-1 ? (5))
Enter your response here: \square
Only 0,1,2,3,4,5,6,7,8,9,0,1,2,3,4,5,6,7,8,9, \ldots, and / are allowed in your answer. Mixed numbers are entered by adding a space after the whole number. Spaces are only allowed between whole numbers and fractions.

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Problem 1721

Given the measurements of a triangle: mB=110 m \angle B = 110^\circ , b=11m b = 11 \, \text{m} , and a=4m a = 4 \, \text{m} , determine the number of possible triangles that can be formed with these measurements.

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Problem 1722

ily Enterprises is purchasing a $9.6\$ 9.6 million machine. It will cost $47,000\$ 47,000 to transport and install the machine. The machine has a preciable life of 5 years, is using straight-line depreciation, and will have no salvage value. The machine will generate incremental venues of $4.3\$ 4.3 million per year along with incremental costs of $1.3\$ 1.3 million per year. Daily's marginal tax rate is 25%25 \%. You are forecasting cremental free cash flows for Daily Enterprises. If Daily Enterprises decides to use MACRS instead of straight-line depreciation, how would the incremental free cash flows associated th the new machine change? Under the TCJA of 2017, Daily Enterprises has the option to take 100\% "Bonus" depreciation in the year in which the equipment is put to use. This means that in that year, it would take the full depreciation expense equivalent to the cost of buying the equipment. If Daily Des so, which cash flows would increase and which would decrease? How does this compare to MACRS?
Under the TCJA of 2017, Daily Enterprises has the option to take 100\% "Bonus" depreciation in the year in which the equipment is put the use. This means that in that year, it would take the full depreciation expense equivalent to the cost of buying the equipment. If Daily loes so, which cash flows would increase and which would decrease? How does this compare to MACRS? (Select all the choices hat apply. A. In the case of Daily Enterprises, we assume that it puts the machine into use immediately, as seen by the MACRS expense in year 0 . Thus, Daily would take 100%100 \% of the depreciation expense in year 0 so that the entire cost of the equipment is deducted from taxes that year. B. With its taxes reduced, the incremental cash flow in year 0 is increased. With 100%100 \% of the depreciation expense used in year 0 , Daily would have no incremental depreciation in years 1 through 6 . However, by accelerating the entire tax deduction to year 0 , the present value of the incremental free cash flows would increase under bonus depreciation. C. Compared to MACRS, the effect will be less dramatic, but similar. MACRS puts more than half of the depreciation in years 0 and 1(20%+19.20%)1(20 \%+19.20 \%), whereas bonus depreciation puts 100%100 \% in year 0 . Thus, again the incremental free cash flow will be higher in year 0 , but lower in years 1 through 5 , and the present value of those cash flows will be greater. D. Compared to MACRS, the effect will be less dramatic, but similar. MACRS puts more than half of the depreciation in years 0 and 1(20%+32%)1(20 \%+32 \%), whereas bonus depreciation puts 100%100 \% in year 0 . Thus, again the incremental free cash flow will be higher in year 0 , but lower in years 1 through 5 , and the present value of those cash flows will be greater.

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Problem 1723

(03.05MC(03.05 \mathrm{MC} ) II EFG=Δ1\triangle E F G=\Delta 1 MIN with a ratio of 4.1 , which of the following is true? EFLM=FGLN\frac{\overline{E F}}{\overline{L M}}=\frac{\overline{F G}}{\overline{L N}} EF=LM\overline{E F}=\overline{\mathrm{LM}} EFLM=FGMN\frac{\overline{E F}}{L M}=\frac{\overline{F G}}{M N} EG=LM\overline{E G}=\overline{L M}

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Problem 1724

Find the midrange for the data items in the given frequency distribution. \begin{tabular}{|l|c|c|c|c|c|c|c|c|} \hline Score, x\mathbf{x} & 70 & 71 & 72 & 73 & 74 & 75 & 76 & 77 \\ \hline Frequency, f\mathbf{f} & 3 & 2 & 5 & 5 & 3 & 1 & 1 & 2 \\ \hline \end{tabular}
The midrange is \square (Type an integer or a decimal.)

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Problem 1725

Providing brief explanations, say whether the expressions below is equivalent to log(abc)\log \left(\frac{\mathrm{ab}}{\sqrt{c}}\right), where a,b,ca, b, c are positive constants log(ab)+0.5log1c\log (a b)+0.5 \log \frac{1}{c}
Chapter 7, Section 7.1, Intelligent Tutoring Problem 053
Re-write the given expression using one of the Properties of the Common Logarithm log(bt)=tlog(b)\log \left(b^{t}\right)=t \cdot \log (b) [Choose the correct answer.] log(ab)+0.5log1c=log(ab)+log((1c)0.5)\log (a b)+0.5 \log \frac{1}{c}=\log (a b)+\log \left(\left(\frac{1}{c}\right)^{0.5}\right) log(ab)+0.5log1c=log(ab)+log(0.5c)\log (a b)+0.5 \log \frac{1}{c}=\log (a b)+\log \left(\frac{0.5}{c}\right) log(ab)+0.5log1c=log(ab)+log(1c)\log (a b)+0.5 \log \frac{1}{c}=\log (a b)+\log \left(\frac{1}{c}\right) log(ab)+0.5logf7=log(ab)(1c)\log (a b)+0.5 \log f_{7}=\log (a b)\left(\frac{1}{c}\right)

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Problem 1726

Find the mode for the following group of data items. If there is no mode, so state. 99,85,93,87,96,93 몸 99,85,93,87,96,93 \text { 몸 }
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) is/are \square ( Use a comma to separate answers as needed.) B. There is no mode.

