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3 years ago

Multiply. (Use photo). Enter your answer in simplest radical form.

Mathematics

1 answer:

IrinaK [193]3 years ago

7 0

Answer:

72√2

Step-by-step explanation:

3√2 × 2√8 × √3 × √6

The above can be simplified as follow:

3√2 × 2√8 × √3 × √6

Recall

a√c × b√d = (a×b)√(c×d)

3√2 × 2√8 × √3 × √6 = (3×2)√(2×8×3×6)

= 6√288

Recall

288 = 144 × 2

6√288 = 6√(144 × 2)

Recall

√(a×b) = √a × √b

6√(144 × 2) = 6 × √144 × √2

= 6 × 12 × √2

= 72√2

Therefore,

3√2 × 2√8 × √3 × √6 = 72√2

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25 points:)<br><br> question 2-3

Furkat [3]

Answer:

2) r=73

Step-by-step explanation:

all 4 sided shapes add up to 360.

so 90+90=180

180+107=287

360-287=73

so r=73

4 0

3 years ago

Solve 4^x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.

valentinak56 [21]

The value of x is 1.66

Step-by-step explanation:

Let use revise the rules of exponential and logarithmic equations

1. If y = $b^{x}$ , then $log_{b}(y)=x$

2. $log_{b}(y) = \frac{log(y)}{log(b)}$

Use the rules above to solve the problem

∵ $4^{x}+2=12$

- Subtract 2 from both sides

∴ $4^{x}=10$

change the exponential equation to logarithmic equation

∴ $log_{4}(10)=x$

∵ $log_{4}(10) = \frac{log(10)}{log(4)}$

∴ x = $\frac{log(10)}{log(4)}$

∴ x = 1.66

The value of x is 1.66

Learn more:

You can learn more about logarithmic function in brainly.com/question/10633485

#LearnwithBrainly

6 0

3 years ago

Solve for x. Enter your answer in interval<br> notation using grouping symbols.<br> x2 + x < 20

Rus_ich [418]

Answer:

x<18

Step-by-step explanation:

2+x<20

6 0

3 years ago

Read 2 more answers

The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.1

Ivan

Answer:

0.6 probability that $-2 \leq x \leq 2$

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x is between -2 and 2.

Between -2 and 2, inclusive, we have -2, 0 and 2. So

$P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2)$

From the table:

$P(X = -2) = 0.33, P(X = 0) = 0.16, P(X = 2) = 0.11$ . So

$P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.60$

0.6 probability that $-2 \leq x \leq 2$

4 0

3 years ago

Identify a pair of vertical angles in the figure

Virty [35]

There are a lot of vertical angles in this figure, I will try my best to list most of them; ace,bcg bca, ecg gfd,afe gfe, dfa

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3 years ago