Answer:
1.40
Step-by-step explanation:
I feel if you divide $14.00 by 10 you would get 1.40, so I say this should be the right answer.
I apologize if I am incorrect.
Answer:r=16 ft , d =32 ft (a)
Step-by-step explanation:
c=2 pi r
32pi= 2 x pi x r
r=32 pi/2pi
r= 16
diameter = radius x 2
d= 16 x 2
d = 32
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
Option A:
I and III only the answers.
Solution:
Let white vases be "w" and red vases be "r".
Cost of total flower = $336
Cost of each vase = $11
Total cost of the centerpieces
= Cost of (white vases + red vases) + Cost of flowers
= 11(w + r) + 336
= 11w + 11r + 336
Total cost of the centerpieces = 11w + 11r + 336 = 11(w + r) + 336
Therefore I and III only the answers.
Option A is the correct answer.
