Answer:
Step-by-step explanation:
i am assuming this is (n+3)^6 if so
729+1458x+1215x^2+540x^3+135x^4+18x^5+x^6
the fifth term is 135x^4
The fifth term of the expression (n + 3)⁶ is 1,215n².
What is binomial theorem?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem.
The given expression is,
(n + 3)⁶.
To find the fifth term in the expression,
Use binomial expansion method,
[tex](x+y)^n = ^{n}C_0 x^nny^0 + ^nC_1 x^{n-1}y^1 + ^nC_2 x^{n-2} y^2 + ...[/tex]
Use the binomial formula for expression (n + 3)⁶,
[tex](n+3)^6 = ^6C_0n^63^0 + ^6C_1n^53^1 + ^6C_2n^43^2 +^6C_3n^33^3 + ^6C_4n^23^4 + ^6C_5n^13^5 + ^6C_6n^03^6[/tex]
The fifth term of the expression is [tex]^6C_4n^23^4[/tex].
The term [tex]^6C_4n^23^4[/tex] can be simplified as,
[tex]^6C_4n^23^4[/tex] = 15 x n² x 81 = 1215n².
The fifth term of the expression (n + 3)⁶ is 1,215n².
To know more about Binomial theorem on:
https://brainly.com/question/27813780
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help appreciated xx
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Answer:
13pts
Step-by-step explanation:
If you're asking how many pints 6 qt and 1 or is then I believe it is 13 pt
2)
The scale on a map is 1 : 20 000. What actual distance does a length of 8 cm on the
map represent?
Answer:
1.6 km
Step-by-step explanation:
8 x 20 000 = 160 000 cm = 1.6 km
Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!
Answer:
x ≤ 1/3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
distribute the 5, combine the x, add 10 to -8 to get 2 and finally 6x < 2Can someone please help me
Answer:
11^2*pi= 121pi
Step-by-step explanation:
Mhanifa please help i will mark brainliest :)
Answer:
YesStep-by-step explanation:
Given triangles:
ΔTUV and ΔXYZVerify the ratio of corresponding sides:
TU/XY = 15/35 = 3/7UV/YZ = 21/49 = 3/7TV/XZ = 18/42 = 3/7Since the ratios are same, the triangles are similar
PLZ HELP
How many solutions does the equation 6p − 4p − 8 = −4 + 3 have? (5 points)
a
One
b
Two
c
None
d
Infinitely many
Answer:
D.infinitely many
try it you'll see
Joey is trying to determine the average weight of a frog found at his high school's pond. The Algebra II class randomly selects 50 frogs from the pond and weighs them. Their results are shown. What is the likelihood that a frog's weight was between 5.2 and 5.4 ounces, inclusive?
Answer:
0.06
Step-by-step explanation
HELP PLS WILLMARK BRAINLIST
Dianna buys a pair of jeans at Hollister. The jeans cost $50. The store is having a 25% off sale on everything in the store. Enter the amount of money, in dollars, Dianna saves from the sale. Do not consider the sales tax. *
1. A coin is tossed once, what is the probability of getting a head
Answer:
The answer is...1/2
Step-by-step explanation:
1- head
1-tail
To get head-1/2
Answer:
the answer is 1/2
Step-by-step explanation:
you have 2 sides each side a 50% chance
given the function w(t) = 15t - 1, w(-1/3)=?
Answer:
-6
Step-by-step explanation:
Plug in -1/3for t
W(-1/3)=15(-1/3)-1=-5-1=-6
Answer:
-6
Step-by-step explanation:
substitute -1/3 into w(t) = 15t - 1
=> w(-1/3) = 15(-1/3) - 1
=> w(-1/3) = -6
How do you solve this proof?
Answer:
1) Given
2) Isosceles triangle's 2 sides are equal. Vertex angle is M. So, ML = MN
3) Given
4) T divided LN into to equal parts.
5) Common
6) SSS
A jacket used to cost $54. After a 40% discount, what is the new cost of the jacket?
Im pretty sure its $32.4
Step-by-step explanation:
exponential function b^y=x can be expressed as
Answer:
[tex] {b}^{y} = x \\ x = {b}^{y} \\ log_{b}x = y[/tex]
Brainliest Which is a true statement about the solutions of the equation x/x-2 = x-3/2x
A collection of nickels and dimes is worth 25 dollars. There are twice as many nickels as dimes. How many of each are there? Use let statements and solve algebraically.
May I please get an explanation too?
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
yes
Step-by-step explanation:
yes it is a parallelogram. As we can see it has opposite parallel sides. Opposite angles are equal. If we add another diagonal, the two diagonals will bisect each other.
What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
The length of two sides of a triangle are 4 inches and 7 inches.
What is the area to that triangle?
Answer:
Hi! answer: Area = 14
Step-by-step explanation:
When finding area we do base x height ÷ by 2
So I do 7 x 4 = 28 then I divide that by 2 and get 14 Hope this helps!
You choose two different movies on a list at random. Out of 10 movies on the list, 6 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.
