Radio tower M 2 is located 200 miles due west of radiotower M 1 . The situation is illustrated in the figure shown, where a coordinate system has been superimposed. Simultaneous radio signals are sent from each tower to a ship, with the signal from M 2 received 500 microseconds before the signal from M 1 . Assuming that radio signals travelat 0.186 mile per microsecond, determine the equation of thehyperbola on which the ship is located.
Radio tower M 2 is located 200 miles due west of radiotower M 1 . The situation is illustrated in the figure shown, where a coordinate system has been superimposed. Simultaneous radio signals are sent from each tower to a ship, with the signal from M 2 received 500 microseconds before the signal from M 1 . Assuming that radio signals travelat 0.186 mile per microsecond, determine the equation of thehyperbola on which the ship is located.
Solution Summary: The author calculates the standard equation of a hyperbola: ca2a=500times 0.186
Radio tower M2 is located 200 miles due west of radiotower
M
1
. The situation is illustrated in the figure shown, where a coordinate system has been superimposed. Simultaneous radio signals are sent from each tower to a ship, with the signal from M2 received 500 microseconds before the signal from
M
1
. Assuming that radio signals travelat 0.186 mile per microsecond, determine the equation of thehyperbola on which the ship is located.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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