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Question:** A virologist is working on synthesizing a new antiviral compound. The initial batch requires 120 milliliters of a base solution. Each subsequent batch uses 80% of the previous batch's volume. How many milliliters will the third batch use?
Solution:** The first batch uses 120 milliliters.
The second batch uses 80% of 120 milliliters:
\( 0.8 \times 120 = 96 \) milliliters.
The third batch uses 80% of 96 milliliters:
\( 0.8 \times 96 = 76.8 \) milliliters.
Question:** A bioinformatician is analyzing a genomic dataset containing 2^20 sequences. Each day, she processes half of the remaining sequences. How many sequences are left unprocessed after 5 days?
Solution:** Total sequences: \( 2^{20} = 1,048,576 \).