Final answer:
After three hours of filtering out three-fourths of the contaminants each hour from an initial 400 grams, there will be 6.25 grams of contaminants remaining.
Step-by-step explanation:
To calculate the number of contaminants left after the third hour of the experiment when starting with 400 grams, and with three-fourths of the contaminants being filtered out each hour, you perform the following calculations:
After the first hour: 400 grams × (1 - ¾) = 400 grams × ¼ = 100 grams remaining.
After the second hour: 100 grams × (1 - ¾) = 100 grams × ¼ = 25 grams remaining.
After the third hour: 25 grams × (1 - ¾) = 25 grams × ¼ = 6.25 grams remaining.
Therefore, after three hours, there will be 6.25 grams of contaminants left.