In Pennsylvania, state sales tax is used to pay for services provided by the state. The sales tax rates vary by city and county. In Warren County the sales tax rate is 6%; in Allegheny County, the sales tax rate is 7%; and in Philadelphia the sales tax rate is 8%.
Nike Free Runs are on sale for $69.97. Rounded to the nearest cent, how much money would you save in sales tax if you buy a pair in Warren
County, compared to buying them in Allegheny County

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.

Select the conic section that represents the equation. 3x2 + 3y2 -2x + 4 = 0

Given that sin∅ = 1/4, 0 < ∅ < π/2, what is the exact value of cos∅? a. (√4)/4 b. (√15)/4 c. (4π)/2 d. (4√2)/4