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Free_Kalibri [48]
3 years ago
15

Solve for the variable W over 15 = 3 over 15

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0
W/15 = 3/15
cross multiply 15 by 3
15 x 3 = 45
then divide 45 by 15
45 x 15 = 3

therfore W = 3

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Answer:

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The time taken for the radioactive element to decay to its final mass is calculated as follows;

1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} =  (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500})  = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s

Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.

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