Answer:
The initial populations of slugs is 40
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value (value of f(x) when the value of x is equal to zero)
b is the base
r is the rate
b=(1+r)
In this problem we have
therefore
The initial populations of slugs is 40
<u><em>Verify</em></u>
For n=0
substitute in the function
The length of the hypotenuse will be equal to H=122.25 when value of x=14.
<h3>What is pythagorean theorem?</h3>Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.
It is given that:
Value of x=14
The perpendicular is =6x+5=6x14+5=89
The base is =6x=84
So by using the Pythagorean theorem:-
Hence the value of hypotenuse will be H=122.25
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