Adisplay has 6 packs of marbles with a total mass of 629g. the packaging of each pack has a mass of 2/3g and each marble has a mass of 4 1/2g. which equation can we use to determine m, the number of marbles per pack? a.6x4 1/2m+2/3=629 b.6m(4 1/2+ 2/3)=629 c.6m+4 1/2 +2/3)=629 d.6(4 1/2m +2/3)=629

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe

Elm street is straight. willard's house is at point h between the school at point s and the mall at point m. if sh = 3 miles and hm = 4.5 miles, what is the value of sm in miles?