Answer:
60
Step-by-step explanation:
A 3-digit number can be odd only when the third digit in it would be odd.
So,
The 3rd digit becomes the most limiting which can be (1, 3, or 5).
Now,
Since we have 3 alternatives to pick the third digit, it can be done in three ways. For every of these 3 ways, 5 digits will be left to select the 1st. Thus, the number of ways to select 3rd and 1st digit = 3 * 5 = 15 ways
After picking the 1st and 3rd digits, we are left with 4 ways to pick the other 4 digits. Thus, the total number of ways to select all the digits would be;
3 * 5 * 4 = 60 ways
Hence, 60 is the correct answer.
You can use point slope formula.

By getting the slope (m) from ∆y/∆x
You can plug it into the equation and plug in either of the two points as x1 and y1. This will result in the value for b. Plug that into the final equation and you have your answer!
Answer:
.20(7) ≤ x .20(8)
Step-by-step explanation:
let 'x' = amount of time in REM sleep
Answer:

Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given indefinite integral:


If the terms are multiplied by constants, take them outside the integral:

Multiply by the conjugate of 1 - sin(6x) :






Expand:






![\implies 12 \left[\dfrac{1}{6} \tan (6x)+\dfrac{1}{6} \sec (6x) \right]+\text{C}](https://tex.z-dn.net/?f=%5Cimplies%2012%20%5Cleft%5B%5Cdfrac%7B1%7D%7B6%7D%20%5Ctan%20%286x%29%2B%5Cdfrac%7B1%7D%7B6%7D%20%5Csec%20%286x%29%20%5Cright%5D%2B%5Ctext%7BC%7D)
Simplify:


Learn more about indefinite integration here:
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It’s D I hope I’m not late