Answers
Answer:
[tex](x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]
[tex](x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex]
Step-by-step explanation:
In order to find the values of [tex](x+y)^5[/tex] and [tex](x+y)^6[/tex], you need to apply the binomial theorem (high-level math you most likely don't need to worry about, it's easier than multiplying all the binomials together).
[tex](x+y)^5[/tex] = [tex]\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i[/tex] = [tex]\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5[/tex] = [tex]x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex].
[tex](x+y)^6[/tex] = [tex]\sum _{i=0}^6\binom{6}{i}x^{\left(6-i\right)}y^i[/tex] = [tex]\frac{6!}{0!\left(6-0\right)!}x^6y^0+\frac{6!}{1!\left(6-1\right)!}x^5y^1+\frac{6!}{2!\left(6-2\right)!}x^4y^2+\frac{6!}{3!\left(6-3\right)!}x^3y^3+\frac{6!}{4!\left(6-4\right)!}x^2y^4+\frac{6!}{5!\left(6-5\right)!}x^1y^5+\frac{6!}{6!\left(6-6\right)!}x^0y^6[/tex]= [tex]x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex].
Related Questions
What fraction is equal to the length of the red segment?
Answers
Answer:
The red segment is from 1/4 to 3/4.
Step-by-step explanation :
Answer:
The red segment is from 1/4 to 3/4.
3/4 - 1/4 = 2/4
2/4 = 1/2
1/2
This answer can also be found by seeing there are four equal boxes making up the one larger box, since two out of the four boxes are filled then the fraction would be 2/4, which simplifies to 1/2
A truck driver drives at an average rate of 43 miles per hour.
At this rate, how many miles will he drive in 11 hours?
Answers
Answer: Hello: ) ✨473 miles
Step-by-step explanation:
43 mph for 11 hours = 43×11 = 473
If 0 is a positive acute angle and 2 cos 0+3 = 4,
find the number of degrees in 0.
Answers
construction company has just constructed 150 new apartments. An external inspector is hired to do the final checking before they are given way to prospective customers. Inspector at random selects 8 apartments and and counts how many defects are in each one them. He finds 7,3, 2, 1, 2, 5, 4, 4 defects. What will be Upper Control Limit for a C chart
Answers
Answer:
Upper Control Limit for a c-chart = 9.1
Step-by-step explanation:
Given - construction company has just constructed 150 new apartments. An external inspector is hired to do the final checking before they are given way to prospective customers. Inspector at random selects 8 apartments and and counts how many defects are in each one them. He finds 7,3, 2, 1, 2, 5, 4, 4 defects.
To find - What will be Upper Control Limit for a C chart ?
Proof -
Upper Control Limit for a c-chart = c bar + 3(square root of c bar)
Now,
c bar = [tex]\frac{7+3+2+1+2+5+4+4}{8}[/tex] = 3.5
∴ we get
Upper Control Limit for a c-chart = 3.5 + 3(square root of 3.5)
= 3.5 + (1.87)
= 3.5 + 5.61
= 9.1
⇒Upper Control Limit for a c-chart = 9.1
Solve -2a -5 >3
which graph shows the solutions?
Answers
Answer: A. a < -4
Have a great day.
Please help a picture of the problem is attached plz no trolls
Answers
5r+1w=80
System of equations :)
From the Equation:
(x-8)2 = 16(y+14)
Answers
Answer:
x=8y+120
Step-by-step explanation:
The sum of two consecutive odd integers
is 540. What are the integers?
Answers
Answer:
The integers are 269 and 271.
Step-by-step explanation:
Since the sum of two consecutive odd integers is 540, to determine what are the integers, the following calculation must be performed:
Odd integer 1: X
Odd integer 2: X + 2
X + X + 2 = 540
2X + 2 = 540
2X = 540 - 2
X = 538/2
X = 269
Therefore, the integers are 269 and 271.
A random telephone survey of adults (aged and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that of those surveyed planned to file their taxes electronically. a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically.
a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically.
b. The survey reported that the most frequently used method for preparing the tax return is to hire an accountant or professional tax preparer. If 60% of the people surveyed had their tax return prepared this way, how many people used an accountant or professional tax preparer?
c. Other methods that the person filing the return often used include manual preparation, use of an online tax service, and use of a software tax program. Would the data for the method for preparing the tax return be considered categorical or quantitative?
Answers
Answer:
I think the correct answer is c
What is the range of the data
Answers
Answer:
56
Step-by-step explanation:
The range of a box and whisker graph is the difference of the furthest point to the right and furthest point to the left. 76-20 = 56
Answer:
The range is 56.
Step-by-step explanation:
The range is the greatest value subtracted by the smallest value.
76 - 20 = 56.
Also, It would be FRICKIN' FANTABULOUS if I could get brainliest!!!
-
A summer camp has 492 campers who will be going on an outing. Estimate the number of vans needed to accommodate the entire camp if each van can comfortably
hold 12 passengers. Then calculate the actual number of vans that will be needed.
Answers
Answer: 41 vans will be needed.
Step-by-step explanation:
There are a total of 492 campers. We know that each van can hold a total of 12 passengers.
So, simply divide 492 by 12 to get the total amount of vans needed.
492/12 = 41 vans.
Explain how to do this and provide a answer.
Answers
Answer:
The answer is 3.
Step-by-step explanation:
All you need to do is insert 3 and 2 into T and S's places because they give you the value of both or then. When you insert the numbers, you multiply them. It should look like this: (12(3)) divided by (6(2)). Then divided both the numbers in the order the equation is asking to get 3.
What is an angle that is adjacent to CDI?
Answers
Answer:
IDH or CDE
Step-by-step explanation:
adjacent angles share same vertex and share one side so it's either IDH or CDE.
A school guidance counselor is researching the number of high school students who have a part-time job. She emails a survey to 500 students that contains the question "Given that studies show that holding a part-time job helps with college admissions, do you have a part-time job or want a part-time job?” Select the type of bias most likely to affect the results of the survey.
Response bias
Nonresponse bias
Question wording bias
Undercoverage bias
Answers
Answer:
C is the answer (Question wording bias)
Step-by-step explanation:
I Just did this assignment on edge
Answer:
Question wording bias.
Step-by-step explanation:
I got it correct.
Solve and reduce to lowest terms:
6 / 11 x 1 / 3
Answers
Answer:
2/11
Step-by-step explanation:
6/11 x 1/3 =
6/33 =
2/11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
2/11 as a fraction
0.18 as a decimal
Step-by-step explanation:
the radius of a circle is 3 meters what is the circle's area
Answers
Step-by-step explanation:
the answer is 28.2m²
.....
..
....
SOMEONE PLZZZ HELP ME THIS IS DUE IN LIKE 5 MINS (I WILL MARK BRAINLIEST)
Answers
Answer:
1) x = 8
2) ∠RPS = 36°
Step-by-step explanation:
GIVEN :-
∠QPS = 180°∠QPR = 7x + 88∠RPS = 3x + 12TO FIND :-
Value of xMeasure of ∠RPSFACTS TO KNOW BEFORE SOLVING :-
In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.
PROCEDURE :-
1)
Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.
⇒ ∠QPR & ∠RPS are linear pair.
⇒ ∠QPR + ∠RPS = 180°
⇒ 7x + 88 + 3x + 12 = 180°
⇒ 10x + 100 = 180
⇒ 10x = 180 - 100 = 80
⇒ x = 80/10 = 8
2)
x = 8. So,
∠RPS = 3×8 + 12 = 24 + 12 = 36°
The bowling team at Lincoln High School must choose a president, vice president,
and secretary. If the team has 12 members, how many ways could the officers be
chosen?
Answers
Answer:
The officers can be chosen in 1320 ways.
Step-by-step explanation:
The order in which the officers are chosen is important(the first is president, second vice president and third secretary) which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
3 officers from a set of 12. So
[tex]P_{(12,9)} = \frac{12!}{9!} = 1320[/tex]
The officers can be chosen in 1320 ways.
