72 = 2³ x 3²
150 = 2 × 3 × 5²
Work out the lowest common
multiple of 72 and 150, giving
your answer in prime factor form.

The value of x in the linear inequality -3(2x - 5) < 5(2 - x)  is x > 5 which shows an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

A system of linear inequalities in two variables includes at least two linear inequalities in the identical variables. When we solve linear inequality then we get an ordered pair. So basically, in a system, the solution to all inequalities and the graph of the linear inequality is the graph displaying all solutions of the system.

In the given inequality, we have -3(2x - 5) < 5(2 - x)

We can expand the graph and simplify

-3(2x - 5) < 5(2 - x)

-6x + 15 < 10 - 5x

15 - 10 < -5x  + 6x

5 < x

x > 5

This indicates that an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

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Answer:

2/45

Step-by-step explanation:

Given problem,

→ (4/9) - (4/10)

Let's solve the problem,

→ (4/9) - (4/10)

→ (40/90) - (36/90)

→ (40 - 36)/90

→ 4/90

→ 2/45

Hence, answer is 2/45.

The value of X is 67°.

Hence, The value of X is 67°.

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The complete question is:

Answer:

check image

Step-by-step explanation:

do the cross method for each one for example for the first one do 11x20 which equals 220 then divide that by 22 so 220/22 that gives you 10

Answer: $4

Step-by-step explanation:

75% = 3/4

If 4/4 = full price,

subtract 3/4

4/4 - 3/4 = 1/4 = 25% of the original price

25% = $1

75% = $3

$1 + $3 = $4

Hello,

I hope you and your family are doing well!

To find the total area of all four walls of the room, you need to find the area of each wall separately and then add them all together. The area of a wall is the product of its height and width.

The width of each wall is 50 meters, and the height of each wall is 10 meters, so the area of each wall is 50 * 10 = 500 square meters. There are four walls in the room, so the total area of all four walls is 500 * 4 = 2000 square meters.

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Happy Holidays!

Answer: 2200

Step-by-step explanation: I looked it up

If a < b, then multiplying both sides of the inequality by -4 will reverse the direction of the inequality. The resulting inequality will be:

-4a > -4b

This is because multiplying a negative number by a negative number results in a positive number, and multiplying a positive number by a negative number results in a negative number. Therefore, the inequality must be reversed when both sides are multiplied by a negative number.

The main advantage of the discussion forum is that it allows the exchange of information, the disadvantage is that it requires a very good organization.

The main advantages of this forum are:

The main disadvantages are:

Answer: The expression you provided is a quadratic function in the form of H(x) = ax^2 + bx + c, where a = -7, b = 10, and c = -5. The graph of this function is a parabola with the vertex located at x = -b/2a = -10/(-14) = 5/7. The y-coordinate of the vertex can be found by plugging the x-coordinate into the original function, giving us H(5/7) = (-7)(5/7)^2 + 10(5/7) - 5 = -5/7 + 25/7 - 5 = 0. This means that the vertex of the parabola is located at the point (5/7, 0). The general form of the quadratic function is H(x) = -7(x - 5/7)^2.

A = -x² + 20 is a quadratic function in standard form that depicts each area as a function of width.

A quadratic in mathematics is a particular kind of problem that involves squaring, or multiplying a variable by itself. This terminology comes from the fact that a square's area equals the product of its side length and itself. Quadratum, the Greek word meaning square, is where the word "quadratic" originates.

Now, give the x and y labels to the two sides.

