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:
125.6 sq ft.
Step-by-step explanation:
To find the Surface Area of the cylinder, we will need to solve for the area of both bases and the rectangle around the cylinder. We can do this by:
------------------------------
Area of bases: (
)
Since we have two bases, we can simply multiply by 2, giving us:
12.56×2= 25.12
-------------------------------
Area of the rectangle: (
)
12.56×8= 100.48
Add these two together, giving us:
100.48+25.12= 125.6 sq ft.
Answer:
Coordinates system is a method for <em><u>plotting</u></em> coordinates on a plane or flat surface.
The green is y and the pink is x.
Answer:
y=14x
Step-by-step explanation:
