The ideal gas law states that the volume, v, of a gas in liters varies directly with the amount of the gas in moles, n, and the absolute temperature in kelvin, t, and varies inversely with the pressure, p, of the gas. two moles of a gas has a volume of 35.424 l at 270 kelvin when p = 1.25 atm. what is the volume of 3 moles of a gas at 280 kelvin when p = 1.5 atm?
a. 11.48 l
b. 27.33 l
c. 45.92 l
d. 103.32 l

The price of an item has been reduced by 30%. the original price was $30. what is the price of the item now ?

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

The difference between two numbers is one. three times the larger number minus two times the smaller number is 9. what are the two numbers