Let y (x) be the solution of the differential equation xlogxdydx+y=2xlogx
, x≥1
. Then y (e) is equal to,
(a). e
(b). 0
(c).2
(d). 2e

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.M is  12.

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.

The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

3 + 0.75m = 12

(3/4)m = 9

m=12

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6.5 m far from the airport can Courtney travel for $12.

What is a linear equation?

It is referred to as the relationship between two variables, and a straight line is produced when the linear equation's graph is shown.

If there is just one variable in the equation, it is referred to as a linear equation in one variable.

A linear equation in algebra is one that only contains a constant and a first-order (linear) component, like y=mx+b, where m is the slope and b is the y-intercept.

In Houston, taxis charge $3 plus $.75 per mile for an airport pickup.

3  + 75 m = 78

78 m / 12  = 9

m = 78 / 12  =  6.5 m

6.5 m far from the airport can Courtney travel for $12.

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Answer:

60

_

100 * 10=

Step-by-step explanation:

6% so that your answer

For this you will use

FV = PV (1+r)^t

FV = Future Value

PV = Present Value

r = rate

t or n = number of periods

$60 is PV

10% (.10) is rate.

2 years is number of periods.

FV = $60(1.10)^2

FV = $72.60

First, let's determine what (1/3) to the power of 4 is:

1/3 x 1/3 x 1/3 x 1/3 = 1/81

(1 x 1 x 1 x 1 = 1; 3 x 3 x 3 x 3 = 81)

1/81

Now what is 3 as a decimal?

We have to use the same denominator as 1/81 to be able to do a subtraction:

81 x 3 = 243

3 = 243/81

243/81 - 1/81 = 242/81

The answer is D.

Hope this helps! :) If you have any questions, let me know.

The largest possible sample space for a standard deviation is infinity as the number of observations can be infinity.

The standard deviation is a measurement of how much a group of values vary or are dispersed. While a high standard deviation suggests that the values are dispersed throughout a larger range, a low standard deviation suggests that the values tend to be near to the established mean.

There are several mean types in mathematics, particularly in statistics. Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.

The standard deviation is significant because it reveals the degree of dispersion of the values in a particular dataset. Every time we examine a dataset, we look for the following metrics: the dataset's geographic center. The mean and median are the two metrics most frequently used to gauge the "center."

The largest possible sample space for a standard deviation is infinity as the number of observations can be infinity.

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Quadrilateral PQRS was translated 8 units to the right and 7 units up to create quadrilateral P'Q'R'S' using the rule is (x, y) ⇒ (x + 8, y + 7)

Transformation is the movement of a point from its initial location to a new location. Transformation can either be rigid like translation, rotation, reflection or it can be non rigid like dilation.

Translation is a rigid transformation because it preserves the shape and size. Translation is the movement of a point either up, left, right or down in the coordinate plane.

Quadrilateral PQRS was translated 8 units to the right and 7 units up to create quadrilateral P'Q'R'S'.

The rule is (x, y) ⇒ (x + 8, y + 7)

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Answer: what grade u in?

Step-by-step explanation:

The value of f + g when function f(x) = 3x³- 6x  g(x) = x² + 8x - 9  is 3x³ +x² + 2x - 9.

What is a function?

Function can be defined in which it relates an input to output.

Given functions ,

f(x) = 3x³ - 6x

g(x) = x²  + 8x - 9

So,

f+g = 3x³ - 6x + x²  + 8x - 9

= 3x³ +x² - 6x  + 8x - 9

=  3x³ +x² + 2x - 9

So , f+g  = 3x³ +x²  + 2x - 9

Therefore, The value of f + g when f(x) = 3x³ - 6x  g(x) = x² + 8x - 9  is

3x³  +x² + 2x - 9

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To calculate the kernel, locate the vector subspace in which the homogeneous implicit equations result from the linear transformation formula's component parts being equal to zero.

