Model

Problem 501

Give a parametric equation representation for each curve. $\begin{array}{l} a) y=x^{5}-x \\ x(t)=\square \\ y(t)=\square \end{array}$ b) $9 x^{2}+y^{2}=1$ $x(t)=$ $\square$ $y(t)=$ $\square$

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Problem 502

1. $2 \pi$ For each of the following word problems, write and explain multiplication and division equations that model the problem, using a question mark for the unknown amount. Determine which interpretation of division is involved (the how-many-groups or the now-many-units-in-1-group) and solve the problem.
If 252 dinner rolls are to be put in packages of 12, how many packages of dinner rolls can be made? If you have 506 stickers to give out equally to 23 children, how many stickers will each child get? Given that 1 gallon is 8 pints, how many gallons of water are 48 pints of water? If your car used 12 gallons of gasoline to drive 360 247 miles, then how many miles per gallon did your car get?

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Problem 503

6 apples
6 pomegranates
4 pomegranates
1 pineapple
Use any strategy to determine a combination of apples and pineapples that will balance the scale. \begin{tabular}{l|l} Apples & Pineapples \\ \hline & \end{tabular}
Explain how you know it will balance.

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Problem 504

This question is typical on some driver's license exams: A car moving at $42 \mathrm{~km} / \mathrm{h}$ skids 12 m with locked brakes.
How far will the car skid with locked brakes at $126 \mathrm{~km} / \mathrm{h}$ ? Assume that energy loss is due only to sliding friction.
Answer in units of $m$ .

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Problem 505

2 A recipe for making incense sticks calls for 6 tablespoons of joss powder, $1 \frac{1}{2}$ teaspoons of frankincense, and $\frac{3}{4}$ teaspoon of myrrh. To make incense sticks that would smell the same, how much of the other two ingredients would you need to mix with: a. 4 tablespoons of joss powder? b. 9 tablespoons of joss powder? c. 1 teaspoon of myrrh?

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Problem 506

Use technology to find points and then graph the function $y=2 \sqrt{x+1}$ , following the instructions below. done plotting points
Plot at least four points with integer coordinates that fit on the axes below. Click a point to delete it.

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Problem 507

Find an equation of the line with a $y$ -intercept at $(0,-5)$ and slope of 10. $y=$ $\square$ Write your answer in the slope-intercept form $y=m x+b$ . Question Help: $\square$ Video Submit Question

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Problem 508

Nento
Question 1 This question has two parts. First, answer part $A$ . Then, answer part $B$ . - Part $A$ $\because$ The model aiplane is 30 feet above the ground. Write an integer to represent the situation. (II) $\pi$

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Problem 509

Question 3
This question has two parts. First, answer Part A. Then, answer Part B. Part A At the zoo, 4 penguins were added to the new exhibit.
Write an integer to represent the situation.

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Problem 510

4. Determine the equation of the graphed function given that it is of the form $y=a \sin b x$ or $y=a \cos b x$ , where $b$ is positive.
Fnter your next step here $\square$

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Problem 511

Write an equation for the line that has a slope of $\frac{1}{2}$ and passes through $(6,-3)$ $y=$ Question Help: Video Submit Question

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Problem 512

Determine the equation of the line below using the given point and slope. Point: $(2,-5)$ , Slope: 4
Write your answer as an equation using variables x and y : $\square$ Question Help: Video 1 Video 2 Written Example 1 Submit Question

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Problem 513

Complete the table using the rule. $y=3 x^{2}$ \begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 1 & 2 & 3 & 4 & 10 \\ \hline $y$ & & & & & \\ \hline \end{tabular}

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Problem 514

Complete the table using the rule. $y=2 x^{2}-1$ \begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 1 & 2 & 3 & 4 & 10 \\ \hline $y$ & & & & & \\ \hline \end{tabular}

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Problem 515

- Jenny has a problem. She knows that the roots of a quadratic function are $x=$ $3+4 i$ and $x=3-4 i$ , but in order to get credit for the problem she needs to know the equation of the function. She is having a hard time with the complex roots, but luckily, her friends are full of advice. a. Mercedes says, "Just remember when we made factors from the roots. If the - roots are 7 and 4 the equation is $y=(x-7)(x-4)$ ." Use Mercedes's idea to help Jenny write the equation of a quadratic function. b. Darin says, "No, no, no. You can do it that way, but that's too complicated. If think you just start with $x=3+4 i$ and work bachwards. So $x-3=4 i$ , then, square both sides... Yeah, that lll work " Try Darin's method. c. Whose method do you think Jenny should use? Explain your choice.

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Problem 516

The population of a region is growing exponentially. There were 20 million people in 1980 (when $t=0$ ) and 65 million people in 1990. Find an exponential model for the population (in millions of people) at any time $t$ , in years after 1980. (Note: if you use decimal approximations for the numerical constants in your work, use as many decimal places as possible until entering your final answers. Round your final answers fo within three decimal places of accuracy.) $P(t)=$
What population do you predict for the year 2000? Predicted population in the year $2000=$ $\square$ million people. What is the doubling time? Doubling time $=$ $\square$ years.
Submit answer Next item

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Problem 517

Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Use a graphing utility to verify your result. Vertex: $(2,1)$ ; Point: $(4,-11)$ $y=$ $\square$ Need Helo? Read It Watch It

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Problem 518

Given a = 4 m, and Mo = 40 Nm, A Mo E Mo C G F TT B - a - — a - — a - Plot out the shear and moment diagrams for the beam.

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Problem 519

Consider the reduction of the rectangle. $18 \mathrm{in.}$
8 in. $x$ in. 3 in.
Write a proportion and then solve to find the missing measure of the reduced rectangle.
What two ratios can be used in the proportion?
What is the value of the missing measure?

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Problem 520

10 11 12
The Sugar sweet Company is going to transport its sugar to market. It will cost $\$ 3500$ to rent trucks, and it will cost an additional $\$ 175$ for each ton of sugar transported.
Let $C$ represent the total cost (in dollars), and let $S$ represent the amount of sugar (in tons) transported. Write an equation relating $C$ to $S$ . Then use this equation to find the total cost to transpyyt 12 tons of sugar.
Equation: $\square$
Total cost to transport 12 tons of sugar: $\square$ Check

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Problem 521

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 28 liters per minute. There are 400 liters in the pond to start. Let $W$ represent the total amount of water in the pond (in liters), and let $T$ represent the total number of minutes that water has been added. Write an equation relating $W$ to $T$ . Then use this equation to find the total amount of water after 14 minutes.
Equation: $\square$ $\square$ $\square$ $\square$ $=\square$ $\square$ -
Total amount of water after 14 minutes: $\square$ liters Save For Later Submit Assignment Check Privacy Center Aceesthin

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Problem 522

Graph the triangle with vertices $X(-3,2), Y(2,3)$ , and $Z(1,-1)$ and its image after a dilation with scale factor $k=-3$ .

