Recall that your hypothesis is that these values are the fraction of atoms that are still radioactive after n half-life cycles. Record in the appropriate blanks.

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asked Nov 11, 2019 181k views

2 Answers

Yoogeeks · Answer 1 · 2019-11-18T18:01:25+0000

0.5^(n) means 0.5 raise to the power of n. "To the power of" means an action of multiplication of 0.5 to n times.

The different values of n are given in the table. Substituting these values:

For A:

n = 1 (given)

0.5^(n) = 0.5^(1) = 0.5

For B:

n = 2 (given)

0.5^(n) = 0.5^(2) = 0.5* 0.5 = 0.25

For C:

n = 3 (given)

0.5^(n) = 0.5^(3) = 0.5* 0.5* 0.5 = 0.125

For D:

n = 6 (given)

0.5^(n) = 0.5^(6) = 0.5* 0.5* 0.5* 0.5* 0.5* 0.5= 0.015625

For E:

n = 8 (given)

0.5^(n) = 0.5^(8) = 0.5* 0.5* 0.5* 0.5* 0.5* 0.5* 0.5* 0.5= 0.00390625

Hence, the values are:

A = 0.5

B = 0.25

C = 0.125

D = 0.015625

E = 0.00390625