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Explanation:

There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.

We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.

Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.

Answer:

5.55%

Step-by-step explanation:

Hope this helped you

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Sorry for bad handwriting.

Thank you

Answer:

Hello,

Step-by-step explanation:

The well-known magic square. (first apparition in China).

Here it the methode du Marquis de Liouville: (odd square:3,5,7,9,11,13,...)

We are going to put successively the number from 1 to n² (here n=3)

We imagine that the square is put on a sphere;

We begin in the middle of the last line where we put 1

ICI:

We move in direction SE of one case and put le next number

until we reach of multiple of n

After have reached a multiple of n, we move verticaly of one case

and we go to ICI until we reach n²

Answer:

Step-by-step explanation:

I'm not sure what the question is asking, but if you mean the angles in the blue lines

First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10

Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60

Third one, the given angle is 75 so 90-75=15.

The answers would be 10, 60, and 15.

Answer:

Step-by-step explanation:

Assuming you want to find x, we can set two equations:

x-3=0

2x-3=0

This is so that we can individually find x within the two paranthesis and not have to do more work. It helps for standardized tests.

solve for x on both sides, and you get 3 and 1.5

Answer:

[tex]x=3, x=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]\left(x-3\right)\left(2x-3\right)=0[/tex]

The zero product theorem will be used here to solve this non-linear problem.

means that in the original equation, each variable component must be set to zero.

[tex]\begin{cases} x-3=0\\2x -3=0\end{cases}[/tex]

To solve this linear equation, we need to group all of the variable terms on one side of the equation and all of the constant terms on the other.

so,  -3  will be moved to the right side

Notice that when a term moves from one side of the equation to the other, it changes sign.

[tex]\begin{cases} (x-3)+3=3\\(2x-3)+3=3 \end{cases}[/tex]

[tex]x\left \{ 3,\frac{3}{2} \}[/tex]

OAmalOHopeO

¢✓¢==¢=

Step-by-step explanation:

==`==¢=¢✓%✓™€✓✓€=€✓€✓

dbshhshs

shhsshsh

Answer:

120.40 per payment

Step-by-step explanation:

Subtract the down payment

642 - 160.40

481.60

Divide this by 4

481.60 / 4

120.40

Answer:

9.8

Step-by-step explanation:

2.3 + 8 – 1/2

Rewriting the fraction as a decimal

2.3 + 8 – .5

9.8

Answer:

rational

Step-by-step explanation:

Answer:

it's Rational Number

Step-by-step explanation:

since each integer can't be written in the fraction form or for this example it would be thus 5 so it would be a rational number

Answer:

x = 3

Step-by-step explanation:

using the mid segment formula since quadrilateral WZYP is similar to that of MZYT, this is expressed as;

29 = 1/2(23 +11x+2)

Cross multiply

2(29) =  23+11x+2

58 = 25 + 11x

11x = 58 - 25

11x = 33

Divide both sides by 11

11x/11 = 33/11

x = 3

Hence the value of x is 3

Answer:

the change is -81.33% (the 3 is repeating)

Answer:

scale facor is 1/3

Step-by-step explanation:

Answer:

The center is (9,-8) and the diameter is 8

Step-by-step explanation:

(x − 9)^2 + (y + 8)^2 = 16

A circle is in the form

(x − h)^2 + (y -k)^2 = r^2  where (h,k) is the center and r is the radius

(x − 9)^2 + (y -  -8)^2 = 4^2  

The center is (9,-8) and the radius is 4

The diameter is 2 times the radius so the diameter is 8

The center is (9,-8) and the diameter is 8

Answer:

-1

Step-by-step explanation:

[3-4(-1)^4]^3

=>(3-4)^3

=>(-1)^3

=>-1

Answer From Gauth Math

Answer:

-1

Step-by-step explanation:

[tex][3-4*(3-4)^4]^3[/tex]        

[tex](3-4)^4= 1\\Therefore, [3-4*1]^3= -1^3\\So, -1^3= -1\\\\[/tex]

Cube of any negative integer will be negative, or, a negative integer raised to any odd number will be negative. Likewise, a negative integer raised to an even number will be positive.

Answer:[tex]x^{2} -1[/tex]

Step-by-step explanation:

Given :[tex]g(x)=x^{3} +2x^{2} -x-2[/tex]

Factor x+2,x=-2

Using synthesis division:

-2 )  1 2   -1  -2

        -2    0   2

      1  0   -1   0

[tex]x^{2} +0x-1[/tex]

Yes,  x = -2 is a zero of the polynomial.

Given that,

The function g(x) = x³ + 2x² - x - 2 is divided by (x + 2)

Now apply the synthetic division to show that x = -2 is a zero of the polynomial.

When we divide by using synthetic division as shown in the attached image.

Remainder = 0

Hence, this shows that x = -2 is a zero of the polynomial.

Therefore, x = -2 is a zero of the polynomial.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ4

Answer:

A = 49/pi

Step-by-step explanation:

C = 2 * pi *r

14 = 2 * pi *r

Divide each side by 2 pi

14/2pi = r

7/pi = r

The area is given by

A = pi r^2

A = pi ( 7/ pi)^2

A  = pi * 49 / pi^2

A = 49/pi

Answer:

[tex]area = {15.61m}^{2} [/tex]

explanation is attached to the picture

Hope this helps you

Answer:

There are sixteen lines.

