find the vector =⟨1,2⟩ of length 2 in the direction opposite to =4−13.

Answer: Multiplying both sides of the original equation by 100 gives the same

the solution as follows;

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

Step-by-step explanation:

Answer:

The height of the drawing should be: 8.5 cm

Step-by-step explanation:

Use the proportion given by the scale in order to find the height "h" that you need to draw:

\(\frac{30}{1} =\frac{255}{h} \\30=\frac{255}{h}\\30\,h=255\\h=\frac{255}{30}\\ h=8.5\,\,cm\)

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

The expression 3√64¹2 can be rewritten as 3 times the cube root of 64 to the power of 12.

To simplify this expression, we start by finding the cube root of 64, which is 4. The cube root of a number is the value that, when multiplied by itself twice, gives the original number. In this case, 4 * 4 * 4 = 64.

Next, we raise 4 to the power of 12, which means multiplying 4 by itself 12 times. This results in a large number.

Finally, we multiply the result by 3 to get the final expression. The equivalent expression is:

3 * (4^12)

Now, we can evaluate the expression by calculating 4 raised to the power of 12:

4^12 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 16,777,216

Finally, we multiply the result by 3:

3 * 16,777,216 = 50,331,648

Therefore, the expression 3√64¹2 is equivalent to 50,331,648.

The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

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Answer:

ᴀꜱ ᴡᴀʀᴍ ᴀꜱ ꜱᴜɴ

ᴀꜱ ꜱɪʟʟʏ ᴀꜱ ꜰᴜɴ

ᴀꜱ ᴄᴏʟᴅ ❄️ ᴀꜱ ᴀ ᴛʀᴇᴇ

ᴀꜱ ꜱᴄᴀʀʏ ᴀꜱ ꜱᴇᴀ

ᴀꜱ ʜᴏᴛ ᴀꜱ ꜰɪʀᴇ

ᴀꜱ ᴄᴏʟᴅ ᴀꜱ ɪᴄᴇ

ꜱᴡᴇᴇᴛ ᴀꜱ ꜱᴜɢᴀʀ

ᴀɴᴅ ᴇᴠᴇʀʏᴛʜɪɴɢ ɴɪᴄᴇ

ᴀꜱ ᴏʟᴅ ᴀꜱ ᴛɪᴍᴇ ⌛

ᴀꜱ ꜱᴛʀᴀɪɢʜᴛ ᴀꜱ ʟɪɴᴇ ➖

ᴀꜱ ʀᴏʏᴀʟ ᴀꜱ ᴀ ᴀɴɢᴇʟ☺️

ᴀꜱ ʙᴜᴢᴢᴇᴅ ᴀꜱ ʙᴇᴇ

ᴀꜱ ꜱᴛᴇᴀʟᴛʜ ᴀꜱ ᴛɪɢᴇʀ

ꜱᴍᴏᴏᴛʜ ᴀꜱ ɢʟɪᴅᴇʀ

ᴘᴜʀᴇ ᴀꜱ ʜᴇᴀʀᴛ ❤️

ᴘᴜʀᴇ ᴀꜱ ɪ ᴡᴀɴɴᴀ ʙᴇ

Answer:

w=5, -1

Step-by-step explanation:

added in the picture

Answer:

Matrices are a useful way to represent, manipulate and study linear maps between finite-dimensional vector spaces (if you have chosen basis).

Matrices can also represent quadratic forms (it's useful, for example, in analysis to study hessian matrices, which help us to study the behavior of critical points).

The graph G can be represented by the shorthand notation G = (V, E), where V is the set of vertices and E is the set of edges.

To write the mathematical description of G4 in terms of (V, E), we need to consider the graph G with four iterations. It can be denoted as G4 = (V4, E4), where V4 is the set of vertices in the fourth iteration and E4 is the set of edges in the fourth iteration.

The adjacency matrix A of graph G represents the connections between vertices. It is a square matrix where the entry A[i][j] is 1 if there is an edge between vertices i and j, and 0 otherwise.

To calculate  \(A^2\), we need to multiply the adjacency matrix A with itself. The resulting matrix represents the number of paths of length 2 between vertices.

