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Kazeer [188]
3 years ago
13

absmiddle" class="latex-formula"> pls
Mathematics
1 answer:
morpeh [17]3 years ago
4 0

<h3>\frac{1}{1953125} ✅</h3>

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

( { {5}^{3} })^{ - 3}  \\   \\ which\:means \:that \: {5}^{3}\:  is \:multiplied \:thrice\: with\: itself\\ \\ =  {5}^{3 \times  - 3}  \\ \\   =  {5}^{ - 9}  \\  \\=  \frac{1}{ {5}^{9} }  \\  \\  =  \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5}  \\   \\ =  \frac{1}{1953125}

<u>Note</u>:-

( { {a}^{m} })^{n}  =  {a}^{m \times n}

{a}^{ - m}  =  \frac{1}{ {a}^{m} }

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}

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State the intervals for which the given quadratic is positive and when it is negative.
goblinko [34]

Answer:

  • Positive at (-9, 2)
  • Negative at ( -oo, -9) or (2, + oo)

Step-by-step explanation:

<u>Given function</u>

  • y= -2x^2 - 14x + 36

<u>Getting zero's</u>

  • -2x^2 - 14x + 36 = 0
  • x^2 + 7x - 18 = 0
  • x = ( -7 ± √(49 +72))/2 = ( -7 ± 11)/2
  • x = - 9 and x = 2

<u>As the x^2 has negative coefficient, the function is positive between -9 and 2</u>

  • - 9 < x < 2 or
  • (-9, 2)

<u>And it is negative at:</u>

  • x < -9 and
  • x > 2
  • or
  • ( -oo, -9) or (2, + oo)

3 0
4 years ago
HELP! Find volume of cylinder in terms of pi
AysviL [449]
Volume in terms of pi =V=πr2h
8 0
3 years ago
4p+6-3 combine like terms?
amm1812

Answer:

4p+3

Step-by-step explanation:

Because 4 has the variable p next to it, 4 can not be the same as 6 or 3 because they are whole numbers. So the only thing you can do here is 6-3, which is 3.

4 0
2 years ago
What is the factored form of the expression. <br> 4n^2 + 24n + 36
skad [1K]

Answer:

(2n+6)^2

Step-by-step explanation:

To solve this, you can use the given formula: x^2 + 2xy + y^2

In this case, 4n^2 is x^2, 24n is 2xy, and 36 is y^2. The next step is:

(2n)^2 + 2(2n)(6) + (6)^2

Since this equation fits into this formula ( x^2 + 2xy + y^2), we can do:

(2n+6)(2n+6) =

(2n+6)^2

Hence, the answer is (2n+6)^2

6 0
3 years ago
Each side of a square plastic tarp is 9 meters long. what is the tarps perimeter
emmainna [20.7K]

Answer:

36

Step-by-step explanation:

9 times 4

8 0
3 years ago
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