A 20 meter ladder rests vertically against the side of a barn. A pig that has been hitched to the ladder starts to pull the base of the ladder away from the wall at a constant rate of 0.4 meters per second. Find the rate of change of the height of the top of the ladder after 30 seconds.

F(x)= 1/x-4, g(x)=4x+1/x a. use composition to prove whether or not the functions are inverses of each other. b. express the domain of the compositions using interval notation.

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

The final cost of a sale is determined by multiplying the price on the tag by 75%. which best describes the function that represents the situation?