Josiah has a mass of 75kgand wants to know how many helium-filled balloons it would take to fly. The density of helium is about 1kg/m^3 less than regular air, which means a cubic meter of helium can lift about 1kg. Fully inflated, a balloon has a diameter of 0.3m and can be modeled as a sphere. He neglects the mass of the balloon in his calculations. nHow mnay balloons would it take to lift a person of 75 kg mass?

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?