Answer:
$0.81
Step-by-step explanation:
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Answer:
3 1/2
Step-by-step explanation:
You have to do 7 divided by 2 or 1/2 x 7
7/63 can be simplified down to 1/9 because if you were to multiply 7 by 9 you would get 63? or an easier way to do it would be to divide 63 by 7
Answer:wxample:
Step-by-step explanation:each of the parts into which something is or may be divided.
"a large segment of the local population" · [more]
synonyms:
piece · part · bit · section · chunk · division · portion · slice · fragment · [more]
Answer:
The fourth term of the expansion is -220 * x^9 * y^3
Step-by-step explanation:
Question:
Find the fourth term in (x-y)^12
Solution:
Notation: "n choose k", or combination of k objects from n objects,
C(n,k) = n! / ( k! (n-k)! )
For example, C(12,4) = 12! / (4! 8!) = 495
Using the binomial expansion formula
(a+b)^n
= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n
For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is
C(n,3)a^(n-3)b^3
=C(12,3) * x^(12-3) * (-y)^(3)
= 220*x^9*(-y)^3
= -220 * x^9 * y^3