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Keith_Richards [23]
3 years ago
10

Explain your reasoning as you compare the values of a^n and a^-n when n<0 brainly

Mathematics
1 answer:
mojhsa [17]3 years ago
4 0

n < 0, is another way to say "n is negative", so let's check


\bf ~~~~~~~~~~~~\textit{negative exponents}&#10;\\\\&#10;a^{-n} \implies \cfrac{1}{a^n}&#10;\qquad \qquad&#10;\cfrac{1}{a^n}\implies a^{-n}&#10;\qquad \qquad&#10;a^n\implies \cfrac{1}{a^{-n}}&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;a^n~\hspace{10.5em}\stackrel{n = -n}{a^{-n}}\implies \cfrac{1}{a^n}&#10;\\\\\\&#10;a^{-n}~\hspace{10em}\stackrel{n=-n}{a^{-(-n)}}\implies a^{+n}\implies a^n

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Every day, Jason runs for 36 minutes and lifts weights for 44 minutes. How many minutes will Jason spend working out in 8 days?
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10

Step-by-step explanation:

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Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,
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If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

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wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

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Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

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Then

\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.

Answer 2: correct choice is D.


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