If the area of the base of one cylinder is 452.16 square units, and the radius of another cylinder is 12 units, which additional fact must be true for the volumes of the two cylinders to be equal? (use = 3.14) a. the heights of each cylinder must be the same. b. the areas of the base of each cylinder must be the same. c. the circumferences of the base of each cylinder must be the same. d. the radii of the base of each cylinder must be the same.

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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

How many kilometers are equal to 5 miles? use 1 mile ≈ 1.61 kilometers. !