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Home » We are to partition 7 distinguishable species into 3 - ECD Germany

We are to partition 7 distinguishable species into 3 - ECD Germany

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 Question: An astronomer observes that a newly discovered exoplanet completes one orbit around its star every 12.5 Earth days, while another exoplanet takes 25.0 days. What is the least common multiple of their orbital periods to determine when both will align again?

📌 Solution: Convert the periods to fractions: 12.5 = $

📌 Question: A hydrologist needs to mix two water sources: one with 1.5 liters of rainwater and another with 3.5 liters of groundwater. What fraction of the total mixture is rainwater?

📌 Solution: Total mixture = $1.5 + 3.5 = 5.0$ liters. Fraction of rainwater = $

📌 Question: An astronomer calculates the orbital radii of two planets as 6.0 AU and 9.0 AU. What is the greatest common factor of these radii when expressed as integers in a scaled system?

📌 Solution: Convert 6.0 and 9.0 to 6 and 9. Find GCF of 6 and 9.

📌 Question: A hydrologist studies a sequence of water level measurements: 2, 5, 8, 11, ... What is the 15th term in this arithmetic sequence?

📌 Solution: Common difference $d = 3$. First term $a_1 = 2$. Formula for $n$th term: $a_n = a_1 + (n-1)d$.

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