A model rocket is launched with an initial velocity of 160 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by h = −16t2 + 160t. How many seconds after launch will the rocket be 350 ft above the ground? Round to the nearest hundredth of a s...
state the amplitude, period, frequency, phase shift and vertical shift of each function, Then graph two periods of the function of: 1) y=3 sin(x-pie/4) 2) y=0.25cosx+3
A car enters the freeway with a speed of 5 . 6 m/s and accelerates uniformly for 3.6 km in 2.7 min. How fast is the car moving after this time? Answer in units of m / s
how many moles of excess reactant are present when 3.20 x 10^2 mL of 0.226 M sulfuric acid reacts with 0.531 L of 0.185 M sodium hydroxide to form water and aqueous sodium sulfate
Math - Advanced Functions
the function f(x)=-0.005x^2+0.8x+12 models the relationship between a certain vehicle's speed and a fuel economy, where f(x) is the fuel economy in kilometres per litre and x is the speed of the vehicle in kilometres per hour. Determine the rate of change in fuel economy f...
The rate of auto thefts triples every 6 months. (a) Determine, to two decimal places, the base b for an exponential model y = Ab^t of the rate of auto thefts as a function of time in months. b = (b) Find the doubling time to the nearest tenth of a month. months
Water flows into a swimming pool at the rate of 5 . 25 gal / min. If the pool dimensions are 33 . 8 ft wide, 40 ft long and 11 . 1 ft deep, how long does it take to fill the pool? (1 gallon = 231 cubic inches) Answer in units of min
You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $9 per guest and averaged 165 guests per night. The next week you charged $10 per guest and averaged 150 guests per night. (a...
3 robots go out to lunch. They decide to share the $11.91 bill evenly. How much does each robot pay? Equation: 3x = 11.91 #1. What does x represent? #2. Solve for x. #3. Answer the question.