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Problem 1727

If eb=a\mathrm{e}^{b}=a, which of the following must be true?
1. b>ab>a
2. lna=b\ln a=b
3. a+b>0a+b>0

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Problem 1728

2. En un hospital, sobre una plantilla de 10 médicos, 3 están de guardia el sábado, 4 el domingo y 2 los dos días. Si se selecciona al azar a uno de los médicos, ¿qué probabilidad existe de que ese médico esté de guardia un sábado o un domingo?

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Problem 1729

The weights (to the nearest five pounds) of 34 randomly selected male college students are organized in the histogram. Use the graph to find the modal weight.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The modal weight is \square pounds. (Use a comma to separate answers as needed.) B. There is no modal weight for the given data.

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Problem 1730

Trovare il centro e il raggio della circonferenza data da x2+y2+4x6y+9=x^{2}+y^{2}+4 x-6 y+9= 0 .

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Problem 1731

Charlotte-Mecklenburg Schools post-Activity: How many solutions do these equations have? that involve imaginary numbers?
1. x2+14x+44=0x^{2}+14 x+44=0
2. x2+14x+49=0x^{2}+14 x+49=0
3. x2+14x+54=0x^{2}+14 x+54=0

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Problem 1732

In Exercises 47-52, describe how to transform the graph of y=logxy=\log x into the graph of the given function. Sketch the graph by hand and support with a grapher.
47. f(x)=1+log(x)f(x)=-1+\log (x)
48. f(x)=log(x3)f(x)=\log (x-3)
49. f(x)=2log(x)f(x)=-2 \log (-x)
50. f(x)=3log(x)f(x)=-3 \log (-x)
51. f(x)=2log(3x)1f(x)=2 \log (3-x)-1
52. f(x)=3log(1x)+1f(x)=-3 \log (1-x)+1

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Problem 1733

2. The polynomial pp is a function of xx. The graph of pp has four zeros at 4,2,0-4,-2,0, and 9 . Select all the expressions that could represent pp. A. 3x(x4)(x+23)(x+9)3 x(x-4)\left(x+\frac{2}{3}\right)(x+9) B. x(x+4)(x+23)(x9)-x(x+4)\left(x+\frac{2}{3}\right)(x-9) c. 3x(x+4)(3x+2)(x9)-3 x(x+4)(3 x+2)(x-9) D. 3x(x+4)(2x3)(x9)3 x(x+4)(2 x-3)(x-9) E. 3x(x+4)(3x+2)(x9)2-3 x(x+4)(3 x+2)(x-9)^{2}

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Problem 1734

Example 3 A plane flying north at 640 miles per hour passes over a certain town at noon, and a second plane going east at 600 miles per hour is directly over the same town 15 minutes later. If the planes are flying at the same altitude, how fast will they be separating at 1:151: 15 p.m.?

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Problem 1735

3. Biologists have found that the function P(t)=50001000cos(π6t)P(t)=5000-1000 \cos \left(\frac{\pi}{6} t\right) models the deer population in a provincial park, which undergoes a seasonal fluctuations. In this case, P(t)P(t) is the size of the deer population tt months after January. a) A disease in the wolf population has caused its population to decline, and the biologists have discovered that the deer population is increasing by 50 deer each month. Assuming that this pattern continues, determine the new function that will model the deer population over time. \checkmark b) Describe the following characteristics of the new population model: Domain, Range, odd-even-neither, maximum/minimum. \checkmark \checkmark \checkmark

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Problem 1736

Question 517 pont Conder the follung table which provides values of f(x)f^{\prime}\left(x^{\prime}\right) x012345f(x)317461\begin{array}{c|c|c|c|c|c|c} \\ x & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline f^{\prime}(x) & -3 & 1 & 7 & -4 & -6 & -1 \end{array}
You may assume that f(x)f^{\prime}(x) is strictly increasing or decreasing between each table vive
Gimen the intomation which of the following is true? Hot Use the fist derivative fest (fx) atains a maximum for some value of xx in 10,1 ). (ix) atrans a maxum for same value of xx in (2,3)(2,3). foldatains a maxum at x=4x=4 fix athains a macinum at x=2x=2 None of the above are correct

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Problem 1737

Using the domain provided: D:{xRx3,5}D:\{x \in R \mid x \neq 3,5\}
Select ALL possible functions below that have the above domain.
Elimination Tool Select all that apply A f(x)=(x5)(x3)(x4)f(x)=\frac{(x-5)(x-3)}{(x-4)} B g(x)=(x4)(x+3)(x+5)g(x)=\frac{(x-4)}{(x+3)(x+5)} C h(x)=(x+5)(x+5)(x3)(x5)h(x)=\frac{(x+5)(x+5)}{(x-3)(x-5)} D k(x)=x+3x28x+15k(x)=\frac{x+3}{x^{2}-8 x+15} E n(x)=x3x2+8x+15\quad n(x)=\frac{x-3}{x^{2}+8 x+15} Skip For Now Submit answer

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Problem 1738

4. Elena is making an open top box by cutting squares out of the comers of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are xx inches, then the volume of the box is given by V(x)=x(112x)(172x)V(x)=x(11-2 x)(17-2 x)
Elena graphs the volume of the box along with the function B(x)=140B(x)=140. a. What is a reasonable domain for V(x)V(x) ? b. Approximately which value of xx will give her a box with the greatest volume? c. For approximately which values of xx is the volume of the box increasing? d. What do the points of intersection of these two graphs represent?

