The pressure P and volume V of an expanding gas are related by the formula PV^b=C, where b and C are constants (this holds in adiabatic expansion, without heat gain or loss). Find dP/dt if b=1.5, P=13kPa, V=50cm^2, and dV/dt=10cm^3/min.

dP/dt= (kPa/min)

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

The length of time it takes to find a parking space at 9 a.m. follows a normal distribution with a mean of 5 minutes and a standard deviation of 2 minutes. find the probability that it takes at least 8 minutes to find a parking space. (round your answer to four decimal places.)

The half-life of a certain material is 0.004 second. approximately how much of a 20-gram sample will be left after 0.016 second? a. 5 grams b. 16 grams c. 0.32 gram d. 1.25 grams