The motion of a simple spring hanging from the ceiling can be modeled with a cosine function. the bottom of the spring has a maximum height of 7 feet 4 inches and a minimum height of 6 feet 2 inches from the floor. it takes 2 seconds for the spring to expand from its minimum length to its maximum length. what is a cosine function that models the spring’s length in inches above and below its average, resting position? express the model as a function of time in seconds

Abcd ≅ klmn ≅ pqrs ≅ wxyz given that information, which figures are reflections of abcd?

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

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