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#### \(\frac{1}{22}\)Question: An AI ethics investigator is analyzing a dataset containing 84 biased algorithm records and 126 unbiased records. What is the greatest common factor of 84 and 126?
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#### 1649A primatologist observes that a group of chimpanzees uses a total of 240 gestures over 5 days to communicate socially. On each day, the number of gestures increases by 10% from the previous day. How many gestures were used on the first day?
\( x + 1.1x + (1.1)^2x + (1.1)^3x + (1.1)^4x = 240 \)
\( x(1 + 1.1 + 1.21 + 1.331 + 1.4641) = 240 \)
\( 1 + 1.1 + 1.21 + 1.331 + 1.4641 = 6.1051 \)
\( x = \frac{240}{6.1051} \approx 39.32 \)
\( x \approx 39 \)