Answer:
None of the options are correct
Step-by-step explanation:
Given
Required
The roots of the function
Since the function is a quadratic function; to get the roots of the function, f(q) must be equal to 0
becomes
Make 
the subject of formula
Rearrange
Take square roots of both sides
Expand the square root of 125
q = ±5 
Split into 2
or 
or 
Hence, the roots of the quadratic function are or
Four is a multiple of twenty eight and sixteen, but there isn't a multiple of twenty eight and sixteen that is between fifty five and one hundred and one.
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:
Pretty sure its 5700! not sure tho..