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Problem 523

斒, Write the sentence as an equation. [唁] $a$ is the product of 256 and $a$ , increased by 368 [i].] Type a slash ( / ) if you want to use a division sign. $\square$ Submit

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Problem 524

(i) Write the sentence as an equation.
效, Type a slash ( / ) if you want to use a division sign. $\square$ Submit

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Problem 525

1) 「 $_{\text {A }}$ , Write the sentence as an equation. )) 层, $m$ times 221 is 133 $\square$ Submit

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Problem 526

Attempt 1: 10 attempts remaining. The town of Sickville, with a population of 9762 is exposed to the Blue Moon Virus, against which there is no immunity. The number of people infected when the virus is detected is 60 . Suppose the number of infections grows logistically (see logistic formula in question 4 above), with $k=0.84$ .
Find $b$ . $\square$ Find the formula for the number of people infected after $t$ days. $N(t)=$ $\square$ Find the number of people infected after 21 days. $\square$
Submit answer Next item

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Problem 527

15. Sara works at a store where she earns $\$ 13.50$ per hour. a. Write an equation that shows the relationship between the total amount of money in dollars Sara earns $d$ and the number of hours she works $h$ . $d=13.50$ $x h$ b. Sara works 35 hours. How much money does she earn? $d=47$ $2: 5$ 0 c. How many hours does Sara work to earn $\$ 675$ ?

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Problem 528

Given $a=5.3 \mathrm{~m}, b=2.65 \mathrm{~m}$ , and $W=5 \mathrm{~N} / \mathrm{m}$ ,
Plot out the shear and moment diagrams for the beam. To avoid losing marks, please note:
1. Make sure all answer fields are answered.
2. Note that the line should go from $A$ to $D$ in the positive $x$ direction. The in the question plot. If there are two points at the same location, the letter moment, while the other one is to the right of it.
3. You can drag the points or input them in the blanks below, in the syntax points have the correct x -coordinate given and cannot be changed.
4. Points with lower case letters are used to control the shape of the curve Their coordinates do not need to be precise.

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Problem 529

The graph of $y=f(x)$ is shown below. Draw the graph of $y=\frac{1}{2} f(x)$ .

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Problem 530

Graph the line. $y=3 x+2$

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Problem 531

11. (1 pts) A construction crew is digging a hole. The table below shows the proportional relationship between the depth of the hole and the amount of time spent digging. \begin{tabular}{|c|c|} \hline Hours & Depth in Feet \\ \hline $E C 2$ & -7 \\ \hline 4 & -14 \\ \hline $2 C 7$ & -24.5 \\ \hline $1 / 4$ & -15 \\ \hline \end{tabular}
Find the constant of proportionality. $y=14 x \quad(12)$
Find the amount of time it will take the crew to reach -15 feet. $y=14 x$

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Problem 532

Graph the logarithmic function $g(x)=\log _{2}(x+3)$ . To do this, plot two points on the graph of the function, and also draw the asymptote. Then, click on the graph-a-function button. Additionally, give the domain and range of the function using interval notation.
Domain: $\square$
Range: $\square$ $\infty$ $-\infty$

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Problem 533

9. Directions
Drag and drop the correct answer choice to each answer blank.
Formulate a linear and quadratic system of equations based on the following information: - The sum of two numbers is 13 . - The square of the smaller number minus the larger number equals 7 . - Let $x$ represent the smaller number.
Move the correct answer to each box. Not all answers will be used.

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Problem 534

Find a formula for the linear function depicted in the following graph. Enable Zoom/Pan

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Problem 535

4. Which of the following statements are equivalent? Draw area models to explain your answers. a) $\frac{3}{5}$ of $\frac{2}{9}=\frac{6}{45}$ b) $\frac{3}{2}$ of $\frac{5}{9}$ c) $\frac{2}{5}$ of $\frac{3}{9}$ d) $\frac{5}{2}$ of $\frac{3}{9} \frac{15}{18}$

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Problem 536

If $n=140$ and $\widehat{p}=0.55$ , construct a $99 \%$ confidence interval. Give your answers to three decimals $\square$ $<p<$ $\square$

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Problem 537

If $n=520$ and $\hat{p}=0.62$ , construct a $99 \%$ confidence interval.
Give your answers to three decimals. $\square$ $<p<$ $\square$

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Problem 538

11. A deposit of $\$ 2,500$ grew to $\$ 3,325$ after 6 years. What is the final value of a deposit of $\$ 7,500$ at the same interest rate for the same period of time?

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Problem 539

1 2 3 4 5 6 7 8.
The value of a car decreases by 20 percent per year. Mr. Sing purchases a $\$ 22,000$ automobile. What is the value of the car at the end of the second year? \$14,080 \$17,600 \$19,800 \$26,400

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Problem 540

A line that passes through the point $(-2,2)$ has a slope of $\frac{3}{8}$ .
If you use the slope to make another point, the coordinates of the new point are * Make sure point is located in quadrant I. ( type your answer... type your a

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Problem 541

Give a formula for the sequence given by $\frac{2}{1}, \frac{4}{2}, \frac{8}{6}, \frac{16}{24}, \ldots$

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Problem 542

13. CCSS Persevere with Problems The equation of a line is $y=-\frac{1}{2} x+6$ . Write an equation in point-slope form for the same line. Explain the steps that you used. $\qquad$ $\qquad$ $\qquad$

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Problem 543

raph for the equation $y=-\frac{1}{4}(2)^{x}$

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Problem 544

PRACTICE \& PROBLEM SOLVING APPLY
25. Model With Mathematics A glazier is setting supports in parallel segments to prevent glass breakage during storms. What are the values of $x$ and $y$ ? Justify your conclusions. () MP. 4
26. Reason In the parking lot shown, all of the lines for the parking spaces should be parallel. If $m \angle 3=61$ , what should $m \angle 1$ and $m \angle 2$ be? Explain. (c) MP. 2
27. Communicate Precisely Margaret is in a boat traveling due west. She turned the boat $50^{\circ}$ north of due west for a couple of minutes to get around a peninsula. Then she resumed due west again. (-) MP. 6 a. How many degrees would she turn the wheel to resume a due west course? b. What type of angle pair did she use? Are the angles congruent or supplementary?
8. Parallel lines $m$ and $n$ intersect parallel lines $x$ and $y$ , representing two sets of intersecting railroad tracks. If the minimum measure for $\angle 1$ is $101^{\circ}$ and the maximum measure for $\angle 1$ is $106^{\circ}$ , what are the minimum and maximum measures for $\angle 2$ ?
ASSESSMENT PRACTICE
29. Classify each angle as congruent to $\angle 1$ or congruent to $\angle 2$ .
30. SAT/ACT In the diagram, $a \| b$ . What is $m \angle 1$ ? (A) 28 (C) 90 (B) 62 (D) 118
31. Performance Task Students on a scavenger hunt are given the map shown and several clues.
Part A The first clue states the following. Skyline Trail forms a transversal with Wood Path and Mission Path. Go to the corners that form same side exterior angles north of Skyline Trail. Which two corners does the clue mean? Use intersections and directions to explain. Part B If the second clue states the following, what trail marker should they go to? Wood and Mission Paths are parallel, and the northeast corner of Wood Path and Skyline Trail forms a $131^{\circ}$ angle. The measure of the angle formed by the southwest corner of Skyline Trail and Mission Path is equal to the trail marker number on River Trail you must go to.

