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Find the unique integer n such that all these conditions hold:
(a) 0 < n < 200
(b) n is 1 more than a multiple of 2
(c) n is 3 more than a multiple of 7
(d) n is 10 more than a multiple of 13

Answer:

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Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

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Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

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Hope this will help you....

Step-by-step explanation:

Answer:

8 birds

Step-by-step explanation:

Birds to snakes is 2:3. So, then it would be 4:6, 6:9, 8:12 if you use a table.

Answer:

U need to slove the same way as shown above just change the number and solve if still u find any difficulty. then u can follow me I will surely help u out

All The Best

Answer:

Yes, the sides are in the ration 2:5!

Step-by-step explanation:

Hope this helps.

Answer:

  The correct answer is B. Yes, the sides are in the ratio 2:5.

Step-by-step explanation:

Hope this helps, and have a wonderful day! :)

Answer:

If Y represents the number of green balls then it can have values from 0- 5

that is it can have all the value  0,1,2,3,4 and 5.

The probability of getting both balss green without replacement is 0.27778

Step-by-step explanation:

If the balls are not replaced then this is the dependent event .

The probability of getting the first ball is given be = 5/9

where 5 is the number of green balls and 9 is the total number of balls.

The probability of getting the second ball green given that first is also green is  = 5/9* 4/8= 20/72= 0.2778

If Y represents the number of green balls then it can have values from 0- 5

that is it can have all the value  0,1,2,3,4 and 5.

0 means there can be no green balls or white balls.

1 means there can be one green ball.

2 means there can be 2 green balls and so on.

In this exercise we have to use the knowledge of probability to calculate the chance of an event to occur, so you have to:

the chance of the event is 0.2778%

So organizing the information given in the statement is:

So with this information we can write that:

[tex]5/9* 4/8= 20/72= 0.2778[/tex]

See more about probability at brainly.com/question/795909

Answer:

umm x=30

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

All angles in a triangle add up to 180 degree.

180-(6x-7) = the supplementary angle inside the upper left corner.

180-(6x-7)+2x+(103-x) = 180

180-6x+7+2x+103-x = 180

reduce

-5x = -110

-5x/-5 = -110/-5

x=22

you can check by using the values of x

Answer:

Step-by-step explanation:

1. P = (width + lengh) * 2 = (23 + 10) * 2 = 33 * 2 = 66

  A = width * lengh = 23 * 10 = 230

2. width = 7

 P = (width + lengh) * 2 = ( 7 + 9) * 2 = 16 * 2 = 32

Answer:

4. area= 230cm^2 perimeter= 66cm

5. width= 7m  perimeter= 32m

Step-by-step explanation:

4. a = w*l

23cm*10cm=230cm^2

p= add all sides

23cm+23cm+10cm+10cm=66cm

5. w= a/l

63m^2/9m=7m

p= add all sides

7m+7m+9m+9m=32m

Answer:

x= -18

Step-by-step explanation:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

Answer:

#6:10

Step-by-step explanation:

Answer:

#9 is x=14

#7 is C 138

#6 is x=10

#5 is p=40

Given:

The height of a right cone = 14 in

Base diameter = 17 in

To find:

The diagram of the cone and its lateral surface area.

Solution:

(a)

The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.

Diagram is not to scale.

(b)

We know that lateral surface of the cone is

[tex]A=\pi rl[/tex]

[tex]A=\pi r\sqrt{r^2+h^2}[/tex]              ...(i)

Where, r is the base radius, h is vertical height and l is the slant height of the cone.

Base radius of the cone = [tex]\dfrac{\text{Base diameter}}{2}[/tex]

[tex]r=\dfrac{17}{2}[/tex]

[tex]r=8.5[/tex]

Now,

Putting r=8.5, h=14 and π=3.14 in (i), we get

[tex]A=(3.14)(8.5)\sqrt{(8.5)^2+(14)^2}[/tex]

[tex]A=26.69\sqrt{72.25+196}[/tex]

[tex]A=26.69\sqrt{268.25}[/tex]

[tex]A=437.1379[/tex]

[tex]A\approx 437[/tex]

Therefore, the lateral surface area of the cone is 437 sq. inches.

Answer:

2.2. Hope it helps :D

164

Step-by-step explanation:

The solution is,  a coat cost on sale =  $164.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

At a sale, coats were sold for 82% of their original price.

If the coats originally cost $200 each,

so, a coat cost on sale = $200* 82%

                                     =$164

Hence, The solution is,  a coat cost on sale =  $164.

To learn more on percentage click:

brainly.com/question/13450942

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Answer:

40 minutes

Step-by-step explanation:

 Math Problems                   3              15

 ----------------------                  -----     =    ------

       Minutes                          8              x

                                             3x = 15 * 8

                                               x = 15 * 8 / 3

                                               x = 120 / 3

                                               x = 40

                                                  40 Minutes

Answer:

dilation.

Step-by-step explanation:

Answer:

dilation

Step-by-step explanation:

Answer:

Corresponding

Co-interior

None

Alternate exterior

Alternate interior

Corresponding

Answer:

height of cylinder =3m

circumference =22m

curved surface area=2×pi×radius×height

curved surface area =22m×3m

curved surface area =66m²

Answer:

Your answer

Price after reducing is 4.35$

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

Volume of cube is s^3

Volume of a rectangular prism is BH, OR LWH

Since the base is a SQUARE, and it has a side length of 6 cm, the other side length is also 6 cm. 6 x 6 x 10 = 360 cm cubed.

Answer:

8 and 1/4 cups sugar is your answer. In 5 and 1/3 cups is 8 and 1/4 cups sugar.

Step-by-step explanation:

Brainly please hope this is correct please tell me if I wrong.

Answer:

Step-by-step explanation:

PRT = I

R = I/PT

R = 99/(1200)(.75)

R = 99/900

R = 11%

Hi,

So the answer is 11%

(5×100)+(6×110)+(7×1100)=500+660+7700=8860

Answer:

6n=0

n=0/6

n=0

hope it helps.

Answer:

n=0

Step-by-step explanation:

6n  is the same of 6×n

∴ 6×0 = 0

Answer:

100

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-4-(-4)/-12-(-6)

0/-6

Since the numerator is 0, the slope is 0.

Best of Luck!

47. my answer needs to be at least 20 characters long there u go

Answer:

49

Step-by-step explanation:

77+49 = 124

Answer:

24

Step-by-step explanation:

The first term of any sequence is the term of the sequence that comes first.

Given the sequence of numbers 24, 12, 6, 3...

We can see that the number that comes first is 24. Hence the first term of the given sequence will be 24

B, the correct answer is B