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:
Step-by-step explanation:
<u>Use properties of exponents:</u>
<u>Simplify the given expression:</u>
- 3⁴⋅x⋅(3/x²)⁻² =
- 3⁴·x·(3x⁻²)⁻² =
- 3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =
- 3⁴⁻²·x¹⁺4 =
- 3²·x⁵ =
- 9x⁵
Answer:
10
Step-by-step explanation:
3 1/2 cups of orange juice
2 1/2 cups of lemonade
1 quart = 4 cups
4 cups of ginger ale
add them all together...
so there should be:
10 1-cup servings!
i hope this helped you!!
:)
Answer:
Area: 60
Step-by-step explanation:
1. Multiply the base and the height which are 12 cm and 10 cm.
2. The multiply that product by 1/2 or you can divide it by 2 to get the area of the triangle.
Answer:
x=6
Step-by-step explanation:
8x-11=37
Add 11 to both sides
8x=48
Divide 8 from both sides
x=6
