HESI A2
HESI A2 Quizlet Math
1. A honeycomb cell has six equal sides, each measuring 8mm. What is its perimeter?
- A. 32mm
- B. 40mm
- C. 48mm
- D. 56mm
Correct answer: C
Rationale: To find the perimeter of a shape with equal sides, you multiply the length of one side by the number of sides. In this case, the honeycomb cell has 6 sides, each measuring 8mm. Therefore, the perimeter is calculated as perimeter = number of sides * side length = 6 * 8mm = 48mm. Choices A, B, and D are incorrect because they do not correctly calculate the total length around the honeycomb cell with six sides.
2. The plane is due to land at 6:20 P.M. What would that be in military time?
- A. 620
- B. 1820
- C. 6020
- D. 6200
Correct answer: B
Rationale: In military time, the afternoon and evening hours are represented by adding 12 to the standard time. Therefore, 6:20 P.M. would be equivalent to 18:20 in military time. To convert from P.M. to military time, simply add 12 hours to the given time. Choice A, '620,' is incorrect because it does not account for converting to military time. Choice C, '6020,' is incorrect as military time uses a 24-hour clock format, and the hour digit should not exceed 23. Choice D, '6200,' is incorrect as it does not follow the military time format where the hour part ranges from 00 to 23.
3. Solve for y if y = 3: 4y + 21 / y.
- A. 7.7
- B. 19
- C. 23/3
- D. 11
Correct answer: B
Rationale: To solve for y, substitute y = 3 into the equation: 4(3) + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A (7.7) is incorrect as it does not result from the substitution. Choice C (23/3) is incorrect as it does not match the calculated value. Choice D (11) is incorrect, as it is not the result of the provided equation.
4. What number is 15, if it is 20% of that number?
- A. 3
- B. 45
- C. 75
- D. 300
Correct answer: B
Rationale: To find the number that 15 is 20% of, we set up the equation: x * 0.20 = 15. Solving for x, we get x = 15 / 0.20 = 75. Therefore, 15 is 20% of 75. Choice A, 3, is too small to be 20% of 15. Choice C, 75, is the result of the correct calculation. Choice D, 300, is too large to be 20% of 15.
5. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?
- A. -5
- B. i^5
- C. 5√-1
- D. 1/5i
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.
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