Find the exact value for the expression under the given conditions. Write your answer in simplest form. Rationalize the denominator, if necessary. tan(a-B);sin a= (3/5) for a in Quadrant II and cosB= (-8/17)for B in Quadrant III.

Eric has challenged himself to walk 24,000 steps in 4 days. if eric walks the same number of steps each day, which function represents the number of steps eric still needs to walk to reach his goal with respect to the number of days since he started his challenge? a. y = 8,000x − 24,000 b. y = -8,000x + 24,000 c. y = 6,000x − 24,000 d. y = -6,000x + 24,000

Do some research and find a city that has experienced population growth. determine its population on january 1st of a certain year. write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential growth. describe the variables and numbers that you used in your equation.

What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3