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.
Answer:
No solution
Step-by-step explanation:
-5r + 6 ≤ -5( r+2 )
-5r + 6 ≤ -5r -10
6 ≤ -10
6b(3-2)
is the answer for your question
When you solve this equation, you can plug in 2x + 10 for y, so you would have 2x + 10 = 2x +4. When you solve for x, you notice that you end up getting 10 = 4, which is impossible!
There are NO solutions for this, because 10 will never equal 4.
The slope of the first line is 2.
The slop of the second line is also 2.
The lines ARE parallel- they have the same slope!
They do not have the same y-intercept, one of them crosses at y=4, and the other crosses at y=10.
Since the lines are parallel, they will never cross, which is why there are no solutions for this equation.
Hope this helps! :)
Answer:
16 fish
Step-by-step explanation:
