You have 4,592 grams of a radioactive kind of scandium. How much will be left after 168 days if its half-life is 84 days?

Sure, here's how you can calculate it:

1. First, you need to determine how many half-lives have passed in 168 days. Since the half-life of this radioactive scandium is 84 days, you divide 168 by 84. This gives you 2, meaning two half-lives have passed.

2. Now, you need to calculate how much of the scandium remains after each half-life. After one half-life (84 days), half of the original amount remains. So, you divide 4,592 grams by 2, which gives you 2,296 grams.

3. After the second half-life (another 84 days), half of the remaining amount (2,296 grams) remains. So, you divide 2,296 grams by 2, which gives you 1,148 grams.

So, after 168 days, you would have 1,148 grams of the radioactive scandium left.