The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object stretches a spring 54cm, find the distance when the weight is 2-kg. round your answer to the nearest whole centimeter.
a. 65 cm
b. 12 cm
c. 0 cm
d. 6 cm

Please select the best answer from the choices provided.
.A
.B
.C
.D

Answers

Answer 1

Answer:

I think it is b

Step-by-step explanation:

Answer 2

The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.

What is the spring force?

The spring force is directly proportional to the deflection of the spring. Let 'x' be the deflection of the spring due to force 'F'. Then the spring force is given as,

F ∝ -x

F = - kx

mg = - kx

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object stretches a spring 54cm. Then the spring force is calculated as,

9g= - k (54)

- g / 6 = k

Then the equation is given as,

F = (g / 6) x

The distance when the weight is 2 kg will be given as,

2g = (g / 6) x

12 = x

The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.

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Related Questions

quick easy math question please help write in fraction form brainliest will be awarded :)))

- [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{4}[/tex]

Answers

Answer:

- 5/8 + 3/4 = 1/8

Step-by-step explanation:

I hope this helps!

Square the following numbers 4,6,13,10

Answers

Answer:

16 36 169 100

Step-by-step explanation:

Answer:

16, 32, 169, 100

Step-by-step explanation:

2/3 Divided by blank= 6/8

Answers

Answer:

2

Step-by-step explanation:

hope it's correct

What is the equation of this line

A. Y = 2x - 3

B. Y = -1/2x - 3

C. Y = -2x - 3

D. Y = 1/2x - 3

Answers

I think the anser c that what i think

4/5 of the cake was left, but after Brian ate some only 1/4 of the cake was left. Which fraction of the cake did Brian eat?

Answers

Answer:

3/4

Step-by-step explanation:

there was 4/5 you just had to minis 3and 4

2/7 divided by 8/9. HURRY

Answers

Answer:

9/28 in fraction , 0.3214285714 in decimal

Step-by-step explanation:

0.32142857142 in decimal form

can someone please help? i need to find the slope of a line. it’s for a test!

Answers

Answer:

Step-by-step explanation: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

The slope is 2/3

Step-by-step explanation:

The equation that the graph gives us is y = 2/3x + 3.

With this equation, we know that the slope is 2/3.

Bonus:

With this equation, we also know that the y-intercept is 3.

Write the following statement as a mathematical expression.
Let x be a number.
A number decreased by three squared
Use the ^symbol to represent an exponent.
For example: 52 should be typed as 5^2

Answers

Answer:

x - 3^2

Step-by-step explanation:

reaching 20 character limit

Multiply. Simplify your answer and write as a mixed or whole number.

6 1/3 ⋅ 2

Answers

38/3 or 12 2/3
Pls mark brainliest

please help i don’t understand, thanks! :)

Answers

Answer:

B

Step-by-step explanation:

My best guess would be 12 tickets, but seeing as that is not an option, I see that the only similarity all of the numbers in the x column have is that they are even numbers, and B is the only option that is even as well

Which list has three equivalent fractions for 3/4?

Answers

1/3 and 2/3 and 4/4 yep I’m not good

Answer:

6/8 12/16 27/36

Step-by-step explanation:

Identify the range of the graphed function.

Answers

Answer:

0<y<8

Step-by-step explanation:

So, as you can see by the graph, the y axis has a plot as low as 0. soo it would be 0. Then the highest plot is marked as high as 8. Therefore its 0<y<8.

Had a hard time wording it so i hope you understand.

The range of the function will be; Range = {y | 0<y<8 }. Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

We know that domain means all the possible values of x and the range means all the possible values of y.

So, as we can see by the graph, the y axis has a plot as low as 0. it would be 0. Then the highest plot is marked as high as 8.

The domain of the function is (0, 8] and the range of the function will be

Range = {y | 0<y<8 }

Then the correct option is A.

More about the function link is given below;

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For babysitting, Zou Jing charges a flat fee of $10, plus $15 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours? How many hours does Zou Jing need to babysit to afford a PS5 ($500)?

Answers

Answer:

C=5h+3 when h=5

C=28

Step-by-step explanation:

Which models show the problem 4/6 : 2/6 = 2? Check all that apply :​

Answers

Answer: 1st, 2nd, and 3rd option are correct :) ✨

Step-by-step explanation:

Answer:

A, B, C

Step-by-step explanation:

If the sum of three consecutive numbers is 1998, what is the first one?

Answers

Answer:

666

Step-by-step explanation:

Because I said so.

A store plans to sell two different game consoles, the Wii and the xbox. The store’s wholesale price for the Wii is $250, and the store can sell one for $295. The xbox wholesale price is $400, and the store can sell it for $450. The stores marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager doe not want to invest more than $70,000 in inventory costs for game consoles. Write the constraints and the objective formula.

Answers

I'll answer this question in a bit, I am busy with some other things right now.

3. What is the value of x?
(8x -- 8)
(7x - 8)

A -16
B. 120
C. 60
D. 16

Answers

Answer:

16

Step-by-step explanation:

took test

Please help me!! Find the distance between points (-7,-4) and (-2,0)

Answers

Answer:

This is odd since the answer is 9 units. The best option would most likely be D since that is the closet answer. Unless it tells you to round i would go with D.

Step-by-step explanation:

What is the solution to g-8= -24?

