Answer:
x=7
Step-by-step explanation:
x+4=4x-17
4=3x-17
21=3x
x=7
The lowest common multiple is 216 (D)
Answer:
option-D
Step-by-step explanation:
we are given
Let's assume it is equal to 0
We can use quadratic formula
Suppose, we are given quadratic equations as
we can compare and find a,b and c
a=1 , b=2 , c=4
now, we can plug values
and we get
now, we can simplify it
and we get
i think this answer would be C that would be my choice :)
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.
