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The rectangle shown has a length of 3x+1 and a width of 2x.  Show your work. (3 points)

Find the perimeter.

Find the area.  

Find the perimeter and area if x=5.

Answers

Answer 1

Answer:

perimeter = 10x + 2

area = 6x^2 + 2x

perimeter = 52

area = 160

Step-by-step explanation:

perimeter = 2 * length + 2 * width

perimeter = 2(3x + 1) + 2(2x)

perimeter = 6x + 2 + 4x

perimeter = 10x + 2

area = length * width

area = (3x + 1)(2x)

area = (2x)(3x + 1)

area = 6x^2 + 2x

For x = 5:

perimeter = 10x + 2 = 10(5) + 2 = 50 + 2 = 52

area = 6x^2 + 2x = 6(5^2) + 2(5) = 6(25) + 10 = 150 + 10 = 160


Related Questions

which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x

Answers

None of these. All of these functions are defined as ratio of trigonometric functions.

Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.

Specifically, we have:

[tex]\csc(x) = \dfrac{1}{\sin(x)}[/tex]

which is undefined at

[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]

[tex]\sec(x) = \dfrac{1}{\cos(x)}[/tex]

which is undefined at

[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]

[tex]\tan(x) = \dfrac{\sin(x)}{\cos(x)}[/tex]

which is undefined at

[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]

[tex]\cot(x) = \dfrac{\cos(x)}{\sin(x)}[/tex]

which is undefined at

[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]

Jana has to solve a system of equations that contains an exponential function and a linear function. She decides to solve graphically and the graph she obtained is shown.

Is the complete solution shown? Why or why not?
A) Yes, since one of the equations is linear the two functions can only intersect once and the intersection point is shown.
B) Yes, since the slope of the line is not as great as the rate of change of the exponential the y-values will be greater and they will only intersect one time.
C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
D) No, even though the line has a smaller rate of change initially than the exponential, eventually the exponential will have to have a smaller rate of change than the linear since they are the fastest growing functions. Given that there must be at least one more intersection point somewhere near y = -1.

Answers

Answer:

If this is USATestPrep the answer is C

Step-by-step explanation:

Answer:

Option C is right.

Step-by-step explanation:

Jana has to solve a system of equations that contains an exponential function and a linear function.

C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.

Exponential will eventually exceed all other functions as they are the fastest growing functions.

6. Alex wants to buy a shirt that
costs $35.00.
• The store is having a 30%-off
sale.
• The sales tax for clothing is 6%.
How much will Alex pay for the
shirt?

Answers

Answer: 25.97

Explanation:

First you take 100-30=70

Then 70/100= 0.70

Multiply 0.70 by 35 give you 24.5

Than take 6% this time you will just divide by 100 so will be 6/100=0.06 how you are adding have put 1 in front that will result 1.06

Than take 24.5 multiply by 1.06 and get 25.97

Answer:

Hello, thank you for choosing Brainly to ask your question.

First, we have to find out what would 30% of 35 is.

To answer that, just use a common calculator or find out what 10% of it is and keep adding up.

So, 30 percent of 35 is 10.5.

Next, we have to find out what 6% of 24.50 is.

To find out the answer, you have to really use a calculator to find out. It would be way simpler and easier.

So, open your calculator. Then do "24.50 multiplied by 6%"

We are left with 1.47.

Now add 1.47 to 24.50. Your final answer is 25.97.

Have a good day and I hope I helped.:D

Mrs. Montoro's class is participating in the Math Olympics. Each week of the quarter, a challenging math question is posted, and the students individually try to correctly answer the question. The results of the Math Olympics are shown in the dot plot below.

Which of the following statements describe the distribution in the dot plot?
(choose all that is correct)

1. The mean is 5 questions answered correctly
2. most students answered between 3 and 6 questions correctly
3. the median is 5 questions answered correctly
4. the median is 4.5 questions answered correctly
5. most students answered between 5 and 7 questions correctly
6. the mean is 4.5 questions answered correctly
7. the students answered between 1 and 9 questions correctly

Answers

Answer: The correct answers are 1, 2, 4, 7

Step-by-step explanation:

Work for each problem:

1.)  1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9  Median: 5 * 2 = 10 / 2 = 5

2.) Correct: The most answers were answered between the numbers 3 and 5.

