Find the standard matrix t for the linear transform t: r^2 --> r^2 such that t first reflects points through the horizontal r1-axis and then reflects points through the line x2 = x1. 4. (3 points) an affine transformation t: r"--> r" has the form t(x) be r". why is t not linear when b 0? ax +b, where a is m xn and

Joe has some money in his bank account he deposits 45$ write an expression that represents the amount of money in joe's account

Ron has 8 caps and 4 of his caps are blue. thes rest of his cap are red. how many of ron's caps are red

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.