Mrs. Peterson, a second-grade teacher, put marbles in the marble jar every day if the students behaved well. Every day she doubled what she put in the day before. If the students behaved well all week, and Mrs. Peterson put one marble in the jar on Monday, how many marbles would be in the jar on Friday?

An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18° relative to the horizontal. the wind is blowing with a velocity of 42 miles per hour at an angle of s47°e. find a vector that represents the resultant velocity of the plane relative to the point of takeoff. let i point east, j point north, and k point up.