Eposition of a submarine relative to the water surface was −32 1/4 feet. a downward navigational maneuver increased its depth by 15 1/2 feet. what is the position of the submarine now relative to the water surface? enter your answer as a mixed number, in simplified form,

What are the vertical asymptotes of the function f(x) =5x+5/x2 + x-2

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?

Identify the number 127 as a rational or irrational. explain