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In: Advanced Math

According to modern​ science, Earth is about 4.5 billion years old and written human history extends...

According to modern​ science, Earth is about 4.5 billion years old and written human history extends back about​ 10,000 years. Suppose the entire history of Earth is represented with a 10​-meter-long ​timeline, with the birth of Earth on one end and today at the other end. a. What distance represents 1 billion​ years? b. How far from the end of the timeline does written human history​ begin?

A certain antihistamine is often prescribed for allergies. A typical dose for a 100​-pound person is 19 mg every six hours. Complete parts​ (a) and​ (b) below. a. Following this​ dosage, how many 12.4 mg chewable tablets would be taken in a​ week? b. This antihistamine also comes in a liquid form with a concentration of 12.4 ​mg/8 mL. Following the prescribed​ dosage, how much liquid antihistamine should a 100​-pound person take in a​ week?


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