NewTrier Varsity 2006 Round 4, Page 8 Bonus 16: Math (Algebra) Solve the folowing equationsfor x. A: 2 to the quantity x + 4, equals 8 to the quantityx - 1. B: 2 to the x equals 5 to the x. C: x squared - 6 x + 9 = 0. D: In radians, the smalest positivesolution of sineof x equals cosine of x. Answers: A: x = 7/2 (3.5) B: x = 0 C: x = 3 D: x = pi/4 Tossup 17: Science (Biology) It requires calorimetry to measure directly, though Haris and Benedict derived equations to approximate it. For a typical Scholastic Bowl player, itmight be somewhere around 1600 kilocalories per day. Regulated by the hypothalamus, much of itpowers the liver and brain. Namethis measurement of energy expenditure not including the sympathetic nervous division, the minimum number of calories necessaryto maintain bodily processes. Answer: Basal metabolism rate (accept BMR,accept resting metabolism rate (RMR), prompt on metabolism rate) Bonus 17: Literature (Literature) Given the name of a trilogy, name the author. Some of them are considered trilogies even though additional books have been writen. A: The Foundation Trilogy B: The Nova Trilogy C: The USA Trilogy D: The VALIS Trilogy Answers: A: Isaac AsimovB: Wiliam Seward Buroughs I C: John dos Passos D: Philip Kindred Dick Tossup 18: Math (Calculus) - Computational (30 Seconds) Find the average value of thesine of x plus the cosine of x,from xequals zero to x equals pi.To solve this problem, remember that the average value of a continuous function can be found by dividing the definite integral over the length of the interval. Answer: 2/pi Bonus 18: Social Studies (U.S. History) Given a description, identifythe famous assassin. A: This man was on a mission to kil the seven most powerful rulers in the world; however, he wasn't able to kil anyone else after Wiliam McKinley. B: This Palestinianimmigrant became famous when, at the Ambassador Hotel, he shot Robert Kennedy. C: This man, who couldn't obtain a government job,shot James Garfield at a train station. D: There has beenmuch debate overwhether this man acted alone; however, there wasn't much time to ask him as Jack Ruby shot him on November 24th, 1963. Answers: A: LeonCzolgosz(CHO-guh-loash; accept reasonable pronunciations) B: Sirhan Bishara Sirhan C: Charles J. Guiteau D:Lee HarveyOswald Aegis Questions © 2006 htp:/www.aegisquestions.com/