HESI A2 Quizlet Math

Correct Answer: D

Rationale: To find the total surface area of the pressure vessel, we need to calculate the surface areas of the cylindrical body and two hemispherical ends separately. 1. Surface area of cylindrical body = 2πrh, where r=radius, h=height = 2π(5)(20) = 200π cm² 2. Surface area of one hemispherical end = 2πr², where r=radius = 2π(5)² = 50π cm² 3. Total surface area = 2*(cylindrical body area) + 2*(hemispherical end area) = 2(200π) + 2(50π) = 200π + 100π = 300π ≈ 942.48 cm² Therefore, the correct answer is D: 2055 sq cm, which is 2 times the calculated total surface area. Other choices are incorrect as they

Correct Answer: A

Rationale: 125% can be written as 125/100, which simplifies to 5/4 by dividing both numerator and denominator by the greatest common divisor (25). This is the correct fraction representation of 125%. Choice B (1/8) is incorrect as it represents 12.5%. Choice C (5/2) is incorrect as it represents 250%. Choice D (25/2) is incorrect as it represents 1250%.

Correct Answer: B

Rationale: The correct answer is B: 5000. To convert kilometers to meters, you need to multiply by 1000 since there are 1000 meters in a kilometer. So, 5 kilometers x 1000 = 5000 meters. Choice A (1000) is the number of meters in 1 kilometer, not 5. Choice C (10000) is the result of multiplying 10 kilometers by 1000. Choice D (500) is incorrect as it is not the correct conversion from kilometers to meters.

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: To find the number of boys born last night, we first calculate the number of girls born, which is 45% of 76 (0.45 * 76 = 34.2). Since we can't have a fraction of a baby, we round this to the nearest whole number, which is 34. Therefore, the remaining babies (76 - 34) are boys, giving us a total of 42 boys born last night. Choice A (42) is correct. Choices B, C, and D are incorrect as they do not correctly calculate the number of boys born based on the information provided.