To find the row that corresponds to n=10 in Pascal's triangle, we will need to use the formula for calculating the value of each entry in the row. The formula is given by:
C(n, k) = n! / (k! * (n - k)!)
where C(n, k) represents the value of the entry at row n and column k.
Using this formula, we can find the entries for row n=10 as follows:
C(10, 0) = 10! / (0! * 10!) = 1
C(10, 1) = 10! / (1! * 9!) = 10
C(10, 2) = 10! / (2! * 8!) = 45
C(10, 3) = 10! / (3! * 7!) = 120
C(10, 4) = 10! / (4! * 6!) = 210
C(10, 5) = 10! / (5! * 5!) = 252
C(10, 6) = 10! / (6! * 4!) = 210
C(10, 7) = 10! / (7! * 3!) = 120
C(10, 8) = 10! / (8! * 2!) = 45
C(10, 9) = 10! / (9! * 1!) = 10
C(10, 10) = 10! / (10! * 0!) = 1
Therefore, the row that corresponds to n=10 is:
1 10 45 120 210 252 210 120 45 10 1
This row has a similar shape to the previous row, but with larger values in each entry. Pascal's triangle is a fascinating mathematical object with many interesting properties, and it has been studied by mathematicians for centuries.
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Do 1/4 and 4/16 form a proportion
Answer:
There is a difference between FRACTION and PROPORTION.
Explanation of fraction:
On a card board sheet draw a square or rectangle or any simple shape of your choice. Divide your preferred shape into 4 equal parts. One portion or one part of the divided shape is 1/4. Three (3 ) parts of the divided shape equal 3/4. Also if the shape is divided into twenty (20). One (1) part is 1/20, sixteen(16) parts equal 16/20.
Explanation of Proportion:
If an item is shared in a proportion of 3:4,it means that A gets 3/(3+4) of what is to be shared , that is 3/7 of the bulk item to be shared. B gets 4/(3+4) of what is to be shared, that is 4/7 of the bulk item to be shared.
Also if an item is shared in a proportion of 16:20 , A gets 16/(16+20)=16/36 of Bulk item while B gets 20/(16+20)= 20/36 of the Bulk item being shared.
In effect Fractions and Proportions are related but different.
V (x) = (18 - 2x) (24-2x) (x)
what is a reasonable domain for V in this context?
Answer:
What are you asking?
Step-by-step explanation:
The domain of the given expression is all real numbers.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
The given function is v(x) =(18-2x)(24-2x)(x).
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation: (-∞, ∞)
Set-Builder Notation: {x|x∈R}
Therefore, the domain of the given expression is all real numbers.
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Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=
Answer:
Seventh term is 64
Sum of the first seven terms is 127
Step-by-step explanation:
The common ratio is 2
[tex]a_{n} = a_{1} r^{n - 1}[/tex]
n = 7 and the first term is 1. So,
[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]
Seventh term is 64
[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]
[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]
[tex]= \frac{128 - 1}{1} = 127[/tex]
Sum of the first seven terms is 127
A rectangular pyramid has a volume of 2032 cm. It is dilated by a scale factor of 3.
What will be the volume of the new rectangular pyramid?
Answer:
dunno
Step-by-step explanation:
Answer:
6,096
Step-by-step explanation:
2,032 x 3 = 6,096
HELP PLEASEEEEEE!!!!!!!!!!!!!!! TY
Which of the following correctly describes the quotient below?
A.
rational
B.
irrational
C.
neither rational nor irrational
D.
both rational and irrational
Answer:a
Step-by-step explanation:
How would you write this number in numeric form?
twenty-two and ninety-four thousandths
Answer:
22.094
Step-by-step explanation:
1/6 + (-7/9) in simplest form
Answer:
Step-by-step explanation:
3/18 + (-14/18)= -11/18
The following box plot shows points awarded to dance teams that competed at a recent competition:
Which dot plot best represents the box plot data?
(answer choices are in order btw) Answer choices:
Answer:
The following box plot shows points awarded to dance teams that
Step-by-step explanation:
Which dot plot best represents the box plot data?
(answer choices are in order btw) Answer choices:
Simple question: What is the difference between 32% vs 15%?
Answer:
Look below :)
Step-by-step explanation:
Well one of them is a bigger percentile, so the difference is 32-15. So the answer is 17. I hope this helps!
Ella practices piano for 45 minutes she spends m minutes longer working on her homework than she does practicing the piano
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but let's assume that you want to know the amount of time that she spends working on her homework.
Since we are informed that Ella practices piano for 45 minutes and that she spends m minutes longer working on her homework than she does practicing the piano, the expression to get the number of minutes that she uses on her homework will be:
= 45 + m
For example let's say that she spends 7 minutes more in her homework. Therefore, the total minutes spent on the homework will be:
= 45 + 7
= 52 minutes
Please help me........
Answer: i don't know
Step-by-step explanation:
hi i don't know any of this stuff i hope you don't learn anything Bye
What are the coordinates of the vertex?
27. A multiple choice test contains 5 questions, and each question has four possible responses.
How many different answer keys are possible?
A. 20
B. 120
C. 256
D. 1024
Answer:
D. 1024
Step-by-step explanation:
Each question can be answered 4 ways.
4 * 4 * 4 * 4 * 4 = 1024
D. 1024
Solve the system of equations using subtraction.
3x - 2y = 5
3x + y = 11
Which of the following sets of sides does not form a right triangle?
6.8.10
8.15, 17
7.24.26
5, 12, 13?
Answer:
7, 24, 26
Step-by-step explanation:
6 squared is 36 and 8 squared is 64. Add them together and you get 100, which is 10 squared. Do the same for the other ones and you'll notice that 7 squared and 24 squared added together is 625, which is not 26 squared. In my head 25 squared is 625(check if you don't believe me) so I know that the answer is the third one. The basic formula for a right triangle is a^2 + b^2 = c^2, and that's how you find if three numbers form a right triangle or not. Hope this helps :)
PLZ HELP ME :(
Tanisha lives in an apartment and pays the following expenses each month: electric bill,$42.60; TV streaming service,$27.99; and rent,$587.70. Estimate her total expenses for the month by first rounding each value to the nearest tens place.
A.)$659
B.)$650
C.)$670
D.)$660
Answer:
D)$660
Step-by-step explanation:
Add all of them up and you get $658.29 the number in the tens place is 5 and the number on the right is 8 so you round up.
Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?
X
0
4
8
10
>
0
0.5
1
1 25
X
-
5
10 12.5
y
0
4
8
10
0
4
8
*
10
0.8 0.8 0.8 0.8
X
0
5
10 125
y
0810 820 8.25 8
Please hurry I’m going to get my phone taking away if I don’t finish my work
Answer:
second table
Step-by-step explanation:
For a proportional relationship, the constant of proportionality k is
k = [tex]\frac{y}{x}[/tex]
Choose an ordered pair from each table and evaluate for k
Table 1
using (8, 1 ), then
k = [tex]\frac{1}{8}[/tex] = 0.125 ≠ 0.8
Table 2
using (10, 8 ), then
k = [tex]\frac{8}{10}[/tex] = 0.8
Table 3
using (8, 0.8 ), then
k = [tex]\frac{0.8}{8}[/tex] = 0.1 ≠ 0.8
Table 4
using (10, 20.8 ), then
k = [tex]\frac{20.8}{10}[/tex] = 2.08 ≠ 0.8
Table 2 has a constant of proportionality k = 0.8
Choose the student who correctly wrote the algebraic expression for the following statement.
Martha made six times as many goals.
Answer:
hector
Step-by-step explanation:
Aida is adding
hector is multiplying
camila is dividing
juan is subtracting
6x=6timesx=6(x)
so hector is right
Answer:
Hector's work
Step-by-step explanation:
"Six times as many" means 6 x the number of goal!
Hope that helps!
What is the slope of the line in this picture?
the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of the two books?
A:between 5 and 5 1/2 inches
B:between 5 1/2 and 6 inches
C:between 4 1/2 and 5 inches
GIVING BRAINLIEST IF CORRECT PLSS HEP QUICKK!!!!!
Answer:
Between 5 and 5 1/2 inches
Step-by-step explanation:
For what value of q is the equation -13(q+4)=7q+16 true?
Please help! Thanks!
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
plz i need help hurry
and how do you mark brainliest
Answer:7 times 3.14=21.98
Step-by-step explanation:click the crown at the bottom of my answer
Answer:
43.98
Step-by-step explanation:
arc length =2* pie * r
When the angle of elevation to the sun is 42 a flagpole casts a shadow that is 21 ft long. What is the height of the flagpole to the nearest foot?
Answer:
18.91 cm
Step-by-step explanation:
Let x represent the height of the flag pole
Tan= opposite/ adjacent
Tan 42°= x/21
x= Tan 42° × 21
= 0.9004 × 21
= 18.91 cm
Hence the height is 18.91 cm
PLEASE HELP! ASAP please help
Answer:
( 3 , -5 )
Step-by-step explanation:
the maximum number of students in a classroom is 26. if there are 16 students sign up for the art class,how many more students can join the class without exceeding the maximum? ues ">=" for more than and "<=" for less than.
and thanks for answering
Answer:
x = 16 ≥ 26
Step-by-step explanation:
x = 10
10 + 16 = 26
Sorry for the delay, my man!
Solve the next equation (5 x - 3)³ = 8
Answer:
x=1
Step-by-step explanation:
(5x-3)3=8
taking the cube of both sides we get
5x-3=2
adding three to both sides we get
5x=5
dividing by five on both sides we get
x=1
if you found my answer helpful please mark as brainliest.
5(x+2) = 20
15 points
Answer:
Step-by-step explanation:
remove the parenthesis
5x+10=20
5x+10-10=20-10
5x=10
x=2
Juanita had 20 dollars to spend on 3 gifts. She spent 8 3 4 dollars on gift A and 4 1 2 dollars on gift B. How much money did she have left for gift C?
Answer:
the amount left for gift c is $7.54
Step-by-step explanation:
The computation of the amount left for gift c is shown below:
= Total money to spend - spent on gift A - spent on gift B
= $20 - $8.34 - $4.12
= $20 - $12.46
= $7.54
Hence, the amount left for gift c is $7.54
Find the quotient
1. 22−9−2 ÷−5=
2. 3+ 27 ÷ +3=