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MrMuchimi
2 years ago
9

2 3/5 ÷ 2/3 3 9/10 2 9/10 1 11/15 1 4/5

Mathematics
1 answer:
guapka [62]2 years ago
8 0

Answer:

Solving the expression: 2\frac{3}{5}\div \frac{2}{3} we get \mathbf{3\frac{9}{10}}

Option A is correct.

Step-by-step explanation:

We need to solve the expression: 2\frac{3}{5}\div \frac{2}{3}

We need to divide both the terms.

Solving:

2\frac{3}{5}\div \frac{2}{3}

First we will convert the mixed fraction into improper one

\frac{13}{5}\div \frac{2}{3}

Now, we will convert division sign into multiplication, the term 2/3 is reciprocated

\frac{13}{5}\times \frac{3}{2}

Now, multiply numerator with numerator and denominator with denominator

\frac{39}{10}

Now, we will convert into mixed fraction

3\frac{9}{10}

So, Solving the expression: 2\frac{3}{5}\div \frac{2}{3} we get \mathbf{3\frac{9}{10}}

Option A is correct.

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Step-by-step explanation:

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2 years ago
When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
kondaur [170]

Answer:

a)

The combined resistance of a circuit consisting of two resistors in parallel is given by:

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where

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r_1, r_2 are the two resistors

We can re-write the expression as follows:

\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}

Or

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In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

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We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

b)

To solve this part, we use again the expression for R written in part a:

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r_1>0

So the interval of allowed values for r1 is

0

From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval

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6 0
3 years ago
Leila's fish tank has 17 liters of water in it.she plans to add 4 liters per minute until the tank has atleast 45 liters .What a
jeyben [28]

Answer:

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Step-by-step explanation:

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2 years ago
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