The equation of line p is y=ax+b. Which of these could be the equation of line q?.

Answer:

The Chinese traditional culture should first include thought, writing and language, and then the six arts, namely, rites, music, archery, imperial skills, calligraphy and mathematics, and then the calligraphy, music, martial arts, quyi, chess, festivals and folk customs derived from the rich life. Traditional culture is something that is closely related to our lives, integrated into our lives, and we enjoy it without knowing it.

Chinese traditional culture should include: ancient Chinese literature, ancient poetry, words, music, Fu, folk music, folk drama, quyi, Chinese painting, calligraphy, couplets, lantern riddles, shooting, wine, Xiehouyu, etc.; Traditional festivals (according to the lunar calendar) are: the first day of the first lunar month the Spring Festival (lunar New Year), the fifteenth day of the first lunar month the Lantern Festival, April 5 Qingming Festival, Qingming Festival before and after the cold food Festival, May 5 Dragon Boat Festival, July 7 Qixi Festival, August 15 Mid-Autumn Festival, the twelfth Lunar month thirty New Year's Eve and various folk activities; Ancient Chinese natural sciences, including the traditional calendar, and the traditional cultures of various regions and ethnic minorities living in China are also part of traditional Chinese culture.

Answer:

1/3

Step-by-step explanation:

This equation is in slope-intercept form, which describes the slope and y-intercept of a linear equation.

[tex]y=mx+b[/tex] is how we describe such equations where "m" is the slope and "b" is the y-intercept. In this case, the slope is 1/3 because that is equivalent to the value of "m".

Answer:

d

Step-by-step explanation:

Answer:

The error occurred in the second step

Step by step answer:

In order of operations the power or the exponentials before the the addition

The number of sessions when the plans would cost the same is 22. The cost of the plan is $1,505.

The linear equations that represent the total cost of using a personal trainer would have this form:

consultation fee + (cost per session x number of sessions)

The linear equation that represents the first plan : $9 + ($68 x s)

= $9 + $68x

The linear equation that represents the second plan : $75 + ($65 x s)

= $75 + $65s

When the two plans have the same cost, the two above equations would be equal

$75 + $65s = $9 + $68s

In order to determine the value of s, take the following steps:

Combine similar terms together : $75 - $9 = $68s - $65s

Add similar terms together: $66 = $3s

Divide both sides of the equation by $3

s = $66 / 3

s = 22

Cost when the two plans have the same cost = $9 + (22 x 68)

= $9 + 1496

= $1,505

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Answer: R(-6.5, 2)

Step-by-step explanation:

Given: M(-1,-3)  Q(4.5, -8)       R(x,y)=?

The coordinates of the point in the middle of the segment are equal to the arithmetic mean of the coordinates of its ends

[tex]\displaystyle\\Hence,\ x_M=\frac{x_Q+x_R}{2}\\\\-1=\frac{4.5+x_R}{2} \\[/tex]

Multiply both parts of the equation by 2:

[tex]-2=4.5+x_R\\\\-2-4,5=4.5+x_R-4.5\\\\-6.5=x_R\\\\Thus,\ x_R=-6.5[/tex]

[tex]\displaystyle\\y_M=\frac{y_Q+y_R}{2} \\\\-3=\frac{-8+y_R}{2}[/tex]

Multiply both parts of the equation by 2:

[tex]-6=-8+y_R\\\\-6+8=-8+y_R+8\\\\2=y_R\\\\Thus,\ y_R=2[/tex]

[tex]So,\ R(-6.5,2)[/tex]

The relation to each other on the vertical number line,

For any two numbers x, y where y>x.

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These values could be numerical or algebraic or a combination of both.

According to the questions,

In vertical number line,

x is placed in the bottom and is y placed on the top on vertical

number line.

⇒ y>x

For example,

If x = 3 and y = 4.

Then, y>x.

Hence the required relation is y>x.

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The following are the value of angles in the rectangle:

m∠HMJ and m∠JMK lie on the straight line HK

126° + m∠JMK = 180° {sum of angles on a straight line}

m∠JMK = 180° - 126°

m∠JMK = 54°

∆JMK is an Isosceles triangle so; m∠JKH = m∠JKM = m∠KJM

2m∠JKH + 54° = 180° {sum of interior angles of a triangle}

m∠JKH = (180° - 54°)/2

m∠JKH = 63°

m∠HLK = 90° one interior angle of rectangle

m∠HJL and m∠KJM are complimentary which implies they sum up to 90°

m∠JKH = m∠KJM = 63° so;

m∠HJL = 90° - 63°

m∠HJL = 27°

m∠LHK and m∠JKH are alternate angles and they are equal so;

m∠LHK = 63°

m∠JLK and m∠HJL are also alternate angles so;

m∠JLK = 27°

In conclusion, we have the angles of the rectangle as m∠JMK = 54°, m∠JKH = 63°, m∠HLK = 90°, m∠HJL = 27°, m∠LHK = 63°, and m∠JLK = 27°.

