What is the value of K? k=___​

Answer:

(4 x + 9) (16 x^2 - 36 x + 81)

Step-by-step explanation:

Factor the following:

64 x^3 + 729

64 x^3 + 729 = (4 x)^3 + 9^3:

(4 x)^3 + 9^3

Factor the sum of two cubes. (4 x)^3 + 9^3 = (4 x + 9) ((4 x)^2 - (4 x) 9 + 9^2):

(4 x + 9) ((4 x)^2 - 4 9 x + 9^2)

4×9 = 36:

(4 x + 9) ((4 x)^2 - 36 x + 9^2)

Multiply each exponent in 4 x by 2:

(4 x + 9) (4^2 x^2 - 36 x + 9^2)

4^2 = 16:

(4 x + 9) (16 x^2 - 36 x + 9^2)

9^2 = 81:

Answer: (4 x + 9) (16 x^2 - 36 x + 81)

Answer:

(4x+9)(16x2−36x+81)

Step-by-step explanation:

Factor 64x3+729

64x3+729

=(4x+9)(16x2−36x+81)

the answer is  

In AKLM, the measure of ZM=90°

Answer:

 5y = -2x + 31

Step-by-step explanation:

Given equation:

      y = [tex]\frac{5}{2} x + 3[/tex]

Coordinate  = (-7,9)

Unknown:

Equation of the line perpendicular  = ?

Solution:

The slope - intercept format of a line is given as;

      y = mx + c

where y and x are the coordinates

           m is the slope

           c is the y-intercept

y = [tex]\frac{5}{2} x + 3[/tex]

 From the given equation; slope is [tex]\frac{5}{2}[/tex]

A line perpendicular will have a slope that is negative and the inverse of this;

      slope of perpendicular line  = [tex]-\frac{2}{5}[/tex]

Since y= 9 and x = -7;

  So;

            9 = [tex]\frac{-2}{5} x (-7)[/tex] + C

            9 = [tex]\frac{14}{5}[/tex] + C

           C  = 9 - [tex]\frac{14}{5}[/tex]   = [tex]\frac{31}{5}[/tex]

Now,

       y  =  [tex]-\frac{2}{5}[/tex]x +  [tex]\frac{31}{5}[/tex]

mulitply through by 5;

     5y = -2x + 31

Answer:

[tex]-5<x<2[/tex]

Step-by-step explanation:

We have the inequality:

[tex]|2x+3|<7[/tex]

Use the definition of absolute value:

[tex](2x+3)<7\text{ or } -(2x+3)<7[/tex]

Let's evaluate each case individually.

Case 1)

We have:

[tex]2x+3<7[/tex]

Subtract 3 from both sides:

[tex]2x<4[/tex]

Divide both sides by 2:

[tex]x<2\\[/tex]

Case 2)

We have:

[tex]-(2x+3)<7[/tex]

Divide both sides by -1. Since we're dividing by a negative, flip our sign:

[tex]2x+3<-7[/tex]

Subtract 3 from both sides:

[tex]2x<-10[/tex]

Divide both sides by 2:

[tex]x<-5[/tex]

So, our solutions are, from least to greatest:

[tex]\{x|-5, 2\}[/tex]

We can see that our inequality is a greater than.

Remember, when dealing with absolute value:

When our sign is greater than (or equal to), our solution is an "or" inequality with our solutions being all values less than our lesser solution or all values greater than our greater solution.

When our sign is less than (or equal to), our solution is an "and" inequality with our solution being between our two solutions.

Since our inequality is a less than, our solution is all the values between our lesser solution and our greater solution.

Our lesser solution is -5. Our greater solution is 2.

So, the solution to the inequality is all values between -5 and 2. As a compound inequality, this is:

[tex]-5<x<2[/tex]

And we're done!

Answer:

The answer is Division property of equality

Step-by-step explanation:

Answer:

division property of equality

Step-by-step explanation:

Just took the test on edge

Answer:

9

Step-by-step explanation:

hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.

The degree of the given polynomial is 9

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here; a polynomial function with leading term 8x⁹

Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading  term 8x⁹ is 9

Hence, The degree of the given polynomial is 9

Learn more about polynomial expressions here:

https://brainly.com/question/11536910

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Answer:

y=x-5

Step-by-step explanation:

For this, use point-slope formula, which is (y-y1)=k(x-x1), in which k is slope.

Now, substitute in your values. (y-2)=1(x-7)

Then, since you got y-2=x-7, add 2 to both sides.

You get y=x-5

y = x +5  is the equation of the line that passes through the point (7,2) and has a slope of 1.

The equation of a straight line is y=mx+c where m is the gradient and c is the height at which the line crosses the y -axis, also known as the y-intercept. There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

given, a line that passes through the point (7,2) and has a slope of 1

Since the Slope of the line = 1

From the slope-intercept form of the line

y = mx + c

thus, the Equation of the line

y = 1 * x + c

y = x + c

Since this line passes through coordinates (7, 2 ) this point will satisfy the equation

7 = 2 + c

c = 5

hence, the equation of a line

y = x +5

therefore, the equation of the line that passes through the point (7,2) and has a slope of 1 is y = x +5.

Learn more about the equation of line here:

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Answer:

328

Step-by-step explanation:

[tex]\frac{a}{1-r}[/tex] is the equation for the sum of an infinite geometric series, where [tex]a[/tex] is the first term of the infinite geometric series, and r is the common ratio between the terms. Here, we can find the common ratio between any consecutive terms. [tex]\frac{209.92}{262.4} = \frac{4}{5}[/tex]

Therefore, [tex]\frac{a}{1-\frac{4}{5}} = 1640[/tex].

