Answer:
z = - 0.78
Step-by-step explanation:
Given:
1/3(6z+7.2)=0.5(8z+2)-0.4
Open parenthesis
2z + 2.4 = (4z + 1) - 0.4
2z + 2.4 = - 1.6z - 0.4
Collect like terms
2z + 1.6z = - 0.4 - 2.4
3.6z = -2.8
z = -2.8 / 3.6
= - 0.78
There would be 173,535 lionfish after 6 years.
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:
- A)
- 8000 x 1.67 ^ n = f
- B)
- 8000 x 1.67 ^ 6 = X
- 8000 x 21.691961596369 = X
- 173,535.692770952 = X
- C)
- (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f
Therefore, there would be 173,535 lionfish after 6 years.
Learn more about maths in brainly.com/question/25851847
The Domain (x-values and independent variable) would be the time of day
The Range (y-values and dependent variable) would be the amount of people in a movie theater
Hey there!
You got the first part right where you added r to both sides. However, you need to make sure that you complete all actions on both sides, including canceling out parts of terms by division. The only thing you need to do is divide both sides by h instead of just the left. This will make your answer:

Hope this helped you out! :-)
First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.
The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:
22/2 = 11 yards
32/2 = 16 yards
Then solve for the area of both circles.
π


π ≈ <span>380.13 (area of the pool)</span>
π


π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:

(area of the walkway)
Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:
424.12 ÷ 6 ≈ 70.69
So you'll need 71 gallons of paint!
Hope I helped and let me know if you have any questions :)