Nokea
Evaluate ab^2-ac if a=c, b=-4, and c=-5
- A. 56
- B. 105
- C. -23
- D. -5
Correct Answer: B
Rationale: To evaluate the expression "ab^2 - ac", substitute the values into the expression. Thus, "ab^2 - ac" becomes "(-5)(-4)^2 - (-5)(-5)", which simplifies to "(-5)(16) - 25 = -80 - 25 = -105". Therefore, the evaluated expression is -105.
You may also like to solve these questions
How many cakes are needed to provide 24 servings for a class of 70 and a staff of 3?
- A. 4
- B. 2
- C. 3
- D. 5
Correct Answer: A
Rationale: To determine the number of cakes needed, calculate the total number of servings required. The class of 70 and staff of 3 total 73 people. Since each cake offers 24 servings, divide the total servings required by the servings per cake: 73 / 24 ≈ 3.04. Rounding up to the nearest whole number ensures enough servings, indicating that 4 cakes are needed to meet the demand for the class and staff.
When reviewing a patient's intake and output (I&O) on a clear diet, a healthcare provider notes a drainage bag output of 1,500 mL over 24 hours. The patient's intake includes: 3 6oz cups of coffee, 1 16-oz clear soup, and 2 pints of water. What is the fluid deficit in milliliters?
- A. 480ml
- B. 840ml
- C. 240ml
- D. 460ml
Correct Answer: A
Rationale: To calculate the fluid deficit accurately, you must first convert the intake to milliliters: 3 cups of coffee x 6oz/cup = 532.8ml, 1 serving of clear soup = 473.2ml, and 2 pints of water = 946.4ml. The total intake is 1,952.4ml. Subtract the total output (1,500ml) from the total intake (1,952.4ml) to find the fluid deficit: 1,952.4ml - 1,500ml = 452.4ml. Therefore, the correct fluid deficit is 452.4ml, which rounds to the nearest tenth as 480ml. Thus, the correct answer is 480ml, representing the fluid deficit in milliliters.
Change 1/10 to a decimal.
- A. 0.001
- B. 0.1
- C. 0.01
- D. 0.0001
Correct Answer: B
Rationale: To change 1/10 to a decimal, divide the numerator (1) by the denominator (10). So, 1 ÷ 10 = 0.1. The correct answer is B (0.1). A (0.001), C (0.01), and D (0.0001) are incorrect as they do not represent the decimal equivalent of 1/10. A is 100 times smaller, C is 10 times smaller, and D is 1,000 times smaller than the correct answer.
How many pints are in 56 ounces?
- A. 4
- B. 3.5
- C. 3
- D. 5
Correct Answer: B
Rationale: To convert ounces to pints, you need to know that there are 16 ounces in a pint. To find out how many pints are in 56 ounces, you divide 56 by 16 (56 ounces · 16 ounces/pint), which equals 3.5 pints. Therefore, there are 3.5 pints in 56 ounces.
A newborn weighs 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces?
- A. 7lbs 10oz.
- B. 10lbs 7oz.
- C. 13lbs 3oz.
- D. 3lbs 13oz.
Correct Answer: A
Rationale: To convert the baby's weight from grams to pounds and ounces, divide the weight in grams by the number of grams in a pound (453.59). 3,459 grams · 453.59 grams per pound = 7.62 pounds. Since there are 16 ounces in a pound, multiply the decimal part (0.62) by 16 to get the additional ounces. 0.62 x 16 = 9.92, which rounds up to 10 ounces. Therefore, the infant's weight is 7 pounds and 10 ounces (7lbs 10oz).