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kirill115 [55]
3 years ago
7

14. Set A contains all integers from 50 to 100, inclusive, and Set B contains all integers from 69 to 138, exclusive. How many i

ntegers are included in both Set A and Set B?
E. 29
F. 30
G. 31
H. 32​
Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

30

Step-by-step explanation:

We have to make the intersection between these sets, and we see that they intersect in the range: [70,100], and d(70,100) = 30, that is the answer.

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PLEASE HELP ILL GIVE BRAINLIEST
dusya [7]

1)

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3)

let's recall that the conjugate of any pair a + b is simply the same pair with a different sign, namely a - b and the reverse is also true, let's also recall that i² = -1.

\cfrac{6-7i}{1-2i}\implies \stackrel{\textit{multiplying both sides by the denominator's conjugate}}{\cfrac{6-7i}{1-2i}\cdot \cfrac{1+2i}{1+2i}\implies \cfrac{(6-7i)(1+2i)}{\underset{\textit{difference of squares}}{(1-2i)(1+2i)}}} \\\\\\ \cfrac{(6-7i)(1+2i)}{1^2-(2i)^2}\implies \cfrac{6-12i-7i-14i^2}{1-(2^2i^2)}\implies \cfrac{6-19i-14(-1)}{1-[4(-1)]} \\\\\\ \cfrac{6-19i+14}{1-(-4)}\implies \cfrac{20-19i}{1+4}\implies \cfrac{20-19i}{5}\implies \cfrac{20}{5}-\cfrac{19i}{5}\implies 4-\cfrac{19i}{5}

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3 years ago
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