Let U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A={1, 2, 3, 4, 5}, B={1, 3, 5, 7} Find A' ∩ B
sineoko [7]
Here given that:
- U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
- A = {1, 2, 3, 4, 5}
- B = {1, 3, 5, 7}
Here let's first find the set A' , by using formula:
→ A' = U - A
→ A' = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - {1, 2, 3, 4, 5}
→ A' = {6, 7, 8, 9, 10}
Now A' ∩ B is the set of all common elements of A' and B as
→ A' ∩ B = {6, 7, 8, 9, 10} ∩ {1, 3, 5, 7}
→ A' ∩ B = {7}
<em>Hence, </em>A' ∩ B <em> is a singleton set</em>
Answer:
∑ₙ₌₁⁸ (3n − 9)
Step-by-step explanation:
This is an arithmetic series where the first term is -6 and the common difference is 3. The nth term can be written as:
aₙ = a₁ + d (n − 1)
aₙ = -6 + 3 (n − 1)
There are 8 terms in this series, so the sum is:
∑ₙ₌₁⁸ [-6 + 3 (n − 1)]
Simplified:
∑ₙ₌₁⁸ (3n − 9)
The correct answer is option A. Which is the solution of the given equation will be (15,15).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are solved as:-
a - 1.2b = -3 or a = -3 + 1.2b
0.2a + 0.6b = 12
Put the value of a from equation 1 to the equation second.
0.2 ( -3 + 1.2 b) + 0.6b = 12
-0.6 + 0.24b + 0.6b = 12
0.84b = 12 + 0.6
0.84 b = 12.06
b = 15
Put the value of b in the first equation to find the value of a.
a = 1.2b - 3
a = (1.2 x 15) - 3
a = 15
Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).
To know more about equations follow
brainly.com/question/2972832
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Answer:
2.0 and 4.8
Step-by-step explanation:
each 5 is adding 0.4 and each 10 is adding 0.8. if you take the 20 and the number 1.6, multiply those by 3, and you will get 4.8 for the slot 60. for the slot 25, just add 0.4 to 1.6. hope this helped :)
I believe Tom needs 20 posts, and the dimensions of the fence are 42’ length, by 18’ width. If you’re looking for the area it’s 756 ft sq.