Suppoe that the concentration of a bacterial ample i 100,000 bacteria per millimeter. If the concentration double every three hour

1 thought on “Suppoe that the concentration of a bacterial ample i 100,000 bacteria per millimeter. If the concentration double every three hour”

1. The time t = 3.4209 will it take for the concentration to reach 350,000 material per millimeter.

   How do you calculate hours and minutes?

   In an hour, there are 60 minutes. Divide the number of minutes by 60 to convert it to hours. For instance, 120/60=2 means that 2 hours are equal to 120 minutes.

   What is millimeter?

   The millimeter, abbreviated mm in the International System of Units (SI), or millimeter, abbreviated mm in the American spelling, is a unit of length that is one thousandth of a metre long, the SI base unit of length. As a result, a metre is made up of 1000 millimeters.

   We are going to use formula

   y = a * e ^ (b * t)

   a and b are constants and t is for time.

   Initially there are 100,000 bacteria, so;

   100000 = a * e ^ (b * 0)

   100000 = a * 1

   a = 100000

   given condition is that the concentration doubles every 3 hours so

   300000 = a * e ^ (b * 3)

   As a equals to 100,000

   e ^ (b * 3) = 3

   b * 3 = ln 3

   b = (ln 3) / 3

   b = 0.3662

   now we have to finf value of the time when concentration of bacteria reaches to 350,000:

   350000 = 100000 * (e ^ 0.3662 * t)

   3.5 = e ^ 0.3662* t

   ln 3.5 = 0.3662* t

   t = 1.2527 / 0.3662

   t = 3.4209

   That is the required value of time

   #SPJ4

   Reply