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Home » Find the smallest and largest such \( n \) in range: - Get link 4share

Find the smallest and largest such \( n \) in range: - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A medical application uses a drug delivery system where each nanoparticle carries 3.2 × 10⁻⁹ grams of medicine. How many nanoparticles are needed to deliver 0.48 milligrams?

📌 Convert 0.48 mg to grams: 0.48 × 10⁻³ = 4.8 × 10⁻⁴ g

📌 Number of nanoparticles = total dose / dose per particle = (4.8 × 10⁻⁴) / (3.2 × 10⁻⁹)

📌 = (4.8 / 3.2) × 10⁵ = 1.5 × 10⁵ = 150,000

📌 A science museum installs a ramp for accessibility that rises 1 meter over a horizontal run of 5 meters. What is the angle of inclination (in degrees) to the nearest tenth?

📌 Use tangent: tanθ = opposite / adjacent = 1 / 5 = 0.2

📌 θ = arctan(0.2) ≈ 11.3°

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