Answer:
51.69 hours (see explanation)
Step-by-step explanation:
This question is simple once you break it down:
84 boxes in 312 hours is a rate, so it can be shown in fraction form:
84 boxes / 312 hours
Now to figure out how long it takes to unpack those 192 boxes, just multiply:
192 x 84/312
(192 x 84) / 312
16128 / 312
Now, just divide the numbers:
16128 ÷ 312 = 51.69 hours
This was my question and I don't need the answer anymore!
Answer: Choice D)
S(x) = 6x^2 - 20x
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Explanation:
x = side length of base
x*x = x^2 = area of base
The top also has an area of x^2 since the base and top are both congruent squares. The total base area is x^2+x^2 = 2x^2
The height h is 5 inches shorter than the base, so
h = (base length) - 5
h = x-5
Each lateral side is of area h*x = (x-5)*x = x^2-5x
There are 4 lateral sides
Total lateral area = 4*(area of one lateral side)
Total lateral area = 4*(x^2-5x)
Total lateral area = 4*x^2-4*5x
Total lateral area = 4*x^2-20x
Add the total lateral area (4x^2-20x) to the total base area (2x^2)
Doing so gets us
S(x) = Total Surface Area
S(x) = (Area of bases) + (area of lateral sides)
S(x) = (2x^2) + (4x^2-20x)
S(x) = (2x^2+4x^2) - 20x
S(x) = 6x^2 - 20x
which is why the answer is choice D
Option C:
![f(-3)=5](https://tex.z-dn.net/?f=f%28-3%29%3D5)
Solution:
Given function:
![f(x)=|x-2|](https://tex.z-dn.net/?f=f%28x%29%3D%7Cx-2%7C)
<u>To find f(-3):</u>
![f(x)=|x-2|](https://tex.z-dn.net/?f=f%28x%29%3D%7Cx-2%7C)
Substitute x = -3 in the function.
![f(-3)=|-3-2|](https://tex.z-dn.net/?f=f%28-3%29%3D%7C-3-2%7C)
Subtract the number -3 - 2 = -5
![f(-3)=|-5|](https://tex.z-dn.net/?f=f%28-3%29%3D%7C-5%7C)
Apply the absolute rule:
![|-a|=a](https://tex.z-dn.net/?f=%7C-a%7C%3Da)
![|-5|=5](https://tex.z-dn.net/?f=%7C-5%7C%3D5)
![f(-3)=5](https://tex.z-dn.net/?f=f%28-3%29%3D5)
Option C is the correct answer.