This simplifies to [tex]5a = 1640[/tex]

Therefore, [tex]a = 328[/tex]

Answer: I cant understand what you want think you could put it in English?

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that the  expression for the perimeter is given as

P=2l+2B

now given that the value of the width is =2x

length= 4x

and the breadth=y

P=4x+2y

let us multiply both the length and the width with 2x we have

P=2x(4x+2y)

P=8x^2+4xy

the answer is

D. 8x^2+4xy

I think the answer is

22.5 meter

it is because 7.5 meter ×4=30m

so 7.5+7.5+7.5=22.5 m

Answer:

275 * 0.03 = accrued interest

accrued interest + initial deposit = total after one year

Step-by-step explanation:

The answer is 17/4 feel free to mark as brainliest:)

Given :

The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.

Guitar lessons have a one-time fee of $36 plus $8 for each lesson.

To Find :

After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.

Solution :

Mathematical expression of piano lesson :

[tex]P_1=26+10x[/tex]

Mathematical expression of guitar lesson :

[tex]P_2=36+8y[/tex]

( Here, x and y are number of lessons )

Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.

Now, given constraint :

[tex]P_1 \geq P_2\\\\26+10t \geq 36+8t\\\\2t \geq 10\\\\t\geq 5[/tex]

Hence, this is the required solution.

Answer:

22.9

Explanation:

Answer:

0.3 is a Rational Number

Step-by-step explanation:

fourty four percent hope this helps !

Answer:

The greatest number of packets the teacher can make with no items left over is 23.

Step-by-step explanation:

Total number of crayons = 92

Total number of sheets of paper = 23

To find the greatest number of packets the teacher can make with no items left over, find Highest Common Factor (H.C.F) of 92 and 23

92 = [tex]2^2[/tex] × 23

23 = 23

So,

H.C.F(92,23) = 23

Therefore, the greatest number of packets the teacher can make with no items left over is 23.

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1) [/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-3, -1) and slope 2

The equation is

Hope this helps you

Answer:

Option (4)

Step-by-step explanation:

Table for the points from the graph attached,

      x           y        [tex]x^{2}[/tex]            [tex]y^{2}[/tex]            xy

    2.2       1.8       4.84        3.24       3.96

    3.2       1.8       10.24       3.24       5.76

    3.6        3        12.96         9           10.8

    4.8       3.5      23.04      12.25      16.8

    5.2       6.2      27.04      38.44      32.24

    6.4       4.5      40.96      20.25     28.8

    7.5       7.8       56.25     60.84      58.5

    8.5       6.2      72.25      38.44      52.7

[tex]\sum x=41.4[/tex]

[tex]\sum y=34.8[/tex]

[tex]\sum x^2=247.58[/tex]

[tex]\sum y^2=185.7[/tex]

[tex]\sum xy=209.56[/tex]

n = 8

Formula for the correlation coefficient  [tex]r=\frac{n\sum xy-(\sum x)(\sum y)}{\sqrt{[{n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}}[/tex]

[tex]r=\frac{8(209.56)-(41.4)(34.8)}{\sqrt{[{8(247.58)-(41.4)^2][8(185.7)-(34.8)^2]}}}[/tex]

r = [tex]\frac{1676.48-1440.72}{\sqrt{266.52\times 274.56} }[/tex]

r = [tex]\frac{235.76}{\sqrt{73175.73}}[/tex]

r = [tex]\frac{235.76}{270.51}[/tex]

r = 0.87

r ≈ 0.9

Therefore, Option (4) is the answer.

Answer:

Step-by-step explanation:

a) Si se suman las probabilidades de venta, es decir:

Probabildad de vender 0 auto ( es decir que no vendió) = 0,19

Probabildad de vender 1 auto                                              = 0,38

Probabildad de vender 2 autos                                            = 0,29

Probabildad de vender 3 autos                                            =0,15

Da por resultado:  1,01

1,01 > 1  

Ninguna probabilidad puede ser mayor que

b) LLover y no llover son condiciones excluyentes en relación al evento, es decir en relación a lluvia cualquier día o llueve o no llueve de tal forma

que las dos situaciones conforman el universo completo y deben sumar 1. en este caso el error s que suman 0.92 cando deberían sumar 1

c) No existen probabilidades negativas ( en este caso señalan -0,25 como una probabilidad

d) La probabilidad de sacar una carta de corazones es 1/4 (correcta pues hay la misma cantidad de carta de las cuatro viras  tipo ( diamante, trebo, corazones y el otro).

La mitad de las cartas son negras, de tal modo que 1/2 es correcto valor para esta probabilidad.

La probabilidad de que sea corazones y negra s 1/4*1/2  = 1/8

Luego no hay error en esta aseveración

Answer:

That is true not false dont get confused

Answer:

y = -3x - 11

Step-by-step explanation:

Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.

Point-slope formula: y - y = m(x - x)

Plug in the slope and point

y - (-5) = -3(x - (-2))

Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.

y + 5 = -3x - 6

Subtract the 5 from both sides

y = -3x - 11

The equation of the line is y = -3x - 11

Answer:

What’s the question?

Step-by-step explanation:

Answer:

The phenomenon by which the colloidal particles scatter light is called Tyndall effect. If light is passed through a colloid the light is scattered by the larger colloidal particles and the, beam becomes visible. This effect is called Tyndall effect.