The element X will take 22.10 minutes to decay to 26 grams.
The radioactive radiations are the radiations that an atom nucleus releases.
It is a sequence of numbers which have common difference.
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
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