Rectangle ABCD is congruent to rectangle A"B"C"D" . Which sequence of transformations could have been used to transform rectangle ABCD to produce rectangle A"B"C"D" ? Rectangle ABCD was reflected across the y-axis and then across the x-axis. Rectangle ABCD was translated 2 units left and then 3 units down. Rectangle ABCD was rotated 180° around the origin and then translated 7 units down. Rectangle ABCD was translated 8 units left and then 7 units down.

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?

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?