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Home » Substituting \(h = 2r\), we have: - Professionaloutdoormedia

Substituting \(h = 2r\), we have: - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 Event 1: year 58, Event 2: year 1930.

📌 Absolute difference: 1930 – 58 = <<1930-58=1872>>1,872 years.

📌 #### 1872A climatologist analyzing satellite data observes that a particular Arctic region has lost ice cover at an average rate of 13.1 billion tons per year over the past 32 years. If the total ice mass lost during this period is equivalent to 420 billion tons, and the loss has been accelerating uniformly by 0.4 billion tons more per year each year, how much ice was lost in the final year?

📌 This is a uniformly accelerating sequence where total loss = sum of an arithmetic series.

📌 Let the first year’s loss be \( a \), common difference \( d = 0.4 \), number of terms \( n = 32 \), and total loss = 420 billion tons.

📌 \( 420 = \frac{32}{2} [2a + (31)(0.4)] \)

📌 \( 420 = 16 [2a + 12.4] \)

📌 \( 420 = 16(2a + 12.4) \)

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