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.
303/4 - -929/8 -59/2
= 1299/8
Answer:
Step-by-step explanation:
Review the standard equation of a circle with center at (h, k) and radius r:
(x - h)^2 + (y - k)^2 = r^2
A point on (4, -2) has the radius r^2 = (4)^2 + (-2)^2, or r^2 = 20, or r = 2√5. Knowing the center is at (0, 0), we can write:
x^2 + y^2 = 20, or x^2 + y^2 = (2√5)^2
Answer:
37.5 ![units^2](https://tex.z-dn.net/?f=units%5E2)
Step-by-step explanation:
As the area of each of the side of the cube are the same we can multiply the area of one side by 6.
The area of one side is
![2.5*2.5=6.25\\\\6.25*6=37.5](https://tex.z-dn.net/?f=2.5%2A2.5%3D6.25%5C%5C%5C%5C6.25%2A6%3D37.5)
Answer:
10a+7k=c
10(3)+7(7)=79
Step-by-step explanation:
you substitute 3 for a because there are 3 adults.
then you substitute 7 for k because there are 7 kids.
you solve the equation and get 79 the you substitute 79 for c because that is the cost for 3 adults and 7 kids.