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23 September, 06:57

Element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 40 grams, how much of the element would remain after 9 years, to the nearest whole number?

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  1. 23 September, 08:37
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    30 grams

    Step-by-step explanation:

    Use the half life equation:

    A = P (½) ^ (t / T)

    where P is the initial amount, t is time, and T is the half life length.

    Given P = 40, t = 9, and T = 21:

    A = 40 (½) ^ (9 / 21)

    A ≈ 30
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