Given m||n, find the value of x.

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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Percent to the nearest whole number = 7%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability = (Number of possible outcomes)/(Total number of outcomes)

Total number of outcomes = 2 + 15 + 2 + 11 = 30

Number of possible outcomes = 2

Probability = 2/30 = 1/15 = 0.0666

Percent to the nearest whole number =  0.0666 *100 = 7%

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Answer:7

Step-by-step explanation:

Answer:

the formula is y2-y1÷x2-x1

The value of m = 15 makes the equation a proportional relationship.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side

The given equation is y + m = 6x + 15.

If an equation has a proportional relationship, then the two variables will have a constant ratio.

General format of a proportional relationship is y = kx, where k is called the constant of proportionality.

We have to get the given equation in the form of y = kx.

It is possible only if m = 15.

y + 15 = 6x + 15

y = 6x + 15 - 15

y = 6x

Hence the value of m is 15, if the relationship is proportional.

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Answer:

30 cm^2

Step-by-step explanation:

The formula for f : M = 38 + 5f will be f = (M - 38) / 5.

no

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The equation given is:

M = 38 + 5f

We want to make f the subject of the formula

M = 38 + 5f

Subtract 48 from both sides

M - 38 = 5f

Divide through by 5

f = (M - 38) / 5

Therefore, f = (M - 38) / 5

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Answer:

217 million km

Step-by-step explanation:

1 cm = 1 m. km

217 cm = 217 m. km

13.13.13.13.13 in exponential form is 13^5

The expression is given as:

13.13.13.13.13

The factors of the above expression are 13.

And each factor is grouped by product

There are five 13s in the expression.

So, we have:

13.13.13.13.13 = 13^5

Hence, 13.13.13.13.13 in exponential form is 13^5

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Answer:

1/3a - 8

Step-by-step explanation:

Distribute negative sign:

2/3a - 5 + -1 (1/3a + 3)

2/3a + -5 + -1 (1/3a) + (-1)(3)

2/3a + -5 + -1/3a + -3

Combine like terms:

2/3a + -5 + -1/3a + -3

(2/3a + -1/3a) + (-5 + -3)

= 1/3a - 8

Answer:

Population

Step-by-step explanation:

In mathematics, when we talk about the people, places, or things under consideration, we are referring to the population. The Population is the entire sum of objects in a study. When a researcher wants to study factors that concern a particular set of people, places, or things, the group under study is the population. For example, the researcher might want to do a study on the amount of food consumed by Brazilian students in the year 2019. The Brazilian students represent the population, because they are the group of people being studied.

The population under study might sometimes be difficult to study as a whole. For example, the study of the entire Brazilian students might be cumbersome. In such cases, a sample can be drawn from the population and studied, or the population narrowed down a little more, so that it can be easily studied.

Answer:

36

Step-by-step explanation:

The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!

Step-by-step explanation:

from the first shape bearing of C from D is the angle formed between the north pole and D = 100°

from the second second shape the bearing of C from D is the angle formed between the north pole and D= 235°

Answer:

See attached graph

Step-by-step explanation:

\(f(x)=\frac{1}{x}\\ \\g(x)=x+4\\\\(g\circ f)(x)=g(f(x))=g(\frac{1}{x})=\frac{1}{x}+4\)

I cannot see all of the options, so I attached a graph of the correct graph for you to match up your options with.

The correct calculation of the standard deviation of the sampling distribution of p_hat subscript s - p_hat subscript p is 0.0934.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

Percentage of students with laptop=68%

Percentage of professors with laptop=43%

p_s = 0.68 and p_p = 0.43.

Now,

The formula for the standard deviation of the sampling distribution of the difference between two sample proportions is:

sqrt[(p_s * (1 - p_s) / n_s) + (p_p * (1 - p_p) / n_p)]

where p_s and p_p are the population proportions of students and professors who have a laptop, respectively, n_s and n_p are the sample sizes of students and professors, respectively.

We are also given that 56 students and 31 professors were selected at random and asked if they have a laptop. Therefore, n_s = 56 and n_p = 31.

Substituting these values into the formula, we get:

sqrt[(0.68 * (1 - 0.68) / 56) + (0.43 * (1 - 0.43) / 31)]

sqrt[0.00367143 + 0.00505484]

= sqrt(0.00872627)

= 0.0934 (rounded to four decimal places)

Therefore, by standard deviation the answer will be 0.0934.

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These are the two transactions that are given in the question and the journalizing of these transactions are explained with the appropriate steps and accounts.

The solution for the journalizing of the given transactions can be found below:

Journalizing refers to the recording of business transactions in the journal. In the process of journalizing, all transactions are recorded in the journal in a systematic way.

Journal is the first place where every transaction is recorded systematically.

The transaction is a business exchange in which one entity provides value to another entity in exchange for a specific item, service, or asset.

Transaction

(i) is paid Rs 2000 in cash as wages on the installation of the machine. This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount (Cr.) DD/MM/YYYCash a/c………………………Dr.2000To wages a/c2000 (Being cash paid as wages on the installation of the machine)Transaction

(ii) sold goods to Mr. Chopra at a list price of Rs 4,000. The sale is subject to a 10% trade discount and a 5% cash discount if the payment is made immediately, Mr. Chopra availed cash discount.

This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount(Cr.) DD/MM/YYYMr. Chopra a/c………………………Dr.3,420To Sales a/c4,000 (Being sales made to Mr. Chopra on a discount) To Trade Discount a/c400 (Being Trade Discount allowed to Mr. Chopra) Cash Discount a/c180 (Being cash discount allowed to Mr. Chopra) To Mr. Chopra a/c180 (Being cash received from Mr. Chopra) To CGST a/c90(Being CGST charged on sales) To SGST a/c90(Being SGST charged on sales)

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In a case whereby area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square. the equation for how to solve for the side length is option B. s = √144 in.

