Don't know whether or not you've encountered differential equations yet, but will try that approach here.
The growth rate is dy/dt = ky (which states that the rate is proportional to the size of the population, y, and k is a constant.
Grouping like terms,
dy
--- = kt, so y = Ne^kt
y
We are told that at t=0, there are 880 bacteria. Thus, 880=N. Therefore,
y = 880e^(kt). After 5 hours the pop will be 4400; using this info, find k:
4400=880e^(5k), or 5 = e^(5k). So, our y = 880e^(kt) becomes
y = 880e^(5t).
What will be the pop after 2 hours? y(2)=880e^(10) = 880(22026) =
approx. 19,383,290 bacteria
Time to reach a pop of 2550? 2550 = 880e^(5t). Find t.
ln 2550 = ln 880 + 5t, so ln 2550 - ln 880 = 5t. Divide both sides by 5 to obtain this time, t.
Answer:
[-7, + ∞) is domain
Step-by-step explanation:
Domain is all of the 'x' values a function has
this one goes from -7 to + inf
Answer:
12 ft
Step-by-step explanation:
Note that you have a right triangle here, with hypotenuse 13 ft, and base 5 ft. Using the Pythagorean Theorem, we find the height of the upper tip of the ladder as follows:
(13 ft)^2 = y^2 + (5 ft)^2. Then y^2 = 144 ft^2, and y =height= 12 ft
Answer:
C
Step-by-step explanation:
609/504 = 1.208333333
58/48 = 1.208333333
They are proportional since they divide to the same number.
Answer:
Terrence will make 30 more dollars than Teresa :-)
Step-by-step explanation:
gl! <33
