Nursing Elites

1. What is the domain for the function y = 1/x?

• A. All real numbers except 0
• B. x > 0
• C. x = 0
• D. x = 1

Correct answer: A

Rationale: The domain of a function consists of all possible input values that produce a valid output. In the case of y = 1/x, the function is undefined when x = 0 because division by zero is not defined in mathematics. Therefore, the correct domain for y = 1/x is all real numbers except 0 (Choice A). Choice B, x > 0, is incorrect because it excludes the value x = 0. Choice C, x = 0, is also incorrect as x = 0 is not a valid part of the domain due to the function being undefined at this point. Choice D, x = 1, is unrelated to the domain of the function and does not represent the set of valid input values for y = 1/x.

2. Which of the following is a constant?

• A. The number of protons in an oxygen atom
• B. The temperature at which iron ore will melt
• C. The human population size
• D. The time the sun rises each day

Correct answer: A

Rationale: The number of protons in an oxygen atom is a constant. This value is determined by the atomic number of the element and does not change regardless of the isotope of oxygen. The number of protons defines the element and remains consistent under normal conditions. Choices B, C, and D are not constants. The temperature at which iron ore will melt can vary depending on factors like pressure, the human population size is constantly changing, and the time the sun rises each day varies with the seasons and location.

3. Which statement best details the central idea in this passage?

• A. It discusses insects that transition from water to air during their life cycle.
• B. It explores the field of entomology, particularly focusing on gills.
• C. It explains the mechanism of insects' respiration.
• D. It encourages readers to contribute to insect conservation efforts.

Correct answer: A

Rationale: The correct answer is A because the passage primarily discusses certain insects that spend time in water during their early stages and then transition to an aerial life when they reach adulthood. It highlights how these insects, such as Stoneflies, May-flies, and Dragon-flies, live in water initially and then in the air during their adult stage. This central idea is best captured by choice A. <br> Choice B is incorrect because while the passage mentions gills as a part of the respiratory system of aquatic insects, it does not delve into entomology as a field. Choice C is incorrect as it does not solely focus on defining insect respiration but rather on the transition of certain insects between aquatic and aerial environments. Choice D is incorrect as the passage does not explicitly invite readers to participate in insect preservation efforts; it mainly focuses on describing the life cycle of specific insects.

4. Which of the following accurately describes saltatory conduction?

• A. It is faster than normal nerve conduction
• B. It occurs from one node of Ranvier to the next
• C. It only occurs in myelinated neurons
• D. All of the above

Correct answer: D

Rationale: The correct answer is D, 'All of the above.' Saltatory conduction is faster than normal nerve conduction, occurs from one node of Ranvier to the next, and is exclusive to myelinated neurons. This form of conduction allows for the rapid transmission of nerve impulses by the action potential jumping between the nodes of Ranvier in myelinated neurons, enhancing the efficiency of signal propagation along the axon. Choice A is correct as saltatory conduction is indeed faster than normal conduction. Choice B is accurate as it describes the mechanism of conduction 'jumping' from one node of Ranvier to the next. Choice C is correct because saltatory conduction occurs specifically in myelinated neurons where the myelin sheath insulates the axon except at the nodes of Ranvier, facilitating faster transmission of nerve impulses.

5. Which of the following algebraic equations correctly represents the sentence 'Four more than a number, x, is 2 less than 1/3 of another number, y'?

• A. x + 4 = (1/3)y - 2
• B. 4x = 2 - (1/3)y
• C. 4 - x = 2 + (1/3)y
• D. x + 4 = 2 - (1/3)y

Correct answer: A

Rationale: To represent 'Four more than a number, x', we write x + 4. This is equal to '2 less than 1/3 of another number, y', which translates to 1/3y - 2. Therefore, the correct equation is x + 4 = (1/3)y - 2. Choice B is incorrect as it incorrectly combines the values of x and y. Choice C is incorrect as it doesn't properly relate x and y with the given conditions. Choice D is incorrect as it doesn't correctly represent the relationship between x and y according to the given statement.

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