The temperature was -12 degrees
Answer:
25 minute
Step-by-step explanation:
Speed is the ratio of the total distance traveled to the total time taken to reach this distance. The formula for speed is:
Speed = total distance / total time taken
The total distance covered by the sloth = 60 ft, and the time taken = 5 minutes, hence:
Speed = total distance / total time taken
speed of the sloth = 60 ft / 5 minutes = 12 ft per minute.
We can calculate the time taken for the sloth to travel the length of the football field (i.e. 300 ft)
speed = distance / time
12 ft/minute = 300 ft / time
time = 300 ft / (12 ft/minute)
time = 25 minute
Answer:
Double a number increased by half the same number
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
