Suppose the high tide in seattle occurs at 1: 00 a. m. and 1: 00 p. m. at which time the water is 16 feet above the height of low tide. low tides occur 6 hours after high tides. suppose there are two high tides and two low tides every day and the height of the tide varies sinusoidally.

(a) find a formula for the function y = h(t) that computes the height of the tide above low tide at time t, where t indicates the number of hours after midnight. (in other words, y = 0 corresponds to low tide.)

h(t) =

(b) what is the tide height at 11: 00 a. m.?

ft

Aflask with vinegar in it has a mass of 160 grams. a balloon with baking soda in it has a mass of 40 grams. the balloon is attached to the flask to seal the opening and the vinegar and baking soda mixes. the balloon inflates to a large volume. what will the total mass of the balloon and flask be after the balloon inflates? explain. a) less than 200 grams because the solid baking soda disappears. b) 200 grams, because all the atoms remain in the balloon or flask. c) more than 200 grams because the size of the balloon is so much larger. d) less than 200 grams because gases such as the one in the balloon are lighter than solids and liquids.