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
Molodets [167]
3 years ago
6

Expand the given power using the Binomial Theorem. (z – 11)4

Mathematics
2 answers:
nekit [7.7K]3 years ago
4 0

Answer:

(z-11)^{4}=z^{4}-44z^{3}+726z^{2}-5324z+14641

Step-by-step explanation:

* Look to the attached file

Download docx
Neporo4naja [7]3 years ago
4 0

Answer:

Step-by-step explanation:

(z-11)^4 is to be found out

Recall binomial theorem as

(x+a)^n=x^n+nC1 x^{n-1}a+nC2 x^{n-1} a^2+...+a^n

Substitute x =z, a =-11 and n =4

We get

(z-11)^4 = z^4-4z^3(11)+4C2 z^2 (11^2)-4C3 (z)(11^3)+11^4\\(z-11)^4 = z^4-44z^3 +726z^2-5324z+14641

This would be the simplified expansion for the given power.

You might be interested in
Use the distributive property to simplify the expression. 8(3 + 4) = 24 +
Marina CMI [18]
Using the distributive property is done by multiplying the factor (outside the parentheses) to each term within it. In this case, 8(3 + 4), we multiply the 8 by 3, and then add it to the product of 8 x 4:
8(3 + 4) = 8 x 3 + 8 x 4 = 24 + 32
If we need to simplify further, this adds up to 56.
9 0
3 years ago
Read 2 more answers
Which table represent a linear function
andrew-mc [135]
The first one it goes up in the same increments
8 0
3 years ago
A person is purchasing a new golf club bag. The compartment for the golf balls is approximately the shape of a rectangular prism
Lerok [7]

Answer:

The answer to your question is: ≈ 178 balls

Step-by-step explanation:

Data

rectangular prism = 8 in x 11 in x 5 in

golf balls = 1.68 in diameter

Formula

Volume rectangular prism = l x w x h = 8 x 11 x 5 = 440 in³

Volume of ball = (4/3) πr³ = (4/3) (3.1416) (0.84)³ = 2.48 in³

# of balls inside the compartment = volume rectangular prism / volume ball

# of balls = 440 / 2.48

               = 177.4 ≈ 178 balls

8 0
3 years ago
PLEASE HELP! GIVING BRAINLIEST! DUE SOON PLEASE HELP!
Mrrafil [7]

Answer:

4-9 = 4+(-9)

-6-7 = -6+(-7)

-4-(-9) = -4 + 9

6-(-7) = 6+7

Step-by-step explanation:

Double negatives means a positive and one positive and one negative is a negative.

Please give brainliest. I am working hard to get it.

7 0
2 years ago
Read 2 more answers
Answer the following equations:
Andrew [12]

Step-by-step explanation:

3(t+5) = 9

3t+15 = 9

3t = -6

t = -2

2(f-7) = -10

2f - 14 = -10

2f = 4

f = 2

-(c - 9) = 4

-c + 9 = 4

-c = -5

c = 5

-6(2t + 8) = -84

-12t - 48 = -84

-12t = -36

12t = 36

t = 3

-10 (s + 2) = -57

-10s - 20 = -57

-10s = -37

s = 3.7

7(3w + 8)/3 = -9

By cross multiplication,

7(3w + 8) = -27

21w + 56 = -27

21w = -83

w = -3.95

35/5 = (F - 32)/9

7 = (F - 32)/9

By cross multiplication,

63 = F - 32

63 + 32 = F

95 = F

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

7 0
2 years ago
Other questions:
  • 20 POINTS<br> Please answer the question in the photo
    14·1 answer
  • The measure of arc AB = ??? degrees
    5·1 answer
  • Lamar rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 78 cents for each mile d
    14·1 answer
  • James estimated the total cost of groceries to be $50. The actual cost is$65. What is the percent error. Round to nearest whole
    15·1 answer
  • The mean score on a test is 50. which CANNOT be true?
    5·2 answers
  • Find the average rate of change of the parabola below over the interval [1,3]
    15·1 answer
  • Can some one help me please god bless you <br><br><br> 25 points
    12·1 answer
  • Compute the volume of the right prism.<br><br> please helppp
    9·1 answer
  • Simplify. Use the ^ to show an exponent and the / for the fraction bar.
    8·1 answer
  • How does a translation move a figure?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!