3 * 2x * 4
simplify

in my textbook answer is shown as 24x i need to know it is 24x
* represents multiply symbol

Answer:

1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x + 4y =-28

6x - 4y = -2               4y is the same in both equations so we add them

=> 10x= -30

x=-30/10

x=-3

sub x into any equation

4(-3) +4y =-28

-12 +4y = -28

4y = -28 + 12

4y = -16

y= -16/4

y= -4

check

4(-3) + 4 (-4) = -28                            therefore, x=-3  and y=-4

-12 -16 = -28

-28 = -28                                          

No

The first number is x and the second number is y. And there's no -11 on the x side of the table or 10 on the y side of the table.

For washing 2.7 loads capacity of clothes, 8.64 liters would be used.

What is capacity?

Capacity refers to the amount of laundry a washing machine can wash in one load. Capacity is always measured in the weight of the dry laundry.

Given, for 1 load of clothes      = 3.2 liters of water used.

           for 2.7 loads of clothes = 2.7*3.2 liters of water used.

                                                   = 8.64 liters of water used.

Hence, for 2.7 loads of clothes, 8.64 liters would be used.

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Answer:

x=7,-4

Step-by-step explanation:

The hypotenuse of the triangle is 30

What is a right angled triangle ?

A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.

The Pythagorean Theorem is

(adjacent side)² + (opposite side)² = (hypotenuse)²

Let x be the hypotenuse

adjacent side = 24

opposite side = 18

∴ The equation becomes

24² + 18² = x²

576 + 324 = x²

900 = x²

x = √900

x = 30

∴The value of hypotenuse is 30

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The coordinates of the midpoint of AB is (x, 3x+2).

Given:

A line segment has endpoints A(-2x+1,4x-3) and B(4x-1,2x+7) .

Midpoint of AB = (-2x+1+4x-1 / 2 , 4x-3+2x+7 / 2)

= (2x+1-1 / 2 , 6x+7-3 / 2)

= (2x+0 / 2 , 6x+4 / 2)

= (2x/2 , 6x+4 / 2)

= (x, 3x+2).

Therefore the coordinates of the midpoint of AB is (x, 3x+2).

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The answer is the last one D.

Answer: the answer is (D) eighteen and two hundred one thousandths

Step-by-step explanation:

The correct equation of the given line of the inequality is  [tex](\frac{1}{5})y+(\frac{9}{5})z=1[/tex], with the boundary line y = -9z+5.

A relationship between two expressions or values that are not equal to each other.

y=m x +c

m = slope of the line

c = the intercept

Since graph is given ,therefore the boundary line y=-9z+5 is represented by

⇒[tex]y+9z=5[/tex]

⇒[tex]0x+y+9z=5[/tex]

⇒[tex](\frac{0}{5})[/tex][tex]x+(\frac{1}{5})y+(\frac{9}{5})z = 1[/tex]

Thus x intercept is [tex]0[/tex],

        y intercept is [tex](\frac{1}{5})[/tex]

        z intercept is [tex](\frac{9}{5} )[/tex]

Hence , the correct equation of the given line of the inequality is :

⇒[tex](\frac{1}{5})y+(\frac{9}{5})z=1[/tex]

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The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations.

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.

The intersection or meeting points of the lines or planes used to illustrate the linear equations are known as the solutions. The set of values for each variable in a system of linear equations is referred to as the solution set. For instance, while resolving linear equations, one can construct two linear graphs and locate the point at which they cross to see how the system of simultaneous linear equations is resolved.

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The required measure of segment DF is 11.67 and segment KF is 9.

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

here,
According to the given conditions,
DE / KL = DF/FL = EF/KF
Substitute values in the above equation,
20/12 = DF/7 = 15/KF
Now,
DF / 7 = 20/12
DF = 11.67
Again
20/12 = 15/KF
KF = 9

Thus, the required measure of segment DF is 11.67, and segment KF is 9.

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The length of the guy wire, to the nearest foot is 64.140 feet.

Given:

Lavaughn places a 5-foot tall pole to support the guy wire. After placing the pole, Lavaughn measures the distance from the stake to the pole to be 3 ft.

He then measures the distance from the pole to the tower to be 30 ft.

Let Triangle ABC and CDE.

CD = 5 foot

DE = 3 feet

BD = 30 feet

Length of guy wire AE = x

AB/CD = BE/DE

AB/5 = 33/3

AB = 11*5

AB = 55

According to pythagorean theorem:

AE = [tex]\sqrt{AB^{2}+BE^{2} }[/tex]

= [tex]\sqrt{55 ^{2} +33^{2}[/tex]

= [tex]\sqrt{3025+1089}[/tex]

= [tex]\sqrt{4114}[/tex]

= 64.140 feet

Therefore the length of the guy wire to the nearest foot is 64.140 feet.

