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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Mike needs to pack school supplies for the summer. He stacks two boxes on the table to start packing. What is the total volume of the boxes?
A. 48 inches3
B. 72 inches3
C. 120 inches3
D. 168 inches3
Answer:
120 inches
Step-by-step explanation:
the first box on the bottom is 72 because 12 x 2 x 3 is 72 and the bottom on is 48 because 2 x 4 x 6 is 48. then add 72 plus 48 and it gives you 120 inches.
A door is fixed at the point O. Ben opened it by an angle of 30°. The area swept by the door was {25}{12}\pi\
Answer:
5 units
Step-by-step explanation:
Area swept by the floor will be the area ofd a sector
Area of a sector = theta/2π * πr²
We are to find the radius r
Given
Area= 25π/12
theta = 30° = π/6
Substitute
25π/12 = 30/360 * πr²
25π/12 = 1/12 * πr²
25/12 = r²/12
r² = 25
r = √25
r = 5
Hence the radius od the part swept by the door is 5 units
A circular bracelet has a radius of 3 centimeters. What is the bracelet's circumference?
Answer:
C≈18.85cm
Step-by-step explanation:
C=2πr=2·π·3≈18.84956cm
NO links or report
Find the area of the figure
Area ___ units^2
Answer:
25 units^2
Step-by-step explanation:
if ax+bx=a^2-b^2 then what is the value of x
Answer:
Factorise both sides of
ax+bx=a2−b2
and get
(a+b)x=(a+b)(a−b).
If
a+b≠0,
because division by 0 is not allowed, then divide by a + b and get
(a+b)xa+b=(a+b)(a−b)a+b.
It reduces to
x=a−b.
If a+b=0, then
ax+bx=a2−b2 is
(a+b)x=(a+b)(a−b)
and this simplifies to
0x=0(a−b),
that is,
0=0,
so that the value of x is indeterminate.
answer for brainlest and 15 points
Answer:
It is not rational
Step-by-step explanation:
This problem please
surface areas:
1. 94 ft
2. 96 cm
volumes:
1. 60 ft
2. 42 cm
what are sides 'a' and 'b' called in a right triangle
Answer:
The relation between the sides and angles of a right triangle is the basis for trigonometry.
Step-by-step explanation:
The side opposite the right angle is called the hypotenuse (side c in the figure). The sides adjacent to the right angle are called legs (sides a and b ).
Answer:
The legs
Step-by-step explanation:
In a right triangle, sides a and b are called "the legs." These are the sides that create the right angle. Side c is called the hypotenuse and it is the longest side of a right triangle. Side c is opposite of the right angle.
I hope this helps!
Match the resulting values to the corresponding limits.
Answer: I only got 3 of them
Lim (x->9) = - 1/52
Lim (x->6) =1/98
Lim(x->7) =-31
Step-by-step explanation:
Answer:
This was the correct answer on Edmentum.
Step-by-step explanation:
50 points Please please help find height and volume of pyramid!!!
Answer:
A=1/3Bh
Step-by-step explanation:
the volume is 1/3 area of the base times height, since you didn't give me any thing to work with, thats the formula, and you can find the height of the pyrimid using pothagrean theorem
Help pls and no links
Answer:
y > 4x - 2
Step-by-step explanation:
The basic format of a line in slope-intercept form is,
[tex]y=mx+b[/tex]
This format undergoes no change when one implements it for the use of a two-variable inequality.
The parameter (m) represents the slope of a line, this can be found by using the formula ([tex]\frac{rise}{run}[/tex]). Traditionally, one would use a formula to find the slope of a line that is the following, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).
The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).
Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.
Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.
what is 8 1/3x6 3/4=
Answer:
I think it is 56.25 not sure but try it
Answer:
56.25 or 56[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{25}{3}[/tex] × [tex]\frac{27}{4}[/tex]
Applying the fractions formula for multiplication,
[tex]\frac{25}{3}[/tex] × [tex]\frac{27}{4}[/tex]
[tex]\frac{675}{12}[/tex]
Simplifying 675/12, the answer is
56[tex]\frac{1}{4}[/tex]
70/5.2 + 16-1 helppppp
Answer:
28.4615384615
28.46
Step-by-step explanation:
Answer:
28.46, if this help please subscribe to amiredagoat Yt i wanna change the world.