A function from one vector space to another that respects the underlying (linear) structure of each vector space is called a linear transformation.

A linear operator, or map, is another name for a linear transformation.

The zero transformation and identity transformation are two significant illustrations of linear transformations.

An illustration of a linear transformation is the zero transformation, which is denoted by T(x)=(0) for every x.

Also linear is the identity transformation denoted by T(x)=(x).

Find the vector subspace in which the implicit equations are the homogeneous equations produced when the components of the linear transformation formula are equal to zero in order to compute the kernel.

This is the same as finding the null space of the linear transformation matrix.

Therefore, to calculate the kernel, locate the vector subspace in which the homogeneous implicit equations result from the linear transformation formula's component parts being equal to zero.

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In this case, the x sampling distribution will be normal, with a mean equal to the population mean (u) and a standard deviation equal to the population standard deviation (a) divided by the sample size squared (n).

The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

Here,

The central limit theorem asserts that, regardless of the form of the underlying population, as the sample size, n, grows, the sampling distribution of x becomes essentially normal, provided n is big enough (usually n >= 30). This is because, regardless of the form of the underlying population, the sum of independent random variables from the same population will tend to become regularly distributed. In this situation, the sampling distribution of x will resemble a normal distribution, with a mean equal to the population mean (u) and a standard deviation equal to the population standard deviation (a) divided by the sample size squared (n).

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3(x+5)-2 is 3x + 13.

Knowing this information, all you have to do is find an equivalent expression to 3x + 13.

I'll see you in class tomorrow.

I'm kind of disappointed.

You were my favorite student too.

(and yes, I do have a secret undercover teacher account.)

Answer:4

Step-by-step explanation:

4

Answer:

4

Step-by-step explanation:

Answer:

24 bricks will cover a 5.15 meter wall

Step-by-step explanation:

1 meter = 1000 mm

5.15 meters = 5150 mm

5150/215 = 23.9534884

23 bricks will not be enough because 23 x 215 = 4945

24 will be the better option because 215 x 24 = 5160

So 24 bricks will cover a 5.15 meter wall

The pints of white paint molly used to paint her bedroom walls is 5.58 pints.

Quantity of paint molly used for her bedroom walls= 9.3 pints

Fraction of blue paint= 2/5 of 9.3 pints

= 2/5 × 9.3

= 0.4 × 9.3

= 3.72 pints

Quantity of white paint = Quantity of paint molly used for her bedroom walls - Quantity of blue paint

= 9.3 pints - 3.72 pints

= 5.58 pints

Hence, Molly used 5.58 pints of white paint to paint her bedroom walls.

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the solution to the pair of equations is u = (1,1) and v = (1,0).

u + 3v = (2,1)

3u + v = (3,2)

u = (1,1) and v = (1,0)

The first equation can be written as:

u + 3v = (2,1)

We can rewrite this equation as:

u + 3(1,0) = (2,1)

By substituting the values of i and j, we can solve for u:

u + (3,0) = (2,1)

u = (2-3,1) = (-1,1)

Now, we can substitute the value of u in the second equation:

(1,1) + v = (3,2)

By subtracting (11) on both sides, we can solve for v:

v = (3-1,2-1) = (2,1)

Therefore, the solution to the pair of equations is u = (1,1) and v = (1,0).

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The area of the base of the solid is equal to e^-2 - 2.

A base of a solid is the region bounded by y = e^-x, the x-axis, the y-axis, and the line x = 2.

To find the area of the base, we need to find the region that is bounded by y = e^-x, the x-axis, and the line x = 2. The x-axis and the line x = 2 act as boundaries, so we need to find the points where y = e^-x intersects these two lines. The x-axis is at y = 0, so the point of intersection is found by solving the equation:

0 = e^-x

Taking the natural logarithm of both sides, we get:

x = -ln(0) = ∞

The line x = 2 intersects y = e^-x at:

e^-x = 2

Taking the natural logarithm of both sides, we get: -x = ln(2)

And solving for x, we get: x = -ln(2)

So, the area of the base is the region bounded by x = -ln(2), x = 2, and y = e^-x. This can be found by integrating e^-x from x = -ln(2) to x = 2. The result is: A = ∫_{-ln(2)}^{2} e^-x dx = -e^-x |_{-ln(2)}^{2} = e^-2 - e^-(-ln(2)) = e^-2 - e^ln(2) = e^-2 - 2.

