NewTrier Varsity 2006 Round 2, Page 3 Bonus 3: Math (Algebra) Simplify the folowing complex numbers. Al your answers should be in a + b i form. A: The quantity 2 + 2 root 3 i, close quantity,to the sixth power. B: The quantity 1 + 7 i divided by the quantity 3 + i. C: The quantity 2 + i times the quantity 1 + 6i. D: The quantity 1 - i, quantity squared. Answers: A: 4096 + 0iB: 1 + 2i C: - 4 + 13i D: 0 - 2i Tossup 4: Science (Astronomy) After al of a star's hydrogen is fused into helium, they expel their outer material and al that remains is these hot cores. A milion times more dense than the sun, they cannot weigh more than 1.4 solar masses,the Chandrasekhar limit, because abovethat mass they wil instead colapseas neutron stars or explode as supernovas. Name these bright dense stars, a category to which Happy and Grumpy also belong. Answer: White dwarf stars (prompt dwarf) Bonus 4: Literature (Literature) Identify the Arthur Miler playfrom a description. A: Eddie Carbone harbors ilegal immigrants, who are also his wife's relatives, in this play. B: This play is about the title character, WilyLoman,and his delusional faith in the American dream. C: Abigail Wiliams and John Proctorare characters in this play set during the Salem witch trials. D: The Keler and Deever families are prominent in this play about a businessman who sold broken airplane parts to the government during World War I. Answers: A: A View from the Bridge B: Death of a SalesmanC: The Crucible D: Al My Sons Tossup 5: Social Studies (Curent Events) In 1998he was detained in Britain because the Spanish wanted to extradite him forhis role in torturing Spanish citizens during his reign.In 2001, back in his home country, he had his immunity taken from him, though hewas eventualydeemed unfit for defending himself incourt. He was connected to Operation Columbo,in which many leftists simply disappeared. That event occured in 1975, two years after his takeover of Salvador Alende's government. Name this former Chilean dictator who died on December 10, 2006. Answer: Augusto Pinochet Ugarte Bonus 5: Science (Biology) Given the name of a disease caused by a vitamin deficiency,give the deficient vitaminthat causes it. A: Night-blindness B: Beriberi (BERRY-BERRY) C: Scurvy D: Rickets Answers: A: Vitamin A (accept retinol) B: Vitamin B1 (accept thiamine, prompt on "B") C: Vitamin C (accept ascorbicacid) D:Vitamin D Tossup 6: Math (General) An unusual one is Knuth's(kuh-NOOTH's) quater-imaginary one using 2i, which is capable of expressing al complex numbers with the digits 0, 1,2, and3. More typical integral ones are able to express al real numbers withthe same number of distinctdigits. Name this generalized type of positional number system,often used with sixteen for hexadecimal, two for binary, or most commonly, ten for decimal. Answer: Number base (accept radix) Aegis Questions © 2006 htp:/www.aegisquestions.com/