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
slava [35]
3 years ago
10

X+1 ^ 16 what is the coefficient of x^5

Mathematics
1 answer:
kirza4 [7]3 years ago
8 0
Binomial theorem:

(x+1)^{16}=\displaystyle\sum_{k=0}^{16}\dbinom{16}kx^{16-k}1^k=\sum_{k=0}^{16}\dbinom{16}kx^{16-k}

The x^5 term corresponds with the term in the sum for which 16-k=5\implies k=11. For this k, we get

\dbinom{16}{11}x^{16-11}=\dbinom{16}{11}x^5

So the coefficient you want to find is

\dbinom{16}{11}=\dfrac{16!}{11!(16-11)!}=4368
You might be interested in
You're on a train that's moving forward at 50 mph. You throw a ball in the direction that the train is moving. Relative to you a
dsp73

Answer:

Velocity =  70mph

Step-by-step explanation:

Given

Train = 50mph

Ball = 20mph

Required

How fast is the ball seem to be moving?

This question illustrates relative velocity;

Since the ball and the train moves in the same direction, the required velocity relative to the person standing behind is:

Velocity =  Train + Ball

i.e. we add both velocities

Velocity =  50mph + 20mph

Velocity =  70mph

8 0
3 years ago
[3 - (4 + 32 * 8) ÷ 4] =
serg [7]
<span>[3 - (4 + 32 * 8) ÷ 4] 
=</span>[3 - (4 + 4) ÷ 4] 
= 3 - 8 ÷ 4
= 3 - 2 
= 1
7 0
2 years ago
The Jensen family took a trip in September. Sally is calculating the gas mileage in miles per gallon for her dads SUV. When he f
Fynjy0 [20]
U don't have enough information to answer the question because u need to know how much the gas is per gallon
3 0
3 years ago
Use the net to find the lateral area of the prism. 15 m 3 m 6 m 3 m 6 m
postnew [5]

Answer:

270 m²

Step-by-step explanation:

LA = (3+6+3+6)×15

= 18×15 = 270 m²

5 0
3 years ago
Which equation is graphed here?
Oxana [17]

The equation graphed is

y = -3x + 3

5 0
3 years ago
Other questions:
  • The company June works for pays her 12$ per hour. She works 30 hours per week, and she receives a paycheck every 2 weeks. How do
    7·1 answer
  • Your email marketing service shuts you down if your spam reports exceed 2%. You are doing a mailing to 800 people. What is the m
    12·2 answers
  • BRAINLIEST ASAP! PLEASE HELP ME :)
    10·1 answer
  • An astronaut is working on a satellite 200 miles above the ground. What is the measure of BD⌢, the portion of Earth that the ast
    9·1 answer
  • LAST ONE OK BUT HELP PLZ​
    15·1 answer
  • Which equation has a graph that is parallel to the graph of 2x - y = -1?
    10·1 answer
  • NEED HELP WITH THESE 2 QUESTIONS ASAP!!!
    14·1 answer
  • You will have BRAINLYEST<br><br>Which net represents this solid figure?
    8·1 answer
  • Use order of operations to simplify the expression below.<br><br> 42 + 3 ×(9−5)÷2
    15·2 answers
  • PLEASE ANSWER ASAP, WILL GIVE BRAINLIEST IF CORRECT
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!