Answer :
If a piece of paper with a thickness of 0.0001 meters is doubled fifty times, the resulting pile would have a height of 1,125,899.8 meters.
Height of stacked papers
To determine the height of a pile if a piece of paper, which is 0.0001 meters thick, is doubled fifty times, we can calculate the total thickness by multiplying the initial thickness by 2 raised to the power of fifty.
Let's denote the initial thickness as t = 0.0001 meters.
Total thickness after doubling once: 2t
Total thickness after doubling twice: 2 * 2t = [tex]2^2[/tex] * t
Total thickness after doubling fifty times: [tex]2^{50[/tex] * t
Calculating the height of the pile:
Total thickness = [tex]2^{50[/tex] * t
Substituting the value of t = 0.0001 meters:
Total thickness = [tex]2^{50[/tex] * 0.0001 meters
Total thickness ≈ 1125899.8 meters
Therefore, if a piece of paper with a thickness of 0.0001 meters is doubled fifty times, the resulting pile would have a height of approximately 1,125,899.8 meters.
More on thickness of papers can be found here: https://brainly.com/question/27801545
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If a piece of paper with a thickness of 0.0001 meters is doubled fifty times, the resulting pile would have a height of 1,125,899.8 meters.
Height of stacked papers
To determine the height of a pile if a piece of paper, which is 0.0001 meters thick, is doubled fifty times, we can calculate the total thickness by multiplying the initial thickness by 2 raised to the power of fifty.
Let's denote the initial thickness as t = 0.0001 meters.
Total thickness after doubling once: 2t
Total thickness after doubling twice: 2 * 2t = * t
Total thickness after doubling fifty times: * t
Calculating the height of the pile:
Total thickness = * t
Substituting the value of t = 0.0001 meters:
Total thickness = * 0.0001 meters
Total thickness ≈ 1125899.8 meters
Therefore, if a piece of paper with a thickness of 0.0001 meters is doubled fifty times, the resulting pile would have a height of approximately 1,125,899.8 meters.
More on thickness of papers can be found here: brainly.com/question/27801545
#SPJ11
