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.
Really that’s your question :> the answer is 5
Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.
<h3>
How to convert decimal to fractions.</h3>
From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.
Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:
= 1 + 15/100
= 1 + 3/20
= 1 3/20
Therefore, the fraction is 1 3/20.
Learn more about fractions on:
brainly.com/question/17220365
Answer: A) 4.8 CM
Step-by-step explanation:
Hello There!
As for this problem, we would have to set up an equation in order to determine the missing age. We would do this because we want to find the missing age and by setting up an equation it will help find the age easier, as opposed to manually calculating it. With that said, let's begin to solve.
First, we would create an equation based on what the question says, which would look as:
x + x + 2 = 12
2x + 2 = 12
Subtract two from both sides.
2x = 10
The grand daughter is 5 years old and since the grandson is two years older he is 7.
Thus,
The age of the granddaughter is 5
The age of the grandson is 7