Answer:
Dimensions to minimize surface are is 28 ft x 28 ft x 14 ft
Step-by-step explanation:
The Volume of a box with a square base of say;x cm by x cm and height
h cm is;
V = x²h
Now, the amount of material used is directly proportional to the surface area, hence we will minimize the amount of material by minimizing the surface area.
The formula for the surface area of the box described is given by;
A = x² + 4xh
However, we need A as a function of
only x, so we'll use the formula;
V = x²h
V = x²h = 10,976 ft³
So,
h = 10976/x²
So,
A = x² + 4x(10976/x²)
A = x² + 43904/x
So, to minimize the area, it will be at dA/dx = 0.
So,
dA/dx = 2x - 43904/x² = 0
Factorizing out, we have;
2x³ = 43904
x³ = 43904/2
x³ = 21952
x = ∛21952
x = 28 ft
since, h = 10976/x²
h = 10976/28² = 14 ft
Thus,dimension to minimize surface are is 28 ft x 28 ft x 14 ft
Answer:
24w - 21
Step-by-step explanation:
-8(2 - 3w) - 5
We first expand the -8
-16 + 24w - 5
We then add -16 to -5
-16 + -5
= -21
We get the 24w, put in in the equation and get 24w - 21
Answer:
Probability = 0.23
Step-by-step explanation:
Probability of picking it choosen those at random without replacement =Pr(ace) + Pr(spade)+Pr(a four)
Probability = 4/52 + 4/52 + 4/52
Probability= 3(4/52)
Probability = 0.23
The difference between five times the number and four is one
Subtracting four from five times a number will result you to one