Answer:

25 used games

Step-by-step explanation:

Divide his money by the price for one used game

300/12

25

Answer:

y=0

12x=300

X=300/12

X=25

he can buy 25 used games .

Step-by-step explanation:

Answer:

3744.64

Step-by-step explanation:

To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.

Answer:

cylinder= A=πr²h

=3.14×4²×9

=452.16

rectangle=A=l×w×h

=19×11×11

=2299

total area=452.16+2299

=2751.16

Step-by-step explanation:

Answer:

It is over 7 days

hope it helps

Solution :

Maximize, S = xy

subject to 2x + 2y = 996

So,

2x + 2y = 996

2(x + y) = 996

x + y = 498

y = 498 - x

Therefore,

S = x (498 - x)

S = 498x - [tex]x^2[/tex]

S = [tex]-x^2 + 498x[/tex]

[tex]$S = -(x^2-498x + 249^2) + 300^2$[/tex]

[tex]$S= -(x-249)^2 + 249^2$[/tex]

S = x (498 - x)

S = 498x - [tex]x^2[/tex]

[tex]$\frac{dS}{dx}= 498 - 2x$[/tex]

[tex]$\frac{dS}{dx}= 0$[/tex]

498 - 2x = 0

2x = 498

x = 249

∴ y = 498 - x

  y = 498 - 249

     = 249

Answer:

A = 249 x 249 = 62001 square meter.

Side is L = 249 m

Step-by-step explanation:

Total length of the fence is 996 m.

Let the length is L and the width is W.

Perimeter = 2 (L + W)

996 = 2 (L + W)

498 = L + W

L = 498 - W ...... (1)

Let the area is

A = L W

A = (498 - W) W

A = 498 W - W^2

Differentiate with respect to W.

dA/dW = 498 - 2 W

Put it equal to zero.

498 - 2 W = 0

W = 249 m

Now, L = 498 - 249 = 249 m

Differentiate with respect to W again

[tex]\frac{d^2A}{dW^2} = - 2[/tex]

As it is negative so the area is maximum.  

The maximum area is

A = 249 x 249 = 62001 square meter.

Side is L = 249 m

2a , 1st exp= a2 + ab

= a(a+b)

2nd exp = a2-b2

= (a+b) (a-b)

HCF = (a+b)

b, 1 st exp= (a+b)2

= (a+b)(a+)

2 nd exp = a2-b2

= (a+b) ( a-b)

HCF = (a+b)

c, 1 st exp= (a-1)2

= (a+1) (a-1)

2nd exp= a2-1

= (a+1)(a-1)

HCF = (a-1)

d, 1st exp= (x-2)(x-3)

= x(x-3)-2(x-3)

= x2 - 3x - 2x + 6

= x2- 5x+ 6

= x2 - (3+2)x + 6

=x2 -3x-2x+ 6

= x(x-3) -2(x-3)

=(x-3)(x-2)

2 nd exp = (x+2) (x-3)

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

= x2 - 3 x+ 2x -6

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

=(x-3) ( x+ 2)

HCF = (x-3)

Answer:

A

Step-by-step explanation:

Heron's formula finds the area of any triangle.

Area = sqrt(s*(s - a)*(s-b)*(s-c) )

s = (a + b + c)/2

a = 8

b = 16

c = 12

s = 36/2 = 18

s-a = 18 - 8 = 10

s-b = 18 - 16 = 2

s-c = 18 - 12 = 6

Area = sqrt(18*10*2*6) = sqrt(2160)

Area = 12*sqrt(15)

Area = 46.4758

Now x is easily found. It is the altitude to 16

Area = 1/2 16 * h

46.4758 * 2 / 16 = h

h = 3*sqrt(15)/2

h= 5.81

Answer = No,It can be either rational or irrational.

________________________________

Prroof —

4 ÷ √8 = √2 { Which is an irrational number }

________________________________

Now, Here comes a twist,

We know that — 0 is a rational number.

And, 0 ÷ √56666 = 0 ________________________________

Note—

But, √56666 ÷ 0 = Error ( Lol )

________________________________

Answer:

Step-by-step explanation:

What are we supposed to do? You already have the answers and they’re all correct if that’s what you wanted to know

Answer:

Step-by-step explanation:

[tex] {32}^{ \frac{1}{5} } [/tex]

[tex] = \sqrt[5]{32} [/tex]

[tex] = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} [/tex]

= 2 (Ans)

Answer:

BC = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

BC² + AC² = AB²

BC² + ([tex]\frac{5}{13}[/tex] )² = 1²

BC² + [tex]\frac{25}{169}[/tex] = 1 ( subtract [tex]\frac{25}{169}[/tex] from both sides )

BC² = [tex]\frac{169}{169}[/tex] - [tex]\frac{25}{169}[/tex] = [tex]\frac{144}{169}[/tex] ( take square root of both sides )

BC = [tex]\sqrt{\frac{144}{169} }[/tex] = [tex]\frac{12}{13}[/tex]

Answer:

33π square feet

Step-by-step explanation:

Volume = base area × height

132π = base area × 4

or, base area = 132π/4

or, base area = 33π

Answered by GAUTHMATH