Question 195736: These are problemsusing expotential equations. Any help you could offer would be greatly appreciated because I am struggling with these. Thank you.
1. The volume of a cubical bin is 27 cubic feet. What are the length, width, and height?
2. The formual for nth term b of a geo series is b=ar to the n-1
Find n when b=1024 a=16 4-2
3. If a set has three elements, how many subsets does it have?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 1)
The volume of a cube is simply equal to the side length cubed. So take the cube root of 27 to get 3. So the width, length, and height are 3 feet.
Note: all sides of a cube are equal.
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2)
I'm not sure what you mean by a=16 4-2 ???
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3)
To find the number of subsets of any set, simply raise the number of elements of that set as a power of 2 like so:
So there are 8 subsets
Proof:
Here are the 8 subsets of set {a,b,c}
{a,b,c},
{a,b}, {a,c}, {b,c}
{a}, {b}, {c}
{}
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