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3 years ago

6 2/3 divided by 1 1/2 =

Mathematics

1 answer:

dezoksy [38]3 years ago

4 0

Answer:

1 7/33

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

203÷112

Applying the fractions formula for division,

=20×23×11

=4033

Simplifying 40/33, the answer is

=1733

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Find the generating function for the sequence 1,1,1,2,3,4,5,6,....

marin [14]

Answer:

$P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1$ [/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

$1,1,1,2,3,4,5,6,...$

the generating function would be

$P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\$

we can multiply P(x) by x to get

$xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...$

Note that

$P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\ \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)$

which for $\mid x \mid < 1$ can be rewritten as

$(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}$

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2 years ago

Emily is entering a bicycle race for charity. Her mother pledges $0.70 for every 0.5 mile she bikes. If Emily bikes 10 miles, ho

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Answer:

Emily's mother will donate $20

Step-by-step explanation:

0.5x20=10

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3 years ago

Read 2 more answers

[x÷(y–1)](−4)–[xy+(−3)]÷(−1) if x=−5, y=−2

IrinaK [193]

The result is 1/3.

_____
The first attempt in the attached picture has parentheses in the wrong place for the second term. This simplifies to
.. (-5/-3)*(-4) +(10 -3)
.. = -20/3 +7
.. = -(6 2/3) +7
.. = 1/3

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Answer:

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Step-by-step explanation:

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