Enter your answers to questions about linear expressions in the boxes. the number of terms in the expression 2x−72x−7 is . the constant in the expression −7x 3−7x 3 is . the coefficient in the expression −x5 2−x5 2 is . the factors of the first term in the expression 7x9−57x9−5 are and . the second term in the expression 4x−784x−78 is . a sea turtle swims at a speed of 27 kmh. a girl swims 14 dm per s. how much faster does the sea turtle swim than the girl in meters per minute? 1 m = 10 dm 1000 m = 1 km enter your answer in the box. mmin a population of bacteria, b, over a given amount of time, t, is modeled by the expression b(1−r)tb(1-r)t . note: r represents percentage rate as a decimal what does each factor in the expression represent? select each correct answer. (1−r)(1-r) represents a growth of the bacteria population (1−r)(1-r) represents a decay of the bacteria population b represents the initial amount of bacteria in the population b represents the amount of bacteria at a given time

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.