Solve for x.
6x = - 48

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

Hi there!

\(slope=\frac{y_2-y_1}{x_2-x_1}\) where the given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in any two points; plug in (9,2) and (3,-2)

\(=\frac{-2-2}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}\)

Therefore, the slope is \(\frac{2}{3}\).

I hope this helps!

a. The joint event implies that X(t) = t - A(t) is less than or equal to t - x and Y(t) = X(t) - y is greater than 0. Therefore, P{A(t)>x, Y(t)>y} can be expressed as the probability of X(t) being less than or equal to t - x and greater than y.

b. The joint density function as the product of the marginal density functions for A(t) and Y(t). Integrating over the respective ranges will give us the marginal densities.

c. The joint probability distribution of A(t) and Y(t) depends on the Poisson process and the interarrival times.

d. The sum of the first N(t) interarrival times is less than or equal to t + x.

(a) To find P{A(t)>x, Y(t)>y}, we need to consider the joint event where the age at time t, A(t), is greater than x and the excess life at time t, Y(t), is greater than y. Since A(t) and Y(t) are complementary variables (A(t) = t - X(t), where X(t) is the remaining life at time t), the joint event implies that X(t) = t - A(t) is less than or equal to t - x and Y(t) = X(t) - y is greater than 0. Therefore, P{A(t)>x, Y(t)>y} can be expressed as the probability of X(t) being less than or equal to t - x and greater than y.

(b) To obtain the marginal densities for A(t) and Y(t), we need to integrate the joint density function over the appropriate ranges. Since A(t) and Y(t) are related through X(t) = A(t) + Y(t), we can express the joint density function as the product of the marginal density functions for A(t) and Y(t). Integrating over the respective ranges will give us the marginal densities.

(c) The two random variables, A(t) and Y(t), are not independent. Their values are related through X(t) = A(t) + Y(t), and the joint probability distribution of A(t) and Y(t) depends on the Poisson process and the interarrival times.

(d) P{SN(t)+1>t+x} represents the probability that the sum of the first N(t) interarrival times is greater than t + x. This can be calculated by summing the probabilities of the complementary event, where the sum of the first N(t) interarrival times is less than or equal to t + x.

(e) P{SN(t)≤s} represents the probability that the sum of the first N(t) interarrival times is less than or equal to s. This can be calculated by summing the probabilities of all possible combinations of N(t) interarrival times that add up to a value less than or equal to s.

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We have one line in the plane as the perpendicular bisector of the segment.

This is the term that is used to refer to the line that is able to bisect another line in a right angle. This line would bisect it through the point of intersection.

We are told that when it is line in a plane, it would have one perpendicular bisector but it would be infinite if it is in space.

Hence we can conclude that We have one line in the plane as the perpendicular bisector of the segment.

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The radius of convergence of the resulting series is infinite, and the series is the exponential series. Therefore, the series solution in terms of familiar elementary functions is $$y=a_0e^{x}$$

A power series solution of the differential equation is a series solution of the differential equation that is a power series.

Here, we'll find a power series solution of the differential equation in Problems 1 through 10. We will determine the radius of convergence of the resulting series and use the series in Eqs. (5) through (12) to identify the series solution in terms of familiar elementary functions. Let's get started.1. y = y

To find the solution of the given differential equation, we can assume that the solution is in the form of the power series as follows:

$$y=\sum_{n=0}^\infty a_nx^n$$

Now, we will differentiate it and substitute both in the given differential equation.

$$y'=\sum_{n=0}^\infty na_nx^{n-1}$$

$$y''=\sum_{n=0}^\infty n(n-1)a_nx^{n-2}$$

Substituting the above values in the given differential equation, we get:

$$\begin{aligned}y''&=y\\ \sum_{n=0}^\infty n(n-1)a_nx^{n-2}&=\sum_{n=0}^\infty a_nx^n\end{aligned}$$

Now, we will rewrite the first summation by changing the index from n to n+2 as follows:

$$\begin{aligned}\sum_{n=0}^\infty (n+2)(n+1)a_{n+2}x^{n}&=\sum_{n=0}^\infty a_nx^n\end{aligned}$$

