Answer :
The element X will take 22.10 minutes to decay to 26 grams.
What is radioactive radiation?
The radioactive radiations are the radiations that an atom nucleus releases.
What is an arithmetic progression?
It is a sequence of numbers which have common difference.
How to find the time?
The decaying acts like an arithmetic progression in which a=670,d=-30.45 (per minute decaying) and n we have to find with the an value of 26 gram.
So, the formula of nth term of an arithmetic progression is
nth term=a+(n-1)d
26=670+(n-1)*(-30.45)
-644=-30.45n+30.45
-674.45=-30.45n
n=22.10 (after rounding off)
Hence the element X would take 22.10 minutes to decay to 26 grams.
Learn more about arithmetic progression at https://brainly.com/question/6561461
#SPJ2