A circular pizza with a diameter of 14 inches is cut into 8 equal slices. A square brownie pan has a perimeter equal to the circumference of the pizza. **Column A**: The area of the top surface of two slices of pizza. **Column B**: One-fourth of the area of the bottom of the brownie pan. Which of the following is correct?
A stock's value increased by 20% in January, decreased by 25% in February, and then increased by 10% in March. What was the net percentage change in the stock's value over the three-month period?
A survey of 200 university students' media consumption habits is summarized in the Venn diagram below. The circles represent students who consume News from Podcasts (P), Social Media (S), and Television (T). Based on the diagram, which of the following statements must be true? (Select TWO) ```mermaid graph TD subgraph Survey of 200 Students A(P) --- B(S) B --- C(T) A --- C end style A fill:#f9f,stroke:#333,stroke-width:2px style B fill:#ccf,stroke:#333,stroke-width:2px style C fill:#9cf,stroke:#333,stroke-width:2px ``` *Note: The diagram is conceptual. The values are as follows:* - Only P: 35 - Only S: 40 - Only T: 25 - P and S only: 15 - S and T only: 20 - P and T only: 10 - P, S, and T: 5 - None of the three: 50
A project manager determines that the profit `P(x)` in thousands of dollars from a project lasting `x` days is given by the function `P(x) = -x² + 24x - 44`. To make a profit, the project must run for more than `a` days but fewer than `b` days. What is the value of `b - a`?
Given that *p* is a prime number greater than 3. **Column A**: The remainder when p² is divided by 12. **Column B**: 1 Which of the following is correct?
**Case Study Scenario:** An e-commerce company tracks its quarterly revenue over two years. The data is presented in the bar chart below. The revenue is given in millions of dollars. **Question:** What is the median quarterly revenue for the entire two-year period shown in the chart? ```mermaid xychart-beta title "Quarterly Revenue (in millions)" x-axis ["Y1Q1", "Y1Q2", "Y1Q3", "Y1Q4", "Y2Q1", "Y2Q2", "Y2Q3", "Y2Q4"] y-axis "Revenue ($M)" 0 to 60 bar [15, 25, 20, 40, 30, 35, 28, 55] ```
A solid metal cube with a side length of 6 cm is melted down and recast into a solid circular cylinder with a radius of 3 cm. What is the height of the cylinder?
If `x` and `y` are integers, and `xy ≠ 0`. **Column A**: (2x)³y² **Column B**: 4x³y² Which of the following is correct?
True or False: For any set of consecutive integers with an odd number of terms, the arithmetic mean and the median of the set are always equal.
If `f(x) = x² - 2x` and `g(x) = 3x - 1`, what is the value of `f(g(2))`?