An arch of a bridge over a highway is semi-elliptical in shape and 42 ft. across. the highest point of the arch is 14 feet above the highway. what is the maximum height, to the nearest inch, of a truck 8ft wide that can fit under the arch?

Your vet has placed your pet on a diet. the diet is to contain at least 12 mg of fat and at least 14 mg of protein per serving. these requirements are to be obtained from two food sources. source a contains 2 mg of fat and 2 mg of protein per serving. source b contains 1 mg of fat and 3 mg of protein per serving. if source a sells for $1.28 per serving and source b sells for $1.12 per serving, how many servings of each type should be purchased to satisfy the requirements at minimal cost?