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Home » The volume of a hemisphere of radius $ 3x $ is half the sphere volume: - Sourci

The volume of a hemisphere of radius $ 3x $ is half the sphere volume: - Sourci

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Lena’s nonprofit partners with 5 local gardens. Each garden supplies 240 kg of compost every 6 weeks. How much compost is produced in 18 weeks?

📌 Number of 6-week periods in 18 weeks = 18 ÷ 6 = <<18/6=3>>3

📌 Compost per garden = 240 kg × 3 = <<240*3=720>>720 kg

📌 Total from 5 gardens = 720 × 5 = <<720*5=3600>>3600 kg

📌 Dr. Raj applies a risk model where the probability of a portfolio loss exceeding $5,000 in a week is 3.5%. If he monitors 100 such weeks, how many weeks are expected to exceed this loss threshold?

📌 Expected number = 3.5% of 100 = 0.035 × 100 = <<0.035*100=3.5>>3.5

📌 #### 3.5**Question:** A quantum sensing specialist is modeling the behavior of a particle with the function \( f(x) = x^2 + 2x + 1 \). Determine \( f(g(x)) \) if \( g(x) = \sqrt{x+3} \) and find \( f(g(5)) \).

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