To find the number of paths of length 2 from vertex 0 to vertex 1, we can look at the entry  \(A^2\)[0][1]. The value of this entry indicates the number of paths of length 2 from vertex 0 to vertex 1. Similarly, we can determine the number of paths of length 2 from vertex 0 to vertex 2 by examining the entry  \(A^2\)[0][2].

In summary, the shorthand notation for the graph G is G = (V, E). The mathematical description of G4 is G4 = (V4, E4). The adjacency matrix A represents the connections between vertices in G. To calculate \(A^2\), we multiply A with itself. The number of paths of length 2 from vertex 0 to vertex 1 is determined by the entry  \(A^2\)[0][1], and the number of paths of length 2 from vertex 0 to vertex 2 is determined by the entry \(A^2\)[0][2].

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Answer:

1125.5

Step-by-step explanation:

24 + 0.3( 24 + 21) + 24 + 8 = 24.3 (45) + 32

= 24.3 x 45 + 32

= 1093.5 + 32

= 1125.5

Answer:

69.5

Step-by-step explanation:

desculpa se não estiver certo em matemática mais previso ajudar meu irmão então peguei a resposta no

The financial advantage (disadvantage) of further processing Product A is $3,500.

To determine the financial advantage (disadvantage) of further processing Product A, we need to compare the revenues and costs associated with two alternatives: selling Product A at the split-off point or processing it further.

Selling at the split-off point:

The allocated joint costs for Product A are $24,000 out of the total joint costs of $48,000. Therefore, the remaining $24,000 of joint costs is allocated to Product B. Since the joint costs are allocated based on the relative value or volume of the products, we can assume that Product B has the same volume as Product A. Thus, the total volume of the joint process is 4,000 units (2,000 units of Product A + 2,000 units of Product B).

If Product A is sold at the split-off point for $16 per unit, the revenue generated would be $32,000 (2,000 units * $16 per unit).

Processing further:

To process Product A further, there is an additional total cost of $14

Therefore, the total cost of processing further and selling the processed units would be $38,000 ($24,000 allocated joint costs + $14,500 additional processing costs).

If Product A is processed further and sold for $25 per unit, the revenue generated would be $50,000 (2,000 units * $25 per unit).

To determine the financial advantage (disadvantage) of further processing, we need to compare the revenues and costs of the two alternatives:

Alternative 1: Selling at the split-off point

Revenue: $32,000

Cost: $24,000 (allocated joint costs)

Alternative 2: Processing further

Revenue: $50,000

Cost: $38,000 (allocated joint costs + additional processing costs)

To calculate the financial advantage (disadvantage), we subtract the costs of each alternative from the corresponding revenues:

Financial Advantage (Disadvantage) = Revenue - Cost

For Alternative 1:

$32,000 - $24,000 = $8,000

For Alternative 2:

$50,000 - $38,000 = $12,000

Since the financial advantage of processing further ($12,000) is higher than the financial advantage of selling at the split-off point ($8,000), we can conclude that the financial advantage of further processing Product A is $3,500 (Alternative 2 advantage - Alternative 1 advantage).

Therefore, the answer is B) $3,500.

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The answer is B: $3,500.

To determine the financial advantage or disadvantage of further processing Product A, we need to calculate the additional revenue generated from the processing and compare it to the additional cost incurred.

If Product A is sold at the split-off point for $16 per unit, the total revenue is:

$16 per unit x 2,000 units = $32,000

If Product A is processed further, the additional cost incurred is $14,500. However, the selling price per unit increases to $25 per unit, which generates additional revenue. The total revenue from selling the processed Product A is:

$25 per unit x 2,000 units = $50,000

Therefore, the additional revenue from processing Product A is:

$50,000 - $32,000 = $18,000

The financial advantage of further processing Product A is the additional revenue minus the additional cost incurred:

$18,000 - $14,500 = $3,500

It is important to note that this analysis only considers the financial aspect of the decision and does not take into account other factors such as market demand, product quality, and production capacity.

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Answer:

Step-by-step explanation:

The radius of a circle with an area of 271 square inches is,

⇒ r = 9.3 inches

We have to give that,

An area of a circle is,

A = 271 square inches.

Since We know that,

The area of the circle is,

A = πr²

Where r is the radius of the circle.

