Given \(−1 \lt n \lt 0\), which of the following is true?

In the figure shown, \(r = 2w\), \(y = z\), and \(w + y = 50\). What is the value of \(x\)?

For the triangle below, \(\sin(z) = \frac{7}{25}\). What is the value of \(y\)?

What is the average of the solution set of the inequality \(|−2x + 4| \lt 6\)?

What is the y-intercept of:

\(g^{-1} (x)+2\) if \(g(x)=\dfrac{-3x-7}{4}\)

A cube is inscribed in a sphere with a diameter of 5 inches, as shown. What is the side length of the cube?

The figure above is composed of three right triangles drawn inside of a rectangle. What is the product of \(\sin x\), \(\cos y\), and \(\tan z?\)

If \(\dfrac{x+1}{x} − \dfrac{3}{2x^2} = −\dfrac{5}{2x}\), then \(x = \; ?\)

A class of 9 students took a test. The median test score was \(x\), and the range of scores was 50. The grader then discovered that there was an error on two of the tests. For the student who scored the highest, their score should have been 5 points higher. For the student who scored the lowest, their score should have been 10 points lower. After the grader corrects these mistakes, what is the new median score, in terms of \(x\)?

What are the x-intercepts of the function below?

\(f(x) = x^3 + 3x^2 − x − 3\)