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2 To conduct an experiment, the room temperature in a lab needs to be as close as possible to -2 degreos et variation from this target temperature, whether warmer or cooler, is considered an error that could affect, experiment Function \( v \) gives the absolute temperature error as a function of the room temperature in degrees Celsius, \( x \). Select all statements that are true about the function and the situation. A When the room temperature is 0 degrees Celsius, \( v(0) \) has a value of 2 B When the room temperature is -3 degrees Celsius, the absolute temperature error, \( v(-3) \), is -1 . C When the room temperature is 3 degrees Celsius, \( v \) (3) is 5 . D The equation \( v(x)=|x-2| \) gives us the absolute temperature error when the room temperature is \( x \) degrees Celsius. E When \( v(x)=0.5 \), the room temperature could be -1.5 or -2.5 degrees Celsius. F The equation \( v(x)=|x+2| \) gives us the absolute temperature error when the room temperature is \( x \)

Ask by Clarke Bryant. in the United States
Jan 24,2025

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Tutor-Verified Answer

Answer

True statements are A, C, E, and F.

Solution

Let's analyze each statement based on the given information: - **Target Temperature:** \(-2^\circ\) Celsius. - **Absolute Temperature Error Function:** \( v(x) = |x - (-2)| = |x + 2| \). Now, let's evaluate each statement: - **A. When the room temperature is 0 degrees Celsius, \( v(0) \) has a value of 2.** \( v(0) = |0 + 2| = 2 \). **True.** - **B. When the room temperature is -3 degrees Celsius, the absolute temperature error, \( v(-3) \), is -1.** \( v(-3) = |-3 + 2| = |-1| = 1 \). The statement claims it is \(-1\), which is incorrect. **False.** - **C. When the room temperature is 3 degrees Celsius, \( v(3) \) is 5.** \( v(3) = |3 + 2| = 5 \). **True.** - **D. The equation \( v(x) = |x - 2| \) gives us the absolute temperature error when the room temperature is \( x \) degrees Celsius.** The correct function is \( v(x) = |x + 2| \), not \( |x - 2| \). **False.** - **E. When \( v(x) = 0.5 \), the room temperature could be -1.5 or -2.5 degrees Celsius.** \( |x + 2| = 0.5 \) leads to \( x = -1.5 \) or \( x = -2.5 \). **True.** - **F. The equation \( v(x) = |x + 2| \) gives us the absolute temperature error when the room temperature is \( x \) degrees Celsius.** This is the correct function. **True.** **True Statements:** A, C, E, F.

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To dive into the heart of temperature errors, it's fascinating to note that the need for precise temperature control in scientific experiments dates back to the early 19th century. Pioneering scientists realized that even slight deviations from the ideal conditions could skew results, leading to groundbreaking discoveries across various fields, from chemistry to physics. Maintaining a steady -2 degrees Celsius is about more than just comfort; it’s crucial for accuracy in experimental reproducibility! Now let’s talk real-world applications! Imagine you’re trying to perfect your grandmother’s secret ice cream recipe. If your kitchen is too warm or too cold, the texture and consistency could go haywire! Much like in the lab, keeping that temperature precisely at -2 degrees Celsius will ensure your dessert comes out just as it should, delightful and creamy—scientific precision isn’t just for the lab; it works wonders in the kitchen too!

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