Transcript Jeopardy
Powers, Roots, & Radicals Rationals Conics, Sequences, & Series Probability & Statistics Potpourri 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Powers, Roots, & Radicals Rationals Conics, Sequences, & Series Probability & Statistics Potpourri 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Powers, Roots, & Radicals - $100 For which of the following functions is f (−3) < f (3)? (A) f x 4 x 2 (B) f x 4 4 (C) f x x (D) f x 4 x 3 (E) f x x 4 4 Powers, Roots, & Radicals - $100 Answer D f x 4 x 3 Powers, Roots, & Radicals - $200 If 8 k 15, then k ? Powers, Roots, & Radicals - $200 Answer 49 Powers, Roots, & Radicals - $300 If a, b, and c are different positive integers and 2 2 2 64, then a b c 2 2 2 ? a b c Powers, Roots, & Radicals - $300 Answer 14 Powers, Roots, & Radicals - $400 If a and b are positive integers 1 6 3 and a b =432, what is the value of ab ? 1 2 Powers, Roots, & Radicals - $400 Answer 12 Powers, Roots, & Radicals - $500 If m and k are positive and 2 10m k m 1 1 100m, what is in terms of k? Powers, Roots, & Radicals - $500 Answer 1 10k Rationals - $100 If 2r 5s and 5s 6t, what does r equal in terms of t? Rationals - $100 Answer 3t Rationals - $200 If x is an integer greater than 1 and if 1 y x , which of the following must be true? x I. y x II. y is an integer III. xy x 2 Rationals - $200 Answer I and III only Rationals - $300 If a 2b is equal to 125 percent a of 4b, what is the value of ? b Rationals - $300 Answer 3 Rationals - $400 The total daily cost c, in dollars of producing x units of a certain product is given by the function 600 x 200 c x k , where k is a constant and x x 100. If 20 units were produced yesterday for a total cost of $640, what is the value of k ? Rationals - $400 Answer 50 Rationals - $500 The force required to stretch a spring beyond its natural length is proportional to how far the spring is being stretched. If a force of 15 pounds stretches a spring 8 centimeters beyond its natural length, what force, in pounds, is needed to stretch this spring 20 centimeters beyond its natural length? Rationals - $500 Answer 37.5 Conics, Sequences, & Series - $100 In the xy-plane, the center of a circle has coordinates (3,−7). If one endpoint of a diameter of the circle is (−2,−7), what are the coordinates of the other endpoint of this diameter? Conics, Sequences, & Series - $100 Answer (8,−7) Conics, Sequences, & Series - $200 What 2 numbers should be placed in the blanks below so that the difference between consecutive numbers is the same? 17, _____, _____, 41 Conics, Sequences, & Series - $200 Answer 25, 33 Conics, Sequences, & Series - $300 The depth of a pond is 180 cm and is being reduced by 1 cm per week. The depth of a second pond is 160 cm and is being reduced by ½ cm per week. If the depths of both ponds continue to be reduced at these constant rates, in about how many weeks will the ponds have The same depth? Conics, Sequences, & Series - $300 Answer 40 Conics, Sequences, & Series - $400 A circle in the standard (x, y) coordinate plane is tangent to the x-axis at 5 and tangent to the y-axis at 5. What is an equation of the circle? Conics, Sequences, & Series - $400 Answer x 5 2 y 5 25 2 Conics, Sequences, & Series - $500 On his first day as a telemarketer, Marshall made 24 calls. His goal was to make 5 more calls on each successive day than he had made the day before. If Marshall met, but did not exceed, his goal, how many calls had he made in all after spending exactly 20 days making calls as a telemarketer? Conics, Sequences, & Series - $500 Answer 1,430 Probability & Statistics - $100 If a marble is randomly chosen from a bag that contains exactly 8 red marbles, 6 blue marbles, and 6 white marbles, what is the probability that the marble will NOT be white? Probability & Statistics - $100 Answer 7 10 Probability & Statistics - $200 The median of a set of 9 consecutive integers is 42. What is the greatest of these 9 integers? Probability & Statistics - $200 Answer 46 Probability & Statistics - $300 In a poll, 35 people were in favor of building a new library, 14 people were against it, and 1 person had no opinion. What fraction of those polled were in favor of building a new library? Probability & Statistics - $300 Answer 2 3 Probability & Statistics - $400 *Daily Double!* A list of numbers consists of p positive and n negative numbers. If a number is picked at random from this list, the probability that the number is 3 n positive is . What is the value of ? 5 p Probability & Statistics - $400 Answer 2 3 Probability & Statistics - $500 If the average (arithmetic mean) of x and y is k, Which of the following is the average of x, y, and z? 2k z 3 2k z (B) 2 kz (C) 3 2k z (D) 2 2 k z (E) 3 (A) Probability & Statistics - $500 Answer 2k z (A) 3 Potpourri - $100 If f x x 1, then 2 f x h ? Potpourri - $100 Answer x 2 xh h 2 2 2 Potpourri - $200 What is the matrix product a 2a 1 0 1 ? 3a Potpourri - $200 Answer a 0 a 2a 0 2a 3a 0 3a Potpourri - $300 In the complex numbers, where i 1, 2 1 1 i ? 1 i 1 i Potpourri - $300 Answer 1i 2 Potpourri - $400 What is a value of x that satisifies log x 36 2 ? Potpourri - $400 Answer 6 Potpourri - $500 If the volume of a cube is 8, what is the shortest distance from the center of the cube to the base of the cube? Potpourri - $500 Answer 1 Final Jeopardy Category: Logarithms Final Jeopardy Question If log a x s and log a y t , then log a xy ? 2 Final Jeopardy Answer 2s t