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Gelneren [198K]
3 years ago
8

Please help I will give out brainliest

Mathematics
2 answers:
adell [148]3 years ago
7 0

Answer:

              5N^2=3^2\times5^2\times x^6

Step-by-step explanation:

N=3×5²×x³

Then:

5N^2=5(3\cdot5^2\cdot x^3)^2=5\cdot3^2\cdot5^{2\cdot2}\cdot x^{3\cdot2}= 5\cdot3^2\cdot5^{4}\cdot x^6=5^{1+4}\cdot3^2\cdot x^6=5^5\cdot3^2\cdot x^6

likoan [24]3 years ago
5 0

Step-by-step explanation:

5.N^{2}=5.3^2.5^4.x^6=3^2.5^5.x^6

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\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{\textit{"F" inversely proportional to }\sqrt{g}}{F=\cfrac{k}{\sqrt{g}}}\qquad \textit{we also know that} \begin{cases} F=18\\ g=9 \end{cases} \\\\\\ 18=\cfrac{k}{\sqrt{9}}\implies 18=\cfrac{k}{3}\implies 54=k~\hfill\boxed{ F=\cfrac{54}{\sqrt{g}}} \\\\\\ \textit{when g = 36, what is "F"?}\qquad F=\cfrac{54}{\sqrt{36}}\implies F=\cfrac{54}{6}\implies F=9

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2 years ago
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