<span>1 and 2. Taneisha can send as few as 0 texts, or n>=0.
3 and 4. Taneisha can send as many as 300 texts in a month, or n<=300.
5. In this case, n>=0 and n<=300.
6. Putting these in compound form to make them one statement gives 0 <= n <= 300.</span>
The slope is 42 in the equation
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.
They will appear as parallel lines
No one is going to do your test or homework. I will only do one.
Neptune:
4, 495, 000,000 = 4.495 x 10^9
