Solve the problem.Enthalpy is a measurement of energy in a thermodynamic system. The enthalpy H of a homogeneous system is related to the internal energy U of the system, the pressure p of the system, and the volume V of the system through the equation H = U + pV. Solve the equation for the internal energy in terms of the other variables.

A. V = 
B. U = 
C. V = H + pU
D. U = H - pV


Answer: D

Mathematics

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Solve the problem.A tree is

A. any connected graph whose edges number one fewer than its vertices. B. any graph for which there is one and only one path joining any two vertices. C. any graph with one component and no circuits. D. all of these define a tree. E. none of these

Mathematics

Solve the problem.In his algebra class, Rob has scores of 79, 85, 81, and 65 on his first four tests. To get a grade of C, the average of the first five tests must be greater than or equal to 70 and less than 80. Solve an inequality to find the range of scores that Rob can earn on the fifth test to get a C.

A. 40 ? x < 90, where x represents Bob's score on the fifth test B. x ? 40, where x represents Bob's score on the fifth test C. 40 < x < 90, where x represents Bob's score on the fifth test D. 40 ? x ? 90, where x represents Bob's score on the fifth test

Mathematics

Solve the system by elimination. 4x + 9y = 99-2x - 5y = -53

A. (9, 8) B. (9, 7) C. No solution D. (8, 8)

Mathematics

Solve the problem.Express the indicated sum as a fraction of whole numbers in lowest terms. +  +  + ... +   

A.
B.
C.
D.

Mathematics