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Problem 1739

What would be a good title for a graph of this data? * \begin{tabular}{|l|l|l|} & \multicolumn{2}{c|}{ A } \\ \hline \multicolumn{1}{c|}{} & \multicolumn{1}{c|}{ B } \\ \hline 1 & Mass of Bob (kg)(\mathrm{kg}) & Period of Pendulum (s) \\ \hline 2 & 0.01 & 1.8 \\ \hline 3 & 0.02 & 1.76 \\ \hline 4 & 0.03 & 1.82 \\ \hline 5 & 0.04 & 1.78 \\ \hline 6 & 0.05 & 1.81 \\ \hline 7 & 0.06 & 1.8 \\ \hline 8 & 0.07 & 1.79 \\ \hline \end{tabular} Mass of Bob vs. Period of Pendulum Independent vs. Dependent Period of Pendulum vs. Mass of Bob Dependent vs. Independent

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Problem 1740

Find the mean for the data items in the given frequency distribution. \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline Score, x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline Frequency, f & 3 & 1 & 6 & 4 & 6 & 3 & 1 & 2 \\ \hline \end{tabular}
The mean is \square (Round to 3 decimal places as needed.)

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Problem 1741

You say goodbye to your friend at the intersection of two perpendicular roads. At time t=0t=0 you drive off North at a (constant) speed vv and your friend drives West at a (constant) speed ww. You badly want to know. how fast is the distance between you and your friend increasing at time tt ?
Enter here the derivative with respect to tt of the distance between you and your friend: \square Note: the next part will be MUCH easier if you simplify your answer to this part as much as possible.
Being scientifically minded you ask yourself how does the speed of separation change with time. In other words, what is the second derivative of the distance between you and your friend? \square Suppose that after your friend takes off (at time t=0t=0 ) you linger for an hour to contemplate the spot on which he or she was standing. After that hour you drive off too (to the North). How fast is the distance between you and your friend increasing at time tt (greater than one hour)? \square Again, you ask what is the second derivative of your separation: \square Notice how lingering can make things harder, mathematically speaking.

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Problem 1742

MULTIPLE CHOICE QUESTION
Using order of operations, what is the first step you sh carry out? ximple on livestment january 2021, you purchased one share of amestop stock for \192)Thenextmonth,youROI192) The next month, you ROI =\frac{\text { (selling price }- \text { purchased price) }}{\text { purchared price }} \times 100ellwiththeclosingpriceforthatdayat$40WhatwasyourROI?Howmuchmoneydidyouoseorgainwiththisstock? ell with the closing price for that day at \$40 What was your ROI? How much money did you ose or gain with this stock?  selling price =40 purchased price =192=(40192)192×100\begin{aligned} \text { selling price } & =40 \\ \text { purchased price } & =192 \end{aligned} \quad=\frac{(40-192)}{192} \times 100 \qquad ====\begin{array}{l} \because= \\ \because= \\ \because= \\ \vdots= \end{array}$ Multiplication: Times 100 Division: Divide by 192 Parenthesis: 40 - 192
Rewatch Submit NGPF

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Problem 1743

MULTIPLE CHOICE QUESTION
Using order of operations, what is the first step you sh carry out? ximple on livestment january 2021, you purchased one share of amestop stock for \192)Thenextmonth,youROI192) The next month, you ROI =\frac{\text { (selling price }- \text { purchased price) }}{\text { purchared price }} \times 100ellwiththeclosingpriceforthatdayat$40WhatwasyourROI?Howmuchmoneydidyouoseorgainwiththisstock? ell with the closing price for that day at \$40 What was your ROI? How much money did you ose or gain with this stock?  selling price =40 purchased price =192=(40192)192×100\begin{aligned} \text { selling price } & =40 \\ \text { purchased price } & =192 \end{aligned} \quad=\frac{(40-192)}{192} \times 100 \qquad ====\begin{array}{l} \because= \\ \because= \\ \because= \\ \vdots= \end{array}$ Multiplication: Times 100 Division: Divide by 192 Parenthesis: 40 - 192
Rewatch Submit NGPF

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Problem 1744

```latex \text{Consider the graph shown below:}
\text{Select one answer}
\text{A } (-\infty,-a) \cup(-a, b) \cup(b, c) \cup(c, \infty)
\text{B } (-\infty, a) \cup(a, b) \cup(b, c) \cup(c, \infty)
\text{C } (-\infty, c) \cup(c, \infty)
\text{D } (-\infty, a) \cup(a, b) \cup(b, \infty)
\text{The graph of the rational function } k(x) \text{ provided has vertical asymptotes at } x=a \text{ and } x=b. \text{ The graph also has a horizontal}
\text{Find the domain}

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Problem 1745

If we had a POSITIVE return on investment, what would that mean? That we gained money from the investment That we lost money from the investment That we broke even from the investment
Rewatch Submit

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Problem 1746

Determine whether the statement makes sense or does not make sense, and explain your reasoning. The death rate from this new strain of flu is catastrophic because 25%25 \% of the people hospitalized with the disease have died.
Choose the correct answer below. A. This does not make sense because it is not clear whether the facts are derived from a sample of patients which is representative of the entire population of the patients suffering from the disease. B. This does not make sense because the percentage of the hospitalized people is less than 50%50 \%. C. This makes sense because the percentage of the hospitalized people is less than 50%50 \%. D. This makes sense because the sample of patients is representative of the entire population of patients suffering from the disease.

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Problem 1747

A questionnaire was given to students. The first question asked was "How stressed have you been in the last week on a scale of 0 to 10 with 0 being not stressed at all and 10 being as stressed as possible?" The responses are shown in the table. a. Which stress rating describes the least number of students? \square out of 10 (Type a whole number.) \begin{tabular}{|c|c|} \hline Stress Rating & Frequency \\ \hline 0 & 4 \\ \hline 1 & 3 \\ \hline 2 & 1 \\ \hline 3 & 19 \\ \hline 4 & 18 \\ \hline 5 & 10 \\ \hline 6 & 11 \\ \hline 7 & 29 \\ \hline 8 & 24 \\ \hline 9 & 14 \\ \hline 10 & 12 \\ \hline \end{tabular}

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Problem 1748

1. Which of the following numbers is an integer but not a whole number 59\frac{5}{9} 24-24 98 35-\frac{3}{5}

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Problem 1749

Compare and interpret the measures to select the data with the least variation. \begin{tabular}{|l|l|l|} \hline Dataset & Mean & Standard Deviation \\ \hline A & 21 & 1.9 \\ \hline B & 29 & 1.41 \\ \hline C & 25 & 1.2 \\ \hline D & 48 & 1.14 \\ \hline \end{tabular} (1 point) Dataset C has a standard deviation of 1.2 and a mean of 25 . Dataset D has a standard deviation of 1.14 and a mean of 48 Dataset B has a standard deviation of 1.41 and a mean of 29. Dataset A has a standard deviation of 1.9 and a mean of 21 .

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Problem 1750

1. The tables of ordered pairs represent some points on the graphs of two different lines
Line A: \begin{tabular}{|c|c|c|c|c|c|c|} \hlinexx & 1 & 3 & 5 & 7 & 9 & 11 \\ \hlineyy & 6 & 18 & 30 & 42 & 54 & 66 \\ \hline \end{tabular}
Line B: \begin{tabular}{|c|c|c|c|c|c|} \hline x & 2 & 4 & 6 & 8 & 10 \\ \hline y\mathbf{y} & 4 & 7 & 10 & 13 & 16 \\ \hline \end{tabular}
Which system of equations represents the graph of these two lines? a. 6x+y=01.5x+y=1\begin{array}{l} -6 x+y=0 \\ -1.5 x+y=1 \end{array} b. y=0x+61.5x+y=1\begin{array}{l} y=0 x+6 \\ -1.5 x+y=1 \end{array} c. 6x+y=0y=x+1.5\begin{array}{l} -6 x+y=0 \\ y=x+1.5 \end{array} d. y=0x+6y=x+1.5\begin{array}{l} y=0 x+6 \\ y=x+1.5 \end{array}

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Problem 1751

If the mean of a dataset is 59 , what is the deviation of the data point at 43 ? (1 point) 256 4 16-16 16

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Problem 1752

Assume two six-sided dice are rolled each with the numbers 1,2,3,4,51,2,3,4,5, and 6 . The first one is red and the second one is green. Use a systematic listing to determine the number of ways to roll a total less than 7 on the two dice.

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Problem 1753

7. Jessica bought hot dog buns and hamburger buns for a neighborhood cookout. The lotal number of hot dog and hamburger buns was less than 50, and Jessica bought more hot dog buns than hamburger buns. If xx represents hamburger buns and yy represents hot dog buns, the situation can be represented with the system below. a. Graph the solution sel of the inequality. b. List a possible combination of hamburger and hot dog buns that Jessica could have purchased. c. Are there any ordered pairs in the solution set that do not make sense? Explain.

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Problem 1754

Exercice n1\mathrm{n}^{\circ} \mathbf{1} : On donne la représentation graphique d'une fonction f ainsi que les éventuelles droites asymptotes. En déduire : 11^{\circ} ) Sur quel intervalle f est définie ; 22^{\circ} ) Les limites aux bornes de l'ensemble de définition. 33^{\circ} ) Le tableau de variation de f
Exercice n2\mathrm{n}^{\circ} 2 Déterminer les limites suivantes 1) limx+7x2+2x15x2+7x+5\lim _{x \rightarrow+\infty} \frac{7 x^{2}+2 x-1}{5 x^{2}+7 x+5} 2) limx1x22x+11x\lim _{x \rightarrow 1} \frac{x^{2}-2 x+1}{1-x} 3) limx1x<15x+45x27x+2\lim _{\substack{x \rightarrow 1 \\ x<1}} \frac{5 x+4}{5 x^{2}-7 x+2} 4) limx+xsinx\lim _{x \rightarrow+\infty} x-\sin x 5) limx+cosx+sinxx2\lim _{x \rightarrow+\infty} \frac{\cos x+\sin x}{x^{2}}
Exercice n3\mathrm{n}^{\circ} 3 Soit f une fonction définie sur IR \{12}\backslash\left\{\frac{1}{2}\right\} \quad par f(x)=2x+52x1f(x)=\frac{2 x+5}{2 x-1} 11^{\circ} ) Calculer les limites de f(x)f(x) aux bornes de son ensemble de définition et interpréter graphiquement les résultats 22^{\circ} ) Justifier que ff est dérivable sur DD et exprimer f(x)f^{\prime}(x) pour tout réel xx de DD. 33^{\circ} ) En déduire le tableau de variations de la fonction ff sur DD. 4)\left.4^{*}\right) Etudier la position relative de la courbe de f par rapport à son asymptote horizontale.

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Problem 1755

PUTTING IT ALL TOGETHER AS y=a(xh)2+k(x+h,ay+k)y=a(x-h)^{2}+k \rightarrow(x+h, a y+k) Eg 1: y=1/2(x2)22y=-1 / 2(x-2)^{2}-2 \begin{tabular}{|l|l|l|l|} \hlinexx & xnew =x+2x_{\text {new }}=x+2 & yy & ynew =1/2y2y_{\text {new }}=-1 / 2 y-2 \\ \hline-2 & 2+2=0-2+2=0 & 4 & 1/2(4)2=4-1 / 2(4)-2=-4 \\ \hline-1 & 12=3-1-2=3 & 1 & -2.5 \\ \hline 0 & 0+2=20+2=2 & 0 & \\ \hline 1 & 1+2=31+2=3 & 1 & \\ \hline 2 & 2+2=42+2=4 & 4 & \\ \hline \end{tabular}

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Problem 1756

4. For each equation, identify the slope and yy-intercept of its graph. a) y=4x7y=4 x-7 b) y=x+12y=x+12 c) y=49x+7y=-\frac{4}{9} x+7 d) y=11x38y=11 x-\frac{3}{8}

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Problem 1757

The table shows the probability distribution for a discrete random variable XX. a. Complete the table by finding the missing values of xP(x)x \cdot P(x). Then compute the mean of the probability distribution. \begin{tabular}{|r|r|r|} \hlinexx & P(x)P(x) & xP(x)x \cdot P(x) \\ \hline 3 & 0.19 & \\ \hline 4 & 0.2 & 0.8 \\ \hline 5 & 0.37 & \\ \hline 6 & 0.24 & 1.44 \\ \hline \end{tabular} μX=4.66\mu_{X}=4.66

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Problem 1758

For the given cost function C(x)=48400+200x+x2C(x)=48400+200 x+x^{2}, which gives the total cost (\)for) for xitems.Findtheaveragecostfunction: items. Find the average cost function: \bar{C}(x)= \squareFindtheproductionlevelthatwillminimizetheaveragecost: Find the production level that will minimize the average cost: x= \square$ items
Find the minimal average cost: \square Question Help: \square Video Submit Question

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Problem 1759

Given a graph of the rate of change of distance (in miles per hour) over time (in hours), you are asked to calculate the left and right hand estimates using Riemann sums.\text{Given a graph of the rate of change of distance (in miles per hour) over time (in hours), you are asked to calculate the left and right hand estimates using Riemann sums.}
The x-axis is divided into intervals corresponding to hours, and it is assumed that these intervals are equal in width.\text{The x-axis is divided into intervals corresponding to hours, and it is assumed that these intervals are equal in width.}
The rectangle is n=1.\text{The rectangle is } n=1.
Determine the width of each interval and calculate the left and right hand estimates.\text{Determine the width of each interval and calculate the left and right hand estimates.}
If the intervals aren’t uniform or if there are specific points given, provide that information as well.\text{If the intervals aren't uniform or if there are specific points given, provide that information as well.}

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Problem 1760

2. Say that Gotham City is deciding how many skate parks and dog walks to build in the city. A survey is done and it is found that 40 percent of the population are cranky taxpayers who dislike public expenditures and prefer 0 skate parks and 0 dog walks; 22 percent are hard core skate punks who prefer 6 skate parks and 0 dog walks; 30 percent are yuppie golden retriever owners who prefer 0 skate parks and 6 dog walks; and 8 percent are consensusminded Buddhists who prefer 2 skate parks and 2 dog walks. Say that there are two candidates running for office who take positions on both issues. As in the Downsian model, each voter votes for the candidate which is closest to her own position or "ideal point." For example, if candidate 1 favors 1 skate park and 1 dog walk, and candidate 2 favors 4 skate parks and 2 dog walks, then candidate 1 gets 78 percent of the vote (the cranky taxpayers, the yuppies, and the Buddhists) and candidate 2 gets 22 percent (the skate punks). Each candidate wants to maximize the total number of votes she gets.
Math hint: in case you forgot, the distance between point (a,b)(a, b) and point (c,d)(c, d) is given by the Pythagorean Theorem: (ac)2+(bd)2\sqrt{(a-c)^{2}+(b-d)^{2}}. For example, if candidate 1 favors 1 skate park and 1 dog walk, her position is (1,1)(1,1). If candidate 2 favors 4 skate parks and 2 dog her position is (4,2)(4,2). The Buddhists have ideal point (2,2)(2,2). Thus candidat (21)2+(21)2=2\sqrt{(2-1)^{2}+(2-1)^{2}}=\sqrt{2} away, and candidate 2 is distance (24)2+(2\sqrt{(2-4)^{2}+(2} 2 away. Since candidate 1 is closer, the Buddhists vote for candidate 1. a. Let's try to make a prediction in this game by eliminating weakly and strongl. strategies. First, simplify the game a lot by considering only the following strategies: (0,0)(0,0), (0,3),(1,1),(2,2),(3,0),(3,3)(0,3),(1,1),(2,2),(3,0),(3,3). Here (3,0)(3,0) means for example 3 skate parks and 0 dog walks. Each of the two candidates thus has six possible strategies. Write this as a strategic form game and make a prediction by eliminating weakly and strongly dominated strategies.

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Problem 1761

Say that Gotham City is deciding how many skate parks and dog walks to build in the city. A survey is done and it is found that 40 percent of the population are cranky taxpayers who dislike public expenditures and prefer 0 skate parks and 0 dog walks; 22 percent are hard core skate punks who prefer 6 skate parks and 0 dog walks; 30 percent are yuppie golden retriever owners who prefer 0 skate parks and 6 dog walks; and 8 percent are consensus-minded Buddhists who prefer 2 skate parks and 2 dog walks.\text{Say that Gotham City is deciding how many skate parks and dog walks to build in the city. A survey is done and it is found that 40 percent of the population are cranky taxpayers who dislike public expenditures and prefer 0 skate parks and 0 dog walks; 22 percent are hard core skate punks who prefer 6 skate parks and 0 dog walks; 30 percent are yuppie golden retriever owners who prefer 0 skate parks and 6 dog walks; and 8 percent are consensus-minded Buddhists who prefer 2 skate parks and 2 dog walks.}
Say that there are two candidates running for office who take positions on both issues. As in the Downsian model, each voter votes for the candidate which is closest to her own position or "ideal point." For example, if candidate 1 favors 1 skate park and 1 dog walk, and candidate 2 favors 4 skate parks and 2 dog walks, then candidate 1 gets 78 percent of the vote (the cranky taxpayers, the yuppies, and the Buddhists) and candidate 2 gets 22 percent (the skate punks). Each candidate wants to maximize the total number of votes she gets.\text{Say that there are two candidates running for office who take positions on both issues. As in the Downsian model, each voter votes for the candidate which is closest to her own position or "ideal point." For example, if candidate 1 favors 1 skate park and 1 dog walk, and candidate 2 favors 4 skate parks and 2 dog walks, then candidate 1 gets 78 percent of the vote (the cranky taxpayers, the yuppies, and the Buddhists) and candidate 2 gets 22 percent (the skate punks). Each candidate wants to maximize the total number of votes she gets.}
Math hint: in case you forgot, the distance between point (a,b) and point (c,d) is given by the Pythagorean Theorem: (ac)2+(bd)2. For example, if candidate 1 favors 1 skate park and 1 dog walk, her position is (1,1). If candidate 2 favors 4 skate parks and 2 dog walks, her position is (4,2). The Buddhists have ideal point (2,2). Thus candidate 1 is distance (21)2+(21)2=2 away, and candidate 2 is distance (24)2+(22)2=4=2 away. Since candidate 1 is closer, the Buddhists vote for candidate 1.\text{Math hint: in case you forgot, the distance between point } (a, b) \text{ and point } (c, d) \text{ is given by the Pythagorean Theorem: } \sqrt{(a-c)^{2}+(b-d)^{2}}. \text{ For example, if candidate 1 favors 1 skate park and 1 dog walk, her position is } (1,1). \text{ If candidate 2 favors 4 skate parks and 2 dog walks, her position is } (4,2). \text{ The Buddhists have ideal point } (2,2). \text{ Thus candidate 1 is distance } \sqrt{(2-1)^{2}+(2-1)^{2}}=\sqrt{2} \text{ away, and candidate 2 is distance } \sqrt{(2-4)^{2}+(2-2)^{2}}=\sqrt{4}= 2 \text{ away. Since candidate 1 is closer, the Buddhists vote for candidate 1.}
a. Let’s try to make a prediction in this game by eliminating weakly and strongly dominated strategies. First, simplify the game a lot by considering only the following strategies: (0,0),(0,3),(1,1),(2,2),(3,0),(3,3). Here (3,0) means for example 3 skate parks and 0 dog walks. Each of the two candidates thus has six possible strategies. Write this as a strategic form game and make a prediction by eliminating weakly and strongly dominated strategies. Make the table by calculating pleacs.\text{a. Let's try to make a prediction in this game by eliminating weakly and strongly dominated strategies. First, simplify the game a lot by considering only the following strategies: } (0,0), (0,3), (1,1), (2,2), (3,0), (3,3). \text{ Here } (3,0) \text{ means for example 3 skate parks and 0 dog walks. Each of the two candidates thus has six possible strategies. Write this as a strategic form game and make a prediction by eliminating weakly and strongly dominated strategies. Make the table by calculating pleacs.}

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Problem 1762

A stock analyst is comparing the interquartile range of the day's stock prices of Stock AA and Stock B. Stock A has an interquartile range of 3 , and Stock B has an interquartile range of 11. What interpretation can be made from the interquartile range of each stock? (1 point) The price of Stock B is higher than the price of Stock A by 7 . Stock B has more variability than Stock A. Stock A has more variability than Stock B. The stock price for Stock B is higher than the price for Stock AA.

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Problem 1763

5/10
What is the vertex of y=2(x3)2+y=2(x-3)^{2}+ 6 (3,6)(-3,6) (3,6)(-3,-6) (3,6)(3,6) (3,6)(3,-6)

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Problem 1764

What is the median of this data set? 225668911\begin{array}{llllllll} 2 & 2 & 5 & 6 & 6 & 8 & 9 & 11 \end{array} 5 6 8 7

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Problem 1765

1 Identify the key features of the quadratic below:

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Problem 1766

6 Fill in the Blank 0.3 points Q2. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} Hours \\ Worked \end{tabular} & 10 & 9 & 11 & 8 & 13 & 11 & 17 & 10 & 14 & 10 & 11 \\ \hline Volunteer & Pat & Juan & Teri & Cassie & Jason & Ben & Erin & Lee & George & Jade & Alicia \\ \hline \end{tabular}
Determine the following values for the data set. Minimum= \square type your answer... ;Q1 = \square ; Median= \square type your answer... Q3= \square type your answerMaximum= type your answer...

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Problem 1767

7/10
What is the vertex of the parabola: y=2(x3)2+4y=2(x-3)^{2}+4 (3,4)(3,-4) (3,4)(-3,4) (3,4)(-3,-4) (3,4)(3,4)

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Problem 1768

a. Find zttz_{t t} for ztt=z(x,y,t)=cos(4+49t)sin(2x)sin(7y)z_{t t}=\quad z(x, y, t)=\cos (\sqrt{4+49 t}) \cdot \sin (2 x) \cdot \sin (7 y) aba^{b} sin(a)xf\sin (a) \quad \frac{\partial}{\partial x} f : \infty α\alpha Ω\Omega ? b. Does u=sin(53t)sin(2x)sin(7y)u=\sin (\sqrt{53} \cdot t) \cdot \sin (2 x) \cdot \sin (7 y) satisfy the membrane equation utt=uxx+uyy?u_{t t}=u_{x x}+u_{y y} ? Yes No

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Problem 1769

Points: 0 of 1 Save
A survey showed that 34%34 \% of human resource professionals are at companies that rejected job candidates because of information found on their social media. If 26 human resource professionals are randomly selected, would 15 be a significantly high number to be at companies that rejected job candidates because of information found on their social media? Why or why not?
Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed.) A.
No, 15 would not be significantly high because the probability of 15 or more is \square , which is low. B. No, 15 would not be significantly high because the probability of 15 or more is \square , which is not low. c. Yes, 15 would be significantly high because the probability of 15 or more is \square , which is not low. D. Yes, 15 would be significantly high because the probability of 15 or more is \square , which is low.

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Problem 1770

A force of 10 N and a force of 5 N act on an object.
The angle between the forces is 150150^{\circ}. The resultant force on the object can be resolved into a pair of perpendicular components. Which row shows numerical expressions for a possible pair of perpendicular components? \begin{tabular}{|c|c|c|} \hline & force component/N & force component/N \\ \hline A & 10cos30510 \cos 30^{\circ}-5 & 10cos3010 \cos 30^{\circ} \\ B & 10sin30510 \sin 30^{\circ}-5 & 10cos3010 \cos 30^{\circ} \\ C & 105cos3010-5 \cos 30^{\circ} & 5sin305 \sin 30^{\circ} \\ D & 105sin3010-5 \sin 30^{\circ} & 5cos305 \cos 30^{\circ} \\ \hline \end{tabular}

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Problem 1771

Fixlt, Inc. operates 20 injection molding machines in the production of tool boxes of four different sizes, named the Apprentice, the Handyman, the Journeyman, and the Professional.
Classify each of the following costs as unit-level, batch-level, product-level, or facility-level.
Activity Cost Level (a) First-shift supervisor's salary. \square (b) Powdered raw plastic. \square (c) Dies for casting plastic components. \square (d) Depreciation on injection molding machines (assume units-of-activity depreciation). \square (e) Changing dies on machines. \square (f) Moving components to assembly department. \square (g) Engineering design. \square (h) Employee health and medical insurance coverage. \square

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Problem 1772

he graph of a linear function is shown.
Which function best represents the relationship shown in the gra (A) y=35x5y=-\frac{3}{5} x-5

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Problem 1773

Wreality Che
Name: \qquad
1. The able below whows the average weight of a thpe of planition after acveral weriks. \begin{tabular}{|c|c|} \hline Time (weakn) & Weigherounces) \\ \hline 8 & 0.04 \\ \hline 9 & 0.07 \\ \hline 10 & 0.14 \\ \hline 11 & 0.25 \\ \hline 12 & 0.49 \\ \hline \end{tabular}

What is the average rate of change in weight of the plankton from week 8 to week 12?12 ? A. 0.0265 ounce per week B. 0.0375 ounce per week C. 0.055 ounce per week D. 0.1125 ounce per week

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Problem 1774

Find the vertex of the following functions: y=(x+4)2+9y=(x+4)^{2}+9 ( \square \square )

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Problem 1775

Evaluate the following integrals by interpreting them in terms of areas: (a) 02f(x)dx=\int_{0}^{2} f(x) d x= \square 1 s

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Problem 1776

Standardized Assessment Practice Choose the correct answers. 13) \qquad Which ordered pair best represents the solution to the system of linear equations? A. (0,1)(0,1) B. (72,92)\left(-\frac{7}{2},-\frac{9}{2}\right) C. (9,0)(-9,0) D. (92,72)\left(-\frac{9}{2},-\frac{7}{2}\right)

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Problem 1777

Good X is highly desired by consumers. However, it is impossible to prevent non-payers from using the good once it is purchased by someone else. Therefore, good X is \qquad problem. \qquad and suffers from the a. Non-excludable; free-rider b. Non-rivalrous; over-consumption c. Excludable; private good d. Non-excludable; negative externality

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Problem 1778

19. log(r)t+log(d)t\frac{\log (r)}{t}+\frac{\log (d)}{t} is equal to A. log(rd)t\log (r d)^{t} B. log(rd4)\log (\sqrt[4]{r d}) C. log(r+d4)\log (\sqrt[4]{r+d}) D. log(r+d)t\log (r+d)^{t}

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Problem 1779

6. Find the exact absolute maximum and minimum of h(x)=xex2h(x)=x e^{-x^{2}} on the interval [1,1][-1,1].
7. Let f(x)=ln(2x33x2)f(x)=\ln \left(2 x^{3}-3 x^{2}\right). Find all values of xx for which f(x)f^{\prime}(x) is 0 or undefined. Determine

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Problem 1780

20. The xx-intercept of the graph of y=logbxy=\log _{b} x, where b>0b>0 and b1b \neq 1, is A. 0 B. 1 C. undefined D. dependent on the value of bb

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Problem 1781

Sean mixes coconut oil with several other ingredients to make homemade toothpaste for his dog Rocky. He uses 12\frac{1}{2} cup of coconut oil to make 23\frac{2}{3} cup of toothpaste.
How much coconut oil does Sean use per cup of toothpaste? ? cup(s) coconut oil per cup toothpaste

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Problem 1782

Graph the following polynomials find at least 5 points Part two: Write each of the equations in standard form and place next to the vertex form. Please sho the AOS of the parabola 1) y=(x2)22y=-(x-2)^{2}-2 S.F \qquad

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Problem 1783

La función gg se define como sigue en el dominio dado. g(x)=3x+1, dominio ={2,1,0,1}g(x)=3 x+1, \quad \text { dominio }=\{-2,-1,0,1\}
Escribir el rango de gg utilizando notación de conjuntos. Luego trazar el gráfico de gg. rango = \square

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Problem 1784

Use Taylor's formula for f(x,y)f(x, y) at (0,0)(0,0) to find the quadratic approximations of ff near the origin when f(x,y)f(x,y)=57x2y+7xy.f(x, y) \approx \quad f(x, y)=\frac{5}{7-x-2 y+7 x y} .

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Problem 1785

8. Look at the figure. Which of the following line segments is skew to PV\overline{P V} ?

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Problem 1786

```latex Identify all the numbered angles that are congruent to the given angle.
List the numbers of any angles that are congruent to the given angle. \square (Use a comma to separate answers as needed. Do not include the \angle symbol in your answer.) ```

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Problem 1787

11 A B C D E\mathbf{E}
Select correct applications of the very famous identity. A) the quantity sin4(θ)+cos4(θ)\sin ^{4}(\theta)+\cos ^{4}(\theta) can always be exchanged for " 1 " sin2(θ)+cos2(θ)=1\sin ^{2}(\theta)+\cos ^{2}(\theta)=1 B) the quantity " cos2(θ)\cos ^{2}(\theta) " can always be exchanged for 1sin2(θ)1-\sin ^{2}(\theta) C) "1" can always be exchanged for the quantity sin2(θ)+cos2(θ)\sin ^{2}(\theta)+\cos ^{2}(\theta) D) the quantity sin2(θ)+cos2(θ)\sin ^{2}(\theta)+\cos ^{2}(\theta) can always be exchanged for " 1 " E) the quantity "sin2(θ)" \sin ^{2}(\theta) " can always be exchanged for 1cos2(θ)1-\cos ^{2}(\theta)

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Problem 1788

2. Of the 3,500 surveys sent out by the campaign team, 967 responses were recorded. The responses were compiled into a variety of two-way frequency tables for analysis by the campaign team, one of which is included below. The rows of the given table indicate age bands of the respondents, while the columns indicate whether or not the respondent intends to vote for the team's candidate. Each entry in the table gives the total number of respondents that fall into the overlap of that entry's row and column categories. \begin{tabular}{|c|c|c|c|c|} \hline & Yes & No & Undecided & Total \\ \hline 1824\mathbf{1 8 - 2 4} & 25 & 71 & 40 & 136 \\ \hline 2534\mathbf{2 5 - 3 4} & 88 & 80 & 32 & 200 \\ \hline 3544\mathbf{3 5 - 4 4} & 68 & 54 & 44 & 166 \\ \hline 4554\mathbf{4 5 - 5 4} & 79 & 64 & 30 & 173 \\ \hline 5564\mathbf{5 5 - 6 4} & 91 & 58 & 22 & 171 \\ \hline 65+\mathbf{6 5 +} & 66 & 44 & 21 & 121 \\ \hline Total & 407 & 371 & 189 & 967 \\ \hline \end{tabular} (a) [5 points] What is the relative frequency of respondents that are aged 35-44 and who plan to vote for the candidate? Round your answer to 4 decimal places. (b) [ 5 points] What is the relative frequency of respondents between the ages of 18-34 who are undecided on whether they plan to vote for the candidate? (c) [10 points] Should the candidate focus more of their campaign budget on advertisements to people in the 18-24 age bracket or the 65+65+ age bracket? Explain your answer using at least. two relative frequencies to justify your plan.

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Problem 1789

During which phase change does a substance release heat?
1. Melting
2. Sublimation
3. Condensation
4. Vaporization

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Problem 1790

9. Determine g(x+a)g(x)g(x+a)-g(x) for the following function. g(x)=2x+1g(x)=2 x+1
Answer: g(x+a)g(x)=\quad g(x+a)-g(x)=

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Problem 1791

3. Look at the figure. What is another name for CAundefined\overrightarrow{\mathrm{CA}} ?
CBundefined\overrightarrow{\mathrm{CB}}
BCundefined\overrightarrow{B C}
ACundefined\overrightarrow{A C}
CEundefined\overrightarrow{C E}

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Problem 1792

Suppose yy is a function of xx, i.e. y=y(x)y=y(x), and 12xy+4ex+y=16-12 \cdot x \cdot y+4 \cdot e^{x+y}=-16 a. Find dy dx\frac{\mathrm{d} y}{\mathrm{~d} x} in terms of xx and yy. dy dx=\frac{\mathrm{d} y}{\mathrm{~d} x}=

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Problem 1793

What else would need to be congruent to show that ABCDEF\triangle A B C \cong \triangle D E F by ASAA S A ? A. CF\angle C \cong \angle F B. BCEF\overline{B C} \cong \overline{E F} C. ACOF\overline{A C} \cong \overline{O F} D. AD\angle A \cong \angle D

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Problem 1794

Given: Q=3x2x5\mathrm{Q}=\sqrt{\frac{3}{x-2}}-\frac{x}{5} 1.3.1 For which value(s) of xx will QQ be a real number? 1.3.2 Show that Q is a rational number if x=5x=5 x=3±22x=-3 \pm 2 \sqrt{2} are the roots of a quadratic function, f(x)f(x) of which the yy intercept is 4 Determine f(x)f(x).

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Problem 1795

3) The costs of different sizes of orange juice are shown in the table.
Which container costs the least per ounce?

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Problem 1796

For f(x)=5x5x2x6f(x)=\frac{-5 x-5}{x^{2}-x-6} and g(x)=x+13xg(x)=\frac{x+1}{3-x}, find the following. (a) R(x)=f(x)+g(x)R(x)=f(x)+g(x) R(x)=R(x)= (b) R(x)=f(x)g(x)R(x)=f(x)-g(x) R(x)=R(x)=

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Problem 1797

The table summarizes the distribution of color and shape for 100 tiles of equal area. \begin{tabular}{|c|c|c|c|c|} \hline & Red & Blue & Yellow & Total \\ \hline Square & 10 & 20 & 25 & 55 \\ \hline Pentagon & 20 & 10 & 15 & 45 \\ \hline Total & 30 & 30 & 40 & 100 \\ \hline \end{tabular}
If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.)

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Problem 1798

following are equal to 9 ? Select all that apply. Multi-select Actid to 32(3)2(3)232\begin{array}{l} 3^{2} \\ (-3)^{2} \\ -(-3)^{2} \\ -3^{2} \end{array} \sim Multi-Select

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Problem 1799

The function gg is defined by the following rule. g(x)=3x+5g(x)=-3 x+5
Complete the function table. \begin{tabular}{|c|c|} \hlinexx & g(x)g(x) \\ \hline-4 & \square \\ \hline-3 & \square \\ \hline 0 & \square \\ \hline 2 & \square \\ \hline 3 & \square \\ \hline \end{tabular}

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Problem 1800

Suppose you purchase a refrigerator for $1,105\$ 1,105 and make payments of $59.17\$ 59.17 per month for 2 years. What is the total amount of interest paid? \ \square$

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