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4 years ago

Find six rational numbers between 3 and 4.

Mathematics

2 answers:

Lera25 [3.4K]4 years ago

4 0

Answer:

These can be =3.1 , 3.2 , 3.3 , 3.4 , 3.5 , 3.6

inna [77]4 years ago

3 0

3.1, 3.2, 3.3, 3.4, 3.5 and 3.6

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Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.

loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
$\dfrac{x^a}{x^b} = x^{(a-b)}$
$(a^a)^b =x^{(a\times b)}$
$(xy)^a = x^ay^a$

$x^{\frac{3}{4}} = \sqrt[4]{x^3}= (\sqrt[3]{x})^4$

The solution of the expression is $\dfrac{4x^4}{y^6}$ .

<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

Using identity $(xy)^a = x^ay^a$ ,

$=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}$

Using identity $(a^a)^b =x^{(a\times b)}$ ,

$=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})$

Solving further

$=2^2x^4y^{-6}$

Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

$=\dfrac{2^2x^4}{y^6}$

$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

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8 0

2 years ago

PLEASE HELP MEE FAST

BabaBlast [244]

Answer:

Step-by-step explanation:

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3 years ago

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What is the value of m in the figure below? If necessary,round your answer to the nearest tenth of a unit

bogdanovich [222]

Answer:

Step-by-step explanation:

It turns out from similar triangles, that 7/BD = BD / 18. Use triangles ABD and BDC to show this relationship. Solving this equation will give you BD

BD^2 = 7*18

BD^2 = 126 Just leave it in this form. Do your rounding at the end.

Because triangle BDC is a right angle triangle, use the Pythagorean Theorem to solve for m

m^2 = BD^2 + 7^2

m^2 = 126 + 49

m^2 = 175 Take the square root of both sides.

sqrt(m^2) = sqrt(175)

m = 13.22

so the answer is D

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3 years ago

( 1 1/3 + 5/6) divided by 1/6

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

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3 years ago

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Write the three ratios that are equal to the ratios given: there is 6 i need answers for all of them please so i will give you a

Klio2033 [76]

Answer:

1. 6:10

2. 1:2

3. 1:3

4. 4:5

5. 3:4

6. 5:6

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3 years ago

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