In order to keep a malfunctioning satellite from falling into the earth, space agency officials decide to use a powerful rocket. At the time the rocket is attached, the satellite will be traveling with an initial velocity, v0, and for every second that the rocket fires, it will add approximately 180 meters per second to this velocity. In order to ensure safety on earth, the velocity must be increased to at least 3,800 m/s. Also, the rocket can fire for no more than 4 seconds. For the initial velocity of the satellite, v0, which of the following systems of inequalities best models this situation, where t is time, in seconds, after the rocket is first fired?

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What is the slope of the line shown below?

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.