A study of 31,000 hospital admissions in New York State found that 4% of the admissions led to treatment-caused injuries. One-se
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Answer:
<h2>It takes 36 minutes to fill the bathtub using just hot water.</h2>Step-by-step explanation:
We are gonna name V the complete volume of the bathtub, which is filled a certain amount of minutes. Each filling rate or speed is gonna be expressed as: .
So, if we apply this consideration to each case we have:
Using cold and hot water:
Using only cold water:
Using only hot water: ; because we don't knot the time it takes to fill the bathtub with hot water.
Now, as you can see, Cold and Hot water is a sum of cold water only and hot water only:
Solving the equation for <em>x: </em>
Therefore, it takes 36 minutes to fill the bathtub using just hot water.
Answer:
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is 202500 swordfishes.
Step-by-step explanation:
Let be , the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)
First Derivative Test
Let equalize the resulting expression to zero and solve afterwards:
Second Derivative Test
This means that result on previous part leads to an absolute maximum.
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is:
The maximum sustainable yield is 202500 swordfishes.