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Home » g'(s) = 2 - \frac1s^2 - Malaeb

g'(s) = 2 - \frac1s^2 - Malaeb

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Now compute the remainder when $44296$ is divided by $8$:

📌 Question: A robotic arm cycles through 18 positions and 24 positions in two independent motion sequences. After how many cycles will both sequences align at the same position?

📌 Solution: We are to find the least common multiple of 18 and 24. First, factor both:

📌 Question: A museum exhibit displays a number system from an ancient civilization, where a base-$b$ number $213_b$ equals $47$ in base ten. What is the value of $b$?

📌 Solution: Convert $213_b$ to base ten:

📌 Try $b = 4$: too low, $b = 5$: too high.

📌 Try $b = 4.25$: $2(18.0625) + 4.25 = 36.125 + 4.25 = 40.375$

📌 Try $b = 4.5$: $2(20.25) + 4.5 = 40.5 + 4.5 = 45$

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