A sector of a circle with radius 8 cm has a central angle of 60°. What is the area of the sector?

What is the remainder when 2x³ – 5x² + 3x – 7 is divided by (x – 2)?

If the vertices of a triangle are A(1,2), B(4,6), and C(7,2), what is its area?

What is the equation of the line perpendicular to 3x + 4y = 12 and passing through (2,1)?

A sphere has volume 288π cubic units. What is its radius?

If f(x) = e^(2x) and g(x) = ln(x), what is f(g(x))? (^ means ‘Power’)

What is the coefficient of x^4 in the expansion of (2x – 1)^6?

Find the maximum value of f(x) = -2x² + 8x – 3 on the interval [0,5].

If sin(2θ) = 3/5 and 0 < θ < π/4, what is cos(θ)?

Refer to the figure. How much effort is needed to lift the 240 lb load?

Refer to the figure. At what speed does pulley C rotate?

Refer to the figure. Which way will gear E rotate?

“Refer to the figure. What is the actual mechanical advantage of this inclined plane?

Refer to the figure. What is the velocity ratio of this worm gear system?

Refer to the figure. If force F = 100 N is applied, what is the tension in rope segment AB?

Refer to the figure. What torque is required at the input shaft?

Refer to the figure. At which point is the beam most likely to break?

Passage: ‘Modern desalination plants convert seawater into freshwater using processes such as reverse osmosis. In reverse osmosis, seawater is forced through semi-permeable membranes that block most salt ions and impurities. Although the process can supply drinking water in dry regions, it often requires large amounts of energy and careful disposal of concentrated brine.’

According to the passage, what is reverse osmosis used for?

Passage: ‘Modern desalination plants convert seawater into freshwater using processes such as reverse osmosis. In reverse osmosis, seawater is forced through semi-permeable membranes that block most salt ions and impurities. Although the process can supply drinking water in dry regions, it often requires large amounts of energy and careful disposal of concentrated brine.’

Based on the passage, what is one drawback of reverse osmosis?

Passage: ‘Modern desalination plants convert seawater into freshwater using processes such as reverse osmosis. In reverse osmosis, seawater is forced through semi-permeable membranes that block most salt ions and impurities. Although the process can supply drinking water in dry regions, it often requires large amounts of energy and careful disposal of concentrated brine.’

The word ‘concentrated brine’ in the passage most nearly refers to:

Passage: ‘Modern desalination plants convert seawater into freshwater using processes such as reverse osmosis. In reverse osmosis, seawater is forced through semi-permeable membranes that block most salt ions and impurities. Although the process can supply drinking water in dry regions, it often requires large amounts of energy and careful disposal of concentrated brine.’

The author’s tone in the passage is best described as:

Passage: ‘In team settings, clear communication reduces costly errors and helps members coordinate tasks efficiently. When expectations are vague, people may duplicate work, overlook deadlines, or assume others are handling critical responsibilities. Managers who provide concise instructions and timely feedback often improve both productivity and morale.’

According to the passage, vague expectations can lead to:

Passage: ‘In team settings, clear communication reduces costly errors and helps members coordinate tasks efficiently. When expectations are vague, people may duplicate work, overlook deadlines, or assume others are handling critical responsibilities. Managers who provide concise instructions and timely feedback often improve both productivity and morale.’

According to the passage, managers improve outcomes by:

Passage: ‘Composite materials are increasingly used in aircraft because they combine low weight with high strength. By reducing structural mass, engineers can improve fuel efficiency and payload capacity. However, composites may require specialized inspection methods because internal damage is not always visible from the surface.’

According to the passage, one advantage of composite materials is:

Passage: ‘Composite materials are increasingly used in aircraft because they combine low weight with high strength. By reducing structural mass, engineers can improve fuel efficiency and payload capacity. However, composites may require specialized inspection methods because internal damage is not always visible from the surface.’

Based on the passage, why might composites require specialized inspection?

Passage: ‘Composite materials are increasingly used in aircraft because they combine low weight with high strength. By reducing structural mass, engineers can improve fuel efficiency and payload capacity. However, composites may require specialized inspection methods because internal damage is not always visible from the surface.’

The main idea of the passage is that composite materials:

Passage: ‘Composite materials are increasingly used in aircraft because they combine low weight with high strength. By reducing structural mass, engineers can improve fuel efficiency and payload capacity. However, composites may require specialized inspection methods because internal damage is not always visible from the surface.’

The author’s tone is best described as:

A rectangular room is 18 ft long and 14 ft wide. What is its area?

Refer to the figure. What is the resulting force at point P?

Refer to the figure. Which spring will compress more under the same load?