when a load of 5 pounds is placed on a spring, its length is 6 inches, and when a load of 9 pounds is placed on the spring, its length is 8 inches. what is the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds? give units on your answer

Answers

Answer 1
Answer:

Four inches every four and a half pounds

Answer 2

The average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.

What is average?

It is a measure of how much the function changes per unit, on average, over the given interval.

We have,

5 pounds loaded on a spring:

The length of the spring is 6 inches.

9 pounds loaded on a spring:

The length of the spring is 8 inches.

The average rate of change in the length of the spring as the load varies:

= (8 - 6) / (9 - 5)

= 2 / 4

= 1 / 2

= 0.5 inches per pound

Thus the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.

Learn more about average rate of change here:

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The answer is 4x-3y+24=0

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You would get $156.42 per year because $1 plus $2 is three and there are 52.14 weeks in a year and 52.14 times 3 is $156.42

What is the slope of the line through the points (-2, -1) and (4, 3)?
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x − 1
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Answers

Answer:

3x - 2

Step-by-step explanation:

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Answer:

The answer is 3x - 2  :)

Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2

$16 for 4 books. How much would 12 books cost?

Answers

Answer:

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Step-by-step explanation:

you would first need to find what the cost of 1 book is so

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Answers

Answer:

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Step-by-step explanation:

35 and 32

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Answer:

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Step-by-step explanation:

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What is the slope-intercept equation of the line below?

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Answer:

B y= -5/4x+3

Step-by-step explanation:

Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?


Answers

Answer:

4b-5=71

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Step-by-step explanation:

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What is an equation in point-slope form the line that passes through the point (-3,5) and (2,-3)?

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Answers

Answer:

Y-5=-8/5 (x+3)

Step-by-step explanation:

Answer:

Y-5=-8/5 (x+3) good luck

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Answer:

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Step-by-step explanation:

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Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr dt depends on r2, not simply r. The volume only appears constant; it is actually a rational relationship. The rate of change of the radius is a linear relationship whose slope is dV dt . The rate of change of the radius is a cubic relationship. dr dt as a function runs parallel to the volume function, which is not linear.

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Answer:

Hello your question has some missing parts below is the missing part

A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute  

answer :

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Step-by-step explanation:

The rate of change of the radius of the sphere is not constant even though dv/dt is constant is because ;

dr/dt  depends on r^2  not simply r

and this is because  dr/dt is proportional to  1/r^2 therefore the rate of change of the radius cannot be constant even though dv/dt is constant

A photographer charges $25 to travel to a client's location, plus $55 per hour for her
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Answer:

8 Hours

Step-by-step explanation:

First, you have to subtract the 25$ because we already know that that is a stable value (meaning it will not change)

Then, you have to divide 440 by 55 to get an answer of 8 hours for the session :D

To find total multiply 55 by number of hours (h) and then add 25:

Total = 55h + 25

Given the total solve for h:

465 = 55h + 25

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440 = 55h

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H = 440/55

H = 8

It was 8 hours

A circular tablecloth has a diameter of 6 feet,as show on the picture.



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Which of the following expressions is equal to -3x^2-12?

Answers

Answer:

The answer is (-3X+6i)(x+2i)

Step-by-step explanation:

You can do this by plugging in the answers in the equations and get that (-3x+6i)(x+2i) equals the following expression.

ok so um yea plz help....and if you find them i will do 2 thingss............face reveil anddddddddd BRAINLEIST for you

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Answer:

4

Step-by-step explanation:

all you have to do is divide 12 by 3

Answer:

4 if ur doing division or 3 over 12

                                       

Step-by-step explanation:

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A: multiply a positive (+) times a negative (-)

B: multiply a negative (-) times a negative (-)

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Step-by-step explanation:

b: multiplying a negative (-) by a negative (-)

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Answers

Answer:

7,084 cm^3

Step-by-step explanation:

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Answer:

7,084 cubic cm

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Answers

Answer:

60°

Step-by-step explanation:

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48
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P
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Answers

Answer:

the answer is D. 24

Step-by-step explanation:

the smaller triangle is half the size of the bigger triangle so just divide 48 by 2

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Answers

Answer:

x = [tex]-\frac{133}{3}[/tex], y = [tex]\frac{157}{15}[/tex]

Step-by-step explanation:

x + 5y = 8

3x = 24 - 157

3x = 24 - 157

3x = -133

x = [tex]-\frac{133}{3}[/tex]

x + 5y = 8

[tex]-\frac{133}{3}[/tex] + 5y = 8

5y = [tex]\frac{157}{3}[/tex]

y = [tex]\frac{157}{15}[/tex]

Which of the following was included in the “Declaration of the People”?

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Answer:

C

Step-by-step explanation:

Texas was not around during George Washington so that cant be correct

Texas was not around during the constitution of 1824

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So Texans considered themselves  independent from Mexico is correct

Answer:

Step-by-step explanation:Texas was not around during George Washington so that cant be correct Texas was not around during the constitution of 1824 Texas did not want more restaurants So Texans considered themselves  independent from Mexico is correct

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Answer:

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Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

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Complete the multiplication and the equation becomes

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The two fractions now have like denominators so you can subtract the numerators.

Then:

15−2/18=13/18

This fraction cannot be reduced.

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5/6−1/9=13/18

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Answers

Answer:

x=6

Step-by-step explanation:

the perimeter of the rectangle is equal to 2x + 16.

the perimeter of the triangle is equal to 3x + 10.

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Answer:

Jada is wrong. For example, say Jada is drawing scaled versions of a 10x10 yard square. In her first drawing, 1 centimeter = 1 yard, so the drawn square is 10x10 centimeters. In her second drawing, 1 centimeter = 2 yards, which is greater, like the problem says. This drawing will be only 5x5 centimeters, meaning the lengths will be smaller as each centimeter represents a greater number of yards.

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£

Richard:
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Nick:
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Answers

Answer:

dan 14 Richard 42 nick 14

how can i explain for the question???

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what question there’s nothing showing?
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Answer:

125% of 16 is 20

Step-by-step explanation:

Hope this helps!

A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
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Answers

Answer:

What is the question?

Step-by-step explanation:

Answer: The initial value is 150 and the rate of change is 30

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Robert bough 3/4 pound of grapes and divided them into 6 equal portions.
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Answers

Answer: The answer should be 0.125

Step-by-step explanation:

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