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Mashutka [201]
2 years ago
14

Simplify (5x^-6)^3 leave your answer as a fraction in index form

Mathematics
2 answers:
Elan Coil [88]2 years ago
5 0

Answer: 125/x^18

Step-by-step explanation: this should be the answer

creativ13 [48]2 years ago
5 0

Answer:

(5 {x}^{ - 6} )^{3}  \\  \\ (125 {x}^{ - 18}) \\  \\  =  \frac{125}{ {x}^{18} }

I hope I helped you^_^

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Yinting wants to start adding weight lifting to her exercise routine. Her trainer suggests that she starts with 40 repetitions f
lapo4ka [179]

Answer:

7 Weeks

Step-by-step explanation:

If she starts off with 40 reps for the first week, and she adds 6 reps a week,  until she gets to 82 reps a week, then it would be<em> 40 + 6 x answer = 82</em>. Now, there are a couple ways you can do this, but the easiest but not shortest way is to do it one by one.

so, <em>40+6x1= 46</em>

<em>40+6x2= 52</em>

<em>40+6x3= 58</em>, and so on and so forth, until you get to <em>40+6x7</em><u>,</u> which equals 82, therefore giving you the answer of 7, but the way quicker way is to take the total (82) and subtract the number of reps she starts out with (40), then divide that number by the amount that it increases each week (6), so:

(82-40)÷6, which will also give you the answer of 7, or 7 weeks.

5 0
3 years ago
A set of 9 numbers has a mean of 20. What additional number must be included in this set to create a new set with a mean that is
PIT_PIT [208]

<em>Greetings from Brasil...</em>

The average for a set of 9 elements will be

(A + B + C + D + E + F + G + H + I) ÷ 9 = 20

Let's make (A + B + C + D + E + F + G + H + I) like S

<em>(I chose S to remember a sum)</em>

Let us think.....

S ÷ 9 = 20

S = 20 × 9

S = 180

So,  (A + B + C + D + E + F + G + H + I) = 180

According to the statement, we will include a number (element J) in the sum to obtain a mean of (20 - 4), that is:

<h3>(A + B + C + D + E + F + G + H + I + J) ÷ 10 = (20 - 4)</h3>

as seen above, (A + B + C + D + E + F + G + H + I) = 180, then

(180 + J) ÷ 10 = 16

(180 + J) = 160

J = 160 - 180

<h2>J = - 20</h2><h2 />

So, including the number - 20 <em>(minus 20)</em> in the original mean we will obtain a new mean whose result will be 16

3 0
3 years ago
Determine the intercepts of the line y= -2x - 21
soldier1979 [14.2K]

Answer:

what's there to intercept its 1 line

5 0
3 years ago
Es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has
Troyanec [42]

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer

Step-by-step explanation:

In a regular n-side polygon:

  • All sides are equal in lengths
  • All angles are equal in measure
  • The measure of each interior angle = \frac{(n-2)*180}{n}
  • The measure of each exterior angle = \frac{360}{n}
  • The sum of interior angle and exterior angle at a vertex is 180°

∵ The measure of an interior angle of a regular polygon is 120°

∵ The sum of interior angle and exterior angle at a vertex = 180°

∴ The measure of each exterior angle = 180 - 120

∴ The measure of each exterior angle = 60°

∵ The measure of each exterior angle = \frac{360}{n}

- Substitute the measure of the exterior angle by 60

∴ 60=\frac{360}{n}

- By using cross multiplication

∴ 60 n = 360

- Divide both sides by 60

∴ n = 6

∴ The polygon has 6 sides

The measure of each exterior angle is 60° and the polygon has 6 sides

Learn more:

You can learn more about polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0
3 years ago
Brandon has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 12.5 points for each
MariettaO [177]

Answer:

5 visits

Step-by-step explanation:

70 + 12.5 = 82.5 points

145 - 82.5 = 62.5

62.5 ÷ 12.5 = 5

5 visits.

3 0
3 years ago
Read 2 more answers
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