Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :
where;
a = 12; b = -144 and c = 299
Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
Part e because I did it and got it right on the test txt me if u need help
It’s the first one.The one with a negative 2
Answer:
No, they don't.
Step-by-step explanation:
I'm going to divide 18 by 9 and 30 by 20. If the quotients are the same, then we do have a proportion.
18 ÷ 9 = 2
30 ÷ 20 = 1.5
The quotients aren't the same. Same thing if you convert the fractions to decimals:
9 ÷ 20 = 0.45
18 ÷ 30 = 0.6
This means the two values do NOT form a proportion.
Hope this helps! Have a great day!
9514 1404 393
Answer:
22%
Step-by-step explanation:
If Denver gets 2/19 of the food, then Engle and Fido share the remaining 17/19 of the food.
If Engle and Fido share their food in the ratio of 6:2, then Fido's share is 2/(6+2) = 2/8 = 1/4 of the portion they have.
Fido's share of all the food is then (1/4)(17/19) = 17/76.
As a percentage of the whole, that is ...
17/76 × 100% ≈ 22%
