If the demand equation (in dollars) for a certain commodity is p = 55/ln x, where x represents the number of units of the commodity, determine the marginal revenue function for this commodity, and compute the marginal revenue when x = 20. What is the marginal revenue function for this commodity? R' (x) = (Use integers or decimals for any numbers in the expression.) What is the marginal revenue when x = 20? R' (20) = (Round to the nearest whole number as needed.)

The graph of f(x)=|x| is reflected over the y-axis and horizontally compressed by a factor of 1/9. write a formula for function g(x)

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?

92ft long and 48 wide resurface 2.75$