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2 years ago

Simplify this radical

Mathematics

1 answer:

Lady_Fox [76]2 years ago

6 0

The given radical root 84, the simplification is option B; $2\sqrt{21}$ .

<h3>What is a simplification of an expression?</h3>

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

The given radical;

$\sqrt{84} \\\\\sqrt{42 \times 2} \\\\\sqrt{7\times3\times 2 \times 2} \\\\2\sqrt{21} \\$

Thus, the correct option is B; $2\sqrt{21}$ .

Learn more about Simplification ;

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It took my question down twice here's a real math question I guess

aliina [53]

Answer:

$n-3$

Interval notation: $(-\infty, -10)\cup(-3,\infty)$

Step-by-step explanation:

<u>First inequality:</u>

<u /> $n+8$

Therefore, this inequality restricts:

$n \in \mathrm{R};\: n$

<u>Second inequality:</u>

$< 8+n-3$

Therefore, this inequality restricts:

$n \in \mathrm{R};\: n>-3$

Therefore, with both of these restrictions together, we have:

$\fbox{$n \in \mathrm{R}; n-3$}\\\mathrm{or\:}\fbox{$n-3$}\\\mathrm{or\:}\fbox{$(-\infty, -10)\cup(-3,\infty)$}$ .

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3 years ago

Find the image of (3,8) after<br> a reflection over the origin.

Oksana_A [137]

Answer:

(-3, -8) I think

Step-by-step explanation

over the origin mean it would be going diagonally across (0,0). Not directly down (over the x-axis/ across the y-axis), nor to the side (over y-axis/ across the x-axis

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3 years ago

Write the expression as a single term.<br> 3ln(x+2) - ln(x - 1)

Dafna1 [17]

Answer:

ln [(x + 2)^3 ]/(x-1)

Step-by-step explanation:

3ln(x+2) - ln(x - 1) = ln (x + 2)^3 - ln (x-1)

ln (x + 2)^3 - ln (x-1) = ln [(x + 2)^3 ]/(x-1)

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3 years ago

A problem on a multiple-choice quiz is answered correctly with probability 0.9 if a student is prepared. An unprepared student g

lions [1.4K]

Answer:

0.08475

Step-by-step explanation:

The question above is a application of conditional probability.

The formula to use is Baye's Theorem for conditional probability.

From the above question we have the following information:

Probability of answering correctly when prepared = 0.9

Probability of not answering correctly when prepared = 1 - 0.9 = 0.1

Probability of choosing the right answer = 1/4 = 0.25

Probability of choosing the wrong answer = 1 - 0.25 = 0.75

Number of students that prepare for the quiz = 75% = 0.75

Therefore number of students that did not prepare for the quiz = 1 - 0.75

= 0.25

Hence,

The probability of not preparing but choosing the correct answer =

P[ not prepared | correct answer ]

Is calculated as :

P[ not prepared | correct answer ] =

(0.25 × 0.25)/(0.25 × 0.25) + (0.25 × 0.9)

= 0.08475

Therefore, the chance that Mr X did not prepare for the quiz but he gives the right answer = 0.08475

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3 years ago

A triangular prism has a base that is 6 cm by 4 cm and a height of 8 cm. If all dimensions are tripled, what happens to the volu

lana [24]

Im assuming the base of the triangle is 4cm. The volume is $96cm^{3}$ .
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If you are increasing each side by a factor of x, you are multiplying the original by $x^{3}$

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3 years ago

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