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:
B.1/2
Step-by-step explanation:
Half of the numbers on a dice are even, so you have a 1 half probability of landing on an even number
About 1.19 %
80*1.19= 95.2 Since 2 is not 5 or above it get knocks down to 95 exactly
Answer:
Hours
Step-by-step explanation:
Jake is being paid $15 an hour, not per child.
Say he has five children, three stay for one hour, two stay for two hours. If he's getting paid per hour, then he'd earn $105. But, if he gets paid per child he'd only make $75 dollars.
But since it says that he gets paid per HOUR, it would be proportional to how much money he makes.
Answer:Use this PEMDAS to solve
Step-by-step explanation:
Parethiesis,Exponent,Multiplication,Division,Addition,and Subtraction.
ALWAYS DO P FIRST!!!!
