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Answer:
{-1/8, 1/8}
Step-by-step explanation:
Solve |a|-3/4=-5/8 for |a|: Add 3/4 to both sides of this equation, obtaining:
|a| - 6/8 + 6/8 = -5/8 + 6/8, or |a| = 1/8. This absolute value function has two components:
a = 1/8 and a = -1/8.
Answer:
An encroachment.
Step-by-step explanation:
In real estate,encroachment is building a structure between the boundaries of your property or land and your neighbor's property or land.
The retaining wall Fred build that was 2ft outside his property line is called encroachment
Step-by-step explanation:
equation.
2(m+10)=4(m−15)
(2)(m)+(2)(10)=(4)(m)+(4)(−15)(Distribute)
2m+20=4m+−60
2m+20=4m−60
Step 2: Subtract 4m from both sides.
2m+20−4m=4m−60−4m
−2m+20=−60
Step 3: Subtract 20 from both sides.
−2m+20−20=−60−20
−2m=−80
Step 4: Divide both sides by -2.
−2m−/2=−80/−2
m=40
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.