We are aware that a rectangle's area is;

A = length * width

Thus;

A = xy

Given that she has 40 feet of fencing, the following follows:

y = 0.5(40) - x

y = 20 - x

Consequently, the area in the quadratic function formula is;

A = x(20 - x)

A = 20x - x²

A = -x² + 20

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Answer: x= 11/12

Step-by-step explanation:

-6(10x-10) - 5

-60x +60 - 5

-60x + 55

Subtract 55 on both sides

-60x = -55

x= 55/60

x= 11/12

Answer:

x = -8

y = -15

Step-by-step explanation:

-3x + y = 9

y = x - 7

-3x + x - 7 = 9

-2x - 7 = 9

-2x = 16

2x = -16

x = -8

y = -8 - 7

y = -15

Answer: 3√14 units

Step-by-step explanation:

Let the length of the other leg equal to x

Hence, according to Pythagoras' theorem

[tex]x^2+(9\sqrt{2} )^2=(12\sqrt{2})^2 \\\\x^2+9^2(\sqrt{2)^2}=12^2(\sqrt{2})^2\\\\x^2+81(2)=144(2)\\\\x^2+162=288\\\\x^2+162-162=288-162\\\\x^2=126[/tex]

Extract the square root of both parts of the equation:

[tex]x=\sqrt{126} \\\\x=\sqrt{9(14)} \\\\x=3\sqrt{14}\ units[/tex]

Step-by-step explanation:

-a/b is slope so here .on comapring slope is 3

after multiply by 2 ans. is 6

x Intercept is where it cut the x-axis so equation of line will have slope 6

X interceptor remain the same

The area of the figure is 50.24 units squared.

The figure above is a quarter of a circle. A circle divided into 4 equal parts is a quarter of a circle. Therefore, the area of the figure can be represented as follows:

Since, the figure is a quarter of a circle, the product of the area of a circle and 1 / 4 is the area of the figure.

Hence,

area of the figure = πr² / 4

where

Therefore,

r = 8

area of the figure =  3.14 × 8² ÷ 4

area of the figure =  3.14 × 64 × 1 / 4

area of the figure =  200.96 / 4

area of the figure = 50.24 units squared

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Point (6,2) is part of the function.

What are functions?

In mathematics, a function is a procedure that uniquely connects the value of one variable to the value of another variable (or variables).

Here, we have the plotted points as:

(0,3), (2,7), (3,1), (5,4), (7,6)

Assuming from the above, we get a sinusoid graph as below.

Now if we try to plot the provided points, we see that only (6,2) satisfies the curve.

Hence, (6,2) is a point that is part of the function.

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In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

The definition of univariable data is "one variable," and it is generally understood to be one sort of data. It is one of the straightforward methods for data analysis. The data in univariable data only include one variable.

The cat's weight, for instance, is 10, 15, 25, 27, 30, 35, and 40.

The variable is hence "Cat weight."

The definition of bivariate data is "Two Variable," and it essentially consists of two different forms of data. It is a straightforward type of statistical analysis.

Only one variable is analysed at a time in univariate statistics. Two variables are compared in bivariate statistics. Multiple variables are compared using multivariate statistics.

In a bivariate analysis, the correlations between the two variables are measured. When there are more than two variables in the data set, a more complicated statistical analysis technique called multivariate analysis is utilized.

Therefore,

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

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Answer:

it is 180

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

Don't worry. Yes, your grade will decrease but won't go to 0.

Answer: It all depends on how weighted your final exam is on your overall grade compared to other assignments.

The solutions of the quadratic equation  x² - 3x - 18 = 0 are

x = -3 and x = 6

What is Factorization method?

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

According to the given question:

The given quadratic equation is x² - 3x - 18

Applying factorization by splitting middle term method

x² - 3x - 18 = 0

x² - 6x + 3x - 18 = 0

Grouping the terms to get

x(x - 6) + 3(x - 6) = 0

(x + 3)(x - 6) = 0

Hence the solutions are x + 3 = 0 and x - 6 = 0

The solutions of the quadratic equation  x² - 3x - 18 = 0 are

x = -3 and x = 6

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Answer:

Hi!

The answer would be:

f(x)= 2x^3 - 7x^2 - 13x + 3

I hope this helped you! :)

The required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.

The expressions that have identical values are called to be equivalent expressions.

The expression is given in the question following as:

⇒ 3 + 2x − 9 − 4x + 11 + 5x − x

We have to determine the equivalent expression to the given expression

As per the question, we have

⇒ 3 + 2x − 9 − 4x + 11 + 5x − x

Combine the like terms together in the above expression,

⇒ 2x - 4x + 5x - x + 3 - 9 + 11

⇒ 2x  + 5

Thus, the required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.

