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defon
3 years ago
14

Is a ratio a rate always, sometimes, or never?

Mathematics
1 answer:
Shalnov [3]3 years ago
7 0
A ratio is a statement of how two numbers compare so never
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T^{2} = \frac{4 \pi^{2}}{GM} r^{3}

Move \frac{4 \pi^{2} }{GM} to the other side of the equation:
T^{2} /\frac{4 \pi^{2} }{GM} = r^{3}  \\ 
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Rearrange:
r^{3} = T^{2} *\frac{GM}{4 \pi^{2} } \\ 
r^{3}= \frac{T^{2} *GM}{4 \pi^{2} }  \\ 
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Since x^{3}= \sqrt[3]{x}, then
r^{3} = GMT^{2}/4 \pi^{2} \\ 
r= \sqrt[3]{GMT^{2}/4 \pi^{2}}
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