Substitute A = 271 square inches in the above formula,

271 = 3.14 × r²

r² = 271 / 3.14

r² = 86.3

r = √86.3

r = 9.3 inches

Therefore, The radius of a circle with an area of 271 square inches is,

⇒ r = 9.3 inches

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Answer:

y = -1/6x + 1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 0 / 32 - 2

-5 / 30

= -1/6

y = -1/6x + b

0 = -1/6(2) + b

0 = -1/3 + b

1/3 = b

To find the area under the curve between two given z-scorers, having a z-table would be handy.

Remember that the z-table gives the area to the left of a given z-score.

For z = -1.58, the corresponding area according to the z-table is 0.05705.

Meanwhile, for z = 1.58, the corresponding area is 0.94295.

Again, these areas are to the left of the z-score given. So, if we are to find the area between them, we will have to subtract 0.94295 - 0.05705.

The answer is 0.8859.

Answer:

One above me is correct 100% :)

Step-by-step explanation:

The given series is: Σ (from n=1 to infinity) 1 / \((9 + e^(-n)\)) Since the terms of our given series are less than the terms of a convergent series, by the Comparison Test, our given series is also convergent.

To determine whether the series is convergent or divergent, we can use the Comparison Test. We need to find a series that we can compare our given series with.

A suitable series for comparison would be:

Σ (from n=1 to infinity) 1 /\(e^n\)

Since e^(-n) is always positive, we know that:

\(1 / e^n < 1 / (9 + e^(-n))\)

Now, let's consider the series Σ (from n=1 to infinity) 1 / e^n. This is a geometric series with a common ratio of 1/e (which is less than 1). Since the absolute value of the common ratio is less than 1, this geometric series converges.

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\( \large{ { \tt{꧁ \: A\: N \: S \: W \: E \: R \: ꧂}}}: \)

Step-by-step explanation:

✧ \( \underline{ \underline{ \large{ \red{\tt{ \: P \: R \: O \: V \: I\: D \: E \: D\: }} }}: }\)

✎ \( \underline{ \underline{ \purple{ \large\tt{T\: O \: \: F \: I\: N \: D}}}} : \)

Since we know , The diagonals of a parallelogram bisect each other ;

\( \large{\text{EF \: = JG}}\)

➝ \( \large{ \bf{3w = w + 8}}\)

➝ \( \large{ \bf{3w - w = 8}}\)

➝ \( \large{ \bf{2w = 8}}\)

➝ \( \large{ \bf{w = \frac{8}{2}}} \)

➝ \( \boxed{\large{ \bf{w = 4}}}\)

♔ \( \underline{ \text{Replacing \: Value}} : \)

⇢\( \large{ \bf{JG = w + 8 = 4 + 8 = \boxed{ \bf{12}}}}\)

Yayy! We found our answer ☾

⛧ \( \boxed{ \boxed{ \orange{\tt{Our \: Final \: Answer : \underline{ \boxed{ \tt{12}}}}}}}\)

Hope I helped! ♡

Have a wonderful day / night ! ☘

Let me know if you have any queries regarding my answer ♬

⋆ \( \underbrace{ \overbrace{ \mathfrak{Carry \:On \: Learning}}}\) ⋆

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

w ║ n and n ⊥ m ( line w is parallel line n, and line n is perpendicular to m ).

option C.

Parallel lines are two or more lines that are always the same distance apart and never intersect. They have the same slope, which means that they have the same steepness, but they may be located at different positions on the coordinate plane.

Parallel lines are denoted by the symbol "||".

Perpendicular lines, on the other hand, are two lines that intersect each other at a right angle (90 degrees). The slope of a perpendicular line is the negative reciprocal of the slope of the other line.

Perpendicular lines are denoted by the symbol "⊥".

For the given diagram n is perpendicular to m and w is parallel to n.

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The quadratic function, f(x) = 3·x² + 6·x, has the following values;

1. The function has a minimum value

2. The y-intercept of the function is (0, 0)

The axis of symmetry is; x = -1

The x-coordinate of the vertex is; x = -1

3. The table of values can be presented as follows;

x   \({}\)-2    -1    0

f(x) \({}\)0    -3     0

The vertex is (-1, -3)

4. Please find attached the graph of the function

A quadratic function is a function that has 2 as the highest power of the variables.