The concept of area is used in various fields of mathematics, including geometry, calculus, and algebra. In geometry, the area is calculated by multiplying the length and width of a shape, such as a rectangle or a square. For other shapes, such as triangles or circles, there are specific formulas for finding their area.

Since A= s^2 we can find the square root of both sides which is

s= √A Then from the question, A = 144inch then s = √144 in

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Answer:

We can use the formula for compound interest to solve this problem. The formula is:

A = P * (1 + r/n)^(n*t)

where:

A = the amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:

A = 5000 * (1 + 0.03/12)^(12*10)

A = 5000 * (1.0025)^120

A ≈ $6,621.36

So the investment will be worth approximately $6,621.36 after 10 years.

Answer:

Step-by-step explanation:

Find the asymptotes.

Vertical Asymptotes:

x

=

0

Horizontal Asymptotes:

y

=

0

No Oblique Asymptotes

Answer:

23.8

Step-by-step explanation:

2l+2w for l=5.7 and w=6.2

2*5.7+2*6.2 first multiply

11.4+12.4 then add

23.8

Answer:

A:

Square

Rectangle

Parallelogram

Quadrilateral

Rhombus

Step-by-step explanation:

All sides and angles are equal so it is a square

All angles are 90 degrees so it is a rectangle (eliminate C)

Opposing angles and side lengths are congruent so it is a parallelogram (eliminate D)

It has 4 sides so it is a quadrilateral (eliminate B)

Since all of the other answers are eliminated you don't necessarily need to prove that is is a rhombus, but it is good practice.

Opposing sides are congruent so it is a rhombus.

Answer:

According to the Central Limit Theorem, the sampling distribution of sample means would have a mean of 5.4 years.

Step-by-step explanation:

For a normally distributed random variable X, with mean and standard deviation, the sampling distribution of sample means with size n can be approximated to a normal distribution with mean and standard deviation.

As long as n is at least 30, the Central Limit Theorem can also be applied to skewed variables.

We have the following problem:

Answer:

Step-by-step explanation:

The mean of the sampling distribution of sample means can be calculated using the formula:

μM = μ

where μ is the population mean and M is the sample mean.

Thus, μM = μ = 5.4 years.

Therefore, the mean of the sampling distribution of sample means would also be 5.4 years.

The intersection points are: (0, -3) and (10, 2)

The bounded area is -20.83 unit²

(a) The  intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:

(0, -3) and (10, 2)

(b) The integral terms of y which gives the area bound are:

a = -3, b = 2 (These are the y values of the intersection points)

Since we have x = y² + 3y and x = 2y + 6, we can say:

y² + 3y = 2y + 6

y² + 3y - 2y - 6 = 0

y² + y - 6 = 0

Thus, h(y) =

Using a = -3 and b = 2  with h(y) = y² + y - 6, we have the bounded area as:

\(Area = \int\limits^b_a {y} \, dy\)

\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)

Integrating the area:

Area = [y³/3 + y²/2 - 6y + C]²₋₃

Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]

Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]  

Area = [-22/3] - [27/2]

Area = -125/6

Area = -20.83 unit²

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The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

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Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer: q = -40p + 4,040

Step-by-step explanation:

$6 each for 3,800 shower curtains per month

$11 each for 3,600 shower curtains per month

The slope of the demand line is \(\frac{3800 - 3600}{6 - 11} = \frac{200}{-5} = -40\)

The demand function is q = -40p + c

3,800 = -40*6 + c

c = 4,040

The linear demand function is q = -40p + 4,040

PLEASE MARK BRAINLIEST

Answer: 0.32432432432

Step-by-step explanation:

5x7=35

35+2=37

26-14=12

12/37= 0.32432432432

as you may already know, we get an arithmetic sequence by adding a number or common difference to the current to get the next one, or "d".

we know the 3rd term is 11, or a₃ = 11, we also know that the 6th term is -1, or a₆ = -1, but we also know that to get from the a₃ to a₆ we had to use "d" several times, let's see

\(\begin{array}{rll} term&value\\ \cline{1-2} a_3&11\\ a_4&11+d\\ a_5&(11+d)+d\\ a_6&(11+d+d)+d\\ &11+3d\\ &-1 \end{array} \implies 11+3d=-1\implies 3d=-12\implies d = -4\)

well, now we know that d = -4, hmmmm what's the first term anyhow, well, let's say that the first term has a value of F, or a₁ = F, so let's use another table for it like before from a₁ to a₃

\(\begin{array}{rll} term&value\\ \cline{1-2} a_1&F\\ a_2&F+d\\ a_3&(F+d)+d\\ &F+2d\\ &11 \end{array} \implies \begin{array}{llll} F+2d = 11\implies F+2(-4)=11\\\\ F-8=11\implies F = 19 \end{array}\)

well, since now we know what's a₁ and "d", let's use them both

\(n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{27}\\ a_1=\stackrel{\textit{first term}}{19}\\ d=\stackrel{\textit{common difference}}{-4} \end{cases} \\\\\\ a_{27}=19+(27-1)(-4)\implies a_{27}=19+(-104)\implies \boxed{a_{27}=-85}\)

Step-by-step explanation:

The unknown angle will

the sum of both angle

it is the exterior angle property

35 + 95 = 130

hope it helps and your day will fine