Multiply x(x^2+2x+4) and -2(x^2+2x+4)
Combine like terms:
Final answer:

Therefore, the measure of angle SQR is.   \(156-6y=26\)   degrees.

A triangle is a three-sided polygon, which means it is a flat shape with straight sides. Triangles are one of the basic shapes in geometry and can be identified by their three sides and three angles. The sum of the interior angles of a triangle is always 180 degrees, and there are various types of triangles based on their side lengths and angle measurements, including equilateral, isosceles, scalene, acute, obtuse, and right triangles. Triangles are used in many areas of mathematics and science, as well as in everyday life, such as in construction and design.

To find the measure of angle SQR, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Therefore:

Angle QRS + Angle RSQ + Angle SQR = 180

Substituting the given values, we get:

\((2y + 16) + (4y + 8) + Angle SQR = 180\)

Simplifying and solving for Angle SQR, we get:

\(Angle SQR = 180 - (2y + 16) - (4y + 8)\)

\(= 180 - 6y - 24\)

\(= 156 - 6y\)

\(= 26\)

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For the polynomials p(x) = 1 - x + 4x² and q(x) = x - x², (p, q) = 10, ||p|| = √18, ||a|| = √18, and d(p, q) cannot be determined. For the vectors u = (0, 2, 3) and v = (2, 3, 0), (u, v) = 6, ||u|| = √13, ||v|| = √13, and d(u, v) cannot be determined.

In the first scenario, we have p(x) = 1 - x + 4x² and q(x) = x - x². To find (p, q), we substitute the coefficients of p and q into the inner product formula:

(p, q) = (1)(0) + (-1)(2) + (4)(3) = 0 - 2 + 12 = 10.

To calculate ||p||, we use the formula ||p|| = √((p, p)), substituting the coefficients of p:

||p|| = √((1)(1) + (-1)(-1) + (4)(4)) = √(1 + 1 + 16) = √18.

For ||a||, we can use the same formula but with the coefficients of a:

||a|| = √((1)(1) + (-1)(-1) + (4)(4)) = √18.

Lastly, d(p, q) represents the distance between p and q, which can be calculated as d(p, q) = ||p - q||. However, the formula for this distance is not provided, so it cannot be determined. Moving on to the second scenario, we have u = (0, 2, 3) and v = (2, 3, 0). To find (u, v), we use the given inner product formula:

(u, v) = (0)(2) + (2)(3) + (3)(0) = 0 + 6 + 0 = 6.

To find ||u||, we use the formula ||u|| = √((u, u)), substituting the coefficients of u:

||u|| = √((0)(0) + (2)(2) + (3)(3)) = √(0 + 4 + 9) = √13.

Similarly, for ||v||, we use the formula with the coefficients of v:

||v|| = √((2)(2) + (3)(3) + (0)(0)) = √(4 + 9 + 0) = √13.

Unfortunately, the formula for d(u, v) is not provided, so we cannot determine the distance between u and v.

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The first equation, 3^x = 12, is an exponential equation. To solve for x, we would take the logarithm of both sides with base 3:

x = log3(12)

The second equation, x^3 = 12, is a polynomial equation of degree 3. To solve for x, we would take the cube root of both sides:

x = ∛12

The similarity between these two equations is that both are equations with one variable and are looking for the value of that variable.

The main difference between these two equations is the type of function they represent. The first equation is an exponential function, represented by 3^x, while the second equation is a polynomial function, represented by x^3.

As a result, the methods used to solve these equations are also different. The first equation is solved by taking the logarithm of both sides and the second equation is solved by taking the cube root of both sides.

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Answer:

Alternate interior angles are congruent, so 2x+5 = 3x -2.  X=7

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Because it is the answr

180 divided by 4.5 is 40. Therefore, your answer is 40! (Brainliest would be appreciated :D)

Answer: a

Step-by-step explanation: I did the test

Answer:

The total cost is $6.25

Step-by-step explanation:

3/4 of 1 kilo of rect

4/5 of 1 kilo of square

3/5 of 1 kilo of flower

rect = 3 per kilo

square = 3 per kilo

flower = 3 per kilo

First rectangle beads:

3x = y where x is number of kilos and y is full cost

3(3/4) = y

9/4 = y = 2 1/4 = $2.25

Second square beads:

3x = y where x is number of kilos and y is full cost

3(4/5) = y

12/5 = y = 2 2/5 = $2.20

Third flower beads:

3(x) = y where x is number of kilos and y is full cost

3(3/5) = y

9/5 = y = 1 4/5 = $1.80

Add costs together

1.80 + 2.20 + 2.25 = 6.25

The total cost is $6.25

Answer:

The graph could only move up and down from the origin but not left and right

Hope this helps!

Answer:

512

Step-by-step explanation:

when q = 2, w = 3

4q(q + 3w)^2

= 4(2) ((2)+3(3))^2

= 512

Answer: y = 5/9x + 32

Step-by-step explanation:

Answer:

y = -3x + 2

Step-by-step explanation:

Answer:

The slope between the points (-2, -1) and (4, 3) is \(\frac{3}{2}\)

Step-by-step explanation:

First, we must know the equation for finding the slope.

\(Slope(m) = \frac{y2-y1}{x2-x1}\)

Next, we plug in the coordinate points.

\(m=\frac{4-(-2)}{3-(-1)}\)

\(m=\frac{6}{4}\)

Finally, we simplify this answer.

\(Slope = \frac{3}{2}\)

Answer:

27

Step-by-step explanation:

i think

Step-by-step explanation:

\(your \: answer \: is \: option \: c \\ 11\)

Answer:

Sphere

Step-by-step explanation:

its a sphere with a radius of 5

The solid three dimensional image that is produced from the rotation of the semicircle is called a sphere.

