The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has
been stretched by length x. Solve the formula fork to find the constant of a spring with a iven
potential energy and stretch.

Answers

Answer 1

Answer:

[tex]k = 2E/x^2[/tex]

Step-by-step explanation:

Given formula:

[tex]E = 1/2kx^2[/tex]

To solve for k, multiply both sides by 2 and divide by x²:

[tex]2E=kx^2[/tex][tex]k = 2E/x^2[/tex]
Answer 2

Answer:

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]

Step-by-step explanation:

The formula given is :

[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]

Now, multiply (×) both sides by 2 and divide (÷) by x^2

[tex]\sf\longmapsto \: 2E = kx²[/tex]

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]


Related Questions

Juanita is tying ribbon on gift bags. She has 24 feet of ribbon and each gift bag uses 0.75 foot of ribbon. The function

r = 24 -0.75g represents the amount of ribbon r Juanita has left after tying ribbon on g gift bags. Find the zero of the function. Describe

what this value means in the context of this situation

The zero of the function is at ___. This represents that after tying ribbon on ____ gift bags, Juanita will have ____ feet of ribbon left.

Answers

The zero of the function is at 32 gift bags. This represents that after tying ribbon on 32 gift bags, Juanita will have zero feet of ribbon left.

According to the question;

The function r = 24 -0.75g represents the amount of ribbon r Juanita has left after tying ribbon on g gift bags.

The zero of the function is at, r = 0.

Therefore;

0 = 24 -0.75g

g = 24/0.75

g = 32.

This value means that after tying 32 gift bags, Juanita will have zero feet of ribbon left.

Read more;

https://brainly.com/question/20828026

IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

Answers

Hey there!

Let's take the number of cows in the field as 'c'.

Then, the number of horses in the field is = c + 2 [2 more horses than cows]

Total number of animals on the field = 16.

So, equation becomes...

c + c + 2 = 16

2c + 2 = 16

Hope it helps ya!

5) How many gal. of a 65% saline solution
must be mixed with 8 gal. of pure water to
make a 25% solution?

Answers

I bell 2 gallons must be added. But if it’s wrong sorry :(

1) At Frannie's Fruit Market the price per orange (or unit rate) is $0.45. If a graph is made showing
the relationship between the number of oranges (x) and the total cost (y), which does not
represent the slope of the line?
50 POINTS

Answers

Answer:

b) 5/9

Step-by-step explanation:

The unit rate is same as the slope:

m = 0.45 = 45/100 = 9/20

Compare with the answer choices:

a) 45/100, Same or equivalentb) 5/9, Differentc) 9/20, Same or equivalentd) 27/60 = 9/20, Same or equivalent

ANSWER LAST QUESTION PLZZZ

Answers

Step-by-step explanation:

what ask you ask you not ask any question please write your question please mark me brainlist

def is a right triangle.

Answers

Answer:

false

Step-by-step explanation:

I am not sure about it if correct pls no mark me as brainliest tq

It’s not a right angle, the length is not the same

Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x+3
Leave your answer in the form y=mx+c

Answers

Answer:

y=-1/2x+7/2

Step-by-step explanation:

Gradient is negative reciprocal so -1/2x

3=-1/2x + 7/2

y=-1/2x+7/2

Answer:

perpendicular lines have the same gradient

y=2x+3

The gradient of the two lines is 2

Gradient=change in y/change in x

=y2-y1/x2-x1

Let (x,y) also lie on the line

2= y-3/x-1

2(x-1) =y-3

2x-2=y-3

2x-y=-3+2

2x-y= -1

2x+1 =y

y=2x+1

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY

Find the angles marked x,y and z.
ASAP

Answers

Answer:

x= 45°

y= 95°

z= 85°

hope this helps <3

Answer:

Step-by-step explanation:

x= 50

y+25=180(because it is on a straight line)

y+25=180

y+25=180

y+25-25= 180-25

y+0= 155

y= 155

z+ y=180

z+ 155= 180

z+ 155- 155 =180-155

z+ 0 =  25

z = 25

x = 50

y = 155

z = 25

Given that Cos(A) = .6 and csc(A) is -1.25, what is tan (a)

Answers

Answer:  -4/3

============================================================

Explanation:

cos(A) = 0.6 = 6/10 = 3/5

Recall that csc is the reciprocal of sine.

