Sophie will draw one card at random and then roll a number cube. There are four cards. Each card has a picture of a shape. All possible outcomes are shown
Square si 52 53 54 55 56
Card Drawn
Circle ci C2 C3 C4 C5 C6
Triangle T1 T2 T3 T4 T5 T6
Heart H1 H2 H3 H4 H5 H6
1 2
6
Number Rolled
What is the probability that Sophie draws a heart and then rolls either a 4 or a 6?
ОА
- -
o o. 1 /
O E 1 / 2
O B. 1
Och
1

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

Need ! discuss how to convert the standard form of the equation of a circle to the general form. 50 points

(least common multiples) the answer that i had in the 1st step was lcm of airline tickets sold=72. idk if that even matters but just in case. ! three co-workers are busy selling airline tickets over the phone. in an 8-hour day, charles can sell 8 airline tickets, ann can sell 9 airline tickets, and michelle can sell 6 airline tickets. step 2 of 2: what is the smallest number of 8-hour days needed for each of them to achieve the same number of sales? it takes charles . it takes . it takes .