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\(\boxed36 \pi\) cubic micrometers - Leaselab

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 To determine how many groups can be formed, where each group contains a number of species that is a multiple of 15, we divide the total number of species by 15:

📌 \[ \frac{3000}{15} = 200 \]

📌 Thus, 200 groups can be formed, each containing exactly 15 species.

📌 \boxed{200}

📌 An epidemiologist is modeling the spread of a disease and uses two different parameters: one cycle every 8 days and another every 12 days. What is the least common multiple of these two cycle lengths?

📌 To find the least common multiple (LCM) of 8 and 12, we first determine their prime factorizations:

📌 \[ 12 = 2^2 \times 3 \]

📌 Highest powers: \(2^3\), \(3^1\)

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