In a competition where the highest score wins, the scores of the top four competitors are consecutive even integers whose sum is 36. What is the score of the competitor who finished in second place?

A company’s expenditures are distributed as follows:

The expenditures in all remaining categories total $12,250. Approximately how much does the company spend on Research and Development, to the nearest dollar?

The vertices of square \(ABCD\) have coordinates \((0,0)\), \((-8,0)\), \((-8,8)\), and \((0,8)\), and circle \(O\) is inscribed in square \(ABCD\).

Which of the following equations represents circle \(O\)?

A delivery truck travels from a warehouse to a store at an average speed of 40 miles per hour. On the return trip along the exact same route, the truck travels at an average speed of 60 miles per hour. What is the truck’s average speed, in miles per hour, for the entire round trip?

A net of a cube is shown. The perimeter of the net is 336 cm. What is the volume, in cubic centimeters, of the cube?

Let the function \(f\) be defined as \(f(x) = (2x − 5)^2 + 3\). In the standard \((x, y)\) coordinate plane, the graph of \(y = f(x)\) is transformed into the graph of \(y = (2x + 7)^2 − 4\).

Which of the following describes this transformation?

What is the sum of all real solutions for the equation \(|x^2 − 5x| = 6 ?\)

\( A =
\begin{bmatrix}
2 & 3 \\
3 & 2 \\
\end{bmatrix}
\ \ \ B =
\begin{bmatrix}
4 & m \\
3 & n \\
\end{bmatrix}
\ \ \ C =
\begin{bmatrix}
17 & 31 \\
18 & 29 \\
\end{bmatrix}
\)

If \(AB = C\), what is the value of \(m\)?

Given that \(\log_x a = 2\) and \(\log_x b = 3\), what is the value of \(\log_x(ab)^3\)?

Which equation represents an ellipse that passes through all four vertices of the hyperbolas shown?