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: To convert kilometers to meters, we need to multiply by 1000 since there are 1000 meters in 1 kilometer. Therefore, 3 kilometers x 1000 = 3000 meters. This is why choice A (3000 meters) is correct. Choices B, C, and D are incorrect because they do not follow the conversion factor of 1000 meters in 1 kilometer. Choice B (2000 meters) is too low, choice C (3500 meters) is too high, and choice D (2500 meters) is also too low.

Correct Answer: C

Rationale: To calculate the number of trees, we need to determine the area available for planting trees after considering the space each tree requires. The total area of the rectangular field is 650m * 780m = 507,000 sq. meters. Each tree requires a space of (5+5) meters horizontally and (5+5) meters vertically around it, totaling 10m * 10m = 100 sq. meters per tree. Therefore, the area needed for each tree is 100 sq. meters. To find the number of trees that can be planted, we divide the total area of the field by the area needed for each tree: 507,000 sq. meters / 100 sq. meters per tree = 5070 trees. However, since the space around the boundary cannot accommodate a full tree, we have to deduct the trees that cannot be planted along the boundary. The number of trees that cannot be planted along the length of the field = 780m /

Correct Answer: B

Rationale: To find the percentage of brown horses, we need to calculate the total number of horses first. Total = 10 (black) + 6 (brown) + 8 (two-color) + 3 (white) = 27 horses. Next, calculate the percentage of brown horses: (6 brown horses / 27 total horses) x 100% = 22.22%. Since we need to round to the nearest whole number, the percentage of brown horses is 22%, which is closest to choice B (20%). Therefore, the correct answer is B. Explanation for other choices: A: 15% - Incorrect because the percentage of brown horses is closer to 22%. C: 25% - Incorrect because the percentage of brown horses is not as high as 25%. D: 30% - Incorrect because the percentage of brown horses is lower than 30%.

Correct Answer: B

Rationale: To solve the equation 4y - 6 = 14 for y: 1. Add 6 to both sides: 4y = 20 2. Divide by 4 to isolate y: y = 5 Therefore, the correct answer is B. Choice A is incorrect as 4 is not the solution. Choices C and D are also incorrect as they do not satisfy the equation when substituted back in.