Nursing Elites

1. Which of the following is the y-intercept of the line whose equation is 7y − 42x + 7 = 0?

• A. (1/6, 0)
• B. (6, 0)
• C. (0, −1)
• D. (−1, 0)

Correct answer: C

Rationale: To find the y-intercept, set x = 0 in the equation 7y − 42x + 7 = 0. This simplifies to 7y - 42(0) + 7 = 0, which gives 7y = -7. Solving for y, we get y = -1. Therefore, the y-intercept is where x = 0, so the correct answer is (0, -1). Choice A (1/6, 0) is incorrect as it does not satisfy the given equation when x = 0. Choice B (6, 0) is incorrect as it represents the x-intercept. Choice D (-1, 0) is incorrect as it does not correspond to the y-intercept of the given equation.

2. Of the individuals described below, who seems like the best applicant for the roommate advertisement?

• A. Frances is a research assistant in the science department and owns a Yorkshire terrier.
• B. Adelaide works in the humanities department and is seeking a three-month rental.
• C. Cosette is allergic to cigarette smoke and requires a quiet place to study.
• D. Felix is a graduate student in the history department and does not own a car.

Correct answer: C

Rationale: The best applicant for the roommate advertisement is Cosette. The ad specifies that the current occupants are quiet, the house is clean/smoke-free, and no pets are allowed. Cosette is allergic to cigarette smoke, indicating she is a non-smoker and prefers a smoke-free environment. She also needs a quiet place to study, aligning with the quiet environment mentioned in the ad. Additionally, the ad prefers long-term applicants, and Cosette's need for a quiet place to study implies she will likely remain for an extended period. Frances owning a Yorkshire terrier goes against the ad's 'no pets' policy. Adelaide seeking a three-month rental does not align with the preference for long-term applicants. Felix not owning a car is not relevant to the criteria set by the ad.

3. Simplify (x^2 - y^2) / (x - y)

• A. x + y
• B. x - y
• C. 1
• D. (x + y)/(x - y)

Correct answer: A

Rationale: The expression 𝑥^2 - 𝑦^2 is a difference of squares, which follows the identity: 𝑥^2 - 𝑦^2 = (𝑥 + 𝑦)(𝑥 - 𝑦). Therefore, the given expression becomes: (𝑥^2 - 𝑦^2) / (𝑥 - 𝑦) = (𝑥 + 𝑦)(𝑥 - 𝑦) / (𝑥 - 𝑦). Since (𝑥 - 𝑦) appears in both the numerator and the denominator, they cancel each other out, leaving 𝑥 + 𝑦. Thus, the simplified form of (𝑥^2 - 𝑦^2) / (𝑥 - 𝑦) is 𝑥 + 𝑦. Therefore, the correct answer is A (x + y). Option B (x - y) is incorrect as it does not result from simplifying the given expression. Option C (1) is incorrect as it does not account for the variables x and y present in the expression. Option D ((x + y)/(x - y)) is incorrect as it presents the simplified form in a different format than the correct answer.

4. What are Merkel cells, located in the epidermis, specialized for?

• A. Melanin production
• B. Temperature sensation
• C. Touch perception
• D. Immune defense

Correct answer: C

Rationale: Merkel cells are specialized touch receptors located in the epidermis of the skin. Their primary function is to perceive light touch and pressure. They play a crucial role in the sensory perception of touch stimuli. Option A, melanin production, is incorrect because Merkel cells are not involved in producing melanin. Option B, temperature sensation, is incorrect as Merkel cells are not specialized for sensing temperature. Option D, immune defense, is also incorrect as Merkel cells do not have a role in immune defense mechanisms.

5. Two mice are both heterozygous for two traits: white fur (Ww) and short fur (Ss). Their offspring are most likely to have which of the following genotypes for these traits?

• A. wwss
• B. WWSS
• C. WwSs
• D. WWSs

Correct answer: C

Rationale: When two mice that are heterozygous for white fur (Ww) and short fur (Ss) mate, they can produce offspring with different combinations of the two traits. The Punnett square for this cross shows that the most likely genotype for the offspring is WwSs. In this case, each offspring receives one allele for white fur (W) and one for short fur (S) from each parent, resulting in a heterozygous genotype for both traits. Choice A (wwss) is incorrect as it represents a homozygous recessive genotype for both traits. Choice B (WWSS) is also incorrect as it represents a homozygous dominant genotype for both traits. Choice D (WWSs) is incorrect as it represents a genotype where one trait is homozygous dominant (W) and the other is heterozygous (S), which is not the most likely outcome based on the given parental genotypes.

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