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
Lelu [443]
3 years ago
12

What is the binomial expansion of (2x – 3)^5?

Mathematics
2 answers:
Tanya [424]3 years ago
7 0

Answer:

C

Step-by-step explanation:

(2x + 3)^5 = C(5,0)2x^5*3^0 +

C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5

Recall that

C(n,r) = n! / (n-r)! r!

C(5,0) = 1

C(5,1) = 5

C(5,2) = 10

C(5,3) = 10

C(5,4) = 5

C(5,5) = 1

= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5

= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243

= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243

= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243

kaheart [24]3 years ago
4 0

Answer:

the answer is C

Step-by-step explanation:

You might be interested in
If the r-value, or correlation coefficient, of a data set is 0.908, what is the coefficient of determination to three decimal pl
belka [17]
0.824.....Apex if answer changed not my fault but kinda helpful
5 0
4 years ago
Read 2 more answers
The heights in inches of orangutans Are normally distributed with a population standard deviation of 3" and an unknown populatio
CaHeK987 [17]

Answer: The 95% confidence interval is approximately (55.57, 58.43)

======================================================

Explanation:

At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.

The sample size is n = 17

The sample mean is xbar = 57

The population standard deviation is sigma = 3

The lower bound of the confidence interval is

L = xbar - z*sigma/sqrt(n)

L = 57 - 1.960*3/sqrt(17)

L = 55.5738905247863

L = 55.57

The upper bound is

U = xbar + z*sigma/sqrt(n)

U = 57 + 1.960*3/sqrt(17)

U = 58.4261094752137

U = 58.43

Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.

7 0
3 years ago
10.) Part A: What is the area, in square feet, of the kitchen?
just olya [345]

The computation shows that the area of the kitchen that's in the home in square feet is 50ft².

<h3>How to calculate the area?</h3>

It should be noted that an area of a rectangular space is calculated by multiplying the length by the width.

In this case, the area of the kitchen will be:

= 5ft × 10ft

= 50ft²

Learn more about area on:

brainly.com/question/25292087

4 0
2 years ago
Please help ASAP please
lesantik [10]

The answer is 1 19/80 or 1.2375.

Hope this helps!

3 0
3 years ago
Which expression is equivalnt (-18) - 64n
Naily [24]

Answer:

Your correct answer is option C. -2 (9 + 32n)

Step-by-step explanation:

Solution:

Options are not given in the question

Given First degree expression:

-18-64n

= (-2)×9 + (-2)×32n

Take (-2) common, we get

= (-2)( 9+32n)

Therefore you get your answer of option C. -2(9+32n)

8 0
3 years ago
Read 2 more answers
Other questions:
  • Rewrite 1 3/8 As a fraction greater than one
    12·2 answers
  • An oak tree, elm tree, and maple tree are standing in a park. The three trees are non-collinear. If the oak is 2 feet from the e
    13·1 answer
  • Jim, Dora, Ada, and Kim together placed a total of 60 cupcakes on a tray. Jim placed 0.45 of the cupcakes, Dora placed 10of the
    13·2 answers
  • What is the exterior and interior angle of a 18 sided polygon
    12·1 answer
  • HELP PLEASE MATH :((((
    6·1 answer
  • Help fast please it's timed ​
    11·1 answer
  • What is the sum of 421, 237, 112, and 100?
    12·2 answers
  • Pleaseeeee helpppppp
    13·1 answer
  • Please help fasttttttt
    9·1 answer
  • 7
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!