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Word Knowledge

Proximity most nearly means:

nearness

Closeness.

Mechanical Comprehension

When all forces acting on a system cancel each other out, this is called:

equilibrium

When a system is stable or balanced (equilibrium) all forces acting on the system cancel each other out. In the case of torque, equilibrium means that the sum of the anticlockwise moments about a center of rotation equal the sum of the clockwise moments.

Shop Information

You've bored a large hole in a piece of wood to insert a doorknob. Which of these tools would you use to smooth the edges of the hole?

rasp

Files consist of diagonal rows of fine teeth and are used for fine finishing work to smooth, polish, or shape objects. Rasps are files with larger teeth that are used for coarse finishing work. Both files and rasps are designed to be inserted into detachable handles.

Math Knowledge

The dimensions of this cube are height (h) = 7, length (l) = 7, and width (w) = 7. What is the surface area?

294

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 7) + (2 x 7 x 7) + (2 x 7 x 7)
sa = (98) + (98) + (98)
sa = 294

General Science

A subatomic particle found in the nucleus of an atom. It carries a positive electric charge. This desribes which of the following?

proton

A proton is a subatomic particle found in the nucleus of an atom. It carries a positive electric charge.

Automotive Information

The spark plugs fire a few extra degrees before top dead center when the engine is running faster. In this case the engine's timing is:

advanced

Ignition timing defines the point in time at the end of the compression stroke that the spark plug fires. Measured in number of degrees before top dead center (BTDC), the exact point that the spark plugs initiate combustion varies depending on the speed of the engine. The timing is advanced (the spark plugs fire a few more degrees BTDC) when the engine is running faster and retarded when it's running slower.

General Science

Convert -20C° to F°.

-4

To convert from C° to F° use:

\(F° = {9 \over 5}C° + 32\)

\(F° = {9 \over 5}(-20) + 32\)

\(F° = {-180 \over 5} + 32\)

\(F° = -36 + 32 = -4\)

General Science

Respiration is the process by which __________ absorb oxygen and eliminate carbon dioxide.

blood cells

The respiratory system manages respiration which is the process by which blood cells absorb oxygen and eliminate carbon dioxide.

Electronics Information

Using a fuse with a current rating higher than that required by a circuit:

makes the circuit less safe

A fuse is a type of low resistance resistor that stops current flow in a circuit in response to a larger than intended electric current flow. Using a fuse with a higher current rating than required by a circuit is less safe as it could potentially allow overcurrent and risk a fire or heat-related equipment damage.

Math Knowledge

Solve 3b + 2b = 9b - 9z + 8 for b in terms of z.

1\(\frac{5}{6}\)z - 1\(\frac{1}{3}\)

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

3b + 2z = 9b - 9z + 8
3b = 9b - 9z + 8 - 2z
3b - 9b = -9z + 8 - 2z
-6b = -11z + 8
b = \( \frac{-11z + 8}{-6} \)
b = \( \frac{-11z}{-6} \) + \( \frac{8}{-6} \)
b = 1\(\frac{5}{6}\)z - 1\(\frac{1}{3}\)