Answer:
The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Step-by-step explanation:
Let
, for
.
represents the temperature of the water, measured in degrees Celsius, and
is the number of salmon swimming upstream to spawn, dimensionless.
We compute the first and second derivatives of the function:
(Eq. 1)
(Eq. 2)
Then we equalize (Eq. 1) to zero and solve for
:

And all roots are found by Quadratic Formula:
, 
Only the first root is inside the given interval of the function. Hence, the correct answer is:

Now we evaluate the second derivative at given result. That is:


According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Answer:
A, E, F, D
Step-by-step explanation:
Done this before
As it is proved that the equation has no solution, Derick is correct
Step-by-step explanation:
Given

We have to solve the equation in order to check if Derick was solved the equation correctly or not.
So,
Applying distributive property first

As the variable is already cancelled in the equation there is no unique solution.
In order for an equation to have infinite solutions the constant on both sides of equation should be same which is not the case in the given equation
So,
As it is proved that the equation has no solution, Derick is correct
Keywords: Linear equations, variables
Learn more about linear equations at:
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Answer:
174
Step-by-step explanation:
45+13=58
58*3
Answer:
I'm gonna estimate about 240 miles one way
Explanation:
You have a guide on the bottom right-hand corner of the map that tells you how many miles per that amount of distance. As you can see it is split off into tiles incremented by 30. What you do is take a ruler and measure that guide. For example, let's say the map is 9.5cm and the guide is 2cm per 60 miles. The next thing I would do is to measure the distance in centimeters of the physical map between point a and point b which is 8cm. Finally, I convert the centimeters into miles which is (8/2)*60 = 240.