3 years ago

Please Help :) -

Mathematics

1 answer:

Llana [10]3 years ago

6 0

The answer is 74.6 I did that question

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The pressure of a gas p(v) varies inversely with the volume of the gas v. The pressure of a gas measures 25 kg/cm^2 when its vol

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$\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \stackrel{\textit{\underline{p(v)} varies inversely with \underline{v}}}{p(v)=\cfrac{k}{v}}\qquad \textit{we also know that } \begin{cases} p(v)=25\\ v=200 \end{cases} \\\\\\ 25=\cfrac{k}{200}\implies 5000=k\qquad therefore\qquad \boxed{p(v)=\cfrac{5000}{v}}$

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