The number of bacteria in a culture decreases according to a continuous exponential decay model. The initial population in a study is 400 bacteria, and there are 260 bacteria left after 6 minutes. A) Let t be the time (in minutes) since the beginning of the study, and let t be the number of bacteria at time t.

Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.

B) How many bacteria are there 23 minutes after the beginning of the study?

Do not round any intermediate computations, and round your answer to the nearest whole number.

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 10^4 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 10^5 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.