9514 1404 393
Answer:
945x^3·y^16
Step-by-step explanation:
The 5th term will be ...
C(7,4)(3x)^3(y^4)^4 = 35·27·x^3·y^(4·4)
= 945x^3·y^16
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The coefficients of the expansion are C(n, k) where n is the exponent of the binomial, and k+1 is the term number. This is n!/(k!(n-k)!). The general (k-th) term of the expansion (a+b)^n is C(n, k)a^(n-k)b^(k) where k ranges from 0 to n.
Answer:
4.16 in^3
Step-by-step explanation:
Given data
Volume of sphere= 4/3πr^3
Radius= 1 inch radius
Substitute
Volume of sphere= 4/3*3.14*1^3
Volume of sphere= 4/3*3.14*1
Volume of sphere= 4*1.04
Volume of sphere= 4.16 in^3
I really hate these algebra problems pretending to be geometry.
Anyway angles B and D are congruent in a parallelogram. Geometry part done.
4n - 2 = 2n + 32
2n = 34
n = 17
Answer: 17, which is the 3rd choice