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Restrictions on f(x) = 1/x+5 and g(x) = x-2

Evaluate-27 ^4/3/8 a) - 81/16 b) 81/16 c) 16/81

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.