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2 years ago

Evaluate the following expression [13+(14-10)×2]÷7

2 answers:

7 0

PEMDAS
Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction

(13 + (14 - 10)2)/7
add numbers in parenthesis
(13 + (4)2)/7
multiply 4*2 add to 13
(13 + 8)/7
(21)/7
divide by 7
= 3

Marianna [84]2 years ago

4 0

The answer is for this expression 4.85

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A tank contains 90 kg of salt and 1000 L of water. A solution of a concentration 0.045 kg of salt per liter enters a tank at the

Andreyy89

Answer:

Step-by-step explanation:

concentration = amount of salt/solution

A) Initial concentration= 90/1000 = 0.09

Q = quantity of salt

Q(0) = 90 kg

Inflow rate = 8 l/min

Outflow rate = 8 l/min

Solution = 1000 L at any time t.

Salt inflow = 0.045 * 8 per minute

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This is mixed and drains from the tank.

Outflow = $\frac{Q(t)}{1000}$

Thus rate of change of salt

Q'(t) = inflow - outflow = $0.36-\frac{Q(t)}{1000} \\=\frac{360-Q(t)}{1000}$

Separate the variables and integrate

$\frac{1000dQ}{360-q(t)} =dt\\-1000 ln |360-Q(t)| = t+C\\ln |360-Q(t)| = -0.001+C'\\360-Q(t) = Ae^{-0.001t} \\Q(t) = 360-Ae^{-0.001t}$

Use the fact that Q(0) = 90

90 = 360-A

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