3.) 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9 (add all) = 108 / 24= 4.5

Answer:

the correct answers are

2. most students answered between 3 and 6 questions correctly

3. the median is 5 questions answered correctly

6. the mean is 4.5 questions answered correctly

7. the students answered between 1 and 9 questions correctly

Step-by-step explanation:

for #2-the shape of the data, more than half of the data lies between #3 and #6..so Most students answered between 3 and 6 questions correctly.

for #7-the lowest # of questions answered correctly is 1 and the highest # of questions answered is 9; so it makes Students answered between 1 and 9 questions correctly

What is the average rate of change of the function over the interval x = 0 to x = 8?

f(x)=3x+4
2x+7

Answers

Answer:

if f(x) = 3x+4, the rate of change is 4.

if f(x) = 2x+7, the rate of change is 2.

Step-by-step explanation:

We know that the average rate of change over the interval x=0 to x=8 is:

(f(x2) - f(x1))/x2-x1

Where:

x2 = 8

x1 = 0

if f(x) = 3x+4

so f(8)=3(8)+4 = 28

f(0)=3(0)+4 = 4

Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3

On the other hand, if f(x) = 2x+7

f(8) = 2(8)+7 = 23

f(0) = 2(0)+7 = 7

Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2

Please Help , Is It A,B,C Or D

Answers

Answer:

Im Gonna Have to Say B

Step-by-step explanation:

Omari is dividing 5 by 6. If he continues the process, what will keep repeating in the quotient?

Answers

Answer:

0.833333333333

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Dividing 5 by 6 not possible, add zero to to 5 to make it 50

so your quotient becomes 0. 8, you then multiply 8 by 6, it gives 48, you subtract 48 from 50, then you get 2 add zero at th back of 2, to make it 20.

Divide 20 by 6 again, then you will get 3, your quotient becomes 0.83, multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2, add 0 at the back of 2 to make it 20.

Divide 20 by 6, you will get 3, your quotient becomes 0.833. Multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2.

Add zero add the back of 2 to make it 20 and repeat the process.

You will keep getting 3

400 degree F is what in Centigrade

Answers

Answer:

400° F = 204.4° C

Step-by-step explanation:

We are given a temperature 400 degree in Fahrenheit and we are to convert in into a unit called Centigrade (also known as Celsius).

We know that 0 degree Centigrade is equal to 32 Fahrenheit so we will use the following formula to convert these units:

(32°F − 32) × 5/9 = 0°C

(400°F − 32) × 5/9 = 204.4° C

Final answer:

To convert 400 degrees Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.

Explanation:

To convert a temperature from Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. To convert 400 degrees Fahrenheit to Celsius, you can substitute the value of F as 400 in the formula: C = (400 - 32) * 5/9 = 204.4. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.

Find the area of the Diameter 5 minutes

Answers

Answer:

A= 19,63 units.

Step-by-step explanation:

The area of a circle is given by π r^2. Where "r" represents de radius.

In this case we know that de diameter is 5 units. Given that the radius is half of the diameter, then r=5/2 = 2.5 units.

Then the area of a circle is:

A= π r^2 = π (2.5 units)^2 = 19,63 units.

Find the slope of the straight line that passes through (–2, –4) and (3, –5)

Answers

Hello there!

The slope is -1/5.

To find the slope, subtract the y values over the x values.

- 5 - - 4 / 3 - - 2 - Since subtracting a negative is the same as adding a positive, you can rewrite the equation like this: - 5 + 4 / 3 + 2.

You are left with -1/5, this cannot be simplified so this is your final answer. I hope this helps and have a great day! :)

For this case we have that by definition, the slope of a line is given by:[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Only two points are needed through which the line passes.

Where:

[tex](x_ {1}, y_ {1}): (- 2, -4)\\(x_ {2}, y_ {2}) :( 3, -5)[/tex]

Substituting:

[tex]m = \frac {-5 - (- 4)} {3 - (- 2)}\\m = \frac {-5 + 4} {3 + 2}\\m = \frac {-1} {5}\\m = - \frac {1} {5}[/tex]

Answer:

[tex]m=-\frac{1}{5}[/tex]

Given: circle k(O)

m∠OFQ = 52°, m FQ = (5x+1)

Find: x

Answers

Answer:

x=15°

Step-by-step explanation:

step 1

Find the measure of arc QD

we know that

The inscribed angle is half that of the arc it comprises.

so

m∠OFQ=(1/2)[arc QD]

substitute the given value

52°=(1/2)[arc QD]

104°=[arc QD]

arc QD=104°

step 2

Find the value of x

Remember that the diameter divide the circle into two equal parts

so

arc FQ+arc QD=180°

we have

arc QD=104°

arc FQ=(5x+1)°

substitute

(5x+1)°+104°=180°

5x=180°-105°

x=15°

A turkey costs $12.75. You have 10$. How many much more do you need ?

