What are the coefficients for the binomial expansion of (a + b)^3?

Answers

Answer 1

Answer:

coefficient of 1st, 2nd, 3rd and 4th term are 1, 3,3,1 respectively. (required coefficient)

Step-by-step explanation:


Related Questions

Hi I need help can u help me

Answers

Answer:

Pauls answer is not proportional

Step-by-step explanation:

You cannot make more money in an hour than you do in a day.

Hope it helps c:

2. A pack of 7 rolls of tape sells for $2.73. If the tape is sold individually at the
same rate, how much would 3 rolls cost?
$1.56
$1.17
$0.78
$0.39

Answers

I’m pretty sure the answer would be 0.78 I remember doing this

3 rolls would cost $1.17.

What is Concept of Direct Proportion?

There exists a direct proportion between two values when one exists as a multiple of the other.

In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.

If 7 rolls of tape cost $2.73,

Then 1 roll of tape would cost $2.73/7 = $0.39

Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17

Therefore, at same rate the 3 rolls of tape would cost $1.17.

To learn more about Direct Proportion refer to:

https://brainly.com/question/1266676

#SPJ2

Tony calculates that 3 cubic metres of concrete is enough for the path.

He decides to use a concrete mix which has:

cement = 1 part
sand = 2 parts
gravel = 3 parts

How many cubic metres of gravel does Tony need?

Answers

Answer:

Amount cubic metres of gravel need = 1.5 cubic meter

Step-by-step explanation:

Given:

Parts

cement = 1 part

sand = 2 parts

gravel = 3 parts

Find:

Amount cubic metres of gravel need

Computation:

Amount cubic metres of gravel need = 3[Part of gravel / Total of all parts]

Amount cubic metres of gravel need = 3[3 / (1+2+3)]

Amount cubic metres of gravel need = 3[3 / 6]

Amount cubic metres of gravel need = 3[0.5]

Amount cubic metres of gravel need = 1.5 cubic meter

Please help out with this question ty

Answers

Answer:

x-3

Step-by-step explanation:

y = x+3

Exchange x and y

x = y+3

Solve for y

x-3 = y+3-3

x-3 = y

The inverse is x-3

The answer is: h(x) = x-3

The mean age of 5 people in a room is 40 years. A person enters the room. The mean age is now 39. What is the age of the person who entered the room?

Answers

Answer:

10 years old :)

Lengths of Rectangles
ABCD is a rectangle.
А
Use the diagram to answer the questions
The length of AB is
The length of BC is
The length of AC is
B.
VX
5
D
12
Done

Answers

Answer:

AB = 5

BC = 12

AC = 13

Step-by-step explanation:

A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:

AB = CD = 12

AB = 12

BC = AD = 5

BC = 5

AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:

AC² = AD² + CD²

Plug in the values

AC² = 5² + 12²

AC² = 169

AC = √169

AC = 13

Answer:

Step-by-step explanation:

E2020

i need help with this!!

Answers

Answer:

where the problems to answer for it

where’s the question??

What is the value of a?
W
b
O 5 units
4
a
с
oss units
O 6 units
3
z
O 7 units

Answers

Answer:

the second option : 5 1/3

Step-by-step explanation:

the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a

h = 4

the formula is h = sqrt(a×b)

with a and b being the baseline segments.

so,

4 = sqrt(3×a)

16 = 3×a

a = 16/3 = 5 1/3

Please help explanation if possible

Answers

Answer:

x-intercept (3 ,0)

y-intercept ( 0, –4)

Step-by-step explanation:

12x-9y=36 —> 12x-9(0)=36 —> 12x=36

x=36/12 —> x=3 —> So (x,y)=(3,0)

12(0)-9y=36 —> -9y=36 —> y=36/-9

y= –4 —> So (x,y) =(0,–4)

I hope I helped you ^_^

Each cube in this figure is a -centimeter unit cube. How many cubes are in the prism? [Type your answer as a number.]




how many
cubes

Answers

Answer:

72 cubes

Step-by-step explanation:

One face of the cube has 12 cubes. A cube has 6 faces, 12 × 6 = 72. (12 cubes × 6 faces = 72 cubes)

What is the value of x in the figure below? In this diagram, ABD ~ CAD. Could somebody help me please? I don't entirely grasp the concept of this.

Answers

Answer:

E.  [tex]\sqrt{39}[/tex]

Step-by-step explanation:

To find the value of x we can use Euclidian theorem

x^2 = 13x3

x^2 = 39 find the root of both sides

x = [tex]\sqrt{39}[/tex]

Draw 2 line segments, each 4 cm in length, intersecting at their midpoints. Connect each endpoint to each adjacent endpoint to form a quadrilateral. What is the maximum number of square centimeters possible in the area of the quadrilateral?

