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.
Step-by-step explanation:
sec X = WX/XY = 37/12 = 3 1/12
or 3.083
Depending on how big the center is, I would say 15.
I hope this helped!
The answer is D. An agreement from everyone on the collaborative team to share equally in the work load.
Because this triangle is a right traingle and has one angel that is 45 degrees, the third angle must be 45 degrees to because 90+45+45=180. With that, km must be the same length as lm. we know lm is 5 so km is 5 too. No we can plug this into the Pythagorean Theorem too get
5^2+5^2=c^2
25+25=c^2
50=c^2
√50=√c^2
√25*2=c
5√2=c
Thats your answer to the length of lk.