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Arithmetic Reasoning

Which of the following statements about exponents is false?

b¹ = 1

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

Automotive Information

The distributor is responsible for:

timing the spark and distributing it to the correct cylinder

The distributor is driven by the engine's camshaft and is responsible for timing the spark and distributing it to the correct cylinder. The distributor cap contains a rotor that connects the ignition coil (and its high voltage) to the proper cylinder at the proper point in the stroke cycle.

General Science

The __________ is a system of muscles that allows breathing.

diaphragm

The diaphragm is a system of muscles that allows breathing. During inhalation, the diaphragm expands and air rushes in to fill the space created. Then, during exhalation, the diaphragm contracts and forces the air back out.

General Science

Regulation of heart rhythm occurs in:

medulla

Part of the brainstem, the medulla is the connection between the brain and the spinal cord. It controls involuntary actions like breathing, swallowing, and heartbeat.

Electronics Information

Direct current flows from the __________ terminal of the voltage source to the __________ terminal.

negative, positive

Direct current flows in only one direction in a circuit, from the negative terminal of the voltage source to the positive. A common source of direct current (DC) is a battery.

Math Knowledge

$4$ \sqrt{2} $$

If the area of this square is 16, what is the length of one of the diagonals?

4$ \sqrt{2} $

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s²

so the length of one side of the square is:

s = $ \sqrt{a} $ = $ \sqrt{16} $ = 4

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c² = a² + b²
c² = 4² + 4²
c² = 32
c = $ \sqrt{32} $ = $ \sqrt{16 x 2} $ = $ \sqrt{16} $ $ \sqrt{2} $
c = 4$ \sqrt{2} $

General Science

Which of the following members of the food chain are most alike?

scavengers and decomposers

Like decomposers, scavengers also break down the dead bodies of plants and animals into simple nutrients. The difference is that scavengers operate on much larger refuse and dead animals (carrion). Decomposers then consume the much smaller particles left over by the scavengers.

General Science

In cell biology, the primary difference between anaerobic and aerobic respiration is that aerobic respiration requires:

oxygen

Some plant cells produce their own energy through photosynthesis which is the process by which sunlight, carbon dioxide, and water react to make sugar and oxygen. Animal cells cannot produce their own energy and, instead, generate energy when mitochondria consume outside sugar and oxygen through aerobic respiration.

General Science

__________ and __________ pair to strengthen bones.

vitamin D, calcium

Vitamin D helps calcium strengthen bones while also aiding muscle, nerve, and immune system function.

Mechanical Comprehension

A truck is using a rope to pull a car. Tension in the rope is greatest in which of the following places?

near the truck

Tension is a force that stretches or elongates something. When a cable or rope is used to pull an object, for example, it stretches internally as it accepts the weight that it's moving. Although tension is often treated as applying equally to all parts of a material, it's greater at the places where the material is under the most stress.