Answer:
The mean is 4
Step-by-step explanation:
15+2+4 = 21 which you can divide by 3 = 7
<h3>
Answer: C) 5</h3>
======================================================
Explanation:
Any vector of the form v = (a,b) will have a length of |v| = sqrt(a^2+b^2).
This is derived from the pythagorean theorem. It's the same as saying the distance from (0,0) to (a,b) is sqrt(a^2+b^2).
In this case, a = 3 and b = -4, which means...
|v| = sqrt(a^2+b^2)
|v| = sqrt(3^2+(-4)^2)
|v| = sqrt(9+16)
|v| = sqrt(25)
|v| = 5
The vector is 5 units long.
Note: we have a 3-4-5 right triangle
The answer is A, vertex, angle
—Evidence—
•] the two rays are connected at a common endpoint, called a vertex. This forms the angle. An angle is named by points on the rays.
Answer:
![(\frac{1}{4})^3 = \frac{1}{64}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%29%5E3%20%3D%20%5Cfrac%7B1%7D%7B64%7D)
Step-by-step explanation:
Given
![(\frac{1}{4})^3](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%29%5E3)
Required: Evaluate
The options are not clear. So, I'll answer without considering the options:
![(\frac{1}{4})^3](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%29%5E3)
Apply law of indices:
![(\frac{1}{4})^3 = (\frac{1}{4}) * (\frac{1}{4}) * (\frac{1}{4})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%29%5E3%20%3D%20%28%5Cfrac%7B1%7D%7B4%7D%29%20%2A%20%28%5Cfrac%7B1%7D%7B4%7D%29%20%2A%20%28%5Cfrac%7B1%7D%7B4%7D%29)
Remove brackets
![(\frac{1}{4})^3 = \frac{1}{4} * \frac{1}{4} * \frac{1}{4}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%29%5E3%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2A%20%5Cfrac%7B1%7D%7B4%7D%20%2A%20%5Cfrac%7B1%7D%7B4%7D)
Combine
![(\frac{1}{4})^3 = \frac{1*1*1}{4*4*4}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%29%5E3%20%3D%20%5Cfrac%7B1%2A1%2A1%7D%7B4%2A4%2A4%7D)
![(\frac{1}{4})^3 = \frac{1}{64}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%29%5E3%20%3D%20%5Cfrac%7B1%7D%7B64%7D)