Answer:
1:02
Step-by-step explanation:
There are 30 minutes in a half-hour, so add this to the time he left:
12:32 + 30 mins
= 1:02
He will need to be back at 1:02
Answer:
Let
x = number of yards mowed
The domain of the function is
5 ≤ x ≤ 20
If we multiply the inequality by 25, we get
125 ≤ 25*x ≤ 500
Which is the same as
125 ≤ f(x) ≤ 500
(Range of the function)
Domain 5 ≤ x ≤ 20
Range 125 ≤ f(x) ≤ 500
Answer:
-6
Step-by-step explanation:
<span>Generate a function for the height of the cyliner as a function of radius. Use this function to generate a function of r for the material used. Take the derivative of that function, set it to zero, and solve for r.
</span><span>V=πr2h</span>h=d h=d=2r h=2r <span>V=πr22r
</span><span>V(r,h)=180.5=πr2h⟹h=<span>180.5/<span>πr2</span></span></span><span>⟹A(r)=r(r+h)=r2+<span>180.5/<span>πr
</span></span></span><span>A(r)=2r(2r+h)=4r2+<span>361/<span>πr
</span></span></span>
<span>A′(r)=8r−<span>361/<span>π<span>r2</span></span></span></span>
