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yuradex [85]
3 years ago
8

How do I solve 6 x 107 using a property

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0
Use distributivity to split the multiplication
6*107
=6(100+7)
=600+42
=642
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What is the answer to [(x²+4x)-2]²
Rudik [331]

Answer:

x^{4} + 8x³ + 12x² - 16x + 4

Step-by-step explanation:

Given

[(x² + 4x) - 2 ]² ← simplify contents of bracket

= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis

= x^{4} + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms

= x^{4} + 8x³ + 12x² - 16x + 4

6 0
3 years ago
A rectangular sheet of paper is 25/2cm long and 32/3 cm wide. Find its perimeter. *​
Zina [86]

Answer:

46.3cm

Step-by-step explanation:

  • perimeter is length around shape
  • 25/2 multiply by 2 becoz it's got two equal sides
  • 32/3 multiply by two for the other equal sides
  • add answers together to give you
  • 46.3cm
3 0
3 years ago
Read 2 more answers
What is the angle, in degrees, if the Area is 180 square miles and the radius is 42,240 feet?
Savatey [412]

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

5 0
2 years ago
You have a total of 52 respondents to a survey
Rama09 [41]

Answer:

17% , 15% , 6% , 10% , 40% , 6%

Step-by-step explanation:

You're going to have to divide the number of people who voted for those positions by the total number of people.

Adapting = 9 / 52 = 17%

Other = 8 / 52 = 15%

Yes = 3 / 52 = 6%

No = 5 / 52 = 10%

Absolutely = 21 / 52 = 40%

Maybe = 3 / 52 = 6%

6 0
3 years ago
What is the next term in the arithmetic sequence? 9,17,25,33,...
lions [1.4K]

<u>Answer:</u>

<u><em>41</em></u>

<u />

<u>Explanation:</u>

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

<em>9, 17, 25, 33,...</em>

<em />

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

<em>9 - first term</em>

<em>17 - second term</em>

<em />

<em>17 - 9 = 8</em>

<em />

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

<em>9, 17, 25, 33,...</em>

<em>9 </em><em>+ 8 = </em><em>17</em>

<em>17  </em><em>+ 8 = </em><em>25</em>

<em>25 </em><em>+ 8 = </em><em>33</em>

<em />

So, since 'adding eight' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next term.

<em>9, 17, 25, 33,...</em>

<em />

<em>33 </em><em>+ 8 = </em><em>41</em>

<em />

<em>9, 17, 25, 33, 41,...</em>

<em />

Therefore, the next term in the arithmetic sequence is <u><em>41</em></u>.

3 0
3 years ago
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