Answer: 105 miles?
I am not sure but that"s what I got
Step-by-step explanation:
Answer:
a = length of the base = 2.172 m
b = width of the base = 1.357 m
c = height = 4.072 m
Step-by-step explanation:
Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?
lets call a = length of the base
b = width of the base
c = height
V = a.b.c = 12
Area without the top:
Area = ab + 2bc + 2ac
Cost = 12ab + 8.2bc + 8.2ac
Cost = 12ab + 16bc + 16ac
height = 3.width
c = 3b
Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab
abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²
Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b
C(b) = 48b² + 240/b
C'(b) = 96b - 240/b²
Minimum cost: C'(b) = 0
96b - 240/b² = 0
(96b³ - 240)/b² = 0
96b³ - 240 = 0
96b³ = 240
b³ = 240/96
b³ = 2.5
b = 1.357m
c = 3b = 3*1.357 = 4.072m
a = 4/b² = 2.172m
The answer should be 10,000.
Answer:
24.6 % decrease
Step-by-step explanation:
Let x be the original temperature
Increase by 25%
x + .25x
1.25x
Decrease by 40%
The amount decreased is
(1.25x) *.40
.496x
Subtract that from 1.25x
1.25x - .496x
.754x
We need to find the percent decrease
1 - .754 = .246
24.6 % decrease
The factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)
<h3>
What is a factor?</h3>
A factor is a number that completely divides another number.
In other words, since the result may be divided by the two whole numbers we are multiplying, they are factors of the result if multiplying two whole numbers produces a result.
The numbers that can divide a number exactly are called factors.
There is none left over after division as a result.
The numbers you multiply together to produce another number are called factors.
A factor is hence the division of another number.
So, we have the expression: x³-5x²-2x+24
Now, calculate the factors as follows:
x³-5x²-2x+24
We already know that: P(-2) = 0
Hence, x+2 is a factor.
Now, other factors are: x² - 7x + 12
x² + 4x + 3x + 12
(x - 3)(x - 4)
Therefore, the factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)
Know more about the factors here:
brainly.com/question/24351176
#SPJ4
Correct question:
What is the factor of x³-5x²-2x+24?
