Answer:
Radius of the sphere is 5m.
Step-by-step explanation:
We have given the volume of sphere ![\frac{500}{3}\cdot {\pi}m^3](https://tex.z-dn.net/?f=%5Cfrac%7B500%7D%7B3%7D%5Ccdot%20%7B%5Cpi%7Dm%5E3)
we have to find the radius of the sphere
![\text{volume of sphere is }=\frac{4}{3}\cdot {\pi}\cdot r^3](https://tex.z-dn.net/?f=%5Ctext%7Bvolume%20of%20sphere%20is%20%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Ccdot%20%7B%5Cpi%7D%5Ccdot%20r%5E3)
On substituting the given value of volume of sphere we get
![\frac{500}{3}\cdot {\pi}=\frac{4}{3}\cdot {\pi}\cdot r^3](https://tex.z-dn.net/?f=%5Cfrac%7B500%7D%7B3%7D%5Ccdot%20%7B%5Cpi%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Ccdot%20%7B%5Cpi%7D%5Ccdot%20r%5E3)
After simplification we get:
![\Rightarrow 4\cdot r^3=500](https://tex.z-dn.net/?f=%5CRightarrow%204%5Ccdot%20r%5E3%3D500)
![\Rightarrow r^3=125](https://tex.z-dn.net/?f=%5CRightarrow%20r%5E3%3D125)
![\Rightarrow r=5](https://tex.z-dn.net/?f=%5CRightarrow%20r%3D5)
Hence, the radius of sphere is 5m
Answer:
f(x)^-1 = x - 4
D: {x is all real numbers}
Step-by-step explanation:
change f(x) to y
switch x with y and vice versa
solve for y
Answer:
j(x) = 5 |x+9|-23
Step-by-step explanation:
f(x) = |x|
translate left 9 units
y = f(x + C) C > 0 moves it left
g(x) = |x+9|
translate down 23 units
y = f(x) + C C < 0 moves it down
h(x)= |x+9|-23
stretch by a factor of 5
y = Cf(x) C > 1 stretches it in the y-direction
j(x) = 5 |x+9|-23
The answer with Be B good choice
0-5 because 25th percentile can also be known as the 1st quartile or the first 25% of it. so since the medium is 8 then it would be the first interval or 0-5.
if i am wrong please let me know.