The turtle population will be 486 after 5 years.
<u>Step-by-step explanation</u>:
The general form of a geometric progression or geometric sequence is a, ar, ar², ar³ and so on.
where,
- a = first term
- r = common ratio
<u>The formula to find the nth term in GP is :</u>
nth term = 
The given sequence 6,18,54.
In this sequence,
- The first term, a = 6
- The common ratio, r = 18/6 = 3
5th term = 
⇒ 
⇒ 6
81
⇒ 486
Therefore, after 5 years the population will be 486.
A^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 137^2 - 105^2
b^2 = 18769 - 11025
b^2 = 7744
b = sqrt 7744
b = 88
Gina's step is not correct... the length of the unknown leg is not 7744, it is the sqrt of 7744, which is 88
Xy=k, whenever the product of two variables is a constant it is called inverse variation. This is an inverse relationship, intuitively because, as the value of one variable increases, the other decreases and vice versa.
It is easy to spot as xy=k or y=k/x.
A) 3y - x = 10 is the correct answer! (I just graphed it on Desmos.com)
