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bezimeni [28]
3 years ago
10

By what factor would your weight be multiplied if earth's diameter were 1/ 4 as big and earth's mass remained unchanged?.

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

Answer:

  16

Step-by-step explanation:

Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...

  1/(1/4)² = 16

You would weigh 16 times as much.

_____

<em>Additional comment</em>

The distribution of mass within the earth also affects your weight.

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liq [111]

Answer:

the 4th one

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6 0
3 years ago
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Factor the expression: x^6-729. Show your work Please.
Brut [27]

Answer:

  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)

Step-by-step explanation:

<u><em>Use of formulas:</em></u>

  • <em>a^2 - b^2 = (a + b)(a -b)</em>
  • <em>a^3 + b^3 = (a + b)(a^2 - ab + b^2)</em>
  • <em>a^3 - b^3 = (a - b)(a^2 + ab + b^2)</em>

<u>Given the expression: </u>

  • x^6-729

<u>Factoring 729</u>

  • 729 = 3*3*3*3*3*3 = 3^6

<u>Factoring the expression </u>

  • x^6 - 3^6 =
  • (x^3)^2 - (3^3)^2 =
  • (x^3 + 3^3)(x^3 - 3^3) =
  • (x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
7 0
3 years ago
Determine whether each pair of expressions is equivalent.show your work. 4p + 3c and (c +2p)(2)
shtirl [24]

Answer:

Not equivalent

Step-by-step explanation:

4p + 3c

(c + 2p)(2)

2c + 4p

No equal

3 0
3 years ago
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ABC is translated 4 unite to the loft and 8 unito up, thon roflooted
gayaneshka [121]

Answer:

(-3, 13)

Step-by-step explanation:

Coordinate of A is (7,5)

4 units to the left means (7-4, 5) --> (3,5)

8 units up means (3, 5+8) --> (3,13)

Reflected across the y-axis means that the sign of whatever x coordinate you have now will be reversed.

So (-3,13)

3 0
3 years ago
In a recent​ study, volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on a math tes
Shalnov [3]

Answer:

Step-by-step explanation:

Sleep Deprivation

In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.

(a) Identify the sample used in the study.

(b) What is the sample's population?

(c) Which part of the study represents the descriptive branch of statitics?

(d) Make an inference based on the results of the study?

Solution

A. The samples used is the hours of sleep and math test scores of the volunteers

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D.Inference: To perform well in a math test, a person should get at least 8 hours of sleep the night before.

3 0
3 years ago
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