A force of 56N is required to keep a spring stretched 4m from the equilibrium position. How much work in Joules is done to stretch the spring 8m from equilibrium? Round your answer to the nearest hundredth if necessary.

Answer:

Here you go :)

Step-by-step explanation:

The number of years it would take an investment to triple with continuous compounding is 1.356 years.

The formula for calculating future value of an investment when there is continuous compounding is FV = A x [tex]e^{r}[/tex] x N

Where:

N = log(3) / log(e) / 0.81 = 1.356 years

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Answer:

Down here    ↓↓↓↓↓

Step-by-step explanation:

(a) Does the Parabola open upward or downward

Upward - the open "space" is above the vertex, so it opens upward

(b) X and y  intercepts

x - intercepts : where the graph touches the x - axis

                      x - intercepts = (2, 0) , (4, 0)

Warning, don't get it mixed up! X - intercepts have y - values of 0, and y - intercepts have x - values of 0

y - intercepts : where the graph touches the y - axis

                      y - intercepts = (0, 3)

(c)  Vertex of the parabola

vertex: the point of symmetry

          vertex : (4, -1)

(d) Axis of symmetry

axis of symmetry : x - value of vertex

                            axis of symmetry : x = 4

-Chetan K

The greatest number of pots that can be filled is 3.

In order to determine the greatest number of pots that can be filled, the quantity of soil available would be divided by the capacity of each pot.

Number of pots that can be filled = 1 1/4 ÷ 2/5

= 5/4  ÷ 2/5

= 5/4 x 5/2 = 25/8 = 3 1/8

Thus, the greatest number of pots that can be filled is 3.

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Answer:

[tex]\huge\boxed{z=6;\ x=12.5}[/tex]

Step-by-step explanation:

If two figures are similar, then corresponding sides are in proportion.

Therefore:

[tex]\dfrac{z}{15}=\dfrac{4}{10}\qquad|\text{cross multiply}\\\\10z=(15)(4)\\\\10z=60\qquad|\text{divide both sides by 10}\\\\\boxed{z=6}[/tex]

[tex]\dfrac{x}{5}=\dfrac{10}{4}\qquad|\text{cross multiply}\\\\4x=(5)(10)\\\\4x=50\qquad|\text{divide both sides by 4}\\\\x=\dfrac{50}{4}\\\\\boxed{x=12.5}[/tex]

Answer:

[tex]\huge\boxed{(x+7)(x+4)}[/tex]

Step-by-step explanation:

To factor a polynomial expression with a degree of 2, simply look at the second and last term (11x and 28).  Discard the x and you are left with 11 and 28.  

To factor the equation, simply find two numbers that add to 11, and multiply to 28, 4 and 7.  Then, simply use those two numbers to make the terms.

Hope it helps :) and let me know if you want me to elaborate.

Step-by-step explanation:

i think this is the answer if its wrong im sorry

Answer:

-0.8

Step-by-step explanation:

First move the variable terms to one side of the equal sign. I always move the smallest to the largest.

[tex]1.5a + 6 = 9a + 12 \\ - 1.5a \: \: \: \: \: \: \: \: \ \: - 1.5a[/tex]

Solve and move the constants to opposite side. I'm going to subtract 12 from both sides.

[tex] 6 = 7.5a + 12 \\ - 12 \: \: - 12[/tex]

Now solve for a by dividing both sides by 7.5

[tex] \frac{ - 6}{7.5} = \frac{7.5a}{7.5} [/tex]

[tex]a = - 0.8[/tex]

Answer:

The first amendment to the Constitution, which is actually a group of ten commandments

Step-by-step explanation:

The first amendment to the Constitution is actually a group of ten amendments called the Bill of Rights. The Bill of Rights guarantees all Americans certain freedoms, such as freedom of religion, freedom of the press, freedom of speech, the right to bear arms, and the right to a fair trial.

Answer:

Yes it is 4/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

U

Answer:

3

Step-by-step explanation:

[tex]x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)\\24=8(x^2+y^2)\\x^2+y^2=\frac{24}{8}\\x^2+y^2=3[/tex]

Answer:

7/15

Step-by-step explanation:

2/15 + 5/15 = 7/15

Hoped this helped.

