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2 years ago

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Payton leaves to go on an 858585 minute bike ride at 3{:}27\text{ p.m.}3:27 p.m.3, colon, 27, start text, space, p, point, m, po

int, end text Payton's family eats dinner at 5{:}45\text{ p.m.}5:45 p.m.

1 answer:

miss Akunina [59]2 years ago

3 0

Answer: Nice

This text exists to bypass Brainly's 20 character limit.

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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

Naomi has 45 minutes to get ready for school. She spends x minutes getting dressed. Write an expression that represents the numb

Over [174]

Togarashi Vongole Bianco Monomi Or Monokuma

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2 years ago

What is 6 divided by 612

kondaur [170]

612/6=102
check: 6x102=612

Hope this helped! :))

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2 years ago

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Circle O is shown. Chords K M and J L intersect at point A. The measure of arc K J is 170 degrees. The measure of arc L M is 80

Verizon [17]

Answer:

The answer for edg is 55

Step-by-step explanation:

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2 years ago

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A decimal number changed to 23.7 after it was rounded. Give a decimal number that is less than 23.7 and another that is greater

mrs_skeptik [129]

Two <em>possible answers</em> are:

23.65 and 23.72.

Explanation:

For the first number, 23.65, we are rounding to the tenths place. 23.65 itself is smaller than 23.7. Looking behind the tenths place, the digit behind it is 5. This means we round the tenths place up; this becomes 23.7.

23.72 is larger than 23.7. We will round it to the tenths place as well. Looking behind the tenths place, we have a 2; this means we "round down." This means leave the 7 as it is and drop the other digits behind it. This gives us 23.7.

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2 years ago

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