Three science classes go on a field trip to an observatory. The classes spend $75, $54, and $96 for student admission. Find the greatest possible student admission price for the observatory. Just write your answer as a number do not use a dollar sign or any decimals.

An objects motion is described by the equation d= 4sin (pi t) what will the height of the object be at 1.75 seconds?

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)

Prove sin2a + cos2a - 1 / sin2a + cos2a + 1 = 1 - tana / 1 + cota