what transformation is represented by the rule (x, y) (-x, -y)

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

The  probability that X lies between 0.2 and 0.6 is approximately 0.0828.

the probability that X is less than 0.3 is approximately 0.002.

the expected value of X is 1/6, or approximately 0.167 rounded to three decimal places.

To answer this question, we need to use the properties of probability density functions. The probability density function f(x) for a continuous random variable X must satisfy the following two properties:

1. f(x) ≥ 0 for all x
2. The total area under the curve of f(x) over the entire range of X must be equal to 1.

Using this information, we can answer the following:

a) What is the probability that X lies between 0.2 and 0.6?

To find the probability that X lies between 0.2 and 0.6, we need to integrate the probability density function f(x) over this range:

P(0.2 ≤ X ≤ 0.6) = ∫[0.2,0.6] f(x) dx
                   = ∫[0.2,0.6] 5x^4 dx
                   = [x^5]0.2^0.6
                   = (0.6^5 - 0.2^5)
                   ≈ 0.0828

Therefore, the probability that X lies between 0.2 and 0.6 is approximately 0.0828.

b) What is the probability that X is less than 0.3?

To find the probability that X is less than 0.3, we need to integrate the probability density function f(x) from 0 to 0.3:

P(X ≤ 0.3) = ∫[0,0.3] f(x) dx
           = ∫[0,0.3] 5x^4 dx
           = [x^5]0^0.3
           = 0.3^5
           = 0.00243

Therefore, the probability that X is less than 0.3 is approximately 0.002.

c) What is the expected value of X?

The expected value of X, denoted E(X), is defined as the mean of the probability density function f(x), weighted by the probabilities:

E(X) = ∫[0,1] x f(x) dx

Using the given probability density function, we can calculate the expected value as:

E(X) = ∫[0,1] x (5x^4) dx
    = ∫[0,1] 5x^5 dx
    = [x^6/6]0^1
    = 1/6

Therefore, the expected value of X is 1/6, or approximately 0.167 rounded to three decimal places.

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Step-by-step explanation:

hope it will help you....

Answer:

a) Yes, the altitude from vertex J bisects side KL in the triangle with vertices J(-5, 4), K(1, 8), and L(−1, −2).

b) AJKL is an isosceles triangle. This is because side KL has the same length, which is 6 units.

Step-by-step explanation:

An isosceles triangle has two sides of equal length and two equal angles opposite to those sides. The angles between the two equal sides are called the base angles of the triangle. In the case of AJKL, the two equal sides are KL and JK, which have a length of 6 units. The two equal angles opposite to these sides are angle AJK and angle ALK.

So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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Answer:

Segment Addition Postulate

The segment addition postulate in geometry is applicable on a line segment containing three collinear points. The segment addition postulate states that if there are two given points on a line segment A and C, then point B lies on the same line segment somewhere between A and C only if the sum of AB and BC is equal to AC.

Segment Addition Postulate Definition

The segment addition postulate states that if a line segment has two endpoints, A and C, a third point B lies somewhere on the line segment AC if and only if this equation AB + BC = AC is satisfied. Look at the image given below to have a better understanding of this postulate.

Answer: x=7/4 + 4x/5

y= -7/5 + 4x/5

Step-by-step explanation: Move all terms that don't contain  

x

to the right side and solve.

Answer:

x=3

y=1

Step-by-step explanation:

It finally let me answer

The wingspan of the new model will be 2 times larger than the wingspan of the first model.

A scale model is a physical model of an object. Scale models are often used in engineering, architecture, and filmmaking, among other fields, to simulate the appearance or functionality of real-world objects.

According to the question, 1 cm of the scale model equals 6 meters of the airplane. Thus, to find the actual wingspan of the airplane, you can multiply the wingspan of the scale model by the ratio of the actual wingspan to the wingspan of the scale model, as shown below:

Wingspan of the airplane = Wingspan of the model × Ratio

To convert the scale model ratio from 1 cm = 6 meters to 1 cm = 3 meters, divide by 2. Since Selena's model has a wingspan of 10.7 cm, you can calculate the wingspan of the actual airplane using the equation above, as shown below:

Wingspan of the airplane = 10.7 × 6/1 = 64.2 m (for the first model)Wingspan of the airplane = 10.7 × 3/1 = 32.1 m (for the new model)

Now you can compare the wingspan of the two models to determine how the wingspan of the new model compares to the wingspan of the first model.

The wingspan of the new model will be 2 times larger than the wingspan of the first model, since 64.2 ÷ 32.1 = 2. Therefore, the correct answer is that the wingspan of the new model will be 2 times larger than the wingspan of the first model.

