Answer:
20 elements.
Step-by-step explanation:
Lets say
n(U) = 114
n(A) = 57
n(B) = 79
n(A n B)= 42
Now,
n(A U B) = n(A) + n(B) - n(A n B)
= 57 + 79 - 42
= 94
Now,
n(A U B) compliment = n(U) - n(A U B)
= 114 - 94
= 20
Answer:
yes
Step-by-step explanation:
reddit karma
Answer:
x= 0
Step-by-step explanation:
in order to find the value of x in the 2x - 4(x + 2) = -2X-8
we are going to apply bodmas rule by first opening the bracket
we have,
2x-4x-8 = 2x -8
we proceed to collect the like terms
2x -4x-2x = -8 +8
-4x = 0
divide both sides by -4
-4x/-4 = 0/-4
x= 0
The sum of the given sequence is -6384.
<u>Step-by-step explanation:</u>
The given Arithmetic sequence is 14 + 8 + 2+ ... + ( 274) + (-280).
- The first term of the sequence = 14
- The last term of the sequence = -280
- The common difference ⇒ 14 - 8 = 6
<u>To find the number of terms in the sequence :</u>
The formula used is 
where,
- n is the number of terms.
is the late term which is -280.
is the first term which is 14.- d is the common difference which is 6.
Therefore, 
⇒ 
⇒ 
⇒ 
⇒ n = 48, since n cannot be negative.
∴ The number of terms, n = 48.
<u>To find the sum of the arithmetic progression :</u>
The formula used is 
where,
- S is the sum of the sequence.
is the first term which is 14.
is the late term which is -280.
Therefore, 
⇒ 
⇒ 
⇒ 
∴ The sum of the given sequence is -6384.