A thunderstorm drops half an inch 1∙0.01 m2 of rain on Washington, DC, which covers an area of about 70 squaremiles 1∙108m22. Estimate the number of raindrops that fell during the storm.

The length and width of a rectangular room are measured to be 3.885 ± 0.0065 m and 3.2 ± 0.0045 m. In this problem you can approximate the error on a product or quotient of quantities by the sum of the percent error on each quantity.Calculate the floor area of the room in square meters.

Calculate the approximate number of board feet (one board foot is defined as a volume of 1 in x 1 ft x 1 ft) of lumber that would be available in a log that has a diameter of 26 cm and a length of 2.4 m. Assume the log is a right cylinder and that the saw mill must make the log into a rectangular prism before cutting it into boards.

(II) Determine the conversion factor between (a) km/h and mi/h,(b) m/s and ft/s,(c) km/h and m/s.

(I) Express the following using the prefixes of Table 1–4: (a)1 x 106 volts,  (b) 2 x 10–6 meters, (c) 6 x 103 days, (d) 18 x 102 bucks, and (e) 7 x 10–7 seconds.

How many significant figures are there in (a) 0.0210, (b) 5.060, (c) 7.10 * 10-4,(d) 1.0 * 105?

(a) How many significant figures are in the numbers 99.0 and 100.0?

(a) Find a conversion factor to convert from miles per hour to kilometers per hour. 1 mi/h = km/h (b) In the past, a federal law mandated that highway speed limits would be 55 mi/h. Use the conversion factor of part (a) to find this speed in kilometers per hour. km/h (c) The maximum highway speed is now 70 mi/h in some places. In kilometers per hour, how much increase is this over the 55 mi/h limit? km/h Need Help? Read It

Here's how gym membership works for a potential customer: If the customer decides to join the gym, she will pay J on day 0. Then, she can use the gym starting the next day for 5 days (1; 2; 3; 4; 5), paying an additional F on each day she visits. If she goes to the gym on any given day, it costs her (10+ F) that day, but beneÖts her 30 the next day. In other words, her "costs" are a sum of her psychic costs (10) and actual Onancial costs (F). Assume that, when indi§erent, the individual will go to the gym. (a) Suppose the potential customer is a standard exponential discounter with a discount factor of = 12. If gym membership was free (i.e. J = 0 and F = 0) would she join the gym? If so, how many days would she actually go? (b) Suppose the gym did not charge a joining fee. How high could it set the usage fee? What would its revenues from this customer be? (c) Suppose instead the gym decided not to charge a usage fee. How high could it set the joining fee? [Hint: To Ögure out the…