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HACTEHA [7]
3 years ago
11

What is the following quotient? 6-3(3 √8)/3 √9

Mathematics
2 answers:
Vilka [71]3 years ago
8 0

Answer:

The correct option is A) 2\sqrt[3]{3}-{\sqrt[3]{18}

Step-by-step explanation:

Consider the provided expression.

\frac{\left(6-3\left(\sqrt[3]{6}\right)\right)}{\sqrt[3]{9}}

Rationalize by multiplying conjugate \frac{9^{\frac{2}{3}}}{9^{\frac{2}{3}}}

\frac{\left(6-3\sqrt[3]{6}\right)\cdot \:9^{\frac{2}{3}}}{\sqrt[3]{9}\cdot \:9^{\frac{2}{3}}}

\frac{9^{\frac{2}{3}}\cdot \:3\left(2-\sqrt[3]{6}\right)}{9}

\frac{9^{\frac{2}{3}}\left(2-\sqrt[3]{6}\right)}{3}

\frac{3^{\frac{4}{3}}\left(2-\sqrt[3]{6}\right)}{3}

3^{\frac{1}{3}}\left(2-\sqrt[3]{6}\right)

2\sqrt[3]{3}-3^{\frac{2}{3}}\sqrt[3]{2}

2\sqrt[3]{3}-{\sqrt[3]{18}

Hence, the correct option is A) 2\sqrt[3]{3}-{\sqrt[3]{18}

WARRIOR [948]3 years ago
5 0

Answer:

Factor the numerator and denominator and cancel the common factors.

Exact Form:

2

3

√

3

−

3

√

18

Decimal Form:

0.26375774

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nignag [31]

Answer:

b 2,3,8

Step-by-step explanation:

Y=234678

Z=278910

X=12358

234678910 n 12358

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8 0
2 years ago
HELP!! joels apartment building is 42 ft tall and casts a shadow of 20ft. If Joel is 6 ft tall, how long is his shadow
zhenek [66]

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows create 2 similar right-angled triangles.

that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.

so,

42 × f = 6

f = 6/42 = 1/7

the length of Joel's shadow is then

20 × f = 20 × 1/7 = 2.857142857... ft

5 0
3 years ago
If x^2 = 30, what is the value of x?
Lapatulllka [165]
x= +\sqrt{30} ~or ~ -\sqrt{30}
I'm not sure why ± that sybol isn't working
all together you can write x=±\sqrt{30}

Ughh just ignore the "A" symbol .-.



5 0
3 years ago
Game Stop is selling used games in bundles. They have one bundle of 8 games for $52, and one bundle of 10 games for $62.50. Whic
natka813 [3]

Answer:

1

Step-by-step explanation:

3 0
3 years ago
9.50 One way to evaluate the effectiveness of a teaching assistant is to examine the scores achieved by his or her students on a
EleoNora [17]

Answer:

Step-by-step explanation:

Given that a professor sets a standard examination at the end of each semester for all sections of a course. The variance of the scores on this test is typically very close to 300.

H_0: s^2 = 300\\H_a: s^2 \neq 300

(Two tailed test for variance )

Sample variance =480

We can use chi square test for testing of hypothesis

Test statistic = \frac{(n-1)s^2}{\sigma^2} \\=62.4

p value = 0.0100

Since p <0.05 our significance level, we reject H0.

The sample variance cannot be claimed as equal to 300.

5 0
3 years ago
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