Let
A ={1,2,6,7,8,13,15} and B= {1,2,5,6,8,12,15, 18, 20}
Find the following:

LIST the elements in the set
A∪B :
A∪B = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

LIST the elements in the set
A∩B :
A∩B= { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

Answer:

f(x)=11+7√x

f'(x)=7/(2x^(1/2))

putting x=1

f'(1) = 7/(2×1^(1/2))

= 7/2 = 3.5

putting x=2

f'(2) = 7/(2×2^(1/2))

= 7/(2×√2)

= 7√2/4

= 2.47 (rounded to the nearest hundredth)

f'(3) = 7/(2×3^(1/2))

= 7/(2×√3)

= 7√3/6

= 2.02 (rounded to the nearest hundredth)

Answer:

Use identities:

Simplify:

Identity used:-

[tex]\boxed{\sf (a+b)^2=a^2+b^2+2ab}[/tex]

Now

[tex]\\ \sf\longmapsto (x+(3+5i))^2[/tex]

[tex]\\ \sf\longmapsto x^2+2x(3+5i)+(3+5i)^2[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+3^2+2(3)(5i)+(5i)^2[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+9+30i-25[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+30i+9-25[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+30i-16[/tex]

If sides are

[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]

[tex]\\ \sf\longmapsto Perimeter=9+4.5+12[/tex]

[tex]\\ \sf\longmapsto Perimeter=13.5+12[/tex]

[tex]\\ \sf\longmapsto Perimeter=25.5cm[/tex]

[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\purple{Perimeter\:_{(Triangle) \: \large= \large\:Sum \: of \: all \: sides}}}}}}\end{gathered}[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:9 \: cm \: + \: 4.5 \: cm \: + \: 12 \: cm[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:13.5 \: cm \: + \: 12 \: cm[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:25.5 \: cm[/tex]

Hence , the perimeter of triangle is 25.5 cm

Here, we are required to find the area of the paper board given after the semicircle is cut out of it

Area of the paper board that remains is 423 in²

Length = 29 in

Width = 20 in

Area of a rectangle = length × width

= 29 in × 20 in

= 580 in²

Area of a semi circle = πr²/2

π = 3.14

r = diameter / 2 = 20 in / 2 = 10 in

Area of a semi circle = πr²/2

= 3.14 × (10 in)² / 2

= 3.14 × 100 in² / 2

= 314 in²/2

= 157 in²

The semicircle is cut out of the rectangle

Find the area of the paper board that remains after the semicircle is cut out of it by subtracting the area of a semi circle from the area of a rectangle

Area of the paper board that remains = Area of a rectangle - Area of a semi circle

= 580 in² - 157 in²

= 423 in²

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Answer:

[tex]A)58[/tex]

Step-by-step explanation:

[tex][Kindly\ refer\ the\ attachment]\\We\ are\ given:\\GH\ is\ the\ diameter\ of\ the\ circle.\\ Also,\\ GM=3\ units\ and\ MH=7\ units\\From\ the\ figure,\\GH\ subtends\ an\ angle\ at\ two\ points\ specifically\ M\ and\ N\ on\ the\\ arc.\\Now,\\We\ know\ that,\\'The\ Angle\ subtended\ by\ the\ diameter\ anywhere\ over\ the\ arc\ of\ the\\ circle\ is\ always\ 90\ degrees'.\\Hence,\\\angle GMH\ = \angle GNH=90\\[/tex]

[tex]Also,\\Pythagoras\ Theorem\ states\ that: 'In\ a\ right\ triangle,\ the\ sum\ of\ squares\\ \ of\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\ hypotenuse'\\In\ \triangle GMH,\\Since\ \angle GMH=90,\\GM^2+MH^2=GH^2[Through\ Pythagoras\ Theorem]\\Hence,\\Substituting\ GM=3,\ MH=7:\\3^2+7^2=GH^2\\GH^2=9+49=58[/tex]

[tex]Similarly,\\In\ \triangle GNH,\\Since\ \angle GNH=90,\\GN^2+NH^2=GH^2\\Hence,\\Substituting\ GN=x\ and\ NH=y:\\x^2+y^2=GH^2\\x^2+y^2=58[/tex]

Answer:

it’s to the left 5 units, down three, so B because the translation maps abc to a’b’c’

Step-by-step explanation:

When an adult is 189cm tall, his predicted weight in kg is 84.89kg

We have y = -106+1.01x. This is the regression equation

we are to find y(weight) given that x (height) is 189 cm

y = -106 + 1.01x

y = -106+1.01*189

y = -106+190.89

y = 84.89 kg

In conclusion, when height is 189cm, weight is 84.89 kg

Here is a similar question https://brainly.com/question/16105209?referrer=searchResults.

