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Home » The vertex form \( x = -\fracb2a \) gives the maximum. - RoadRUNNER Motorcycle Touring & Travel Magazine

The vertex form \( x = -\fracb2a \) gives the maximum. - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Let the amount the first startup receives be x. Then the second receives 2x, and the third receives 2x – 10,000.

📌 Total: x + 2x + (2x – 10,000) = 240,000 → 5x – 10,000 = 240,000 → 5x = 250,000 → x = <<250000/5=50000>>50,000

📌 Second: 2x = <<2*50000=100000>>100,000; Third: 100,000 – 10,000 = <<100000-10000=90000>>90,000

📌 #### 90000

📌 A mechanical engineer designs a robotic arm that rotates in precise increments. It rotates 18 degrees per step. To avoid overshooting, the arm must complete an angle that is a multiple of 45 degrees but not a multiple of 90 degrees. What is the smallest number of steps it can take to achieve such a position?

📌 Target angle: smallest multiple of 45 not divisible by 90 → 45° is valid, but 90° and higher (e.g., 135°) are candidates.

📌 Smallest such angle: 45°

📌 Steps required: 45 ÷ 18 = <<45/18=2.5>>2.5 → not an integer.

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