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

Toby gets 78 votes which is 52 percent how many voted in Tobys grade

Answers

Answer:

52% = 0.52

78/0.52 =150

150 students voted

Answer:

150

Step-by-step explanation:

When you multiply a number by a percentage you have to convert the percentage to a decimal so 52% turns into 0.52. If you multiply the number of votes by 0.52 it should equal to 78. In order to find the total number of votes.  you have to go backwards and divide. So you divide 78 by 0.52 and it should give you 150.

what is 3.14 x 11 x2

Answers

Answer:jurrhthrhth

Step-by-step explanation:hdhdbbdfh

Answer:

69.08

Step-by-step explanation:

I hope this helped!

Use the distributive property to find an expression that is equivalent to
2x(x + 7)-(3x +1)

Answers

Given expression:

     2x(x + 7)-(3x +1);

To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;

  2x(x + 7)-(3x +1)  

  Distribute 2x over the first parentheses;

   the negative sign distributes over the second part

    = (2x² + 14x)  - 3x -1

    = 2x² + 14x -3x -1

    Add like terms;

    = 2x² + 11x -1

This expression  2x² + 11x -1 is equal to the given one


Which graph represents a function?

Answers

Answer:

graph c represent a function

Step-by-step explanation:

if you do the line test the line will not hot any other points  excpet one

C is the answer for this

how do you divide 78.74 divided by 12.7 in steps

Answers

Answer:

6.2

Step-by-step explanation:

wjdjcjsbrifwixis

the abbreviation for the constant change in a graph or table?​

Answers

Answer:

ROC

Step-by-step explanation:

ROC. rate of change

On a table or graph, the constant change is same as the unit rate, rate of change or slope, which can be denoted as m.

Constant change on a graph or table simply refers to the rate of change of the output (y) over the change in input (x).

Constant change in a graph or table is the same as the unit rate or the slope value which is dented by the letter m.

Constant rate of change, unite rate, and slope can be denoted as m of a graph or table.

Learn more here:

https://brainly.com/question/23184256

The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?


Cheddar Corn Caramel Corn
10 15
20 30
30 45
1.5
5
15
0.67

Answers

It is 1.5. You have 1.5 pieces of Caramel corn for every 1 piece of Cheddar

Answer:

1.5

Step-by-step explanation:

Cheddar Corn Caramel Corn

        10                         15

        20                         30

        30                    45

(10,15) (20,30) (30,45)

if you graphed this the unit rate would be (1,1.5)

the constant of proportionality is 1.5

hello please help will give brainliest!

Answers

The answer is A. because the first part shows the ratio 3:2 and the other 2 shows equivalent ratios.

-8 is less than w, and 8 is greater then w

Answers

I’m not sure what the question is but W May equal 0

Answer:

I think its 0

Step-by-step explanation:

This is because -8 would be less than 0 and 8 would be bigger than 0.

0 is also the number in between both numbers and are equal distances.

Also I THINK this is right sorry if it's not, it's just what I think makes sense.

In ΔTUV, t = 6.6 inches, ∠U=71° and ∠V=36°. Find the length of u, to the nearest 10th of an inch.

Answers

Answer:

6.5

Step-by-step explanation:

\text{A.S.A.}\rightarrow \text{Law of Sines}

A.S.A.→Law of Sines

\frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

=

sinB

b

From reference sheet.

\text{Find other angle:}

Find other angle:

\angle T=180-71-36=73^{\circ}

∠T=180−71−36=73

T

U

V

t = 6.6

u = ?

71°

36°

73°

\frac{u}{\sin 71}=\frac{6.6}{\sin 73}

sin71

u

=

sin73

6.6

Plug in. Opposite sides go together.

u=\frac{6.6\sin 71}{\sin 73} \approx 6.526 \approx 6.5

u=

sin73

6.6sin71

≈6.526≈6.5

Solve for the side and evaluate.

Answer:

6.5

Step-by-step explanation:

deltamath

7th grade Math help please

Answers

Answer: B. 100-h < 40+2h

Step-by-step explanation: If it says the first tank is less it probably is B and not D.

Answer:

Step-by-step explanation:

Its D

Its not B because:

100-1=99 cant be less than 40+4=44

Good luck!

not sure need help ​

Answers

Answer:

9^8

43046721

Step-by-step explanation:

Nvm it’s Alrwasy answered

4(a + 2) + 2 = 4 - 2(-2a - 3)

Answers

Answer:

0=0

Step-by-step explanation:

4(a + 2) + 2 = 4 - 2(-2a - 3)

4a +  8 + 2 = 4 + 4a + 6

4a + 10 = 10 + 4a

0 = 0

Which of these is another way to write the function f(x)=5x?

a. f(x)=1/4(625x)

b. f(x)=(625x)1/125

c. f(x)=(625x)1/4

d. f(x)=1/125(625x)

Answers

Answer:

d

Step-by-step explanation:

when f(x)=5......It can also be

f(x)=1/125(625x)

every whole number over one...1(625x)=625x

also 125(1)=125 therefore (625/125)x=5x

which statement best describes f(x), graphed on the coordinate plane below?

