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Home » The configuration $1, 2, 3, 5, 7, 13, 109$ gives: - RoadRUNNER Motorcycle Touring & Travel Magazine

The configuration $1, 2, 3, 5, 7, 13, 109$ gives: - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Question: A glaciologist models ice shelf thickness changes with numbers $12345, 12347, 12349, 12351$. What is the greatest common divisor of these four values?

📌 Question: A climate model tracks annual snowfall averages: $11071, 11073, 11075, 11077$. What is the remainder when their sum is divided by $12$?

📌 Question: A glaciologist studying ice flow rates seeks the smallest three-digit number divisible by both $17$ and $23$, representing critical stress thresholds. What is this number?

📌 Question: A climatologist is analyzing temperature data and selects 10 cities at random. She wants to group them into 3 clusters: one cluster of 4 cities, one cluster of 3 cities, and one cluster of 3 cities. How many distinct ways can the cities be grouped?

📌 Question: A science communicator is creating a series of videos on permutations and wants to demonstrate all possible arrangements of 7 distinct science concepts, where 2 specific concepts must always appear adjacent to each other. How many such arrangements are there?

📌 Solution: Treat the 2 specific concepts that must be adjacent as a single block. This reduces the problem to arranging 6 items (the 5 other concepts and the 1 block). These 6 items can be arranged in $6!$ ways. Within the block, the 2 concepts can be arranged in $2!$ ways. Therefore, the total number of arrangements is:

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r = \frac{A}{s} = \frac{48}{16} = 3
\boxed{3}
$$A software developer's app processes 500 data points per hour. If ea...
Total processing time for 10,000 data points: 10,000 × 0.2 ms = 2,000...
Convert milliseconds to seconds: 2,000 ms ÷ 1,000 = 2 seconds.
Convert seconds to hours: 2 seconds ÷ 3,600 = 0.000555... hours.
Alternatively, calculate hours directly: 10,000 × 0.2 ms = 2,000 ms =...
Wait, correction: 10,000 × 0.2 ms = 2,000 ms = 2 seconds. 2 seconds =...
But the question asks for hours, so final answer is 10,000 × 0.2 × 0.0...
However, the correct calculation is: 10,000 × 0.2 × 10⁻³ = 2 seconds =...

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