<h3>
Answer: 17</h3>
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Explanation:
We'll start things off by computing the inner function u(2)
Plug x = 2 into the u(x) function
u(x) = -x-1
u(2) = -2-1
u(2) = -3
This tells us that w(u(2)) is the same as w(-3). I replaced u(2) with -3.
We'll plug x = -3 into the w(x) function
w(x) = 2x^2-1
w(-3) = 2(-3)^2 - 1
w(-3) = 2(9) - 1
w(-3) = 18-1
w(-3) = 17
Therefore, w(u(2)) = 17
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Here's a slightly different approach:
Let's find what w(u(x)) is in general
w(x) = 2x^2 - 1
w(u(x)) = 2(u(x))^2 - 1
w(u(x)) = 2(-x-1)^2 - 1
Then we can plug in x = 2
w(u(x)) = 2(-x-1)^2 - 1
w(u(2)) = 2(-2-1)^2 - 1
w(u(2)) = 2(-3)^2 - 1
w(u(2)) = 2(9) - 1
w(u(2)) = 18 - 1
w(u(2)) = 17
Frequency describes the number of waves that pass a fixed place in a given amount of time.
Answer:
24 inches
Step-by-step explanation:
Similar to the question you asked earlier, this question also has 3 small rectangles and we can combine it to make it a one big rectangle. The equation for the perimeter is this:
2W + 2L = P
We know W and P (the width of the small rectangles times 3), thus plugging in those values would give us:
2(30*3) + 2L = 324
180 + 2L = 324
2L = 144
L = 72
We need to divide this number by 3 to get the length of the small rectangle, which would give us 72/3 or 24.
Answer:
Diverge
Step-by-step explanation:
(a)
1st year: 
2nd year: 
3rd year: 
4th year: 
5th year: 
(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:
This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule
This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.