Therefore, the area of the base of the solid is equal to e^-2 - 2.

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Answer:

x [tex]\geq[/tex] 21

Step-by-step explanation:

2x - 10 [tex]\geq[/tex] 52
2x [tex]\geq[/tex] 42
x [tex]\geq[/tex] 21

(a) The probability that a passenger who died was in the third class is 528 / 817.

we can find the probability by using the formula:

P(Third Class | Died) = P(Third Class and Died) / P(Died)

Where,

P(Third Class and Died) = the joint probability of a passenger being in third class and dying

P(Died) = the probability of a passenger dying regardless of class.

We can find P(Third Class and Died) by adding the no. of passengers in third class who died (528) and then dividing by the total no. of passengers (1317)

P(Third Class and Died) = 528 / 1317

Now we can find P(Died) by adding the no. of passengers who died (817) and dividing by the total no. of passengers (1317)

P(Died) = 817 / 1317

By using the values we got, we can find P(Third Class | Died):

P(Third Class | Died) = P(Third Class and Died) / P(Died) = 528 / 817

So, the probability that a passenger who died was in the third class is 528 / 817.

(b) The probability that a passenger survived given they were in first class is 201 / 324

we can find the probability by using the formula:

P(Survived | First Class) = P(Survived and First Class) / P(First Class)

Where,

P(Survived and First Class) = joint probability of a passenger surviving and being in first class.

P(First Class) = probability of a passenger being in first class regardless of survival.

We can find P(Survived and First Class) by adding the no. of passengers in first class who survived (201) and dividing by the total no. of passengers (1317)

P(Survived and First Class) = 201 / 1317

Now we can find P(First Class) by adding the no. of passengers in first class (324) and dividing by the total no.of passengers (1317):

P(First Class) = 324 / 1317

By using the values we got, we can find P(Survived | First Class):

P(Survived | First Class) = P(Survived and First Class) / P(First Class) = 201 / 324

So, the probability that a passenger survived given they were in first class is 201 / 324.

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This system of equations has been solved graphically and their solution is equal to the ordered pair (-1, 2).

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

x + 2y = 3     ......equation 1.

-x + 3y = 7     ......equation 2.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant II and it is given by the ordered pair (-1, 2)

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function (f-1)(2) = 18 because the derivative of f at a = 2 is 18x2 + 10x.

We can find out how a function is changing at a specific point by looking at its derivative. We are required to calculate (f-1) in this scenario (2). We must first get the derivative of the given function, f(x) = 3x3 + 3x2 + 5x2, in order to perform this. The derivative of each term can be used to achieve this, giving us 9x2 + 6x + 10x. The derivative of f at a = 2 is equal to 18x2 + 10x when this is evaluated at a = 2. Now, by putting the derivative equal to 0 and finding x, we may calculate (f-1)(2). Thus, we obtain x = -1/9. Once this value has been entered, the original method returns (f-1)(2) = 18.

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Answer is 5.54 miles. The decimal digit generally refers to the representation of a number in the decimal number system, often referred to simply as a decimal, or less precisely as a decimal.

How far should the visitor run to minimize the time it takes to reach the coral reef?

Assume she runs up to a point that is x miles to the east of the coral reef: distance running =6 -x miles.

distance swimming = root of x^2+5^2= root of x^2+25.

