Answer:
n(B)=21.
Step-by-step explanation:
n(AUB) means the the number of elements in both A & B. And that includes the ones in common too.
n(A∩B) means the ones that in common.
n(A-B) refers to the elements that belong to A alone. That means the elements in A excluding the common elements.
n(B) is the number of elements that belong to B and that includes the common ones too.
Now coming to your question.
The total number of elements that can fit in both the sets is 36.
While the number of common elements is 16.
And also given that n(A-B)=15.
Now according to the definitions above....n(A) should include the ones that belong exclusively to A alone and also the ones in common.
So,
n(A)=n(A-B)+n(A∩B)
=15+16
=31
Therefore, n(A) is 31.
Now when n(AUB) is 36 and n(A) is 31, it is clear that the elements exclusive to B alone is 5, i.e.36-31.
Now n(B)=n(A∩B)+n(B-A)
Therefore, n(B) is 16+5 = 21.
n(B)=21.
Answer:
Step-by-step explanation:
Recall that the notation: 
is the same as: 
which means the value of the function f when you give it as input the value obtained by evaluating g(12).
Therefore, we need to start finding what g(12) is using the definition :
and evaluating it as x = 12.
So now we use this answer "2" as input for f(x):
Therefore,
Answer:
The copy machine makes 87.5 copies in one minute.
Step-by-step explanation:
Set up an equation to divide 4 into 350. This is because in order to know how many copies is being made in 1 minute, you need to determine the rate of copies per minute.
350 divided by 4 is 87.5.
Sin(x) is a function bounded between -1 and 1. A value greater than 1 or smaller than -1 (-1.1, for instance) does not correspond to any real angle.
It then returns error
