Answer:
Step-by-step explanation:
given that a bacteria culture initially contains cells and grows at a rate proportional to its size.
If P be the size then growth rate
where k is constant of proportionality
separate the variables as
![\frac{dP}{P} =kdt\\ln P =kt+C\\P = Ae^{kt}](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7BP%7D%20%3Dkdt%5C%5Cln%20P%20%3Dkt%2BC%5C%5CP%20%3D%20Ae%5E%7Bkt%7D)
If after 1 hour population is B (say)
![B=Ae^{k} \\\\k = ln B - ln A](https://tex.z-dn.net/?f=B%3DAe%5E%7Bk%7D%20%5C%5C%5C%5Ck%20%3D%20ln%20B%20-%20ln%20A)
then k = ln B - ln A
Using this
P(t) = ![Ae^{(lnB-lnA)t}](https://tex.z-dn.net/?f=Ae%5E%7B%28lnB-lnA%29t%7D)
b) P(e) = ![Ae^{(lnB-lnA)3}](https://tex.z-dn.net/?f=Ae%5E%7B%28lnB-lnA%293%7D)
c) Rate of growth = ![(ln B- ln A)Ae^{(lnB-lnA)3}](https://tex.z-dn.net/?f=%28ln%20B-%20ln%20A%29Ae%5E%7B%28lnB-lnA%293%7D)
Unless you give B value, d cannot be solved
750 / 9 = 83.333333
83.33333 * 24 = 2000
100 / 6 = 16.66666667
16.6666667 * 24 = 400
2000 - 400 = 1600 gallons more than the kidney
We are given the table that projects the distance of the car per hour. x is associated to time while y is associated to distance. The equation of the line after plotting in MS Excel is y = 900 - 50x. Hence the y-intercept is equal to 900 while the slope is equal to -50. The domain of the function that is x is all positive numbers.
that alot of work shhheeshhh
Answer:
980.18 cm^3
Step-by-step explanation:
Volume of cylinder w/out spheres = pi r^2 h
= pi 8^2 *6
now subtract the volume of the TWO spheres
2 * 4/3 pi * 3^3
for result = 980.18 cm^3