Times: time= distance / speed time running =6-x/8

time swimming =x^2+25/8 Total time

time running + time swimming:  

T=6-x/8+x^2+25/8

The accepted method of representing integers and non-integers is the decimal number system. It is an extension of the Indo-Arabic numeral system to non-integer values. Decimal notation is a term used to describe how numbers are represented in the decimal system.

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Answer is 5.54 miles. The decimal digit generally refers to the representation of a number in the decimal number system, often referred to simply as a decimal, or less precisely as a decimal.

Assume she runs up to a point that is x miles to the east of the coral reef: distance running =6 -x miles.

distance swimming = root of x²+5²= root of x²+25.

Times: time= distance / speed time running =6-x/8

time swimming =x²+25/8 Total time

time running + time swimming:  

T=6-x/8+x²+25/8

The accepted method of representing integers and non-integers is the decimal number system. It is an extension of the Indo-Arabic numeral system to non-integer values. Decimal notation is a term used to describe how numbers are represented in the decimal system.

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If T is a linear transformation then the standard matrix of T is [tex]\left[\begin{array}{ccc}1&-19\\0&1\end{array}\right][/tex].

What is a matrix?

A matrix is a rectangular array or table with numbers or other objects arranged in rows and columns. Matrices is the plural version of matrix. The number of columns and rows is unlimited. Matrix operations include addition, scalar multiplication, multiplication, transposition, and many others.

The transformation is given as - T : IR² → IR²

Take the (x,y) values as x(1,0) and y(0,1)

(x,y) = x(1,0) + y(0,1)

Apply the transformation -

T(x,y) = T[x(1,0) + y(0,1)]

Since T is a linear map then -

T(x,y) = x T((1,0)) + y T((0,1))

Now, substitute the values -

T(x,y) = x Te1 + y Te2

T(x,y) = x [e1 - 19e2] + y [e2]

T(x,y) = x e1 + e2(-19x + y)

Resubstitute the values back -

T(x,y) = x (1,0) + (0,1)(-19x + y)

T(x,y) = (x , -19x+y)

For T : IR² → IR²

T(x,y) = (ax+by , cx+dy)

Then A = [tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right][/tex]

So, now the matrix A is -

A = [tex]\left[\begin{array}{ccc}1&-19\\0&1\end{array}\right][/tex]

Therefore, the matrix is  [tex]\left[\begin{array}{ccc}1&-19\\0&1\end{array}\right][/tex].

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for an approximate result, divide the time value by 3.154e+7

so the answer is 31.71 calendar years

There are approximately 31.71 years in 1 billion seconds. The solution has been obtained by using the unit conversion.

What is unit conversion?

A unit conversion is used to express the same attribute in a different unit of measurement. Instead of using hours to represent time, you could use minutes, and instead of using miles to express distance, you could use feet. Measurements are frequently requested in one set of units, such as chains, but are given in another set, such as feet.

We are given 1 billion seconds which are to be converted into years.

We know that 1 second = 3.171e-8 years

So,

⇒1,000,000,000 seconds = 1,000,000,000 * 3.171e-8

⇒1,000,000,000 seconds = 31.71 years

Hence, there are approximately 31.71 years in 1 billion seconds.

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Answer:

Step-by-step explanation:

i cant but someone can habha

x-coordinate of the vertex is time in seconds and y-coordinate of the vertex is the height of the football.

Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Given that Jevonte kicks a football. Its height in feet is given by h = -16t² +48t

where t represents the time in seconds after kick.

We have to find x-coordinate (or t-coordinate) of the vertex is time in seconds and y y-coordinate (or h-coordinate) of the vertex is the height of the football.

Hence, x-coordinate of the vertex is time in seconds and y-coordinate of the vertex is the height of the football.

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The parabola and line's intersection can be easily determined which the area bounded by two curves is most easily found by integrating with respect to y. So the option A is correct.

We can readily locate the area by looking at the following sketches; the first sketch, integrating with respect to x, is in figure one.

The curve in the first illustration is a parabola and a line, as you can see.

