Yes. It is equivalent to 3. Combine like terms
<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:
The multiple zero is .
The multiplicity is 2
Step-by-step explanation:
The given function is
To find the zero of this function, we equate it to zero.
We factor to obtain;
Observe that; the expression within the parenthesis is a perfect square.
This implies that;
This implies that;
Either or
has a multiple zero which is
and its multplicity is 2.
Answer:
292.5 miles per day
Step-by-step explanation:
The map shows it is 1170 miles from my school to Wall, South Dakota, a place well-advertised in the Midwest. If I want to take 4 days to get there, the required division is ...
... (1170 mi)/(4 da) = 292.5 mi/da