Comparing the coefficients of like terms of both the summations, we get the following

$$\begin{aligned}(n+2)(n+1)a_{n+2}&=a_n\end{aligned}$$

$$\begin{aligned}a_{n+2}&=\frac{-a_n}{(n+1)(n+2)}\end{aligned}$$

The first few terms are given by:

$$a_2=-\frac{a_0}{2\times1}, a_4=\frac{a_0}{4\times3\times2\times1}, a_6=-\frac{a_0}{6\times5\times4\times3\times2\times1},..., a_{2n}=\frac{(-1)^na_0}{(2n)!}$$

Therefore, the solution of the differential equation is:

$$y=a_0\left[1-\frac{x^2}{2!}+\frac{x^4}{4!}-\frac{x^6}{6!}+...\right]$$

$$y=a_0\sum_{n=0}^\infty \frac{(-1)^nx^{2n}}{(2n)!}$$

The radius of convergence of the resulting series is infinite, and the series is the exponential series.

Therefore, the series solution in terms of familiar elementary functions is$$y=a_0e^{x}$$

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Using the concept of ratios and proportions and with the provided ratio and total number of students, The answer is 55 .

A ratio is a way of comparing two or more quantities by using division. It is a way of expressing a relationship between numbers, typically represented by a fraction. The numbers being compared are called the "terms" of the ratio. For example, a ratio of 3:5 compares the value of 3 to the value of 5. It can also be written as 3/5. Ratios can be used to compare many different types of quantities, such as lengths, weights, or time. Ratios are also used to express the relationship between different parts of a whole, for example, the ratio of girls to boys in a class, or the ratio of water to flour in a recipe.

A proportion is a statement that two ratios are equivalent. It is an equation that compares two ratios to see if they are equal. Proportions are written in the form of "a/b = c/d" where a, b, c, and d are numbers. For example, "3/5 = 6/10" is a proportion because it states that the ratio of 3 to 5 is equal to the ratio of 6 to 10. A proportion can also be used to find a missing value when we have a proportion and the value of three of the terms. This method is called cross-multiplication.

3x+17x+18x = 690

x=690/38

teacher number = x*3 = 690/38 * 3 = 55

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Answer:

2nd one i think

Step-by-step explanation:

The probability of outcome e4 is 0.1, which means the option (b). 0.100 is the correct answer.

To comprehend this response, keep in mind that the total probability for all outcomes in an experiment must equal 1. We now know the probability for e1, e2, and e3, which total 0.9 (0.2 + 0.3 + 0.4 = 0.9). Because the total of probabilities must equal one, we may remove 0.9 from one to get the chance of e4. As a result, the likelihood of e4 is 0.1 (1 - 0.9 = 0.1).

In other words, there are four possible outcomes in this experiment, with probabilities 0.2, 0.3, 0.4, and an unknown for e4. We may multiply the known probabilities by 0.9, leaving 0.1 for e4. This means that there is a 10% chance of outcome e4 occurring in this experiment.

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Answer:

The company will be required to earn a net income of $600,000.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The cost of paving the parking spot is $50 xy dollars.

The area of the parking spot can be calculated as the product of the length and the width. Therefore, Jerry will have to pay $50 per square unit to pave the parking spot. If the length and width of the parking spot are known, then it is possible to find the cost of paving the parking spot. The answer should be written in the main part and explanation of the solution.  Let's assume that the length of the parking spot is x units, and the width is y units. Therefore, the area of the parking spot is A = x.y square units.

The cost of paving the parking spot is \$50 per square unit. Therefore, the cost of paving the parking spot is given by:

C = $50 A dollars

Now we can substitute the value of A in terms of x and y to get:

C = $50 xy dollars

In conclusion, we have calculated the cost of paving the parking spot given the length and width of the parking spot and the cost per square unit.

