Answer:
3
Step-by-step explanation:
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
Answer:
1/660th of a mile per second
Step-by-step explanation:
There are 5280 feet in a mile, and he is going 8 feet per second. You do 5280/8 and you get that he goes 1/660th of a mile every second.
168/7
=24•7/7
=24
The answer is 24
We have that
(x + 3)² + (y - 2)² = 36----------> (x + 3)² + (y - 2)² = 6²
we know that
the equation of a circle is of the form
(x-h)²+(y-k)²=r²
where (h,k) is the center and r is the radius
in this problem
the center of the circle is the point (-3.2) and the radius is r=6 units
so
if <span>shifting a circle right 3 units
then
the center will be-----> (-3+3,2)-------> (0,2)
therefore
the answer is the option
</span><span>B.The x-coordinate of the center of the circle increases by 3.</span>
