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. Bile, a yellowish-green fluid, is stored in the gallbladder and released into the small intestine during digestion. What is the primary function of bile in digestion?

• A. Break down carbohydrates
• B. Break down proteins
• C. Emulsify fats
• D. Neutralize stomach acid

Correct answer: C

Rationale: The primary function of bile in digestion is to emulsify fats. Bile contains bile salts that help break down large fat globules into smaller droplets, increasing the surface area for enzymes to work on and aiding in the absorption of fats in the small intestine. Choices A, B, and D are incorrect because bile's main role is not to break down carbohydrates or proteins, nor to neutralize stomach acid; rather, it primarily assists in the digestion and absorption of fats through emulsification.

3. Which phrase best describes the tone of the following sentence: 'He slammed his fist on the table, his voice booming with anger'?

• A. Playful
• B. Formal
• C. Agitated
• D. Melancholy

Correct answer: C

Rationale: The sentence portrays intense emotions and agitation through actions like 'slammed' and the description 'booming with anger,' indicating a tone of agitation. The tone is not playful as it's intense and angry, not formal as it lacks restraint and is emotionally charged, and not melancholy as it conveys anger and not sadness. Therefore, 'Agitated' is the most suitable choice to describe the tone.

4. Shawna buys 5.0 gallons of paint. If she uses 2.5 gallons of it on the first day, how much does she have left?

• A. 2.0 gallons
• B. 2.5 gallons
• C. 3.0 gallons
• D. 1.5 gallons

Correct answer: B

Rationale: To find the remaining paint, subtract the amount used from the total gallons bought. 5.0 - 2.5 = 2.5 gallons. Therefore, Shawna has 2.5 gallons of paint left after using 2.5 gallons on the first day. Choices A, C, and D are incorrect because they do not accurately represent the amount of paint left after using 2.5 gallons.

5. What is the pH of a solution with a hydrogen ion concentration of (1x10^{-9}) M?

• A. 5
• B. 7
• C. 9
• D. 11

Correct answer: C

Rationale: The pH of a solution can be calculated using the formula: pH = -log[H+]. Given that the hydrogen ion concentration is \(1 \times 10^{-9}\) M, the pH can be calculated as pH = -log(1 x 10^-9) = 9. Therefore, the correct answer is C) 9.

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