Answer:
2.92
Step-by-step explanation:
![V=\frac{4}{3}\pi r^3 \\ \\ 105=\frac{4}{3}\pi r^3 \\ \\ r^3=\frac{105}{\frac{4}{3}\pi} \\ \\ r=\sqrt[3]{\frac{105}{\frac{4}{3}\pi}} \\ \\ r \approx 2.92](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%20%5C%5C%20%5C%5C%20105%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%20%5C%5C%20%5C%5C%20r%5E3%3D%5Cfrac%7B105%7D%7B%5Cfrac%7B4%7D%7B3%7D%5Cpi%7D%20%5C%5C%20%5C%5C%20r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cfrac%7B4%7D%7B3%7D%5Cpi%7D%7D%20%20%5C%5C%20%5C%5C%20r%20%5Capprox%202.92)
The inverse of this function would be f(x) =
.
You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.
f(x) =
- 6 ----> Switch f(x) and x
x =
- 6 ----> Add 6 to both sides
x + 6 =
-----> Take the logarithm of both sides in order to get the f(x) out of the exponent
Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2
= f(x) ----> And switch the order for formatting purposes.
f(x) = ![\frac{Log(x + 6)}{Log2}](https://tex.z-dn.net/?f=%20%5Cfrac%7BLog%28x%20%2B%206%29%7D%7BLog2%7D%20)
And that would be your new inverse function.
Answer: X = 5
Step-by-step explanation:
The correct formula to solve the problem is:
11x - 8 = 47
First, add 8 to each side.
11x = 55
Solve it by dividing both sides by 11:
X = 5
Answer: The area of a sector is a fraction of the area of the circle. The fraction is equal to the ratio of the measure of the sector’s central angle to one full rotation, or 360°.
Step-by-step explanation:
Answer:14
Step-by-step explanation: minus *minus = + so its +27
and then you just do the maths 27-13=14