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Sati [7]
3 years ago
10

What is (2+y)³ written out? 8 + 12y + 6y² + y³ 6 + 8y + 4y² + y³

Mathematics
2 answers:
AveGali [126]3 years ago
7 0
\boxed{(2+y)^3-cube\ the\ sum\ of\ the\ numbers\ 2\ and\ y}

Use:\ (a+b)^3=(a+b)(a+b)(a+b)=a^3+3a^2b+3ab^2+b^3\\----------------------------\\(2+y)^3=2^3+3\cdot2^2\cdot y+3\cdot2\cdot y^2+y^3=8+3\cdot4y+6y^2+y^3\\\\=8+12y+6y^2+y^3\\========================================

8+12y+6y^2+6y^3+8y+4y^2+y^3\\=8+(12y+8y)+(6y^2+4y^2)+(6y^3+y^3)\\=8+20y+10y^2+7y^3



geniusboy [140]3 years ago
6 0
(2+y)3

=(2+y)*(2+y)*(2+y)

=(2+y)(y2+4y+4)

=(2)(y^2)+(2)(4y)+(2)(4)+(y)(y^2)+(y)(4y)+(y)(4)

=2y^2+8y+8+y^3+4y^2+4y

=y^3+6y^2+12y+8

-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-

8 + 12y + 6y² + y³ 6 + 8y + 4y² + y³

Combine Like Terms:

=8+12y+6y^2+6y^3+8y+4y^2+y3

=(6y^3+y^3)+(6y^2+4y^2)+(12y+8y)+(8)

=7y^3+10y^2+20y+8



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Line segment CD begins at (−1,1) and ends at (4,1). The segment is translated 2 units down to form line segment C'D'. Line segme
dusya [7]

Answer:

  D' = (4, -1)

Step-by-step explanation:

Translation down by 2 units subtracts 2 from the y-coordinate. The x-coordinate remains unchanged. You can see this in the descriptions of C and C':

  • C = (-1, 1)
  • C' = (-1, -1) . . . . . 2 is subtracted from y=1 to get y=-1

Likewise:

  • D = (4, 1)
  • D' = (4, -1)

__

The translated segment is still a horizontal segment, now at y=-1 instead of at its previous position of y=1.

6 0
4 years ago
if a gas has a volume of 1 L at a pressure of 270 kPa, what volume will it have when the pressure is increased to 540 kPa? Assum
lord [1]
The answer would be: 0.5L

This question can be solved using the ideal gas formula PV=nRT where
P= pressure
V= volume
n= number of molecule
R= constant
T= temperature


In this question, the temperature and number of the particle are not changed. The pressure is changed to twice amount. Since the pressure is inversely related to the volume, the volume should become half of the original.
PV=nRT 
V=nRT/P
V1/V2= (nRT/P1)/(nRT/P2)
V1/V2= (1/270)/(1/540)
V1/V2= (1/1)/(1/2)
V1/V2 = 2
V1= 2V2
1L= 2V2
V2= 1/2 L
8 0
3 years ago
Ms. Baron earns $20 for walking 4 dogs. How much would she earn for each dog?
8_murik_8 [283]

Answer:

$5

Step-by-step explanation:

20 / 4 = $5

I hope this helped, please mark Brainliest, thank you !!

3 0
3 years ago
Read 2 more answers
On a multiple choice test with 17 questions, each question has four possible answers, one of which is correct. For students who
Ira Lisetskai [31]
<h2>The required "option c) 4.3" is correct.</h2>

Step-by-step explanation:

Given,

Total number of multiple choice questions = 17

To find, the mean for the number of correct answers = ?

Each question has four possible answers.

If guessing at random:

There is only one in four chances.

\dfrac{1}{4}\times 100 =  25 % chance of getting a particular question right.

This is the same probability for each of the 17 questions.

If there is a 25 % chance of getting any given question right.

There are 17 questions.

∴ The total number of questions you will expect to get right =

25 %  × 17

= \dfrac{25}{100} \times 17

= \dfrac{17}{4}

= 4.25

≈ 4.3

∴ The mean for the number of correct answers = 4.3

Thus, the required "option c) 4.3" is correct.

3 0
4 years ago
Find the circumference of a circle that has a diameter of 50 mm. *
Black_prince [1.1K]

Answer:

<h3>The answer is 157.08 mm</h3>

Step-by-step explanation:

Circumference of a circle = πd

where

d is the diameter of the circle

From the question

d = 50 mm

The circumference of the circle is

C = 50π

= 157.07963267949…

We have the final answer as

<h3>157.08 mm</h3>

Hope this helps you

6 0
3 years ago
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