you start with 1,000,000 bacteria cells, 10% die each minute. How long until sterilization?

Answer 1

If 10% die every minute, then 90% remain every minute.

1000000(.90)^m ... where m is the number of minutes.

You need to figure out what value of m that results in a number than rounds to zero.

y = 1000000(.90)^m

At m = 137, y = .538
At m = 138, y = .485

To the nearest whole minute, the sterilization will happen at 138 minutes.

Answer 2

This can't be calculated to the last one. When it gets to the last one, there is no 10% to die per minute. That's probably the one that will have the ability not only to survive the serilization, but to also subdivide thousands of times and you will be right back where you started. Or much worse.

Answer 3

Most bacteria can double their amount in 15 - 20 minutes. If we take that into count, you won't ever get sterilization.

Answer 4

bact. cells that die in 1st min=10%= 0.10* one thousand.000 =one hundred,000 2d min= .10*one hundred,000=10,000 third min= .10 * ten thousand=one thousand 4th min = .10* one thousand=one hundred 5th min = .10 * one hundred=10 sixth min=.10* 10= a million ******* seem on the development for each passing minute so after 6 minutes a million bacterial cellular is left 7 th min .10*a million= .10 8th min . 10*.10 =.01 >>>sterlization .

Answer 5

u didn't say how fast they multiply. If more than 1 million are produced in 1 minute then it's impossible to completely sterilize

I guess there is no practicality in math, lol

Answer 6

138 man but bacteria doubles....

ex. like yeast

Answer 7

when ((0.9)^n)*1000000 is less than 1, all the bacteria will have died off. n may be calculated to be 131 minutes.

Answer 8

10 minutes. If 10% of 100 is 10...then 10% of 1,000,000 is 100,000...so just divide 1,000,000 by 100,000. Thanks!~

Answer 9

like i can figure out this one