If csc(A) = -1.25, then sin(A) = 1/csc(A) = 1/(-1.25) = -0.8 = -8/10 = -4/5

Then we would have

tan(A) = sin(A)/cos(A)

tan(A) = sin(A) ÷ cos(A)

tan(A) = (-4/5) ÷ (3/5)

tan(A) = (-4/5) * (5/3)

tan(A) = -4/3

Answer:

-4/3

Step-by-step explanation:

Check the solution

w x and y are three integers w is 2 less than x y is 2 more than x prove that wy+ 4 =x^2

Answers

w + 2 = x

x + 2 = y

Cross multiply

y(w+2) = x(x+2)

wy + 2y = x^2 + 2x

make x the subject of the equation

x = y - 2

substitute this in place of (x) in 2x

wy + 2y = x^2 + 2(y-2)

wy + 2y = x^2 + 2y - 4

wy  + 2y - 2y + 4 = x^2

wy + 4 = x^2

what is the x and y intercept of 18x-3y=15

Answers

Answer:

18(0) -3y = 15

-3y=15

now divide-3 from both sides

y= 15/-3

reduced is -5

y int = (0,-5)

18x-3(0)=15

18x=15

divide the 18 from both sides

x=15/18

reduced is 5/6

x int = 5/6

(7x+19){}(x+1){}(x+5)

Answers

We move all terms to the left:

7x-19-(x+5)=0

We get rid of parentheses

7x-x-5-19=0

We add all the numbers together, and all the variables

6x-24=0

We move all terms containing x to the left, all other terms to the right

6x=24

x=24/6

x=4

standard form
y = -8x + 7

Answers

Y=-(8+7) standard form
Y=-1 answer

Choose the symbol that correctly compares the fractions below.

9/11 ? 10/11

a.) >
b.) <
c.) =

Answers

Answer:

b) <

Step-by-step explanation:

Answer:

b.)<

9 / 10 < 10 / 11

Hope it helps:-)

solve pls brainliesttt

Answers

Answer:

-343

-125

Here you go

Answer:

1. -343

2. 25

3. v+21=47   v= 26

Step-by-step explanation: Hope this helps!

Carpenter Chalberg is building a new wall in his house. The wall is 8 feet long and 8 feet tall. The wall will be framed with wood and also have studs (vertical supports) at least every 18 inches. The wall has no doors or windows. He is looking to purchase enough 8 foot boards of wood to make the wall’s frame. How many boards will Carpenter Chalberg need?

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

For studs 16" O.C., Chalberg will need 9: one at the beginning of each of the 16" spaces in the 96" width of the wall, and one at the end. That's a total of 6+1 = 7 studs.

The top and bottom edges of the wall are each 8', so will require 1 more board each.

The total number of boards Chalberg needs is 9.

What can you multiply 2 to 10 by to get the ratio of 4 to 20

Answers

Answer:

multiply both by 2

Step-by-step explanation:

2 x 2 = 4

10 x 2 = 20

Nancy sold tickets to a school play. She sold $426 worth of tickets. She sold 8 more adult tickets than children tickets and 3 times as many senior tickets than children tickets. If children tickets are $3, senior tickets are $4 and adult tickets are $6, how many adult tickets did Nancy sell

Answers

Answer:

So number of Adult tickets sold = A = 26.

Step-by-step explanation:

Define A, C, S as

A = number of adult tickets,

C = number of children tickets,

S = number of Senior tickets.

Then, by the statement of the problem, we have that

A = 8 + C,

S = 3C,

3C + 4S + 6A = 426,

so that

3C + 4(3C) + 6(8 + C) = 426

3C + 12C + 48 + 6C = 426

21C + 48 = 426

7C + 16 = 142

7C = 126

C = 126/7 = 18

A = 8 + 18 = 26

S = 3(18) = 54

The functions f and g are defined as follows.
f(x)=-3x-1
3
g(x)=2x? +2
Find f (2) and g(-2).
Simplify your answers as much as possible.

