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3 years ago

What is the simplest form of (3x^1/2)(4x^2/3)

1 answer:

7 0

When multiplying, we add exponents.

So first get a common denominator of 6.

3/6 + 4/6 = 7/6

So the answer is 12x^(7/6)

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Write 2.95 as the quotient of two integers

astraxan [27]

2.95 = 295/100 then you can reduce the fraction to 59/20

7 0

2 years ago

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Find 6 rational numbers between -2/3 and 1/2?

a_sh-v [17]

Answer:

-3/6 -2/6 -1/6 0/6 1/6 2/6

4 0

2 years ago

Write a function rule that represents the sentence.<br> y is 4 less than the product of 7 and x.

goldenfox [79]

Answer:

ｙ = 7x - 4

just as it says in words

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2 years ago

The total resistance in a circuit with two parallel resistors is 2 ohms and R1 is 6 ohms. Using the equation for R2, in terms of

ivanzaharov [21]

<h2>Answer:</h2>

$R_2$ is 3 ohms

<h2>Step-by-step explanation:</h2>

In a circuit containing two resistors $R_1$ and $R_2$ connected together in parallel, the total resistance $R_T$ is given by;

$\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}$ ---------(i)

<em>Make </em> $R_2$ <em> subject of the formula;</em>

=> $\frac{1}{R_2} = \frac{1}{R_T} - \frac{1}{R_1}$

=> $\frac{1}{R_2} = \frac{R_1 - R_T}{R_TR_1}$

=> ${R_2} = \frac{R_TR_1}{R_1 - R_T}$ ---------------(ii)

From the question,

$R_1$ = 6Ω

$R_T$ = 2Ω

Substitute these values into equation (ii) as follows;

=> ${R_2} = \frac{2*6}{6 - 2}$

${R_2} = \frac{12}{4}$

$R_2$ = 3Ω

Therefore, the value of $R_2$ = 3 ohms or $R_2$ = 3Ω

3 0

2 years ago

Two sides of a triangle are 8cm and 12cm. Which of the following CANNOT be the measure of the third side,

blondinia [14]

Answer:

4 cannot be the measure of the third side. This is because of the Triangle Inequality Theorem, which states that the sum of two sides of a triangle must be greater than the third side (A+B>C, A+C>B, B+C>A) In this example, if side C were 4, side C (4) plus side A (8) would be 12. Since side B is 12, and 12 cannot be greater than 12, 4 would not work.

Answer=8

Step-by-step explanation:

7 0

3 years ago

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