Answer:
b(4) = -8
Step-by-step explanation:
We are to find the 4th term.
n = 4
b(n) = 1(-2)ⁿ⁻¹
b(4) = 1(-2)⁴⁻¹
b(4) = 1(-2)³
b(4) = 1(-8)
b(4) = -8
Answer:
really? :D
Step-by-step explanation:
2/3 = 11/x
(11)2/3 = 11/x(11)
11/3 = x
x = <span>3.66666666667
So your answer is ....
x = 3.7
Good luck! :))
</span>
To find the percent increase, we divide the amount of change by the original number. The amount of change is the difference between the 2 numbers which in this case is 700 - 620 and the original number is 620.
![\frac{700 - 620}{620}](https://tex.z-dn.net/?f=%5Cfrac%7B700%20-%20620%7D%7B620%7D)
700 - 620 is 80 so we're left with
which is 0.129.
Finally, since our problem is asking for a percent, we write 0.129 as a percent by moving the decimal point 2 places to the right to get 12.9%
So when the population of a town changes from 620 to 700, it has increased by 12.9%.
Answer:
![5)\ \ \left( x^{8}y^{4}\right)^{\frac{1}{10} } +3\left( x^{\frac{1}{5}}y^{\frac{1}{10} \right)^4=4x^{\frac{4}{5}}y^{\frac{2}{5}}](https://tex.z-dn.net/?f=5%29%5C%20%5C%20%5Cleft%28%20x%5E%7B8%7Dy%5E%7B4%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B10%7D%20%7D%20%20%2B3%5Cleft%28%20x%5E%7B%5Cfrac%7B1%7D%7B5%7D%7Dy%5E%7B%5Cfrac%7B1%7D%7B10%7D%20%5Cright%29%5E4%3D4x%5E%7B%5Cfrac%7B4%7D%7B5%7D%7Dy%5E%7B%5Cfrac%7B2%7D%7B5%7D%7D)
![6)\ \ \frac{2\sqrt{9^{5}} +7\sqrt{9^{5}} }{\sqrt{9^{7}} }=1](https://tex.z-dn.net/?f=6%29%5C%20%5C%20%5Cfrac%7B2%5Csqrt%7B9%5E%7B5%7D%7D%20%2B7%5Csqrt%7B9%5E%7B5%7D%7D%20%7D%7B%5Csqrt%7B9%5E%7B7%7D%7D%20%7D%3D1)
Step-by-step explanation:
![\left( x^{8}y^{4}\right)^{\frac{1}{10} } +3\left( x^{\frac{1}{5}}y^{\frac{1}{10} \right)^4](https://tex.z-dn.net/?f=%5Cleft%28%20x%5E%7B8%7Dy%5E%7B4%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B10%7D%20%7D%20%20%2B3%5Cleft%28%20x%5E%7B%5Cfrac%7B1%7D%7B5%7D%7Dy%5E%7B%5Cfrac%7B1%7D%7B10%7D%20%5Cright%29%5E4)
![=x^{\frac{8}{10}}y^{\frac{4}{10}} +3x^{\frac{4}{5}}y^{\frac{4}{10} }](https://tex.z-dn.net/?f=%3Dx%5E%7B%5Cfrac%7B8%7D%7B10%7D%7Dy%5E%7B%5Cfrac%7B4%7D%7B10%7D%7D%20%20%2B3x%5E%7B%5Cfrac%7B4%7D%7B5%7D%7Dy%5E%7B%5Cfrac%7B4%7D%7B10%7D%20%7D)
![=x^{\frac{4}{5}}y^{\frac{2}{5}} +3x^{\frac{4}{5}}y^{\frac{2}{5} }](https://tex.z-dn.net/?f=%3Dx%5E%7B%5Cfrac%7B4%7D%7B5%7D%7Dy%5E%7B%5Cfrac%7B2%7D%7B5%7D%7D%20%20%2B3x%5E%7B%5Cfrac%7B4%7D%7B5%7D%7Dy%5E%7B%5Cfrac%7B2%7D%7B5%7D%20%7D)
![=x^{\frac{4}{5}}y^{\frac{2}{5}}\times(1+3)](https://tex.z-dn.net/?f=%3Dx%5E%7B%5Cfrac%7B4%7D%7B5%7D%7Dy%5E%7B%5Cfrac%7B2%7D%7B5%7D%7D%5Ctimes%281%2B3%29)
![=4x^{\frac{4}{5}}y^{\frac{2}{5}}](https://tex.z-dn.net/?f=%3D4x%5E%7B%5Cfrac%7B4%7D%7B5%7D%7Dy%5E%7B%5Cfrac%7B2%7D%7B5%7D%7D)
……………………………………
![\frac{2\sqrt{9^{5}} +7\sqrt{9^{5}} }{\sqrt{9^{7}} }](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Csqrt%7B9%5E%7B5%7D%7D%20%2B7%5Csqrt%7B9%5E%7B5%7D%7D%20%7D%7B%5Csqrt%7B9%5E%7B7%7D%7D%20%7D)
![=\frac{(2+7) \times\sqrt{9^{5}} }{\sqrt{9^{2}} \times \sqrt{9^{5}} }](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%282%2B7%29%20%5Ctimes%5Csqrt%7B9%5E%7B5%7D%7D%20%7D%7B%5Csqrt%7B9%5E%7B2%7D%7D%20%5Ctimes%20%5Csqrt%7B9%5E%7B5%7D%7D%20%7D)
![=\frac{9 \times\sqrt{9^{5}} }{9 \times \sqrt{9^{5}} }](https://tex.z-dn.net/?f=%3D%5Cfrac%7B9%20%5Ctimes%5Csqrt%7B9%5E%7B5%7D%7D%20%7D%7B9%20%5Ctimes%20%5Csqrt%7B9%5E%7B5%7D%7D%20%7D)
![=1](https://tex.z-dn.net/?f=%3D1)