the median of 2,8,6,10,4,12​

In this question, we want to find the average rate of change of a function over an interval, it represents by how much f(x) changes when x changes by 1.

Average rate of change:

The average rate of change of a function over an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]f(x) = 2x^3 + 4[/tex]

Between x = 4 and x = 6, so [tex]a = 4, b = 6[/tex]. Then

[tex]f(a) = f(4) = 2*4^3 + 4 = 132[/tex]

[tex]f(b) = f(6) = 2*6^3 + 4 = 436[/tex]

Then

[tex]A = \frac{436 - 132}{6 - 4} = 152[/tex]

Thus, the average rate of change of the function is of 152, that is, when x changes by 1, y changes by 152.

For another problem involving an average rate of change, you can check https://brainly.com/question/14481908

composite numbers less than 12={1,3,4,6,8,9,10}

Answer:

31.5 m

Step-by-step explanation:

Let w represent the width of the pool.

Since the length is 15 m greater than the width, it can be represented by w + 15.

Use the perimeter formula, p = 2l + 2w. Plug in the perimeter, and w + 15 as l into the formula:

p = 2l + 2w

96 = 2(w + 15) + 2w

96 = 2w + 30 + 2w

96 = 4w + 30

66 = 4w

16.5 = w

So, the width of the pool is 16.5 m. Add 15 to this to find the length:

16.5 + 15

= 31.5

The length of the pool is 31.5 m

Let the width be w

Length = w + 15

Now

Perimeter = 2(l + w)

96 = 2(w + 15 + w)

96/2 = w + 15 + w

48 = 2w + 15

48 - 15 = 2w

33 = 2w

33/2 = w

16.5 = w

Then,

Length = w + 15

Length = 16.5 + 15

Length = 31.5 m

[tex] \\ [/tex]

Answer:

We have, sinx+sin3x+sin5x=0

∴(sinx+sin5x)+sin3x=0

∴2sin(

2

x+5x

)cos(

2

5x−x

)+sin3x=0

∴2sin3xcos2x+sin3x=0

∴sin3x(2cos2x+1)=0

Either sin3x=0 or 2cos2x+1=0

i.e. sin3x=0 or cos2x=−

2

1

Now, cos2x=−cos

3

π

∴cos2x=cos(π−

3

π

)

∴cos2x=cos

3

2π

∴sin3x=0 or cos2x=cos

3

2π

3x=nπ,n∈Z or 2x=2mπ±

3

2π

where m∈Z

Hence, x=

3

nπ

or x=mπ±

3

π

, where n,m∈Z.

Answer:

I say it's a

Step-by-step explanation:

I hope this help

Answer:

i had the same question myself

Step-by-step explanation:

I need help also

Answer:

x=5

Step-by-step explanation:

-2(-3+ x) = -4

Distribute

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

6 -2x = -4

Subtract 6 from each side

6 -2x-6 = -4-6

-2x = -10

Divide each side by -2

-2x/-2 = -10/-2

x = 5

Answer:

5

Step-by-step explanation:

-2(-3+x)=-4

Use distributive property (Multiply -2 by -3 which gives you 6vand multiply -2 by x which gives you -2x )

6-2x=-4

Bring the 6 over to the other side

-2x=-4-6

-2x=-10

Divide both sides by -2 to get x by itself

x=5

9514 1404 393

Answer:

  20 +2√10 ≈ 26.3 units

Step-by-step explanation:

Length AB is given as 10 units. Length AC is given as 2√10 ≈ 6.325 units. The length BC is the difference of the x-coordinates of its end points, since they are on a horizontal line: 5 -(-5) = 10 units.

The perimeter is the sum of the lengths of the sides of the triangle.

  P  = AB +AC +BC = 10 +2√10 +10 = 20 +2√10 ≈ 26.3 . . . units

Answer:

x + 2

Step-by-step explanation:

[tex]\frac{5x+10}{x^2 -x-6}[/tex] = [tex]\frac{5(x+2)}{(x-3)(x+2)}[/tex]

GCF ( 5x + 10, x² - x - 6) = x + 2

Step-by-step explanation:

5(x+2)/(x+2)(x-3)= 5/(x-3)

GCF: x+2

Answer:

25%

Step-by-step explanation:

let the MP be x

sp without vat =x-16%of x

= 21x/25

sp with VAT = 21x/25 +13% of 21x/25

rs 9492 = 2373x/2500

( 9492*2500)/2373=x

x = 10000

cp = ((21x/25 )*100)/100+5 ( 5= profit percent )

=8000

(10000-8000)×100%/8000

=25%

Answer:

(x + 5)(x + 5)

Step-by-step explanation:

[tex]x^2+10x+25\\(x+5)(x+5)[/tex]

Answer:

(x+5)(x+5)

Step-by-step explanation:

x²+10x+25

x²+5x+5x+25    

x(x+5)+5(x+5)            

(x+5)(x+5)

Answer: Pretty sure that it's y=-5/3x+8

Step-by-step explanation: Since the slope-intercept form is y=mx+b with b as the y-intercept and m as the slope. b would be 8 since that's where the line intercepts the y-axis and the slope is -5/3 (negative bc the line is slanted down)

Answer:

y = - [tex]\frac{8}{5}[/tex] x + 8

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 the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (5, 0 ) ← 2 points on the line

m = [tex]\frac{0-8}{5-0}[/tex] = [tex]\frac{-8}{5}[/tex] = - [tex]\frac{8}{5}[/tex]

The line crosses the y- axis at (0, 8 ) ⇒ c = 8

y = - [tex]\frac{8}{5}[/tex] x + 8 ← equation of line

Answer:

Where is the picture of the triangle?

