If f(x) = 1 - x and g(x) = 1-X, which is the rule of function (f-g)(x)?

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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The value of (1+tan2A)(1-sec A)(1+sec A) is 1.

We can simplify the given expression using the trigonometric identities:

tan2A = 2tanA/(1-tan²A) and sec A = 1/cos A.

To simplify the given expression (1+tan²A)(1-secA)(1+secA), we can start by using trigonometric identities to express the terms in the expression in terms of a single trigonometric function.

Substituting these values, we get:

(1+tan2A)(1-sec A)(1+sec A)

= [1+2tanA/(1-tan²A)][1-1/cos A][1+1/cos A]

= [1-tan²A+2tanA][cos A-1/cos²A]

= [sec²A+2tanA][cos²A-1/cos²A]

= [sec²A+2tanA][sin²A/cos²A]

= [1/cos²A+2sinA/cosA][sin²A/cos²A]

= sin²A/cos²A

= 1

Therefore, the value of (1+tan2A)(1-sec A)(1+sec A) is 1.

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Answer:

74.25

Step-by-step explanation:

|z|= 2 √(5), |2z|=4 √(5)  and |3z|=6 √(5).  |2z|= 2|z|  this relationship holds true.

In mathematics, the modulus, also known as the absolute value or magnitude, is a function that returns the positive value of a number regardless of its sign. The modulus function is denoted by the vertical bars surrounding the number or expression, for example, |x| or |a-b|.

The modulus of a number is defined as the distance of that number from zero on the number line. For example, the modulus of 5 is 5, while the modulus of -5 is also 5. This is because both 5 and -5 are located at a distance of 5 units from zero on the number line.

The modulus function can also be used to express the distance between two numbers. For example, the modulus of the difference between two numbers a and b is written as |a-b|. This gives the distance between the two numbers on the number line, regardless of their signs.

We are given that z = 4 - 2i.

The magnitude (absolute value) of a complex number a + bi is given by |a + bi| = √(a² + b²).

Therefore, we have:

|z| = |4 - 2i| = √(4² + (-2)²) = √20) = 2 √(5)

To find |2z| and |3z|, we multiply z by 2 and 3, respectively, and then take the magnitude:

|2z| = |2(4 - 2i)| = |8 - 4i| = √(8² + (-4)²) = √(80) = 4 √(5)

|3z| = |3(4 - 2i)| = |12 - 6i| = √(12² + (-6)²) = √(180) = 6 √(5)

Finally, we can investigate if |2z| = 2|z|:

|2z| = 4 √(5)

2|z| = 2(2 √(5)) = 4 √(5)

Since |2z| = 2|z|, this relationship holds true.

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The cost to move in for Victoria and Michael is $7,645.

The cost to move into the apartment for Victoria and Michael can be found by calculating the sum of the application deposit, credit report cost, security deposit, first and last month's rent, and the broker fee.

Using the given information:

$150 is the application deposit

$35 is the cost of the credit report

Security deposit is 1 month's rent which is $2,200

First and last month's rent are also $2,200 each.

Thus, the total amount for these two months will be $4,400

The broker charged 2.5% of the yearly rent.

The yearly rent is $2,200 × 12 months = $26,400.

Therefore, the broker fee will be 2.5% of $26,400 which is $660.

Total cost to move in = $150 + $35 + $2,200 + $2,200 + $660 + $2,200 = $7,645

Therefore, the cost to move in for Victoria and Michael is $7,645.

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Answer:

(72 oz.     $17.99)------------>Least expensive

(32 oz.     $7.32)------------>middle

(48 oz.     $9.60)------------>most expensive

Step-by-step explanation:

Once you understand how to do it, it's easy!

Just divide the ounces by the price to findout the cost

72 ÷ 17.99 = 4.00

32 ÷ 7.32  = 4.37

48 ÷ 9.60 = 5.00

4.00 < 4.37 < 5.00

Least, Middle, most

Good Job! Pls Brainliest!   ;)

The value of the num will be 18 after the expression is evaluated.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-

num = x y

num = [ ( 4 x ( 9 / 2 ) ]

num = 9 x 2

num = 18

Therefore, the value of the num will be 18 after the expression is evaluated.