This is used to define the movement of an object in a three dimensional plane around a fixed point.

This transformation os known to occur in a given point of the figure. The roataion is done at a certain degree.

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Answer:

divide both sides by 5

Step-by-step explanation:

y + 12 = 5

y = -7

A. Orient Paper Mill produces two grades of papers, X and Y. Due to raw material restrictions, the production of grade X is limited to 400 tonnes, and the production of grade Y is limited to 300 tonnes.

The statement indicates that there are limitations on the production of grades X and Y due to raw material constraints. This means that the total production of grade X cannot exceed 400 tonnes, and the total production of grade Y cannot exceed 300 tonnes.

These restrictions are likely in place to ensure the efficient use of raw materials and to manage the production capacity of the mill. By setting these limitations, the mill can control the balance between the production of different paper grades based on factors such as market demand, availability of raw materials, and production capabilities.

Overall, these restrictions serve as guidelines for the mill to optimize its production processes and allocate resources effectively while considering the constraints imposed by the availability of raw materials.

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The two equations that represent circles with a diameter of 12 units and a center that lies on the y-axis are:

(x - 4)² + y² = 36

(x + 6)² + y² = 144

(x - 4)² + y² = 36:

This equation represents a circle with center (4, 0) since the x-coordinate of the center is 4, indicating it lies on the y-axis. The radius of this circle is √36 = 6 units. Therefore, it satisfies the given conditions.

(x + 6)² + y² = 144:

This equation represents a circle with center (-6, 0) since the x-coordinate of the center is -6, indicating it lies on the y-axis. The radius of this circle is √144 = 12 units. Hence, it also satisfies the given conditions.

x² + (y - 3)² = 36:

This equation represents a circle with center (0, 3) since the y-coordinate of the center is 3, indicating it does not lie on the y-axis. Therefore, it does not meet the given conditions.

x² + (y + 8)² = 36:

This equation represents a circle with center (0, -8) since the y-coordinate of the center is -8, indicating it does not lie on the y-axis. Thus, it does not fulfill the given conditions.

x² + (y - 5)² = 6:

This equation represents a circle with center (0, 5) since the y-coordinate of the center is 5, indicating it does not lie on the y-axis. Hence, it does not meet the given conditions.

Based on this analysis, the equations that represent circles with a diameter of 12 units and a center that lies on the y-axis are options 1 and 2:

(x - 4)² + y² = 36

(x + 6)² + y² = 144.

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\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{47.5\% of 1600}}{\left( \cfrac{47.5}{100} \right)1600}\implies 760~\hfill \underset{ females }{\stackrel{1600~~ - ~~760 }{\text{\LARGE 840}}}\)

Answer:

a = -4, 5

Step-by-step explanation:

You're looking to find points whose limits are equal to -4, which means that they must fufill two requirements:

Additionally, if a point is simply equal to -4, the limit will also be equal to -4.

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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26400 is what they travel in feet in a day divide that by 24 and that should be your answer

Answer:

192 cm^3

Step-by-step explanation:

Volume equals Area of the base times the height divided by three.

V = length * width * height

                      3

V = 8 * 6 * 12   =   192 cm^3

           3

Question: Write the system of linear equations represented by the augmented matrix to the right use W, X, Y and Z for the variables :

Solution:

An augmented matrix is equivalent to a system of linear equations. In this case, the given matrix is represented by the following system of linear equations:

-1 w - 3x +5y +2z = 13

0w + 1x + 3y + 0z = 10

0w + 0x +y - 1z = 3

1w - 3x + 0y + 0z = -2

this is equivalent to:

w - 3x +5y +2z = 13

x + 3y = 10

y - z = 3

1w - 3x = -2

So that, the correct answer is:

w - 3x +5y +2z = 13

x + 3y = 10

y - z = 3

1w - 3x = -2

Answer:

Step-by-step explanation:

3x^4-25x^2-18=0

X= -3

Alexander stacked  16 unit cubes required to build the rectangular prism.

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

Here we need to find the number of cubes required to build the rectangular prism.

Here first we need to find how many cubes stack in the base layer

Number of unit cubes in the base layer = Number of cubes along the length * Number of cubes along the width

The number of unit cubes in the base layer = 2 * 4 = 8 cubes.

Total number of unit cubes in prism =Number of unit cubes in the base layer *Number of layers = 8 * 2 = 16 unit cubes

So, there are 16 unit cubes are required to build the rectangular prism.

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Complete question :

Alexander stacked unit cubes to build the rectangular prism below. Use the rectangular prism to answer​ the question.

How many cubes are required to build the rectangular prism?

No, it is not possible for a square matrix with two identical columns to be invertible.

In order for a square matrix to be invertible, it must have full rank. This means that its columns (or rows) must be linearly independent. If two columns of a square matrix are identical, it means that they are linearly dependent, and the matrix does not have full rank.

When a matrix does not have full rank, it means that there exists a nontrivial solution to the homogeneous equation \(Ax = 0\), where \(A\) is the matrix and \(x\) is a nonzero vector. This indicates that there are multiple ways to combine the columns (or rows) of the matrix to obtain the zero vector.

The invertibility of a matrix is closely related to the existence of a unique solution to the equation \(Ax = b\), where \(b\) is a nonzero vector. If a matrix is not invertible, it means that there are multiple solutions or no solution to this equation, depending on the specific \(b\) vector.

Therefore, if a square matrix has two identical columns, it cannot have full rank and is not invertible.

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