Answer:
w = w L = 2w h = h
Volume: V = Lwh
10 = (2w)(w)(h)
10 = 2hw^2
h = 5/w^2
Cost: C(w) = 10(Lw) + 2[6(hw)] + 2[6(hL)])
= 10(2w^2) + 2(6(hw)) + 2(6(h)(2w)
= 20w^2 + 2[6w(5/w^2)] + 2[12w(5/w^2)]
= 20w^2 + 60/w + 120/w
= 20 w^2 + 180w^(-1)
C'(w) = 40w - 180w^(-2)
Critical numbers:
(40w^3 - 180)/w^2 = 0
40w^3 -180 = 0
40w^3 = 180
w^3 = 9/2
w = 1.65 m
L = 3.30 m
h = 1.84 m
Cost: C = 10(Lw) + 2[6(hw)] + 2[6(hL)])
= 10(3.30)(1.65) + 2[6(1.84)(1.65)] + 2[6(1.84)(3.30)])
= $165.75 cheapest cost
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
let other fraction be x
x+1/3=8/9
x=8/9-1/3
x=(8-1*3)/9
x=(8-3)/9
x=5/9
Answer:
C
Step-by-step explanation:
Given that (x + 8) is a factor of f(x), then x = - 8 is a root and thus
f(- 8) = 0
6 out of 10 people dies from a disease. If there are 1,000,000 people in Australia, how many people in Australia die from disease?
Answer:
It would take 5.5 months for the two cable companies to cost the same.
Step-by-step explanation:
50x + 100 = 60x + 45
-45 -45
50x + 55 = 60x
-50x -50x
55 = 10x
/10 /10
x = 5.5