<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B1000a%20%7B%7D%5E%7B6%7D%20%7D%20" id="TexFormula1" title=" \sqrt[3]{1000a

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Olenka [21]

3 years ago

{}^{6} } " alt=" \sqrt[3]{1000a {}^{6} } " align="absmiddle" class="latex-formula">
Simplify

Mathematics

1 answer:

matrenka [14]3 years ago

4 0

Answer:

$10a^2$

Step-by-step explanation:

$\sqrt[3]{1000a^6}\\$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt[3]{1000}\sqrt[3]{a^6}\\10\sqrt[3]{a^6}\\10\sqrt[3]{\left(a^2\right)^3}\\10a^2$

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Evaluate each of the following. (a) P(11,5) (b) C(11,5) (a) P(11,5) = (Simplify your answer.) (b) C(11,5) = (Simplify your answe

Hunter-Best [27]

<h2>Answer:</h2>

(a) P(11,5)= 55440

(b) C(11,5)=462

<h2>Step-by-step explanation:</h2>

We know that the permutation is the number of ways of arranging r items out of a total of n items and is given by:

$P(n,r)=\dfrac{n!}{(n-r)!}$

and the combination is the number of ways of choosing r items out of a total of n items and is given by:

$C(n,r)=\dfrac{n!}{r!\times (n-r)!}$

(a)

P(11,5)

$P(11,5)=\dfrac{11!}{(11-5)!}\\\\P(11,5)=\dfrac{11!}{6!}\\\\P(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{6!}\\\\P(11,5)=11\times 10\times 9\times 8\times 7\\\\P(11,5)=55440$

(b)

C(11,5)

$C(11,5)=\dfrac{11!}{5!\times (11-5)!}\\\\C(11,5)=\dfrac{11!}{5!\times 6!}\\\\C(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}\\\\C(11,5)=462$

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3 years ago

bob rides his motor cycle with a constant speed of 76 mph how long will it take for him to go 266 miles? Trashmaster or ethanhun

NikAS [45]

Here, Time = Distance / speed

Substitute your known values,

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In short, Your Answer would be: 3.5 Hours

Hope this helps!

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3 years ago

TEKS 7.61 Nataly has 6 pink bows, 1 blue bow, and 3 purple bows in a box. She will randomly choose 1 bow from the box. What is t

dusya [7]

Given:

Number of pink bows = 6

Number of blue bows = 1

Number of purple bows = 3

Nataly will randomly choose 1 bow from the box.

To find:

The probability that the Nataly will choose a pink bow.

Solution:

The total number of bows is:

$6+1+3=10$

The total number of bows is the total outcomes.

Total outcomes = 10

The number of pink bows is the favorable outcomes.

Favorable outcomes = 6

We know that, the probability that the Nataly will choose a pink bow is

$\text{Probability}=\dfrac{\text{Number of pink bows}}{\text{Total number of bows}}$

$\text{Probability}=\dfrac{6}{10}$

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Therefore, the probability that Nataly will choose a pink bow is 0.6.

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3 years ago

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3 years ago

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Alexxandr [17]

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(b) 7/2(2 x 9 + (7 - 1)d) = 0
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3 years ago