The water can hold about 3,086 gallons of water.
The place value is millions place
There are 4 people that all I know hope this helps a little
It has been given that exactly 0.1 of the radioactive nuclei in a sample decay each hour. Thus, after n hours, the fraction of nuclei is given by the model expression:
.
Now, to find the value of n equal to one half-life, all that we need to do is to equate the above expression to half or 0.500 (to the indicated places of decimal) and solve for n.
Thus, we will get:
![(0.900)^n=0.500](https://tex.z-dn.net/?f=%20%280.900%29%5En%3D0.500%20)
Taking the log to the base 10 on both sides, we get: (Please note that we can take the log to any base)
![n\times log(0.900)=log(0.500)](https://tex.z-dn.net/?f=%20n%5Ctimes%20log%280.900%29%3Dlog%280.500%29%20)
Dividing both sides by log(0.900), we get:
hours
Therefore the value of n equal to one half-life is 6.579 hours.