Define f: n rightarrow z be defined as follows: for each n n, f(n) = 1 + (-1)^n (2n - 1)/4. is the function f an injection? is the function f a surjection? justify your conclusions. suggestions. start by calculating several outputs for the function before you attempt to write a proof. in exploring whether or not the function is an injection, it might be a good idea to uses cases based on whether the inputs are even or odd. in exploring whether f is a surjection, consider using cases based on whether the output is positive or less than or equal to zero.

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

What is the measure of angle tvu shown in the diagram below

If olu is twice as old as funmi if the sum of their ages is 60 how old is olu