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.

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Related Questions

Whats the answers 1-7?

Answers

1. Shifts up 9
2. Shifts down 2
3. Reflect over x-axis and shifts left 5
4. Shifts right 4 and down 1
5. Vertical compression of 1/3 and shifts up 2
6. Reflect over x-axis, vertical stretch of 2, and shifts left 4
7. f(x)=-(x-3)^2+7

Answer:

I don't know

Step-by-step explanation:

i don't know the answer sorry I just need point to post a question lol

There is 10 inches of water in a bucket. The water is leaking out of the bucket at a rate of 1 inch per hour. How many hours will it take for the bucket
to fully empty?
Type your answer...

Answers

10 is the answer as 1x10=10 so 10 hours

Solve the inequality.

p + 14 ≥ 2

Answers

Answer:

p [tex]\geq[/tex] -12

Step-by-step explanation:

Subtract 14

p [tex]\geq[/tex] -12

The solution to the inequality from the information given is p ≥ -12

What is inequality?

Inequality shows the relationship between two expressions and this relationship is identified by using the inequality signs (<, >, ≤, ≥).

The solution to the inequality p + 14 ≥ 2 can be determined by having the variables on one side and the numbers on the other side. To do that:

Let us subtract 14 from both sides of the equation we have:

p + 14 - 14 ≥ 2 - 14

p ≥ -12

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-10x-3y=-18
-7x-8y=11 solve system using elimination

Answers

Answer:

(-7) (-10x - 3y = -18)

(10) (-7x - 8x = 11)

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

70x + 21y = 126

+ -70 - 80x = 110

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

-59x = 236

x = -4

Answer

[tex] \huge{ \boxed{ \text{(3 \:, - 4)}}}[/tex]

✑ [tex] \underline{ \underline{ \text{First ,\: let's \: know \: about \: elimination \: method}}}[/tex] :

☇ In this method , we add or subtract the given equations to eliminate one of the two variables by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.

☯ [tex] \underline{ \underline{ \text{Let's \: solve}}} : [/tex]

[tex] \underline{ \text{Original \: system}} : [/tex]

[tex] \text{ - 10x - 3y = - 18 - - - - Equation\: (i)}[/tex]

[tex] \text{ - 7x - 8y = 11 - - - - Equation \: (ii)}[/tex]

[tex] \text{Step \: 1} : [/tex] Take L.C.M ( Lowest Common Multiple ) of 10 and 7. For this , find the prime factors of each number. Then, take out the common prime factors and other remaining prime factors and multiply them.

prime factors of 10 = 1 × 2 × 5prime factors of 7 = 1 × 7

L.C.M = Common factors × Remaining Factors

= 1 × 2 × 5 × 7

= 70

[tex] \text{Step \: 2} : [/tex] Multiply equation ( i ) by 7

[tex] \text{7( - 10x - 3y ) = - 18  * 7}[/tex]

⇢ [tex] \text{ - 70x - 21y = - 126 - - - - equation \: (iii)}[/tex]

[tex] \text{Step \: 3} : [/tex]Multiply equation ( ii ) by 10

[tex] \text{10( - 7x - 8y) = 11 \: * \: 10}[/tex]

⇢ [tex] \text{ - 70x - 80y = 110 - - - - equation \: (iv)}[/tex]

[tex] \text{Step \: 4} : [/tex] Subtract equation ( iv ) from equation ( iii ) :

Also Remember that while subtracting , sign of each term of the second equation changes. Here , we are eliminating x . So to make the coefficient of y same , equation ( i ) is multiplied by 7 and equation ( ii ) is multiplied by 10.⇩

[tex] \text{ - 70x - 21y = - 126}[/tex]

[tex]\text{+70x + 80y = - 110}[/tex]

___________________

[tex] \text{ \: \: \: \: \: \: 59y = - 236}[/tex]

Solve :

⇢ [tex] \text{59y/59 = - 236/59}[/tex]

⇢ [tex] \boxed{ \bold{ \text{y = - 4}}}[/tex]

[tex] \text{Step \: 5} : [/tex]

Substitute the value of y into equation ( iii ) , we get :

[tex] \text{ - 70x - 21y = - 126}[/tex]

➳ [tex] \text{ - 70x - 21( - 4) = - 126} [/tex]

➳ [tex] \text{ - 70x - ( - 84) = - 126} [/tex]

➳ [tex] \text{ - 70x + 84 = - 126}[/tex]

➳ [tex] \text{ - 70x = - 126 - 84}[/tex]

➳ [tex] \text{ - 70x = - 210}[/tex]

➳ [tex] \text{ - 70x/  - 70 = - 210/  - 70}[/tex]

➳ [tex] \boxed{ \bold{ \text{x = 3}}}[/tex]

[tex] \bold{ \underline{ \text{Hence ,\: x = 3 \: and \: y = - 4}}}[/tex]

Hope I helped!