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Problem 545

Problems 2.3-2.4 Here is a tape diagram representing the ratio of red paint to yellow paint in a mixture of orange paint.
Here is your ratio from the previous screen: $3: 2$
Complete the table below to show the amount of yellow and red paint needed to make each quantity of orange paint. \begin{tabular}{c|c|c|} \hline Orange (gal.) & Red (gal.) & Yellow (gal.) \\ \hline 25 & & \\ \hline 30 & & \\ \hline \end{tabular}

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Problem 546

Round answers to the hundredths place:
6. Change $\vec{v}$ to the component form of a vector if $\vec{v}$ is 13 units long and has a direction angle of $219^{\circ}$ .

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Problem 547

How many milliliters of a $0.263 \mathrm{MBa}\left(\mathrm{NO}_{3}\right)_{2}$ solution will provide 1.355 grams of barium nitrate? a. $\quad 78.8 \mathrm{~mL}$ b. $\quad 39.4 \mathrm{~mL}$ c. $\quad 9.86 \mathrm{~mL}$ d. $\quad 19.7 \mathrm{~mL}$ e. $\quad 67.4 \mathrm{~mL}$

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Problem 548

Q10.
Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77 Find the ratio of Jay's age to Kiaria's age to Martha's age.

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Problem 549

Lesson 16 Review - DORISM...
1 A balloon is 5 feet above the ground. It is released and floats up 6 feet every second. Write an equation to model the height of the balloon as a function of time in seconds. Write your answers in the blanks.

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Problem 550

Find the exponential function of the form $f(x)=a^{x}$ that contains the given point. Point: $\left(3, \frac{1}{125}\right)$ $f(x)=5^{x}$ $f(x)=3^{x}$ $f(x)=\left(\frac{1}{3}\right) x$ $f(x)=\left(\frac{1}{5}\right) x$ None of these answers

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Problem 551

Try Again Your answer is incorrect. - Output=3: Your answer is Incorrect.
Use this rule to fill in the table. Rule: Divide the input by 3 to get the output.
Divide by 3 \begin{tabular}{|c|c|} \hline Input & Output \\ \hline 6 & 2 \\ \hline $\square$ & 3 \\ \hline 18 & 6 \\ \hline \end{tabular}

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Problem 552

Write the correct formula for the following compounds. (a) strontium iodide $\mathrm{Sr}^{-} \mathrm{I}_{2}$ (b) iron(II) sulfide $\square$ (c) ammonium sulfite $\square$ (d) sodium chromate $\square$

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Problem 553

Question 8
Write an equation for a rational function with: Vertical asymptotes at $x=-4$ and $x=6$ $x$ intercepts at $x=1$ and $x=5$ Horizontal asymptote at $y=6$ $y=$ Question Help: Video Message instructor Submit Question

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Problem 554

Question Watch Video Show Examples
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. A total of 10 cars were rented which can hold 66 people altogether. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.
Answer Attempt 1 out of 3 $\square$

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Problem 555

Question ID: 108445
The sum of Sharon's and John's ages is 70 . Sharon is 4 times as old as John. If you let $s=$ Sharon's age and $j=$ John's age, then the problem can be represented by a system of equations. Which of the following shows a graph of this system and the solution to this problem?

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Problem 556

Use $n=6$ and $p=0.5$ to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters. \begin{tabular}{cc} $\mathbf{x}$ & $\mathbf{P ( x )}$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline 3 & $\square$ \\ \hline 4 & $\square$ \\ \hline 5 & $\square$ \\ \hline 6 & $\square$ \\ \hline \end{tabular} (Round to four decimal places as needed.)

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Problem 557

Q6 (6 points) Find the general equation of the plane containing the origin and points $P(1,2,3)$ and $Q(1,-1,1)$ .

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Problem 558

6. A $\$ 2400$ investment earns $4.4 \%$ interest, compounded semi-annually. a) Write an equation for the value of the investment as a function of time, in years. b) How long will it take for the investment to reach $\$ 3500$ , to the nearest tenth of a year?

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Problem 559

Sabah has $\$ 450$ to pay for college textbooks. She expects to pay about $\$ 75$ per book. Her friend told her that 4 of them can be checked out of the library for free.
Complete the equation below to find the total number of books that Sabah can get for her classes. Use $b$ to represent the total books. CLEAR CHECh $\square$ ( $\square$ - $\square$ $\square$

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Problem 560

Teenage girls should have 9.5 grams of a certain vitamin every 30 days. Latasia has had 0.38 gram of the vitamin every day.
Detine units for the length of time Latasia has been consuming the vitamin and the amount of the vitamin Latasla still needs to consume this month. Enter a variable for the iengeth of thme Latasia has been consuming the vitamin and use this variable to write an sanvessionfor the amount of the vitamin Latasia still needs to consume this month. After completing the worksheet, graph your model.

