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QUESTION 10 Write an equation that expresses the relationship. Use k as the cons

ID: 2912723 • Letter: Q

Question


QUESTION 10

Write an equation that expresses the relationship. Use k as the constant of variation.

The weight of a body above the surface of the earth is inversely proportional to the square of its distance from the center of the earth. What is the effect on the weight when the distance is multiplied by 7?

The weight is multiplied by 7

The weight is divided by 49

The weight is multiplied by 49

The weight is divided by 7

QUESTION 33

Solve the problem.

Two recording devices are set 2600 feet apart, with the device at point A to the west of the device at point B. At a point on a line between the devices, 300 feet from point B, a small amount of explosive is detonated. The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?

690 feet

1362.39 feet

1264.91 feet

3502.38 feet

QUESTION 43

106,000 people

53,000 people

1060 people

1059 people

QUESTION 45

2

7

QUESTION 21

Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate.

x2 + 4x + 8y + 36 = 0

(x - 2)2 = 8(y + 4)

(x + 2)2 = -8(y - 4)

(x + 2)2 = -8(y + 4)

(x - 2)2 = -8(y + 4)

QUESTION 23

Nonlinear

Linear

QUESTION 35

Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for the given function.

f(x) = 2x3 - 5x2 + x + 4

2 or 0 positive zeros, 1 negative zero

2 or 0 positive zeros, 1 or 0 negative zeros

2 or 0 positive zeros, 2 or 0 negative zeros

3 or 1 positive zeros, 3 or 1 negative zeros

QUESTION 38

Identity

Conditional equation

Inconsistent equation

The weight is multiplied by 7

The weight is divided by 49

The weight is multiplied by 49

The weight is divided by 7

Explanation / Answer

1) weight is inversely proportional to the square of its distance

W = K / d^2

when distance is multiplied by 7

W = k / (7d)^2

W = k / 49d^2

wieght is divided by 49

2nd option is correct

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