Answer:
The radius is 4.097396898
Step-by-step explanation:
A hemisphere is 1/2 of a sphere so the volume is 1/2 of the volume
V = 1/2 ( 4/3 pi r^3)
= 2/3 pi r^3
144 = 2/3 pi r^3
Multiply each side by 3/2
3/2 *144 = 3/2 * 2/3 pi r^3
216 = pi r^3
Divide each side by pi
216/ pi = pi r^3/pi
68.78980892 = r^3
Take the cube root of each side
(68.78980892 )^1/3= (r^3)^1/3
4.097396898 = r
The radius is 4.097396898
Answer:
Step-by-step explanation:
1. true
2. true
3. false ( pie chart )
4. true
5. false ( y axis )
6. true
7. true
Hope this helps
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Answer:
A ( -2 , 9 )
Step-by-step explanation:
<u>Idea:</u> You find the first derivative of f(x), and then set it equal to the desired slope. You'll find some x. That we will use to find the point.
f'(x) = 3x^2 + 12x + 20
f'(x) = 8
3x^2 + 12x + 20 = 8
3x^2 + 12x + 12 = 0
3 ( x^2 + 4x + 4 ) = 0
3 ( x + 2 )^2 = 0
x + 2 = 0
x = -2
So, the desired point is:
A ( -2, f(-2) ) --> A ( -2 , 9 )
Answer:
n =2
Step-by-step explanation:
2=-9n+22-n
2 = -10n +22
-20 = -10n
n = 2
