The cost of fuel to propel a boat through the water (in dollars per hour) is proportional to the cube of the speed v. a certain ferry boat uses $100 worth of fuel per hour when cruising at 10 miles per hour. apart from fuel, the cost of running this ferry (labor, maintenance, and so on) is $3125 per hour. (a) find the proportionality constant for the cost of the fuel per hour. do not round your answer.

Do social recommendations increase ad effectiveness? a study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media recommendation link to viewers who arrived at the same video by web browsing. data were collected on whether the viewer could correctly recall the brand being advertised after seeing the video. the results are given below. correctly recalled the brandarrival 409153browsing20484b. conduct the hypothesis test, using the 0.025 level of significance. what is the value of the test statistic? χ2stat=what is the p-value? p-value=is this value significant atα=0.025?

Find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

Find the rate at which the water is now flowing from the tap give your answer cubic centimetres per second