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)]
Read more about equations at
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Can a function be concave down and positive everywhere?can be a semicircle
example, y=4+

attachment 1
Can a function be increasing and be concave down everywhere?no, concave down means increase slope then decrease slope
Can a function have two local extrema and three inflection points?inflection points are where the concavity changes
it can be at the ends, the middle and the other end
like in atachment 2, the circles are inflection points
Can a function have 4 zeros and two local extrema?
no, as you can see in attachment 3, there can be 3 zeroes at most for 2 local extrema
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The turtle is crawling at a rate of 1 mile per hour or 1 mph.
The formula to find speed:

We first need to find the distance to gift store:
18/60 × 10
=3miles
We can then find the time he used down hill:
3÷30×60
=0.1×60
=6 minutes
In total he walked:
3x2
=6miles
We can then find his average speed by dividing the distance by total time used:
=6÷(6+18)/60
=6÷24/60
=15mph
The answer is 15mph.
Hope it helps!
Uhh... what are the options?
Here's some possible ones:
0.2
1/5