Take log: d × log(1.10) > log(2) → d > 0.3010 / 0.04139 ≈ <<0.3010/0.04139≈7.27>>7.27
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- Solar output after d days: 120 × (1.10)^d
- Wind + hydro combined: 150 + 90 = 240 MWh (constant)
- We solve: 120 × (1.10)^d > 240 → (1.10)^d > 2
- So d = 8 full days.
- A robotics engineer designs a conveyor system where a part travels 1.5 meters per second. It must pass through three stations: inspection (0.8 seconds), calibration (1.2 seconds), and packaging (0.5 seconds). If a new software update reduces inspection and calibration times by 25%, but increases packaging due to added precision, how many meters does the part now travel during its entire fixed trip?
- New inspection time: 0.8 × 0.75 = <<0.8*0.75=0.6>>0.6 seconds
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