You're looking for the extreme values of 
subject to 
. The Lagrangian is
with critical wherever the partial derivatives vanish:
Substituting the first three solutions into the last equation gives
At these points, we have
so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).
Answer:
There's 21% of chances
Step-by-step explanation:
Here we have to use the definition of a simple probability, where all fishes has the same probability to be chose.
So, we have to divide the possible outcomes with the total of outcomes. The possible outcomes refer to the number of large-blue fishes, and the total number of outcomes represent the total number of fishes. So
P = 3/4 ≈ 0.21 (or 21%)
Therfore, there's 21% of chances to select one fish randomly and be a large, blue fish.
Answer:
Between 4 and 5
Step-by-step explanation:
The closest square numbers are 16 and 25, so it’s in between 4 and 5
According to given information,
Equation of Melinda Earning = 75 + 12x
Equation of Marcus Earning = 15x
Where, x = Number of hours they worked.
Now, we need to calculate when they will have same amount of money, so for that instance they shall equal to each other.
75 + 12x = 15x
15x - 12x = 75
3x = 75
x = 75/3
x = 25
After 25 hours, they will have the money = 15(25) = $375
So, your final answer is $375
Hope this helps!
