1. an empty baby pool is filled at a constant rate of 6 gallons per minute. the baby pool will hold 33 gallons of water when full. the volume, v, of water in the baby pool is a function of t, the time in minutes. which is the best description for the domain of the function v? hint: when will the baby pool fill up with water? (it only holds 33 gallons) 1points a all values between 0 and 5.5 b all values 0 and greater c all values between 0 and 32 2. a frozen yogurt shop charges $4.00 for a bowl of yogurt and $0.25 for each topping. if the total charge for yogurt is dependent on the base price of the bowl of yogurt plus the number of toppings added, what is the value of y at the y-intercept of the line representing this situation? use the equation y = 0.25x +4. what is the y-intercept? a $0.25 b $3.75 c $4.00 3. ethan is a professional videographer. it costs him $900 each month to operate his videography studio. ethan's monthly profit, p, can be found by the function p = 350x - 900, where x is the number of videography packages he sells. on the graph of this function, what does the x-intercept represent? hint: the x-intercept indicates p=0 (there is no profit). what does this mean for ethan's studio? a the monthly minimum number of videography packages ethan must sell to pay for his studio b the price of each video that ethan sells c the amount ethan pays for this videography studio

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.

Table which ratio is equivalent to 3: 7? 6: 7 3: 21 24: 56 15: 30

The complement of an angle is one-sixth the measure of the supplement of the angle. what is the measure of the complement angle?