Let's say you have a bag with 16 cherries, 4 sweet and 12 sour. If you pick a cherry at random, what is the
2 answers:
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In the left hand side, you're multiplying 7.8 by
In the right hand side, you're multiplying again 7.8 by a mysterious number.
So, the unknown number must be
Every number remains unchanged when multiplied by 1, so the answer is 3.6
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.