Answer: Hello there!
We know that the culture has 2000 bacteria initially (at t = 0 min), and it doubles when t = 40min, again at t = 80 min, and so on
And the rate of grouth is proportional to the population, then we can obtain an expression of the form:
P(t) = 2000*k(t) where k(t) is the factor that defines the growth of the population:
we know that:
p(0) = 2000*k(0) = 2000
p(40) = 2000*k(40) = 2000*2 = 4000
p(80) = 2000*k(80) = 2000*2*2 = 8000
etc
then we can see that k(t) = 2^(t/40)
where k(0) = 1, k(40) = 2, k(80) = 2*2, etc
then the function that models the population of the culture is:
p(t) = 2000*2^(t/40)
where t is in minutes.
Answer:
0.08y - 0.0144
Step-by-step explanation:
We need to solve the below expression i.e.
(y - .18) x .08
It can be done as follows :
Using distributive property to solve it.
(y - .18) x .08 = 0.08(y) - 0.18(0.08)
= 0.08y - 0.0144
<em>So, the equivalent expression is 0.08y - 0.0144.</em>
Answer:
<em>27 units</em>
Step-by-step explanation:
Answer:
TSA = 175.84 ft²
Step-by-step explanation:
We are given;
Lateral surface area; A_L = 75.36 ft²
Area of base; A_b = 50.24 ft²
Height of cylinder; h = 3ft
Formula for total surface area of Cylinder is;
TSA = 2πr² + 2πrh
Now, lateral surface area is given by the formula; A_L = 2πrh
Area of base is given by the formula;
A_b = πr²
Thus, let's apply these 2 formulas to the formula for total surface area;
TSA = 2(Area of base) + Lateral surface area
TSA = (2 * 50.24) + 75.36
TSA = 175.84 ft²