Gold is special not just for its looks, but also its properties. Just 3 g of gold can be beaten out to form 1m2 of gold leaf approximately 1.8 x 10-7m thick. By comparison, a US dime has a thickness of approximately
1.35 x 10-3m. How many sheets of gold leaf would you need to create a stack the same height as the dime?

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?