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Home » Find all solutions to the inequality \( w^2 - 4w + 3 < 0 \). - Feedz API

Find all solutions to the inequality \( w^2 - 4w + 3 < 0 \). - Feedz API

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 An epidemiologist is modeling the spread of a disease in a population of 500,000. Initially, 1% are infected. After one week, the number of infected individuals increases by 40%. How many people are infected after one week?

📌 Initial infected = 1% of 500,000 = 0.01 × 500,000 = 5,000

📌 Increase = 40% of 5,000 = 0.4 × 5,000 = 2,000

📌 Total infected after one week = 5,000 + 2,000 = 7,000

📌 A palynologist finds that in a 10,000-year-old sediment core, 12% of pollen grains are from pine trees. If the total number of pollen grains counted is 25,000, how many pine pollen grains were identified?

📌 Pine pollen grains = 12% of 25,000 = 0.12 × 25,000 = 3,000

📌 A linguist analyzing historical texts observes that a grammatical construction appears once every 2,500 words in a 19th-century corpus. In a modern corpus of 150,000 words, it appears 90 times. How many times more frequent is it in the modern corpus compared to the historical average?

📌 Historical rate = 1 per 2,500 words → 150,000 / 2,500 = 60 expected

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