Using only a compass and a straightedge, you are constructing a line perpendicular to and passing through a given point M on . With a compass of set width, you have drawn arcs that intersect on each side of M and marked the two intersection points as P and Q. What is the next step in the next step in the construction? A.
Place the compass needle on P and set its width to M.
B.
Place the compass needle on M and set its width beyond P.
C.
Place the compass needle on P and set its width beyond M.
D.
Place the compass needle on M and set its width to half the distance between P and M.

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

Consider the function represented by the equation 1/2 j + 1/4 k equals 3 which shows the equation written in function notation with j as the independent variable

In a probability experiment, karen flipped a coin 76 times. the coin landed on heads 32 times. what percentage of the coin flips resulted in tails? round to the nearest percent. a. 58% b. 65% c. 42% d. 60%