The specified function is; f(x) = 3·x² + 6·x

1. The coefficient of x² in the specified  quadratic function, which indicates the existence of a minimum or maximum value is positive, therefore, the function has a minimum value

2. The y-intercept is the value of the function when x = 0, therefore;

f(0) = 3 × 0² + 6 × 0 = 0

Therefore, at the y-intercept, x = 0, and f(x) = 0

The y-intercept is (0, 0)

The axis of symmetry is a line that passes through the vertex

A the vertex, we get, f'(x) = 6·x + 6 = 0

Therefore;  6·x + 6 = 0

6·x = -6

x = -6/6 = -1

f(-1) = 3·(-1)² + 6 × (-1) = -3

The vertex is (-1, -3)

Therefore, the  axis of symmetry is the line x = -1

The x-coordinate of the vertex of the function is; x = -1

3. A table of values for the function can be presented as follows;

x    \({}\)           f(x)

-6    \({}\)           72

-5     \({}\)          45

-4     \({}\)          24

-3    \({}\)           9

-2    \({}\)           0

-1    \({}\)           -3

0    \({}\)           0

1    \({}\)            9

2     \({}\)           24

3    \({}\)            45

4    \({}\)            72

5    \({}\)             105

4. . Please find attached the graph of the function created with MS Excel

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Answer:

  The measure of angle AOC is double the measure of angle ABC.

Step-by-step explanation:

You want to know the relationship between central angle AOC in circle O and inscribed angle ABC subtending the same arc AC.

The measure of an inscribed angle is half the measure of the arc it intercepts. The measure of a central angle is exactly equal to the measure of the arc it intercepts. (That's how the arc measure is determined.)

Hence, the measure of angle AOC is double the measure of angle ABC.

__

Additional comment

  Inscribed : central = 1 : 2

  Central : inscribed = 2 : 1

You need to be a little careful of the wording of the relationship. Which is double and which is half can be confused when it's written in words. On a diagram, the angle with its vertex in the center will obviously be larger than the one with its vertex on the circle.

Answer:

60

Step-by-step explanation:

ABC is OBC:30

180-90-30=60

Answer:

angle BDC=60°

9514 1404 393

Answer:

  yes, about 2.05 inches

Step-by-step explanation:

The Pythagorean theorem can be used to find the width of the TV.

  w^2 +h^2 = d^2

  w = √(d^2 -h^2)

  w = √(42^2 -18^2) = √1440 = 12√10

  w ≈ 37.95 . . . inches

This dimension is less than 40 inches by a margin of ...

  40 -37.95 = 2.05 . . . inches

The TV will fit, with 2.05 inches of space remaining.

Answer:

the 4th imagen math box

Step-by-step explanation: trust me pleses

Answer:

y/x of point A=y/x of point B

Step-by-step explanation:

Answer:

100 square meters

Step-by-step explanation:

\( {x}^{2} + 6x + 8x = 240\)

\( {x}^{2} + 14x = 240\)

\( {x}^{2} + 14x - 240 = 0\)

\((x - 10)(x + 24) = 0\)

\(x = 10\)

x = -24 will not work (it is extraneous).

\( {x}^{2} = 100\)

So the area of the square region is 100 square meters.

To determine the minimum required diameter (D) of the cross-section of the beam, we need to consider the maximum bending moment and the maximum allowable bending stress.

The bending stress in a beam is given by the formula:

σ = (M * c) / I

Where σ is the bending stress, M is the maximum bending moment, c is the distance from the neutral axis to the outermost fiber (which is equal to half of the diameter for a circular cross-section), and I is the moment of inertia of the cross-section.

Rearranging the formula, we have:

D = (2 * M) / (σ * π)

Substituting the given values, with M = 80 kNm (converted to Nm) and σ = 500 MPa (converted to N/m²), we can calculate the minimum required diameter (D):

D = (2 * 80,000 Nm) / (500,000,000 N/m² * π)

D ≈ 0.255 meters or 255 mm

Therefore, the minimum required diameter of the cross-section of the beam is approximately 0.255 meters or 255 mm to resist the maximum bending moment of 80 kNm within the allowable bending stress of 500 MPa.

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The most cost effective company will be Painting USA whose charges will amount to $700.

The cost of painting the house will be the same for both companies if the number of hours required to paint Paul's house is approximately between 16.5 and 25 hours.

Answer:

10

Step-by-step explanation:

2(2) + 6

4 + 6

10

Answer:

10

Step-by-step explanation: