The red figure is the image of the blue figure after a dilation with center C. Find the scale factor of the dilation. Then find the value of m.

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

The radius of the earth is two times the radius of the moon. what fraction of the volume of the earth is the volume of the moon?

In a recent year, the weather was partly cloudy 2/5 of the days. assuming there are 356 days in a year, how many days were partly cloudy?