At bob's burgers' grand opening, the owner gives each customer one spin on the spinner shown. all sections of the spinner are the same size. a. j. walks up to the spinner first. he hopes to win a free drink, a free dessert, or free fries. he says, “the probability that i get what i want is 1 out of 3, because there are 3 sections i want the arrow to land in.” unfortunately, a. j. is incorrect. what is his actual probability of getting one of the three things he wants? what did he do wrong? how did you calculate the correct answer? answer all three questions in complete sentences.

Sara sells beaded necklaces she makes a profit of 4 dollars pn every neclace she sells which table represents the profit sara makes

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Find the area of a parallelogram with the given vertices. p(-2, -5), q(9, -5), r(1, 5), s(12, 5)