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tigry1 [53]
3 years ago
10

Which term is correct when simplifying √128? A.) 16 B.) 12 C.) 10 D.) 8√2

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0
When dealing with roots, we want to factor to see if it's possible

128  = 2 \times 64
= 2 \times 2 \times 32
= 2 \times 2 \times 2 \times 16
= 2 \times 2 \times 2 \times 2 \times 8
= 2 \times 2 \times 2 \times 2 \times 2 \times 4
= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2

now since we're dealing with square roots, we circle every pair of numbers we see in the final factoring
so..
= (2 \times 2) \times (2 \times 2) \times (2 \times 2) \times 2

now for every circled pair, we take only 1 of the 2 circled and bring it outside
anything left uncircled stays inside the root
so..
= 2 \times 2 \times 2 \times \sqrt{2}

now simply multiply
8 \sqrt{2}
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The weather forecast says that the probability of being cloudy tomorrow is 30% and the probability of raining is 25%. If it is c
Bumek [7]
<h3>Answer:</h3>

\large\boxed{C).\,13.5\%}

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the probability of it being cloudy and raining.

In this case, we know that:

  • Probability of it being cloudy is 30%
  • Probability of it raining is 25% (this is necessarily not needed)
  • If it's cloud, the probability of it raining is 45%

With the information above, we can find the probability.

We know that from a 100% scale, the chance of it being cloudy is 30%.

We know that if it's cloudy, the chances of raining is 45%

To find the probability of it being cloudy and raining, we would multiply 0.3 (30%) by 0.45 (45%)

Solve:

0.3*0.45=0.135\\\\\text{Move the decimal place two times to the right}\\\text{to turn it into a percent}\\\\\boxed{13.5\%}

Your answer would be C). 13.5%

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
6 0
2 years ago
13. Describe the number of solutions for the equation. (1 point)
Anna11 [10]

Answer:

no solution

Step-by-step explanation:

Given

3(x - 3) = 3x , that is

3x - 9 = 3x ( add 9 to both sides )

3x = 3x + 9 ( subtract 3x from both sides )

0 = 9 ← not possible

This indicates the equation has no solution

4 0
3 years ago
Can someone plsss help me
balu736 [363]

Answer:

y = -5/3 x + 40

Step-by-step explanation:

The general form is y = ax + b, where a is the slope and b is the y intercept.

So immediately you can see that b must be 40, since the line crosses the y axis at 40.

The slope can be calculated by finding two "nice" points on the line that are also grid lines.

How about (0,40) and (6, 30).

Then, calculate the slope by dividing the y difference by the x difference:

(30-40)/(6-0) = -10/6 = -5/3

So C must be the answer.

6 0
2 years ago
In the figure, line L1 is parallel to line L2. If the measure of ∠4 = 144°, what is the measure of ∠6 and why? A. 144°, vertical
Brrunno [24]

Answer:the answer is B

Step-by-step explanation:

7 0
3 years ago
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How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?
AveGali [126]
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