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3 years ago

How to put 40,023,032 in expanded form

Mathematics

1 answer:

Valentin [98]3 years ago

5 0

40,023,032 = 40,000,000 + 20,000 + 3,000 + 30 + 2

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4 = 3а - 14 How do I solve this problem

Simora [160]

Answer:

X = 6

Step-by-step explanation:

Add 14 to both sides: 18 = 3a

Divide both sides by 3: a = 6

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3 years ago

Read 2 more answers

Write this statement in your own words: ∃x ∈ ℕ, y ∈ ℤ|x² = y² Rewrite this using the appropriate mathematical notation: Even num

Serga [27]

Answer:

See below.

Step-by-step explanation:

So we have:

$\exists x\in\mathbb{N},y\in\mathbb{Z}|x^2=y^2$

This can be interpreted as:

"There exists a natural number x and an integer y such that x² is equal to y²."

So we want even numbers are in the set of integers.

$\{2n:n\in\mathbb{Z}\}\in\mathbb{Z}$

This is interpreted as:

"The set of even numbers (2n such that n is an integer) is in the set of integers"

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3 years ago

In the paper airplane shown , ABCD=EFGH, m

Nookie1986 [14]

Answer:

i would think it would be the same as angle bcd so 90

Step-by-step explanation:

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3 years ago

For each of 2 ≤ n ≤ 5, compute c(n, 0) + c(n, 2) + ⋅⋅⋅ + c(n, 2k), where 2k is largest even integer ≤ n, and compute c(n, 1) + c

Ksivusya [100]

Denote $C(n,m)=\dbinom nm$ . Then

$n=2\implies\displaystyle\binom20+\binom22=1+1=2$
$n=3\implies\displaystyle\binom30+\binom32=1+3=4$
$n=4\implies\displaystyle\binom40+\binom42+\binom44=1+6+1=8$
$n=5\implies\displaystyle\binom50+\binom52+\binom54=1+10+5=16$

In general, it would appear that

$\displaystyle\sum_{k=0}^{2\lfloor\frac n2\rfloor}\binom n{2k}=2^{n-1}$

On the other hand,

$n=2\implies\displaystyle\binom21=2$
$n=3\implies\displaystyle\binom31+\binom33=3+1=4$
$n=4\implies\displaystyle\binom41+\binom43=4+4=8$
$n=5\implies\displaystyle\binom51+\binom53+\binom55=5+10+1=16$

so that in general, we also get

$\displaystyle\sum_{k=0}^{2\lfloor\frac{n-1}2\rfloor+1}\binom n{2k+1}=2^{n-1}$

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3 years ago

Derive Sinxy = x² + 2xy

bogdanovich [222]

Answer:

$\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}$