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Home » #### Derivative: \( 12x^2 - 10x + 2 \) - AMAZONAWS

#### Derivative: \( 12x^2 - 10x + 2 \) - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 A PhD student in materials science is analyzing the microstructure of a composite. She notes that a cross-section contains 180 microfibers. If 1/4 are carbon, 1/3 are glass, and the rest are aramid fibers, how many aramid fibers are present?

📌 Carbon fibers: 180 × 1/4 = <<180*1/4=45>>45

📌 Glass fibers: 180 × 1/3 = <<180*1/3=60>>60

📌 Total non-aramid: 45 + 60 = 105

📌 Aramid fibers: 180 – 105 = <<180-105=75>>75

📌 In an AI training simulation, a neural machine translation model processes 2,400 sentences per hour. If each sentence has an average of 22 words and the system runs for 45 minutes, how many total words are processed?

📌 minutes = 0.75 hours

📌 Sentences processed: 2,400 × 0.75 = <<2400*0.75=1800>>1,800

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