The parabola and line's intersection can be easily determined.

The area between the curves is then calculated using the formula

A = integration from a to b [(higher curve) - (lower curve)] dx,

which means that the first sketch represents the right response.

So, the first option A is correct one.

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The complete question is given below:

The volume of the region is 216.6 cubic units.

The volume of a three-dimensional object is the amount of space it occupies. When we rotate a two-dimensional region about a line, we obtain a three-dimensional object called a solid of revolution.

In this case, we are asked to find the volume of the solid of revolution obtained by rotating the region bounded by the curves y = 4x - x^2 and y = x^2 about the line x = 4.

To find the area of each slice, we need to find the radius of the disc.

In this case, the line of rotation is

=> x = 4,

so the radius of the disc at a point (x, y) on the curve is

=> 4 - x.

To find the height of the slice, we need to find the difference in y-values between the two curves at that x-value.

We can set the two curves equal to each other to find the x-values at which they intersect:

=> 4x - x² = x².

Solving for x, we find that x = -2 and x = 2 are the x-values at which the two curves intersect.

These x-values correspond to the y-values -2 and 8, respectively. Therefore, the height of the slice is

=> 8 + 2 = 10.

To find the volume of the solid, we need to integrate the product of the area of the disc and its height over the interval from x = -2 to x = 2.

The area of the disc is given by

=> π * (4 - x)².

Therefore, the volume of the solid of revolution is given by the following integral:

V = π ∫[-2,2] (4 - x)² x 10 dx

Solving this integral, we find that the volume of the solid is approximately 216.6 cubic units

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Answer:

The slope is 7/1

Step-by-step explanation:

The first valid point is at (-1,-4)

The second valid point is at (0,3)

You start at the (-1,-4) and you count up until you get at the same line as the next valid point, then you count over however many times it takes you to get to that point and in your case it would be up 7 over 1 so 7/1 and it is a positive slope

the two roots of the equation are x1 = -2.5 and x2 = -1.5.

x1 = -2.5;

x2 = -1.5.

Step 1: Calculate the discriminant

b2 - 4ac = (-2)2 - 4(2)(-3) = 4 + 24 = 28

Step 2: Calculate the roots

x1 = (-b + √D) / 2a = (-(-2) + √28) / 4 = (-2 + 5.29) / 4 = -2.5

x2 = (-b - √D) / 2a = (-(-2) - √28) / 4 = (-2 - 5.29) / 4 = -1.5

We start by calculating the discriminant, which is b2 - 4ac. In this case we have b2 = (-2)2 = 4 and ac = 2(-3) = -6, so the discriminant is 4 + 24 = 28. Then we calculate the two roots, x1 and x2, using the formula x1 = (-b + √D) / 2a and x2 = (-b - √D) / 2a. Substituting in the values we have, x1 = (-(-2) + √28) / 4 = (-2 + 5.29) / 4 = -2.5 and x2 = (-(-2) - √28) / 4 = (-2 - 5.29) / 4 = -1.5. Therefore, the two roots of the equation are x1 = -2.5 and x2 = -1.5.

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The equation for the curve shown in the form y = a cos (k (x - b)). -2, 4π/3, -π/3 y = -2cos (4π/3(x + π/3))

Determine the horizontal shift, period, and amplitude.

Given:

1. The amplitude of a cosine graph is the maximum value of the graph. In this case, the amplitude is -2.

2. The period of a cosine graph is the length of one cycle. In this case, the period is 4π/3.

3. The horizontal shift of a cosine graph is the amount the graph is shifted to the left or right. In this case,

The absolute value of the horizontal shift is less than the period, so the horizontal shift is -π/3.

4. To write the equation of the graph in the form y = a cos (k (x - b)), we can use the information from the previous steps.

We know the amplitude is -2, the period is 4π/3, and the horizontal shift is -π/3. Therefore, our equation is: y = -2cos (4π/3(x + π/3)).

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