Answer:

v = pi x r^2 x h

3.14 x 16 x 5 =251.2

hope that answers your question

Answer:

5

Step-by-step explanation:

(45 + x) / 2

add 45 to a certain number and divide the sum by 2

= 5 × x

is 5 times the number

(45 + x)/2 = 5x

45 + x = 10x

45 = 9x

x = 5

please mark this answer as brainlist

9514 1404 393

Answer:

  c.  $0.08

  fee = $50

Step-by-step explanation:

We are given two ordered pairs:

  (minutes, charges) = (150, 62) and (175, 64)

The slope of the graph of charges is ...

  m = (y2 -y1)/(x2 -x1) = (64 -62)/(175 -150) = 2/25 = 0.08

The charge for each minute is $0.08.

__

The y-intercept of the graph can be found from ...

  b = y -mx

  b = 62 -150(0.08) = 62 -12 = 50

The fixed monthly fee is $50.

Answer:

y = -2x - 1

Step-by-step explanation:

Plug in the slope and given point into slope intercept form, y = mx + b, and solve for b:

y = mx + b

-3 = -2(1) + b

-3 = -2 + b

-1 = b

Plug in the slope and y intercept into y = mx + b:

y = mx + b

y = -2x - 1

So, the equation of the line is y = -2x - 1

The 8 will end up in the "ones place".

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the 8 will end up in which place

A negative divided by a negative is positive, then;

2380/ 10 = 238

Therefore, The 8 will end up in the _ ones_ place.

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Answer:

(1) 16 x 14 x 10 Room: 2240 ft^3.

(2) How much greater the 18 x 16 x 10 Room is: 640 ft^3.

Step-by-step explanation:

To find the volume of a given space, all we need to do is multiply length*width*height. In this case, the values are 16*14*10, which equals 2240 ft^3.

The changed design would have a volume of 18*16*10, which would equal 2880 ft^3.

To find the difference in volume between the two rooms, all we have to do is subtract the smaller room from the bigger room. 2880 - 2240 = 640 ft^3.

Answer:

b=7

Step-by-step explanation:

5a(2b – 3a) = 40

Let a=4

5*4(2b-3*4) = 40

20(2b-12) = 40

Divide each side by 20

20/20 (2b-12) = 40/20

2b-12 =2

Add 12 to each side

2b-12+12 = 2+12

2b = 14

Divide by 2

2b/2 = 14/2

b = 7

9514 1404 393

Answer:

  240 m²

Step-by-step explanation:

The lateral surface area is given by the formula ...

  LA = πrs . . . . . cone with radius r and slant height s

The base area is given by the formula ...

  BA = πr²

The total surface area is the sum of these:

  SA = BA +LA = πr² +πrs = πr(r+s)

The radius is half the diameter, so is 9m/2 = 4.5 m. Then the surface area is ...

  SA = π(4.5 m)(4.5 m +12.5 m) = 76.5π m² ≈ 240 m²

Answer:

1: A. 448 2: 209 pi cm^2 3: D. 351 m^2 4. B 240 cm^2 5. C. 561.1 cm^2

Step-by-step explanation:

just took the test!!!

Answer:

Point of intersection:

[tex]3x - y = 8 - - - (a) \\ x + 2y = 5 - - - (b) [/tex]

2 × equation(b) + equation (a):

[tex]7x = 21 \\ x = 3 \\ \\ y = 3x - 8 \\ y = 1[/tex]

Point of intersection = (3, 1)

Perpendicular line:

[tex]3x + 6y - 11 = 0 \\ 6y = - 3x + 11 \\ y = - \frac{1}{2} x + \frac{11}{6} [/tex]

General equation of line:

[tex]y = mx + c \\ 1 = (2 \times 3) + c \\ c = - 5[/tex]

Value of m:

[tex]m \times m {}^{i} = - 1 \\ m \times - \frac{1}{2} = - 1 \\ m = 2[/tex]

Answer:

Step-by-step explanation:

The question has an error. Volume is expressed in cubic units. You probably mean cm³ .

