For problems 4 and 5, write an exponential equation to represent each situation, and solve the equation to answer the question. Be sure to define your variable and show all of your work. 4. An amount of bacteria is quadrupling every eight minutes. If there are currently five bacteria, when will there be 5,120 bacteria?

5. The half-life of a substance is 120 years. If there are currently 300 grams of the substance, when will 75 grams remain?

Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling

Moira has a canvas that is 8 inches by 10 inches. she wants to paint a line diagonally from the top left corner to the bottom right corner. approximately how long will the diagonal line be?

Which of the following shows the length of the third side, in inches, of the triangle below