Answer:
it should be A if not I'm so so sry
650 to the nearest 100
And anything above 650 to the nearest 100 might be reading the question wrong sorry
Answer:
The water level rising when the water is 4 inches deep is
.
Step-by-step explanation:
Rate of water pouring out in the cone = R=![\frac{3}{2} inch^3/s](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20inch%5E3%2Fs)
Height of the cup = h = 6 inches
Radius of the cup = r = 3 inches
![\frac{r}{h}=\frac{3 inch}{6 inch}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7Bh%7D%3D%5Cfrac%7B3%20inch%7D%7B6%20inch%7D%3D%5Cfrac%7B1%7D%7B2%7D)
r = h/2
Volume of the cone = ![V=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
![V=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
![\frac{dV}{dt}=\frac{d(\frac{1}{3}\pi r^2h)}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7Bd%28%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h%29%7D%7Bdt%7D)
![\frac{dV}{dt}=\frac{d(\frac{1}{3}\pi (\frac{h}{2})^2h)}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7Bd%28%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%28%5Cfrac%7Bh%7D%7B2%7D%29%5E2h%29%7D%7Bdt%7D)
![\frac{dV}{dt}=\frac{1}{3\times 4}\pi \times \frac{d(h^3)}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B3%5Ctimes%204%7D%5Cpi%20%5Ctimes%20%5Cfrac%7Bd%28h%5E3%29%7D%7Bdt%7D)
![\frac{dV}{dt}=\frac{1\pi }{12}\times 3h^2\times \frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%5Cpi%20%7D%7B12%7D%5Ctimes%203h%5E2%5Ctimes%20%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{3}{2} inch^3/s=\frac{1\pi }{12}\times 3h^2\times \frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20inch%5E3%2Fs%3D%5Cfrac%7B1%5Cpi%20%7D%7B12%7D%5Ctimes%203h%5E2%5Ctimes%20%5Cfrac%7Bdh%7D%7Bdt%7D)
h = 4 inches
![\frac{3}{2} inch^3/s=\frac{1\pi }{12}\times 3\times (4inches )^2\times \frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20inch%5E3%2Fs%3D%5Cfrac%7B1%5Cpi%20%7D%7B12%7D%5Ctimes%203%5Ctimes%20%284inches%20%29%5E2%5Ctimes%20%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{3}{2} inch^3/s=\pi\times 4\times \frac{dh}{dt} inches^2](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20inch%5E3%2Fs%3D%5Cpi%5Ctimes%204%5Ctimes%20%5Cfrac%7Bdh%7D%7Bdt%7D%20inches%5E2)
![\frac{dh}{dt}=\frac{3}{8\times \pi} inch/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B3%7D%7B8%5Ctimes%20%5Cpi%7D%20inch%2Fs)
The water level rising when the water is 4 inches deep is
.
Answer:
D
Step-by-step explanation:
f(x ) =
inverse ----> f(x) = y = x
x =
- 1
![y^{2} = x + 1](https://tex.z-dn.net/?f=y%5E%7B2%7D%20%20%3D%20x%20%2B%201)
y = ± ![\sqrt{x + 1}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%20%2B%201%7D)
Okay so this is how I would figure this out:
John + John's Wife
1 son + 1 son } 2 sons
2 sons + 2 sisters } sons have 2 sisters
there are 6 people total in their family:
1. John
2. John's wife
3. 1 son
4. 2 son
5. 1 daughter
6. 2 daughter
There are 6 members total.
Hope this helped! :)