imaginary unit multiples are used to represent numbers that cannot be obtained on the number line which of the following is equivalent to 5i
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HESI A2

HESI A2 Math Practice Test 2023

1. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?

Correct answer: C

Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.

2. A delivery of medical supplies includes 36 boxes. If each box weighs 2.5 pounds, what is the total weight of the delivery?

Correct answer: A

Rationale: To find the total weight of the delivery, you need to multiply the number of boxes (36) by the weight of each box (2.5 pounds). This gives you 36 boxes * 2.5 pounds = 90 pounds, which is the correct answer. Choice B (75 pounds), C (120 pounds), and D (100 pounds) are incorrect because they do not correctly calculate the total weight based on the given information.

3. Train A leaves the station at 1:45 traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15, how many miles did it travel?

Correct answer: A

Rationale: Train A traveled for 1.5 hours at a speed of 65 mph. To find the distance traveled, we use the formula Distance = Speed x Time. Distance = 65 mph x 1.5 hours = 97.5 miles. Therefore, the correct answer is 97.5 miles. Choice B (75 miles) is incorrect because it does not account for the full 1.5 hours of travel time. Choice C (100 miles) and Choice D (130 miles) are incorrect as they are not calculated based on the given speed and time.

4. A stop sign has five equal sides, each measuring 25cm. What is its perimeter?

Correct answer: C

Rationale: Rationale: - Since a stop sign has five equal sides, each measuring 25cm, the perimeter can be calculated by adding up the lengths of all five sides. - Perimeter = 25cm + 25cm + 25cm + 25cm + 25cm = 125cm - Therefore, the perimeter of the stop sign is 125cm.

5. What is 80% of 55?

Correct answer: B

Rationale: To find 80% of a number, you multiply the number by 0.8. Therefore, 80% of 55 is calculated as 0.8 × 55 = 44. Choice A (40), choice C (39), and choice D (45) are incorrect as they do not represent the correct calculation for 80% of 55.

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Divide: 5,117 ÷ 31 =

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