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Home » From Street Food to Social Media Fame: The Ultimate Mini Tacos Guide You Can’t Miss! - Carbonext

From Street Food to Social Media Fame: The Ultimate Mini Tacos Guide You Can’t Miss! - Carbonext

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 x_total = 2.97 + 3.96 ≈ <<2.97+3.96=6.93>>6.93 km east,

📌 y_total = 2.97 − 3.96 ≈ <<2.97-3.96=−0.99>>−0.99 km ≈ 0.99 km south.

📌 Distance = √(6.93² + 0.99²) ≈ √(48.02 + 0.98) ≈ √49.00 = <<sqrt(49)=7>>7 km.

📌 A science educator designs an experiment where students measure the cooling of water using Newton’s Law of Cooling: T(t) = Tₐ + (T₀ − Tₐ)e^(−kt). If hot water at 95°C cools to 70°C in 10 minutes in a 20°C room, find the temperature after 20 minutes.

📌 Tₐ = 20°C, T₀ = 95°C, T(10) = 70°C.

📌 = 20 + (95 − 20)e^(−10k) → 50 = 75e^(−10k) → e^(−10k) = 50/75 = 2/3.

📌 Take ln: −10k = ln(2/3) ≈ ln(0.6667) ≈ −0.4055 → k ≈ 0.04055.

📌 Now T(20) = 20 + 75e^(−0.04055×20) = 20 + 75e^(−0.811) ≈ 20 + 75×0.4445 ≈ 20 + 33.34 ≈ <<20+33.34=53.34>>53.34°C.

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