All categories

2 years ago

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

Mathematics

2 answers:

nekit [7.7K]2 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]2 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

Compute P7,2. (Enter an exact number.)

Katarina [22]

Answer:

Step-by-step explanation:

The permutation formula is P(n, r) = n! / (n - r)!. We know that n = 7 and r = 2 so we can write:

7! / (7 - 2)!

= 7! / 5!

= 7 * 6 * 5 * 4 * 3 * 2 * 1 / 5 * 4 * 3 * 2 * 1

= 7 * 6 (5 * 4 * 3 * 2 * 1 cancels out)

= 42

8 0

2 years ago

Read 2 more answers

Adrian ordered a blue-denim jacket for $69.75 and 2 sweaters for $55 each. With 7% sales tax and shipping below, how much was hi

Leni [432]

Your answer would be A

6 0

2 years ago

Read 2 more answers

Joseph’s lunch at a restaurant costs $13.00, without tac. He leaves the waiter a tip of 17% of the cost of the lunch, without ta

KonstantinChe [14]

The answer is D

17% of 13 is 2.21

13 + 2.21 = 15.21

3 0

2 years ago

Read 2 more answers

This dot plot shows the number of runs scored by yellow jackets in their last 12 baseball game what is the median number of runs

Darya [45]

The answer would be 6 (This is just to get 20 caracters NOT PART OF ANSWER)

5 0

2 years ago

Read 2 more answers

A lidocaine drip is infusing at 30 mL/hr on an infusion device. The drug is mixed 2g in 500mL D5W. How many mg/minute is the pat

SCORPION-xisa [38]

Answer:

2 mg/minute.

Step-by-step explanation:

We have been given that a drug is mixed 2 g in 500 ml.

First of all, we will convert 2 grams to milligrams. 1 gram equals 1000 milligrams.

2 grams = 2,000 mg.

Now, we will find amount of mg per ml as:

$\text{The amount of mg per ml}=\frac{2000\text{ mg}}{\text{500 ml}}$

$\text{The amount of mg per ml}=\frac{4\text{ mg}}{\text{ml}}$

We have been given that a lidocaine drip is infusing at 30 mL/hr on an infusion device, so amount of mg per hr would be:

$\text{Amount of mg per hour}=\frac{30\text{ ml}}{\text{ hr}}\times \frac{4\text{ mg}}{\text{ml}}$

$\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{ hr}}$

We know 1 hour equals 60 minutes.

$\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{ hr}}\times \frac{\text{1 hour}}{\text{60 minutes}}$

$\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{60 minutes}}$

$\text{Amount of mg per hour}=\frac{2\text{ mg}}{\text{minute}}$

Therefore, the patient is receiving 2 mg/minute.

8 0

2 years ago