Boyle’s law states that when a sample of gas is compressed at a constant temperature, the pressure p of the gas is inversely proportional to the volume v of the gas. (a) suppose that the pressure of a sample of air that occupies 0.106 m3 at 25°c is 50 kpa. write v as a function of p. (b) calculate dvydp when p − 50 kpa. what is the meaning of the derivative? what are its units?

Which statements about tornadoes are true? check all that apply. (a) about 12,000 tornadoes hit the united states every year. (b) a tornado looks like a funnel. (c) tornadoes are deadly atmospheric storms that cause millions in damages each year. (d) tornadoes can reach wind speeds of more than 300 miles per hour. (e) kansas is the state with the most tornadoes. (f) you will always notice a funnel before a tornado strikes.

Which scientist was the first to propose the heliocentric model of the universe? a. aristotle b. isaac newton c. galileo galilei d. nicolaus copernicus

The radioactive isotope of lead, pb-209, decays at a rate proportional to the amount present at time t and has a half-life of 3.3 hours. if 1 gram of this isotope is present initially, how long will it take for 80% of the lead to decay? (round your answer to two decimal places.)