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The value of the matrix multiplication A x B is matrix C

The value of B is   [tex]B = \begin{pmatrix}x\\ y\end{pmatrix} = \begin{pmatrix}8\\ 8\end{pmatrix}[/tex]

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

The number of shirts sold by club A = 2

The number of notebooks sold by club A = 3

The number of shirts sold by club B = 1

The number of notebooks sold by club B = 1

Now , the value of matrix A is

[tex]A = \begin{pmatrix}2&3\\ 1&1\end{pmatrix}[/tex]

The value of matrix B is

[tex]B = \begin{pmatrix}x\\ y\end{pmatrix}[/tex]

The product of matrix A and B will be C , and the value of matrix C is

[tex]C = \begin{pmatrix}40\\ 16\end{pmatrix}[/tex]

So , the equation is

A x B = C

Substituting the values in the equation , we get

[tex]\begin{pmatrix}2&3\\ 1&1\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}40\\ 16\end{pmatrix}[/tex]

On simplifying the equation , we get

[tex]\begin{pmatrix}2x+3y\\ x+y\end{pmatrix}=\begin{pmatrix}40\\ 16\end{pmatrix}[/tex]

So , the equations are

2x + 3y = 40   be equation (1)

x + y = 16   be equation (2)

Multiply equation (2) with 2 , we get

2x + 2y = 32   be equation (3)

Now , subtracting equation (3) from equation (1) , we get

y = 8

Substituting the value for y in equation (2) , we get

x + 8 = 16

Subtracting 8 on both sides of the equation , we get

x = 8

Therefore , the value of x is 8 and y is 8

Hence , the value of matrix B is   [tex]B = \begin{pmatrix}x\\ y\end{pmatrix} = \begin{pmatrix}8\\ 8\end{pmatrix}[/tex]

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Answer: 2.73 is the answer

Step-by-step explanation:

As an object's mass and the energy difference between it and the barrier's energy increase, the probability that it will tunnel through the barrier diminishes.

And although while the functionality shows that the wave function never fully hits zero, this explains why tunneling is common at the nanoscale but insignificant at the larger scale. The probability of tunneling declines exponentially with the square root of the mass of the particle (smaller particles may more easily tunnel through barriers than larger ones) and the barrier thickness.

Three requirements must be satisfied for a quantum particle to appreciably tunnel through a barrier ,

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The ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.

According to the question,

We have the following information:

0.4, 0.52, 0.81 and 0.43

Now, we know that in ascending order we order from the smallest to the largest.

Ascending order of the given numbers:

0.4, 0.43, 0.52 and 0.81

Now, the first number is 0.4.

Adding 2 to this number:

0.4+2

2.4

Subtracting the number from 5:

5-2.4

2.6

Now, multiplying it by 100:

2.6*100

260

Hence, the ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.

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Cuties and naval oranges are interchangeable, therefore when Cuties' price drops, more mandarin oranges will be consumed by consumers, increasing the demand for naval oranges .

As the Mandarin oranges are an alternative for navel oranges, a decrease in the price of Mandarin oranges will result in more people purchasing Mandarin oranges.

The Federal Water Pollution Control Act Amendments of 1972 were passed in response to growing public knowledge of and concern over water pollution (33 U.S.C. 1251 et seq.).

This law was modified in 1977 (P.L. 95-217), and as a result, it became known as the Clean Water Act (CWA).

Given constant levels of the other determinants—tastes, income, prices of related goods, expectations, and the number of buyers—the demand curve is defined as the relationship between the price of the good and the amount or quantity the consumer is willing and able to purchase in a given time period.

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Answer:

For every 3 tablespoons of cocoa, Nate uses 1 tablespoon of sugar.

Step-by-step explanation:

Since the sugar is halved, the cocoa should be halved as well. 6/2 is 3.