Answer: (30m-9n)/270
First we start with m/9-n/30.
We multiply the denominators to get 270.
Then we multiply the numerators by the original denominators to get (30m-9n).
To check, we can use m=2, and n=4
2/9-4/30=4/45
(30*2-9*4)/270=24/270=4/45
Answer:
the answer is
x + y + z = 180 degrees
proof
the sum of all angles in the triangles is always equal to 180 degrees
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
=1/81
=3
=
=1/81
<u>Given</u>:
A population numbers 15,000 organisms initially and grows by 19.7 % each year.
Let P represents the population.
Let t be the number of years of growth.
An exponential model for the population can be written in the form of 
We need to determine the exponential model for the population.
<u>Exponential model:</u>
An exponential model for the population is given by

where a is the initial value and
and b is the rate of change.
From the given, the value of a is given by

Also, the value of b is given by

Thus, substituting the values of a and b in the exponential model, we get;

Thus, the exponential model for the given population is 