Volume = 8 cm³

Length of each edge = ∛8 = 2 cm

Answer:

2cm

Step-by-step explanation:

Volume of cube=a^3 cubic units

8=a^3

a=cuberoot of 8

which is 2

Answer:

statistics are when data analyzed in order to make decisions about the population behind the data.

The correct answer to the question is Statistics (Option D).

What is statistics?

Statistics is a field of study in mathematics which deals with raw data. It is a tool which refines the data to produce meaningful results and a pathway to better understanding of it.

Some examples of raw data can be population sample which loves to see a particular TV show or a sample of students getting so and so marks in Math test.

Data is analyzed mainly by three different measure of central tendency that is mean, median and mode.

Therefore, Statistics the correct answer.

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Answer:

If the total perimeter of square is 48 cm, then the length of one side is equal to 48 divided by 4, since all sides of a square are the same.

So, the correct answer is 12.

Let me know if this helps!

The length of each side is 12cm.

Explanation:

The perimeter of a square is calculated by the formula:

P = 4a , where  P = perimeter, and a = length of any side, all sides being equal in a square.

From the given data we write:

48 = 4a

Divide both sides by

4.12 = a

The length of each side is 12cm.

Answer:

-5/4x -15/4 = y

Step-by-step explanation:

y = -3 - 4/5x

To find the inverse, exchange x and y

x = -3 - 4/5 y

Solve for y

Add 3 to each side

x+3 = -4/5y

Multiply each side by -5/4

-5/4(x+3) = -5/4 * -4/5(y)

-5/4x -15/4 = y

Answer:

the next one is .857 I hope this helps you :)

Consecutive terms in this sequence are separated by a constant c, so if the 4th term is 15, then the next terms would be

5th: 15 + c

6th: (15 + c) + c = 15 + 2c

7th: (15 + 2c) + c = 15 + 3c

and so on. More generally, since any given number in the sequence depends on the number that came before it, we can write the n-th term in terms of the 4th term,

n-th: 15 + (n - 4) c

Then the 9th term in the sequence is

15 + (9 - 4) c = 35

and solving for c gives

15 + 5c = 35   ==>   5c = 20   ==>   c = 4

Then the 15th term would be

15 + (15 - 4)×4 = 15 + 11×4 = 15 + 44 = 59

Answer:

8

Step-by-step explanation:

40 grouped into 5 = 40/5 = 8

Step-by-step explanation:

I hope it helped and it is easy to understand i hope it was helpful

1)4y-2=8-2y+4y

=4y-2y+4y=8-2

2y +4y=8-2

6y+6

12

4,6,8,10 are in A.P

[tex]\\ \rm\Rrightarrow a_n=a+(n-1)d[/tex]

[tex]\\ \rm\Rrightarrow a_20=4+(20-1)2[/tex]

[tex]\\ \rm\Rrightarrow a_20=4+19(2)[/tex]

[tex]\\ \rm\Rrightarrow a_20=4+38[/tex]

[tex]\\ \rm\Rrightarrow a_20=42[/tex]

this is a random sample because the instructor randomly selected the classes that she wants to use for her interview.

The  sampling method used is random sample.

To reach substantial inferences from your outcomes, you need to painstakingly conclude how you will choose an example that is illustrative of the gathering in general. A sampling method is the name for this. You can use one of two primary types of sampling methods in your research:

By using random selection in probability sampling, you can draw solid statistical inferences about the entire group.

You can easily collect data with non-probability sampling, which uses non-random selection based on convenience or other criteria.

Given English instructor randomly select 3 classes,

and  then interviews all students in those three classes to determine the average number,

Every member of the population has the same chance of being chosen in a straightforward random sample. The entire population should be included in your sampling frame.

You can use techniques that are entirely based on chance or tools like random number generators to carry out this kind of sampling.

The method used is Random sample method.

Hence, Random sample sampling is used.

Learn more about sampling methods;

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B(-6,9)is the answer

have a great dayyyy.

ans: 257,256.59

if it was sold for $3.99

it would have been 86,047 × $3.99 = 343,303.59 and it was sold for $1 instead so automatically it's $86,047

therefore

343, 303.59

-86, 047 which is equal to a loss of $257, 256.59