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A scientist is observing the growth of a bacterial culture that doubles every 3 hours. If the initial population is 500 bacteria, how many bacteria will be present after 18 hours?
A chemist mixes two solutions: 300 mL of 0.4 M HCl and 200 mL of 0.6 M NaOH. Assuming complete neutralization, how many moles of water are produced?
Since HCl and NaOH react 1:1, 0.12 moles of water are produced.
A biologist studying allele frequencies finds that in a population, the frequency of allele A is 0.6 and allele a is 0.4. Using the Hardy-Weinberg principle, calculate the expected proportion of heterozygous individuals (Aa).
A data analyst uses logarithmic scaling to plot exponential growth. If a dataset grows from 100 to 1600 units in 8 weeks with constant relative growth per week, find the weekly growth factor.
What is the largest integer that must divide the product of any four consecutive integers?
Among any four consecutive integers, there must be:
At least one multiple of 4 (since among any two consecutive integers, one is even, and among any four, at least one pair ensures a multiple of 4).
To confirm, consider the divisibility:
Two of the numbers are even, and one of these is divisible by 4.
