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2 years ago

7/9 - 2/8 × 4/9 A.5/9 B.48/72 C.20.9 D.2/3

Mathematics

1 answer:

zysi [14]2 years ago

8 0

Answer:

2/3

Step-by-step explanation:

7/9 - 2/8 x 4/9

Reduce the fraction.

7/9 - 1/4 x 4/9

Reduce the numbers:

7/9 - 1/9

Subtract the fractions.:

6/9 > 2/3

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3 years ago

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2 years ago

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2 years ago

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

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Answer

According to newton law of cooling

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

and

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now At Ta = 100

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T₁ = 12° C

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C = -90

now,

$12 = -90e^k + 100$

$e^k = \dfrac{88}{90}$

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

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

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

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t = 48.88 s

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b) time taken to reach 98°C

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$98 = -90(\dfrac{88}{90})^t + 100$

$(\dfrac{88}{90})^t = \dfrac{1}{45}$

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

t = 390 s

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2 years ago