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Olin [163]
2 years ago
8

Simplify the expression :)

Mathematics
2 answers:
Juli2301 [7.4K]2 years ago
7 0

Answer:

  • x * (4xt + 11y).

Step-by-step explanation:

<u>Step 1:</u>

  • <u />((7xy-((x^2)*t))+4xy)+(5x^2*t)

<u>Step 2:</u>

  • Pull out like factors:
  • 4x^2t + 11xy = x * (4xt + 11y)

<u>Final result:</u>

  • <u />x * (4xt + 11y)
o-na [289]2 years ago
6 0

Answer:

  • 11xy + 4x²t

Step-by-step explanation:

<u>We know that:</u>

  • Given expression: 7xy - x²t + 4xy + 5x²t

<u>Solution:</u>

  • 7xy - x²t + 4xy + 5x²t
  • => 11xy - x²t + 5x²t
  • => 11xy + 4x²t

Hence, the simplified expression is 11xy + 4x²t.

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3 years ago
P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7 <br><br> What does n=
Juli2301 [7.4K]

Answer:

n = 3

Step-by-step explanation:

Given:

The equation given is:

p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7

We simplify the given equation using the following law of indices:

a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}

Therefore,

p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5

Since the base on both the sides is same, therefore, their exponents must also be same. This gives,

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Therefore, the value of 'n' is 3.

5 0
3 years ago
The percent increase in Americans in prison for drug related offenses from 1980 to 2015 was 1048%. In 1980 the number of America
Natasha2012 [34]

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Step-by-step explanation:

Since we have given that

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So, Number of Americans who were in prison for drug related offenses in 2015 is given by

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Hence, there were 469,532 American prison for drug related offenses in 2015.

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Alex777 [14]

Answer:

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QT has length 42-24 = 18.

ST has length 42-29 = 13.

The length ST is 13/18 ≈ 72.2% of the length of QT.

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myrzilka [38]

Answer:

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Step-by-step explanation:

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