The blizzard company sent a survey to their world of warcraft subscribers and asked if they were expected about the up coming expansion. From the survey, 16 people of the 20 people surveyed said they were excited. A) the probability that 2 people were excited without replacement is

Given:

Consider the value of [tex]a+b\sqrt{5}[/tex] is [tex](\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex].

To find:

The values of a and b.

Solution:

According to the given information,

[tex]a+b\sqrt{5}=(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex]

[tex]a+b\sqrt{5}=(\sqrt{5})^2-(\sqrt{3})^2[/tex]            [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]a+b\sqrt{5}=5-3[/tex]

[tex]a+b\sqrt{5}=2[/tex]

It can be written as

[tex]a+b\sqrt{5}=2+0\sqrt{5}[/tex]

On comparing both sides, we get

[tex]a=2,b=0[/tex]

Therefore, the value of a is 2 and the value of b is equal to 0.

Answer:

0.00975 m^3 each

Step-by-step explanation:

rs 84000 / rs 13 = 6461.539 bricks

63 m^3 / 6461.539 = 0.00975 m^3 each

Answer:

Because it's not a quadratic function.

Step-by-step explanation:

The imaginary roots of a quadratic equation will always be in form of a ± b thus 3 and 2 + 3i will be incorrect.

The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

The standard form of a quadratic equation is,

ax² + bx + c = 0

The root of it is given by,

x = [-b ± √(b²-4ac)]/2a

For being this as imaginary the term b²-4ac < 0

Let's say b²-4ac = -m then

x = (-b/2a) ± (m/2a)i so both root will be imaginary.

Given that one root is real (3) and the second is imaginary (2 + 3i) is not possible.

Hence "The imaginary roots of a quadratic equation will always be in form of a ± b thus 3 and 2 + 3i will be incorrect".

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Answer:

[tex]6a^{2} \sqrt{ab}[/tex]

Step-by-step explanation:

area of square = side x side

thus, each side = square root of area

[tex]\sqrt{36a^5b}[/tex] = 6[tex]\sqrt{a^{4} ab}[/tex] = 6[tex]a^{2}[/tex][tex]\sqrt{ab}[/tex]

Answer:

E. -12 and -2

Step-by-step explanation:

-12 x -2 = 24

brainliest please

Answer:

Obviously -12 and -2 is true.

Answer:

L=65m

W=23m

Step-by-step explanation:

[tex]3W-4=L\\2L+2W=176\\\\2L+2W=176\\-2L+6W=8\\8W=184\\W=23m\\L=23*3-4=65m[/tex]

The length and width of the rectangle are 63m and 25m.

A rectangle is a quadrilateral, a 2d shape that has four sides and four vertices.

We have,

The perimeter of a rectangle = 176 m

Length of the rectangle = L = 3 x (W- 4 )

Width of the rectangle = W

The perimeter of a rectangle is given by:

176 = 2 ( L + W )

176 = 2 ( 3 ( W - 4 ) + W )

176 = 2 ( 3W - 12 + W )

176 = 2 ( 4W - 12 )

176 = 8W - 24

176 + 24 = 8W

200 = 8W

W = 200 / 8

W = 25 m

Now,

Put W = 25 in L = 3 x ( W - 4 )

L = 3 x ( 25 - 4 )

L = 3 x 21

L = 63 m

We can cross-check:

Perimeter = 2 ( 63 + 25 ) = 2 ( 88 ) = 176 m

Thus the length and width of the rectangle are 63m and 25m.

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Step-by-step explanation:

can an.y gi.rl message me. i have no power to inbox

[tex] \sin = \frac{opp}{hyp} [/tex]

[tex] \sin(15) = \frac{280}{hyp} [/tex]

[tex]hyp = \frac{280}{ \sin(15) } [/tex]

[tex]hyp = 1081.836925 \: feet[/tex]

The direct line distance from the eagle to the mouse is 1081.837 feet

Answer:

maybe uh 34567

Step-by-step explanation:

Answer:

Find the prime factors of each term in order to find the greatest common factor (GCF).

2y^2

To factor the GCF out of a polynomial, we do the following: Find the GCF of all the terms in the polynomial. Express each term as a product of the GCF and another factor. Use the distributive property to factor out the GCF.

Step-by-step explanation:

Hope it is helpful.....

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 14) and (x₂, y₂ ) = (- 2, - 16)

m = [tex]\frac{-16-14}{-2-8}[/tex] = [tex]\frac{-30}{-10}[/tex] = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 14 ) , then

14 = 24 + c ⇒ c = 14 - 24 = - 10

y = 3x - 10 ← equation of line

Answer:

x < - 3

Step-by-step explanation:

Given

15 < - 5x

Divide both sides by - 5, reversing the symbol as a result of dividing by a negative quantity

- 3 > x , that is

x < - 3

The simplified expression is x < -3.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The expression is 15 < -5x

⇒ [tex]15 < -5 x[/tex]

Divide both sides by -5,

⇒ [tex]\frac{15}{-5} < \frac{-5}{-5} x[/tex]

When we divide an inequality with negative number, we need to change the sign,

⇒ [tex]-3 > x[/tex]

⇒ [tex]x < -3[/tex]

Hence we can conclude that the simplified expression is x < -3.