Answers

Answer:

$2.75

Step-by-step explanation:

I hope this helps you

You need an additional $2.75 to purchase the turkey. In the bat and ball problem, the ball costs $0.05 and the bat costs $1.05.

To determine how much more money is needed to purchase the turkey, you need to subtract the amount of money you have from the cost of the turkey. Since the turkey costs $12.75 and you have $10, you simply calculate $12.75 - $10.00 which equals $2.75. Therefore, you need an additional $2.75 to buy the turkey.

Let's now look at a similar problem. If a bat and ball cost $1.10 in total and the bat costs $1.00 more than the ball, we can set up the equation to find the price of the ball. Let x be the cost of the ball in dollars. Then the bat would cost x + $1.00. Since together they cost $1.10, the equation would be:
x + (x + $1.00) = $1.10.

Solving for x gives:
2x + $1.00 = $1.10
2x = $1.10 - $1.00
2x = $0.10
x = $0.10 / 2
x = $0.05.

So, the ball costs $0.05 and the bat costs $1.05, which is $1.00 more than the ball.

The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 14 mph and the Mystic travels at 18 mph. How far apart will they be in 3 hours?

Answers

what you do is you take one of them and multiply their speed by however many hours

in this case

[tex]14 \times 3[/tex]

[tex]18 \times 3[/tex]

then add the product giving you the distance apart

Final answer:

The Serenity and The Mystic will be 96 miles apart after traveling in opposite directions for 3 hours with speeds of 14 mph and 18 mph, respectively.

Explanation:

The question involves calculating the distance between two moving objects, specifically sailboats, traveling in opposite directions. To find out how far apart they will be after a certain time, we use the concept of relative speed.

If The Serenity travels at 14 mph and The Mystic travels at 18 mph, their speeds add up when moving away from each other. Hence, the combined speed at which they are separating is:
(14 mph + 18 mph) = 32 mph.

To find out how far they will be apart in 3 hours:
Distance = Speed × Time
Therefore, Distance = 32 mph × 3 hours = 96 miles.

So, after 3 hours, The Serenity and The Mystic will be 96 miles apart.

In Amy’s backyard, there are also chickens and rabbits. There are 5 more chickens than rabbits. The total number of legs is 130. How many rabbits and how many chickens?

Answers

Answer:

There are 25 chickens and 20 rabbits

Step-by-step explanation:

Let

x-----> the number of chickens

y ----> the number of rabbits

Remember that

1 chicken has two legs

1 rabbit has four legs

so

2x+4y=130 -------> equation A

x=y+5 -----> equation B

Substitute equation B in equation A and solve for y

2(y+5)+4y=130

2y+10+4y=130

6y=120

y=20 rabbits

Find the value of x

x=y+5

x=20+5=25 chickens

Answer:

20 rabbits .    25 chickens

Step-by-step explanation:

I know where u got them from

What is the value of x

Answers

Answer:

Step-by-step explanation:

30, the angle is worth 180 and 180-40=140. 140-20=120. 4*30=120

Answer:

x=30

Step-by-step explanation:

4x+20+40=180

4x+60=180

4x=180-60

4x=120

4x/4

120/4

=30

PLZZZZZ make me brainliest!!

I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fill? Do not round your answer.​

Answers

Answer:

[tex]72\pi\ in^{3}[/tex]

Step-by-step explanation:

step 1

Calculate the volume of the cylinder (flower vase)

The volume is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=6/2=3\ in[/tex] -----> the radius is half the diameter

[tex]h=12\ in[/tex]

substitute the values

[tex]V=\pi (3)^{2}(12)=108\pi\ in^{3}[/tex] ------> exact value

step 2

Calculate  2/3 of the volume

[tex]V=(2/3)108\pi=72\pi\ in^{3}[/tex]

please try to make the answer short if you can! && it’s worth ten points!

Answers

Answer:

A: 105 degree turn

Step-by-step explanation: If you were going east the it would be 75 except for the fact that since you are going west it would be supplementary

What is the value of u, v, w, x, and y?

