WILL GIVE A LOT OF POINTS A man has 100 light switches in his house which are numbered from 1 to 100. One night he goes through every switch and turns it on. Then he goes around a second time and turns every other switch (2,4,6,8) off. Then he goes around a third time and turns every third switch off if it is on and on if it is off. Then he goes around and flips every foruth switch and so on. How many lights are left on after the 100th time?

Look at the hyperbola graphed below. the hyperbola gets very close to the red lines on the graph, but it never touches them. which term describes each of the red lines? o o o o a. asymptote b. directrix c. focus d. axis

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.