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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.

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What type of solution does the system of linear equations have?
Makovka662 [10]

it has no solution

because the whole thing will cancel itself out hopes that helps


8 0
3 years ago
Read 2 more answers
|x|+5=18 <br> 5 or - 5 <br> 13 or - 13 <br> 18 or - 18 <br> 23 or - 23
slava [35]
Just transpose the 5 to the right side of 18 so it will look like this, /x/ = 18 - 5
Then get the difference and it would be 13. So to check this out if it is correct, substitute x for the value of 13 and it will look like this.
13 + 5 = 18
I hope my answer helped you.
6 0
3 years ago
Find the indicated limit, if it exists. <br><br> See file below.
White raven [17]

Answer:

c

Step-by-step explanation:

The limit exists because it's continuous since they equal each other

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6 0
2 years ago
Please help!
mariarad [96]

Answer: 1,045 passengers

Step-by-step explanation:

This question involves multiple steps. Let's first try to figure the number of children on the cruise.

The ratio of girls to the total number of children was 2:5. There are 198 boys.

This information tells me that for every 5 children, there's 2 girls and 3 boys.

Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.

198÷3=66

Let's multiply 66 by 5 since that's the number of groupings based off the ratio.

66×5=330

Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.

There are 330 children on the cruise.

The ratio of the number of adults to the number of children was 13:6.

For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.

330÷6=55

Let's now multiply the groupings by 13 to find the number of adults.

55×13=715

So there should be 715 adults and 330 children on the cruise.

715+330=1,045

5 0
3 years ago
Help please! any help is appreciated
maria [59]

Answer:

Step-by-step explanation:

6.

P(even)=4/8=1/2

=50 %

7.

P(8)=23/50

=46 %

5 0
3 years ago
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