Answer:
20
Step-by-step explanation:
Let A, B, C and D sets.
Let |A| the number of elements of A.
Remember, the quantity of elements that have the set
is
![|A\cup B\cup C\cup D|=|A|+ |B|+ |C|+|D|-|A\cap B|-|A\cap C|-|A\cap D|-|B\cap C|-|B\cap D|-|C\cap D|-|A\cap B\cap C|-|A\cap B\cap D|-|B\cap C\cap D|-|A\cap B\cap C \cap D|](https://tex.z-dn.net/?f=%7CA%5Ccup%20B%5Ccup%20C%5Ccup%20D%7C%3D%7CA%7C%2B%20%7CB%7C%2B%20%7CC%7C%2B%7CD%7C-%7CA%5Ccap%20B%7C-%7CA%5Ccap%20C%7C-%7CA%5Ccap%20D%7C-%7CB%5Ccap%20C%7C-%7CB%5Ccap%20D%7C-%7CC%5Ccap%20D%7C-%7CA%5Ccap%20B%5Ccap%20C%7C-%7CA%5Ccap%20B%5Ccap%20D%7C-%7CB%5Ccap%20C%5Ccap%20D%7C-%7CA%5Ccap%20B%5Ccap%20C%20%5Ccap%20D%7C)
1. Since each set has 100 elements,
2. each pair of the sets shares 50 elements
3. each three of the sets share 25 elements,
4. the four sets share 5 elements
Then
![|A\cup B\cup C\cup D|=100+100+100+100-50-50-50-50-50-50-25-25-25-5=20](https://tex.z-dn.net/?f=%7CA%5Ccup%20B%5Ccup%20C%5Ccup%20D%7C%3D100%2B100%2B100%2B100-50-50-50-50-50-50-25-25-25-5%3D20)
So, there are 20 elements in the union of the sets A, B, C and D
Answer:
y=3/10;X=-7/10
Step-by-step explanation:
put y=x+1 into where you find y.
solve for X which is -7/10
and put -7/10 into the second equation and solve for y. which is also =3/10
1)There is 2 terms. 3x and 4. 2)The constant term is 4. 3)The coefficient is 3 because it is next to x. 4)+
Answer:
You use cotx = cosx/sinx.
Step-by-step explanation:
I guess you mean cotx sinx = cosx.
You substitute the identity cotx = cosx / sinx:
cotx sinx = (cosx / sin x) * sin x
The sin x ' s cancel to give cosx.
Answer:
A
Step-by-step explanation:
Associative property:
(a+b)+c=a+(b+c)
(a*b)*c=a*(b*c)