24. Simplify and express your answer in exponential form. Assume x > 0, y > 0. xty? 4 3.2 æl/3 x16/3,4 x8/3 x13/4y3/2 Back Pin

A 12.5-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the number of hours that have elapsed since the candle was lit. a. Write an expression in terms of t that represents the number of inches that have burned from the candle since it was lit. I=12.5-1.2t * Preview b. Write an expression in terms of t that represents the remaining length of the candle (in inches). * Preview c. Determine if the following statements are true or false. Select an answer * The number of inches that have burned from the candle is proportional to the amount of time since the candle has been burning. o Select an answer * The remaining length of the candle is proportional to the amount of time since the candle has been burning. Select an answer * The change in the candle's height is proportional the amount of time since the candle has been burning.

Find the value of log 611• log 1116 • log 1621• log 21 26 • log 2631• log 3136.

Determine the value of the constant k, such that 8 4 Sdx = 1.90038. 2x-1 k Give your answer correct to 3 decimal place. k=