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21. In each of the cases presented, a value of some desired quantity has been de

ID: 2074912 • Letter: 2

Question

21. In each of the cases presented, a value of some desired quantity has been determined. Round each number to a reasonable number of significant digits-up if a higher value is conservative, down if a lower value is conservative, and to the nearest value if doesn't make a difference. (5 pts) a. 2.71 gallons; amount of paint needed to paint a room b. 1, 847.9 miles; the distance from Boston to Houston to estimate the amount of money you will need to buy gas 1,613 lumens; the brightness of a light bulb $20,144.52; cost of tuition and books, room and board at college this year. c. d. b. C. In each of the next question, estimate the value. Write all assumptions and information needed to arrive at a reasonable answer. List all variables. (5 points each) 22. How many toothpicks can be made from a 12 foot long 2X6 inch board? toothpicks 23. A cubic meter of air has a mass of about 1.2 kilograms. What is the total mass of air in your home? _kg 24. The water level of a 5 acre pond is 3 feet below normal. To completely fill the pond with a water hose connected to a faucet at your house, how long would it take to fill the pond? List completely the information needed to estimate this? estimated time. 25. How many carrots are used to make all of the canned soup consumed in the United States in one year? How many acres are used to grow these carrots? carrots acres

Explanation / Answer

21.a 3 gallons....higher than the estimated value will be the conservative value in this case.

b. 1848 miles......a higher value will be the conservative value .

c. 1610 lumens is the conservative answer because illumination will always be less than estimated.

d. $20145 will be the conservative value for expenditure.

22. Surface area of one toothpick is required variable.

23. Volume of house in needed to calculate the mass of air.

24. Volume flow rate of pump is required to calculate the time required to fill the pond.

25. No. of carrots required for 1 canned soup

Total no of canned soup consumed in US

Yield of 1 acre land i.e no of carrots that can be grown in 1 Acre land.

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