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3 years ago

What is 4 divided by 1,483 in long division pls pls pls plsssssss help me!!!:(☹️

Mathematics

1 answer:

zheka24 [161]3 years ago

5 0

Answer:

370.75 by just dividing it

Brainliest please?

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Binomial Expansion/Pascal's triangle. Please help with all of number 5.

Mandarinka [93]

$\begin{matrix}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\end{bmatrix}$

The rows add up to $1,2,4,8,16$ , respectively. (Notice they're all powers of 2)

The sum of the numbers in row $n$ is $2^{n-1}$ .

The last problem can be solved with the binomial theorem, but I'll assume you don't take that for granted. You can prove this claim by induction. When $n=1$ ,

$(1+x)^1=1+x=\dbinom10+\dbinom11x$

so the base case holds. Assume the claim holds for $n=k$ , so that

$(1+x)^k=\dbinom k0+\dbinom k1x+\cdots+\dbinom k{k-1}x^{k-1}+\dbinom kkx^k$

Use this to show that it holds for $n=k+1$ .

$(1+x)^{k+1}=(1+x)(1+x)^k$
$(1+x)^{k+1}=(1+x)\left(\dbinom k0+\dbinom k1x+\cdots+\dbinom k{k-1}x^{k-1}+\dbinom kkx^k\right)$
$(1+x)^{k+1}=1+\left(\dbinom k0+\dbinom k1\right)x+\left(\dbinom k1+\dbinom k2\right)x^2+\cdots+\left(\dbinom k{k-2}+\dbinom k{k-1}\right)x^{k-1}+\left(\dbinom k{k-1}+\dbinom kk\right)x^k+x^{k+1}$

Notice that

$\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{k!}{\ell!(k-\ell)!}+\dfrac{k!}{(\ell+1)!(k-\ell-1)!}$
$\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{k!(\ell+1)}{(\ell+1)!(k-\ell)!}+\dfrac{k!(k-\ell)}{(\ell+1)!(k-\ell)!}$
$\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{k!(\ell+1)+k!(k-\ell)}{(\ell+1)!(k-\ell)!}$
$\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{k!(k+1)}{(\ell+1)!(k-\ell)!}$
$\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{(k+1)!}{(\ell+1)!((k+1)-(\ell+1))!}$
$\dbinom k\ell+\dbinom k{\ell+1}=\dbinom{k+1}{\ell+1}$

So you can write the expansion for $n=k+1$ as

$(1+x)^{k+1}=1+\dbinom{k+1}1x+\dbinom{k+1}2x^2+\cdots+\dbinom{k+1}{k-1}x^{k-1}+\dbinom{k+1}kx^k+x^{k+1}$

and since $\dbinom{k+1}0=\dbinom{k+1}{k+1}=1$ , you have

$(1+x)^{k+1}=\dbinom{k+1}0+\dbinom{k+1}1x+\cdots+\dbinom{k+1}kx^k+\dbinom{k+1}{k+1}x^{k+1}$

and so the claim holds for $n=k+1$ , thus proving the claim overall that

$(1+x)^n=\dbinom n0+\dbinom n1x+\cdots+\dbinom n{n-1}x^{n-1}+\dbinom nnx^n$

Setting $x=1$ gives

$(1+1)^n=\dbinom n0+\dbinom n1+\cdots+\dbinom n{n-1}+\dbinom nn=2^n$

which agrees with the result obtained for part (c).

4 0

3 years ago

According to 2017 Belgium Labor data information: Adult Population in 2017= 4500, Number of employed in 2017= 2800, and Number o

maks197457 [2]

The labor-force participation rate of Belgium in 2017 was 77.78%

Given:

Adult population = 4500

Number of employed in 2017 = <em>2800</em>

Number of Unemployed in 2017 = 700

Labor force participation rate = (employed + unemployed) / total population × 100

= (2800 + 700) / 4,500 × 100

= 3,500 / 4500 × 100

= 0.777777777777777 × 100

= 77.77777777777777%

Approximately, 77.78%

Given:

Adult Population in 2016 = 3500

Number of employed in 2016 = 1800

Number of Unemployed in 2016= 600

Unemployment rate = unemployed population/ total labor force × 100

= 600 / 3,500 × 100

= 0.171428571428571 × 100

= 17.14285714285714%

Approximately,

17.14 %

Therefore, the unemployment rate of Japan in 2016 was 17.14%

Learn more about unemployment rate:

brainly.com/question/13280244

5 0

2 years ago

What is the value of X?

forsale [732]

Answer:

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"

Step-by-step explanation:

hope this helps sorry if it didn’t

7 0

2 years ago

Jim is two years older than his sister Mary. The sum of their ages is greater than 32. Describe Mary’s age. Create and inequalit

-Dominant- [34]

Let the two ages be j and m, respectively. Then j+m>32.

Solving for Mary's age, we get m > 32 - j. Because j = m + 2, m > 32 - (m+2).

Continue solving for m: Adding m to both sides of this inequality results in

2m > 32 - 2. Then 2m > 30, and m > 15. Mary's age is greater than 15.

4 0

3 years ago

A washer and a dryer cost $945 combined. The washer costs $95 more than the dryer. What is the cost of the dryer?

erastovalidia [21]

The dryer is 425 dollars

8 0

2 years ago

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What is 4 divided by 1,483 in long division pls pls pls plsssssss help me!!!:(￼☹️

What is 4 divided by 1,483 in long division pls pls pls plsssssss help me!!!:(☹️