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Problem 561

Unit Overview Step-by-Step Sample Problem Hints
Pearl spent $\$ 414.40$ getting outfitted for a deer hunting trip, and she paid a guide $\$ 16.50$ an hour on the trip. The first deer Pearl saw after three days (21 hours of hunting), however, was when she arrived back home and found a big buck eating her begonias.
Define units for the time Pearl was on the deer hunting trip and the amount she spent. Enter a variable for the time Pearl was on the deer hunting trip and use this variable to write an expression for the amount she spent. \begin{tabular}{|c|c|c|} \hline Quantity Name & Time on Trip & Amountspent: \\ \cline { 2 - 3 } Unit & hour & dollars \\ \hline Expression & $m$ & \\ \hline \end{tabular} ABC Choose Variable $44 \%$ Mostly cloudy Search

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Problem 562

Find the equation of the exponential function represented by the table below: \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 0.02 \\ \hline 1 & 0.01 \\ \hline 2 & 0.005 \\ \hline 3 & 0.0025 \\ \hline \end{tabular}

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Problem 563

data below shows the average cost of a loaf of white bread. \begin{tabular}{|c|c|} \hline Year & \begin{tabular}{c} Average Cost for a \\ Loaf of White \\ Bread \end{tabular} \\ \hline 1980 & $\$ 0.50$ \\ \hline 1985 & $\$ 0.55$ \\ \hline 1990 & $\$ 0.69$ \\ \hline 1995 & $\$ 0.77$ \\ \hline 2000 & $\$ 0.91$ \\ \hline 005 & $\$ 1.00$ \\ \hline 007 & $\$ 1.15$ \\ \hline \end{tabular} a. Write the equation for line of best fit where $x$ represents yea since 1980 and $y$ represents the cost of bread. b. What is the coefficient of correlation? 0.9859 c. What does it tell us about the data? $\qquad$ d. Predict the cost of bread in 2012. $\qquad$

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Problem 564

Select the correct answer.
Create a matrix for this linear system: $\left\{\begin{array}{c} x+3 y+2 z=26 \\ x-3 y+4 z=2 \\ 2 x+y+z=8 \end{array}\right.$
What is the solution of the system? A. $\left(\frac{-10}{7}, \frac{40}{7}, \frac{36}{7}\right)$ B. $\left(\frac{-10}{7}, \frac{24}{7}, \frac{40}{7}\right)$ C. $\left(\frac{-5}{7}, \frac{24}{7}, \frac{40}{7}\right)$ D. $\left(\frac{-5}{7}, \frac{40}{7}, \frac{36}{7}\right)$

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Problem 565

Express the following set of linear equations in matrix form: $\begin{aligned} 2 x_{1}+4 x_{2}-5 x_{3} & =-7 \\ x_{1}-3 x_{2}+x_{3} & =10 \\ 3 x_{1}+5 x_{2}+3 x_{3} & =2 \end{aligned}$

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Problem 566

$3^{\text {rd }}$ point on the line: You Try 3: Given the point $(-3,-1)$ and slope $\qquad$ 5 Find a second point on the line that lies to the right of the given point.

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Problem 567

A golf ball is hit at an angle of $45^{\circ}$ with the horizontal. If the initial velocity of the ball is $52 \mathrm{~m} / \mathrm{s}$ , how far will it travel horizontally before striking the ground?

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Problem 568

16. Write the equation in slope-intercept form of the line that passes through the points $(-6,-10)$ and $(21,8)$ .
17. What is the equation in slope-intercept form of a line that passes through the point $(2,4)$ and is perpendicular to the x-axis? A. $y=2$ C. $y=4$ B. $x=2$ D. $x=4$
18. What is the equation in slope-intercept form of a line that passes through the point $(8,-14)$ and is parallel to $y=\frac{1}{2} x-4 ?$ A. $y=-2 x+2$ C. $y=-2 x-4$ B. $y=\frac{1}{2} x-18$ D. $y=\frac{1}{2} x+2$
19. Write an equation for the line that is perpendicular to the $y$ -axis and has the same $y$ -intercept as the line $y=3.6 x-4.9$ . A. $y=-4.9$ C. $y=3.6$ B. $x=3.6$ D. $x=-4.9$
20. What is the equation of the line that is parallel to $-4 x-2 y=12$ and passes through the point $(4,1) ?$ A. $y=-2 x-7$ B. $y=2 x-7$ C. $y=2 x-9$ D. $y=\frac{1}{2} x-1$

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Problem 569

Date $\qquad$ Period $\qquad$ Graph the function with the given characteristics. 2) $x$ -intercept: $(0,0),(3,0)$ $y$ -intercept: $(0,0)$ Linearity: nonlinear Continuity: continuous Increasing: for all values of $x<1$ and $x>3$ Decreasing: for all values of $1<x<3$ Extrema: maximum at $(1,4)$ $\text { minimum at }(3,0)$
End Behavior: As $x \rightarrow-\infty, f(x) \rightarrow-\infty$ As $x \rightarrow \infty, f(x) \rightarrow \infty$

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Problem 570

9 Luis vende sopaipillas a un precio fijo por unidad. Alfredo le compró una docena por $\$ 1800$ , ¿cuál es el costo $c$ de comprar $s$ sopaipillas?
A $c=150$ s B $c=1800 s$ C $c=\frac{1}{150} s$ D $c=\frac{1}{1800} s$

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Problem 571

The half-life of radioactive strontium-90 is approximately 30 years. In 1961, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until only 9 percent of the original amount absorbed remains? time = $\square$ years

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Problem 572

Find an equation of the hyperbola having foci at $(2,-1-\sqrt{52})$ and $(2,-1+\sqrt{52})$ and asymptotes at $y=\frac{2}{3} x-\frac{7}{3}$ and $y=-\frac{2}{3} x+\frac{1}{3}$ .

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Problem 573

Find an equation of the hyperbola having foci at $(3,-1-\sqrt{45})$ and $(3,-1+\sqrt{45})$ and asymptotes at $y=2 x-7$ and $y=-2 x+5$ .

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Problem 574

In the figure, $m \angle 1=(5 x)^{\circ}$ and $m \angle 2=(x-6)^{\circ}$ . (b) Find the degree measure of each angle. $\begin{array}{l} m \angle 1=\square^{\circ} \\ m \angle 2=\square^{\circ} \end{array}$ (a) Write an equation to find $x$ . Make sure you use an "=" sign in your answer.
Equation: $\square$
$\times$ 5

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Problem 575

In the figure, $m \angle 1=(6 x)^{\circ}$ and $m \angle 2=(x+19)^{\circ}$ . (a) Write an equation to find $X$ , Make sure you use an " = " sign in your answer.
Equation: $\square$ 1 2 (b) Find the degree measure of each angle. $\begin{array}{l} m \angle 1=\square^{\circ} \\ m \angle 2=\square^{\circ} \end{array}$

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Problem 576

Frasier ran a lemonade stand at a village fair for 3 days. He spent a total of $£ 15$ to hire the stand. On each of the 3 days, he spent $£ 10$ on ingredients and sold $£ 22$ wortr of lemonade. a) Using the information above, write a calculation for the amount of money that Frasier made in total. b) Use your calculation to work out how much money Frasier made. Give your answer in pounds $(£)$ . Watch video

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Problem 577

\begin{tabular}{|l|l|} \hline \begin{tabular}{l} Speed \\ (mph) \end{tabular} & \begin{tabular}{l} Mileage (miles per \\ gallon) \end{tabular} \\ \hline 15 & 22.3 \\ \hline 25 & 27.5 \\ \hline 35 & 28.8 \\ \hline 45 & 29.9 \\ \hline 55 & 30.4 \\ \hline 65 & 27.4 \\ \hline 75 & 23.3 \\ \hline \end{tabular}
Find the quadratic model of the data set provided. Round to the nearest thousandth. Model: $f(x)=$ type your answer... $\square$ $x^{2}+$ type your answer.. e type y

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Problem 578

A house was valued at $\$ 302,000$ . Over several years, the value decreased by $17 \%$ , giving the house a new value. (a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal. New value $=$ $\square$ × Old value (b) Use your answer in part (a) to determine the new value.
New value: $\$$ $\square$

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Problem 579

Calculate the compound interest earned on an account with an initial investment of $\$ 1200$ at $3.4 \%$ compounded semi-annually over 4 years. Show your formula.