Answers

Answer:

8

Step-by-step explanation:

The maximum area will be a square. Everything else will have a height less than one of the sides of the square.

Use Pythagoras to find the length of the side of the square.

s^2 = 2^2 + 2^2

s^2 = 8

s = 2sqrt(2)

s^2 = 8

the square will have 8 cm^2

Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the cost of a bottle of water?
$0.25
$0.37
$0.45
$0.55 Which is it ?

Answers

Answer:

1.98*1/8=0.2475

0.2475=0.25


The following are the temperatures in °C for the first 10 days in January:
1.4, -8.1, -8.2, -5.2, -3.4, -2.3, 8.3 ,-7.1 ,1.3 ,3.6
Calculate the range.

Answers

The highest temperature is 8.3, in which we call the max.

The lowest temperature is -8.2, which is the min.

Subtract those values to get the range.

Range = max - min = 8.3 - (-8.2) = 8.3 + 8.2 = 16.5

Answer:  16.5 degrees Celsius

m 2 = aº, m 3 = bº, m 41
a
b
a + b
a-b

Answers

Answer:

m,4+ a+b

Step-by-step explanation:

an exterior angle equals the sum of the 2 opposite interior angles

Which graph shows exponential growth?

On a coordinate plane, a parabola opens up with vertex at (0, 0).
On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up into quadrant 1.
On a coordinate plane, a straight line with positive slope crosses the y-axis at (negative 1, 0) and crosses the y-axis at (2, 0).
On a coordinate plane a curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at (1, 0).

Answers

Answer 2,0

Explain negative and a positive 4/1

Answer:

its C, the u looking graph

Step-by-step explanation:

Instructions: Find the missing side. Round your answer to the nearest
tenth.
58°
х
22
X=

Answers

Answer:

35.2

Step-by-step explanation:

tan(58) = x/22

or, x = 22×tan(58)

or, x = 35.2 (rounded to the nearest tenth)

Answered by GAUTHMATH

Rewrite the expression in the form a^n. (a^2/3)^-1

Answers

Answer:

a^(-2/3)

Step-by-step explanation:

(a^2/3)^-1

We know x^y^z = x^(y*z)

a^(2/3*-1)

a^(-2/3)

Grade improvement and study motivation

Answers

Step-by-step explanation:

fng-mrxb-dop p.l.e.a.s.e join

Find the measure of one interior angle for the following regular polygon

Answers

Answer:

Step-by-step explanation:

I am assuming that by "interior" angle you do not mean the central angle.

This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.

Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:

180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.

Simplify 7x - (3x+2)
Pleaseeeee

Answers

Hi there!

[tex]\large\boxed{4x - 2}[/tex]

7x - (3x + 2)

Simplify by distributing the negative sign:

7x - (3x) - (2)

Combine like terms:

4x - 2

Answer:

2(2x - 1)

Step-by-step explanation:

opening the parenthesis and distributing the - sign to both 3x and 2

= 7x - 3x - 2

= 4x - 2

taking 2 common

= 2 (2x - 1)

What is the volume of this triangular pyramid?

Answers

Answer: 540 ft³

Step-by-step explanation:

The volume of pyramids is [tex]\frac{1}{3} Bh[/tex], where:

B = area of base = [tex]\frac{15*18}{2} =\frac{270}{2} =135ft[/tex] h = height = 12ft

Therefore, the volume = [tex]\frac{1}{3} (135)(12)=\frac{1}{3}(1620)=\frac{1620}{3} =540[/tex]

pls pls pls help and give the actual answer quickly

Answers

Answer:

(Sqrt 3)/2 (5^2) (10) =216.51 in^3

Step-by-step explanation:

what times itself is 2.82843

Answers

Answer: 1.68179368533

Step-by-step explanation:

do the square root so 1.68179368533 x 1.68179368533 = 2.82843

Answer:

1.68179368533

Step-by-step explanation:

1.68179368533 is the square root of 2.82843

What types of concurrent constructions are needed to find the orthocenter of a triangle?

A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side
C. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
D. intersection of the lines drawn to bisect each vertex of the triangle

Answers

Answer:

B. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side

Step-by-step explanation:

The orthocenter of a triangle is the point of concurrency of the three altitudes or extensions of the the altitudes of a triangle, each of which are perpendicular lines drawn from a vertex of the triangle to the side opposite the vertex

The type of concurrent construction needed to find the orthocenter of a triangle is the point of intersection of the perpendicular lines drawn from each vertex of the triangle, to the side opposite the vertex

Therefore, the correct option is option B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side.

