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scoundrel [369]

3 years ago

10

Which of the following can you determine, when you use deduction and start from a given set of rules and conditions?

2 answers:

Anni [7]3 years ago

8 0

Answer:

Well its actually D, What must be true.

Step-by-step explanation:

Because I've taken the test and that's the answer.

adell [148]3 years ago

3 0

Deductive reasoning involves starting from a set of rules and conditions to establish what must be true. It involves elimination method of any scenarios given.

From the definition of deductive reasoning, A. is the correct answer to the current question.

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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:

brainly.com/question/2193820

8 0

3 years ago

What is the measure of angle X.<br> Enter your answer in the box.

Volgvan

Answer:

x=61

Step-by-step explanation:

The three angles of a triangle add to 180 degrees

37+82+x = 180

Combine like terms

119 +x = 180

Subtract 119 from each side

119-119 +x= 180-119

x = 61

3 0

3 years ago

Read 2 more answers

What is the slope of the line passing through the points (1, 3) and (3, 9)?

Dvinal [7]

Answer:

slope is 3

Step-by-step explanation:

Mark brainliest plz

Its correct

3 0

3 years ago

Read 2 more answers

Find the given higher-order derivative.<br><br> f''(x) = 9- 3/x<br><br> f'''(x)=

Genrish500 [490]

Answer:

$f'''(x)=\frac{3}{x^{2}}$

Step-by-step explanation:

We are given with Second-order derivative of function f(x).

$f''(x)=9-\frac{3}{x}$

We need to find Third-order derivative of the function f(x).

$f''(x)=9-\frac{3}{x}=9-3x^{-1}$

We know that,

f'''(x) = (f''(x))'

So,

$f'''(x)=\frac{\mathrm{d}\,f''(x)}{\mathrm{d} x}$

$f'''(x)=\frac{\mathrm{d}\,(9-3x^{-1})}{\mathrm{d} x}$

$f'''(x)=\frac{\mathrm{d}\,9}{\mathrm{d} x}-\frac{\mathrm{d}\,3x^{-1}}{\mathrm{d} x}$

$f'''(x)=0-3\frac{\mathrm{d}\,x^{-1}}{\mathrm{d} x}$

$f'''(x)=-3(-1)x^{-1-1}$

$f'''(x)=3x^{-2}$

$f'''(x)=\frac{3}{x^{2}}$

Therefore, $f'''(x)=\frac{3}{x^{2}}$

4 0

4 years ago

-3(1+6r)+12=14. solve for r

emmasim [6.3K]

Answer: r = -5/18

Step-by-step explanation: You solve -3(1+6r)+12=14

-3-18r+12=14 (When distributed)

-18r+9=14

-18r=5

r=-5/18

6 0

3 years ago

Read 2 more answers