Solve the Problem $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$

question 515

Multiple Choice

Solve the problem.
-A thermometer reading 33°F is brought into a room with a constant temperature of 80°F. If the thermometer reads 45°F after 4 minutes, what will it read after being in the room for 6 minutes? Assume the cooling follows
Newton's Law of Cooling: $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$ (Round your answer to two decimal places.)

• A) 25.32°F
• B) 71.98°F
• C) 49.8°F
• D) 110.2°F

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Definitions:

Machine Hours

Machine hours refer to the total time that a piece of machinery or equipment is operated within a specific period, often used as a basis for allocating manufacturing overhead costs.

Perpetual System

An inventory management system that continuously updates inventory records, reflecting purchases and sales in real-time.

First-In, First-Out

An inventory valuation method that assumes that the first items placed in inventory are the first items sold, ideal for products that are perishable or have a short shelf life.

Predetermined Overhead Rate

A rate calculated before a period begins, based on the estimated overhead costs and estimated activity base, used to allocate overhead costs to products or services.