♡ Have a wonderful day / night ツ

~ [tex] \sf{TheAnimeGirl} [/tex] ♪

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

...............................

Answers

Answer:

What dose this mean

Step-by-step explanation:

Thx for the free points

what the answer?please tell me
12 points

Answers

Step-by-step explanation:

[7 + (-2)] * (-3)

= 7(-3) + (-2)(-3)

= -21 + 6

= -15. (C)

Answer:

C. -15

Step-by-step explanation:

Hope this helped have an amazing day!

i am not sure



look at the screenshot for question

Answers

Answer:

X equals 3 y equals 1

Step-by-step explanation:

15x 5 y

A:3x+ 1
E: I’m really like chicken that oil

is 3π/9 irrational or rational​

Answers

Answer:

irrational

Step-by-step explanation:

Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.

find the angle measure of minor arc MP.

Answers

Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

Angle MNP = 2 * Angle MQP = 30°.

Hence the angle measure of minor arc MP is 30°.

Answer:

30 degrees

Step-by-step explanation:

arc measure in degrees is twice the measure of the inscribed angle

I need help with mathematics and I have to ask a couple questions about it​

Answers

so please ask question

Answer:

Sure. What are the questions?

I WILL MARK BRAINLIEST ! Please help!! Solve for x in the parallelogram below.

Answers

Answer:

x = 3

Step-by-step explanation:

Angle D is congruent to angle B.

Angles E and B are supplementary.

180 - 101 = angle B

B = 79

Solve for x.

79 = 27x - 2

81 = 27x

x = 3

22.00+27.51+21.33+22.95=
please show me how you got that answer


asap plz help 50 points

Answers

Answer:

93.79

Step-by-step explanation:

22.00 + 21.33 = 43.33

22.95 + 27.51 = 50.46

43.33 + 50.46 = 93.79

99+99x=0 how to solve this

Answers

Step-by-step explanation:

99+ 99x = 0

99 = - 99x

x = - 99/99

x = -1

Hope it helps :)

Answer:

X = -1

Step-by-step explanation:

99 + 99x = 0

99x = -99

x = -99/99

x = -1

Solve 1/3k+80=1/2k+120

Answers

Answer:

k=-240

Step-by-step explanation:

Answer:

k = -1200

Step-by-step explanation:

Darnelle has a $10,000, three-year loan with an APR of 5%. She uses the table on page 159 to compute information on the loan,
a. What is her monthly payment?
b. What is the total of all her monthly payments?
c. What is the total finance charge?
HELP

Answers

Her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.

What is the expression of simple interest?

The expression for the final amount for simple interest is

A = p(1+rt)

Given data

Principal = $10,000

Rate= 5 %= 0.05

Time = 6years (Assume)

A = p(1+rt)

A = 10,000(1+0.05×6)

A = 10,000(1+0.30)

A = 10,000(1.30)

A = 13,000

So the final amount for simple interest is $13,000

To determine her monthly payment

Given that it is spread over 6 years

There are 12×6 months= 72months

So monthly pay = 10000/72 = $180.56

The total of all her monthly payments would be $13,000 which is equal to the final amount.

The finance charge is equal to the interest.

⇒ $13,000 - $10,000 = $3000

So the finance charge would be $3000.

Therefore, her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.

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Match each multiplication expression with the number of decimal places in its product

Answers

Answer:

Step-by-step explanation:

Digits after the decimal in a number decide the number of decimal places.

If there are 1 digit after the decimal, decimal place will be one decimal place.

Similarly, 2 digits after the decimal, decimal place will be two decimal place.  

1). 4.2(0.938) = 3.9396 (Four decimal places)

2). 0.9(29.3) = 26.37 (Two decimal places)

3). 18(5.75) = 103.50 (Two decimal places)

4). 0.48(12.19) = 5.8512 (Four decimal places)

5). 3.21(2.4) = 7.704 (Three decimal places)

6). 50.7(14.06) = 72.842 (Three decimal places)  

Answer:

The person above me is right.

Step-by-step explanation:

I did it on edge and got it right.

