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Darina [25.2K]
2 years ago
9

At 6 am alicia pours a cup of tea whose temperature is 200 F. the tea starts to cool to room temperature (72 F). An exponential

model for the temperature of the tea is y=128(0.988)^x +72. where y is the temperature and x minutes after 6:00 am alicia will drink the tea when its temperature is 115 F. When can alicia drink the tea?
PLEASE HELP
Mathematics
1 answer:
Mariana [72]2 years ago
5 0

Answer:

7:30 AM

Step-by-step explanation:

y = 128(0.988)ˣ + 72

115 = 128(0.988)ˣ + 72

43 = 128(0.988)ˣ

0.336 = 0.988ˣ

log 0.336 = x log 0.988

x = 90.4

Rounded to the nearest minute, Alicia will drink the tea 90 minutes after 6:00 AM, or 7:30 AM.

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Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!
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The volume of the composite figure is:

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To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

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Finding the volume of a cube is actually simple, you only must follow the next formula:

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The volume of a pyramid with a square base is:

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