Answer: Explanation below.
Step-by-step explanation:
First of all you need to know how to convert a logarithm into an exponential expression. The property is:

This is the same as: 
Example 1:

We are trying to find what to raise 9 to, in order to get a result of 9.

When you have same bases, you equal exponents.

Therefore; 
Example 2:


In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as:
which is 2*2*2*2*2
Rewriting this example we have;

Since we have the same base, we equal exponents.

Therefore; 
Example 3:


729 can have a base of 3 if expressed as: 


Answer:
Determine if the sequence is arithmetic (Do you add, or subtract, the same amount from one term to the next?)
Find the common difference.
Step-by-step explanation:
Answer:
y = 1/2x + 5/2
Step-by-step explanation:
y = 1/2x + b
5 = 1/2(5) + b
5 = 5/2 + b
5/2 = b
Answer:
The expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4.
Step-by-step explanation:
The x-axis label is Time in seconds, and the x-axis values are from 0 to 20 in increments of 4 for each grid line.
And the y-axis label is Number of Balls and the y-axis values from 0 to 100 in increments of 20 for each grid line.
If the ordered pairs (4,20) and (8,40) are on the graph, then the slope of the line will be represented by
Therefore, the expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4. (Answer)