The range of this function is all real numbers such that 0 ≤ y ≤ 40.
<h3>What is a range?</h3>
A range is the set of all real numbers that connects with the elements of a domain. This simply means that, a range is the solution set on the y-axis.
<h3>How to determine the range?</h3>
Based on the table (see attachment), we can logically deduce that when the time (x) is zero (0), the amount of water remaining in the bathtub (y) is 40.
Therefore, the range of this function is all real numbers such that 0 ≤ y ≤ 40.
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x = the number of feet of fence
y = the total cost of the fence and gate
43x + 128 = y
[fence costs $43 per feet(x) plus the cost of the gate(128) equals the total cost of the fence and gate(y)]
There are 12 student(s) in the group, because there is 12 one-third part(s) in 4 while jars
The solution for r in the given equation is r = √[(3x)/(pi h)(m)]
<h3>How to determine the solution of r in the equation?</h3>
The equation is given as:
m = (3x)/(pi r^(2)h)
Multiply both sides of the equation by (pi r^2h)
So, we have:
(pi r^(2)h) * m = (3x)/(pi r^(2)h) * (pi r^(2)h)
Evaluate the product in the above equation
So, we have:
(pi r^(2)h) * m = (3x)
Divide both sides of the equation by (pi h)(m)
So, we have:
(pi r^(2)h) * m/(pi h)(m) = (3x)/(pi h)(m)
Evaluate the quotient in the above equation
So, we have:
r^(2) = (3x)/(pi h)(m)
Take the square root of both sides in the above equation
So, we have:
√r^(2) = √[(3x)/(pi h)(m)]
Evaluate the square root of both sides in the above equation
So, we have:
r = √[(3x)/(pi h)(m)]
Hence, the solution for r in the given equation is r = √[(3x)/(pi h)(m)]
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The constant is .o5 and that would be it all the time