Answer:

m(∠C) = 18°

Step-by-step explanation:

From the picture attached,

m(arc BD) = 20°

m(arc DE) = 104°

Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.

m(∠C) = [tex]\frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}][/tex]

Since, AB is a diameter,

m(arc BD) + m(arc DE) + m(arc EA) = 180°

20° + 104° + m(arc EA) = 180°

124° + m(arc EA) = 180°

m(arc EA) = 56°

Therefore, m(∠C) = [tex]\frac{1}{2}(56^{\circ}-20^{\circ})[/tex]

m(∠C) = 18°

Step-by-step explanation:

let the common ratio be r

(x-6)r=(x-2)

(x-2)r=(x+10)

r = (x-2)/(x-6)

and r = (x+10)/(x-2)

so, (x-2)/(x-6)=(x+10)/(x-2)

sloving it, you'll get x=8

so the value of x is 8

Answer:

alright I can help!

for 20: let's first say the equation to figure out if it is a right triangle (the pythagorean theorem). so a^2 + b^2 = c^2 -> 2^2 + 2^2 =3^2 -> 4+4=9 does not equal out so 20 is not a right triangle.

for 27: the equation for area is (height×base)/2 -> (2×4)/2 -> area = 4

for 29: so let's find the circumference first. the equation is 2× pi × r -> 2× pi × 5 -> circumference = 10pi or about 31.42.

so now we can find the area of the circle. the equation is pi × r^2 -> pi × 5^2 -> area of circle= 25pi or about 78.54

hope this helps!! best wishes and best of luck!

Answer:

The answer for this question is C

Answer:

A

Step-by-step explanation:

The tangent- tangent angle x is half the difference of the measures of the intercepted arcs.

minor arc = 360° - 254° = 106° , then

x = [tex]\frac{1}{2}[/tex] (254 - 106)° = [tex]\frac{1}{2}[/tex] × 148° = 74° → A

The value of angle x will be 74°. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

We know that the sum of the minor arc and major arc made by a tangent in a circle will be 360 degrees.

Then the measure of the minor arc will be

⇒ 360° - 254°

⇒ 106°

We know that the angle made by the tangent is half of the major arc to the minor arc.

x = (254° - 106°) / 2

x = 148° / 2

x = 74°

The value of angle x will be 74°.

Then the correct option is A.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

Answer:

3,-1

Step-by-step explanation:

The image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).

The given coordinate point is (-1, 3).

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.

The point (-1, 3) is rotated 270° counterclockwise about the origin becomes (3, -1).

Therefore, the image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).

To learn more about the rotation of 270° counterclockwise visit:

brainly.com/question/9109065.

#SPJ2

Answer:

A

Step-by-step explanation:

Answer:

[tex]$2\left(1-\frac{1}{2}\right)+3\left(1-\frac{1}{3}\right)+4\left(1-\frac{1}{4}\right)+\ldots+10\left(1-\frac{1}{10}\right)=?$[/tex]

[tex]2(\frac{2}{2} -\frac{1}{2} )+3(\frac{3}{3} -\frac{1}{3} )+4(\frac{4}{4} -\frac{1}{4} )+5(\frac{5}{5} -\frac{1}{5} )+6(\frac{6}{6}-\frac{1}{6} )+7(\frac{7}{7}-\frac{1}{7} )+8(\frac{8}{8} -\frac{1}{8} )+9(\frac{9}{9} -\frac{1}{9} )+10(\frac{10}{10} -\frac{1}{10} )\\\\=2(\frac{1}{2}) +3(\frac{2}{3})+4(\frac{3}{4})+5(\frac{4}{5}) +6(\frac{5}{6}) +7(\frac{6}{7}) +8(\frac{7}{8}) +9(\frac{8}{9}) +10(\frac{9}{10})\\\\=1+2+3+4+5+6+7+8+9\\\\=45[/tex]

Answer:

F

Step-by-step explanation:

Area of sector=pi*r^2*(theta/360) = pi*r^2*(45/360)

18*pi=pi*r^2*(1/8), r=12. Circumference is 24*pi

Answer:

A. The data set has an outlier

Step-by-step explanation:

The data set has an outlier because 100 is the largest number of the set.

Answer:

option b

Step-by-step explanation:

hi  

x²-25 =  (x+5)  ( x-5)  

As a multiplication can only add up to zero if one of term is  0 ,

there is two solutions  :  

x+5 = 0

x = -5  

and   x-5 = 0

        x = 5  

So two solutions for  x² -25 = 0  which are   -5  and 5

Answer:

A, E or 1, 5

Step-by-step explanation:

Its not A, D

Answer:

x is less than or equal to 1 can also be written as x ≤ 1. The ≤ sign represents "less than or equal to"

Let me know if this helps!

the answer is 1,102.5, to find the area of a triangle you need to multiply LxWxB/2

Answer:

I don't know search it up I picked B

okay it's 5 and I'm

Answer: [tex]y=\frac{3}{4}x+3[/tex]

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.

[tex]y=\frac{3}{4}x+b[/tex]          [plug in (8,9)]

[tex]9=\frac{3}{4}(8)+b[/tex]       [multiply]

[tex]9=6+b[/tex]            [subtract both sides by 6]

[tex]b=3[/tex]

Now that we have b, we can complete the equation to [tex]y=\frac{3}{4}x+3[/tex].