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kompoz [17]
3 years ago
8

Pls help me answer this question thx

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer:

\large\boxed{\dfrac{1}{115}}

Step-by-step explanation:

\text{Use}\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\(a\cdot b)^n=a^n\cdot b^n\\\\a^{-1}=\dfrac{1}{a}\\--------------------------\\\\\dfrac{5^{2n-1}-4(25^{n-1})}{(5^n\cdot2)^2+3(5^{2n-1})}=\dfrac{5^{2n}\cdot5^{-1}-4\left[(5^2)^n\cdot25^{-1}\right]}{(5^n)^2\cdot2^2+3\left[(5^2)^n\cdot5^{-1}\right]}

=\dfrac{5^{2n}\cdot\frac{1}{5}-4\left(5^{2n}\cdot\frac{1}{25}\right)}{5^{2n}\cdot4+3\left(5^{2n}\cdot\frac{1}{5}\right)}=\dfrac{5^{2n}\left(\frac{1}{5}-\frac{4}{25}\right)}{5^{2n}\left(4+\frac{3}{5}\right)}=\dfrac{\frac{5}{25}-\frac{4}{25}}{4\frac{3}{5}}=\dfrac{1}{25}:\left(\dfrac{4\cdot5+3}{5}\right)\\\\=\dfrac{1}{25}\cdot\dfrac{5}{23}=\dfrac{1}{5}\cdot\dfrac{1}{23}=\dfrac{1}{115}

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V=by(for b) volume of prism
Simora [160]
V = by
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Divide both sides by y to isolate b.

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3 years ago
Question 1- explain how Sheldon immediately knew howard was incorrect?
Dmitrij [34]

Answer:

Part 1) In the procedure

Part 2) In the procedure

Step-by-step explanation:

Part 1) Observing the graph

The roots are x=-1/2 and x=4

Remember that, the roots are the x-values when the value of y is equal to zero (the x-intercepts)

That's why Sheldon immediately realizes Howard's solution is incorrect

Part 2) we have

y=2x^{2}-7x-4

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

equate the equation to zero

2x^{2}-7x-4=0  

so

a=2\\b=-7\\c=-4

substitute

x=\frac{-(-7)(+/-)\sqrt{-7^{2}-4(2)(-4)}} {2(2)}

x=\frac{7(+/-)\sqrt{49+32}} {4}

Howard's error is in this step, is wrong with the sign of the number 7, is positive instead of negative

x=\frac{7(+/-)\sqrt{81}}{4}

x=\frac{7(+/-)9}{4}

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3 years ago
Use the commutative property of addition to simplify 12x - 36 - 6x.
nexus9112 [7]

12x - 36 - 6x \ is \ simplified \ to \ 6(x-6)

<h2>Explanation:</h2>

The commutative property of addition states that:

a+b=b+a

So applying this property to our expression we have:

12x - 36 - 6x=-6x+12x-36 \\ \\ \\ So \ here: \\ \\ a=12x-36 \\ \\ b=-6x \\ \\ \\ Combining \ like \ terms: \\ \\ 12x - 36 - 6x=6x-36 \\ \\ \\ Common \ factor \ 6: \\ \\  12x - 36 - 6x=6(x-6) \\ \\ \\ Finally: \\ \\ 12x - 36 - 6x \ is \ simplified \ to \ 6(x-6)

<h2>Learn more:</h2>

Evaluating expression: brainly.com/question/14423698#

#LearnWithBrainly

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2 years ago
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Answer:  Number 4: 0.07, 60%, 13/20, 2/3, 0.70, and then 3/2

Step-by-step explanation:

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