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A synthetic biologist is engineering a genetic circuit that doubles protein expression every hour. If the initial expression level is 50 units, what will the expression level be after 6 hours?
Expression doubles each hour: 50 × 2⁶ = 50 × 64 = 3200
#### 3200
A seismologist models earthquake wave decay: the amplitude of a seismic wave decreases by 40% every 10 kilometers it travels. If the initial amplitude is 150 units, what is the amplitude after traveling 30 kilometers?
After 10 km: 150 × (1 - 0.40) = 150 × 0.60 = 90
After 20 km: 90 × 0.60 = 54
After 30 km: 54 × 0.60 = 32.4
#### 32.4
A virologist is diluting a viral sample by a factor of 10 each time. Starting with a concentration of 5,000,000 viral particles/mL, what is the concentration after 4 dilutions?
After 1st: 5,000,000 ÷ 10 = 500,000