How to solve it and explain it

Given:

A set of composite numbers less than 12.

To find:

The set by listing and set builder methods​.

Solution:

Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.

Composite numbers less than 12 are 4, 6, 8, 9, 10.

By using the listing method , the given set can be expression as:

Set = {4, 6, 8, 9, 10}

The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.

By using set builder method, the given set can be expression as:

Set = [tex]\{x|x\neq P,1<x<12\}[/tex]

Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and [tex]\{x|x\neq P,1<x<12\}[/tex] respectively.

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Explanation:

The point (-2,2) is on the red f(x) line. This point is marked in black.

It corresponds to the point (-2,-10) on the g(x) blue line.

The point (-2,2) moves to (-2,-10). The x coordinate stays at x = -2. The y coordinate has gone from y = 2 to y = -10. This is a jump of "times negative 5".

-5*2 = -10

So we see that k = -5

Saying g(x) = k*f(x) is the same as g(x) = -5*f(x)

Recall that y = f(x), so saying -5*f(x) is really saying "whatever the y coordinate is on f(x), multiply it by -5 to get the corresponding y coordinate on g(x)".

Answer:

-5

y = -x + 4 (red)

y=5x -20 (blue)

-5*(-x+4) = 5x-20

Step-by-step explanation:

9514 1404 393

Answer:

  D'(4, 0)

Step-by-step explanation:

  (x, y) ⇒ (x +3, y -2)

  D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)

Answer:

$469.80

Step-by-step explanation:

First, let's find out how many fees would be paid exclusively for renting it out for 14 days.

29.00 * 14 = $406

They have to pay 406 dollars just for having the car for 14 days.

Now let's find out how much will need to paid for driving for 320 km.

We can first take away 100 km because the fee only starts afterwards.

320 - 100 = 220

220 * 0.29 = 63.8

63.80 + 406 = 469.80

Answer:

30°

Hope this answer is right!

Step-by-step explanation:

to go around the shape, you make a complete circle: 360°. So, divide 360° by the dodecagon's twelve exterior angles. Each exterior angle is 30°.

Answer:

43°

Step-by-step explanation:

Angle B is congruent to the opposite angle.

Answer:

Step-by-step explanation:

12b + 1 5c = 420

b ---> number of hour baby sitting

c-----> number of hours cleaning

c = 32 hours

Plugin c = 32 in the equation,

12b + 15*32 = 420

12b + 480 = 420

Subtract 480 from both sides

12 b = 420 - 480

12b = -60

So, This is not a reasonable value.

2) b = 10 hours

Plugin b = 10 hours

12*10 + 15c = 420

120 + 15c = 420

         15c = 420 -  120

         15c = 300

Divide both sides by 15

c = 300/15

c = 20 hours

He has to do cleaning for 20 hours

Yes, It is reasonable value

Answer:

intercepts are (-6/11 , 0) and ( 6,0 )

Answer:

A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.

Answer:

I would go with D

Step-by-step explanation:

Because there are 4 possibilities.

1) they both land heads up

2) they both land tails up

3) one lands heads up and the other tails up

4) one lands tails up and the other heads up

Hope this helps!

Answer:

x=40

Step-by-step explanation:

1/5x=8

x=8*5=40

x=40

QUESTION:- Given 3x+y=1

Write the equation in general form Ax+By+C =0

3x-y+1=0

-3x +y-1=0

3x-y=-1

[tex]3x + y - 1 = 0 \: \: ✔[/tex]

ANSWER:-

[tex]3x + y = 1 [/tex]

Form of the given equation->

[tex]Ax + By = C[/tex]

so we need to change the side of the C !

while changing side of C we need to change the sign of C !

[tex] \bold{ \red{SO :- }}[/tex]

[tex]3 x + y = 1 \\ 3x + y - 1 = 0[/tex]

FORM OF THE RESULTED EQUATION:-

[tex]Ax + By + C = 0 \\

A = 3 \\ B = 1 \\ C = - 1[/tex]

Answer:

$1865

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Answer:

0.30(5)

the 5 is repeating

Step-by-step explanation:

calculator

Answer:

Rs.1772624

Step-by-step explanation:

Multiply 52,236 by 34

Answer:

x > 5.5

Step-by-step explanation:

4(x - 3) - (2x - 1) > 0

4x - 12 - 2x + 1 > 0

4x - 2x - 11 > 0

2x - 11 > 0

2x - 11 + 11 > 0 + 11

2x > 11

2x ÷ 2 > 11 ÷ 2

x > 5.5

Answer:

x>13/2

Step-by-step explanation:

4x-12-2x-1>0

2x-13>0

2x>13

X>13/2

Answer:

The answer is below

Step-by-step explanation:

A function shows the relationship between the set of inputs (independent variable) to the set of outputs (dependent variables).

