This is impossible to answer without knowing what the sets A and B contain (and what ξ even refers to - universal set?).
However, we have
(A U B)' = A' ∩ B'
so that
(A ∩ B) U (A U B)' = (A ∩ B) U (A' ∩ B') = (A U A') ∩ (B U B')
If ξ is indeed the universal set, then both A U A' = ξ and B U B' = ξ, so we end up with ξ ∩ ξ = ξ.
$72 - $30 = $42
It increased $42.
Now take this number and divide by the original number (first):
42 ÷ 30
This is 1.4, let's convert this to a percentage.
We now times it by 100
1.4 × 100
The answer is 140%
It depends if the 12 spice jars are all different.
If they are:
_ _ _ _ _ _ _ _ _ (9 spaces)
12*11*10*9*8*7*6*5*4
12 possibilities for first one, 11 for second, etc...
Multiply out to get:
79833600
Answer: x = 15
Step-by-step explanation:
Vertical angles are equal so we can set 47 = 3x + 2
Now just solve the equation for x
47 = 3x + 2
Subtract 2 from each side
45 = 3x
Divide both sides by 3
15 = x
Answer:
10
Step-by-step explanation:
f(x) =3x-x=2x,
f(7-2)=f(5)= 2*5=10