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 statistic for this case would be:
And replacing we got:
Step-by-step explanation:
For this case we have the following info:
represent the sample size
represent the number of employees that earn more than 50000
We want to test the following hypothesis:
Nul hyp. 
Alternative hyp : 
The statistic for this case would be:
And replacing we got:
And the p value would be given by:
Answer: Raise values of y by 4
Step-by-step explanation: Depends how a is incorporated in the parent function.
Assuming it is : y= √x + a
A will rise all the values of y by 4
There are several process for finding the HCF or Highest Common factor for any numbers given. In this case the two numbers given are 240 and 1500.
Firstly we need to divide 1500 by 240 and check if there are any remainders. On dividing we get quotient is 6 and remainder is 60. Now again we have to divide 240 by 60 which we found as remainder previously. Then on dividing 240 by 60 we get no remainder. So the 60 is the HCF or the Highest Common Factor of 240 and 1500. This is the easiest process by which the HCF of any set of numbers can be found.
Remember you can do anything to an equaiton as long as you do it to both sides
-6g+36=12
minus 36 both sides
-6g=-24
diide -6
remember(-)/(-)=(+)
g=4