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The solutions for the compound inequality are (-8,4) or -8 < x < 4

To solve this, lets divide the inequality in two cases:

Then let's solve each separeately:

Now for the second part:

The the solutions are all x that are bigger than -8 and smaller than 4. We can write this like x = (-8,4) or -8< x < 4

The required equation of line v perpendicular to line u is given as y = -x - 9

Given that,
Line u has an equation of y=-x+7. line v is perpendicular to line u and passes through (-8,-1).

The line is a curve showing the shortest distance between 2 points.

here,
The slope of the line perpendicular to the other is given as the negative reciprocal of the slope of another line,
So,
The slope of line v = - 1/ slope of the line u
m = -1/1
m = -1
Now,
Line v is passing by points [-8, -1],
Equation of the line v is given as,
y + 8 = -1 [x + 1]
y = -x - 1 - 8
y = -x -9

Thus, the required equation of line v perpendicular to line u is given as y = -x -9.

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Step-by-step explanation:

5,200,000 = 5.2 × 10⁶

so, we have

(5.2 × 10⁶) × (8.3 × 10²) - (3.1 × 10⁸)

(5.2 × 8.3 × 10⁸) - (3.1 × 10⁸)

(43.16 × 10⁸) - (3.1 × 10⁸) = 40.06 × 10⁸ = 4.006 × 10⁹

Answer:

The number is rational

Step-by-step explanation:

89.396668 is terminating decimal number

Therefore it is rational.

Answer:it is a rational number

To calculate the central tendency of the variable "achievement score," George can use several measures, including the mean, median, and mode. The choice of measure depends on the nature of the data and the specific requirements of the analysis. Here's a brief explanation of each measure:

1. Mean: The mean is the average of all the achievement scores. It is calculated by summing up all the scores and dividing by the total number of scores. The mean is commonly used when the data is roughly symmetric and does not have extreme outliers.

2. Median: The median represents the middle value when the data is sorted in ascending or descending order. If there is an odd number of scores, the median is the exact middle value. If there is an even number of scores, the median is the average of the two middle values. The median is often used when the data has outliers or is skewed.

3. Mode: The mode is the value or values that appear most frequently in the data. It can be useful when there are prominent peaks or clusters in the distribution, or when dealing with categorical data.

The choice of the appropriate measure depends on the specific characteristics of the achievement score data, such as its distribution, presence of outliers, and the research question at hand. For example, if the data is normally distributed without outliers, the mean may provide an accurate representation of the central tendency.

However, if the data is skewed or contains extreme values, the median might be a more robust measure. Similarly, if the data is categorical or has distinct clusters, the mode could be informative.

Therefore, George should consider the nature of his achievement score data and the specific requirements of his analysis to determine the most suitable measure of central tendency.

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The mass (in grams of each muffin out of the 100 muffins is 5802 g

given data

number of identical muffins = 100

Total mass of muffins = 5802 g

Deductions from the question

let each muffin have a mass of x such that

100 * x = 5820

100x = 5802

x = 5802 / 100

x = 58.02

Therefore the mass of each muffin is 58.02 g. and this results to mass of 100 muffins being 5802 g

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Answer:

\(\left(a+4\right)\left(a-5\right)\)

Step-by-step explanation:

Break the expression into groups.

=(a^2+4a)+(−5a−20)

Factor out a from a2+4a:     a(a+4)

Factor out −5 from −5a−20:     −5(a+4)

=a(a+4)−5(a+4)

Answer:

x = 2

Step-by-step explanation:

The image shows a large rectangle with a similar, smaller triangle inside of it. The small leg on the small rectangle is 4, and the small leg on the large rectangle is 12. This tells me that the scale factor is 3.

If the scale factor is 3, then

\(6*3=6+6x\)

Simplify

\(18=6+6x\\12=6x\\x=2\\\)

Answer:

The answer is 6

Step-by-step explanation:

Why is it 6? because surface means like the total faces it has.

Answer:

A. 1

B. 7

C. 2

D. 10

,,,,,,,,,,

Answer:

6  1/4

Step-by-step explanation:

The expression that represents the statements are

1. R = 114+P

2. M = 10+2B

3. H = 1/2M -29

Linear expressions are those statements that each term is either a constant or a variable raised to the first power.

