Applying limits, it is found that since 
, and hence the <u>horizontal asymptote is not y = 0</u>, thus not being on the x-axis.
The function is given by:
The horizontal asymptote is the <u>limit of the function as x goes to infinity</u>, hence:
Considering only the terms with the highest exponents:
Since , and hence the <u>horizontal asymptote is not y = 0</u>, thus not being on the x-axis.
For more on <em>horizontal asymptotes and limits</em>, you can check brainly.com/question/11598999
The formula for circumference is 2 x PI x r
Using the circumference we can find the radius:
50.24 = 2 x PI x r
Multiply 2 by PI:
2 x 3.14 = 6.28
50.24 = 6.28 x r
Divide both sides by 6.28:
R = 50.24 / 6.28
R = 8
The radius is 8 units.
Answer:
Step-by-step explanation:
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Using a linear function, we have that:
a) The amount of water in the aquarium at 0 minutes is of 300 liters.
b) As time increases, the amount of water decreases at a rate of 60 liters per minute.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = ax + b
In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we have that the y-intercept is of 300, hence the amount of water in the aquarium at 0 minutes is of 300 liters.
The amount <u>decreases 60 liters in a minute,</u> hence:
As time increases, the amount of water decreases at a rate of 60 liters per minute.
More can be learned about linear functions at brainly.com/question/24808124
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