Answer:
f(0) = 31
Step-by-step explanation:
We are given the following function:
![f(x) = \sqrt{7x} + 31](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7B7x%7D%20%2B%2031)
f(0).
This is the value of f when
. So
![f(0) = \sqrt{7*0} + 31 = \sqrt{0} + 31 = 0 + 31 = 31](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Csqrt%7B7%2A0%7D%20%2B%2031%20%3D%20%5Csqrt%7B0%7D%20%2B%2031%20%3D%200%20%2B%2031%20%3D%2031)
So f(0) = 31
A= l x b
70 = 14b
divide both sides by 14
b= 5
Answer:
![\huge\boxed{V=64cm^3}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7BV%3D64cm%5E3%7D)
Step-by-step explanation:
The formula of a surface area of a cube:
![SA=6a^2](https://tex.z-dn.net/?f=SA%3D6a%5E2)
The formula of a volume of a cube:
![V=a^3](https://tex.z-dn.net/?f=V%3Da%5E3)
We have
![SA=96cm^2](https://tex.z-dn.net/?f=SA%3D96cm%5E2)
Calculate the edge length (<em>a</em>).
<em>divide both sides by 6</em>
![a^2=16\to a=\sqrt{16}\\\\a=4(cm)](https://tex.z-dn.net/?f=a%5E2%3D16%5Cto%20a%3D%5Csqrt%7B16%7D%5C%5C%5C%5Ca%3D4%28cm%29)
Calculate the volume of a cube:
![V=4^3=64(cm^3)](https://tex.z-dn.net/?f=V%3D4%5E3%3D64%28cm%5E3%29)
Hello from MrBillDoesMath!
Answer:
Take you pick below! (either x 8 or x = 7.01, approx, depending how the question is interpreted)
Discussion:
Interpretation 1
If the question is
2^(x -1) = 128, then as 2^7 = 128,
x-1 = 7 so x = 8
Interpretation 2
If the question is (2^x -1) = 128, then..
2^x = 128 + 1 = 129 =>
log(2^x) = log(129) =>
xlog(2) = log(129) =>
x = log (129) / log2 = 7.01
Regards,
MrB
U=mgh ⇒h=U/mg
Answer: h=U/mg