Length times width and that will get you an answer
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:
Since the exponent of the scientific notation is positive, move the decimal point 5 places to the right. 290000
Step-by-step explanation:
Answer:
About 3.11
Step-by-step explanation:
Add the numbers and divide the value by the number of values in the data set.
6 + 3 + 5 + 2 + 2 + 3 + 3 + 1 + 3 = 28
28/9 = 3.1111...
3.111... ≈ 3.11
Hope this helps.
Answer:
$97.50 per week and $2100
Step-by-step explanation:
1. The total number of hours worked for a week is 4 + 5 + 4 which is 13. 13 hours multiplied by $7.50 per hour is $97.50 per week.
2. If $350 is 1/6 of her total monthly pay then multiply $350 by 6 to get the monthly total pay. $350 * 6 = $2100
