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Hitman42 [59]
3 years ago
9

Is 3/12 Rational or Irrational

Mathematics
2 answers:
valentinak56 [21]3 years ago
7 0
Rational....because it can be written as a ratio
noname [10]3 years ago
5 0
Any number that you can write as a fraction with whole numbers on top and bottom is a rational number. You did that so the number is rational. Any number that you can completely write down with digits is a rational number. You did that so the number is rational.
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The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6.
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Newton's Law of Cooling states that the change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature over time.

Therefore when expressed mathematically, this is equivalent to:

dT = - k (T – Ts) dt

dT / (T – Ts) = - k dt

Integrating:

ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)

Before we plug in the values, let us first convert the temperatures into absolute values R (rankine) by adding 460.

R = ˚F + 460

T1 = 200 + 460 = 660 R

Ts = 70 + 460 = 530 R

ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)

T2 = 569.16 R

T2 = 109 ºF

Answer: After 2 hours, it will be 109 ºF

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Mixed Number Form:  1  1/ 14

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2 years ago
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