Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? y – 6 = y minus 6 equals startfraction 5 over 2 endfraction left-parenthesis x minus 2 right parenthesis.(x – 2) y – 6 = y minus 6 equals startfraction 2 over 5 endfraction left-parenthesis x minus 2 right parenthesis.(x – 2) y + 6 = y plus 6 equals startfraction 2 over 5 endfraction left-parenthesis x plus 2 right parenthesis.(x + 2) y + 6 = y plus 6 equals startfraction 5 over 2 endfraction left-parenthesis x plus 2 right parenthesis.(x + 2)

One-third of the people from country a claim that they are from country b, and the rest admit they are from country a. one-fourth of the people from country claim that they are from country a, and the rest admit they are from country b. in a combined census of the two countries, one-half of the total claimed to be from a. what is the ratio of the populations of country a to that of country b.

What is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? assume that the cards are not replaced.

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