An explosion is recorded by two forest rangers, one at a primary station and the other atan outpost 6 kilometers away. The ranger at the primary station hears the explosion 6 seconds before the ranger at the outpost. a. Assuming sound travels at 0.35 kilometer per second, write an equation in standard form that gives all the possible locations of the explosion. Use a coordinate system with the two ranger stations on the x-axis and the midpoint between the stations at the origin. b. Graph the equation that gives the possible locations of the explosion. Show the locations of the ranger stations in your drawing.
An explosion is recorded by two forest rangers, one at a primary station and the other atan outpost 6 kilometers away. The ranger at the primary station hears the explosion 6 seconds before the ranger at the outpost. a. Assuming sound travels at 0.35 kilometer per second, write an equation in standard form that gives all the possible locations of the explosion. Use a coordinate system with the two ranger stations on the x-axis and the midpoint between the stations at the origin. b. Graph the equation that gives the possible locations of the explosion. Show the locations of the ranger stations in your drawing.
Solution Summary: The author explains the equation in the standard form that describes the possible points of explosion when the distance between the two rangers is 6km.
An explosion is recorded by two forest rangers, one at a primary station and the other atan outpost 6 kilometers away. The ranger at the primary station hears the explosion 6 seconds before the ranger at the outpost. a. Assuming sound travels at 0.35 kilometer per second, write an equation in standard form that gives all the possible locations of the explosion. Use a coordinate system with the two ranger stations on the x-axis and the midpoint between the stations at the origin. b. Graph the equation that gives the possible locations of the explosion. Show the locations of the ranger stations in your drawing.
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.
4. In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions.a) Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuousb) Was this an observational study or an experimental study? Explain your answer
Find the perimeter and area
Assume {u1, U2, us} spans R³.
Select the best statement.
A. {U1, U2, us, u4} spans R³ unless u is the zero vector.
B. {U1, U2, us, u4} always spans R³.
C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set.
D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³.
OE. {U1, U2, 3, 4} never spans R³.
F. none of the above
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