Find the equation of the parabola with its focus at (–5,0) and its directrix y = 2. Question 4 options: A) y = –1∕4(x + 1)2 + 5 B) y = –1∕4 (x + 5)2 + 1 C) y = –4(x + 5)2 + 1 D) y = 1∕4(x + 5)2 + 1

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

How do i start to solve? would appreciate a walk-thru! a bird sitting 16ft above the ground in an apple tree dislodges an apple. after how many seconds does the apple land on the ground? (assuming that no branches will interfere with it's fall)

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =