Answer:
The number of mosquitoes is maximum for 6.5 inches rainfall.
Step-by-step explanation:
The given function is
.... (1)
where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.
We need to find the rainfall that produces the maximum number of mosquitoes.
Differential the above function with respect to x.
.... (2)
Equate first derivative equal to 0.



Differential function (2) with respect to x.

Double derivative is negative. So, the value of function is maximum at x=6.5.
Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.
This is a very simple and easy problem. I'm not sure why you need someone else to solve it, but I hope this helps
a. Linear equation:
Let x be amount of movies rented
$8 + ($2.50 * x)
b.
$8 + ($2.50 * 10)
= $8 + $25.0
= $33
Answer:
Correct answer: C. Ca = 4 Cb
Step-by-step explanation:
Given: Ra = 4 Rb
Ca : Cb = ?
Using the following formula to calculate the circumference of a circle:
C = 2 R π
Cb = 2 Rb π
Ca = 2 Ra π = 2 ·( 4 · Rb) · π = 4 · (2 Rb π) = 4 · Cb
Ca = 4 · Cb
God is with you!!!
Answer:
9) slope of AC = slope of FH
Equation of the line is y = - x + 5
10) Area = 320
Step-by-step explanation:
For 9, the only thing similar IS the slope of the hypotenuse because the triangles are along the same line. Unless they're asking for the equation of the line, then that's just using the point slope equation which is:
y = - x + 5
For 10, just multiply 4 and 5 by 4 to get 16 and 20. Then multiply 16 and 20 to get 320.
Answer:
x=146 degrees
Step-by-step explanation:
A supplementary angle is the conrisponding angle that adds to the other angle so it is 180. So 180-34= 146