A tank is in the shape of a cube with edge length of 6 feet. Find the number of cubic feet of water needed to fill the tank. Then find the number of cubic yards of water needed to fill the tank. (Hint: 3 ft = 1yd)

A particle of mass m is placed in a three-dimensional rectangular box with edge lengths 2L, L, and L. Inside the box the potential energy is zero, and outside it is infinite; therefore, the wave function goes smoothly to zero at the sides of the box. Calculate the energies and give the quantum numbers of the ground state and the first five excited states (or sets of states of equal energy) for the particle in the box.

Tell whether the given value of the variable is a solution of the equation.

$$- 6 = \frac { x } { 2 } - 7 ; x = - 2$$

How did imperialism influence the war?

Without solving each equation, determine the nature of its roots.

$$3y^2$$

-9y=0

Simplify each expression. 2b - 6 + 9b

Explain why sharing a reentrant module is easier when segmentation is used than when pure paging is used.

What is $-6 \frac{9}{16}$ written as a decimal? (A) -6.625 (B) -6.5625 (C) -6.4375 (D) -6.125

Sketch the region that corresponds to the given inequalities, say whether the region is bounded or unbounded, and find the coordinates of all corner points (if any). $\frac{x}{3}+\frac{2 y}{3} \geq 2$

use any method to solve the system. { x - 5y = 21 , 6x + 5y = 21

Solve each equation below. Check for extraneous solutions. $a. ( y - 3 ) ^ { 2 } = 2 y – 10$ $b. | y - 3 | = 2 y – 10$

Use a graph to solve the equation. Check your solution.

$$2 x + 3 = 4$$

Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of each curve. Verify your graph using a graphing utility. $x=2 \cos t, \quad y=3 \sin t ; \quad 0 \leq t \leq 2 \pi$

either solve the given system of equations, or else show that there is no solution. x1+2x2−x3=−2−2x1−4x2+2x3=42x1+4x2−2x3=−4