Let's solve each question step by step:
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Households Served by Power Station
- Average usage per household: \(1.04 \times 10^4 \) kWh.
- Total generation by power station: \(2.496 \times 10^{10} \) kWh.
- To find the number of households it can serve, divide total kWh by kWh per household: \[ \text{Number of households} = \frac{2.496 \times 10^{10}}{1.04 \times 10^{4}} = \frac{2.496}{1.04} \times 10^{10 - 4} = 2.4 \times 10^6 \]
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Miles from Meters
- Meters in a mile: \(1.6 \times 10^3 \).
- Meters to convert: \(3.52 \times 10^7 \).
- To find the number of miles, divide the total meters by meters per mile: \[ \text{Miles} = \frac{3.52 \times 10^7}{1.6 \times 10^3} = \frac{3.52}{1.6} \times 10^{7 - 3} = 2.2 \times 10^4 \]
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Bytes of Storage per Customer
- Total storage available: \(1.326 \times 10^{13} \) bytes.
- Number of customers: \(2.6 \times 10^4 \).
- Divide total bytes by number of customers: \[ \text{Bytes per customer} = \frac{1.326 \times 10^{13}}{2.6 \times 10^4} = \frac{1.326}{2.6} \times 10^{13 - 4} = 0.51 \times 10^9 = 5.1 \times 10^8 \]
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Neon Tetras in Aquarium
- Gallons for each tetra: \(1.25 \).
- Total gallons in the aquarium: \(1 \times 10^5 \).
- Divide total gallons by gallons per tetra: \[ \text{Tetras} = \frac{1 \times 10^5}{1.25} = 0.8 \times 10^5 = 8 \times 10^4 \]
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Feathers for a Specific Weight
- Weight of one feather: \(0.0082 \) g.
- Desired weight: \(4.1 \times 10^3 \) g.
- Divide total weight by weight of one feather: \[ \text{Feathers needed} = \frac{4.1 \times 10^3}{0.0082} = \frac{4.1}{0.0082} \times 10^{3} = 500 \times 10^{3} = 5 \times 10^5 \]
Final Answers
- \(2.4 \times 10^6\)
- \(2.2 \times 10^4\)
- \(5.1 \times 10^8\)
- \(8 \times 10^4\)
- \(5 \times 10^5\)