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Problem 580

m = #3 -5-4-3-2-172345 #4 A pilot takes a taxi to the airport. The taxi driver charges a $2.50 initial charge plus$ 2.65 per mile. Write an equation to find y, the total cost of the trip, if x is the number of miles for the trip. m= b = Equation: y= #5 m = b = Equation: y #6 A pool already contains 189 gallons of water. The pool begins to leak at a rate of 8 gallons per minute. Write an equation that shows y, the total number of gallons in the pool x minutes after Bob began to fill it. 8 + 2 -10-8-6-4-2 2 4 5 8 10 4 8 Equation: y = b = m = Equation: y = b =

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Problem 581

A repair person charges a travel fee to visit a home and an hourly fee for the time spent fixing a leak. A repair that takes 2 h costs $\$ 100$ . A repair that takes 6 h costs $\$ 260$ .
Write an equation to represent the total cost of a repair, $y$ , as a function of the number of hours spent fixing a leak, $x$ .

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Problem 582

Ryan currentty has $\$ 50$ in savings. He had been saving $\$ 8$ each week. Yesterday he spent $\$ 142$ of the savings. For how many weeks had he been saving? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 50,8 , and 142 . Let $w$ represent the number of weeks. $\square w+\square=$ $\square$
$\square$ w - $\square$ $\square$ J $=$ (b) Solve the equation in part (a) to find the number of weeks. $w=\square$

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Problem 583

Find an equation for the inverse function. $\begin{array}{l} f(x)=\log (x-8)+4 \\ f^{-1}(x)=\square \end{array}$ $\square$ $\square \log \square$

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Problem 584

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 360 minutes, the monthly cost will be $\$ 183$ . If the customer uses 800 minutes, the monthly cost will be $\$ 381$ . A) Find an equation in the form $y=m x+b$ , where $x$ is the number of monthly minutes used and $y$ is the total monthly of the Splint plan.
Answer: $y=$ $\square$ B) Use your equation to find the total monthly cost if 910 minutes are used.
Answer: If 910 minutes are used, the total cost will be $\square$ dollars.

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Problem 585

Systems of Equations and Inequalities: Tutorial ? Question
Projectile motion can be modeled by this quadratic equation, where $y$ represents the height of the object, in feet and $t$ represents time, in seconds. $y=-16 t^{2}+v_{0} t+h_{0}$
Note that $v_{0}$ and $h_{0}$ are values representing the object's initial upward velocity and initial height, respectively. Suppose two science club members have each thrown a tennis ball into the air. The first student throws the ball from a height of 3 feet with an initial upward velocity of 15 feet/second. The second student throws the ball from a height of 4 feet with an initial upward velocity of 35 feet/second.
First write a system of equations to represent this situation. Then use the graphing tool to find and analyze the solution. Select the correct answer from each drop-down menu.
First student: $y=-16 t^{2}+$ $\square$ $\square$ Second student: $y=-16 t^{2}+$ $\square$ $\square$ The solution to this system of nonlinear equations is time. $\square$ because it results in a $\square$ value of

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Problem 586

Below is the graph of $y=x^{2}$ . Translate it to make it the graph of $y=(x+1)^{2}-4$ .

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Problem 587

2 (Lesson 30) Directions - Identify the key components, create a compound interest equation, and answer the questions. You Invest $\$ 4000$ into an account that compounds interest on a quarterly basis at $3 \%$ . How much money will you have after 5 years? Compound interest formula: $A=P\left(1+\frac{r}{n}\right.$ ) a) $P=$ $\square$ e) Write the compound interest equation that would be used to solve this problem. $\square$ f) Value after 5 years = b) $r=$ $\square$ (round to two decimal places) $\square$ c) $n=$ $\square$ d) $\mathrm{t}=$ $\square$

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Problem 588

Algéra 1 STAAR-Regression table math answers studenl.desmos.com/activilybuilder/instance/673667d22a5d28b1c537a639/student/67379c28163936e67015 Why did Islam Spre_ Copy of Patterns of Unblocked Games -... Unblocked Games - Vandalizing My Ow.. - Regression ARTINEZ \#5a
The table below shows the height of a ball $y$ (in feet) at different times $x$ (in seconds) after it was thrown into the air. Use the data in the table to answer the questions. \begin{tabular}{|c|c|} \hline Time & Height \\ \hline 0 & 4 \\ \hline 1 & 18 \\ \hline 2 & 24 \\ \hline 3 & 22 \\ \hline \end{tabular}
What model best fits this data
$y=-4 x^{2}+18 x+4$ $y=-3 x^{2}+12 x+4$ $y=-3 x^{2}+18 x+4$ $y=-4 x^{2}+12 x+4$

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Problem 589

\#5b
The table below shows the height of a ball $y$ (in feet) at different times $x$ (in seconds) after it was thrown into the air. Use the data in the table to answer the questions. \begin{tabular}{|c|c|} \hline Time & Height \\ \hline 0 & 4 \\ \hline 1 & 18 \\ \hline 2 & 24 \\ \hline 3 & 22 \\ \hline \end{tabular}
What is your best prediction of the ball height after 4 second? 18 feet 12 feet 15 feet

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Problem 590

gression \#8a
A company is tracking its daily profit $y$ based on the number of ads $x$ it runs online each day. The table below shows the data the company collected. Use this data to answer the questions. \begin{tabular}{|c|c|} \hline Number of Ads & Profit \\ \hline 1 & 20 \\ \hline 2 & 35 \\ \hline 3 & 45 \\ \hline 4 & 50 \\ \hline 5 & 45 \\ \hline 6 & 35 \\ \hline \end{tabular}
Based on the table, what is the best model to $r$ $26.3 x^{2}-3.3 x-3.5$ $-3.3 x^{2}+26.3 x-3.5$ $-2.3 x^{2}-20.3 x+2$ $-3.5 x^{2}+26.3 x+2.3$

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Problem 591

TAAR - Regression Unblocked Games -... Unblocked Games -... Vandalizing My Ow... New Tab IAN MARTINEZ 11 of 1 \#6b
The table below shows the relationship between the number of books a student reads and their reading score. \begin{tabular}{|c|c|} \hline Books Read, $x$ & Reading Score, $y$ \\ \hline 4 & 80 \\ \hline 6 & 100 \\ \hline 8 & 120 \\ \hline 10 & 140 \\ \hline 12 & 160 \\ \hline \end{tabular}
Using the line of best fit from the table, what is the predicted reading score for a student who reads for $\mathbf{1 5}$ hours? $\square$

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Problem 592

A truck that can carry no more than 8000 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 200 lb and each piano weighs 475 lb . Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 20 refrigerators and 9 pianos overload the truck? Explain.
Let $x$ be the number of refrigerators in the truck and $y$ be the number of pianos in the truck. Write an inequality to show how many refrigerators and how many pianos the truck could carry. y $\square$ $\square$ (Use integers or simplified fractions for any numbers in the inequality. Do not factor.)

