9514 1404 393
Answer:
240
Step-by-step explanation:
The generic k-th term of the expansion of the binomial ...
(a +b)^n
is given by ...
(nCk)a^(n-k)b^k . . . . . where nCk = n!/(k!(n-k)!) and 0 ≤ k ≤ n
For this problem, we have ...
a=2x, b=y, n=6, k=2
Then the 2nd term (counting from 0) is ...
6C2×(2x)^4×y^2 = (6·5)/(2·1)·16x^4·y^2
= 240x^4y^2
The desired coefficient is 240.
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<em>Additional comment</em>
The coefficients for the expansion match the numbers in a row of Pascal's triangle. The row beginning with 1, n will have the coefficients for the expansion to the n-th power.
A circle is a curve sketched out by a point moving in a plane. The circumference of the ring of fire is 6.2831 meters.
<h3>What is a circle?</h3>
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The circumference of the ring if the radius is 1 meter is,
Circumference of the ring = 2πr = 2 × π × 1 = 6.2831 meters
Hence, the circumference of the ring of fire is 6.2831 meters.
Learn more about Circle:
brainly.com/question/11833983
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Answer: 125% increase
Step-by-step explanation: She won 200 dollars last week and now she won 450. If more, less divides. So 450 is more than 200.
This would give you 450/200. You're trying to find percentage so you multiply by a hundred. 450/200 * 100. This will give you 125%