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Answer:
20.02

If this help please set brainliest.

Explain:

If you increase the number 14 by 43%, you would get
14 + (14 * 43%) = 14 + 6.02 = 20.02.

There are 125 four-digit even numbers that can be formed using the digits 2, 3, 5, 17, and 9.

To calculate the number of 4-digit even numbers that can be formed with the given digits, we can use the formula n^r, where n is the number of digits and r is the number of digits in the number. In this case, n = 5 and r = 4, so we can calculate 5^4 = 625.

Since we are looking for even numbers, we must eliminate any numbers that end in an odd digit.  This means that we must eliminate the numbers with the digits 3 and 5 as the last digit. Therefore, 625 - (3*25) - (5*25) = 625 - 75 - 125 = 425.

Now we must eliminate any numbers that do not begin with an even digit. This means that we must eliminate the numbers with the digits 3 and 9 as the first digit. Therefore, 425 - (3*25) - (9*25) = 425 - 75 - 225 = 125. Therefore, there are 125 four-digit even numbers that can be formed with the given digits.

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In this case, y1 = 15 and x1 = -4. Substituting these values into the point-slope form, we get: y - 15 = 2(x - (-4)) , Simplifying, we get: y = 2x + 21

y = 2x + 21

To find the equation of the line that passes through the point (-4, 15) and is perpendicular to y = -2x - 9, we can use the slope formula.

The slope of the line y = -2x - 9 is m = -2. The slope of a perpendicular line is the negative reciprocal of m, or m = 2.

We can use the point-slope form of a line to find the equation of the line. The point-slope form of a line is y - y1 = m(x - x1).

In this case, y1 = 15 and x1 = -4. Substituting these values into the point-slope form, we get:

y - 15 = 2(x - (-4))

Simplifying, we get:

y = 2x + 21

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Yes, because as x increases, y increases and because all of the pairs represent the same ratio.

When two sets of provided numbers change in proportion, the ratios are said to be directly proportional if they do so in the same direction.

If two ratios or fractions are equivalent, it may be shown using the proportion formula. By dividing the supplied numbers, we may determine the value that is missing. You may write the percentage formula as a: A and d are the extreme terms, and b and c are the middle terms, according to the formula b::c: d = a/b = c/d.

Yes, because as x increases, y increases.

Yes, because all of the pairs represent the same ratio.

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The graph of the function y = - (5/3)x² is a parabola openning downwards

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, A function y = - (5/3)x².

Its parent function is y = x², which is a parabola opening upwards having a vertex at (0, 0).

Now, The graph of the function y = - (5/3)x² is a parabola that opens downwards having a vertex at (0, 0) but a bit steeper as the value of a is less than - 1.

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The composition of the 8.5 cm diameter, 7 mm thick medal metal alloy, which is composed of gold silver and bronze are as follows;

1) The mass of the gold in the alloy is 0.81% × 39.72 cm³ × 19.3 g/cm³ ≈ 6 g

2) The total cost of the medal is about €540.95

An alloy is made by combining two or more different metals to produce a metal of desired qualities such as strength, durability or to prevent corrosion.

1) The percentage of silver by volume = 92.5%

Percentage of copper = 6.69%

Percentage of gold = 0.81%

Volume of the medal = π × (8.5 cm)²/4 × 7 mm ≈ 39.72 cm³

Volume of the gold ≈ 0.81% × 39.72 cm³ ≈ 0.32 cm³

Mass = Density × Volume

Mass of the gold ≈ 19.3 g/cm³ × 0.32 cm³ ≈ 6 grams

2) The mass of the silver in the medal is found as follows;

Mass = 92.5% × 39.72 cm³ × 10.5 g/cm³ ≈ 385.78 g

Mass of the copper is found as follows;

Mass = 6.69% × 39.72 cm³ ×8.9 g/cm³ ≈ 23.65 g

The total cost of the medal is therefore;

Total cost ≈ 6 × 42.55 + 385.78 × 0.74 + 23.65 × 0.0075 ≈ 540.95

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The function g(x) for the input values are g(-2) = -19, g(0) = -5 and g(3) = -14

From the question, we have the following parameters that can be used in our computation:

A function and a set of input values

The equation of the function is given as

g(x) = –2x2 + 3x – 5

Express properly

So, we have

g(x) = –2x² + 3x – 5

The input values are given as

–2, 0, and 3.