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The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a 90º clockwise rotation about the origin followed by a translation six units down.

The transformations are discovered building a relation between the vertices of the original triangle and of the transformed triangle.

The vertices of the original triangle ABC are given as follows:

A(-4,4), B(-8,2) and C(-6,-6).

The vertices of the transformed triangle A'B'C' are given as follows:

A'(4, -2), B'(2,2), and C'(-6,0).

Then the complete rule that describes the transformation is presented as follows:

(x,y) -> (y, -x-6).

The meaning of each transformation is given as follows:

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Brandon have to pay  $28.75 to buy 5 pounds of walnuts.

By problem;

Price per pound= $6.50

Quantity to be purchased = 5 pounds

Discount available= $3.75

Expression:- 6.50pp-3.75     (where pp is a variable for pounds of walnut)

Amount to be paid= 6.50 * 5 - 3.75

Amount to be paid  =$28.75

Therefore, Brandon has to pay $28.75 to purchase 5 pound of walnuts.

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The values of each trigonometric ratio are:

Trigonometry is a branch of mathematics. Ratios of sides in a right-angled triangle are known as Trigonometric ratios. There are six trigonometric ratios- sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec).

Let θ be the angle of the right-angled triangle then,

As per the given problems,

               ⇒   cos C = [tex]16/34[/tex]   (∵ cos θ = adjacent side/hypotenuse)

                                =  [tex]8/17[/tex]

    2. Problem (4)    

               ⇒    sin C = [tex]40/41[/tex]    (∵ sin θ = opposite side/hypotenuse)

    3. Problem (5)

               ⇒    tan Z = [tex]21/28[/tex]    (∵ tan θ = opposite side/hypotenuse)

                                = [tex]3/4[/tex]

Therefore, cos C = 8/17, sin C = 40/41, tan Z = 3/4.

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The value of each trigonometric ratio are cos c 8/17, sin c 40/41, tan z 3/4Trigonometry is a branch of mathematics. Ratios of sides in a right-angled triangle are known as Trigonometric ratios.

Trigonometry is a branch of mathematics. Ratios of sides in a right-angled triangle are known as Trigonometric ratios. There are six trigonometric ratios- sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec).

The values of each trigonometric ratio are:

cos C = 8/17

sin C = 40/41

tan Z = 3/4

Let θ be the angle of the right-angled triangle then,

sin θ = opposite side/hypotenuse   or   1/cos θ

cos θ = adjacent side/hypotenuse  or    1/sin θ

tan θ = opposite side/hypotenuse   or    sin θ/cos θ

As per the given problems,

Problem (3)

              ⇒   cos C =    (∵ cos θ = adjacent side/hypotenuse)

 2. Problem (4)    

              ⇒    sin C =     (∵ sin θ = opposite side/hypotenuse)

     3. Problem (5)

             ⇒    tan Z =     (∵ tan θ = opposite side/hypotenuse)

               Therefore, cos C = 8/17, sin C = 40/41, tan Z = 3/4.

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Answer:

The monomers are reacted to make prepolymers or a liquid, primitive macromolecule.

In the next step, the prepolymers are fed through a cell where it solidifies and attains the desired thickness. This process is called spinning.

Step-by-step explanation:

y - 4x = 5 ........(1)

1/2y = 1/6x - 4 .......(2)

y = 5 + 4x .......(3)

Substitute Eqn (3) in (1)

1/2 ( 5 + 4x) = 1/6x - 4

5/2 + 4x/2 = 1/6x - 4

5/2 + 2x = 1/6x - 4

Multiply through by 6

15 + 12x = x - 24

Collect like terms.

12x - x = -24 - 15

11x = - 39

x = -39/11

Substitute x into Eqn (1)

y - 4(-39/11) = 5

y + 156/11 = 5

y = 5 - 156/11

y = 55 - 156

----------

11

y = -101/11

.: x = -39/11 and y = -101/11

For a two-tailed test, the p-value is the probability of obtaining a value for the test statistic as

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

The first point is the p-value is the probability of obtaining a value for the test statistic at least as extreme as that provided by the sample

Second point is here

Confidence level = 0.95

So level of significance = 0.05

and the p-value = 0.09

Since the p-value is higher than the level of significance we do not reject the null hypothesis.

Hence the answer should not be rejected

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The decimal form of the fractions are:

0.26

1.05

0.68

0.13

1.73

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

On the other hand, a fraction is a number expressed as a quotient, in which the numerator is divided by the denominator.

