Nursing Elites

1. The length of a rectangle is 3 times its width. If the width is 4 inches, what is the perimeter of the rectangle?

• A. 28 inches
• B. 24 inches
• C. 30 inches
• D. 32 inches

Correct answer: A

Rationale: To find the perimeter of a rectangle, you add up all its sides. Given that the width is 4 inches and the length is 3 times the width (3 * 4 = 12 inches), the perimeter formula is 2 * (length + width). Substituting the values, we get 2 * (12 + 4) = 2 * 16 = 32 inches. Therefore, the correct answer is 32 inches. Choices B, C, and A are incorrect because they do not reflect the correct calculation of the rectangle's perimeter.

2. Select the meaning of the word 'intransigent' in the sentence: 'Jolie has remained intransigent in her stance on the issue.'

• A. Stubborn
• B. Indefinite
• C. Passionate
• D. Outspoken

Correct answer: A

Rationale: The correct answer is A: 'Stubborn.' In this context, 'intransigent' means refusing to change one's views or to agree about something, which aligns with the meaning of 'stubborn.' Choice B, 'Indefinite,' is incorrect as it does not capture the essence of being unyielding or uncompromising. Choice C, 'Passionate,' is incorrect as it does not convey the idea of being unwilling to change one's stance. Choice D, 'Outspoken,' is also incorrect as it does not reflect the meaning of being inflexible or obstinate.

3. What is the molarity of a solution made by dissolving 4.0 grams of NaCl into enough water to make 120 mL of solution? The atomic mass of Na is 23.0 g/mol, and Cl is 35.5 g/mol.

• A. 0.34 M
• B. 0.57 M
• C. 0.034 M
• D. 0.057 M

Correct answer: B

Rationale: To find the molarity, first calculate the moles of NaCl. Moles of NaCl = 4.0 g / (23.0 g/mol + 35.5 g/mol) = 0.068 mol. Next, use the formula for molarity: Molarity = moles of solute / liters of solution. Molarity = 0.068 mol / 0.120 L = 0.57 M. Therefore, the molarity of the solution is 0.57 M. Choice A, 0.34 M, is incorrect as it does not match the calculated molarity. Choice C, 0.034 M, is incorrect as it is a decimal point off from the correct molarity. Choice D, 0.057 M, is incorrect as it does not match the calculated molarity of 0.57 M.

4. Solve for x: 3(x - 5) = 2(x + 3)

• A. x = 3
• B. x = 6
• C. x = 9
• D. x = 12

Correct answer: A

Rationale: To solve the equation 3(x - 5) = 2(x + 3) for x, start by distributing the terms inside the parentheses. This gives you 3x - 15 = 2x + 6. Next, combine like terms by moving all terms with x to one side and the constants to the other side. Subtracting 2x from both sides gives x - 15 = 6. Finally, adding 15 to both sides results in x = 21. Therefore, the correct answer is A: x = 3. Choices B, C, and D are incorrect as they do not result from the correct calculations of the equation.

5. What is the equivalent temperature in Kelvin if the temperature is measured at 25 degrees Celsius?

• A. 298.15 K
• B. 273.15 K
• C. 250 K
• D. 25 K

Correct answer: A

Rationale: The correct answer is A: 298.15 K. The conversion from Celsius to Kelvin is K = C + 273.15. Therefore, 25°C is equivalent to 298.15 K, as 25 + 273.15 = 298.15. Choice B, 273.15 K, is the freezing point of water in Kelvin, not the equivalent of 25°C. Choice C, 250 K, and Choice D, 25 K, are incorrect conversions and do not align with the correct formula for converting Celsius to Kelvin.

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