if the sum of roots of the quadratic equation x^(2)-3kx-(k+2)=0 is equal to the product of roots, find k

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

Asphere has a diameter of 10 in. what is the volume of the sphere?

The police chief wants to know if the city’s african americans feel that the police are doing a good job. identify the management problem (i.e dependent variable) and identify the independent variable.