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Home » Watch the 75-Medium Challenge Go Viral: Can You Finish It All? - AMAZONAWS

Watch the 75-Medium Challenge Go Viral: Can You Finish It All? - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 A research assistant analyzes protein expression data and finds that Gene X expression increases exponentially. At 2 hours post-treatment, expression is 120 units; at 5 hours, it is 960 units. What is the hourly growth rate (as a multiplier) assuming continuous exponential growth?

📌 Model: P(t) = P₀e^(rt).

📌 At t=2, P=120; t=5, P=960.

📌 So: 960 = 120e^(3r) → 8 = e^(3r) → ln(8) = 3r → r = ln(8)/3 = 3ln(2)/3 = ln(2) ≈ <<log(2)=0.6931>>0.6931.

📌 But express multiplier per hour: e^r ≈ e^0.6931 ≈ <<exp(0.6931)=2>>2.

📌 Thus, the expression doubles every hour.

📌 A mammalogist observes that a herd of caribou splits into two groups. The ratio of males to females in the total herd is 3:5, and 40% of males and 60% of females migrate north. If 120 animals migrate north, how many total caribou were in the herd?

📌 Let total male = 3x, female = 5x → total = 8x.

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