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dlinn [17]
3 years ago
10

Which of the following is equal to sqrt 50a^6b^7

Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0
Your question implies there are choices given with possible answers. As I do not have those in front of me, I will show you how to simplify the radical. It is likely that the answer you seek is the simplified radical.

To simplify \sqrt{50 a^{6}  b^{7} } we use the following identity: for positive values of a and b, \sqrt{ab}= \sqrt{a}  \sqrt{b}

That identity allows us to re-write what we are given as \sqrt{50} \sqrt{ a^6 } \sqrt{b^{7}. Let us now consider each of these separately.

Though 50 is not a perfect square it can be written as 25 x 2 and 25 is a perfect square. Thus, we obtain \sqrt{50}= \sqrt{25} \sqrt{2}=5 \sqrt{2}

Next we consider a^{6} which is a perfect square as it is equal to (a^{3})  (a^{3}). Thus, \sqrt{a^{6}} = a^{3}

Lastly, we consider b^{7} which can be written as (b^{1})( b^{6}) and since b^{6} is a perfect square we obtain the following: \sqrt{b ^{7} } =\sqrt{b ^{1}} \sqrt{b^6} = b^{3}  \sqrt{b}

Putting that all together we obtain \sqrt{50 a^{6} b^{7} }=25a ^{3}b ^{3} \sqrt{2b}
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Mashutka [201]

Answer:

Atmospheric Pressure = 739.2 millibars

Step-by-step explanation:

To answer this question one should assume that Mangamaunu Beach is at sea level ( altitude = 0 m) and that the summit of Manakau is at 2608 meters.

The change in atmospheric pressure with altitude in the first 5 km can be roughly represented by a linear relationship with slope "m" as follows

(500-1000) = m(5000 - 0)\\m = -0.10

Giving the following equation:

(Pressure - 1000) = -0.10Height

Applying for Height = 2608 m

Pressure = -0.10(2608) + 1000\\Pressure = 739.2 millibars

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3 years ago
What is z 15 = -45+ z
damaskus [11]

Answer:

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Step-by-step explanation:

15 = - 45 + z

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An aquarium at a pet store has 18 Black Neon Tetra fish in it . A customer buys 12 Black neon Tetra Fish at the same time the st
dangina [55]

18-12+7

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Write an equation.

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8 0
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Step-by-step explanation:

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Jonathan buys two baseball bats for $43 each they are on sale for 45% off he also bought a glove that was originally priced at 2
vladimir2022 [97]

Hi There!

-----------------------------------------------------

Baseball Bats:

43 x 0.45 = $19.35 as the amount off.

43 - 19.35 = $23.65 with the discount.

23.65 x 2 = $47.3 for two bats.

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Glove:

28 x 0.25 = $7 as the amount off.

28 - 7 = $21 with the discount.

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Together:

21 + 47.3 = $68.3 as the total before taxes.

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With Taxes:

68.3 x 0.055 = $3.7565 as the tax amount.

68.3 - 3.7565 = $64.5435

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Answer:

Not Rounded: $64.5435

Rounded: $64.54

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Hope This Helps :)

3 0
3 years ago
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