1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariana [72]
4 years ago
6

Find the eighth term in (a+b) ^14

Mathematics
2 answers:
const2013 [10]4 years ago
8 0
The nth term in the expansion (a+b)^m=
(\frac{(m)!}{(n-1)!(m-(n-1))!})a^(m-(n-1))b^(n-1)

so

8th term
(\frac{(14)!}{(8-1)!(14-(8-1))!})a^(14-(8-1))b^(8-1)=
(\frac{(14)!}{7!(7)!})a^(7)b^(7)=
(\frac{14*13*12*11*10*9*8}{7!})a^(7)b^(7)=
3432a⁷b⁷ is answer
Musya8 [376]4 years ago
3 0
(a+b)^n\\\displaystyle T_r=\binom{n}{r-1}a^{n-r+1}b^{r-1}\\\\T_8=\binom{14}{8-1}a^{14-8+1}\cdot b^{8-1}\\T_8=\binom{14}{7}a^7b^7\\T_8=\dfrac{14!}{7!7!}\cdota^7b^7\\T_8=\dfrac{8\cdot9\cdot10\cdot11\cdot12\cdot13\cdot14}{2\cdot3\cdot4\cdot5\cdot6\cdot7}\cdot a^7b^7\\T_8=3432a^7b^7
You might be interested in
Estimate the percent of the number.<br> ​11% of 504
solmaris [256]
55 is the estimated answer
5 0
3 years ago
Read 2 more answers
Which statements are true about the number represented by the blocks? Check all that apply.
chubhunter [2.5K]

Answer:

alllllllll

Step-by-step explanation:

5 0
3 years ago
10 pt
lord [1]

Answer:

C. 434π

Step-by-step explanation:

Given:

Radius (r) = 7 in.

Height (h) = 24 in.

Required:

Surface area of the cylinder

Solution:

S.A = 2πrh + 2πr²

Plug in the values

S.A = 2*π*7*24 + 2*π*7²

S.A = 336π + 98π

S.A = 434π

5 0
3 years ago
Find the distance between the points (13,20) and (18,8)​
steposvetlana [31]

Answer:

(5,12)

Step-by-step explanation:

because 18-13=5 and 20-8=12

5 0
4 years ago
Read 2 more answers
Distance on the Coordinate Plane
s344n2d4d5 [400]

9514 1404 393

Answer:

  B.  10 units

Step-by-step explanation:

The distance formula is useful.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((3-(-5))² +(-2-4)²) = √(64 +36) = √100

  d = 10

The distance from L to M is 10 units.

6 0
3 years ago
Other questions:
  • PLEASE HELP...AGAIN this is due tomorrow and it's late at noon..
    8·1 answer
  • What is the simplified expression for the expression below?
    11·2 answers
  • Solve the following equations.<br> 3 ⋅ 62^x = 648
    12·1 answer
  • Factor by grouping. a^2+2ab-24b^2
    8·1 answer
  • What would be the answer
    9·2 answers
  • Best estimate of -15/16+-1/2
    15·1 answer
  • Draw a number line to represent the any quality
    8·1 answer
  • Which represents a unit rate the cost of cat food $36 per 3 bag, the cost of orange juice is $3 per jug, the cost of photocopies
    5·1 answer
  • Need help on this problem
    9·2 answers
  • IF UR GOOD AT PRECALC PLEASE HELP
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!