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2 years ago

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An office has boxes containing 8 packs of paper. A pack contains 500 sheets of 8.5 inches by 11 inches paper. Which shape best d

escribes a pack of paper?

1 answer:

Lena [83]2 years ago

3 0

Answer:

Square or Cube

Step-by-step explanation:

Since the paper is in packs and since it also contains 500 sheets of 8.5 by 11 inches it would be describing the area of a cube.

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For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

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2 years ago

A yellow jacket can fly 4.5 meters in 9 seconds.find the unit rate in meters per second

snow_lady [41]

The answer is .5 because to set it up you write 4.5/9 and then n/1 so 4.5 times 1 = 4.5 then you multiply 9 times n so it would be 9n, so then you didvide 9 by both sides so n=.5 so the unit rate is 1: .5

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Robin and evelyn are playing a target game. the object of the game is to get an object as close to the center as possible. each

svetlana [45]

Here's some of the info

~<span>Evelyn has the greater mean.

~</span>Evelyn’s objects generally landed farther away from the center than Robin’s.<span>
~</span>The object is to get the objects close to the center, so Robin is winning.<span>
</span>

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If ABC is congruent to DEC, angle B = 50 degrees and angle E = 5x x=

Anarel [89]

Because base angles are congruent, both angle A and B are congruent. If the two triangles are congruent, then the base angles are the same, meaning 5x=50*. Divide by 10 and you get the answer of x=5. :) Hope this helps!

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2 years ago

Andre types 208 words in 4 minutes. Noah types 342 words in 6 minutes. Who types faster?

Hunter-Best [27]

Answer:

Noah

Step-by-step explanation:

For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute. Noah types faster because he can type more words per minute.

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2 years ago