Answers

>> Answer :

__________

[tex] \: [/tex]

f(x) = -3x - 1

g(x) = 2x + 2

Soo :

f(2) :

f(2) = -3(2) - 1

f(2) = -6 - 1

f(2) = -7

.

g(-2) ;

g(-2) = 2(-2) + 2

g(-2) = -4 + 2

g(-2) = -2

Pls help due in 10 minutes

Answers

Answer:

here is your answer hope it helps you

I'm thinking of 2 numbers. Both numbers have the same absolute value. What number must be true about the 2 numbers?

Answers

Answer: they have the same number in them for example -4 and 4

Step-by-step explanation:

Which equation, when solved, results in a different value of x than the other three? O -7-9-20 0 + 5 3 7 X=-20 4 O 3 4. - (b)*--20 +7(49-2-06-4) 8 O ​

Answers

Answer:

1

Step-by-step explanation:

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?

Answers

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, the take-home pay that Adjoa earn in the past month is Ghc4,265.46

The gross salary is the amount received by an individual prior to the deduction of the taxes.

Given that:

Adjoa's gross salary for last month = Ghc4,687.24and Ghc421.78 was deducted from Adjoa's salary pay.

Then, the take-home that Adjoa earned in the past month is calculated by removing the amount deducted from her gross salary.

i.e.

= Ghc4687.24 - Ghc421.78

= Ghc4,265.46

Learn more about gross salary here:

https://brainly.com/question/13582411?referrer=searchResults

https://brainly.com/question/16688602

HURRY PLEASEEEEE

The measure of segment AB with a(-4,-9) and B(4, -3) is

Answers

Answer: 10

Step-by-step explanation:

using [tex]d = \sqrt{(x_{1}-x_{2} )^{2} +(y_{1}- y_{2} )^{2} }[/tex] when [tex]P_{1} =(x_{1} ,y_{1} )[/tex] and [tex]P_{2} = (x_{2}, y_{2})[/tex]

so [tex]d = \sqrt{((-4)-4)^{2}+((-9)-(-3))^{2} }[/tex]

[tex]d = \sqrt{(-4-4)^{2}+(-9+3)^{2} }[/tex]

[tex]d = \sqrt{(-8)^{2}+(-6)^{2} }[/tex]

[tex]d = \sqrt{64+36}[/tex]

[tex]d= \sqrt{100}[/tex]

[tex]d = 10[/tex]

please give me a brainliest answer

How do you write 3.707 x 10-8^-8 in standard form? ASAP BRAINLIST ​

Answers

.00000003707 I believe

please help and explain how to solve these! Thanks

Answers

2. C
Slope = 40/8 = 5
Slope of graph c = 5/1 = 5

3. D
Slope = 9/3 = 3
Slope of graph d = 81/27 = 3

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing sides in the triangles.

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]

Q2. [tex]c^{2}[/tex] = 8^2 + 40^2

[tex]c^{2}[/tex] = 1664

c = [tex]\sqrt{1664}[/tex]

c = 8[tex]\sqrt{26}[/tex]

Find the missing sides of the other triangles and figure out which ones are the same.

Q3. Do the same thing as Q2.

square root of 55 to the nearest integer

Answers

The nearest integer is 7 because the nearest perfect square root is 49. Answer is 7-8
7 good luck with your assignment

F(x)= 2x^3 + 5x^2 -x -6 is divided by x+1

What is the remainder and is it a fraction?

Remainder: 0 or -2
Is it a factor: yes or no

Answers

Step-by-step explanation:

substitute x= -1 into the equation to get the remainder

remainder= -2

the remainder is not a fraction

no, it is not a factor since its remainder is not zero

[tex]J=∫_e^b▒3dx/(xln^2 x)[/tex]

Answers

Answer:

huh rewrite the question

What are the characteristics of the graph of the inequality x < 4.5?

The ray will move to the left.
It will use a closed circle.
It will use an open circle.
The ray will move to the right.