Substitute  –2, 0, and 3 in g(x) = –2x² + 3x – 5

So, we have the following representations

g(-2) = –2(-2)² + 3(-2) – 5

Evaluate

g(-2) = -19

Next, we have

g(0) = –2(0)² + 3(0) – 5

g(0) = -5

Lastly, we have

g(3) = –2(3)² + 3(3) – 5

g(3) = -14

Hence, the values are g(-2) = -19, g(0) = -5 and g(3) = -14

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The solution set for the expression is {0,  π/2,  π}.

According to the question,

Here we have the expression:

tan([tex]\frac{3\pi }{4}[/tex] - 2x) = -1

First, we know that:

tan([tex]\frac{3\pi }{4}[/tex]) = -1

So, if x = 0, the equation is true and it means that x = 0 is a solution.

And the tangent function is defined as a period of pi.

This means that:

tan(x) = tan(x -  π) = tan(x - 2*π) etc.

Then if x = π/2 and x = π also are solutions, so we conclude that the solution set for the given expression is: {0,  π/2,  π}.

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A. The relative frequency of a class is computed by dividing the frequency of the class by the sample size. A graphical presentation of the relationship between two variables is c) either an ogive or a histogram, depending on the type of data.

To compute the relative frequency of a class, the frequency of the class is divided by the a)sample size. The sample size is the total number of observations in the data set. This gives the proportion of the observations that belong to the class.  

A graphical presentation of the relationship between two variables is either an ogive or a histogram, depending on the type of data. An ogive is a cumulative frequency graph, which shows the cumulative frequency of a data set.

A histogram is a bar chart that shows the frequencies of a data set. Depending on the type of data, either an ogive or a histogram may be used to present the relationship between two variables.

To calculate the mean of a set of values, the value of Σx is divided by a) n, the number of values in the set. If the value of Σx is zero, then the mean of the set will also be zero. The value of Σx can never be b) negative because it is the sum of all the values in the set. It can, however, be any positive value.

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The area of the path is A(x) = 459 + 88x + 4x²

The area of a rectangle can be found by multiplying the length and width of the rectangle.

This can be done as shown below:

Area = length*width

We can find the width of the path as shown below:

Let the width of the path be x.

The length of the pool is 27 meters.

The width of the pool is 17 meters.

The area of the pool including the path is given as:

A(x) = (27 + 2x)(17 + 2x)

A(x) = 459 + 54x + 34x + 4x²

A(x) = 459 + 88x + 4x²

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Answer:

1.6 oz

Step-by-step explanation:

8 oz to spread into 5 bowls = 8/5

8/5=1.6

Answer:1.6

Step-by-step explanation: First your going to divide 8/5 but do it like this-8.0 divided by 5= 1.6 so that gonna be your answer. Hope it was helping you.

The triangle in the figure is an obtuse triangle

There are three main types of triangles: right triangles, acute triangles, and obtuse triangles. Right triangles have one angle that is 90 degrees, while acute triangles have all angles less than 90 degrees, and obtuse triangles have one angle that is greater than 90 degrees. A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all interior angles, however, is always equal to 180 degrees.

In this triangle, we have one of the sides greater than 90 degrees.

This makes the triangle an obtuse triangle.

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Answer:

6x^3

x^2

Canceling the power we get

6x

1

Hence the answer is 6x

Step-by-step explanation:

Steps of construction :

1. Draw a line segment AB=4.2 cm.

2. At A, draw an angle of 90

∘

.

3. From B, draw an arc of radius 8.2 cm which cuts the line segment at C.

Hence, ΔABC is the required triangle.

The equation of the exponential function is 2ˣ with the given properties.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

An exponential function of base e has the form f(x) = [tex]ae^{(bx)}[/tex], where a and b are constants.

The horizontal asymptote of this function is at y=1, which means that a=1.

The y-intercept is the point where the graph crosses the y-axis, which is at x=0. The value of f(0) is the y-intercept of the graph, and since it is less than 2, we have [tex]f(0) = 1\times e^{(b\times0)}[/tex] = 1 < 2.

