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Home » Volume of sphere: \( \frac43\pi r^3 \). - High Altitude Science

Volume of sphere: \( \frac43\pi r^3 \). - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 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 \( f(g(5)) \).

📌 First, find the expression for \( f(g(x)) \). Given \( g(x) = \sqrt{x+3} \), substitute this into \( f(x) \):

📌 f(g(x)) = f(\sqrt{x+3}) = (\sqrt{x+3})^2 + 2\sqrt{x+3} + 1

📌 Simplify the expression:

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