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butalik [34]
2 years ago
8

25= 5(3X-4)^1/3 PLEASE HELP AND SHOW WORK! THANKS SM

Mathematics
2 answers:
Effectus [21]2 years ago
8 0

Answer:

x=43

Step-by-step explanation:

Given equation:

25=5(3x-4)^{\frac13}

Divide both sides by 5:

\implies 5=(3x-4)^{\frac13}

Cube both sides:

\implies 5^3=((3x-4)^{\frac13})^3

\implies 125=(3x-4)^{\frac33}

\implies 125=(3x-4)^1

\implies 125=3x-4

Add 4 to both sides:

\implies 129=3x

Divide both sides by 3:

\implies x=43

storchak [24]2 years ago
8 0

Answer:

<u>x = 43</u>

Step-by-step explanation:

  • 25 = 5∛(3x - 4)
  • On cubing the entire expression :
  • 15625 = 125(3x - 4)
  • 3x - 4 = 125
  • 3x = 129
  • <u>x = 43</u>
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Answer:

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Step-by-step explanation:

<u>Complete Question:</u>

A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?

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