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ohaa [14]
3 years ago
10

Use the properties of exponents to rewrite the expression (-3yz)(-3yz)(-3yz)(-3yz)

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

\bf (-3yz)(-3yz)(-3yz)(-3yz)\implies (-3yz)^1(-3yz)^1(-3yz)^1(-3yz)^1 \\\\\\ (-3yz)^{1+1+1+1}\implies (-3yz)^4\implies (-3)^4 y^4 z^4\implies 81y^4 z^4

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Answer:

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3 years ago
In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control
lianna [129]

Answer:

The sample space for selecting the group to test contains <u>2,300</u> elementary events.

Step-by-step explanation:

There are a total of <em>N</em> = 25 aluminum castings.

Of these 25 aluminum castings, <em>n</em>₁ = 4 castings are defective (D) and <em>n</em>₂ = 21 are good (G).

It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!(n-k)!}

Compute the number of samples that are possible as follows:

{25\choose 3}=\frac{25!}{3!\times (25-3)!}

      =\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300

The sample space for selecting the group to test contains <u>2,300</u> elementary events.

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3 years ago
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Simplify 22-5(2x+4)<br> a. -10x+26<br> b. -10x+2<br> c. 34x+4<br> d. 34x+68
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Hi.

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3 years ago
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Answer:

It's impossible because the figure is greater than 10

Step-by-step explanation:

{ \boxed{ \bf{antilog \: of \: x =  \frac{x}{ log} =  {10}^{x}  }}}

Therefore:

{ \sf{anti(547.840) =  {10}^{547.840} }} \\ { \tt{ \red{math \: error \: !}}}

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3 years ago
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