I need help asap I’m overtime

Answers

Answer:

gdhduu e7urururuuru ryruurhtjtjjr rgrhrhuru3jriir ruruurhrbrb rurrurhr ururururuu44 yryryuruurjbrbr urhruurhhrhrhr hrhrhrhhrhrurhrh ryyru

David’s mother gave him $200.00 to buy some carrots at the Blue Market. She will be using the carrots to make juice for her church barbecue on Friday. At the market, David finds two vendors selling carrots. Vendor A has carrots for $40.00 per kilogram, and Vendor B has larger carrots for $50.00 per kilogram. Question: A. From which vendor should David buy the carrots? B. Explain why you have chosen that vendor

Answers

Answer:

Assuming that the quality (large vs. small) is the same, and PRICE is the main considerations... The $40 would be a better deal....

This reminds me of the old classic joke (told to me way back when , when I was 5 years old)... Which weighs more a ton of bricks, or a ton of feathers.....

I have to be honest being a five tear old the answer confused me, but I finally

figured it out... THEY BOTH WEIGH THE SAME AMOUNT !!!

Step-by-step explanation:

Mk

From which vendor should David buy the carrot

△STR≅△LMN, SR=7b+8, and LN=11b−12. Find b and SR.

Answers

Given:

[tex]\Delta STR\cong \Delta LMN[/tex]

[tex]SR=7b+8[/tex]

[tex]LN=11b-12[/tex]

To find:

The value of b and SR.

Solution:

We have,

[tex]\Delta STR\cong \Delta LMN[/tex]                          (Given)

[tex]ST\cong LN[/tex]                                  (CPCTC)

[tex]ST=LN[/tex]

Substituting the given values, we get

[tex]7b+8=11b-12[/tex]

[tex]7b-11b=-8-12[/tex]

[tex]-4b=-20[/tex]

Divide both sides by -4.

[tex]\dfrac{-4b}{-4}=\dfrac{-20}{-4}[/tex]

[tex]b=5[/tex]

Now,

[tex]SR=7b+8[/tex]

[tex]SR=7(5)+8[/tex]

[tex]SR=35+8[/tex]

[tex]SR=43[/tex]

Therefore, the value of b is 5 and the measure of SR is 43 units.

Please help (geometry)

Answers

Now,

<2 = <3 [ vertically opposite angle]

Then,

<2 = <8 [corresponding angles]

Again,

<2 + <5 = 180° [straight angle]

True A || B

I hope you understand...

Mark me as brainliest...

Answer:

True

Step-by-step explanation:

∠ 2 and ∠ 5 are same- side exterior angles and are supplementary, sum to 180°

the number 55 is attached to a two-digit number to its left and the formed 4-digit number is divisible by 24. What could be the two digit number? List all options.

Answers

Answer:

98, 68, 44, 20

Step-by-step explanation:

we can write the other two-digit number as:

a*10 + b

Where both a and b are single-digit numbers.

When we "attach" this at the right of 55, the number that we get is:

5500 + a*10 + b

And this number is divisible by 24 if it is divisible by 3 and 8.

A number is divisible by 8 if the sum of its digits is divisible by 3, then we must have:

5 + 5 + a + b = multiple of 3 = n*3

A number is divisible by 8 if the last 3 digits are divisible by 8, then:

500 + b*10 + a = multiple of 8 = m*8

First we can use the second relation to find the value of b:

500 + b*10 + a = m*8

so we need to find a multiple of 8 that is in the range (500, 599)

for example, if we use:

8*65 = 520

Then we have:

b = 2

a = 0

5504, 5512, 5520, 5528, 5536, 5544, 5552, 5560, 5568, 5576, 5584, 5582, 5590, 5598.

Now we just need to see if these are divisible by 4.

5504:

5 + 5 + 0 + 4 = 14

not divisible by 3.

5512:

5 + 5+ 1 + 2 = 13

not divisible by 13

5520:

5 + 5 + 2+ 0 = 12

divisible by 3, then 20 is a option.

5528:

5 + 5 + 2 + 8 = 20

not divisible by 3

5536:

5 + 5 + 3 + 6 = 19

not divisible by 3

5544:

5 + 5 + 4 + 4 = 18

is divisible by 3, then 44 is a option.

5552:

5 + 5 + 5+ 2 = 17

not divisible by 3

5560:

5 + 5 + 6 + 0 = 16

not divisible by 3

5568:

5 + 5 + 6 +8 = 24

divisible by 3, then 68 is an option

5576:

5 +5 + 7 + 6 = 23

not divisible by 3

5582:

5 +5 + 8 + 2 = 20

not divisible by 3

5590:

5 +5 +9 + 0 = 19

not divisible by 3

5598:

5 + 5 + 9 + 8 = 27

is divisible by 3, thus 98 is an option.

Then the possible options are:

98, 68, 44, 20

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