And the vectors ~v1 = ~e1 + ~e3, ~v2 = 2 ~e1, and ~v3 = ~e1 + ~e2 + 5 ~e3 1. (2 points) Find the standard matrix A of the tansformation T. 2. (2 points) Show that β = {~v1, ~v2, ~v3} is a basis of R 3 3. (6 points) Find the β-matrix B of the tansformation T.

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

With this question substitute t=3 and t=5 to determine if the two expressions are equivalent. 4(t + 3) 4t+12 which statements are true? check all that apply. a. the value of both expressions when t =5 is 32. b. the two expressions are not equivalent. c. the value of both expressions when t=3 is 15. d. the value of both expressions when t=5 is 23. e. the two expressions are equivalent. f. the value of both expressions when t=3 is 24.

Mr. thompson is on a diet. he currently weighs 260 pounds. he loses 4 pounds per month. what part of the story makes the relationship not proportional?