1. x^6y^14 / x^4Y^9

1 answer:

8 0

Please, post only one or two problems at a time, and include the instructions.

Focusing on the first problem (above): Instructions are "simplify:"

<span>x^6y^14 x^2*y^5
</span>x^6y^14 / x^4Y^9 = ------------- = ------------- = x^2*y^5.
<span> x^4Y^9 1

Note that (x^6) / (x^4) = x^(6-4) = x^2. Apply the same principle to y^14 / y^9.</span>

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$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

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(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

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