1. consider the following game, called matching pennies, which you are playing with a friend. each of you has a penny hidden in your hand, facing either heads up or tails up (you know which way the one in your hand is facing). on the count of "three," you simultaneously show your pennies to each other. if the face-up side of your coin matches the face-up side of your friend’s coin, you get to keep the two pennies. if the faces do not match, your friend gets to keep the pennies. (lo1) a. who are the players in this game? what are each player’s strategies? construct a payoff matrix for the game. b. does either player have a dominant strategy? if so, what? c. is there an equilibrium? if so, what? frank, robert. principles of microeconomics (p. 259). mcgraw-hill higher education. kindle edition.

2÷6+1/2 to the second power plus one

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.