there are 15 yellow and 35 orange balls in a basket how many more yellow balls must be added to make the yellow balls 65
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HESI A2

HESI A2 Math Practice Exam

1. How many more yellow balls must be added to the basket to make the yellow balls constitute 65% of the total number of balls?

Correct answer: B

Rationale: To find the total number of balls needed to make the yellow balls 65% of the total, let x be the total number of balls required. Initially, there are 15 yellow balls. The total number of balls would be 15 + x after adding more yellow balls. The equation to represent this is: (15 + x) / (15 + x) = 0.65 (since the yellow balls need to constitute 65% of the total). Solving this equation gives x = 50, indicating that 50 more yellow balls need to be added to the basket to reach the desired percentage. Choice A, C, and D are incorrect as they do not accurately represent the additional yellow balls needed to achieve the specified percentage.

2. The word watchdog as used in the second paragraph of the passage can best be defined as ___________.

Correct answer: B

Rationale: In this context, "watchdog" refers to a guard or overseer, specifically relating to Lifewings Partners’ mission of ensuring safety and preventing medical errors. The organization acts as a monitor in healthcare settings, which aligns with the definition of a watchdog, confirming that option B is correct.

3. Two balloons with charges of 5 μC each are placed 25 cm apart. What is the magnitude of the resulting repulsive force between them?

Correct answer: B

Rationale: To find the repulsive force between the two charges, we use Coulomb's law: F = k(q1 * q2) / r^2. Here, k is the Coulomb constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the charges (5 μC each), and r is the distance between the charges (25 cm = 0.25 m). Substituting these values into the formula: F = (8.99 x 10^9 Nm^2/C^2)(5 x 10^-6 C)(5 x 10^-6 C) / (0.25 m)^2. Calculating this gives F = 1.8 N. Therefore, the magnitude of the resulting repulsive force between the two balloons is 1.8 N. Choice A, C, and D are incorrect as they do not correctly calculate the force using Coulomb's law.

4. When an individual is under stress, hormones are released. Which of the following is not one of the locations in which hormones are released when under stress?

Correct answer: D

Rationale: During stress, hormones are released from the adrenal cortex, posterior pituitary, and hypothalamus to help the body respond. The parathyroid gland, however, is not typically involved in the stress response by releasing hormones. The posterior pituitary releases hormones like oxytocin and vasopressin, the hypothalamus secretes corticotropin-releasing hormone (CRH) and vasopressin, while the adrenal cortex releases cortisol and aldosterone in response to stress. Therefore, the correct answer is 'Parathyroid.'

5. Identify the overall tone of the essay about Aromatherapy.

Correct answer: B

Rationale: The tone of the essay is uncertain, as the author questions the validity of aromatherapy based on the study's results. The phrasing "does not necessarily prove that aromatherapy is worthless" indicates a hesitance to fully endorse or dismiss its value. This ambiguity throughout the passage reinforces the uncertain tone, aligning it with choice B.

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