Expand the expression using the Binomial Theorem.(3x - 3y)3

A. 27x3 - 27x2y + 27xy2 - 27y3
B. 9x3y - 9x2y2 + 9xy3
C. 27x3 - 81x2y + 81xy2 - 27y3
D. 9x3y - 18x2y2 + 9xy3


Answer: C

Mathematics

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In an adiabatic process (one in which no heat transfer takes place), the pressure P and volume V of an ideal gas such as oxygen satisfy the equation where C is a constant. Suppose that at a certain instant of time, the volume of the gas is 2L, the pressure is 100 kPa, and the pressure is decreasing at the rate of 5 kPa/sec. Find the rate at which the volume is changing.

a. 14 L/sec
b. C–14 L/sec
c. C–
d.

Mathematics

Solve the equation.2x = 14

A. 12 B. 7 C. 28 D. 16

Mathematics

The matrix is the final matrix form for a system of two linear equations in variables x1 and x2. Write the Solution of the system.

A. x1 = 3 x2 = 5 B. x1 = -5 x2 = -3 C. x1 = 5 x2 = t for any real number t D. x1 = 5 x2 = 3

Mathematics

Find the determinant.det 

A. -3 B. 5 C. 0 D. 3

Mathematics