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Home » Thus, the vector $\vecw$ is: - Abbey Badges

Thus, the vector $\vecw$ is: - Abbey Badges

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 Rate of change = k × I² = 0.0001 × (100)² = 0.0001 × 10,000 = 1 person per day

📌 An industrial designer is creating a cylindrical recycled-material container with a volume of 500π cm³. The height is triple the radius. What is the radius of the container?

📌 Volume = πr²h = πr²(3r) = 3πr³ = 500π

📌 Divide both sides by π: 3r³ = 500 → r³ = 500/3 ≈ 166.667

📌 r ≈ ∛166.667 ≈ 5.50 cm

📌 The James Webb Space Telescope observes a supernova in a galaxy 650 million light-years away. If light travels at 9.46 × 10¹² km per year, how many kilometers has the light traveled to reach Earth?

📌 Distance = 650 × 10⁶ × 9.46 × 10¹² = 6.469 × 10²¹ km

📌 #### 6.469e21

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