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expeople1 [14]
2 years ago
12

Bryan has a collection of baseball cards which he shares equally with his brother,

Mathematics
1 answer:
Rus_ich [418]2 years ago
3 0

Answer:

12

Step-by-step explanation:

If he shares it equally with his brother, that is 12÷2=6

Then he receives 2, so 2+6=8

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A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling water. How long will it tak
IgorC [24]

Answer

According to newton law of cooling

\dfrac{d T}{dt} = k (T - T_a)

and

T = Ce^{kt} + T_a

now At Ta = 100

T₀ = 10 °C

T₁ = 12° C

T(0) = Ce^{0} + T_a

10 = C + 100

C = -90

now,

12 = -90e^k + 100

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k = ln{\dfrac{88}{90}}

at time equal to t

T(t) = 70

T(t) = -90 (\dfrac{88}{90})^t + 100

70 = -90(\dfrac{88}{90})^t + 100

(\dfrac{88}{90})^t = \dfrac{1}{3}

t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{3})

t = 48.88 s

hence, after 48.88 s the temperature of the body will be 70°C

b) time taken to reach 98°C

T(t) = -90 (\dfrac{88}{90})^t + 100

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t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{45})

t = 390 s

hence, after 390 s the temperature of the body will be 98°C

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3 years ago
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