Two mechanics worked on a car. The first mechanic charged \$65 per hour, the second mechanic charged \$80 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a...

Solve the following trigonometric equations   (a) 2 cos θ +√3 = 0, 0 ≤ θ ≤ 2π     (b) tan x = √2sinx, 0 ≤ x ≤ 2π   (c) sec 2 x−1 = 0, 0 ≤ x...

The period of a pendulum is the time required for it to make one complete swing back and forth. The formula of the period P of a pendulum is P = 2(pi) times the square root of l over 32, where l is...

The formula for the kinetic energy of a moving object is E = 1/2mv, where E is the kinetic energy in joules, m is the mass in kilograms, and v is the velocity in meters per second.   1-...

The larger of two numbers is two more than three times the smaller.And when the larger number is subtracted from the smaller, the result is -16. What are the two numbers.

Tyler starts walking at 2 miles per hour. An hour later, Nadine starts jogging along same route at 6 miles per hour. How long will it take Nadine to catch up with Tyler?

Define a variable and write a verbal model and an equation.  Then solve the equation and check the solution using substitution   The enrollment at the University of Texas, Austin,...

how do i solve this problem?

I don't know the most effective way to do this problem, how do you do it not by guess and check?