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========================================================

Explanation:

For any parallelogram, the diagonals cut each other in half. Formally this is known as bisection.

What this means is that the pieces AE and CE are the same length.

AE = CE

6x-8 = 2x+24

6x-2x = 24+8

4x = 32

x = 32/4

x = 8

Then we can calculate the length of each piece mention

Both pieces are 40 units long to confirm we have the correct x value.

Therefore,

AC = AE + CE = 40+40 = 80

Answer:

150 student tickets

200 adult tickets

Step-by-step explanation:

We'll say student tix are x, adult are y

3x + 5y = $1450 and

x + y = 350

first, solve y in terms of x

y = 350 - x

Then substitute that into the equation to solve for x

3x + 5(350-x) = 1450

3x + 1750 - 5x = 1450

-2x = -300

x = 150

Substitute that value in to solve for y

x + y = 350

150 + y = 350

y = 200

Checking the math:

3(150) + 5 (200) = 450 + 1,000 = $1,450

The Total Proability will be 297 / 1015

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Solution:

Total Number of Regular Soft Drinks = 18

Total Number of Diet Soft Drinks = 12

Total Drinks = 18 + 12 = 30

Probability of selecting Diet Soft Drink in the first two attempt = 12/30 * 11/29 * 18/28 = 2376 / 24360

Probability of selecting Diet Soft Drink in the first and last attempt = 12/30  * 18/29 * 11/28 = 2376 / 24360

Probability of selecting Diet Soft Drink in the second and last attempt = 18/30  * 12/29 * 11/28 = 2376 / 24360

Total Probability = 3 * 2376 / 24360

Total Probability = 2376 / 8120

Total Probability = 297 / 1015

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The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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Answer:

Step-by-step explanation: The number of yellow sweets is 28. Step-by-step explanation: Ratio of red to yellow sweets is 3:7. Total sweet is 40. total ratio is 3 + 7 = 10.

Answer:

first I added all numbers together including 45. and I got 252. then I subtracted 252 from 360 and got 108. then I decided 108 by 2 and got 54. then I checked so I think answer is 54

Step-by-step explanation:

xy + 2x

the step by step solution is on the picture above, if this helped, please mark as brainliest

The function is :\(y(x) = 10 + (7/8) e^8x + (97/72) e^9x + 3 e^x\)

To find y as a function of x, we need to solve the differential equation:

\(y′′′ − 17y′′ + 72y′ = 168e^x\)

Step 1: Find the characteristic equation

\(r^3 - 17r^2 + 72r = 0\)

Factor out r:

\(r(r^2 - 17r + 72) = 0\)

Factor the quadratic:

r(r - 8)(r - 9) = 0

So the roots are:

r₁ = 0, r₂ = 8, r₃ = 9

Step 2: Find the general solution

The general solution will be of the form:

\(y(x) = C1 + C2e^8x + C3e^9x + y_p(x)\)

where y_p(x) is a particular solution to the non-homogeneous equation.

Step 3: Find the particular solution

We can use the method of undetermined coefficients to find a particular solution. Since the right-hand side is an exponential function, we can guess that the particular solution is also an exponential function:

\(y_p(x) = A e^x\)

\(y_p′(x) = A e^x\)

\(y_p′′(x) = A e^x\)

\(y_p′′′(x) = A e^x\)

Substituting into the differential equation:

\(A e^x - 17A e^x + 72A e^x = 168 e^x\)

Simplifying:

\(56A e^x = 168 e^x\)

A = 3

So the particular solution is:

\(y_p(x) = 3 e^x\)

Step 4: Find the constants using initial conditions

y(0) = C₁ + C₂ + C₃ + 3 = 16

y′(0) = 8C₂ + 9C₃ + 3 = 23

\(y′′(0) = 8^2 C2 + 9^2 C3 = 24\)

Solving for the constants, we get:

C₁ = 10, C₂ = 7/8, C₃ = 97/72

Step 5: Write the final solution

Substituting the constants and the particular solution into the general solution, we get:

\(y(x) = 10 + (7/8) e^8x + (97/72) e^9x + 3 e^x\)

So the function y(x) is:

\(y(x) = 10 + (7/8) e^8x + (97/72) e^9x + 3 e^x\)

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The result of addition of the two equations 2x + 3y=-5 and 5x - y = -12 is 7x + 2y = -17.

We have to add the two equations 2x + 3y = -5 and 5x - y = -12.

