Average speed and average velocity
A car travels at 60 mph east for 20 min then at 30 mph north for 30 min. Determine the average speed and average velocity?
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Provide examples of 2 × 2 matrices such that A, B are invertible but A + B is not.
Kathy charges $7.50 per hour to mow lawn Sharon charges 1.5 times as much to do the same job. How much does Sharon charge to mow a lawn?
Jack has two jobs, his annual income from first job being $37,600 and that of second job being $9,400. Write down the relation of the second income to the first in ratio format.
A plane flys 2400 miles one way and takes 4 hours, then fly's back the same manner and takes an hour and half longer. Determine the speed of the plane in still air and what is the wind speed?
Two seconds after firing the rifle at the target, the shooter hears the impact of the bullet. Sound travels at 1100 feet per second and the bullet at 1865 feet per second. Find out the distance to the target.
A rectangular box has square base with area of 9 square feet. If the volume of the box is 36 cubic feet, what is the length of the longest object that can fit in the box?
Assume that U and V are isomorphic vector spaces. Prove that there're infinitely many isomorphisms between U and V?
Assume the counts recorded by Geiger counter follow Poisson process with the average of two counts per minute. Round the answers to 3 decimal places.
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