Answer:
252 in²
Step-by-step explanation:
Recall area of regular polygon is A= (1/2)*(perimeter)*(apothem)
Area = (1/2)*(63)*(7)
= 252 in²
Answer:

Step-by-step explanation:
The logistic equation is the following one:

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.
In this problem, we have that:
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that
.
The number of fish tripled in the first year. This means that
.
Using the equation for P(1), that is, P(t) when
, we find the value of r.









Applying ln to both sides.


This means that the expression for the size of the population after t years is:

Answer:
that is step 1 and step 2 and step3
step 4
Let's solve your equation step-by-step.
−4(x+2)=8x+16
Step 1: Simplify both sides of the equation.
−4(x+2)=8x+16
(−4)(x)+(−4)(2)=8x+16(Distribute)
−4x+−8=8x+16
−4x−8=8x+16
Step 2: Subtract 8x from both sides.
−4x−8−8x=8x+16−8x
−12x−8=16
Step 3: Add 8 to both sides.
−12x−8+8=16+8
−12x=24
Step 4: Divide both sides by -12.
−12x
−12
=
24
−12
x=−2
Answer:
x=−2