Explain why 1/6 hour + 1/3 hour =1/2 hour
2 answers:
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Answer:
(a)
(b)
(c)43 times
Step-by-step explanation:
<u>Part A</u>
The paper's thickness = 0.05mm
When the paper is folded, its width doubles (increases by 100%).
The thickness of the paper grows exponentially and can be modeled by the function:
<u>Part B</u>
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<u>Part C</u>
If the thickness of the paper, g(n)=384,472,300,000 mm
Then:
You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.
<h3>Answer:</h3>
An exponent represents repeated multiplication. For example, ...
... x^3 = x·x·x
... x^2 = x·x
If we divide these, the x's in the denominator cancel an equal number in the numerator:
... (x·x·x)/(x·x) = x
If we represent the repeated multiplication using exponents, we can represent the cancellation by subtraction:
... (x^3)/(x^2) = x^(3-2) = x^1 = x
Once we have this idea in mind that division can be done by subtracting denominator exponents, we can use it regardless of the magnitude or sign of the exponents involved.