Answers

Answer:  The required values are

u = 140, v = 28, w = 40, x = 40 and y = 20.

Step-by-step explanation:  We are given to find the values of u, v, w, x and y from the figure shown.

We see that

the lines AB and CD are parallel to each other and PS is a transversal.

So, we must have

[tex]u^\circ=140^\circ~~~~\textup{[alternate interior angles]}\\\\\Rightarrow u=140.[/tex]

Now, we also have

[tex]u^\circ=5v^\circ~~~~~\textup{[vertically opposite angles]}\\\\\Rightarrow u=5v\\\\\Rightarrow 140=5v\\\\\Rightarrow v=\dfrac{140}{5}\\\\\Rightarrow v=28.[/tex]

Now, from the property of linear pair, we get

[tex]u^\circ+x^\circ=180^\circ\\\\\Rightarrow u+x=180\\\\\rightarrow 140+x=180\\\\\Rightarrow x=180-140\\\\\Rightarrow x=40.[/tex]

Since angles of measure w° and x° are alternate interior angles, so

[tex]w^\circ=x^\circ=40^\circ\\\\\Rightarrow w=40.[/tex]

Again, by using the property of linear pair, we get

[tex]2y^\circ+140^\circ=180^\circ\\\\\Rightarrow 2y+140=180\\\\\Rightarrow 2y=40\\\\\Rightarrow y=\dfrac{40}{2}\\\\\Rightarrow y=20.[/tex]

Thus, the required values are

u = 140, v = 28, w = 40, x = 40 and y = 20.

Heeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

Answer:

C &A

Step-by-step explanation:

Just by analyzing the problem you can match up the answers

Solve the problem in your head and the closest answer to that is the answer

Answer:

B and D are equivalent to -3.75+2(-4x+6.1)-3.25x

Step-by-step explanation:

The initial equation is -11.25x+8.45

A is equivalent to 5x+8.1

B is equivalent to 8.45-11.25x

C is equivalent to -7.25x+4.35

D is equivalent to -11.25x+8.45

Hope this helps! Please mark as brainliest!! <3

HWKAGDAW WJQWIUHYEWLAHC AIUOLHAJLSIA

Answers

Answer:

BVLJFBGEJOOEUUUUUUUUVWRBTOUGNJWWHBH

Step-by-step explanation:

My question is what is 10 + 54 over -6

Answers

Answer:

-11

Step-by-step explanation:

64\-6= -10.667 Hope this helps

Determine the ordered pair that satisfies the equation, 7x-1y=8

Answers

Final answer:

The ordered pairs that satisfy the equation 7x - y = 8 include (1,-1) and (9/7, 1).

Explanation:

To find an ordered pair that satisfies the equation 7x - y = 8, we can choose a value for either x or y and then solve the equation for the other variable. For example, if we choose x = 1, we substitute this into the equation to find the corresponding y value: 7(1) - y = 8 which simplifies to y = -1. Thus, the ordered pair (1, -1) is a solution to the equation. Another solution could be found by choosing y = 1 and solving the equation for x: 7x - 1 = 8, which gives x = 9/7. Thus, the ordered pair (9/7,1) is also a solution to the equation.

Learn more about solving linear equations here:

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Final answer:

To determine the ordered pair that satisfies the equation, rearrange the equation to solve for y. Plug in different values for x to find corresponding values for y.

Explanation:

To determine the ordered pair that satisfies the equation 7x-1y=8, we need to solve for y.

Rearranging the equation, we get y=7x-8. This equation represents a linear relationship, where the value of y depends on the value of x.

By plugging in different values for x, we can find corresponding values for y.

For example, when x=0, y=(-8).

So the ordered pair that satisfies the equation is (0, -8).

Learn more about Linear equations here:

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Which ordered pair is not a solution of y=-12x-3?
A) (-3,33)
B) (8,-98)
C) (-9,105)
D) (3,-39)

Answers

Answer:

B. (8,-98

Step-by-step explanation:

because : x=8.....y=-12(8)-3 =-99

How do you find the area of a circle by it's circumference and the circumference of a circle by it's area


20 points PLZZZ answer

Answers

Answer

A = C2 / (4 π) for the first question.  C = 2*π*square root of (A/π). for the second question.

Step-by-step explanation:

The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r.

If we "solve for r" in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.

When we simplify this, we get A = C2 / (4 π).

