Answer:
The volume of the water in the fishbowl is equal to
or ![2,144.6\ in^{3}](https://tex.z-dn.net/?f=2%2C144.6%5C%20in%5E%7B3%7D)
Step-by-step explanation:
we know that
The volume of the sphere (a fishbowl) is equal to
![V=\frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
In this problem we have
----> the radius is half the diameter
substitute
![V=\frac{4}{3}\pi (8^{3})=\frac{2,048}{3}\pi\ in^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%288%5E%7B3%7D%29%3D%5Cfrac%7B2%2C048%7D%7B3%7D%5Cpi%5C%20in%5E%7B3%7D)
convert to mixed number
![\frac{2,048}{3}\pi\ in^{3}=\pi (\frac{2,046}{3}+\frac{2}{3})=(682\frac{2}{3})\pi\ in^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2C048%7D%7B3%7D%5Cpi%5C%20in%5E%7B3%7D%3D%5Cpi%20%28%5Cfrac%7B2%2C046%7D%7B3%7D%2B%5Cfrac%7B2%7D%7B3%7D%29%3D%28682%5Cfrac%7B2%7D%7B3%7D%29%5Cpi%5C%20in%5E%7B3%7D)
![(3.14156)*(682\frac{2}{3})=2,144.6\ in^{3}](https://tex.z-dn.net/?f=%283.14156%29%2A%28682%5Cfrac%7B2%7D%7B3%7D%29%3D2%2C144.6%5C%20in%5E%7B3%7D)
Answer:
The answer to your question is the second choice
Step-by-step explanation:
4x/ (x - 7) - (x +7) / x
- Find the greatest common factor from x and (x - 7)
GCF = x(x - 7)
- Substract the terms
[4x(x) - (x + 7)(x - 7)] / x(x - 7)
- Simplify
[ 4x² - x² + 49] / x(x - 7)
[ 3x² + 49] / x(x - 7)
- Result
3x² + 49 / x(x - 7)
B -13 -34i
(7 + 2i)(-3 - 4i)
Take the 7 then times it buy the second bracket 7x(-3-4i) then take 2i from the first bracket and times it with the second bracket 2ix (-3-4i)
Then keep simplifying