half of a circular garden with a radius of 115 feet needs weeding find the area in square feet that needs weeding round to the nearest hundredth use 3
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ATI TEAS 7

TEAS Test Math Questions

1. Half of a circular garden with a radius of 11.5 feet needs weeding. Find the area in square feet that needs weeding. Round to the nearest hundredth. Use 3.14 for π.

Correct answer: B

Rationale: The area of a circle is given by the formula A = π × r², where r is the radius. Since only half of the garden needs weeding, we calculate half the area. Using the given value of π (3.14) and a radius of 11.5 feet: A = 0.5 × 3.14 × (11.5)² A = 0.5 × 3.14 × 132.25 A = 0.5 × 415.27 A = 207.64 square feet. Thus, the area that needs weeding is approximately 207.64 square feet, making option B the correct answer. Choice A (207.64) is incorrect as it represents the total area of the circular garden, not just half of it. Choice C (519.08) and Choice D (726.73) are also incorrect as they do not reflect the correct calculation for finding the area of half the circular garden.

2. What is the name for the change in enthalpy (heat) associated with a chemical reaction at constant pressure?

Correct answer: D

Rationale: The correct answer is D, Heat of reaction. The heat of reaction, also known as the enthalpy change, is the amount of heat absorbed or released during a chemical reaction at constant pressure. Entropy (A) is a measure of the disorder or randomness of a system and is not specifically related to heat changes in a chemical reaction. Enthalpy (B) is the total heat content of a system and not just the change associated with a reaction. Gibbs free energy (C) is a measure of the energy available to do work in a system at constant temperature and pressure, but it is not the specific term for the heat change in a chemical reaction.

3. Which type of nutrient requires the most complex and lengthy digestion process?

Correct answer: B

Rationale: Proteins require the most complex and lengthy digestion process compared to the other nutrient types provided. When proteins are consumed, they undergo a process where they need to be broken down into amino acids, which are essential building blocks of proteins. This intricate digestion process begins in the stomach aided by stomach acid and enzymes, proceeds to the small intestine where further enzymes break down proteins into amino acids, and concludes with the absorption of these amino acids into the bloodstream for various bodily functions. Carbohydrates and fats also require digestion, but the process for breaking down proteins into amino acids is notably more intricate and time-consuming. In contrast, vitamins do not require digestion in the same manner as proteins, carbohydrates, and fats because they are already in a form that can be readily absorbed by the body.

4. Which blood vessels are responsible for carrying oxygenated blood away from the heart to the rest of the body?

Correct answer: B

Rationale: Arteries are the blood vessels responsible for carrying oxygenated blood away from the heart to the rest of the body. Their thick, muscular walls allow them to withstand high pressure and efficiently transport blood to various tissues and organs throughout the body. Veins (choice A) carry deoxygenated blood back to the heart, capillaries (choice C) facilitate the exchange of nutrients and waste products between the blood and tissues, and venules (choice D) are small blood vessels that collect blood from the capillaries and gradually converge into veins.

5. How is the muscular system benefited by regular exercise?

Correct answer: B

Rationale: Regular exercise is beneficial for the muscular system by improving muscle strength and endurance. Exercise helps to build and maintain muscle mass, increase muscle strength, and enhance muscle endurance. It does not decrease muscle mass, make muscles less flexible, or increase the risk of muscle tears when done properly. Therefore, the correct answer is improving muscle strength and endurance, as it aligns with the positive effects of regular exercise on the muscular system.

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