Answer:
Therefore the population will be maximum when x=30 inches.
Step-by-step explanation:
Given that, the mosquito population is a function of rainfall and can be approximated by the formula
where x is the number of inches of rainfall.
Differentiating with respect to x
Again differentiating with respect to x
Now we set N'(x)=0
Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.
Therefore the population will be maximum when x=30 inches.
1500 pounds. 1 ton is equal to 2000 pounds. Divide 2000 by 4 and get 500 multiply by 3 to create 3/4 of a ton and get 1500. 1500 pounds
Substitute y=4x to the second equation:
x^2 + (4x)^2 = 17
x^2 + 16x^2 = 17
17x^2 = 17
x^2 = 17/17
x^2 = 1
x = 1 and -1
When x=1, y=4(1) = 4
When x=-1, y=4(-1) = -4
Thus the solutions would be (1,4) and (-1,-4). That would correspond to D. and A.
Answer:
7
Step-by-step explanation:
8(7)=56
There are 4 9's in a deck.
The probability would be 4 / 52 = 0.07692
Rounded to the nearest hundredth = 0.08
