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:
The expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4.
Step-by-step explanation:
The x-axis label is Time in seconds, and the x-axis values are from 0 to 20 in increments of 4 for each grid line.
And the y-axis label is Number of Balls and the y-axis values from 0 to 100 in increments of 20 for each grid line.
If the ordered pairs (4,20) and (8,40) are on the graph, then the slope of the line will be represented by
Therefore, the expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4. (Answer)
Answer:
Step-by-step explanation:
start by subtracting the original value from the reduced value.
205.67-145.90=59.77
now compare the change of rate
59.77=r(205.67)
59.77/205.67=r
r=29%
Answer:
y=8x+7
Step-by-step explanation:
Use the form y=mx+b
M= the slope
B= the y-intercept
y=8x+?
Since the y coordinate of (0,7) is 7
b=7
So y=8x+7
Answer:
6
Step-by-step explanation:
((3*3-3)^2)/6
((9-3)^2)/6
6^2/6
36/6
=6
Hope this helped! :)