In algebra, like terms can be added or subtracted. Two equations can be added by adding their L.H.S to L.H.S and R.H.S to R.H.S. (L.H.S is Left hand side and R.H.S is Right hand side)

Adding the two equations,

2x + 3y + 5x - y = (-5) + (-12)

2x+5x+3y-y= -5-12

7x + 2y = -17

Hence, by adding 2x + 3y = -5 and 5x - y = -12, we get 7x + 2y = -17.

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The terms with "x" cancel out, and we're left with:

0 = 12

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.

Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:

Slices with only pepperoni: 6 slices

Slices with only mushrooms: 10 slices

Slices with both pepperoni and mushrooms: $x$ slices

Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices

We know that the total number of slices is 12, so we can write an equation:

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.

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Answer:Determine two values that make the equation false. (2 points)

Step-by-step explanation:

Answer: You are only giving 4 point!

Step-by-step explanation:

Given information: Mass of dolphin, m = 1800 N; Height of jump, h = 2.10 m.

The gravitational potential energy of the dolphin can be calculated as follows: Gravitational potential energy = mgh where, m is the mass of the dolphin, g is the acceleration due to gravity, and h is the height of the jump.

Given that the dolphin jumps from the water, its initial potential energy is zero. Hence, the total energy of the dolphin is equal to the potential energy at the highest point. At this point, the kinetic energy of the dolphin is also zero. Therefore, the energy conservation equation can be written as follows: mg h = (1/2)mv²where, v is the velocity of the dolphin just before it jumps out of the water.  

Solving for v, we get v = sqrt(2gh)where sqrt denotes the square root, g is the acceleration due to gravity, and h is the height of the jump. Substituting the given values, we get v = sqrt(2 x 9.8 x 2.10)v = 6.22 m/s Therefore, the dolphin must be moving at a speed of 6.22 m/s as it leaves the water in order to jump to a height of 2.10 m.

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The option (I) and (II) are correct about the statements on the y-axis .

A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial lines in the coordinate plane are the and y-axis.

The x-axis is represented by a horizontal number line, and the y-axis by a vertical number line.

The coordinate plane's x and y axes are two of its most important axes. The x-axis is represented by a horizontal number line, and the y-axis by a vertical number line. The perpendicular intersection of these two axes yields the coordinate plane.

Option (I) and Option (II) are the proper choices based on the available facts.

As a result, both options (I) and (II) are accurate, meaning

A vertical number line that runs through the origin is the y-axis. At this location, the y-axis crosses the x-axis.

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Parimal should expect at least 10 bicyclists on the path if the temperature is 0°C. According to the line of best fit equation y = 8x + 15, substituting x = 0 gives y = 8(0) + 15 = 15, indicating that the predicted number of bicyclists is 15. Since 15 is greater than 10, Parimal can expect at least 10 bicyclists on the path.

The line of best fit equation y = 8x + 15 represents the relationship between temperature (x) and the number of bicyclists (y) on the path. In this equation, the coefficient of x is 8, indicating that for every 1-degree increase in temperature, the number of bicyclists is expected to increase by 8.

To determine if Parimal should expect at least 10 bicyclists on the path when the temperature is 0°C, we substitute x = 0 into the equation. This gives y = 8(0) + 15 = 15, which means that the predicted number of bicyclists is 15.

Since 15 is greater than 10, Parimal should expect at least 10 bicyclists on the path if the temperature is 0°C. The line of best fit suggests that as the temperature increases, the number of bicyclists also increases. In this case, the model predicts that even at 0°C, there should be a significant number of bicyclists (15 in this case) on the path.

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Answer:

has no solution.

Step-by-step explanation:

you can see that the two equations are almost identical except for the fact that one is multiplied by 7, but it isnt completely multiplied correctly so there would be no solutions.

Answer:

infinite solutions  

Step-by-step explanation:

you can solve this by the elimination method. take the rover a equation and multiply it by -7 and then combine the equations. when you do this, you can see that either side equals 0 which means that there are infinite solutions.

-7(y= 1.5x - 6) which equals the equation below

-7y= -10.5x-42 then combine the other equation

7y=10.5x+42 and that equals

0=0

The function is decreasing and concave up in the interval (-10,0)∪ (0.75,∞)

The given function is given by; f(x)=x4/4+13x3/3+20x2−6For f(x) to be decreasing we must have its first derivative negative.

