<h3>
Answer: 6</h3>
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Explanation:
Rule: If a set has n elements in it, then it will have 2^n subsets.
For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.
- {a,b,c} .... any set is a subset of itself
- {a,b}
- {a,c}
- {b,c}
- {a}
- {b}
- {c}
- { } ..... the empty set
Subsets 2 through 4 are subsets with exactly 2 elements. Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol
to indicate the empty set.
For more information, check out concepts relating to the power set.
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The problem is asking what value of n will make 2^n = 64 true.
You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.
Another approach is to follow these steps.

Which is fairly trivial.
Or you can use logarithms to solve for the exponent.

Due to rounding error, we don't land exactly on 6 even though we should.
Answer:
Step-by-step explanation:
it means that
125-30 < u < 125+30 so
95 < u < 155
it gives ![]95,155[](https://tex.z-dn.net/?f=%5D95%2C155%5B)
Answer:
he is currently 34
Step-by-step explanation:
x + 6 = 5(x-26)
x + 6 = 5x - 130
+130 +130
x + 136 = 5x
-x -x
136 = 4x
/4 /4
x = 34
You can check your work as well:
34 + 6 = 40
34 - 26 = 8
8 x 5 = 40