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First okay and second umm my what?! Lol

The answer is : - 112

We add 14 to both side

-16x - 14 = -126

       + 14    +14

-16x      =  - 112.    <- that’s the answer

Then we divide both sides by 16

X          =  7

Ta -Da!!

Also I’ll leave this.....

Answer: 0.6375

Step-by-step explanation:

Let's assume that the event that she'll make the first shot is given as P(A) while making the second shot is P(B). Therefore, P(A/B) = 0.85

Therefore, the probability that she makes both free throws will be denoted as:

= 0.75 × 0.85

= 0.6375

Answer:

2 or [tex] \log_{12} 144 [/tex]

Step-by-step explanation:

I assume 12 is the base.

[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]

[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]

[tex] = \log_{12} (18 \times 8) [/tex]

[tex] = \log_{12} 144 [/tex]

[tex] = \log_{12} 12^2 [/tex]

[tex] = 2\log_{12} 12 [/tex]

[tex] = 2 [/tex]

The entire expression simplifies to 2, but if you need the simplest log expression, then you can use

[tex] \log_{12} 144 [/tex]

Answer:

El lado de cada mosaico tiene una longitud de 30 cm.

Step-by-step explanation:

El area de un mosaico cuadrado es:

[tex]A=l^{2}[/tex]

Donde l es el lado del mosaico.

Entonces, si sabes que el area es 900 cm², el lado valdra:

[tex]900=l^{2}[/tex]

[tex]l=\sqrt{900}[/tex]

[tex]l=30\: cm[/tex]

Por lo tanto el lado de cada mosaico tiene una longitud de 30 cm.

Espero te haya servido!

Answer:

Step-by-step explanation:

a+b = 23

a<b

a = 23-b

Answer: yes if is

Step-by-step explanation:

Answer:

The square root must be between the square roots of the perfect squares just above and just below your number.

For example the square root of 89 must be between 9 and 10.

Step-by-step explanation:

Answer:

< 40, 28, 72 >

Step-by-step explanation:

Given

y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then

6y + 4z

= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >

Multiply each component by the scalar quantity

= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >

= < 12, 36, 48 > + < 28, - 8, 24 >

Add corresponding components

= < 12 + 28, 36 - 8, 48 + 24 >

= < 40, 28, 72 >

Answer:

We are given the path, y=-3x-6

The general form of the straight line is 'y=mx+b', where 'm' is the slope and 'b' is the y-intercept.

Thus, the slope of the given line is -3.

As, we have that the incipient path is perpendicular to the given path.

And, we ken that, 'Product of slopes of perpendicular lines is -1'.

Since, the incipient path passes through the point (-3,3). Superseding the values in the general form, we get,

b= 3+1

b= 4.

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

[tex]\frac{1}{6}[/tex](x+6)=11

[tex]\frac{1}{6}[/tex]x + 1 = 11

[tex]\frac{1}{6}[/tex]x +1 -1 = 11 -1

[tex]\frac{1}{6}[/tex]x * 6 = 10 *6

x = 60

To double check

[tex]\frac{1}{6}[/tex](60+6)=11

10+1 = 11

11 = 11

Answer:

61

Step-by-step explanation:

As we can see the triangles are congruent so

< F = < C ( being corresponding angles of congruent triangle)

< C = 29

Now

<A +<B + <C = 180° { being sum of angles of triangle }

5x + 1 + 90 + 29 = 180°

5x = 180° - 120°

5x = 60°

x = 12°

<A = 5 * 12° + 1 = 61°

Hope it will help :)

Answer:

300

Step-by-step explanation:

im smart

Answer:

x = 6

Step-by-step explanation:

To solve for x, do inverse operations on both sides of the equation:

x + 4 = 10

  - 4     - 4

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

x        = 6

x = 6

Answer:

6

Step-by-step explanation:

x + 4 = 10

6 + 4 = 10

Answer:

D) triangle

Step-by-step answer:

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

A three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.

Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

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Answer:

First Game: She wins

Second game: She loses

Third game: She loses

Step-by-step explanation:

If the graph go down she loses, if it goes up she win.

for example on the first try she won so she gets 1 point there is a dot at 1, for the second try she loses so she gets 0 points, the mean score which is (1+0)/2 is .5

on the third try she lost again so she gets another 0 point so (1+0+0)/3 = .33

and so on