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Problem 593

In Exercises 3-4, write an equation in standard form of the line that passes through the given points. 3. 4.

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Problem 594

Jse for \# 8-11 It is commonly accepted that $70 \%$ of all apartment dwellers in Gotham City deadbolt their doors in addition to locking them as an added precaution against burglary. A newpaper story reports that a recent survey of 20 idomly selected apartment dwellers in Kings, one of the boroughs of the city, found that 16 of the 20 respondents deadbolt their doors. The reporter concluded that "since 16 out of 20 is $80 \%$ , it seems that Kings residents are more worried about burglary than the city as a whole." We want to use simulation to test this conclusion by determining how likely it would be to select a sample of 20 with 16 or more deadbolters from a population where only $70 \%$ are deadbolters.
8. Describe in words how you would use the table of random digits below to simulate a single simple random sample of 20 apartment dwellers (one trial).
9. Use the random digit table reproduced below to simulate an SRS of 20 apartment dwellers. You may show your work on the table or make a separate listing. \begin{tabular}{llllll} 71487 & 09984 & 29077 & 14863 & 61683 & 47052 \\ 62224 & 51025 & 35476 & 55972 & 39421 & 65850 \\ 4266 & 35435 & 43742 & 11937 & & \end{tabular}
10. How many people were deadbolters in your simulated sample from \#9?
11. For timed-test purposes, this was only one trial. Carefully describe how you would conduct the entire simulation to answer the question at hand if you had a larger table of random digits and more time.

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Problem 595

5. What is the equation of the graph below? Clea

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Problem 596

4. A random sample of people was asked to report the age and distance driven of their first car. A line was fit to the data to model the relationship.
Write an equation of the line of best fit in $\mathbf{y}=\mathbf{m x + b}$ : Steps:
1. Identify $y$ -intercept (where the line crosses the y -axis) y -intercept, $\mathrm{b}=(\mathrm{O}$ , $\qquad$ )
2. Identify another point on the line (it has to be on the line)
2nd point ( $\qquad$ , $\qquad$ )
3. Find slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ between these two points $\mathrm{m}=$ $\qquad$ $=$
4. Substitute $m$ and $b$ values into $y=m x+b$ $y=$ $\qquad$

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Problem 597

6. Given the vertex $(2,-5)$ and $y$ -intercept $(0,-4)$ , what is the vertex form of this quadratic equation?
Identify the given $h, k, x$ , and $y$ -value to substitute into the Vertex Form: $y=a(x-h)^{2}+k$ Then solve for " $a$ " value that is needed to complete the vertex form. $\begin{array}{l} h=2 \quad k=-5 \quad y=-4 x=0 \\ y=a(x-h)^{2}+k \\ -4=a(0-2)^{2}-5 \\ -4=a c \end{array}$

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Problem 598

$\begin{array}{l} f(x)=2 x^{2}-5 x-3 \\ g(x)=2 x^{2}+5 x+2 \end{array}$
Find: $\left(\frac{f}{g}\right)(x)$ $\frac{x+3}{x+2}$ $\frac{x-3}{x+2}$ $x^{2}-1 x-\frac{3}{2}$ $\frac{2 x^{2}-5 x-3}{2 x^{2}+5 x+2}$

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Problem 599

Fill in the missing numbers to complete the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 1 & 0 \\ \hline 2 & 1 \\ \hline 3 & 2 \\ \hline 4 & 3 \\ \hline \end{tabular} $y=$ $\square$ $\square$
Save answer

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Problem 600

For the year ending December 31, 2022, Cobb Company accumulates the following data for the Plastics Division, which it operates as an investment center: contribution margin $-\$ 700,000$ budget, $\$ 710,000$ actual; controllable fixed costs $-\$ 300,000$ budget, $\$ 302,000$ actual. Average operating assets for the year were $\$ 2,000,000$ .
Prepare a responsibility report for the Plastics Division beginning with contribution margin for the year ending December 31, 2022. (Round ROI to 1 decimal place, e.g. 1.5\%.)
COBB COMPANY Plastics Division Responsibility Report

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1 ...3 4 5 6 7 8 9 ...42

Model

Problem 501

Give a parametric equation representation for each curve. a)y=x5−xx(t)=□y(t)=□\begin{array}{l} a) y=x^{5}-x \\ x(t)=\square \\ y(t)=\square \end{array}a)y=x5−xx(t)=□y(t)=□​ b) 9x2+y2=19 x^{2}+y^{2}=19x2+y2=1 x(t)=x(t)=x(t)= □\square□ y(t)=y(t)=y(t)= □\square□

Problem 502

Problem 503

6 apples6 pomegranates4 pomegranates1 pineappleUse any strategy to determine a combination of apples and pineapples that will balance the scale. \begin{tabular}{l|l} Apples & Pineapples \\ \hline & \end{tabular}Explain how you know it will balance.

Problem 504

Problem 505

Problem 506

Use technology to find points and then graph the function y=2x+1y=2 \sqrt{x+1}y=2x+1​, following the instructions below. done plotting pointsPlot at least four points with integer coordinates that fit on the axes below. Click a point to delete it.

Problem 507

Find an equation of the line with a yyy-intercept at (0,−5)(0,-5)(0,−5) and slope of 10. y=y=y= □\square□ Write your answer in the slope-intercept form y=mx+by=m x+by=mx+b. Question Help: □\square□ Video Submit Question

Problem 508

NentoQuestion 1 This question has two parts. First, answer part AAA. Then, answer part BBB. - Part AAA ∵\because∵ The model aiplane is 30 feet above the ground. Write an integer to represent the situation. (II) π\piπ

Problem 509

Question 3This question has two parts. First, answer Part A. Then, answer Part B. Part A At the zoo, 4 penguins were added to the new exhibit.Write an integer to represent the situation.