Answers

Hola cómo estás estás en el hospital y cómo te vas ir mañana a esperar a

Determine the slope given the two points:
(4, 9) and (1, 6)
m=

Answers

Answer:

1

Step-by-step explanation:

y2-y1

/

x2-x1

6 - 9

/

1-4

= -3/-3

which simplifies to 1

I need help!!!! I don’t understand this at all

Answers

Answer:

ixtjtxgixgixyixiyxyifyicjgckckhckhcjgckckhckhckhcihciyciyfiyfiyfiyfiyfiyyif

Step-by-step explanation:

ridutd6utsutsursustysysyytshfzyrsyrsyrsyrsutd

11) 576 + m = 1000 for m = 524
True or false

Answers

False, 1000-576=424
M=424

Answer:

False

Step-by-step explanation:

M= 424

prob ion know but yeah

18+ (-40 =||
please answer

Answers

It would equall 22

Subtract 18 from both sides of the inequality.

a<40−18

Subtract 18 from 40.

a<22

The result can be shown in multiple forms.

Inequality Form:

a<22

Interval Notation: (−∞,22)

I believe the answer is 22

Kelly made six batches of cookies his friends asked her to make an extra batch she’s 17 1/4 cups of sugar and needed another 7/8 cups for the extra batch how many cups of sugar will Kelly use all together

Answers

Answer:

18 1/8

Step-by-step explanation:

Use the formula to determine the number of black squares in the first five figures of the Sierpinski Carpet given by the partial sum:

For this sum:
a1 = 1
r = 8
n = 5

The number of squares in the first five figures is = 4681

Answers

Using a geometric sequence, it is found that the number of black squares in the first five figures of the Sierpinski Carpet is of 4681.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio r.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1r^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The sum of the first n terms of a sequence is given by:

[tex]S_n = \frac{a_1(1 - r^n)}{1 - r}[/tex]

In this problem, the parameters are: [tex]a_1 = 1, r = 8, n = 5[/tex], hence:

[tex]S_n = \frac{1(1 - 8^5)}{1 - 8} = 4681[/tex]

The number of black squares in the first five figures of the Sierpinski Carpet is of 4681.

More can be learned about geometric sequences at https://brainly.com/question/11847927

Answer:

1, 8, 5

Step-by-step explanation:

4681, 2,396,745

22 – 2(12 = 4+2*3) 3+7

Answers

The question is a bit confusing because there are parenthesis around and = which really doesn’t make sense but summarized I got -2=37

What fraction is equal to 5/7

Answers

The answer is

[tex]\frac{10}{14} \frac{15}{21} \frac{25}{35} \frac{30}{42} \frac{35}{49}[/tex]

To learn more, take a look at this chart please.

Answer:

Any of these

10/14

15/21

20/28

etc.

Step-by-step explanation:

Basically, if you multiply the fraction by the same number, it will be equal.

13 = 11 - 4x
Two step equation please help?

Answers

Exact form: X= -1/2
Decimal form: X= -0.5

A triangular prism has a base area of 15 square meters. If the volume of the prism is 135 cubic meters, what is the height of the prism? SHOW YOUR WORK. (5 points)

a
3 meters

b
45 meters

c
9 meters

d
27 meters

need done quick

Answers

Answer is C. 9 meters
135/ 15 = 9

Please help math lines again my profile is filled with them by now

Answers

Answer: Soil loss is caused by a variety of factors, including erosion from wind and water, mechanical tilling, logging, agricultural practices, and poor water management. Erosion and sedimentation, the major effects of soil loss, are widespread and can be devastating.

Erosion

Erosion is a natural process on hill slopes. The rate of erosion is determined by several factors, including soil type, rainfall, and length and percent of slope. Generally, human-induced changes in the landscape lead to higher levels of erosion than would occur naturally. While there are many ways to minimize erosion, vegetative cover is the most effective over the long term. Eroding road.When vegetation is removed, the rate of soil erosion is greatly accelerated, often beyond sustainable levels.

Sedimentation

Eroded soil deposited downslope is referred to as sedimentation. When severe rain or wind events occur or soils are disturbed by human

The Sedimentation Control Act of 1973 requires operators to implement short- and long-term mitigation measures to reduce erosion on- and off-site. Forest landowners who wish to harvest trees are exempt from these regulations if they comply with forestry practice guidelines, which include erosion control measures and mitigation. Best management practices (BMPs) are voluntary practices that reduce sources of se

Step-by-step explanation:

60000 is how many times greater then 600

Answers

Answer:

100 times greater

Step-by-step explanation:

It is 100 times greater because 600*100 = 60,000

domain: {4, 0} range: (-2, 0, 2}
b. domain: {4, 0, 4} range: (-2, 0, 2}
domain: (-2, 0, 2), range: {4,0}
d. domain: (-2, 0, 2), range: {4, 0, 4}

Answers

Answer:

C

Step-by-step explanation:

I believe the answer is C

A package of 3pairs of insulated gloves cost $17.97. What is the unit price of the pairs of gloves

Answers

$5.99 hope that helpssss

If m∠1 equals (4x + 2) and m∠3 equals (5x − 25), what is the value of x?

Answers

Step-by-step explanation: the answer is x = 1/2

The value of x is 27 units.

It is required to find the value of x.

What is angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

If m∠1 equals (4x + 2) and m∠3 equals (5x − 25),

According to given question we have,

m∠1 =m∠3

(4x + 2)=(5x − 25)

compare the like terms and simplify we get,

2+25=5x-4x

27=x

Therefore, the value of x is 27 units.

Learn more about angle here:

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