I need help please and can you also explain how you got the answer

Mathematics

1 answer:

pashok25 [27]2 years ago

3 0

Hello! Let’s start with multiplying them so they will have the same base! 2(2/3) = 4/6

Alright, now let’s divide them!

4/6 / 5/6 equals to 4 / 6 x 6 / 5 which is equal to 24 / 30 but I only see 2/3 times 6 / 5 WHICH IS the same thing tho.

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Rewrite the expression as a single power with a negative exponent

goblinko [34]

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let's recall that

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2 years ago

Two sides of a triangle measure 5in. And 12in. Which could be the length of the third side ?

AleksAgata [21]

Answer:

Step-by-step explanation:

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3 years ago

A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drain

MissTica

Answer:

(a) 60 kg; (b) 21.6 kg; (c) 0 kg/L

Step-by-step explanation:

(a) Initial amount of salt in tank

The tank initially contains 60 kg of salt.

(b) Amount of salt after 4.5 h

$\text{Let A = mass of salt after t min}\\\text{and }r_{i} = \text{rate of salt coming into tank}\\\text{and }r_{0} =\text{rate of salt going out of tank}$

(i) Set up an expression for the rate of change of salt concentration.

$\dfrac{\text{d}A}{\text{d}t} = r_{i} - r_{o}\\\\\text{The fresh water is entering with no salt, so}\\ r_{i} = 0\\r_{o} = \dfrac{\text{3 L}}{\text{1 min}} \times \dfrac {A\text{ kg}}{\text{1000 L}} =\dfrac{3A}{1000}\text{ kg/min}\\\\\dfrac{\text{d}A}{\text{d}t} = -0.003A \text{ kg/min}$

(ii) Integrate the expression

$\dfrac{\text{d}A}{\text{d}t} = -0.003A\\\\\dfrac{\text{d}A}{A} = -0.003\text{d}t\\\\\int \dfrac{\text{d}A}{A} = -\int 0.003\text{d}t\\\\\ln A = -0.003t + C$