Answer:
5/9
Step-by-step explanation:
You have 10 movies in total. You take 1 out of 6 action movies. Now you have 5 action movies left, so that means the probability is 5/9. It's 5/9 because you chose 1 action movie out of 10 movies in total, so that means there are 9 movies in total left.
be smart and help me please i can’t fail again i will give branliest
Answer:
28%
Step-by-step explanation:
12+34+7=2856
Then, 2856/100 to get the percentage.
Please help, due soon. Find the length of each arc. Use exact answer
Answer:
C
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{285}{360}[/tex]
= 2π × 18 × [tex]\frac{19}{24}[/tex]
= 36π × [tex]\frac{19}{24}[/tex] ( cancel 36 and 24 by 12 )
= 3π × [tex]\frac{19}{2}[/tex]
= [tex]\frac{57\pi }{2}[/tex] → C
Rooms in a hotel are numbered from 1 to 19.
Rooms are allocated at random as guests arrive.
(a) What is the probability that the first guest to arrive is given a room which is a prime number?
(1 is not a prime number.)
(b) The first guest to arrive is given a room which is a prime number.
What is the probability that the second guest to arrive is given a room which is a prime number?
Answer:
a) 8/19 chance
b) 7/19 chance (I'm not 100% sure)
Step-by-step explanation:
A) since there are 8 prime numbers from 1-19 we can say that the probability is 8 over 19 or 8/19
Find all the zeroes of polynomial 2x4
– 9x3 + 5x2 + 3x – 1 ,if two of its zeroes are 2 + √3 & 2 - √3
9514 1404 393
Answer:
x ∈ {-1/2, 1, 2-√3, 2+√3}
Step-by-step explanation:
The given zeros mean that one of the quadratic factors of the given polynomial is ...
(x -2)^ -3 = x^2 -4x +1
When that is factored out (see first attachment), the remaining quadratic is ...
2x^2 -x -1
This can be factored as ...
= (2x +1)(x -1)
which has roots that make these factors zero: x = -1/2, x = 1.
So, all of the zeros of the given polynomial are ...
-1/2, 1, 2-√3, 2+√3 . . . all zeros
__
A graphing calculator can often point to the zeros of the function quite nicely.
_____
Additional comments
When p is a zero of a polynomial, (x-p) is a factor of it. The given zeros mean that factors are (x-2-√3) and (x-2+√3). The product of these factors is the difference of the squares (x-2)^2 and (√3)^2, so is (x -2)^2 -3.
Using the pattern for the square of a binomial, we see this is ...
(x-2)^2 = x^2 -2·2x +2^2 = x^2 -4x +4
The product of the given factor is then 3 subtracted from this square. The given zeros mean there is a quadratic factor of ...
(x-2-√3)(x-2+√3) = (x-2)^2 -3 = x^2 -4x +4 -3 = x^2 -4x +1
Show your work Please!
Answer:
5) 268.08cm
6)1150.35mi
7)33.51in
8)904.78yd
Step-by-step explanation:
5) V= 4/3πr^3
V=4/3π4^3
V=268.08257
6) r=1/2d
r=1/2(13)
r=6.5
V= 4/3πr^3
V= 4/3π 6.5^3
V=1150.3465
7) V= 4/3πr^3
V= 4/3π 2^3
V=33.510
8)V= 4/3πr^3
V= 4/3π 6^3
V=904.778
Find the volume of the composite figure.
16 ft
21 ft
13 ft
18 ft
the volume is
cubed ft.
the volume is 21 cubed ft.
Someone help please!!! I don't understand. (20 points)
Find the volume of a cone that has a radius of 14ft and a height of 18.9ft
Answer:
[tex]v = \pi {r}^{2} \frac{h}{3} = 14 \times 14 \times 3.14 \times \frac{18.9}{3} = 3877.272[/tex]
10k^2 - 10k + 2 = -k
Answer:
k=0 or k=9/10
Step-by-step explanation:
10k^2 - 10k- (-k) = - k- (-k)
10k^2-9k=0
k(10k-9)=0
k=0 or 10k-9=0
k=0 or k=9/10
Answer:k=(1/2,2/5)
Step-by-step explanation:
The ratio of mango ice cream to strawberry ice-cream is 1:4. Total no. of ice cream is 30. What is the no. of mango ice-cream?
Step-by-step explanation:
let the ratio of ice cream be x&4x
total number of ice cream =30
now,
x+4x=30
5x=30
x=30/5
x=6
mango ice cream=x=6
strawberry ice cream=4x=4×6=24
hope it helps.
Answer:
6 !
Step-by-step explanation:
mango = x
strwberry = 4x
total = x+4x = 5x = 30
5x= 30
x= 30/5 = 6
mango = x= 6
strwberry = 4x = 24
I hope im right!
14 = 7n
help please
Answer:
n = 2
Step-by-step explanation:
divide by 7 on both sides
Answer:
n = 2
Step-by-step explanation:
7n is the same as 7 times value = 14.
You may find the value of n by simply dividing both sides by seven, in order to isolate the variable.
^ 14/7 = 7n/7
^ (simplified) 2 = n or n =2
Therefore:
Your answer is 2 or n's value in this scenario is 2.