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antiseptic1488 [7]
3 years ago
11

What is the following simplified product? Assume x>0 2 sqrt 8x^3(3 sqrt 10x^4-x sqrt 5x^2

Mathematics
2 answers:
Naddika [18.5K]3 years ago
5 0

Answer:B

Step-by-step explanation:

It’s on edge

Nastasia [14]3 years ago
3 0

Answer:   \bold{24x^3\sqrt{5x}-4x^3\sqrt{10x}}

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

2\sqrt{8x^3}\ (3\sqrt{10x^4}-x\sqrt{5x^2})\\\\2\sqrt{8x^3}\cdot 3\sqrt{10x^4}\ -\ 2\sqrt{8x^3}\cdot x\sqrt{5x^2}\quad \rightarrow \quad \text{applied distributive property}\\\\2\cdot 3\sqrt{8x^3\cdot10x^4}\ -\ 2\cdot x\sqrt{8x^3\cdot5x^2}\quad \rightarrow \quad \text{multiplied "outsides" and "insides"}

Evaluate each one separately:

6\sqrt{\underline{2\cdot2}\cdot\underline{2\cdot2}\cdot5\cdot \underline{xx}\cdot \underline{xx}\cdot \underline{xx}\cdot x} = 6\cdot 2\cdot2\cdot x\cdot x\cdot x\sqrt{5x}=\boxed{24x^3\sqrt{5x}}\\\\2x\sqrt{\underline{2\cdot2}\cdot2\cdot5\cdot \underline{xx}\cdot \underline{xx}\cdot x}=2x\cdot 2\cdot x\cdot x\sqrt{2\cdot5\cdot x}=\boxed{4x^3\sqrt{10x}}

The terms cannot be combined because they have different radicals (insides).

\boxed{24x^3\sqrt{5x}}-\boxed{4x^3\sqrt{10x}}

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An isotope decays at a rate of -0.0049% per year. Find the half life. (show the work)
cricket20 [7]

Answer:

  14,146 years

Step-by-step explanation:

The annual multiplier is (1 -0.0049%) = 0.999951. We want to find the number of times this needs to be multiplied to make the product 1/2.

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7 0
3 years ago
Order the following from least to greatest -- 0.209, 0.039, 0.21, 0.045
Zinaida [17]

Given numbers : 0.209, 0.039, 0.21, 0.045 .

In order to check the smallest number, we need to check tenth value of each number first.

0.209 has 2 in tenth place, 0.039 has 0 in tenth place, 0.21 has 2 in tenth place and 0.045 has 0 in tenth place.

In first step, we got two smaller numbers 0.039 and  0.045 because they both have 0 in tenth place and other two numbers 0.209 and 0.21 has 2's in tenth place.

Now, we will check hundredth place number in 0.039 and  0.045.

0.039 has 3 in it's hundredth place and 0.045 has 4 in it's hundredth place.

Therefore, 0.039 would be smallest number and 0.045 would be second smaller number.

Now, we woiuld check hundredth place number in 0.209 and in 0.21.

0.209 has 0 in it's hundredth place and 0.21 has 1 in it's hundredth place.

Therefore, 0.209 is smaller than 0.21 and third smaller number.

So, finally 0.21 would be greatest number.

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5 0
3 years ago
Thanks for ur smart brains i gave all my points to u have fun
aev [14]

Answer:

the answer is B.

Step-by-step explanation:

30/5 is 6

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4 0
2 years ago
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