Answer:

The answer is slope: -32 y-intercept:480

Step-by-step explanation:

I took the test

Answer: slope -32 y-intercept 480

Step-by-step explanation:

Took the k12 test

Answer:

Step-by-step explanation:

17

343.23 /18 is 19.0683333333

so the closest number to that is 17, if not try 23!

Answer:

See below

Step-by-step explanation:

Zeroes:

[tex]f(x)=\frac{2x^2+x-6}{x-1}[/tex]

[tex]0=\frac{2x^2+x-6}{x-1}[/tex]

[tex]0=2x^2+x-6[/tex]

[tex]0=(2x-3)(x+2)[/tex]

[tex]x=\frac{3}{2},-2[/tex]

Vertical and Horizontal Asymptotes:

[tex]x\neq 1[/tex] is excluded from the domain, therefore, there's a vertical asymptote at [tex]x=1[/tex]

No horizontal asymptotes as the degree of the numerator is greater than the degree of the denominator by 1.

Oblique (Slant) Asymptote:

[tex]f(x)=\frac{2x^2+x-6}{x-1}=2x+3,R(-3)[/tex], so the oblique/slant asymptote is [tex]y=2x+3[/tex]

Answer:

h + 10 > - 9.5 is the correct answer

Answer:

Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2. In other words, multiply together the length, height, and average of A and B.Step-by-step explanation:

Answer:

l=13in

Step-by-step explanation:

hope this helps

Answer:

13

Step-by-step explanation:

(40-7*2)/2=20-7=13

Answer: Slope formula: m = y2 - y1/ x2 - x1

2 - (-2)/ 1 - 0

2 + 2/1

4/1

Slope = 4

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Answer:

The answer is 17.5 dollars an hour, if you were to divide 70 by 4 that is what you would get as a result.  

Step-by-step explanation:

Answer: 62.5%

Step-by-step explanation:

We can just divide 250% by 4 since Yosef drank 1/4th of the bottle.

250 / 4 = 62.5

Answer:

62.5

Step-by-step explanation:

Answer:

p ≥ 1,000,000,000

Step-by-step explanation:

since it says "at-least" that is implying that, that is the estimate and there is most likely more people and it is not exactly 1,000,000,000 so we need to use ≥ to show that it could be greater than or equal to 1,000,000,000.

Answer:

subtract the new price from the original price

Step-by-step explanation:

To find the percent markdown, first subtract the new price from the original price

154.30-127.92

26.38

Then divide by the original price

26.38/154.30

.170965651

Multiply by 100% to get the percent decrease

17.0965651% decrease

Answer:

21, and 23

Step-by-step explanation:

divide 44 by 2 to find the integer that spits it up perfectly into two. Then just add 1 to one 22 and minus 1 to the other. Then its 21 and 23.

The International Financial Reporting Standards developed standards can

be implemented to ascertain the provisions and disclosures to be made.

The correct responses are;

According to the financial reporting standard, the contingent liability that

Amazon Inc. should disclose and the provision that Amazon Inc. should

recognize, based on the legal consent are;

Lawsuit 1: It is not required to make provision or disclosure because the

probability of the lawsuit progressing is remote and therefore, the

Company will not be required to payout money or lose economic benefits.

Lawsuit 2: The likelihood of the Company having pay the displaced

employees is high however, the amount payable is $2 million, and

therefore, a provision of $2 million is required in the financial reporting.

Lawsuit 3: The Company is not legally obliged to pay for or perform the

cleanup, but based on the relationship between the Company's waste

location, the river, and the community, there is a constructive obligation,

the amount of which cannot be determined with reliability.

Therefore, there is a requirement for disclosure as a contingent liability,

and not a provision as the claim cannot be classified as a provision.

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Answer:

X = - 31

Step-by-step explanation:

The < always faces the largest number so do. -10-20= - 30 so any number bellow that e.g.-31, -45 will be correct I think

Answer:

Step-by-step explanation:

Answer: hopefully this helps!