The requried factor of the given expression aⁿ +aⁿ⁺¹ is given as aⁿ and (1 + a)
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Given expression,
= aⁿ +aⁿ⁺¹
In order to factor the above expression we are using the property,
x² = x¹ (x¹)
So,
= aⁿ + a.aⁿ
Now, taking aⁿ common,
= aⁿ(1 + a)
So, aⁿ and (1 + a) are the requried factors.
Thus, the requried factor of the given expression aⁿ +aⁿ⁺¹ is given as aⁿ and (1 + a)
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Brian, Josh, Chad, Jordan, Ryan, and Rachel are the 6 players in a round-robin racquetballtournament. Each player will play aset against each of the other players. List all the sets that need to be played.
there are 15 sets that need to be played in the tournament. To list all the sets, we can simply list all the possible combinations of 2 players from the group of 6.
What is the combination?
In simple words, combination involves the selection of objects or things out of a larger group where order doesn't matter. The formula for combination helps to find the number of possible combinations that can be obtained by taking a subset of items from a larger set.
There are a total of 6 players in the round-robin racquetball tournament, which means that each player will play a set against each of the other 5 players.
To determine the total number of sets that need to be played, we can use the combination formula:
nC₂ = (n*(n-1))/2
where n is the number of players.
In this case, n = 6, so:
6C₂ = (6*(6-1))/2 = 15
Hence, there are 15 sets that need to be played in the tournament. To list all the sets, we can simply list all the possible combinations of 2 players from the group of 6:
Brian vs. Josh
Brian vs. Chad
Brian vs. Jordan
Brian vs. Ryan
Brian vs. Rachel
Josh vs. Chad
Josh vs. Jordan
Josh vs. Ryan
Josh vs. Rachel
Chad vs. Jordan
Chad vs. Ryan
Chad vs. Rachel
Jordan vs. Ryan
Jordan vs. Rachel
Ryan vs. Rachel
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I will give barinliest please help
Answer:
Step-by-step explanation:
In order:
50.24,
12.56,
3.14,
200.96,
113.04,
38.465,
153.86,
28.26,
19.625
PLEASE HELP QUICKLY❗️❗️❗️
Answer:
C
Step-by-step explanation:
Can I have Brain List
Answer:
a
Step-by-step explanation:
What is m∠1?............
the answer is 148
hope that helped lol
Drew bought gifts for $140. Sales tax is 5.75%. How much tax did he pay?
a
$220.50
b
$80.50
c
$8.05
d
$148.05
Answer:
its c! :) I hope this helped you:)
Find the area of the following shape:
Answer:
Multiply them
Step-by-step explanation:
use the strategy
M.
7. GARDENING Jane needs to buy mulch
for the garden with the dimensions
shown in the figure. For how much area
does Jane need to buy mulch? Round to
the nearest tenth.
su
ha
to
los
15.5 yd
Answer: 95.0 square feet
d = 6 ft what is the circumference
Answer:
18.84955592 or 6pi
Step-by-step explanation:
If a box of wheat crackers contains 6 servings and has a total of 420 calories. Find the number of calories in 1 serving.
Step-by-step explanation:i think you have to divide then mulitiply
PLEASE HELP FOR 20 POINTS!
Answer:
Yes
Step-by-step explanation:
PLS HELP ASAP! 10 POINTS!!
Answer:
1920
Step-by-step explanation:
14 × 8 × 10 = 1120
10 × 10 × 8 = 800
1120 + 800 = 1920
26.6 is what percent of 53.2?
Answer:
Step-by-step explanation:
26.6/53.2 = 0.5 = 50%
26.6 is 50% of 53.2
The team won 18 of its 30 games.
What was the team's won-lost ratio?
Answer:
If they played 30 games and won 18, then they lost12, since 30-18 = 12
win:lose
18:12
You can simplify this if you want
18:12
9:6
3:2
BQ)
Marbles:
5 red
3 green
4 yellow
Total marbles = 5 + 3 + 4 = 12.
The probability of picking a green marble is 3/12, since there are 3 green marbles possible to grab and 12 total. 3/12 can be reduced to 1/4, or .25. Devon has a 25% chance of picking a green marble.