Problem 510

4. Determine the equation of the graphed function given that it is of the form y=asin⁡bxy=a \sin b xy=asinbx or y=acos⁡bxy=a \cos b xy=acosbx, where bbb is positive.Fnter your next step here □\square□

Problem 511

Write an equation for the line that has a slope of 12\frac{1}{2}21​ and passes through (6,−3)(6,-3)(6,−3) y=y=y= Question Help: Video Submit Question

Problem 512

Determine the equation of the line below using the given point and slope. Point: (2,−5)(2,-5)(2,−5), Slope: 4Write your answer as an equation using variables x and y : □\square□ Question Help: Video 1 Video 2 Written Example 1 Submit Question

Problem 513

Complete the table using the rule. y=3x2y=3 x^{2}y=3x2 \begin{tabular}{|l|l|l|l|l|l|} \hlinexxx & 1 & 2 & 3 & 4 & 10 \\ \hlineyyy & & & & & \\ \hline \end{tabular}

Problem 514

Complete the table using the rule. y=2x2−1y=2 x^{2}-1y=2x2−1 \begin{tabular}{|l|l|l|l|l|l|} \hlinexxx & 1 & 2 & 3 & 4 & 10 \\ \hlineyyy & & & & & \\ \hline \end{tabular}

Problem 515

Problem 516

Problem 517

Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Use a graphing utility to verify your result. Vertex: (2,1)(2,1)(2,1); Point: (4,−11)(4,-11)(4,−11) y=y=y= □\square□ Need Helo? Read It Watch It

Problem 518

Given a = 4 m, and Mo = 40 Nm, A Mo E Mo C G F TT B - a - — a - — a - Plot out the shear and moment diagrams for the beam.

Problem 519

Consider the reduction of the rectangle. 18in.18 \mathrm{in.}18in.8 in. xxx in. 3 in.Write a proportion and then solve to find the missing measure of the reduced rectangle.What two ratios can be used in the proportion?What is the value of the missing measure?

Problem 520

Problem 521

Problem 522

Graph the triangle with vertices X(−3,2),Y(2,3)X(-3,2), Y(2,3)X(−3,2),Y(2,3), and Z(1,−1)Z(1,-1)Z(1,−1) and its image after a dilation with scale factor k=−3k=-3k=−3.

Problem 523

斒, Write the sentence as an equation. [唁] aaa is the product of 256 and aaa, increased by 368 [i].] Type a slash ( / ) if you want to use a division sign. □\square□ Submit

Problem 524

(i) Write the sentence as an equation.效, Type a slash ( / ) if you want to use a division sign. □\square□ Submit

Problem 525

1) 「 A _{\text {A }}A ​, Write the sentence as an equation. )) 层, mmm times 221 is 133 □\square□ Submit

Problem 526

Problem 527

Problem 528

Problem 529

The graph of y=f(x)y=f(x)y=f(x) is shown below. Draw the graph of y=12f(x)y=\frac{1}{2} f(x)y=21​f(x).

Problem 530

Graph the line. y=3x+2y=3 x+2y=3x+2

Problem 531

Problem 532

Problem 533

Problem 534

Find a formula for the linear function depicted in the following graph. Enable Zoom/Pan

Problem 535

Problem 536

If n=140n=140n=140 and pundefined=0.55\widehat{p}=0.55p​=0.55, construct a 99%99 \%99% confidence interval. Give your answers to three decimals □\square□ <p<<p<<p< □\square□

Problem 537

If n=520n=520n=520 and p^=0.62\hat{p}=0.62p^​=0.62, construct a 99%99 \%99% confidence interval.Give your answers to three decimals. □\square□ <p<<p<<p< □\square□

Problem 538

11. A deposit of $2,500\$ 2,500$2,500 grew to $3,325\$ 3,325$3,325 after 6 years. What is the final value of a deposit of $7,500\$ 7,500$7,500 at the same interest rate for the same period of time?

Problem 539

1 2 3 4 5 6 7 8.The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000\$ 22,000$22,000 automobile. What is the value of the car at the end of the second year? \$14,080 \$17,600 \$19,800 \$26,400

Problem 540

A line that passes through the point (−2,2)(-2,2)(−2,2) has a slope of 38\frac{3}{8}83​.If you use the slope to make another point, the coordinates of the new point are * Make sure point is located in quadrant I. ( type your answer... type your a

Problem 541

Give a formula for the sequence given by 21,42,86,1624,…\frac{2}{1}, \frac{4}{2}, \frac{8}{6}, \frac{16}{24}, \ldots12​,24​,68​,2416​,…

Problem 542

13. CCSS Persevere with Problems The equation of a line is y=−12x+6y=-\frac{1}{2} x+6y=−21​x+6. Write an equation in point-slope form for the same line. Explain the steps that you used. \qquad \qquad \qquad

Problem 543

raph for the equation y=−14(2)xy=-\frac{1}{4}(2)^{x}y=−41​(2)x

Problem 544

Problem 545

Problem 546

Round answers to the hundredths place:6. Change v⃗\vec{v}v to the component form of a vector if v⃗\vec{v}v is 13 units long and has a direction angle of 219∘219^{\circ}219∘.

Problem 547

Problem 548

Q10.Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77 Find the ratio of Jay's age to Kiaria's age to Martha's age.

Give a parametric equation representation for each curve. $\begin{array}{l} a) y=x^{5}-x \\ x(t)=\square \\ y(t)=\square \end{array}$ b) $9 x^{2}+y^{2}=1$ $x(t)=$ $\square$ $y(t)=$ $\square$

6 apples
6 pomegranates
4 pomegranates
1 pineapple
Use any strategy to determine a combination of apples and pineapples that will balance the scale. \begin{tabular}{l|l} Apples & Pineapples \\ \hline & \end{tabular}
Explain how you know it will balance.

Use technology to find points and then graph the function $y=2 \sqrt{x+1}$ , following the instructions below. done plotting points
Plot at least four points with integer coordinates that fit on the axes below. Click a point to delete it.

Find an equation of the line with a $y$ -intercept at $(0,-5)$ and slope of 10. $y=$ $\square$ Write your answer in the slope-intercept form $y=m x+b$ . Question Help: $\square$ Video Submit Question

Nento
Question 1 This question has two parts. First, answer part $A$ . Then, answer part $B$ . - Part $A$ $\because$ The model aiplane is 30 feet above the ground. Write an integer to represent the situation. (II) $\pi$

Question 3
This question has two parts. First, answer Part A. Then, answer Part B. Part A At the zoo, 4 penguins were added to the new exhibit.
Write an integer to represent the situation.

