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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Related Questions

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

Answers

Answer:

B y= -5/4x+3

Step-by-step explanation:

A photographer charges $25 to travel to a client's location, plus $55 per hour for her
services. What is the duration, in hours, of a photography session that costs $465?

Answers

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

Subtract 25 from both sides

440 = 55h

Divide both sides by 55

H = 440/55

H = 8

It was 8 hours

I’ll make you brainliest:Which shows the equation 12x + 4y = 480
in general form?

Answers

Answer:

y = -3x + 120

Step-by-step explanation:

Hope this helps!

Robert bough 3/4 pound of grapes and divided them into 6 equal portions.
What is the weight of each portion?
*

Answers

Answer: The answer should be 0.125

Step-by-step explanation:

A five year old child receives an allowance of $1 each week. His parents promise him an annual increase of $2 per week. Write a formula for the child's weekly allowance in a given year.​

Answers

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

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

Answers

Answer:

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

Step-by-step explanation:

Answer:

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

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.

Answers

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 :

dr/dt  depends on r^2  not simply r

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



What is the area,in square feet,of the tablecloth.​

Answers

Nsnsnanannajakaabaatayqqjabwhwwkk

In equilateral triangle ABC above, y =
(A) 40
(B) 60
(C) 70
(D) 75
(E) 80

Answers

Answer:

60°

Step-by-step explanation:

In an equilateral triangle all sides are equal so as all angles are same,

3 sided fig. 180÷3= 60°

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

Answers

Answer:

$48

Step-by-step explanation:

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

16 divided by 4 is 4

so 1 book is $4

then you would need multiply the cost of one book by 12

so 4 times 12 is 48

so the cost would be $48

Answer:

192

Step-by-step explanation:

times

2. The sum of two numbers is 67 and their difference is 3. Find the two numbers.

Answers

Answer:

35 and 32

Step-by-step explanation:

35 and 32

because when we add 35 and 32 then their sum is 67

when we subtract 35 and 32 then their difference is 3

I hope u understand it

how can i explain for the question???

Answers

what question there’s nothing showing?
explain what question?

When multiplying, the answer is negative when you:

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

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

C: multiply a positive (+) times a positive (+)

Answers

Step-by-step explanation:

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

A rectangular based prism has a length of
23cm, a width of 28cm, and a height of 11m.
Find its volume.

Answers

Answer:

7,084 cm^3

Step-by-step explanation:

To calculate volume you have to take all three measurements and multiply them as so: x times y times z. In this case x = 23 y = 28 and z = 11. When you multiply these 3 numbers together you will get 7,048 cm^3.

Answer:

7,084 cubic cm

Step-by-step explanation:

V = 23 x 28 x 11

Given that the triangles shown below are similar, what is the value of x?
D
32
40
16
20
H
48
M
P
X
L
A. 20
O
B. 10.7
O
C. 96
O D. 24

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

Answer: D

Why?

Question tells you that both triangles are similar, but the obvious difference is that one is smaller than the other.

As u can see HA = PD
32 = 16
The difference is 2

By dividing the value of HM (which is 48) u can get the answer 24.

Therefore the answer is D

A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallon of water.

Answers

Answer:

What is the question?

Step-by-step explanation:

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

150+30x=y

Please helppp!! I suck at math

Answers

Answer:

5/6−1/9=13/18

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.

(5/6×3/3)−(1/9×2/2)=?

Complete the multiplication and the equation becomes

15/18−2/18=?

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

Then:

15−2/18=13/18

This fraction cannot be reduced.

Therefore:

5/6−1/9=13/18

multiple of 2 and 5 which is 2 more than the third multiple of 6

Plz with steps.. ​

Answers

Answer:

20

Step-by-step explanation:

the third multiple of 6 is 18

20 = 2+18

and it's also a multiple of 2 and 5

Answer:

5x2 -2

Step-by-step explanation:

when you times 2 and 5 it gives you ten when you minus it by 2 you get eight so six plus two equal to eight so that is your answer my friend

Jada will draw two scale drawings of the same object on 1-cm grid paper. Each centimetre will represent a greater distance in the second
drawing than in the first. Jada claims that the lengths in the second drawing will be longer than the lengths in the first drawing. Do you agree? Give an example of a scale and a measurement to support your answer.

Search entries or author

Answers

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.

4. The perimeters of the rectangle and the triangle below are equal. Find the value of x.​

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.

since they are equal now you can solve by saying 2x + 16 = 3x + 10

Now you solve for x

2x + 16 = 3x + 10

2x + 6 = 3x

6 = x

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

Texians wanted the Constitution of 1824 reestablished.

Texians wanted George Washington to be president instead of Santa Anna.

Texians considered themselves independent from Mexico,

The people of Texas want more restaurants.

Answers

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

Texas did not want more restaurants lol

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

took it on edge 2020 and got it write with this

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

19 books

Step-by-step explanation:

b represents books, and 4 is the cost, so the cost (4•19) minus the discount (-5) equals 71 and solves the equation

x + 5y = 8
3x = 24 - 157

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]

What is the zero of 4x - 3y = -24?

Answers

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

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.

Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£

Richard:
£

Nick:
£

Answers

Answer:

dan 14 Richard 42 nick 14

What is the slope of the line through the points (-2, -1) and (4, 3)?
Group of answer choices
2/3

3/2

5/2

2/5

Answers

The answer should be 2/3

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

Answers

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:

What is
125% of
16?

please help me i’m not good at math at all.

Answers

Answer:

125% of 16 is 20

Step-by-step explanation:

Hope this helps!

Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?

x
x − 1
2x − 3
3x − 2

Answers

Answer:

3x - 2

Step-by-step explanation:

3 times Kim's age (x), so 3x; minus 2 years (Sam's age).

Answer:

The answer is 3x - 2  :)

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

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