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2025 time change fall - DevRocket

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 5Question: If the total number of patents filed by two companies is 12 and the sum of the squares of their patents is 90, find the sum of the cubes of their patents.

📌 Question: If the combined force from two ocean currents is 15 N and the sum of the squares of their individual forces is 173, find the sum of their cubes.

📌 Shifting the index in the second sum:

📌 Question: Find the quadratic polynomial $p(x)$ such that $p(1) = 2$, $p(2) = 5$, and $p(3) = 10$.

📌 Verification: $p(1) = 1 + 1 = 2$, $p(2) = 4 + 1 = 5$, $p(3) = 9 + 1 = 10$.

📌 Question: An anthropologist observes that in a remote village, the number of clay pots and wooden tools found in an excavation is in the ratio $ 7:4 $. If there are 28 clay pots, how many wooden tools are there?

📌 Solution: Let the number of clay pots be $ 7k $ and the number of wooden tools be $ 4k $. Given that $ 7k = 28 $, solve for $ k $:

📌 Now calculate the number of wooden tools:

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