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The decay factor per decade is 1 - 0.131 = 0.869.
On screen, 100 pixels = 1000 m, so 1 pixel = 10 m.
A cartographer overlays a triangular park on a mobile map with vertices at (1,2), (5,6), and (8,2) in kilometers. Use the coordinate formula for area to find the real area in square kilometers.
A climatologist finds that the frequency of Category 4+ hurricanes has increased from 2 per decade in 1980 to 5 per decade in 2020. What is the average annual rate of increase in frequency over this 40-year period?
Total increase = 5 - 2 = 3 per decade.
A cartographer designs a zoom system where each level doubles the linear scale of detail. Starting from 1:1,000,000 at level 0, what is the scale at zoom level 7, expressed in 1:X?
#### 300A seismologist records 4 earthquakes with magnitudes of 3.2, 4.5, 5.1, and 4.8 on the Richter scale. If the energy released increases by a factor of approximately 32 for each whole number increase, and each unit increase multiplies the energy by 32, how many times more energy was released by the strongest quake compared to the weakest?
The weakest quake is magnitude 3.2, strongest is 5.1, a difference of 5.1 - 3.2 = 1.9 units.
Thus, the strongest quake released about 724 times more energy than the weakest.
A primatologist observes a troop of 120 monkeys. 30% are juveniles, and the rest are adults. If 20% of the adults are dominant males and each dominant male interacts socially with 8 other individuals daily, while juveniles interact with 5 on average, what is the total number of daily social interactions recorded, assuming each interaction is counted once per pair?