Answer:
10,995.6 ft^3.
2300.3 gallons.
(both to the nearest tenth).
Step-by-step explanation:
Area of the surface of the river = area of the outer circle - area of the inner circle.
Radius of the outer circle = 30 *3 = 90 feet.
So the surface area of the river = π(90)^2 - π(85)^2
= 875π ft^2
Also the volume of the river = surface area * depth = 875π*4 = 3500π ft^3
= 10,995.6 ft^3.
Number of gallons of water it will hold = 10,995.6 / 4.78
= 2300.3 gallons.
7 I think, I’m sorry if I’m wrong
Answer:
![\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdisplaystyle%20%5Csqrt%5B3%5D%7Bx%5E%7B-%5Ctfrac%2035%7D%7D%5Cright%29%5E%7B%5Ctfrac%2058%7D)
Step-by-step explanation:
![\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24} \right}\\\\\\=x^{\displaystyle -\tfrac 18 }\\\\\\=\dfrac 1{x^{\tfrac 18}}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdisplaystyle%20%5Csqrt%5B3%5D%7Bx%5E%7B-%5Ctfrac%2035%7D%7D%5Cright%29%5E%7B%5Ctfrac%2058%7D%5C%5C%5C%5C%5C%5C%3D%5Cleft%5B%20%5Cleft%28%5Cdisplaystyle%20x%5E%7B-%5Ctfrac%2035%7D%20%5Cright%29%5E%7B%5Ctfrac%2013%20%5Cright%5D%5E%7B%5Ctfrac%2058%7D%5C%5C%5C%5C%5C%5C%3D%5Cleft%28%20%5Cdisplaystyle%20x%5E%7B-%5Ctfrac%2035%7D%5Cright%29%5E%7B%5Ctfrac%205%7B24%7D%7D%5C%5C%5C%5C%5C%5C%3Dx%5E%7B%20%5Cdisplaystyle%20-%5Ctfrac%7B3%7D%7B24%7D%20%20%5Cright%7D%5C%5C%5C%5C%5C%5C%3Dx%5E%7B%5Cdisplaystyle%20-%5Ctfrac%2018%20%20%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%201%7Bx%5E%7B%5Ctfrac%2018%7D%7D)
Answer:
Exact Form: z = 0, -2/25
Decimal Form: 0, -0.08
Step-by-step explanation:
I used cymath.com. I highly recommend it. It shows you the steps to the problem you want to solve!
I hope this helps! :)
The last step is to solve for z