Convert 0.075 mg to micrograms.

Correct Answer: D

Rationale: To convert milligrams to micrograms, you need to multiply by 1000, not 10000. Therefore, to convert 0.075 mg to mcg, you multiply 0.075 by 1000, giving you 75 mcg. The correct answer is not provided in the choices, and the correct conversion is 75 mcg, which is not listed as an option. Choices A, B, and C are incorrect because they do not reflect the correct conversion factor. Choice D, 750 mcg, is a common mistake made by incorrectly adding a zero. It is important to remember that the conversion from milligrams to micrograms involves multiplying by 1000, not adding extra zeros.

Correct Answer: B

Rationale: The correct answer is B: derived units. When base units (such as grams or milliliters) are combined, as seen in g/mL (grams per milliliter) for density, they form derived units. Derived units measure complex quantities that are derived from combinations of base units. Choice A, 'combined units,' is incorrect as it does not specifically refer to the formation of new units from base units. Choice C, 'base units,' is incorrect because base units are the fundamental units from which all other units are derived, not the combinations of units. Choice D, 'calculated units,' is incorrect as it does not accurately describe the concept of combining base units to form a new unit like g/mL for density.

Correct Answer: B

Rationale: The correct formula for calculating the volume of a solid object is V = L x W x H, where L represents the length, W represents the width, and H represents the height. Choice A (V = W/L) is incorrect as it represents a division operation, not multiplication. Choice C (V = W/H) is incorrect as it does not account for the width and height. Choice D (V = L/W) is incorrect as it represents the inverse operation of what is needed to calculate volume.

Correct Answer: A

Rationale: To convert 0.26 to a fraction, we write it as 26/100. To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2 in this case. Dividing 26 and 100 by 2 results in 13/50. Therefore, 0.26 as a fraction in simplest form is 13/50. Choice B (26/100) is the original form of the decimal, not simplified. Choice C (26/1000) is incorrect as it doesn't match the decimal representation. Choice D (1/4) is not the equivalent fraction for 0.26.

Correct Answer: C

Rationale: To convert liters to milliliters, you need to multiply by 1000 since there are 1000 milliliters in 1 liter. Therefore, 3.75 liters x 1000 = 3750 milliliters. This means that option C, 3750 ml, is the correct conversion. Choices A, B, and D are incorrect because they do not reflect the correct conversion from liters to milliliters.

Correct Answer: B

Rationale: The correct formula to convert Fahrenheit to Celsius is C = (F - 32) 5/9. This formula is derived from the relationship between the two temperature scales. The incorrect choices can be ruled out as follows: A. F = (C 9/5) + 32 - This formula is used to convert Celsius to Fahrenheit. C. C = (F - 32) 9/5 - This formula incorrectly multiplies by 9/5 instead of dividing. D. F = (C + 32) 5/9 - This formula does not subtract the constant 32 from the Fahrenheit value.

Correct Answer: A

Rationale: To convert centimeters to millimeters, you need to multiply by 10 since 1 centimeter equals 10 millimeters. Therefore, 0.5 centimeters is equal to 5 millimeters (0.5 * 10 = 5). Choice A, '5 mm,' is the correct answer. Choice B, '0.5 mm,' is incorrect as it would be equivalent to half a millimeter. Choice C, '50 mm,' is incorrect as it represents 50 millimeters, which would be the equivalent of 5 centimeters. Choice D, '0.05 mm,' is incorrect as it represents 0.05 millimeters, which is a fraction of 1 millimeter.

Correct Answer: A

Rationale: The correct formula to convert Celsius to Fahrenheit is (C 9/5) + 32. This formula involves multiplying the Celsius temperature by 9/5 and then adding 32 to get the Fahrenheit temperature. Choice B is incorrect as it suggests dividing by 5/9 instead of multiplying by 9/5. Choices C and D are both incorrect because they involve using the Fahrenheit temperature in the calculation, which is not the correct method for converting Celsius to Fahrenheit.

Correct Answer: B

Rationale: To convert kiloliters to liters, you multiply by 1,000. Therefore, 1 kiloliter 1,000 = 1,000 liters. Choice A (100 liters) is incorrect because it represents only 1/10th of a kiloliter. Choice C (10 liters) is incorrect as it represents only 1/100th of a kiloliter. Choice D (10,000 liters) is incorrect as it is 10 times bigger than a kiloliter.