In linear expressions, the highest power of the variable is 1.

In the first statement 'Rhona got 114 more votes Tham Petro'. Let's represent the votes for Rhona by R and for Pedro by P

therefore R = 114+ P

In the second statement 'Matt took 10 minutes longer than twice as long as Bryce took to do his assignment'

Let's represent the time it took Matt to do his assignment' by M and time it took Bryce by B.

then,

M = 10+2B

In the third statement 'A hamburger costs 29 cents less than half as much as a full meal'.

Let's represent the cost of hamburger by H and the cost of full meal' by M, then,

H = 1/2M -29

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To implement an importance sampling algorithm for obtaining the posterior probability that theta>20, you would sample from a proposal distribution, calculate the importance weights, and estimate the posterior probability by summing the importance weights.

To implement an importance sampling algorithm for obtaining the posterior probability that theta>20, you would follow these steps:

Define the target distribution: The posterior probability that theta>20 can be obtained by calculating the integral of the posterior distribution over the region where theta>20.

Sample from the proposal distribution: In importance sampling, we sample from a proposal distribution that is easy to sample from and has non-zero probability where the target distribution is non-zero. In this case, we can choose a gamma distribution as the proposal distribution, with parameters alpha and beta.

Calculate the importance weights: For each sample from the proposal distribution, calculate the importance weight by taking the ratio of the target distribution and the proposal distribution evaluated at that sample. In this case, the target distribution is the posterior distribution of theta given the data, which is a Poisson-Gamma distribution, and the proposal distribution is the chosen gamma distribution.

Estimate the posterior probability: Estimate the posterior probability by summing the importance weights for all the samples where theta>20 and dividing by the total number of samples. This gives an unbiased estimate of the posterior probability that theta>20.

The algorithm can be implemented as follows:
- Choose values for alpha and beta for the proposal gamma distribution.
- Generate N samples from the proposal gamma distribution.
- For each sample, calculate the importance weight using the ratio of the target and proposal distributions.
- Sum the importance weights for all samples where theta>20.
- Divide the sum by the total number of samples to estimate the posterior probability that theta>20.

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When X=181 we have  Z=3.25 and when X=46  we have Z= -2.38

What is mean?

A dataset's mean (also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. It is frequently referred to as the "average" and is the most widely used measure of central tendency.

we are given that

mean = 103

and

standard deviation = 24

here we know that

Z=(X-mean)/ standard deviation

now,

(a) X= 181

Z=(X-mean)/ standard deviation

=(181-103)/24

=78/24

=3.25

therefore we have Z=3.25

(b) X=46

Z=(X-mean)/ standard deviation

Z=(46-103)/24

= -57/24

=  - 2.375

= -2.38

therefore we have Z= -2.38

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Answer:b

Step-by-step explanation:

Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer.

The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.

The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.

Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

3. The correct answer is A. The system is very well-engineered.

In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.

Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.

When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.

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Answer:

  10 meters

Step-by-step explanation:

You want the length of a 200 square meter tarp that has a width of 20 meters.

The area of a rectangle is given by ...

  A = LW

Filling in known values, we have ...

  200 m² = L · (20 m)

  L = (200 m²)/(20 m) = 10 m . . . . . . . divide by the coefficient of L

The tarp is 10 meters long.

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There are number of 42 different types of shirts are available from this company.

We have to given that,

A shirt company had 3 designs each of which can be made with short or long sleeves.

And, There are 7 patterns available.

Hence, Total number of different types of shirts are available from this company are,

⇒ 3 × 2 × 7

⇒ 42

Thus, There are 42 different types of shirts are available from this company.

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Answer:

i think its A=12BH+12BiH

------------------------------------

The measure of the complement of the angle is A) 54.

Given:

The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3.

Let x be the angle.

supplement of the angle of x is = 180-x

complement of the angle of x is = 90 -x

180 - x / 90 -x = 8/3

3(180-x) = 8(90-x)

3*180 - 3*x = 8*90 - 8*x

540 - 3x = 720 - 8x

-3x+8x = 720 - 540

5x = 180

divide by 5 on both sides

x = 180/5

x = 36

Complement of the angle = 90 - 36

= 54

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