Consider two integers a, b € Z such that ged(a, b) = 1. Show that the map o: Z/(a) → Z/(a), ñ→ bn, is an isomorphism.

Q4: Mr. Iqbal Al Hinai works in Alibaba Digital Store, Muscat. He is paid 4.5 OMR per hour. Ms. Rawan works in Omantel Retail Store and she is paid 5 OMR per hour and both of them are eligible for overtime (time-and-a-half pay). Both are supposed to work minimum 7 hours per day and 35 hours per week. If they work less than 7 hrs per day or 35 hrs per week, they will be paid 4 OMR per hour for that week. Last month Mr. Iqbal worked for 37 hrs, 38 hrs 41 hrs and 32 hrs per week while Ms. Rawan worked for 34 hrs, 32 hrs, 31 hrs and 35 hrs per week. a) How much gross pay Mr. Iqbal and Ms. Rawan would receive for the last month? b) If Ms. Rawan had been paid monthly salary, she would have earned more. Give reasons to your answer.

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solve the perfect square  s^2+2.067s+7.6