Answers

Answer:

g=16

Step-by-step explanation:

Answer:

g=-16

Step-by-step explanation:

How do you do these questions?

Answers

Step-by-step explanation:

(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ.  Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.

(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ

Divide.

Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)

Rewrite the second fraction using negative exponent.

Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹

Take the limit of both sides as n approaches infinity.

lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹

Substitute with φ.

φ = 1 + φ⁻¹

Solve.

φ² = φ + 1

φ² − φ − 1 = 0

φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)

φ = (1 ± √5) / 2

Since the ratio can't be negative:

φ = (1 + √5) / 2

Which pair of numbers has the greatest common factor of 3?

3 and 12
3 and 33
4 and 9
9 and 12

Answers

Answer: 9 and 12

Step-by-step explanation:

Answer:

9 and 12

I HOPE IT WILL HELP YOU?:-)

Determine whether the following graph represents a function.


PLZ HELP!! the picture is above

Answers

Answer:

yes it is a function

Step-by-step explanation:

The answer to your question is yess .

In the given picture, y/x =4 and z/x =3. Find x.

Answers

Answer:

Step-by-step explanation:

x=22.5 degrees

[tex]\frac{y}{x} =4[/tex]

[tex]\frac{z}{x} =3[/tex]

[tex]y = 4x[/tex]

[tex]z=3x[/tex]

[tex]x +3x+4x=180[/tex]

[tex]8x=180[/tex]

[tex]\frac{8x}{8} =\frac{180}{8}[/tex]

[tex]x=22.5[/tex]

The number and frequency of a certain ocean's hurricanes annually from 1930 through 2005 is shown below. This means, for instance, that no hurricanes occurred during 4 of these years, only one hurricane occurred in 15 of these years, and so on. Complete parts a through c below. Number Frequency 0 4. 1 2 3 4 15 20 13 5 5 6 6 4 7 4 8 2 9 1 12 1
a. Find the probabilities of 0-12 hurricanes each season using these data. 7 8 9 12 4 2 1 1 Number 0 1 2 3 5 6 Frequency 4 15 20 13 5 6 4 Probability (Type integers or decimals rounded to three decimal places as needed.)

Answers

Answer:

Shown below.

Step-by-step explanation:

The table showing the umber and frequency of a certain ocean's hurricanes annually from 1930 through 2005 is:

   Number:     0     1      2     3      4    5     6     7    8     11     12      

Frequency:    5    16    20   14      3    5     4     4    2      1       1

The probability of an events, say E is the ratio of the number of favorable outcomes to the total number of outcomes.

[tex]P(E)=\frac{n(E)}{N}[/tex]

Compute the probabilities of 0 - 12 hurricanes each season as follows:

Number Frequency Probability

     0       5             0.07

     1              16                   0.21  

     2     20             0.27

     3      14             0.19

     4       3             0.04

     5       5             0.07

     6       4             0.05

     7       4             0.05

     8       2             0.03

    11       1                     0.01

    12         1              0.01

 Total     75             1.00

whats the square root of 10?? For each to the nearest 0.05.​

Answers

Answer:

3.16(i think)

Step-by-step explanation:

Daniel has to carry 32 boxes to his room. He can
carry 4 boxes on each trip. How many trips will
Daniel take? Show your work?

Answers

32 divided by 4= 8
So 8 trips in total

Daniel will take 8 trips.

What is division?

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

Number of boxes = 32

Number of boxes can be carried in each trip  = 4

So, Number of trips = Number of boxes / Number of boxes can be carried in each trip

⇒ Number of trips = 32/4

⇒ Number of trips = 8

this is the required number of trips Daniel will take.

Thus, Daniel will take 8 trips.

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What is the value of 3/4 divided by 3/8

Answers

Answer:

2

Step by Step Explanation

Keep Change Flip

3/4x8/3=24/12=2

Answer:

2

Step-by-step explanation:

3/4 divided by 3/8

3/4 x 8/3

cross simplify to get

1/4 x 8/1

cross simplify again to get

1 x 2 = 2

What is the value of cos(tan-1(0))?

–1
0
1
StartFraction pi Over 2 EndFraction

Answers

Answer:

answer is 1

Step-by-step explanation:

just did test on edge

The value of cos(tan^-1(0)) is 1. Therefore, option C is the correct answer.

We need to find the value of cos(tan^-1(0)).

What are the trigonometric ratios?

In mathematics, trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Now, cos(tan^-1(0))

⇒tan^-1(0)=0

⇒cos(0)=1

The value of cos(tan^-1(0)) is 1. Therefore, option C is the correct answer.

To learn more about trigonometric ratios visit:

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plz help me find x!!!!!!!!!!!!!!!!

Answers

Answer:

A: 45

B: 110

C: 25

Step-by-step explanation:

all angles of a triangle always add together to make 180

x + 25 + x + 65 = 180

combine like terms

2x + 90 = 180

subtract 90 from both sides of the equation

2x = 180 - 90

divide both sides of the equation by 2

x = 90/2

x = 45

A truck requires 1 gallon of gas to cover a distance of 10 miles. How many gallons of gas will it take to cover 200 miles?

Answers

Answer: 20

Step-by-step explanation:

Answer:

20 gal of gas

Step-by-step explanation:

200÷10=

20

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