Apilot flies her route in two straight-line segments. the displacement vector a for the first segment has a magnitude of 260 km and a direction 30.0o north of east. the displacement vector b for the second segment has a magnitude of 179 km and a direction due west. the resultant displacement vector is r = a + b and makes an angle θ with the direction due east. using the component method, find (a) the magnitude of r and (b) the directional angle θ

What is the remainder when 2872 is divided by 76? a) 51 b) 57 c) 60 d) 63

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.

Cameron indoor stadium at duke university is one of the most revered sites in all of college basketball, as well as in all of sports period. duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. cameron indoor stadium is capable of seating 9,460 people. for each game, the amount of money that the duke blue devils’ athletic program brings in as revenue is a function of the number of people in attendance. if each ticket costs $45.50, find the domain and range of this function.