Answer:
Therefore the rate change of height is 
m/s.
Step-by-step explanation:
Given that a vertical cylinder is leaking water at rate of 4 m³/s.
It means the rate change of volume is 4 m³/s.
The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.
The height of the cylinder be h(say).
The volume of a cylinder is 
Differentiating with respect to t.
Putting the value 
The rate change of height does not depend on the height.
Therefore the rate change of height is m/s.
First, solve the bracket:
(-3)^2 = (-3)(-3) = 9
Next, simplify
[9]^5 = 9 x 9 x 9 x 9 x 9 = 59049
59049 is your answer
hope this helps
X=2
Explanation:
2x+14=18
-14 -14
2x=4
Divide 2 with 4 which makes the 2 with the x cancel out. The two 14s cancel out by the way.
So 4 divided by 2 equals 2.
Answer:
Triangle = 5
Circle = 25
Square = 100
Pentagon = 1600
Rectangle = 155
Step-by-step explanation:
6 x triangle = 3 x 10
Solve for 3 x 10
6 x triangle = 30
Divide both sides by 6
Triangle = 5
•••••••••••••••••••••••••••••••
Triangle x 20 = Circle x 4
Substitute triangle for 5
5 x 20 = Circle x 4
Solve for 5 x 20
100 = Circle x 4
Circle = 100 divided by 4
Circle = 25
•••••••••••••••••••••••••••••••
Circle + triangle = square minus 70
Substitute Circle and Triangle for their values
25 + 5 = square - 70
Solve for 25 + 5
30 = square - 70
Add 70 to both sides
square = 100
•••••••••••••••••••••••••••••••
Square x 8 = 1/2 of pentagon
Substitute square for 100
100 x 8 = 1/2 of pentagon
Solve for 100 x 8
800 = 1/2 of pentagon
Pentagon = 1600
•••••••••••••••••••••••••••••••
Pentagon divided by square = rectangle + 5
Substitute pentagon and square for their values
1600 divided by 100 = rectangle + 5
Solve for 1600 divided by 100
160 = rectangle + 5
Subtract 5 from both sides
Rectangle = 155
••••••••••••••••••••••••••••••••••
Rectangle x rectangle = ?
Rectangle = 155
Rectangle x rectangle = 24025
••••••••••••••••••••••••••••••••••
56.7 because you multiply 8.10 by 7
