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Electronics Information

What's the overall power consumption of a piece of equipment that is rated for 7 amps at 60 volts?

420 W

Power is measured in watts (W) and 1 watt equals 1 ampere multiplied by 1 volt: P = \( V \times I \). For this problem, the equipment is rated for 7 amps (I) at 60 volts (V) so the equation becomes P = \( 60 \times 7 \) = 420 W

Electronics Information

This circuit component symbol represents a(n):

transistor

The transistor is the foundation of modern electronic devices. It is made entirely from semiconductor material (making it a solid state device) and can serve many different functions in a circuit including acting as a switch, amplifier, or current regulator. A transistor works by allowing a small amount of current applied at the base to control general current flow from collector to emitter through the transistor.

General Science

Work is measured in:

joules or newton-meters

Work is performed on an object when an applied force causes displacement along the same vector. Measured in joules (J) or newton-meters (Nm), work is calculated by multiplying force times displacement: \(W = \vec{F}\vec{d}\)

Arithmetic Reasoning

What is -5a⁶ - a⁶?

-6a⁶

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-5a⁶ - 1a⁶
(-5 - 1)a⁶
-6a⁶

Automotive Information

Which of the following is not a function of a car battery?

acts as a supplemental source of energy to moderate engine performance

The lead-acid battery is the core of the electrical system, providing current to the ignition system to start the engine as well as delivering supplemental current when the alternator can't handle high electrical system loads and acting as an electrical reservoir for excessive current.

General Science

Blood is delivered to bodily tissues through:

capillaries

The aorta is the body's largest artery and receives blood from the pulmonary vein via the left ventricle. From there, blood is circulated through the rest of the body through smaller arteries called arterioles that branch out from the heart. Finally, blood is delivered to bodily tissues through capillaries.

General Science

Which of the following temperatures is least like the others?

32°F

Absolute zero is the coldest possible temperature in the universe. In the Kelvin scale, absolute zero is 0K and in the Celsius scale it is -273°C.

Math Knowledge

Simplify (5a)(2ab) - (9a²)(3b).

-17a²b

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(2ab) - (9a²)(3b)
(5 x 2)(a x a x b) - (9 x 3)(a² x b)
(10)(a¹⁺¹ x b) - (27)(a²b)
10a²b - 27a²b
-17a²b

Mechanical Comprehension

Boyle's law defines the relationship between pressure and volume as:

\(\frac{P_1}{P_2} = \frac{V_2}{V_1}\)

Boyle's law states that "for a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional". Expressed as a formula, that's \(\frac{P_1}{P_2} = \frac{V_2}{V_1}\)

General Science

Materials like metals that transfer heat efficiently are called:

conductors

Heat is always transferred from warmer to cooler environments and conduction is the simplest way this transfer can occur. It is accomplished through direct contact between materials and materials like metals that transfer heat efficiently are called conductors while those that conduct heat poorly, such as plastic, are called insulators.