1. The tesla is an SI-derived unit for the strength of a magnetic field. A scientist measures a magnetic field of strength 12.4 microteslas. Express this value in the base unit of teslas, writing your answer in standard notation.

2. Express the value 12.4 microteslas in the base unit of teslas, but write the answer in scientific notation.

3. Cory is studying the relationship between the temperature (T) of water, and the volume (v) of a certain gas that can dissolve in the water. He comes up with the following equation that describes the relationship: v = 0.036T+0.21. What is the qualitative relationship that describes this quantitative relationship?

4. Regina has been monitoring the daily high temperature at her home for several years. Looking at the data, she sees that there is a very clear pattern of temperatures being high in the summer, decreasing during the fall, being low in the winter, and increasing during the spring. Based on this, what type of correlation is there between time and daily high temperature?

5. Leslie's cat walks 4 meters east, 3 meters south, 2 meters west, and 9 meters north. What is the cat's distance and displacement at the end of this walk?