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Home » Thus, \(2^3x = 2^6\). - Tacotoon

Thus, \(2^3x = 2^6\). - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 #### 0.3072

📌 A glaciologist models ice thickness loss using the equation T = 500 - 8n - 0.5n², where T is thickness in meters and n is years since 2020. What will the ice thickness be in 2030?

📌 n = 2030 - 2020 = 10.

📌 T = 500 - 8(10) - 0.5(10)² = 500 - 80 - 0.5(100) = 500 - 80 - 50 = <<500-80-50=370>>370 meters.

📌 An AI system is trained on a dataset that doubles in size every month. Starting with 2 terabytes in January, how many terabytes will be used by the end of May?

📌 Months from Jan to May: 4 doublings (Feb, Mar, Apr, May).

📌 Final size = 2 × 2⁴ = 2 × 16 = <<2*16=32>>32 terabytes.

📌 A sustainable building uses rainwater collection. Each square meter of roof collects 0.6 liters per mm of rain. If the roof is 1,200 m² and a storm delivers 45 mm of rain, how many liters of water are collected?

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