What is the solution to the system of polynomials graphed below?

Answers

Answer:

Step-by-step explanation:

A(-1,6)

the solution is the intersection of the 2 graph because in that point both equations are true

monke good? yes yes yes

Answers

Answer:good

Step-by-step explanation:

monke

Answer:

monkey good

good monkey

Step-by-step explanation:

2 - 20
16) Solve the problem.
Use the Associative Property of Addition to find the equivalent expression. Replace the
variable with the given number to prove the expression is equivalent.
* + (4 + 6) = ---
I = 5

Answers

Answer:

The answer is 15=15

Step-by-step explanation:

go to math

way, which is a website

and put your question in and the answer waill come to you!

Does any one knows the scale factor?

Answers

Yes in science it’s the scale factor of the division barns end. Dive o Ebro dodo ooo
Hey jm correct answer

Please I need help!!! The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.18. What is the probability that it will rain on at least four of the
five days they are there? Round your answer to the nearest thousandth.

Answers

Answer:

give me a call when you get a chance can you send me the link to the video is too much for me to do you have a car you have a car you have a car you have a car you have a car you have a car you have a car you have a car you have a car ☺️☺️ good morning ☺️☺️☺️ to be there ☺️☺️☺️ you are teaching until I have a few more questions about the link ☺️☺️☺️ get many you had f I am a little bit of time

Answer:

The sum:0.0049 =0.004. so the answer is 0.004

Find the value of x. 15 30 120 60

Answers

Answer:  There isnt a question here

Step-by-step explanation:

the measure of the angle is..

Answers

Answer:

149

Step-by-step explanation:

149 and the angle beside b are supplementary (Let's call it A)

180-149=A=31

180-31=149

149=B

The quotient of 5 plus a number w and negative 5 is 36

Answers

155 i think this is correct if not its 205

the equation would be
5 + w over -5 equals 36
to solve you would multiply both sides by -5
move the constant to the right-hand side and change its sign
[ w = -180 -5 ]
vv
w = -185 [ would be the answer ]

de acuerdo con la siguiente figura calcula el ancho del río y la distancia del árbol a la lancha.

Answers

lo siento pero no hay nada ahí

Zoe creates a spreadsheet to make simple interest calculations. The user input values for the principal, rate, and time in years in row 2. Write each formula. Remember to include the = symbol

Answers

Answer:

a. For A2 to compute the interest.

b. For B2 to compute the principal.

c. For C2 to compute the interest rate.

d. For D2 to compute time in years, given the interest, rate, and the principal.

e. For E2 to compute the time in months, given the time in years.

a) A2 = B2 x C2 x D2

b) B2 = A2/ (C2 x D2)

c) C2 = A2/ (B2 x D2)

d) B2 = A2/ (C2 x D2)

e) E2 = 12 x D2

I know they only asked for principle, I just added for imformation lol

A veterinarian prescribes Benadryl for a dog with allergies. The recommended dosage is 3 mg per kg per day to be given in two doses. If your golden retriever weighs 67 lbs., how much Benadryl should he get in each dose? Round to nearest milligram.

Answers

Answer:

Each dose should be of 5.05 milligrams.

Step-by-step explanation:

To solve the present problem, it is necessary to first establish the equivalence between pounds and kilograms. Thus, 1 pound is equal to 0.453 kilograms. Therefore, the dog weighs about 30.35 kilograms (67 x 0.453), with which, since 3 milligrams must be applied for each kilogram of the animal's weight, 10.1 milligrams of Benadryl (30.35 / 3) should be applied.

Now, since Benadryl is applied in two doses, each of these doses should be 5.05 milligrams (10.1 / 2).

How many Rubles are 40 cents? I will give Brainliest to the correct answer

Answers

Answer:

30.34

Step-by-step explanation:

Answer:

40 cents = 30.34 rubles

Step-by-step explanation:

1 us $ is 75.86 RUB ₽

0.40 * 75.86 = 30.34

The point (–5, 6) is located in which quadrant?


Quadrant I
Quadrant II
Quadrant III
Quadrant IV

Answers

Answer:

Quadrant 2

Step-by-step explanation:

Step-by-step explanation:

4th quadrant cause x is positive and y is negative

help please! 16 points

Answers

Answer:

3

Step-by-step explanation:

divide the top number by the bottom to always find the constant of proportionality :D

Answer:

3

Step-by-step explanation:

y is being multiplied by 3  to get the x values. Hope this helped you!! Give brainliest.

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