7-2 Module Seven Problem Set PDF

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[PRINT] MAT-140-T2435 20EW2 Precalculus, 7-2 Problem Set: Module Seven , 12/8/20 at 12:01:56 PM EST

Question1: Score 5/5

Write an equation describing the relationship of the given variables.

varies directly as the fourth power of

and when

Your response

Correct response

4*x^4

4*x^4

,

.

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The general formula for direct variation with a fourth power is be found by dividing by the fourth power of .

. The consta

Now use the constant to write an equation that represents this relationship.

Use the given information to find the unknown value.

varies directly as the cube of . When

, then

. Find

when

.

Enter the exact answer.

Your response

Correct response

320/27

320/27

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Total grade: 1.0×1/1 = 100% Feedback:

The general formula for direct variation with a cube is found by dividing by the cube of .

. The constant c

Now use the constant to write an equation that represents this relationship.

Substitute

and solve for .

Question4: Score 5/5

Use the given information to find the unknown value.

varies inversely with the cube of . When

, then

. Find

when

Enter the exact answer.

Your response

Correct response

27/1

27

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The general formula for inverse variation with a cube is found by multiplying

by the cube of .

. The constant c

Substitute

and solve for .

Question5: Score 5/5

Use the given information to answer the question.

The distance that an object falls varies directly with the square of the time, , of t If an object falls feet in one second, how long will it take for it to fall feet?

Round your answer to two decimal places.

It will take Your response 1.73

Correct response 1.73±0.01

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seconds for the object to fall

feet.

Total grade: 1.0×1/1 = 100% Feedback:

The general formula for direct variation with a square is found by dividing by the square of .

. The constant c

Now use the constant to write an equation that represents this relationship.

Substitute

and solve for .

It will take the object about

Question6: Score 5/5

seconds to to fall

feet.

Use the given information to answer the question.

The weight of an object above the surface of the Earth varies inversely with the sq the distance from the center of the Earth. If a body weighs pounds when it is miles from Earth’s center, what would it weigh if it were miles from Earth’s cen

Round your answer to two decimal places.

The body would weigh Your response

Correct response

49.13

49.13±0.01

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pounds if it were

miles from Earth's center.

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Let

be the distance of the object from Earth's center and

The general formula for inverse variation with a square is found by multiplying

be the weight of the . The constant

by the square of .

Now use the constant to write an equation that represents this relationship.

The body would weigh about center.

pounds if the object is

miles from the

Question7: Score 5/5

Use a calculator to evaluate the expression.

Round your answer to the nearest hundredth.

Your response 1.08

Correct response 1.08±0.01

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radians

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Using a calculator in radian mode, we see

Question8: Score 5/5

.

Use a calculator to evaluate the expression.

Round your answer to the nearest hundredth.

Your response 0.19

Correct response 0.19±0.01

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radians

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Using a calculator in radian mode, we see

.

Question9: Score 5/5

Find the angle , in radians, in the given right triangle. The length of the side ad to is 16 and the length of the side opposite is 10.

10

16

Round your answer to the nearest hundredth.

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Because we know the side opposite and the side adjacent to the angle, it makes se us to use the tangent function.

Question10: Score 5/5

What percentage grade should a road have if the angle of elevation of the roa degrees? (The percentage grade is defined as the change in the altitude of the roa a -foot horizontal distance. For example a grade means that the road rises for every feet of horizontal distance.)

Round your answer to two decimal places.

The road should have a(n) Your response 7

Correct response 6.99±0.01

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grade.

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We know that the elevation of the road is degrees. If the horizontal distance is we want to know the altitude. See the figure below....