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777dan777 [17]
4 years ago
5

What is the simplified form of the expression?

Mathematics
1 answer:
AleksAgata [21]4 years ago
6 0
 The answer is:  10 x¹³ y¹⁰  . 
__________________________________________________________

1x^8 *  2y^(10) * 5x^5 = 

1* 2* 5 * x^8 * x^5 * y^(10) = 

10 * x^(8+5) * y^(10) =

10 * x^(13) * y^(10) = 10 x^(13) y^10 ;  write as: 
_______________________________________________
          10 x¹³ y¹<span>⁰ .
<span>______________________________________________________</span></span>
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I guess I'm lacking in differential equations. I couldn't solve this question. Can you help me?
Sonja [21]

Answer:

See Explanation.

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties
  • Reciprocals

<u>Algebra II</u>

  • Log/Ln Property: ln(\frac{a}{b} ) = ln(a) - ln(b)

<u>Calculus</u>

Derivatives

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Derivative of Ln: \frac{d}{dx} [ln(u)] = \frac{u'}{u}

Step-by-step explanation:

<u>Step 1: Define</u>

ln(\frac{2x-1}{x-1} )=t

<u>Step 2: Differentiate</u>

  1. Rewrite:                                                                                                         t = ln(\frac{2x-1}{x-1})
  2. Rewrite [Ln Properties]:                                                                                 t = ln(2x-1) - ln(x - 1)
  3. Differentiate [Ln/Chain Rule/Basic Power Rule]:                                         \frac{dt}{dx} = \frac{1}{2x-1} \cdot 2 - \frac{1}{x-1} \cdot 1
  4. Simplify:                                                                                                          \frac{dt}{dx} = \frac{2}{2x-1} - \frac{1}{x-1}
  5. Rewrite:                                                                                                          \frac{dt}{dx} = \frac{2(x-1)}{(2x-1)(x-1)} - \frac{2x-1}{(2x-1)(x-1)}
  6. Combine:                                                                                                       \frac{dt}{dx} = \frac{-1}{(2x-1)(x-1)}
  7. Reciprocate:                                                                                                  \frac{dx}{dt} = -(2x-1)(x-1)
  8. Distribute:                                                                                                         \frac{dx}{dt} = (1-2x)(x-1)
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Answer:

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Answer: X = -4

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

8 0
1 year ago
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The bakers at healthy bakery can make 350 bagels in 10 hours. How many bagels can they make in 19 hours. What was the rate per h
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Answer:

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