Please answer all these questions and provide workings and explanations.

2 marks 8. The unit measure for atmospheric pressure is kPa (KiloPascals). At sea level the standard atmospheric pressure is 101.3 kPa. For every 1000 feet increase in altitude, atmospheric pressure decreases by 1.8 kPa. What is the atmospheric pressure at 50, 000 feet? 8) 2 m arks b) 2 marks 25. For what values of x for the geometric series have a sum to infinity? 1 + 3x + 9x2+ 27x+.... (= 3X 3X 1 - 3X 25. 2 marks 26. State the number of terms in each series. a) 2a-3 a =17 a) I mark b + 12 b ) 2 3n - 7 kab b) I mark Page 11 of 12 27. Evaluate: 243 14 - 1 27. 3 marks 28. Evaluate: K= 1 75 ( 2 )"24. A hard rubber ball is dropped from a moving van with a height of 5 metres. The ball rises to 80% of the previous height after each bounce. a) determine the total vertical distance the ball has traveled when it strikes the ground the eighth time. a) 3 marks Page 10 of 12 b) estimate the total vertical distance the ball travels before it comes to rest