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Name Student ID # Class Section Instructor Math 1030 Spring 2010 EXAM Dept. Use Only Exam Scores Problem Points Score 1. 20 2. 20 3. 20 4. 20 5. 20 TOTAL Show all your work and make sure you justify all your answers. Math 1030 Exam 1. A study found that of 100 students, 10 only eat lunch, 25 only eat dinner, 10 students ate all 3 meals, there are twice as many students who eat breakfast and dinner compared to lunch and breakfast. We know the number of students who eat lunch and dinner only and lunch and breakfast is 10 while the number of students who eat only lunch and dinner and the students who only eat breakfast and dinner is 20. (a) Draw a Venn diagram to illustrate this information. (b) How many students eat only lunch and breakfast? (c) How many students eat ate breakfast. 1 2. Do the following problems (a) In Europe gas costs 5 euros per liter how much does it cost in dollars per gallon. (b) Suppose that a woman has 4.2 liters of blood and she quickly consumes 15 grams of alcohol. What would her Blood alcohol content be if all the alcohol was absorbed into her blood immediately? (c) Convert 4 cubic feet to cubic yards, and pico meters (leave your answer in scientic notation). 2 3. Do the following problems (a) Simplify the following expression: ( xx3y3y41 )4 (using only positive exponents in your answer). (b) Solve the equation for x: 3x 4 3 1 = 43x . 4. Do the following problems (a) You burn 100 calories riding your bike how long can you conjoule , tinuously run a 100 watt light bulb? Recall(1watt = 1 second 1calorie 4148joules.) (b) Use a venn diagram to determine the validity of the following: Premise(1): People who study 12 hours for their exam get a good grade on their exam. Premise(2): Dylan did not study 12 hours for his exam. Conclusion: Dylan did get a good grade on his exam. 4 5. A coal power plant can generate one gigawatt of power. Burning one gram of coal yields 450 kilowatt hours of energy. How much energy in kilowatt hours can the plant generate each month? How much coal is needed to power the powerplant and how many homes can the plant supply with energy if the average home uses 1000 kilowatt-hours of energy each month. 5