Answer:
there is no figure
Step-by-step explanation:
attach a photo first
Answer:150
Step-by-step explanation:50 + 100=150 150 - 300=150
Answer:
x>7
-6x+14< -28
-14. -14
-6x<-42
÷-6 ÷-6
x<7
switch signs because we divided by a negative number
x>7
Answer: x<-1
3x+28<25
-28 -28
3x<-3
÷3 ÷3
x<-1
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
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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
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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.