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The required values of the given scale images are as follows:

a. x = 17.5, b. x = 16.67, and x = 5.

a. As we know that scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

As per the given figure a, we can be written as:

35/x = 18/9

35 × 9 = 18x

x = (35 × 9)/18

x = 17.5

b. As per the given figure b, we can be written as:

x/10 = 15/9

x = (15 × 10)/9

x = 150/9

x = 16.67

c. As per the given figure c, we can be written as:

x/2 = 15/6

x = (15 × 2)/6

x = 5

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The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Answer:

Abc

Step-by-step explanation:

2b + c + 3a = Abc

Answer:

56

Step-by-step explanation:

Since vertical angles are equal, we know the two angles labeled are equal.

We can then set up an equation to get

\(19x-28=9x+52.\)

Subtracting \(9x\) from both sides to isolate the variable gives us

\(10x-28=52\).

Then, adding \(28\) to both sides gives

\(10x=80,\)

and dividing both sides by 10 gives

\(x=8.\)

Now, we can find the measure of \(9x+52\) by plugging what we found for \(x\) in:

\(9(x)+52=9(8)+52=72+52=124.\)

Since the angles ? and 9x+52 make up a line, they are supplementary. Therefore, we have

\(?=180-(9x+52)=180-124=\boxed{56}.\)

Answer:

Step-by-step explanation:

Hello friend !!!

0.31 as a fraction is \(\frac{31}{100}\)

Hope this helps

plz mark as brainliest!!!!!!!

0.31 as a fraction is 31/100

The function f(x)=\(x^2\)-2x+3 after putting x=1 then f(1)=2.

What is function?

An association between each element of a non-empty set A and at least one element of a different non-empty set B is called a function. In mathematics, a function is defined as a relation f between a set A (the function's domain) and a set B (its co-domain). f = (a,b)| for all values of a A and b B. Every element of set A must have exactly one image in set B for a relation to be considered a function. A relation from a non-empty set B is called a function if it has the property that no two separate ordered pairs in f have the same first element.  

Here the given function is ,

=> f(x)=\(x^2\)-2x+3

Now put x= 1 then

=> f(1) = \(1^2\)-2(1)+3

=>f(1) = 1-2+3

=> f(1) = 2

Hence the value of f(1)=2.

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Step-by-step explanation:

Here is the solution that you have asked.

When the -121 moves to the other sides it becomes positive.

Similarly, when the square of x moves to the other side it becomes root if the 121 .

Hence, The value of X becomes 11, which is the requires answer.

Answer:

x=11

x= -11

Step-by-step explanation:

The equations that are equivalent are B×10p = 2 and D×p = 20.

Given, For $5.00, Jamie purchased a notebook and a box of pencils.

10 pencils are contained in a box, and the notepad costs $3.00.

The price of one pencil can be calculated using the equation 3+10p=5.

According to the question:

3 ₊ 10p = 5

10p = 5 ₋ 3

10p = 2

p = 2/10

p = 0.2

equations can be :

B × 10p = 2 and D × p = 0.20

Hence we get the equations as: B × 10p = 2 and D × p = 0.20

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The missing statement in the proof is ∠SXT ≅ ∠SVT  by AAS of similar triangles.

1. ∠TXU ≅ ∠TVS  by given

2. ∠STV ≅ ∠UTX by reflex. prop.

3. △STU is an equilateral triangle by  given

4. ST ≅ UT  because sides of an equilat. △ are ≅

5. ∠SXT ≅ ∠SVT by AAS of similar triangle

6. UX ≅ SV by CPCTC

In △SXU and △TVS, we have already proved that ∠TXU ≅ ∠TVS (statement 1) and ∠STU ≅ ∠VTS (statement 2).

Also, we know that ST ≅ UT (statement 4) and so SX ≅ TV (by subtracting UX from both sides).

Therefore, we have two pairs of congruent angles and a pair of congruent sides that are included between these angles which satisfies the AAS congruence criterion, and so we can conclude that △SXU ≅ △TVS.

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Answer:

see explanation

Step-by-step explanation:

The 4 sides of a rhombus are congruent.

