Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
=============================================
Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
--------
Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
6 yards first they minused 3 then they added 3 so the overall is 6 3+3=6
pls give brainliest
Answer:
The volume of the water in the pool is 1,017 cubic feet
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
we have
----> the radius is half the diameter
Remember that
so
To find out the height of the water, subtract 0.5 feet from the height of the swimming pool
assume
Find the volume of the water
Given: 5x – 4 + 13x = 5
Combine like terms in the given expression.
⇒ (5x + 13x) – 4 = 5
⇒ 18x – 4 = 5
By addition property of equality, add 4 on both sides to equal to the expression.
⇒ 18x – 4 + 4 = 5 + 4
⇒ 18x = 9
By division property of equality, divide 18 on both sides to equal the expression.
⇒ 
By symmetric property of equality, both sides are equal
⇒ 
Hence, .
Step-by-step explanation:
Quick Tip - Plug the pure number inside the parenthesis into all x of the function given.
f(2) = 2^2 - 3×2 + 2 = 4 - 6 + 2 = 0
f(5) = 5^2 - 3×5 + 2 = 25 - 15 + 2 = 12
g(3) = 3^2 + 2×3 - 5 = 10.