Thus we compute the derivative of f(x) with respect to x as follows; f'(x) = (4x³+39x²+40x)

To get the critical points we find where f'(x) = 0;f'(x) = (4x³+39x²+40x) = 4x(x²+9.75x+10)

Therefore critical points are; x = -10,0,0.75

To determine where the function is decreasing and concave up, we need to use the second derivative test. If f''(x) > 0, the graph of the function is concave up, and if f'(x) < 0, the graph of the function is decreasing. f''(x) = (12x²+78x+40)

Now we need to test the second derivative at critical points: for x = -10, f''(-10) = (12(-10)²+78(-10)+40) = -800< 0; Thus, the function is concave down.for x = 0, f''(0) = (12(0)²+78(0)+40) = 40>0;

Thus, the function is concave up.for x = 0.75, f''(0.75) = (12(0.75)²+78(0.75)+40) = 59.25>0;

Thus, the function is concave up. The intervals for f(x) to be decreasing and concave up are the ones where the first derivative is negative and the second derivative is positive.x ∈ (-10,0)∪ (0.75,∞)

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NORAL follows a hyperbolic path.

Equation of hyperbola; x²/6400 + y²/33600 = 1

Given,

The coordinates where the two NAROL transmitters are located = (-200, 0) and (200, 0)

The distance from receiver to these transmitters = 160 miles

We have to find the standard form of the hyperbola that the receiver sits on ;

Here,

The transmitters behave as foci of the hyperbola.

The center of hyperbola; (h, k) = (0, 0)

The distance from center to focal point,

c = 200

Square both sides

c² = 40,000

The distance from the receiver to the transmitters  is given as:

2a = 160

Divide both sides by 2

a = 80

Square both sides

a² = 6400

We have:

b² = c² - a²

This gives

b² = 40000 - 6400

b² = 33600

The equation of a hyperbola is:

(x - h)²/a² + (y - k)²/b² = 1

So, we have:

(x - 0)²/6400 + (y - 0)²/33600 = 1

Therefore,

The equation of the hyperbola is:

x²/6400 + y²/33600 = 1

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Answer:Kelas: 7

Mapel: matematika

Kategori

: Kata kunci aritmatika sosial: laba, rugi,

Kode impas: 7.2.6 [revisi matematika kelas 7 K13 Bab 6-aritmatika sosial]

Diskusi:

dalam kegiatan atau kondisi yang kita ketahui 3 istilah, yaitu:

1. untung

2. kehilangan

3. impas.

Jika aktivitas atau kondisi keuntungan, penarikan harga lebih kecil dari entri

Harga.

Jika kondisi peristiwa atau kerugian, harga penarikan lebih besar dari entri

Harga.

Jika aktivitas atau kondisi impas, harga pengeluaran sama dengan entri

Harga.

Mari kita lihat

Pertanyaan.

Catat tabel di lampiran 2.

1. jika harga masuk RP 700.000, 00 dan harga produksinya Rp 900,000, 00, maka harga pendapatan lebih kecil dari harga pengeluaran.

Jadi, kondisi ini

Kehilangan.

Kemudian

RP 900,000-RP 700.000

, 00 = RP 200,000 Jadi, jumlah kerugian adalah RP 200,000, 00 2.

Jika harga masuk adalah Rp 1.100.000 dan biaya pengeluaran Rp 1.100,00, maka harga pendapatan sama dengan harga penarikan.

Jadi, kondisi impas

Terjadi.

3. jika harga tiket masuk RP 2.100.000 dan harga pengeluaran RP 2.000,00, maka harga masuk lebih besar dari pengeluaran

Harga.

Jadi, kondisi yang terjadi menguntungkan

.

Kemudian

RP 2.100.000-RP 2.000.000, 00 = RP 100,000 Jadi, jumlah keuntungannya RP 100,000, 00.

4. jika harga masuk RP 1.650.000 dan harga produksi RP 1.550.000, maka harga masuk lebih besar dari pengeluaran

Harga.

Jadi, kondisi yang terjadi menguntungkan

.

Kemudian

RP 1.650.000-RP 1.550.000 = RP 100,000 Jadi, jumlah keuntungannya RP 100,000, 00.

berharap ini membantu!

The possible of choices to place the 10 positions by choosing players from the 13 people who went is 1,287,600.

To find the possible number of ways to assign the 10 positions by selecting players from the 13 people who show up, we need to use the principles of permutation and combination.

therefore, the principle of  permutation and combination can be used to derive a formula

\(P(n,r) = \frac{n!}{(n-r)!}\)

here,

n = total number of players coming

r = is the number of position made

placing the given values in the given formula

\(P(13,10) = \frac{13!}{(13-10)!}\)

\(= \frac{13!}{3!}\)

\(=1,28,600\)

The possible of choices to place the 10 positions by choosing players from the 13 people who went is 1,287,600.

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