Rectangle ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin. What are the coordinates of rectangle A″B″C″D″? A) A″ (5, 1), B″ (1, 1), C″ (1, 4), D″ (5, 4) B) A″ (1, 1), B″ (1, 5), C″ (4, 5), D″ (4, 1) C) A″ (1, –1), B″ (5, 1), C″ (5, –4), D″ (1, –4) D) A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)

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.

David leaves his house to go to school. he walks 200 meters west and 300 meters north. how far is david from his original starting point?

The graph shows the decibel measure for sounds depending on how many times as intense they are as the threshold of sound. noise in a quiet room is 500 times as intense as the threshold of sound. what is the decibel measurement for the quiet room? 20 decibels28 decibels200 decibels280 decibels