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ad-work [718]
3 years ago
11

What is the coefficient of x^4y^4 in the expansion (x+y)^8?

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

  C.  70

Step-by-step explanation:

In the expansion of (a + b)^n, the k-th term is ...

  nCk·a^(n-k)b^k . . . . . k = 0 to n; nCk = n!/(k!(n-k)!)

Here, we have n=8, k=4, so the term of interest is ...

  8C4·x^4y^4 = (8·7·6·5)/(4·3·2·1)x^4y^4 = 70x^4y^4

The coefficient of the term is 70.

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A package of 25 wristbands cost $5.25. At this rate, what is the cost of 1 wristband in dollars and cents?
azamat

Answer:

$0.21

Step-by-step explanation:

We can set up a proportion. Say x is the cost of 1 wristband:

\frac{5.25}{25} =\frac{x}{1}

Now, we cross multiply:

25x = 5.25

Solving for x, we see that x = 0.21.

Thus, the answer is $0.21.

6 0
3 years ago
Read 2 more answers
Rlly need help on this ill give brainliest :)
Maksim231197 [3]

Answer:

3^15/5^16

Step-by-step explanation:

(3^3 x 3^6 x 5^-4) / (3^-6 x 5^12)

= (3^3 x 3^6 x 3^6) / (5^12 x 5^4)

= 3^15 / 5^16

4 0
2 years ago
Braden has 3 soccer balls and 2 basketballs that weighs a total of 5.44 pounds. Which equation and solution can be used to deter
STALIN [3.7K]
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8 0
3 years ago
Does it matter which dimensions you select for the lenght and the width when you find the area of a rectangle? Explain
Levart [38]
It does not. So Long as the length is multipled by the height aka Long edge multiplied with the short edge, you will obtain the area of the rectangle.
3 0
3 years ago
Why would understanding perpendicular and parallel lines be extremely important to someone in construction? Provide an example o
Tems11 [23]

Understanding perpendicular and parallel lines are extremely important, especially in the engineering field when building infrastructures or houses because they need to calculate how they will keep a building stable. For example, bridges we see have a lot of perpendicular and parallel lines, that's because without those the bridge can't hold itself up, it needs support from the metals that are parallel and perpendicular.

hope this helps!!

5 0
3 years ago
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