Tutor profile: Mathew A.

A car covered 130 miles using 4 gallons of diesel. What distance would the same car cover, under similar conditions, on 6.7 gallons?

The number of miles covered using 1 gallon is given by (130 / 4) = 32.5 miles/gallon Using 6.5 gallons, the car will cover 6.7 * 32.5 = 217.75 miles

How come in free fall you feel weightless even though gravity is pulling down on you?

The reason you feel weightless is because there is no force pushing against you, since you are not in contact with anything. Gravity is pulling equally on all the particles in your body. This creates a sensation where no forces are acting on you and you feel weightless. It would be the same sensation as if you were floating in space.

If x <2, simplify |x - 2| - 4|-6|

If x < 2 then x - 2 < 0 and if x - 2 < 0 then |x - 2| = - (x - 2). Substitute |x - 2| by - (x - 2) and | - 6 | by 6 |x - 2| - 4| -6 | = - (x - 2) - 4(6) = - x - 22