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shtirl [24]
3 years ago
9

Convert the rational expression to radical form m^2/3

Mathematics
1 answer:
Igoryamba3 years ago
6 0

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ m^{\frac{2}{3}}\implies \sqrt[3]{m^2}

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Please help me for the brainliest answer
Oxana [17]

Answer:

aₙ= -2n²

Step-by-step explanation:

<h2><u>Solution 1:</u></h2>

The sequence:

  • -2, -8, -18, -32, -50

The difference between the terms:

  • -6, -10, -14, -18
  • a₁= -2
  • a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
  • a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
  • a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
  • ...
  • aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²

As per above, the nth term is: aₙ= -2n²

<h2><u /></h2><h2><u>Solution 2</u></h2>

The sequence:

  • -2, -8, -18, -32, -50
  • -2*1, -2*4, - 2*9, -2*25
  • -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
  • aₙ= -2n²
6 0
3 years ago
PLEASE HELP!!! ILL MARK BRAINLIEST
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8 0
3 years ago
Read 2 more answers
A company spent 32% of its annual budget developing a new machine. What fraction of the company's budget was spent developing th
Talja [164]

Answer:

A percentage by definition means out of a hundred.

Anything out of a percent is anything out of a hundred.

In this case it’s 32 percent.

It’s just 32/100

When simplified you’d get 8/25

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2 years ago
Can someone please help me figure this out
Brilliant_brown [7]

Answer:

32/40

Step-by-step explanation:

1: Sin= Soh

Soh= Opposite over Hypotenuse

2. A's opposite is 32

3. A's Hypotenuse is 40

4. A = 32/40

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3 years ago
A dozen muffins is 12 muffins. A recipe calls for 3/4 cup of almonds to make half a dozen muffins. Use a complex fraction to fin
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1) Firstly, let's set a proportion to find out how mny cups of almonds are needed.

muffins cups of almonds

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2)

Cross multiplying it:

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6x = 9

x= 9/6

3

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1 year ago
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