Now you can put your value of C into this equation and find A.

Final answer:

To find the area of a circle from its circumference, first find the radius using the circumference and then compute area. To find the circumference from the area, derive the radius from the area and then calculate the circumference.

Explanation:Finding the Area of a Circle from its Circumference

To find the area of a circle using its circumference, you first need to find the radius of the circle. The formula to find the radius from the circumference is r = C/(2π), where C is the circumference of the circle, r is the radius, and π is Pi, approximately 3.14159265. After finding the radius, use the formula for the area of a circle, A = πr², where A is the area.

Finding the Circumference of a Circle from its Area

Circumference of a circle can also be determined from its area. The radius can be found using the formula, r = sqrt(A/π), where A is the area of the circle. Once the radius is known, you can find the circumference by the formula, C = 2πr.

Learn more about Circle here:

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Bret has a fish tank that holds 320 liquid ounces of water. On average, the water evaporates from the tank at a rate of 3.84 ounces per day. Bret went on vacation for 2 weeks, and asked a friend to feed his fish. The fish tank was full of water when Bret left. To the nearest hundredth, how many liquid ounces of water were left in the tank when Bret returned from his vacation?

Answers

Answer:

266.24

Step-by-step explanation:

y=320-3.84d

d represents number of days

320-3.84(14)

=320-53.76

=266.24

Answer:

266.24 ounces

Step-by-step explanation:

2 weeks = 7 x 2 = 14 days

Initial Amount = 320 ounce

Rate = 3.84 ounces/day

Amount of water left

= 320 - 3.84(14)

= 266.24 ounces

Find x and y. Please write your answer in simplified radical form.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex]

Multiply both sides by y

y × sin30° = 6 ( divide both sides by sin30° )

y = [tex]\frac{6}{sin30}[/tex] = [tex]\frac{6}{\frac{1}{2} }[/tex] = 12

---------------------------------------------------------------------------------------

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex]

Multiply both sides by y ( y = 12 )

12 × cos30° = x

x = 12 × [tex]\frac{\sqrt{3} }{2}[/tex] = 6[tex]\sqrt{3}[/tex]

If the coordinates of the points D,E,F,G, and H are -3,-6,8,11 and 13 respectively which segment is the longest

Answers

Final answer:

To determine the longest segment, we calculate the distances between the given points using the distance formula. The longest segment is DE with a distance of approximately 21.43 meters.

Explanation:

To determine which segment is the longest, we need to find the distance between each pair of points. Using the distance formula, we can calculate the distance between points D and E, points E and F, points F and G, and points G and H. By comparing these distances, we can determine which segment is the longest.



D = sqrt((-3 - 8)^2 + (-6 - 11)^2) = sqrt(169 + 289) = sqrt(458) ≈ 21.43



E = sqrt((8 - 13)^2 + (11 - 13)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39



F = sqrt((13 - 8)^2 + (13 - 11)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39



G = sqrt((8 - -3)^2 + (11 - 13)^2) = sqrt(121 + 4) = sqrt(125) ≈ 11.18



H = sqrt((13 - -3)^2 + (13 - 11)^2) = sqrt(256 + 4) = sqrt(260) ≈ 16.12



The longest segment is DE with a distance of approximately 21.43 meters.

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Which equation represents a proportional relationship? A) y = 3x 4 B) y = 3 4x C) y = 3x 4 + 1 D) y = 3 4x + 1

Answers

Answer:

A. y = 3x/4

Step-by-step explanation:

 a proportional relationship between x and y is a straight line passing through the origin (0, 0).

The equation must be in the form y = kx.

y = 3x/4

y = 3/4x

Answer:

y=3x/4

Step-by-step explanation:

The second one please

Answers

I think it's 27 but I may be wrong.

yeah 27 because you do the butterfly method. you multiply 63 and 12 you get 756 then you divide 756 by 28 and you get 27

Answer:

x = 27

Step-by-step explanation:

let the donominatir be x

28/63 = 12/x

28x = 756

x = 756/28

x = 27

-TheUnknownScientist

From the sum of 5 – 9i and -4 + 7i, subtract 14 – 3i. A. -13 + i B. -13 – 5i C. 13 – i D. 13 + 5i E. 13 – 5i

Answers

Answer:

A because the sum of 5 - 9i and -4 + 7i is 1 - 2i. And if you subtract 14 - 3i out of that, then you get -13 + i.

Other Questions
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