There are group of 20 friends. Every one is a supporter of either Chennai Super Kings or Kolkata Knight Riders or both. If 15 of them support Chennai Super Kings and 10 of them support Kolkata Knight Riders, (i) the number of people who supports both Chennai Super Kings and Kolkata Knight Riders is ____. (ii) the number of people who support only Chennai Super Kings is ____. (iii) the number of people who support only Kolkata Knight Riders is ____.

Answer: (4-4i)+(3-2i) = 7-6i

Step-by-step explanation:

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.

Answer:

Step-by-step explanation:

x= -b/2a = -64/2(-16) = 2

showing that the object will reach its highest point at 2 seconds

Answer:

The surface area of the cylinder is 251.2cm²

Step-by-step explanation:

To solve this problem we have to calculate the circle area and the lateral area

radius = half of diameter

r = 10/2 = 5cm

To calculate the area of ​​the circle we use the following formula

a = area

r = radius = 5cm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (5cm)²

a = 3.14 * 25cm²

a = 78.5cm²

The area of the circle is 78.5cm²

To calculate the lateral area of ​​the cylinder we use the following formula

a = area  =

h = heighti = 3cm

r = radius = 5cm

π = 3.14

a = 2 * π * r * h

we replace with the known values

a = 2 * 3.14 * 5cm * 3cm

a = 6.28 * 15cm²

a = 94.2cm²

The lateral area of ​​the cylinder is 94.2cm²

Now we add the lateral area of ​​the cylinder with 2 times the area of ​​the circle and obtain the area of ​​the cylinder

94.2cm²  + (2 * 78.5cm²) = 251.2cm²

The surface area of the cylinder is 251.2cm²

Answer:

x^2+6x+8

Step-by-step explanation:

x x x=x^2

x x2= 2x

4 x x=4x

4 x 2= 8

x^2+2x+4x+8

x^2+6x+8

Answer:

Step-by-step explanation:

Let width be x

Let lenght be 25 + x

Total ax = (25+x) * x

Square with 5in long are cut from the four corner formed = 750in

(25+x-10) * (x-10) * 5 = 750

(15+x) (x-10) = 150

15x-150+x^2-10x =150

15x -150-150+x^2-10x+0

x^2+15x-300=0

(ax^2+bx+c=0)

Answer:

x = 27

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(x+48)* 48 = 60^2

(x+48)* 48 = 3600

Divide each side by 48

x+48 =75

Subtract 48 from each side

x = 75-48

x=27

Answer:

(3.2, 12)

Step-by-step explanation:

Total cost for gas = $12

Cost per gallon = $3.75

Letting total cost of gas be y and number of gallons be x, maximum number of gallons of gas he can buy would be ;

Total cost of gas/ cost per gallon = 12 / 3.75 = 3.2 gallons

Therefore , the coordinate pair (x, y) = (3.2, 12)

Answer:

596

Step-by-step explanation:

I typed in 656 as the other person it was but it wasn't

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The nth term of an arithmetic series is given as:

a(n) = a(1) + (n - 1)d

The 64th term of the arithmetic sequence is 596.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

common difference = 2

The first term = 2.

We have,

29, 38, 47,.....

First term = 29

a(1) = 29

Common difference:

= 38 - 29

= 9

Now,

The nth term of an arithmetic series is given as:

a(n) = a(1) + (n - 1)d

The value of the 64th term in the arithmetic sequence.

a(64) = a(1) + (64 - ) x 9

a(64) = 29 + 63 x 9

a(64) = 29 + 567

a(64) = 596

Thus,

The 64th term of the arithmetic sequence is 596.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

Answer:

n=2.5

Step-by-step explanation:

(2n+4)+6=-9+4(2n+1)

Expand parentheses:

2n+10=-9+8n+4

Combine like terms:

15=6n

Divide both sides by 6:

n=2.5

Hope this helps!

Answer: -3

Step-by-step explanation:

-3^2=-3*-3=-9

Because the square of q is equal to -9, the square root of -9 is equal to q.

Because of this fact, we can find the square root of -9 to get our answer.

[tex]\sqrt{-9}[/tex] = 3 i.

Therefore, q is equal to 3 i or [tex]\sqrt{-9}[/tex].

Hope this helped! :)

Answer:

1, 27, 3, 9,

Step-by-step explanation:

To find the factors of 27 you need to find which whole number times another whole number = 27

We know that 1*27 = 27

We also know that 3*9 = 27

The factors are all the numbers that are used in the multiplication.

In this example the numbers are: 1, 3, 9 and 27

Answer:

1,9,3,27

Step-by-step explanation:

if we break it down we can see:

1x27=27

9x3=27

Answer & Step-by-step explanation:

For this problem, all we have to do is add f(x) to g(x). So, we will add (x -2) to (x² + x - 6).

