Snowy's snow cones has a special bubble gum snow cone on sale. the cone is a regular snow cone that has a spherical piece of bubble gum nested at the bottom of the cone. the radius of the snow cone is 2 inches, and the height of the cone is 3 inches. if the diameter of the bubble gum is 0.5 inches, which of the following can be used to calculate the volume of the cone that can be filled with flavored ice?
1 over 3 (3.14)(22)(3) − 4 over 3 (3.14)(0.253)
1 over 3 (3.14)(32)(2) − 4 over 3 (3.14)(0.253)
1 over 3 (3.14)(22)(3) − 4 over 3 (3.14)(0.53)
1 over 3 (3.14)(32)(2) − 4 over 3 (3.14)(0.53)

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? −5, one third , one half 5, − one third , one half 5, one third , − one half 5, one third , one half

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?