Step-by-step explanation:
The average growth of human hair is 0.5 inch
per month. Find how long it takes a human to
grow 3 inches of hair.
Equation:
Solution:
(5y+4)+(−2y+6)= find the sum
Answer:
-32
Step-by-step explanation:
Which of the following describes the graph of y=3sqrt27x-54+5
Answer:
y = 3 √ 27 x − 54 + 5
Step-by-step explanation:
what r the answer choices?
and does this help?
Horizontal translation - 2 units right.
Vertical translation - 5 units up
Stretch / compression - stretched by a factor of 3.
Reflection - not reflected.
what's the volume of a figure with that is 10 inches wide, 3 inches tall, and 5 inches long
Answer:
10 x 3 x 5 = a
helpppppppppppppppppppppppp
Answer:
A
[tex]hope \:this \: helps[/tex]
which quadrant contains the point named by (4, -8) sorry i’m rly bad at this!!, 20 pts!
Answer:
Quadrant 4
Step-by-step explanation:
Hi! Okay, let's get started.
This, would be Quadrant 4, with the x axis positive, and y one negative.
Hope that helps! :)
-Aphrodite
Está situado no quarto quadrante
A wind turbine has three equally spaced blades that are each 131 feet long. What is the measure of the arc between any two blades?
Answer:
274.23 feet
Step-by-step explanation:
From the question,
The measure of the arc between any two blades (s) = 2πrΦ/360
s = 2πrΦ/360................... Equation 1
Where Ф = angle formed betwen two blades, r = length of each blade.
Given: Ф = 360/3 (the three blades are equally spaced) = 120°, r = 131 feet.
Constant: π = 3.14
Substitute these values into equation 1
s = (2×3.14×131×120)/360
s = 274.23 feet.
Hence, the measure of the arc between any two blades is given = 274.23 feet
Please please help me
Answer:
b) 43 degrees
Step-by-step explanation:
Answer:
Choice B
Step-by-step explanation:
The bottom right angle is 80° since thats the value of its complement
Subtract 180-123 to get the complement of the bottom left and the value of the bottom left, 57°
Since all the interior angles in a triangle will add up to 180° add 57 and 80 to get 137 then subtract 137 to get the value of x, 43.
HELP ME PLEASEEEEEE!!!!!!!!!!!!
Can anyone help me?
Answer:
Step-by-step explanation:
y= -833.3+42,000
29,500
Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle for 12,13,14,16
Answer:
12=obtuse
13=right
14=not a triangle
16=acute
Step-by-step explanation:
Kevin has $50 and wants to buy some art paper and paints. One pack of art paper cost $12 and the paints cost $6 per tube. He buys 2 packs of paper. Which inequality should Kevin solve to find the maximum number, n of tubes of paint that he can buy
Answer:
26 ≤ 6
Step-by-step explanation:
$50 is the budget
Art paper = $12
Paints = $6
He gets 2 packs of paper making it $24
$50 - $24 = $26
26 divided by 6 = 4.33333 (he can only get 4)
For some reason this was a little confusing for me so let me know if I helped at all.
Help please due in a few minutes will give brainliest for correct answer
Answer:
Hi love
1. is D
2. is B
Hope this helps
If the simple interest on $1,000 for 8 years is $ 480 then what is the interest rate?
Answer:
6%
Step-by-step explanation:
Given data
Principal = $1,000
Time= 8 years
Simple interest= $480
The expression for the simple interest is
Simple interest= PRT/100
Substitute
480= 1000*R*8/100
Cross multiply
480= 8000R/100
480*100= 8000R
48000= 8000R
Divide both sides by 8000
R= 48000/8000
R=6%
jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?.
Answer:
38 miles
Step-by-step explanation:
456 ÷ 12 = 38
give me brainllest
Ross drives 305 miles in 5 hours. If Ross continues to drive at the sqme rate, how many miles can he drive in 15 hours?
Answer:
915 miles
Step-by-step explanation:
15 divided by 5 is 3
305 times 3
Answer:
915 miles
Step-by-step explanation:
If ross drifves 305 miles in 5 hours, then he would drive 915 miles because 5 hours multiplied by 3 is 15 hours and 305 multibplied by 3 is 915
How many 1/5s are in 1?
Answer:
5
Step-by-step explanation:
1 ÷ 1/5= 1 x 5/1 =5
I hope im right!!