Answer:
g(x) is greater
Step-by-step explanation:
it is greater because when mulitplying the function g and x you get a higher number than you would with f(x)
hope that helps!!
Answer:
28 pages in 1 day
Step-by-step explanation
you have to find the unit rate of pages to days, the number of days must be 1.
to find the amount of pages, you find 924/33, which equals 28.
a = 28
b = 1
Answer:
∠6 = ∠8
∠2 = ∠6
Step-by-step explanation:
Lines 'p' and 'q' are the parallel lines and line 'l' is a transversal line intersecting these lines at two distinct points.
By the property of alternate interior angles,
∠3 = ∠5
By the property of vertically opposite angles,
∠6 = ∠8
By the property of corresponding angles,
∠2 = ∠6
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.
If we rearrange the given data set from lowest to highest, we have
The minimum is 3.
The first quartile is the average of 6 and 7, which is 6.5
The median is the average of 8 and 10 which is 9.
The third quartile is the average of 12 and 15 which is 13.5.
The maximum is 18.
