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vova2212 [387]
3 years ago
14

Simplify x^−7. Write your answer using only positive exponents.

Mathematics
1 answer:
Rashid [163]3 years ago
4 0

x-7 Is how you simplify

Positive form is 1/x/7

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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

  • 8a₈ = 12a₁₂
  • d = -2,
  • a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

  • a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
  • a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

  • 8(a₁ - 14) = 12(a₁ - 22)
  • 2(a₁ - 14) = 3(a₁ - 22)
  • 2a₁ - 28 = 3a₁ - 66
  • 3a₁ - 2a₁ = -28 + 66
  • a₁ = 38
6 0
3 years ago
Two bags contain coloured cubes.
spayn [35]

Answer:

equal

Step-by-step explanation:

Bag 1 has 3 red cubes and 1 blue cube.  = 4 cubes

Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes

P ( red bag 1) = red /total = 3/4

P (yellow  bag 2) = yellow /total = 1/5

P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20

P ( blue bag 1) =blue /total =1/4

P (green  bag 2) = green /total = 3/5

P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20

The probabilities are equal

8 0
3 years ago
Add. Simplify (or reduce) your answer, if necessary 1/4 +2/7+1/2=
Bumek [7]

Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =

Add the fractions:

\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}

Therefore, the fractions sum up to 29/28.

3 0
3 years ago
Read 2 more answers
Which is greater than 4?<br><br>(a) 5,<br>(b) -5,<br>(c) -1/2,<br>(d) -25.
Archy [21]
Answer: a). 5

Explanation:
5 > 4
5 0
3 years ago
Can SOmeone please help me i need to get a good grade on this please!!!!!!
Rudik [331]

Answer:

20 Units

Step-by-step explanation:

Hight times length/by half is tribular prism Formula

3 0
3 years ago
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