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:

175% increase

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

  0.15q + 0.05(390 -q) = 0.08(390)

  0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

  q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

  390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

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Additional comment

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

Answer:

the answer is c

Step-by-step explanation:

u welcome

The value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).

According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

In the question, we are shown a right triangle with the hypotenuse as t, and the legs as r and s.

We are asked to solve for r in terms of other variables.

By Pythagoras theorem in the given right triangle, we can say that:

r² + s² = t², which is the required equation.

To solve for r in terms of other variables, we do as follows:

r² + s² = t²,

or, r² + s² - s² = t² - s² {Subtracting s² from both sides of the equation},

or, r² = t² - s² {Simplifying},

or, r = √(t² - s²) {Square rooting both sides of the equation}.

Thus, the value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).

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Answer:

then z is a factor of x??? huh??

Inequalities are used to represent unequal expressions.

The inequality is [tex]24 + 8R \ge 100[/tex]

The given parameters are:

[tex]Paid = 24[/tex]

[tex]Rolls = 12[/tex]

[tex]Cost = 8[/tex] --- the unit cost per roll.

Assume the number of additional roll is R.

So, the total number of sushi is:

[tex]Total=Paid + Cost \times R[/tex]

This gives

[tex]Total=24 + 8\times R[/tex]

Multiply 8 and R

[tex]Total=24 + 8R[/tex]

The sushi needed is at least 100.

This implies that:

[tex]Total \ge 100[/tex]

So, we have:

[tex]24 + 8R \ge 100[/tex]

Hence, the inequality is [tex]24 + 8R \ge 100[/tex]

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Answer:

1/2

Step-by-step explanation:

The dice has 6 faces therefore the probability that three will show is 3/6 which when divided gives you 1/2

The place value of 7 in words in 5.3479 is seven thousandths

The given number is 5.3479

The underlined digit has been identified as 7

The place values of each of the digits in 5.3479 are:

5 = 5 units

3 = 3 tens

4 = 5 hundredths

7 = 7 thousandths

9 = 9 ten thousandths

Therefore, the place value of 7 in words in 5.3479 is seven thousandths

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Answer:

32 muffins

Step-by-step explanation:

one cup of milk will make 32 muffins

you can set up a proportion of milk/muffins = milk/muffins

let 'x' = number of muffins made from one cup of milk

5/8 ÷ 20 = 1 ÷ x

cross-multiply to get 5x = 20(8)

5x = 160

x = 32

Answer:

2. d. 0.0008

3. b. 0.07

4. c. thousandths

5. c. 0.005

Answer:

Mixed=7 14/25 improper=189/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Group B, lower values of dots, with lower amounts of dots.

The area of the pool is the amount of space it occupies

The expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

Let the dimension of the pool be x and y, where x represents width and y represents length.

So, the relationship between the width and the length is given as:

[tex]\mathbf{y = 15 + x}[/tex]

The area of the pool would be:

[tex]\mathbf{A = xy}[/tex]

Substitute 15 + x for y

[tex]\mathbf{A = x(15 + x)}[/tex]

Open bracket

[tex]\mathbf{A = 15x + x^2}[/tex]

And the perimeter of the pool would be

[tex]\mathbf{P = 2(x + y)}[/tex]

Substitute 15 + x for y

[tex]\mathbf{P = 2(x +15 + x)}[/tex]

[tex]\mathbf{P = 2(2x +15)}[/tex]

Open brackets

[tex]\mathbf{P = 4x +30}[/tex]

Hence, the expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

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Answer:

x

Step-by-step explanation:

x times 4 = 4x

4x in 4 quarters: x x x x

One quarter^^ = x

Answer:

11.1

Step-by-step explanation:

The percentage error for the given data will be 12.5%

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

The percentage error will be calculated as:-

percent error = (|experimental value - theoretical value| / theoretical value) x 100

In this case, the experimental value is 3600 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:

percent error = (|3600- 3200| / 3200) x 100 = (400/ 3200) x 100 = 12.5%

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Answer:

l = 7x - 9

Step-by-step explanation:

The length of the rectangle is represented by the expression "7x - 9".

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 (length + width)

Therefore, we can set up the equation:

20x - 18 = 2 (length + (3x - 1))

Expanding the parentheses and combining like terms, we get:

20x - 18 = 2 × length + 6x - 2

Moving all the terms to one side, we get:

14x - 18 = 2 × length

Dividing both sides by 2, we get:

7x - 9 = length

Thus, the rectangle's length is expressed by the expression "7x - 9".

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Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{k}}[/tex] probability that “Relaxation Through Mathematics” is first to review.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

The probability is:

[tex]p = \frac{D}{T} = \frac{1}{k}[/tex]

A similar problem is given at https://brainly.com/question/24483829

Answer:

$12

Step-by-step explanation:

Answer:

-5x + 3

Step-by-step explanation:

1/3 x - 4x -5/3x + 1/3 x +3

2/3 x -4 -5/3x + 3

3/3x -4x +3

-1 1x -4x + 3

- 5x + 3

:)

Answer:

−3.82×10^-14

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

−3.82×10^-14

The annual percentage rate is the interest rate for payment for the car

loan.

The given parameters are;

The amount of loan Terry and Jim have = $26,004

The annual percentage rate (APR) on one loan = 3.1 %

The annual percentage rate (APR) on the other loan = 7 %

Total interest paid after one year = $1,481.25

Required:

The amount owed on each car

Solution:

Let X represent the loan, with 3.1% APR, we have;

The other loan with 7% APR = 26,004 - X

Therefore;

0.031·X + 0.07·(26,004 - X) = 1,481.25

0.031·X + 1,820.28 - 0.07·X = 1,481.25

1,820.28 - 1,481.25 = 0.07·X - 0.031·X = 0.039·X

339.03 = 0.039·X

Therefore;

Therefore;

The amount owed on the car with an APR of 7% ≈ 26,004 - 8693.08 =

17310.92.

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Answer:

xd

Step-by-step explanation:

3X+4y=8

this is the graph that represents the solution

Answer:

7.9000000÷96

=0.0822916667

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

2 - (-2)/ 1 - 0

2 + 2/1

4/1

Slope = 4

Would appreciate brainly <3

Answer:

the third graph.

the one where x intercept with 2

Step-by-step explanation:

2x-4=0

2x=4

x=2

therefore the graph should have a line that have a x-intercept of 2

Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.

For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:

[tex]E(X) = np[/tex]

In this problem:

Then:

[tex]E(X) = np = 2(0.535) = 1.07[/tex]

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Answer:

(c) The effect of a larger sample size on the margin of error is that the margin of error will increase.

Step-by-step explanation:

Answer:

The slope is:

[tex] \binom{1}{2} [/tex]

In slope-intercept form the equation is:

[tex]y = \binom{1}{2} x - 3[/tex]

Answer:

4 pounds

Step-by-step explanation:

when you match it on the graph it corresponds to 4

steps

match 18 which is in between 16 and 20 to the weight and you will see it moves and is correspondence to 4

Answer:

35

Step-by-step explanation:

[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]

Answer:

1/2. and 12/24

they are both halves just as the ratio is half of the given number