Answers

Answer:

see explanation

Step-by-step explanation:

Given x < 5

The graph will have an open circle at 5 indicating that x is not equal to 5, which would be a closed circle.

The ray will move to the left since values less than 5 are to the left of 5

Answer:Please see explanation

Step-by-step explanation:

What are the characteristics of the graph of the inequality x < 4.5?

The answer is The ray will move to the left.

It will use an open circle.

Please votes me 5 stars,1 heart,and mark as brainliest. Thanks

Other Questions
PLZZZ HELP1. Humanism in Renaissance Europe is best defined as:A. an obedience to the Church.B. a belief that the state is more important than the individual.C. a rejection of the ancient civilizations of Greece and Rome.D. an appreciation for the basic worth of individual achievement.2. Renaissance Italy drew primarily from which of the following cultures?A. Greek and RomanB. Islamic and PersianC. Egyptian and NubianD. Byzantine and Russian3. Leonardo da Vinci's famous portrait with a mysterious smile is known as the:A. Mona Lisa.B. Birth of Venus.C. Roman Woman.D. Mary Ascending to Heaven.4. Which of the following ideas about leadership would Niccolo Machiavelli most likely support?A. Whatever is most effective is what is right.B. The will of the people is the only legitimate authority.C. In all things, one must first consider what is just and good.D. Before pleasing the people, or oneself, one must please God.5. Martin Luther's 95 Theses protested against:A. the sale of indulgences.B. the rise of secular rulers.C. doing business with non-Christians.D. translating the Bible into languages other than Latin. when did jonathan edwards wrote sinners in the hands of an angry god What protections were included in the fourteenth admendment which of the following is a physical property of the salt crystals shown here? A.they are gasB.they cannot burnc.they are a liquidD. they are clear white Pick a case where police used deadly force and present the facts to the class. You may want to review the Continuum of Force Pyramid in Part I De-Escalation: What Happens Before the Use of Force. You may also search for a case using the B.S. in Criminal Justice Library Guide.State whether you feel that deadly force was justified, and be sure to explain why you feel that way! How might photosynthesis account for seasonal changes in carbon dioxide in the atmosphere? ( for example, why might carbon dioxide levels be highest in May but lowest in October? ) comment signaler un probleme sur une chaine tv depuis votre mag250/254/256/260/270/322/349/351 Hansen and his good buddy Xavier are both mechanics at a shop that does oil changes. They are in a friendly competition to see who can complete the most oil changes in one day. Hansen has already finished 7 oil changes today, and can complete more at a rate of 2 oil changes per hour. Xavier just came on shift, and can finish 3 oil changes every hour. Sometime during the day, the friends will be tied, with the same number of oil changes completed. How many oil changes will Hansen and Xavier each have done? How long will that take? can someone please help me fill in the answer in the bottom. Help with test review homework please. If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.a) 15.8 cmb) 14.2 cmc) 12 cmd) 19.2 cm The American Association of Individual Investors (AAII) conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. For the week ending March , , the survey results showed bullish, neutral, and bearish. Assume these results are based on a sample of AAII members. a. Over the long-term, the proportion of bullish AAII members is . Conduct a hypothesis test at the level of significance to see if the current sample results show that bullish sentiment differs from its long-term average of . What are your findings factor the expression using the gcf 2t-10 How many combinations are possible? Assume the items are distinct.10 items chosen 10 at a time If you could return a decade what decade would you like to return? What is the x intercept of this quadratic/parabola? In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?A. 50B. 75C. 35D. 105E. 95 La suma de cuatro nmeros consecutivos es 938 cul es el valor del nmero menor Is the velocity constant threwout the trip Lynx Inc. sells apparel merchandise to Dyson Inc. at a gross sales price of $980, credit terms 2/10, n/30 on July 10, 2020. Dyson pays for the merchandise in full on July 19, 2020. Required:Record the entries required on July 10, 2020, and July 19, 2020, for Lynx Inc. Assuming use of the gross method in accounting for credit sales. Omit the cost of goods sold entry.