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
Andy runs 7 meters per second.
436.8/62.08 = x/1
436.8/62.08=7.04
7.04/1 =7.0/1
Hope that help!:)
Y=2,137.00-(15.15*X)+(33.09*X)
Its simple arithmetic when you get down to it. The $2,137 won't change because it is the base rate per month, meaning even if they don't make any units they will still earn that much in the month. You subtract from that the cost to make a unit, in this case it is $15.15 per unit, so you multiply the cost by number of units to get the month's total costs. Then add the total month's profits by multiplying the number of units by the profits of one unit.
Starting price is : $248.50Price with 25% off :$248.50 x ( 1 - 0.25 ) = $248.50 x 0.75 = $186.375After that she has to pay 5 % sales tax:$186.375 x 1.05 = $195.70Answer: $195.70
Answer:
Step-by-step explanation:
hello :
The east edge cannot intersect with the west edge so :
the west edge and The east edge are paralal same slope but the slope for the line y = 2x + 5 is : 2
so : the line could the east edge be located is : y= 2x+b b : no 5