(i)

2y + x - 4 = 2x - y ( subtract 2x - y from both sides )

3y - x - 4 = 0 ( add 4 to both sides )

3y - x = 4 → (1)

and

\(\frac{4x-3y+5}{2}\) = 2x - y ( multiply both sides by 2 to clear the fraction )

4x - 3y + 5 = 4x - 2y ( subtract 4x - 2y from both sides )

- y + 5 = 0 ( subtract 5 from both sides )

- y = - 5 ( multiply both sides by - 1 )

y = 5

substitute y = 5 into (1)

3(5) - x = 4

15 - x = 4 ( subtract 15 from both sides )

- x = - 11 ( multiply both sides by - 1 )

x = 11

(ii)

then

2x - y = 2(11) - 5 = 22 - 5 = 17

perimeter = 4 × 17 = 68 cm

The statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

The statement is false. An eigenvector is a non-zero vector that, when multiplied by a matrix, produces a scalar multiple of itself. In other words, if v is an eigenvector of a matrix A, then Av = λv, where λ is the corresponding eigenvalue.

The statement suggests that if a is an nn matrix (presumably an n x n matrix), and a scalar α exists such that αv is an eigenvector of a, then v must also be an eigenvector of a. However, this is not necessarily true.

Let's consider a counterexample to demonstrate this. Suppose we have the 2x2 identity matrix I:

I = [[1, 0],

    [0, 1]]

In this case, any non-zero vector v will satisfy the condition αv = v for α = 1. However, not all non-zero vectors v are eigenvectors of I. In fact, the only eigenvectors of I are [1, 0] and [0, 1] with corresponding eigenvalues of 1.

Therefore, the statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

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Given the values for the length and width of the rectangle, area of the rectangle is 16.625 square centimeter.

A rectangle simply a is a 2-dimentional shape in geometry with 2 equal opposite sides and 4 corners each at 90 degrees.

The area of a rectangle is;

A = Length × Width

A = L × W

Given the data in the question;

To determine the area of the retcangle, we substitute our given values into the expression above.

A = L × W

A = 4.5cm × 3.25cm

A = 16.625cm²

Therefore, the area of the rectangle with the given length and width is 16.625cm².

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Answer:

x= -19.2

Step-by-step explanation:

Ratios can be rewritten as fractions

x+8=7x/12

12(x+8)=7x

12x+96=7x

-5x=96

x= -19.2

In general, different refrigerants should not be mixed or recovered into the same cylinder.

Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.

When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.

The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.

To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.

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The number of different refrigerants that may be recovered into the same cylinder is zero.

When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.

The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.

Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.

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Answer:

y≥1-10x/3

Step-by-step explanation:

3y ≥ 1 - 10x

Divide both sides by the coefficient of y (3)

y ≥ 1 - 10x / 3

Answer:
its B.

Step-by-step explanation: just take half off the numbers, and then you have your answer. simple.

Answer:

Step-by-step explanation:

Blank 1) Y

Blank 2) 4x+5(3x+9)=7

Blank 3) 4x + 15x + 45 = 7

Blank 4) x= -2

Blank 5) y = 3

The candy distributor needs to use 30 kilograms of 10% fat-content chocolate and 70 kilograms of 50% fat-content chocolate to create 100 kilograms of a 14% fat-content chocolate.

To solve this problem, we can use the method of mixture problems, which involves setting up a system of equations. Let x be the number of kilograms of the 10% fat-content chocolate and y be the number of kilograms of the 50% fat-content chocolate.

We have two equations based on the fat content and the total weight of the mixture:

0.1x + 0.5y = 0.14(100) (equation for fat content)

x + y = 100 (equation for total weight)

We can solve this system of equations using substitution or elimination. Using substitution, we can solve for x in terms of y from the second equation and substitute it into the first equation:

x = 100 - y

0.1(100 - y) + 0.5y = 0.14(100)

10 - 0.1y + 0.5y = 14

0.4y = 4

y = 10

Then we can substitute y = 10 back into the equation for x and get:

x = 100 - y = 100 - 10 = 90

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Answer:

A

Step-by-step explanation:

Answer:

6 rides: 2.50r+24 39

Step-by-step explanation:

6 rides: 2.50r+424 39