Enter the values for the variables that give the correct simplified expressions, x = ≥ 0.

startroot 50 x squared endroot = startroot 25 times 2 times x squared endroot = 5 x startroot b endroot
b =

startroot 32 x endroot = startroot 16 times 2 times x endroot = c startroot 2 x endroot
c =

startroot 18 n endroot = startroot 9 times 2 times n endroot = e startroot 2 n endroot
e =

startroot 72 x squared endroot = startroot 36 times 2 times x squared endroot = g x startroot 2 endroot
g =

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

Ateacher noticed 5/8 of the students were wearing either blue shorts or white shorts. write two different ways this could be done.

Aramp rises 4 feet over a distance of 10 feet. what is the length of the ramp?