The continuous growth rate model stipulates that the rate of population change

is in proportion with the actual population

(a function of time

). That is, there is some

such that

Solving for

, you get

You're given that

, so the population is increasing. At time

, you start with 2 bacteria, so

and

So, the growth equation is
Answer:
Volume = 1.9 in3
Step-by-step explanation:
If the perimeter of the square base is 5 inches, we have that:
Perimeter = 4 * side
5 = 4 * side
side = 1.25 in
Then, to find the volume of the pyramid, we can use the formula:
Volume = (1/3) * side^2 * height
So we have that:
Volume = (1/3) * 1.25^2 * 3.6
Volume = 1.875 in3
Rounding to nearest tenth, we have Volume = 1.9 in3
Answer:
Step-by-step explanation:
The two angles must add to 180
(4x-2)+(3x+14)=180
7x+12=180
7x=168
x=24
From reading the problem we see that y = 0 and x = 16.
To find the correct equation, simple plug in the values for x and y for each equation and see which equation is true.
The correct answer is 5x + 4y = 80
5(16) + 4(0) =80
80 + 0 = 80
80 = 80
Answer:
y = -1/2x+2
Step-by-step explanation:
Two points on the line are (0,2) and (4,0)
We can find the slope
m = (y2-y1)/(x2-x1)
= (0-2)/(4 -0)
= -2/4
- 1/2
We know the y intercept is 2 since it crosses the y axis at 2
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1/2x+2