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.
Answer:
equation of circle is (x+5)^2+(y-3)^2=16
Step-by-step explanation:
equation of circle
is centre of circle
centre of circle=(-5,3)
put the value of centre and redius in the equation
equation of circle
=4^2
Answer:
100 + 60 + 8 + 0.7
Step-by-step explanation:
Expanded form or expanded notation is a way of writing numbers to see the value of individual digits.
Remember distributive property
a(b+c)=ab+ac
we can ervers it
6(31)+6(4)-6(15)=6(31)+6(4)+6(-15)=6(31+4-15)=6(20)=120