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J. The Stockholm Convention - RTA

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 A science policy analyst models carbon offset. If a new solar farm displaces coal power generating 1,000 MWh annually, and each MWh from coal emits 0.9 metric tons of CO₂, how many tons of CO₂ are avoided per year?

📌 CO₂ avoided = 1000 MWh × 0.9 tons/MWh = <<1000*0.9=900>>900 metric tons.

📌 An electrical engineer calculates energy tenacity. A solar microgrid serves 50 homes, each using 30 kWh/day. If the battery storage system holds 1,200 kWh and daily generation is 1,500 kWh, what is the net surplus or deficit over one day?

📌 Daily consumption: 50 × 30 = <<50*30=1500>>1500 kWh.

📌 Daily generation: 1500 kWh.

📌 Battery storage: 1200 kWh. Assume battery starts fully charged.

📌 Surplus during generation: 1500 − 1200 = 300 kWh.

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Set $ g'(s) = 0 \Rightarrow 2 = \frac{1}{s^2} \Rightarrow s^2 = \frac{...
So minimum occurs at endpoint $ s = \frac{1}{2} $:
g\left( \frac{1}{2} \right) = 1 + 2 \cdot \frac{1}{2} + \frac{1}{\frac...
Thus, the minimum value is $ \boxed{4} $.
Question: A philosopher of science considers three unit vectors $ \mat...
Solution: Since $ \mathbf{a}, \mathbf{b}, \mathbf{c} $ are unit vector...
\|\mathbf{a} + \mathbf{b} + \mathbf{c}\|^2 = \|\mathbf{a}\|^2 + \|\mat...
= 3 + 2(\mathbf{a} \cdot \mathbf{b} + \mathbf{b} \cdot \mathbf{c} + \m...
Each dot product $ \leq 1 $, and maximum occurs when $ \mathbf{a} = \m...
\|\mathbf{a} + \mathbf{b} + \mathbf{c}\|^2 = 3 + 2(1 + 1 + 1) = 3 + 6...

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