(x - 2) + (x² + x - 6)

Combine like terms.

x² + (x + x) + (-2 + (-6))

x² + 2x - 8

So, (f + g)(x) is equal to x² + 2x - 8

Answer:

B.

Step-by-step explanation:

First find the other two angles in the triangle using supplementary angles.

They are 90° and 55°

Now just subtract them from 180

180 - 90 - 55 = 35°

Answer:

1700

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

(64/729)^(−1/6)=(2^6/3^6)^(-1/6)=(2/3)^-1=3/2

Answer:

[tex]Volume = 54\,\pi[/tex]

Step-by-step explanation:

Recall the formula for the volume of a cylinder:

[tex]Volume=\pi \,R^2\,H[/tex]

where R is the radius of the cylinder's base, and H is the cylinder's height.

Therefore, in our case the volume becomes:

[tex]Volume=\pi \,R^2\,H\\Volume=\pi \,3^2\,*\,6\\Volume = 54\,\pi[/tex]

Answer:

a) 1,14%

b) 317%

Step-by-step explanation

J = C . i . t

540 - 500 = 500 . i . 7

40 = 500 . 7 . i

i = 0,0114 = 1,14% within day

-------------------------------------------

J = 500 . 0,0114 . 365 = 2085,71

2085,71 - 500 = 500 . i . 1

1585,71 = 500 . i

i = 3,17 = 317% annual

Answer:

B

Step-by-step explanation:

Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.

Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B

where L is the length and B is the breadth

our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle

So, let’s say the sides measure 5 inches by 4 inches

Enlarging these by a factor of 6, we have 30 inches by 24 inches

The new area of the rectangle would thus be ;

30 inches * 24 inches = 720 inches^2

Answer:

b

Step-by-step explanation:

Answer:

Correct option: C

Step-by-step explanation:

To solve the equation m*5 - 8 = -6, we can use the following steps:

step1: sum 8 in both sides, to make m*5 be the only term in the left side.

m*5 = 2

step2: divide both sides by 5, then we will have 'm' isolated in the left side.

m = 2/5

So the operations we could use is: add 8 to each side and then divide each side by 5.

Correct option: C

Answer:

4/6 , 3/4, 7/8

Step-by-step explanation:

7/8 4/6 3/4

The common denominator is 24

7/8*3/3 = 21/24

4/6* 4/4 = 16/24

3/4 * 6/6 = 18/24

From smallest to largest

16/24, 18/24, 21/24

4/6 , 3/4, 7/8

Answer:the answer is -17

Step-by-step explanation:

Answer:

between step 1 and 2 he left off the 5

Answer:

All whole numbers are integer

All natural numbers are rational numbers

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

edge 2021 :)

Answer:

28

Step-by-step explanation:

So I just figured out by counting. The top has 8, which means the bottom also has 8. The sides are 3, 2, 1, 1, 2, 3

The total is 8 + 8 + 3 + 2 + 1 + 1 + 2 + 3 =  28

Answer:

7.125pounds

Step-by-step explanation:

if a recipe for stew calls for 2 1/2 pounds of meat, 22 ounces of beans, 14 ounces of carrots, and 2 pounds 6 ounces of potatoes, in order to get the weight of the ingredients in the stew in pounds, we will convert all the units to pounds first and then add them together.

On conversion;

since 1 ounce = 0.0625pounds

Weight of beans in pounds = 22 * 0.0625 = 1.375pounds

Weight of meats = 2 1/2 pounds

Weight of carrots in pounds = 14*0.0625 = 0.875pounds

Weight of potatoes in pounds = 2+(6*0.0625) = 2+0.375 = 2.375pounds

weight of the ingredients in the stew in pounds = 1.375+2.5+0.875+2.375

weight of the ingredients in the stew in pounds = 7.125pounds

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4(2x - 3) = 6x + 2

Expand it:

8x - 12 = 6x + 2

+ 12 to both sides

8x = 6x + 14

- 6x from both sides

2x = 14

Divide both sides by  2:

x = 7

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Answer: (-6, -3)

Step-by-step explanation:

We have the point (-3, -6)

And we want to do a reflection over the line y = x.

When we do a reflection of the point (x, y) over the line y = x. the reflected point will be (y, x)

So if our original point is (-3, -6) then the reflected point is (-6, -3)

Answer:

first box: -14[tex](x+7)^2-49=0\\(x+7)^2=49\\(x+7)=\sqrt{49} \\(x+7)=+/-7\\x=-7+/-7\\x=-7+7\,\,and\,\,-7-7\\x=0\,\,and\,\,-14[/tex]

second box: zero

Step-by-step explanation:

Answer:

x = 17, y = 9

or as an ordered pair, (17, 9).

The equations are consistent.

Step-by-step explanation:

2x - 3y = 7

x - 2y  = -1        Multiply this equation by -2:

-2x + 4y = 2     Add this to the first equation:

y = 9.

Plug y = 9 into the second equation:

x - 2*9 = -1

x = -1 + 18 = 17.