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Galina-37 [17]
3 years ago
11

Simplify 5sqrt 12xm^3 Assume x and m are nonnegative

Mathematics
1 answer:
fredd [130]3 years ago
5 0

Answer:

The right answer to your question is the third option

Step-by-step explanation:

            5 √12xm³

             First find the prime factors of 12

   12   2

     6   2

    3    3

     1             Then 12 = 2² 3

   and m³ = m m²

So    5 √ 2² 3 x m m²

and   5 (2)(m) √ 3xm

         10 m √ 3xm

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What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?
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Answer:

\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}

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The explicit formula for a geometric sequence:

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<h2>It's not a geometric sequence.</h2>

If a_3=-\dfrac{1}{16} then the common ratio is r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}

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\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6

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