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lesya692 [45]
3 years ago
5

Find the product. y4 · y5

Mathematics
1 answer:
Alexandra [31]3 years ago
8 0
I would assume this to be equal to y⁴ ₓ y⁵

= y⁴ ⁺ ⁵,   By law of indices.

= y⁹

I hope this helped.
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How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
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\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
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3 0
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