Nursing Elites

1. What determines the final velocity of a block sliding down a frictionless inclined plane?

• A. The length of the incline
• B. The angle of the incline
• C. The mass of the block
• D. All of the above

Correct answer: B

Rationale: The final velocity of a block sliding down a frictionless inclined plane is determined by the angle of the incline. The angle directly impacts the acceleration of the block, affecting the final velocity it attains at the bottom. The length of the incline and the mass of the block do not play a direct role in determining the final velocity. Therefore, the correct answer is the angle of the incline (Choice B). Choices A and C are incorrect because the length of the incline and the mass of the block do not have a direct influence on the final velocity of the block in this scenario.

2. How many grams are in one kilogram?

• A. 100 grams
• B. 1000 grams
• C. 500 grams
• D. 2000 grams

Correct answer: B

Rationale: The correct answer is B: 1000 grams. This is because by definition, 1 kilogram is equal to 1000 grams. Choice A, 100 grams, is incorrect as it underestimates the actual conversion. Choice C, 500 grams, and Choice D, 2000 grams, are also incorrect as they do not align with the correct conversion factor of 1 kilogram to 1000 grams.

3. Here's what I'd like you to bring tomorrow: two dozen cupcakes, a carton of milk, and party napkins. Which of the following punctuation marks best completes the sentence above?

• A. ;
• B. .
• C. :
• D. ,

Correct answer: C

Rationale: The correct answer is a colon (C). In this sentence, the colon is used to introduce a list of items that the speaker wants you to bring. The colon is the most suitable punctuation mark in this context. Choice A (;) is incorrect because a semicolon is used to connect independent clauses or items in a list when those items contain commas. Choice B (.) is incorrect because a period ends a sentence and does not fit here as the sentence continues. Choice D (,) is incorrect because a comma is used to separate items in a list, but the sentence needs a punctuation mark that introduces the list.

4. A farmer plans to install fencing around a certain field. If each side of the hexagonal field is 320 feet long, and fencing costs $1.75 per foot, how much will the farmer need to spend on fencing material to enclose the perimeter of the field?

• A. $2,240
• B. $2,800
• C. $3,360
• D. $4,480

Correct answer: C

Rationale: To find the perimeter of a hexagonal field with 6 sides, multiply the length of one side (320 feet) by the number of sides (6): 320 x 6 = 1920 feet. The total cost of the fencing material can be calculated by multiplying the perimeter by the cost per foot: 1920 feet x $1.75 = $3360. Therefore, the farmer will need to spend $3,360 on fencing material to enclose the perimeter of the field. Choice A, B, and D are incorrect as they do not accurately calculate the total cost based on the given measurements and cost per foot.

5. Which of the following describes a graph that represents a proportional relationship?

• A. The graph has a slope of 2,500 and a y-intercept of 250
• B. The graph has a slope of 1,500 and a y-intercept of -150
• C. The graph has a slope of 2,000 and a y-intercept of 0
• D. The graph has a slope of -1,800 and a y-intercept of -100

Correct answer: C

Rationale: A graph that has a y-intercept of 0 indicates a proportional relationship because the starting value is 0, and no amount is added to or subtracted from the term containing the slope. In this case, choice C is correct as it has a y-intercept of 0, which aligns with the characteristics of a proportional relationship. Choices A, B, and D have non-zero y-intercepts, indicating a starting value other than 0, which does not represent a proportional relationship.

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