Step-by-step explanation:
What translation was used on ABCD to produce A'B'C'D'?
Answer:
x+2 and y-4 are the answers
Solve w=9x + 5y, for y
Answer:
the answer is A
Step-by-step explanation:
Answer:
y=1/5w-9/5x
Step-by-step explanation:
I’m a 6th grader I need help on this
Answer:
whats the question? I don't see anything.
Identify the equation of a line parallel to y = 3x − 6 and passing through (3, 5) in slope-intercept form.
Please answer quickly
Answer:
y=3x-4
Step-by-step explanation:
graph it and you wll see
hope ths helped you
Help me please it’s kind of hard to me
Answer:
wat do u need help with i can help :D
Step-by-step explanation:
Need help ? I can help you with your questions !
Answer:
Thank you ma'am. I have one
Step-by-step explanation:
I need help with math! ->
Answer:
C) and D)
Step-by-step explanation:
Answer:
C and D
Step-by-step explanation:
A) 8(x+2)
When using the distributive property, this equation equals 8x+16
8x+16 ≠ 8x+4B) 12x+4-8x+4
After adding all like terms, this equation equals 4x+8
4x+8 ≠ 8x+4C) 4(2x+1)
After using the distributive property, this equation equals 8x+4
8x+4 = 8x+4D) 5x+2+3x+2
After combining all like terms, this equation equals 8x+4
8x+4 = 8x+4Do you links of a rectangle is for X +7 and the width is three if the area of the rectangle is 129 square units what is the value of X
Answer:
x = 36
Step-by-step explanation:
Length of a rectangle, x+7
Width = 3
Area of the rectangle, A = 129 units²
The area of a rectangle is given by :
A = lb
So,
[tex](x+7)\times 3=129\\\\(x+7)=43\\\\x=43-7\\\\x=36[/tex]
So, the value of x is equal to 36.
What is the withdrawal of $150 at the end of each year for 14 years with an interest rate of 7 percent
Answer:
$10.5
Step-by-step explanation:
Given data
P=$150
T= 1year
R= 7%
The simple interest formula will give the accurate amount at the end of each year
A=P(1+rt)
A=150(1+0.07*1)
A=150*1.07
A=$160.5
The withdrawal = 160.5-150= $10.5
Hence the withdrawal will be $10.5
i really need help please
Answer:
25
Step-by-step explanation:
If a/b=b/c,then what is b²?
Given:
The equation is
[tex]\dfrac{a}{b}=\dfrac{b}{c}[/tex]
To find:
The value of [tex]b^2[/tex].
Solution:
We have,
[tex]\dfrac{a}{b}=\dfrac{b}{c}[/tex]
On cross multiplication, we get
[tex]a\times c=b\times b[/tex]
[tex]ac=b^2[/tex]
[tex]b^2=ac[/tex]
Therefore, the value of [tex]b^2[/tex] is [tex]ac[/tex].
Which polygon appears to be regular?
- Figure A
- Figure B
- Figure C
- Figure D
Answer:
D
Step-by-step explanation:
Hope this helps! h.a.n.d! (have a nice day.)
Pleas Help Due Tomorrow
must SHOW WORK
Answer:
42 degrees
Step-by-step explanation:
180-138 = 42
angles 1, 2, and 5 are all 139 degrees
angles 7, 3, 4, and 6 are 42 degrees
Answer:
42°
Step-by-step explanation:
in the attached image. hope this helps!
Which is the approximate area of a circular clock with a diameter of 10 inches?
Answer:
~79 in²
Step-by-step explanation:
r = [tex]\frac{d}{2}[/tex]
A = πr²
A = π(5)²
A = π * 25
A ≅ 78.54 in²
2. A bicycle trail is 65 miles long. Rashid
has already ridden 30 miles. How
many more miles does he need to
ride to reach the end of the trail?
Answer:
35 more miles
If you know this could you help me?
Answer:
Equation : y = -0.5x − 8
Step-by-step explanation:
because i grabbed two points and plugged them in im not very good at explaining but im 99% sure thats right
please help! im vv bad at math
Answer:
Your answer is 36
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