A sample of a radioactive isotope had an initial mass of 820 mg in the year 1995 and decays exponentially over time. A measurement in the year 2002 found that the sample's mass had decayed to 380 mg. What would be the expected mass of the sample in the year 2007, to the nearest whole number?

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.