Answer:
Correct choice is D
Step-by-step explanation:
The i-th term of the binomial expansion
is
![T_i=C^{10}_{i-1}\cdot \left(\dfrac{1}{2}x\right)^{10+1-i}\cdot (-y)^{i-1}.](https://tex.z-dn.net/?f=T_i%3DC%5E%7B10%7D_%7Bi-1%7D%5Ccdot%20%5Cleft%28%5Cdfrac%7B1%7D%7B2%7Dx%5Cright%29%5E%7B10%2B1-i%7D%5Ccdot%20%28-y%29%5E%7Bi-1%7D.)
If i=8, then
![T_i=C^{10}_{7}\cdot \left(\dfrac{1}{2}x\right)^{10+1-8}\cdot (-y)^{8-1}=-120\cdot \left(\dfrac{1}{2}x\right)^3\cdot y^7=-120\cdot \dfrac{1}{8}x^3\cdot y^7=-15x^3y^7.](https://tex.z-dn.net/?f=T_i%3DC%5E%7B10%7D_%7B7%7D%5Ccdot%20%5Cleft%28%5Cdfrac%7B1%7D%7B2%7Dx%5Cright%29%5E%7B10%2B1-8%7D%5Ccdot%20%28-y%29%5E%7B8-1%7D%3D-120%5Ccdot%20%5Cleft%28%5Cdfrac%7B1%7D%7B2%7Dx%5Cright%29%5E3%5Ccdot%20y%5E7%3D-120%5Ccdot%20%5Cdfrac%7B1%7D%7B8%7Dx%5E3%5Ccdot%20y%5E7%3D-15x%5E3y%5E7.)
Answer:
17<9 + x Help me please what is the answer
Step-by-step explanation:
You add up all the sides. 1⅛ + 1⅜ + 1⅝ = 4⅛
Answer:
The ways in which he can make selection = ![10\times 9 =90](https://tex.z-dn.net/?f=10%5Ctimes%209%20%3D90)
Step-by-step explanation:
Student is having a list of
books.
Assuming that the student can't read the same book twice.
The student has
choices to make for an outside reading requirement,for his 1st choice, he had
books to choose from; for his 2nd, he has
books left to choose from therefore the total permutations of his choices are ![=10\times 9 =90](https://tex.z-dn.net/?f=%3D10%5Ctimes%209%20%3D90)
So the total ways in which the student can make his selection = ![90](https://tex.z-dn.net/?f=90)
Answer:
You click the crown on an answer. you can practice on mine ;)
Step-by-step explanation: