Answer:
dh/dt ≈ 0.55 ft/min
Step-by-step explanation:
The volume is given by the formula ...
V = (1/3)πr²h
We have r = h/2, so the volume as a function of height is ...
V = (1/3)π(h/2)²h = (π/12)h³
Then the rates of change are related by ...
dV/dt = (π/4)h²·dh/dt
dh/dt = (4·dV/dt)/(πh²) = 4(35 ft³/min)/(π(9 ft)²)
dh/dt ≈ 0.55 ft/min
Answer:
The answer is
<h2>( 3 , - 1)</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(2, -3) and (4, 1)
The midpoint is

We have the final answer as
<h3>( 3 , - 1)</h3>
Hope this helps you
The traveling time would be 470,588.235294km/hr
The two equations are equivalent.
The postage for 3 posters is $5.
Lois$ wrote an expression for the total they both spent as 6x + 10 6(25) +10
150 +10 = 160
Clark wrote another expression for the total, saying that it represented the same cost: 2(3x + 5). = 2(3x) + 2(5) 6x + 10 = 6(25) + 10 = 150+10 160
If each poster costs $25, do the two expressions give the same amount?