HESI A2 Math

Correct Answer: B

Rationale: The correct answer is B (6:00 PM). Taking the medication 12 hours apart from the first dose at 8:00 AM ensures it's evenly spaced throughout the day. 6:00 PM is the most convenient time as it allows for the second dose without disrupting sleep, as it falls after dinner but before bedtime. Choice A (4:00 PM) is too early, which may lead to missing the second dose during the evening. Choices C (8:00 PM) and D (10:00 PM) are too late and might interfere with sleep if taken too close to bedtime. Thus, B is the best option for maintaining the medication schedule effectively.

Correct Answer: B

Rationale: The correct answer is B: Yes, it is within the normal range. A potassium level of 4.5 mmol/L falls within the normal range of 3.5 to 5.3 mmol/L. Therefore, it is not too low (Option A) or too high (Option C). Additional information is not required to determine that 4.5 mmol/L is within the normal range, making Option D incorrect.

Correct Answer: A

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total distance covered. In this case, 2,274 calories ÷ 21.6 miles = 105.28 calories per mile (rounded to two decimal places), which matches option A. This calculation is based on the fundamental concept of division, where the total calories are distributed evenly over the total distance. Choices B, C, and D are incorrect as they do not match the calculated rate. This question tests basic division skills and understanding of calculating rates.

Correct Answer: C

Rationale: The total surface area of the fountain consists of the surface area of the spherical base and the lateral surface area of the cylindrical body. To calculate the surface area of the spherical base, we use the formula 4πr^2, where r is the radius of the sphere (25 cm). This gives us 4π(25)^2 = 5000π sq cm. The lateral surface area of the cylindrical body is calculated using the formula 2πrh, where r is the radius (15 cm) and h is the height (80 cm). This gives us 2π(15)(80) = 2400π sq cm. Adding these two areas together gives a total surface area of 7400π sq cm, which is approximately 23256 sq cm. The correct answer, 5486 sq cm, is the closest approximation to the actual total surface area. Choice A is incorrect because it is the surface area of the spherical base only. Choices B and D

Correct Answer: C

Rationale: To find the length of the second building's shadow, we can use the concept of similar triangles. The ratio of the first building's height to its shadow length is 1700/525. Since the second building is shorter, the ratio should remain the same. Cross-multiplying, we get (1700/525) = (1450/x), where x is the length of the shadow of the second building. Solving for x gives x = (1450*525)/1700 = 448.5 feet. Therefore, choice C is correct. Choices A, B, and D are incorrect because they do not correctly calculate the length of the shadow using the given information and the concept of similar triangles.