PLEASE HELP! PLEASE HELP! PLEASE HELP! QUICK
Answers
Answer:
for A plug in those numbers on the right and on the left start with 1 and move up(for example 1,2,3,4,5...)
For b the answer is 2.5x²−4.5x+1.
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Maybe try 1200?
The lateral area of a cone is 558 pi cm^2. The radius is 18 cm. Find the slant height to the nearest tenth
Answers
Answer:
31.
Step-by-step explanation:
π(18)l = 558π
l = 558/18 = 31
Therefore the answer is 31.
DO THE ATTACHMENT PLEASE IT IS DUE IN LESS THAN 10 MINUTES, OR I GET A PHONE CALL HOME. I WILL GIVE BRAINLEST TO ANYONE WITH THE RIGHT ANSWER
Answers
d = sqrt(6^2 + 10^2 + 15^2) = 19
The time it takes Jamal to make pancakes is based on
the number of pancakes he makes. The time in minutes
can be found using the function 3p + 15 where p
represents the number of pancakes he makes. If Jamal spent 141 minutes making pancakes this morning, then how many pancakes did he make?
Answers
two x subtracted by eight
2x + 8
Answers
Answer:
(2x-8)(2x+8)
4x squared -64 is the answer
how you get it is by multiplying 2x times 2x to get 4x squared and -8 times 8 = -64
hope this helps
if this is algebra 1 then this is right
PLEASE HELP ASAP
The data set gives heights, in inches, of a group of students.
71 60 72 70 60 63 64 68 59
Create a stem display for this data.
Answers
Answer:
5 | 9
6 | 0 0 3 4 8
7 | 0 1 2
Step-by-step explanation:
The stems (to the left of the vertical line) are the first digits of the data, the leaves (to the right of the line) are the second digits)
7 | 0 1 2 represents the data 70, 71, 72
The weekly profit, In dollars, of a store in the past twelve weeks is shown below.
195, 260, 200, 300, 170, 190, 240, 189, 178, 214, 214, 215
What is the store's average weekly profit?
$213.75
$190.50
$190.00
$189.50
Answers
Answer:
A. $213.75
Step-by-step explanation:
If we add up all the numbers listed, we get a sum of 2565.
Divide $2,565 by how many numbers we added. We added 12 numbers.
2,565 ÷ 12 = 213.75.
Therefore, the average is $213.75.
What is the salesperson's commission on a $900
sale if the commission rate is 25%?
Answers
Answer:
the sales commission is $225
Step-by-step explanation:
Given that
The sale is of $900
And, the commission rate is 25%
We need to find out the sales commission
So, the sales commission is
= Sale × commission rate
= $900 × 0.25
= $225
We simply multiply the sales with the commission rate so that the sales commission could come
Hence, the sales commission is $225
HELP PLSSSS I WILL GIVE A BRAINLY AND 20 POINTS!!
Answers
Answer:
y=x-4 or f(x)=x-4
Step-by-step explanation:
therefore, x=1 ,y=-3; x=2, y=-2 ; etc
a. Show the sampling distribution of p, the proportion of groceries thrown out by your sample respondents.b. What is the probability that your survey will provide a sample proportion within 6.03 of the population proportion
Answers
Answer:
The corresponding p - value will be is < 0.00001 which is less than 0.05
Step-by-step explanation:
Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014
For the probability that the survey will provide a sample proportion within 6.03 of the population proportion
we will find the z statistic
z= p^-p/√p(1-p)/n
But √p(1-p)/n= 0.014 and p^-p= 6.03
Putting the values
z= 6.03/0.014= 430.71
The corresponding p - value will be is < 0.00001 which is less than 0.05
Can someone help please?
Answers
Answer
for number 6 it should be 459
Step-by-step explanation:
Remember you always multiply the numbers for a easy way or method u can use LxWxH=V. Lengh x Width x Height=Volume
Im so sorry if its wrong