Part of a large wooden art project will be a triangle formed by joining three boards together. The artist has four boards that measure 16 feet, 11 feet. 7 feet, and 3 feet. Which board could not be used with two of the others to form a triangle? (A) the 3-foot board (B) the 7-foot board (C) the 11-foot board (D) the 16-foot board

The Empire State Building has a height of 1250 ft. Express this height in meters, giving your result in scientific notation with three significant figures.

A board is 6 feet long. How many 2/3-foot-long pieces can be cut from the board? Use the number line to show your work.

Why is the number of pieces that can be cut from the board greater than the number of feet in the length of the board?

A standard gold bar stored at Fort Knox, Kentucky, is 7.00 inches long, 3.63 inches wide, and 1.75 inches tall. Gold has a density of $19,300 \mathrm { kg } / \mathrm { m } ^ { 3 }$. What is the mass of such a gold?

Find the center, transverse axis, vertices, foci, and asymptotes. Graph each equation. $y^{2}-4 x^{2}-4 y-8 x-4=0$

Refer to the propositions p, q, and r; p is true, q is false, and r's status is unknown at this time. Tell whether each proposition is true, is false, or has unknown status at this time.

$$(p\wedge r)\leftrightarrow r$$

Find the exact value of each expression.

$$\tan ^ { - 1 } 1$$

Use synthetic division to find the quotient and the remainder when the first polynomial is divided by the second polynomial. $x ^ { 6 } + 2 x ^ { 4 } - x ^ { 3 } + 5 ; x + 1$

Find a coordinate that represents a maximum for each graph.

$$y = 3 \tan \left( x + \frac { \pi } { 2 } \right) + 2$$

Apply the translation theorem to find the Laplace transforms of the function

$$f ( t ) = t ^ { 4 } e ^ { \pi t }$$

Solve the equation.

$$\frac { x ^ { 2 } } { x - 10 } = \frac { 100 } { x - 10 } - 10$$

Explain why $(-64)^{1/3}$ equals $-64^{1/3}$ but $(-64)^{1/2}$ does not equal $-64^{1/2}$.

Determine the values of the literal numbers.

$$\begin{bmatrix} a+bj & b \\ aj & b-aj \end{bmatrix}=\begin{bmatrix} 6j & 2d \\ 2cj & ej^2 \end{bmatrix} \qquad (j=\sqrt{-1})$$

Poverty thresholds are determined by the U.S. Census Bureau. A poverty threshold represents the minimum annual household income for a family not to be considered poor. In 1998, the poverty threshold for a family of four with two children under the age of 18 years was $16,530. In 2008, the poverty threshold for a family of four with two children under the age of 18 years was$21,834. Assuming poverty thresholds increase in a straight-line fashion, use the midpoint formula to estimate the poverty threshold of a family of four with two children under the age of 18 in 2003. How does your result compare to the actual poverty threshold in 2003 of $18,660?