P(t) = 646*0.66^t . . . . . exponential function for population
p(10) = 646*0.66^10 ≈ 10 . . . population in 10 years
There are 16 ounces in 1 pound that should help
Given:
![7v-(6-2v)=12](https://tex.z-dn.net/?f=7v-%286-2v%29%3D12)
Our first step would be to distribute the (6-2v) by -1, since there is an understood -1 in front of the parenthesis. We are then left with:
![7v-6+2v=12](https://tex.z-dn.net/?f=7v-6%2B2v%3D12)
Combine like terms.
![9v-6=12](https://tex.z-dn.net/?f=9v-6%3D12)
Add 6 to both sides to isolate 9v on one side of the equation.
![9v=18](https://tex.z-dn.net/?f=9v%3D18)
Divide both sides by 9 to isolate v.
![\frac{9v}{9}=\frac{18}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B9v%7D%7B9%7D%3D%5Cfrac%7B18%7D%7B9%7D)
Simplify.
![v=2](https://tex.z-dn.net/?f=%20v%3D2%20)
Answer:
I thank it is D
Step-by-step explanation:
![(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}](https://tex.z-dn.net/?f=%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D%20%5Cfrac%7Ba%5E2%7D%7B4%7D)
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>
![(8a^{-3})^{\frac{-2}{3}](https://tex.z-dn.net/?f=%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D)
We have to write in simplest form
<em><u>Use the following law of exponent</u></em>
![(a^m)^n = a^{mn}](https://tex.z-dn.net/?f=%28a%5Em%29%5En%20%3D%20a%5E%7Bmn%7D)
Using this, simplify the given expression
![(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}](https://tex.z-dn.net/?f=%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D%208%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%5Ctimes%20a%5E%7B%20-3%20%5Ctimes%20%5Cfrac%7B-2%7D%7B3%7D%7D%5C%5C%5C%5CSimplifying%5C%20we%5C%20get%5C%5C%5C%5C%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D%208%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%5Ctimes%20a%5E2%5C%5C%5C%5CWe%5C%20know%5C%20that%5C%208%20%3D%202%5E3%5C%5C%5C%5CTherefore%5C%5C%5C%5C%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D2%5E3%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%5Ctimes%20a%5E2%5C%5C%5C%5C%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D2%5E%7B-2%7D%20%5Ctimes%20a%5E2%5C%5C%5C%5C%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D%20%5Cfrac%7Ba%5E2%7D%7B4%7D)
Thus the given expression is simplified