<em>Answer:</em>
<em>There would be 173,535 lionfish after 6 years.</em>
<em>Step-by-step explanation:</em>
<em>Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:</em>
<em></em>
<em>A)</em>
<em>8000 x 1.67 ^ n = f </em>
<em>B)</em>
<em>8000 x 1.67 ^ 6 = X</em>
<em>8000 x 21.691961596369 = X</em>
<em>173,535.692770952 = X </em>
<em>C)</em>
<em>(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f</em>
<em>Therefore, there would be 173,535 lionfish after 6 years.</em>
Answer:
x = 33
y = 41
Step-by-step explanation:
GIven
x: number of nickels
y: number of quarters
A nickel = $0.05
A quarter = $0.25
then we have the system of equations
0.05*x + 0.25*y = 11.90
x + y = 74
Which can be solved applying any of known methods. Then, the solution is
x = 33
y = 41
hope this was helpful.
First, we must solve for the radius of the sphere:
V=



r=(3

)

r=(3*

)

r≈5.99
Second, we must solve for surface area:
A=4


A=4*

*

A≈450.88
1.) Beachy-Keen
2.) shorething
3.) shorething
4.) Beachy-Keen
5.) shorething
let me know if you think any of these are incorrect hope it helps
Answer:
The greatest common factor is 8xyz
Step-by-step explanation:
To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.
Numbers:
48, 24 and 56.
We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So
48 - 24 - 56|2
24 - 12 - 28|2
12 - 6 - 14|2
6 - 3 - 7|
They cant be factored by the same factors anymore, so the numeric GCF is 8.
Variables:
For each variable, the GCF will be the lowest exponent.
Variable x: We have exponents 1, 2 and 2. So the GCF is 
Variable y: We have exponents 3, 3 and 1. So the GCF is
Variable z: We have exponents 1, 1 and 1. So the GCF is 
The greatest common factor is:
