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you are worthy of it all david brymer lyrics - Network4

📅 May 20, 2026 👤 scraface

May 20, 2026

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📌 We are given the ratio of astronomical discoveries to mathematical discoveries as $ 5:3 $, and the number of astronomical discoveries is 15.

📌 Let the number of mathematical discoveries be $ x $.

📌 Now verify that the rectangles can fit perfectly in the square. Since $ 12 $ is divisible by both 2 and 3, we can arrange the rectangles in rows and columns:

📌 Question: A venture capitalist is evaluating a clean tech startup that uses modular solar panel arrays. Each array generates energy in a sequence: 3 kW in the first month, 8 kW in the second, 13 kW in the third, and so on, increasing by 5 kW each month. What is the total energy generated by the array in the first 20 months?

📌 The sequence of monthly energy outputs is arithmetic:

📌 First term $ a = 3 $, common difference $ d = 5 $, number of terms $ n = 20 $.

📌 The sum of the first $ n $ terms of an arithmetic sequence is:

📌 Positive multiples of 3 less than 10 are: $ 3, 6, 9 $.

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