If 1/32 of a parent material is left, compared to 31/32 of daughter, and the half-life is 50,000 years, then how old is the sample?
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251449 years

Explanation:

We can obtain the age of the sample by using the formula;

t1/2 = t ln2/ln(No/Nt)

Where;

t1/2 = half life = 50,000 years

t= elapsed time = the unknown

No = amount of radioactive material originally present

Nt= amount of radioactive material after time (t)

Note;

Since Nt/ No = 1/32

Then No/Nt= 32/1

Substituting values

t= t1/2 ln(No/Nt)/ln 2

t= 50000 × ln(32/1)/ln 2

t= 50000 × 3.47/0.69

t= 251449 years

emerging idea only occurs as a raw idea that could appear out of nowhere. meanwhile, to reach scientific consensus , that idea must be structured and tested over and over again through various experiments. the scientific consensus transforms the raw idea into idea that is more reliable through the process of scientific elimination.

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separate your answers so i dont get confused : )