A train is going on a journey. First it travels east for 50 kilometers then it turns north and travels for 22 kilometers. Next i
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3 in the power of ten means "10^3."
How to solve exponents is to multiply the number as many times as it's exponent. So in this case you will have to multiply ten, three times.
Which would mean that....
The answer is 10^3.
Hope this helps.
The volume of a box is the amount of space in the box
The dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
<h3>How to determine the dimensions that minimize the cost</h3>The dimensions of the box are:
Width = x
Depth = y
So, the volume (V) is:
The volume is given as 64 cubic inches.
So, we have:
Make y the subject
The surface area of the box is calculated as:
The cost is:
--- the base is twice as expensive as the sides
Substitute
Differentiate
Set to 0
Multiply through by x^2
Divide through by 4
Add 64 to both sides
Take the cube roots of both sides
Recall that:
So, we have:
Hence, the dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
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