The domain of a function is the set of possible inputs (independent variable) that satisfies the functions.

From the question, the domain of the function is the set of all possible vales of the inputs which is a (number of album sold).

Hence the domain of the function is:

0 < a < ∞

Answer:

See explanation

Step-by-step explanation:

Volume of a cylinder = πr²h

Solve for r

V = π * r² * h

r² = V/πh

Find the square root of both sides

r = √V/πh

If height = 6 meters and volume = 300 cubic meters. Find r

r = √V/πh

= √(300/3.14*6)

= √(300/18.84)

= √15.923566878980

r = 3.9904344223381

Approximately,

r = 4 meters

Answer:

a = 4.

Step-by-step explanation:

We know that:

[tex]A = \left[\begin{array}{ccc}4&3\\a&3\end{array}\right][/tex]

is a singular matrix, now we want to find the value of a.

We know that a matrix is singular if:

Det [A] = 0

Where remember that the determinant of a 2x2 matrix is given by:

[tex]M = \left[\begin{array}{ccc}k_{11&k_{12\\k_{21}&k_{22}\end{array}\right]\\\\det[M] = k_{11}*k_{22} - k_{12}*k_{21][/tex]

Then the determinant of A is:

Det [A] = 4*3 - a*3

and that must be zero, so:

4*3 - a*3 = 0

Now we just need to find the value of a:

12 - a*3 = 0

12 = a*3

12/3 = a

4 = a

So the value of a is 4.

Answer:  Greater than sign

In other words, 11.01 > 11.001

========================================================

Explanation:

For each given number, move the decimal point 3 spots to the right.

The value 11.01 becomes 11010

The value 11.001 becomes 11001

Since 11010 > 11001, this means 11.01 > 11.001

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As an alternative method, you can subtract the values to see which is larger

The rule or idea is that

For example, 5-2 = 3 showing that 5 is larger than 2. As another example, 7-9 = -2 meaning 7 is smaller than 9. The order of subtraction matters.

In this case, 11.01 - 11.001 = 0.009 showing that 11.01 is larger than 11.001

Answer:

10 horas.

Step-by-step explanation:

Dado que una muestra de laboratorio contiene 32 bacterias inicialmente, y luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora, para determinar al cabo de cuántas horas no quedará ninguna bacteria se debe realizar el siguiente cálculo:

32 / 2  = 16

16 / 2 = 8

8 / 2 = 4

4 / 2 = 2

2 / 2 = 1

1 / 2 = 0.5

0.5 / 2 = 0.25

0.25 / 2 = 0.125

0.125 / 2 = 0.0625

0.0625 / 2 = 0.03125

Por lo tanto, al cabo de 10 horas no quedará ninguna bacteria.

Answer:

8

Step-by-step explanation:

S = -7 to V= 1 you count from -7 to 1

Answer:

r = 14

Step-by-step explanation:

Use distributive property:

4r + 2r - 16 = 12 + 4r

Combine like terms:

6r - 16 = 12 + 4r

Isolate the variable:

6r = 28 + 4r

2r = 28

r = 14

Answer:

r = 14

Step-by-step explanation:

4r + 2(r - 8) = 4(3 + r)

4r + 2r - 16 = 12 + 4r

6r - 16 = 12 + 4r

6r - 4r - 16 = 12 + 4r - 4r

2r - 16 = 12

2r - 16 + 16 = 12 + 16

2r = 28

2r ÷ 2 = 28 ÷ 2

r = 14

Answer:

Step-by-step explanation:

5n⁵c⁻⁵ *  2n⁻⁵c³ = (5*2)*n⁵⁺⁽⁻⁵⁾ * c⁻⁶⁺³

                          =10*n° *c⁻³

                           = 10c⁻³               (n° = 1}

[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{9r^{6}}{5r^{3}g^{2}}=\frac{9}{5g^{2}}*r^{6-3}\\\\=\frac{9r^{3}}{5g^{2}}\\\\\\\\\frac{9g^{-4}y^{4}}{3g^{6}y^{-2}}=\frac{9}{3}*g^{-4-6}*y^{4-(-2)}\\\\=3*g^{-10}*y^{4+2}\\\\=3g^{-10}*y^{6}\\\\=\frac{3y^{6}}{g^{10}}[/tex]

Answer:

12y

Step-by-step explanation:

Answer:

angle K is 30 degrees

Step-by-step explanation:

A triangle adds up to 180 degrees. since LM and KM are congruent angle L and M are both 75 degrees each you subtract from 180 and you get 30 degrees