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📅 May 13, 2026 👤 scraface

May 13, 2026

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📌 A renewable energy researcher is examining the performance of two solar panels that generate energy cycles of 18 days and 24 days, respectively. What is the least common multiple of these two cycles?

📌 A science policy analyst is evaluating two datasets containing 56 and 98 entries each. What is the greatest common divisor of the number of entries in these datasets?

📌 To find the greatest common divisor (GCD) of 56 and 98, we use their prime factorizations:

📌 The GCD is found by taking the lowest power of each common prime:

📌 A renewable energy researcher is studying integers representing energy output levels and notes that one particular level is one less than a multiple of 13 and one more than a multiple of 7. What two-digit positive integer satisfies both conditions?

📌 x = 13(7m + 4) + 12 = 91m + 52 + 12 = 91m + 64

📌 A seismologist is modeling seismic wave patterns and seeks the smallest positive integer whose square ends in the digits 44.

📌 We break this into modulo 4 and modulo 25, then apply the Chinese Remainder Theorem.

🔥 Popular Posts

Let the integers be x and x+1. Then, (x+1)² - x² = 35.
Expanding, x² + 2x + 1 - x² = 35, so 2x + 1 = 35.
Solving for x, 2x = 34, x = 17.
Integers are 17 and 18.
#### 17 and 18
If a bank account earns 5% annual interest compounded annually, how mu...
Future value = P(1 + r)^n, where P = 1000, r = 0.05, n = 3.
Future value = 1000(1 + 0.05)³ = 1000(1.157625) ≈ 1157.63.
A ladder leans against a wall, forming a right triangle with the groun...
Using Pythagoras' theorem, a² + b² = c², where c = 13, b = 12.

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