Exponential equation are functions defined by 
The equation that could represent Rainey graph must take the form 
<h3>How to determine the equation</h3>
An exponential equation is represented as:

Where:
- a represents the initial value
- b represents the rate
The initial value (a) is 15.
So, the equation becomes

The graph is not given;
So, the equation cannot be determined.
Assume that the rate is 2.
Then the function would be: 
Read more about exponential functions at:
brainly.com/question/11464095
Using the formula 1° × π/180 = 0.01745rad,
3240 degrees/second = 56.54867 radians/seconds
Answer:
A: the proposed route is 3.09 miles, so exceeds the city's limit
Step-by-step explanation:
The length of the route in grid squares can be found using the Pythagorean theorem on the two parts of the route. Let 'a' represent the length of the route to the park from the start, and 'b' represent the route length from the park to the finish. Then we have (in grid squares) ...
a^2 = (12-6)^2 +3^2 = 45
a = √45 = 3√5
and
b^2 = (6 -2)^2 +4^2 = 32
b = √32 = 4√2
Then the total length, in grid squares, is ...
3√5 + 4√2 = 6.7082 +5.6569 = 12.3651
If each grid square is 1/4 mile, then 12.3651 grid squares is about ...
(12.3651 squares) · (1/4 mile/square) = 3.0913 miles
The proposed route is too long by 0.09 miles.
Answer:
B. 21.64
Step-by-step explanation:
We have been given a triangle and we are asked to find the length of AC (b).
We will use law of cosines to find the length of side AC.

Upon substituting our given values in the formula we will get,
Upon taking square root of both sides of our equation we will be get,
Therefore, the length of b is 21.64 and option B is the correct choice.
Answer:
The cost store owner pay for the pair of jeans is <u>$42</u>.
Step-by-step explanation:
Given:
A store owner uses a selling price of 125% of the cost of an item.
If a pair of jeans has a sales price of $52.50.
Now, to find the cost price of the store owner pay for the pair of jeans.
Let the cost price of jeans be 
Sell price of jeans = 
Now, to get the cost price of store owner pay for the pair of jeans:
<em>As given the</em><em> </em><em>store owner uses a selling price of 125% of the cost of an item.</em>
According to question:



<em>Dividing both sides by 1.25 we get:</em>

<em>The cost price of jeans = $42.</em>
Therefore, the cost store owner pay for the pair of jeans is $42.