Answer:
The value of given expression is 1.
Step-by-step explanation:
The given expression is
If a is a real number, then 
.
![[\because a^0=1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E0%3D1%5D)
Using exponent property we get,
![[\because a^{-n}=\frac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cfrac%7B1%7D%7Ba%5En%7D%5D)
Therefore the value of given expression is 1.
We are given with two functions f(x) = log10 x and g(x) = 3x − 1 and is asked for the product of the two functions expressed as f(x) • g(x). The answer then is simply the product of the two functions, that is log x * (3x - 1). log 10 x is equal to log x.
The lateral area of the cube is 36 sq units
<u>Explanation:</u>
<u />
Given:
Perimeter of the base of the cube = 12 units
Base of the cube has 4 sides
So, the perimeter of the base = 4a
where,
a is the length of one side
Thus,
4a = 12 units
a = 3 units
Lateral surface area of the cube = 4a²
A = 4 X (3)²
A = 36 sq units
Therefore, the lateral area of the cube is 36 sq units
You are correct. The higher the standard deviation is, the more spread out the data set will be. Nice work.
