Answer:
x^2 - 14x = 0
Step-by-step explanation:
x^2/2=7x
x^2=7x * 2
x^2=14x
x^2 - 14x = 0
Answer:
it is 69
Step-by-step explanation:
do calculations
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:

Step-by-step explanation:
we know that
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
so

where
a, b and c are the length sides of triangle
s is the semi-perimeter of triangle
we have

<em>Find the semi-perimeter s
</em>
s=
Find the area of triangle



simplify

Answer:
A, B, and C are all true.
Step-by-step explanation:
A. 6 is neither a perfect square nor a perfect cube. True
B. 16 is a perfect square. True 
C. 27 is a perfect cube. True 
OD. 1,331 is both a perfect square and a perfect cube. False
E. 9 is a perfect cube. False