Nursing Elites

1. What is the length of the unknown leg of a right triangle that has one leg measuring 9 feet and a hypotenuse of 19 feet? (Round to the nearest tenth.)

• A. 16.7 feet
• B. 16.0 feet
• C. 17.4 feet
• D. 8.4 feet

Correct answer: A

Rationale: To find the length of the unknown leg (a) of a right triangle, use the Pythagorean theorem: a² + 9² = 19². Substitute the known values, solve for a: a² + 81 = 361. Subtract 81 from both sides to get a² = 280. Taking the square root of 280 gives a ≈ 16.7 feet. Therefore, the correct answer is 16.7 feet. Choice B (16.0 feet) is incorrect as it does not accurately round to the nearest tenth. Choice C (17.4 feet) and choice D (8.4 feet) are incorrect as they do not match the calculated value using the Pythagorean theorem.

2. What does the term 'dilution' refer to in a solution?

• A. Adding more solvent to decrease concentration
• B. Adding more solute to increase concentration
• C. Reducing the temperature to increase solubility
• D. Increasing pressure to increase solubility

Correct answer: A

Rationale: The term 'dilution' in a solution refers to adding more solvent to decrease the concentration of the solution. Dilution involves reducing the concentration of the solute in the solution by increasing the amount of solvent. Choice B is incorrect because adding more solute would increase the concentration, not decrease it. Choices C and D are also incorrect as they relate to factors affecting solubility, not dilution specifically. Therefore, choice A is the correct answer as it accurately defines the process of dilution in a solution.

3. Which of the following statements about the passage is true?

• A. These cookies should be baked on a baking rack
• B. These cookies cannot be cooked in a microwave oven
• C. Folding in peanut butter must be done gently
• D. Beating egg whites involves stirring them vigorously

Correct answer: D

Rationale: The correct statement about the passage is that beating egg whites involves stirring them vigorously. In the provided extract, it mentions 'Beat egg white until foamy. Stir in sugar, beat again until stiff peaks form.' This process of beating the egg whites until stiff peaks form requires vigorous stirring. Choice A is incorrect because the passage does not mention using a baking rack for cooking the cookies. Choice B is incorrect as the passage provides instructions for baking the cookies in an oven. Choice C is incorrect as the passage does not emphasize the need for gentle folding when mixing in the peanut butter.

4. What is 4.6 rounded to the nearest integer?

• A. 3
• B. 4
• C. 5
• D. 6

Correct answer: C

Rationale: When rounding a decimal number to the nearest integer, if the decimal part is 0.5 or greater, we round up to the next integer; if it is less than 0.5, we round down. In this case, 4.6 is closer to 5 than to 4 because it is exactly halfway between the two integers. Therefore, when rounding 4.6 to the nearest integer, we round up to 5. Choice A (3), B (4), and D (6) are incorrect as they are not the nearest integer to 4.6.

5. Simplify the expression. Which of the following is the value of x? (5(4x – 5) = (3/2)(2x – 6))

• A. −(2/7)
• B. −(4/17)
• C. (16/17)
• D. (8/7)

Correct answer: C

Rationale: To solve the given proportion 5(4x – 5) = (3/2)(2x – 6), first distribute to get 20x - 25 = 3x - 9. Then, simplify the linear equation by isolating x: 20x - 3x = 25 - 9, which leads to 17x = 16. Finally, solving for x gives x = 16/17. Choice A is incorrect as it does not match the calculated value of x. Choice B is incorrect as it does not correspond to the correct solution for x. Choice D is incorrect as it does not align with the accurate value of x obtained from solving the equation.

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