The decimal form for each fraction is:

=> 1.3/5 = 0.26

=> 2.1/2 = 1.05

=> 3.4/5= 0.68

=> 4.3/33 = 0.13

=> 5.2/3 = 1.73

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The complete factorization of 2x² + 9x +4 is (2x+4)(x+1).

What is factorization?

Factorisation of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

Given,

the quadratic equation 2x² + 9x +4

Now, we will factorize this equation

=2x² + 9x +4

=2x² + 8x+x +4

=2x(x+4) + 1(x+4)

=(2x+1)(x+4)

Hence, The factors of 2x² + 9x +4 is (2x+4)(x+1)

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Area = 19.63cm²

A=πr2=π·2.52≈19.63495cm²

Answer:

No

Step-by-step explanation:

1 ) Since there is no x, the line is horizontal and has a slope of 0.

2 ) Knowing this we can go to 4 on the y-axis and draw a horizontal line that runs both through the negative and positive sides.

Take a look at the attachment...

Hope this helps! :)

Answer:

[tex]y = \frac{9}{2} x - \frac{7}{2} [/tex]

Step-by-step explanation:

[tex]m = \frac{28 - 10}{7 - 3} = \frac{18}{4} = \frac{9}{2} [/tex]

[tex]10 = \frac{9}{2} (3) + b[/tex]

[tex] \frac{20}{2} = \frac{27}{2} + b[/tex]

[tex]b = - \frac{7}{2} [/tex]

[tex]y = \frac{9}{2} x - \frac{7}{2} [/tex]

Answer: can’t be simplified

Step-by-step explanation:

The equation of the parabola passing through the points ​(​5,-11),(6,-12),(7,-11) is  y = x² - 12x - 24

Parabola:

Parabola refers  an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. And the fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

Given,

Here we have the following points:

​(​5,-11),(6,-12),(7,-11)

Now, we need to find the equation of the parabola.

We know that the standard form of the equation of parabola is

y = ax² + bx + c

Here we have to apply each point in order to get the equations,

First we have to take the point (5, -11), then we get the equation,

-11 = 25a + 5b + c ---------------------(1)

Then we have to take the point (6, -12), then we get the equation as,

-12 = 36a + 6b + c ------------------(2)

Finally, we have to take the point (7, -11), then we get

-11 = 49a + 7b + c ------------------------(3)

Now, we have to subtraction, equation (2) from equation (1), then we get,

-12 -(-11) = (36 - 25)a + (6 - 5)b + (c -c)

-1 = 11a + b ---------(4)

Similarly, we have to subtraction equation (3) from equation (2), then we get,

-11 - (-12) = (49 - 36)a + (7 - 6)b + (c-c)

1 = 13a + b -------------------(5)

Now, we have to subtract equation (5) from (4),

1 - (-1) = (13 -11) +(b - b)

2 = 2a

a = 1

If the value of a = 1, then the value of b is,

1 = 13 (1) + b

b = -12

So, the value of c is,

-11 = 25 (1) + 5(-12) + c

-11 = 25 - 60 + c

-11 = -35 + c

c = 24

Therefore, the equation of the parabola is y = x² - 12x - 24

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Answer:

1550

Step-by-step explanation:

3500*15% = 525 This is interest for one year

interest for 2 years will be 525 * 2 = 1050

total amount to pay will be 3500 + 1050 = 4550

cash payed = 3000

4550 - 3000 = 1550 price of watch

Answer:

impossible, it is very unlikely/ impossible if it is a 0.13 percent

The probability of 0.13 is very unlikely thus approx impossible thus option (B) will be correct.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

The probability scale ranges from 0 to 1.

0 → Impossible

0.5 → Equal likely

1 → Certain

The probability ranges between 0 and around 0.15 and can be considered impossible.

Hence "The probability of 0.13 is very unlikely thus approx impossible".

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Answer:

  131 ft

Step-by-step explanation:

You want the height of a building if two observations of its top separated by 60 vertical feet have angles of elevation of 48° and 31°.

Let x be the distance to the building at street level, and y be the height of the building. The tangent relation is ...

  Tan = Opposite/Adjacent

The first observation tells us ...

  tan(48°) = y/x

The second observation tells us ...

  tan(31°) = (y -60)/x

Solving each equation for x gives ...

  x = y/tan(48°)

  x = (y -60)/tan(31°)

The difference of these x-values is zero, so we have ...

  x - x = 0

  y/tan(48°) -(y -60)/tan(31°) = 0

  y(1/tan(48°) -1/tan(31°)) +60/tan(31°) = 0

Subtracting the constant and dividing by the coefficient of y, we get ...

  y = (60/tan(31°))/(1/tan(31°) -1/tan(48°)) = 60·tan(48°)/(tan(48°) -tan(31°))

  y ≈ 130.724

The height of the building is about 131 feet.