You have recently been promoted to general manager at creekview lodge, a 50 room hotel in gatlinburg, tennessee. you started working at the lodge in high school in the restaurant and after college, returned to creekview as one of the assistant managers before being promoted to hotel manager. recently, a 200-room hotel opened not far from creekview lodge, and although creekview still maintains near 100% capacity there has been quite a bit of turnover. more than ten employees left to work for the larger hotel which boasted higher pay and better health insurance. you were informed this morning by the front desk team that the latest customer survey results show a drop in the satisfaction rating for guest room cleanliness. the current report indicates that 73% of guests responded "completely satisfied", 12% responded "satisfied", 10% responded "neither satisfied nor unsatisfied", and 5% responded "unsatisfied." the housekeeping staff lost four employees to the new hotel, so although disappointed, you aren’t surprised by this news. still, you could not remember a time that the hotel had received such a low satisfaction rating.

1. a right triangle is graphed on a coordinate plane. find the length of the hypotenuse. round your answer to the nearest tenth. 2. use the angle relationship in the figure below to solve for the value of x. assume that lines a and b are parallel and line c is a transversal.

Use the discriminant to describe the roots of each equation. then select the best description. 2m2 + 3 = m double root real and rational roots real and irrational roots non-real roots

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.