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gogolik [260]
2 years ago
12

How many different ways are there to arrange the letters of the word PRISM?

Mathematics
1 answer:
Advocard [28]2 years ago
6 0

Answer:

5! (5 factorial) or 120 ways

Step-by-step explanation:

You can arrange P different ways. R can be arranged only 4 different ways because Pwill be in one of the spots. Next, you can arrange "I" 3 different ways because P and R are already arranged in 2 spots, meaning you cant put "I" there. Next, S can be arranged in 2 different ways for the same reason. And lastly, M can only be arranged in 1 different way because the other spots are taken.

You can put it in any order. For example, M could be arranged 5 ways and P could be arranged in 1 way. You will still get 120 ways

Hopefully this helped. The explanation might be a bit confusing but I tried my best. I'm not good with explaining my solutions but I always try

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3 years ago
A pan is heated to 393°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 6
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Answer:

The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

Step-by-step explanation:

The formula for D, the difference in temperature between the pan and the room after t minutes is:

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Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:

D = 324\cdot e^{-0.05t}

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Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:

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206.59 = P - 69

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Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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