The graph also contains the point (-1, 2), which means that f(-1) = 2. Substituting the values we have found for a and f(0) into the equation for f(x), we get [tex]f(-1) = 1\times e^{(b\times(-1))}[/tex] = 2.

Solving this equation for b, we find that b = ln(2).

Substituting this value for b into the equation for f(x), we get f(x) = [tex]e^{(ln(2)x)} = 2^x[/tex].

This is the equation of the exponential function with the given properties.

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The expression that represents the total amount that Ellie paid is 1.2614x

From the question, we have the following parameters that can be used in our computation:

Bill = x

Tax applied to bill = 6%

Tip = 19%

The expression that represents the total amount that Ellie paid is then represented as

Expression = Bill * (1 + Tax applied to bill) * (1 + Tip)

Substitute the known values in the above equation, so, we have the following representation

Expression = x * (1 + 6%) * (1 + 19%)

So, we have

Expression = x * 1.2614

This gives

Expression = 1.2614x

Hence, the expression is 1.2614x

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The value of x is x = 36.

What is similar triangles?

Triangles that are similar in shape but differ in size are known as similar triangles. Examples of related objects include all equilateral triangles and squares with any side length. To put it another way, if two triangles are similar, then their corresponding angles and sides are congruent and equal in size.

Given:

ΔLMN ∼ ΔPON

We have to find the value of x.

As the triangles ΔLMN and ΔPON are similar, so the sides of the triangles are in proportion.

⇒  LM / PO = MN / ON

⇒    42 / 14 = x / 12

⇒            3 = x / 12

⇒            x = 36

Hence, the value of x is x = 36.

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In the first row there are 7 chairs, and common difference is 2 implies that, the sequence in increasing order.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

Given that,

The definition of the arithmetic sequence is given by,

an = a₁ + (n-1) d       (1)

Also, in first row, there are 7 chairs.

And after that row two more chairs are behind the first row.

Implies that, a₁ = 7 and d = 2.

Substitute this value in equation (1),

aₙ = 7 + (n - 1) 2

aₙ = 7 + 2n - 2

an = 5 + 2n

For the value of n the number of chairs can be found.

Hence, the arithmetic sequence is in increasing order.

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2 1/2 = 5/2 = 2.5

Its 2.5 in decimals

Tameka can paint a house in 4 hours, and Rasheeda can paint the same house in 6 hours. If Tameka and Rasheed paint the house together, the can finish it in 2.4 hours.

This problem can be solved using unitary method.

Using this method, the required value is obtained by multiplying the quantity with the unit value.

Tamika can paint a house in 4 hours. It means:

In 1 hours Tamika can paint 1/4 house

Rasheeda can paint a house in 6 hours. It means:

In 1 hours Rasheeda can paint 1/6 house

If  Rasheeda and Tameka work together, they can paint 1/4 + 1/6 = 5/12 house in 1 hour.

It means, for 1 house, Rasheeda + Tameka need 12/5 = 2.4 hours

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Answer:

x=-1

Step-by-step explanation:

2*2x =4x and 2*-4=-8

now we have 4x-8=-10x+6

To solve for x we can first subtract 8 from both sides of the equation to isolate the x terms on one side. This gives us 4x = -10x + 14. Then, we can add 10x to both sides to isolate the x term on one side and get 14x = 14. Finally, dividing both sides by 14 will give us the value of x as -1.

Hope this helps!

Answer:

x = 1

Step-by-step explanation:

2(2x-4)=-10x+6

expand the bracket

4x-8 = -10x+6

collect like terms

4x+10x = 8+6

14x = 14

divide by the coefficient of x

14x÷14 = 14÷14

x = 1

The angle measure indicated is 137° from the given figure.

What is area of circle ?

area of circle can be defined as the product of pi and square of radius of a circle.

We know that the length of tangents which are drawn from an external point are equal.

PA = PB

The tangent at any point on the circle is perpendicular to the radius of the circle through the point of contact.

OB ⊥ PB and OA ⊥ PA

∠PBO = 90°, ∠PAO = 90°

The sum of all the angles in a quadrilateral is 360°.

In the quadrilateral PAOB

∠APB + ∠PAO + ∠PBO + ∠AOB = 360°

43° + 90° + 90° + ∠AOB = 360°

∠AOB = 360° - 223°

∠AOB = 137°

Therefore, the angle measure indicated is 137°.

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Answer:

x = e - 1    or   1.718

Step-by-step explanation:

In(x + 1) = 1

e^1 = x + 1

This can be rewritten as

x + 1 = e

Subtract 1 from both sides

x = e - 1

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