4. Determine the equation of the graphed function given that it is of the form $y=a \sin b x$ or $y=a \cos b x$ , where $b$ is positive.
Fnter your next step here $\square$

Write an equation for the line that has a slope of $\frac{1}{2}$ and passes through $(6,-3)$ $y=$ Question Help: Video Submit Question

Determine the equation of the line below using the given point and slope. Point: $(2,-5)$ , Slope: 4
Write your answer as an equation using variables x and y : $\square$ Question Help: Video 1 Video 2 Written Example 1 Submit Question

Complete the table using the rule. $y=3 x^{2}$ \begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 1 & 2 & 3 & 4 & 10 \\ \hline $y$ & & & & & \\ \hline \end{tabular}

Complete the table using the rule. $y=2 x^{2}-1$ \begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 1 & 2 & 3 & 4 & 10 \\ \hline $y$ & & & & & \\ \hline \end{tabular}

Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Use a graphing utility to verify your result. Vertex: $(2,1)$ ; Point: $(4,-11)$ $y=$ $\square$ Need Helo? Read It Watch It

Consider the reduction of the rectangle. $18 \mathrm{in.}$
8 in. $x$ in. 3 in.
Write a proportion and then solve to find the missing measure of the reduced rectangle.
What two ratios can be used in the proportion?
What is the value of the missing measure?

Graph the triangle with vertices $X(-3,2), Y(2,3)$ , and $Z(1,-1)$ and its image after a dilation with scale factor $k=-3$ .

斒, Write the sentence as an equation. [唁] $a$ is the product of 256 and $a$ , increased by 368 [i].] Type a slash ( / ) if you want to use a division sign. $\square$ Submit

(i) Write the sentence as an equation.
效, Type a slash ( / ) if you want to use a division sign. $\square$ Submit

1) 「 $_{\text {A }}$ , Write the sentence as an equation. )) 层, $m$ times 221 is 133 $\square$ Submit

The graph of $y=f(x)$ is shown below. Draw the graph of $y=\frac{1}{2} f(x)$ .

Graph the line. $y=3 x+2$

If $n=140$ and $\widehat{p}=0.55$ , construct a $99 \%$ confidence interval. Give your answers to three decimals $\square$ $<p<$ $\square$

If $n=520$ and $\hat{p}=0.62$ , construct a $99 \%$ confidence interval.
Give your answers to three decimals. $\square$ $<p<$ $\square$

11. A deposit of $\$ 2,500$ grew to $\$ 3,325$ after 6 years. What is the final value of a deposit of $\$ 7,500$ at the same interest rate for the same period of time?

1 2 3 4 5 6 7 8.
The value of a car decreases by 20 percent per year. Mr. Sing purchases a $\$ 22,000$ automobile. What is the value of the car at the end of the second year? \$14,080 \$17,600 \$19,800 \$26,400

A line that passes through the point $(-2,2)$ has a slope of $\frac{3}{8}$ .
If you use the slope to make another point, the coordinates of the new point are * Make sure point is located in quadrant I. ( type your answer... type your a

Give a formula for the sequence given by $\frac{2}{1}, \frac{4}{2}, \frac{8}{6}, \frac{16}{24}, \ldots$

13. CCSS Persevere with Problems The equation of a line is $y=-\frac{1}{2} x+6$ . Write an equation in point-slope form for the same line. Explain the steps that you used. $\qquad$ $\qquad$ $\qquad$

raph for the equation $y=-\frac{1}{4}(2)^{x}$

Round answers to the hundredths place:
6. Change $\vec{v}$ to the component form of a vector if $\vec{v}$ is 13 units long and has a direction angle of $219^{\circ}$ .

Q10.
Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77 Find the ratio of Jay's age to Kiaria's age to Martha's age.

Lesson 16 Review - DORISM...
1 A balloon is 5 feet above the ground. It is released and floats up 6 feet every second. Write an equation to model the height of the balloon as a function of time in seconds. Write your answers in the blanks.

Try Again Your answer is incorrect. - Output=3: Your answer is Incorrect.
Use this rule to fill in the table. Rule: Divide the input by 3 to get the output.
Divide by 3 \begin{tabular}{|c|c|} \hline Input & Output \\ \hline 6 & 2 \\ \hline $\square$ & 3 \\ \hline 18 & 6 \\ \hline \end{tabular}

Write the correct formula for the following compounds. (a) strontium iodide $\mathrm{Sr}^{-} \mathrm{I}_{2}$ (b) iron(II) sulfide $\square$ (c) ammonium sulfite $\square$ (d) sodium chromate $\square$

Question 8
Write an equation for a rational function with: Vertical asymptotes at $x=-4$ and $x=6$ $x$ intercepts at $x=1$ and $x=5$ Horizontal asymptote at $y=6$ $y=$ Question Help: Video Message instructor Submit Question

Question ID: 108445
The sum of Sharon's and John's ages is 70 . Sharon is 4 times as old as John. If you let $s=$ Sharon's age and $j=$ John's age, then the problem can be represented by a system of equations. Which of the following shows a graph of this system and the solution to this problem?

Q6 (6 points) Find the general equation of the plane containing the origin and points $P(1,2,3)$ and $Q(1,-1,1)$ .

6. A $\$ 2400$ investment earns $4.4 \%$ interest, compounded semi-annually. a) Write an equation for the value of the investment as a function of time, in years. b) How long will it take for the investment to reach $\$ 3500$ , to the nearest tenth of a year?

Find the equation of the exponential function represented by the table below: \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 0.02 \\ \hline 1 & 0.01 \\ \hline 2 & 0.005 \\ \hline 3 & 0.0025 \\ \hline \end{tabular}

$3^{\text {rd }}$ point on the line: You Try 3: Given the point $(-3,-1)$ and slope $\qquad$ 5 Find a second point on the line that lies to the right of the given point.

A golf ball is hit at an angle of $45^{\circ}$ with the horizontal. If the initial velocity of the ball is $52 \mathrm{~m} / \mathrm{s}$ , how far will it travel horizontally before striking the ground?

9 Luis vende sopaipillas a un precio fijo por unidad. Alfredo le compró una docena por $\$ 1800$ , ¿cuál es el costo $c$ de comprar $s$ sopaipillas?
A $c=150$ s B $c=1800 s$ C $c=\frac{1}{150} s$ D $c=\frac{1}{1800} s$

Find an equation of the hyperbola having foci at $(2,-1-\sqrt{52})$ and $(2,-1+\sqrt{52})$ and asymptotes at $y=\frac{2}{3} x-\frac{7}{3}$ and $y=-\frac{2}{3} x+\frac{1}{3}$ .

Find an equation of the hyperbola having foci at $(3,-1-\sqrt{45})$ and $(3,-1+\sqrt{45})$ and asymptotes at $y=2 x-7$ and $y=-2 x+5$ .