We have
M(X) = (X + 5)/(X - 1)
N(X) = X - 3
So,
M(N(X)) = [(X - 3) + 5]/[(X - 3) - 1]
<h3>M(N(X)) = [X + 2]/[X - 4]</h3>
The M(N(X)) domain will be:
D = {X / X ≠ 4}
4 ∉ to the M(N(X)) domain, otherwise we would have a/0, which is not possible (a denominator with zero). An equivalent function would be
H(X) = 1/(X - 4)
I made a probability tree. Pls. see attachment.
Based on the probability tree I made, below are the probabilities
Probability of a student accepted at both Dartmouth and Harvard is:
50% x 40% = 20%
Probability of a student accepted at Dartmouth but not Harvard is:
50% x 60% = 30%
Probability of a student not accepted at Dartmouth but accepted in Harvard is:
50% x 20% = 10%
Probability of a student not accepted in both schools is:
50% x 80% = 40%
As you can see, these probabilities total 100%
Write tan in terms of sin and cos.

Recall that

Rewrite and expand the given limand as the product

Then using the known limit above, it follows that

The closest answer is 95 square inches. Here is why. You can find the area of the rectangle by multiplying the length by the width. This would be 15 x 5 = 75 square inches. The area of the whole circle that is created when you put both halves together would be found by multiplying 3.14 x 2.5 in (the radius) x 2.5 in. This answer is about 20 square inches. The combined area is approximately 95 square inches.
Answer:
5√202
Step-by-step explanation:
By Pythagoras theorem,
x^2 = 45^2 + 55^2
= 2025 + 3025
x^2 = 5050
x = 5√202