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tatuchka [14]
3 years ago
6

Which is equivalent to 243 2/5 ? 3 6 9 12

Mathematics
2 answers:
Vlada [557]3 years ago
5 0

Answer:

The answer is 9

Step-by-step explanation:

we have

(243)^{\frac{2}{5}}

we know that

a^{\frac{n}{m}}=\sqrt[m]{a^{n}}

so

(243)^{\frac{2}{5}}=\sqrt[5]{243^{2}}

Remember that

243=3^{5}

Substitute

\sqrt[5]{243^{2}}=\sqrt[5]{(3^{5})^{2}}\\ \\= \sqrt[5]{(3^{10})}\\ \\=3^{\frac{10}{5}}\\ \\= 3^{2} \\ \\=9

NeTakaya3 years ago
3 0
9 Good luckkkkkkkkkkkkkkkkkkkkkkkkkkkkk

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Find (x−2)(4x+2) using the table of products. Write your answer in standard form.
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Answer:

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Nancy bought 3.5 gallons of gasoline. she paid 10.43. What was the price per gallon for the gasoline
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Answer:

Nancy paid 2.98 per gallon of gasoline.

Step-by-step explanation:

The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:

ratio = total money / total gasoline

ratio = 10.43 / 3.5

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How to make 2 3/4 a improper fraction
Paha777 [63]

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11/4

Step-by-step explanation:

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Find Four Numbers that form a geometric progression such that the second term is less than the first by 35, and the third term i
Olegator [25]

Answer:

  • -35/3, -140/3, - 560/3, -2240/3
  • 7, -28, 112, - 448  

Step-by-step explanation:

<u>The terms are:</u>

  • a₁, a₂, a₃, a₄

<u>Given:</u>

  • a₁ = a₂ + 35
  • a₃ = a₄ + 560

<u>Use the nth term formula:</u>

  • a₂ = a₁r
  • a₃ = a₁r²
  • a₄ = a₁r³

<u>Substitute:</u>

  • a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
  • a₁r² = a₁r³ + 560  ⇒ a₁(1 - r)r² = 560

<u>Divide the second equation by the first:</u>

  • r² = 560/35
  • r² = 16
  • r = √16
  • r = ± 4

<u>Use the first equation to find the first term:</u>

  • a₁( 1 ± 4) = 35
  • 1. a₁ = 35/-3 = -35/3
  • 2. a₁ = 35/5 = 7

<u>We have two sequences:</u>

r = 4

  • -35/3, -140/3, - 560/3, -2240/3

r = -4

  • 7, -28, 112, - 448  
8 0
3 years ago
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