Let p(x) be the statement "x can speak russian, and let 17. suppos q(x) be the statement "x knows the computer language c++." express each of these sentences in terms of p(x), q(x), quantifiers, and logical connectives. the domain p(x) each c tions for quantifiers consists of all students at your school. a) there is a student at your school who can speak rus- b) there is a student at your school who can speak rus- e) every student at your school either can speak russian d) no student at your school can speak russian or knows sian and who knows c++. sian but who doesn't know c++ or knows c++. a) 3u d) v 18. supp p(x) out e junc a) d)

Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

The? half-life of a radioactive substance is 20 years. if you start with some amount of this? substance, what fraction will remain in 120 ? years