Use the method of variation of parameters to find a particular solution to the following differential equation. y" - 12y' + 36y 6x 49 + x2

The Y intercept is (0,275) and the X intercept is (125,0). the intercepts should be the point of when the line hits the axis'

Answer:

13.448, rounded off: 13.5 ft

Step-by-step explanation:

\(r=\frac{C}{2\pi }\)

Where r = radius, C = circumference.

\(r=\frac{84.5}{2\pi } =13.448\) = 13.5 ft

Answer:

r = 13.5 ft

Step-by-step explanation:

The circumference of a circle of radius r is C = 2(pi)r.

Here, C = 84.5 ft = 2(pi) r, or

          C = 84.5 ft = 6.28r

Dividing both sides by 6.28 results in the value of r:

r = 84.5 ft / 6.28 = 13.5 ft

If a salmon eats (3/2) kilograms of krill in one week, then it will eat (9/2) kilograms in 3 weeks, calculated by simple multiplication.

As per the question statement, a salmon fish eats 3/2 kilograms of krill in one week.

We are required to calculate the amount of krill, the fish will eat in three weeks based on the above rate.

To solve this question, we simply need to multiply the amount of krill the fish eats in a week, with the number of weeks concerned, to obtain our desired answer, that is,

[(3/2) * 3] = (9/2)

Hence, If a salmon eats (3/2) kilograms of krill in one week, then it will eat (9/2) kilograms in 3 weeks.

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For a linear transformation T: R³ → R³ given by T(x) = v × x, the image of T is a plane perpendicular to vector v, and the kernel of T is the set of vectors parallel to vector v.

In the context of your question, we have a nonzero vector v in R³ and a linear transformation T: R³ → R³ given by T(x) = v × x, where × denotes the cross product.

The image of T consists of all the vectors that can be obtained by applying the transformation T to any vector x in R³. Geometrically, the cross product of two vectors results in a third vector that is perpendicular to both input vectors. Therefore, the image of T will be a set of vectors lying in a plane that is perpendicular to the vector v.

The kernel of T, on the other hand, consists of all the vectors x in R³ that satisfy the equation T(x) = 0. Geometrically, this means that the cross product v × x is the zero vector. This occurs when the vectors v and x are parallel, as their cross product will have a magnitude of 0. So, the kernel of T will be the set of all vectors that are parallel to the vector v.

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Answer:   y=-2/3x-5

Step-by-step explanation:

Answer:

M(2, −4), N(−2, 4)

Step-by-step explanation:

Transformation is the movement of a point from one place to another. If an object is transformed, all the points of the object are being changed. There are different types of transformation which are: Reflection, rotation, translation  and dilation.

Reflection of a point is the flipping of a point. If a point A(x, y) is reflected across the x axis, the new point is A'(x, -y). If a point B(x, y) is reflected across the y axis, the new point is A'(-x, y).

The coordinates of point L on a coordinate grid are (−2, −4), if Point L is reflected across the y-axis to obtain point M, the coordinates of M is at (2, -4).

if Point L is reflected across the x-axis to obtain point N, the coordinates of N is at (-2, 4).

Answer: M(2, −4), N(−2, 4) So D can i get branliest

Step-by-step explanation:

Answer:

392

Step-by-step explanation:

20• 4 + 13•24

80+ 312

Answer:

I believe it is, $80 for adults and $312 for students.

Answer:

You can make 7.5 gifts presents (or just 7)

Step-by-step explanation:

First I calculated the area of 1 box, which is 80 inches squared. Then I just divided the 600 square inches with the 80 inches. 600/80= 7.5. Therefore, you can make 7 presents (since you cannot wrap half of a present (0.5))

Hope this helps !

The given parameterization x(t) y(t) 3t 6 is equivalent to the one we found since 3t is the same as z(t) and 6 is the same as the starting value of z(t), which is 3.

To find the parameterization of the line l in r3 that passes through the points (0,1,3) and (8,7,9), we can use the following formula:

x(t) = x1 + (x2 - x1)t
y(t) = y1 + (y2 - y1)t
z(t) = z1 + (z2 - z1)t

where x1, y1, and z1 are the coordinates of the first point and x2, y2, and z2 are the coordinates of the second point.

Using this formula, we have:

x(t) = 0 + (8 - 0)t = 8t
y(t) = 1 + (7 - 1)t = 1 + 6t
z(t) = 3 + (9 - 3)t = 3 + 6t

Therefore, the parameterization of the line l in r3 is:

x(t) = 8t
y(t) = 1 + 6t
z(t) = 3 + 6t

Note that the given parameterization x(t) y(t) 3t 6 is equivalent to the one we found since 3t is the same as z(t) and 6 is the same as the starting value of z(t), which is 3.

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The segment's endpoints are at the midpoints, which are (-1/2,8).

A location in the middle of a line connecting two points is referred to as the midpoint.

The midpoint of a line is located between the two reference points, which are its endpoints.

The line that connects these two places is split in half equally at the halfway. In addition, the halfway is reached if a line is drawn to divide the line that connects these two places.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line.

The midpoint is a position that is located in the middle of the line and is equally distant from the two points if a line is drawn connecting them.

Hence, The segment's endpoints are at the midpoints, which are (-1/2,8).

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False. Athlon and A-Series processors manufactured by AMD are x86 compatible, meaning they can execute software and instructions designed for the x86 architecture.

Contrary to the statement, Athlon and A-Series processors manufactured by AMD are indeed x86 compatible. The x86 architecture, developed by Intel, has become the industry standard for personal computers and servers.

AMD, as one of the leading competitors in the processor market, has designed their processors to be fully compatible with the x86 instruction set.

The x86 architecture is characterized by its ability to handle complex and diverse tasks, providing compatibility with a wide range of software and operating systems.

Athlon and A-Series processors, being part of the x86 family, can seamlessly run software applications written for the x86 architecture without any compatibility issues.

This compatibility is essential for ensuring a smooth user experience and allowing users to leverage a vast ecosystem of software and tools that are built for the x86 platform.

AMD has made significant contributions to the advancement of x86 processors, introducing various architectural enhancements and optimizations.

These processors feature multiple cores, advanced cache systems, and support for high-performance computing tasks. They are widely used in desktop computers, laptops, and servers, catering to the needs of both consumers.

These processors are specifically designed to be fully compatible with the x86 architecture, ensuring efficient execution of software and providing users with access to a wide range of applications and tools.

The x86 compatibility of AMD processors is a significant factor contributing to their popularity and widespread use in the computing industry.

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The steps that should be followed to create a copy of cab are listed below in the correct order. Mark a point X. Use a straightedge to draw a ray with endpoint X.

Place the compass point at X and draw an arc intersecting the ray. Mark the point Y at the intersection. Without changing the setting, place the compass point at Y and draw an arc. Label the point Z where the two arcs intersect.

Use a straightedge to draw XZ. Place the compass point at A. Draw an arc that intersects both rays of ZA. Label the points of intersection B and C. Place the compass point at C and open the compass to the distance between B and C. The above-mentioned steps should be followed in the given order to create a copy of cab.

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The process to create a replication of the cab includes marking a point x, drawing rays, drawing arcs with a compass, and repeating this process with several different points. The steps are done in a sequential, specific order.

To create a copy of the cab, the steps would be rearranged in this order:

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Three hundred draws with replacement from the box 0 0 will result in approximately 150 1's, give or take a few. This is because the probability of drawing a 1 is 1/2, so the expected number of 1's in 300 draws is (1/2)*300 = 150. However, due to random variation, the actual number of 1's may be slightly more or less than 150.

a. The observed value of the proportion of students in the sample who are for the proposal is 325/625 = 0.52.

b. The observed value of the percentage of students in the sample who are for the proposal is 52%.

c. The expected value of the proportion of students in the sample who are for the proposal is equal to the percentage of students in the college who are for the proposal. We don't know what that value is, so the correct answer is (iii) percentage of students in the college who are for the proposal.

Three hundred draws with replacement from the box 0 0 will result in approximately 150 1's, give or take a few. This is because the probability of drawing a 1 is 1/2, so the expected number of 1's in 300 draws is (1/2)*300 = 150. However, due to random variation, the actual number of 1's may be slightly more or less than 150.

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Answer:

Step-by-step explanation:

Height of model = 20 ft ⋅ (2 in)/(5 ft) = 8 in

Answer:

∠ GFC = 70°

Step-by-step explanation:

∠ BFE and ∠ CBF are alternate angles and are congruent, that is

∠ BFE = 37°

∠ BFE , ∠ BFC and ∠ GFC lie on a straight line and sum to 180° , then

37° + 73° + ∠ GFC = 180°

110° + ∠ GFC = 180° ( subtract 110° from both sides )

∠ GFC = 70°

Answer:

4

Step-by-step explanation:

Length of the y component is how far the vector reaches vertically, so in this case it's 4

Therefore, the condition that ensures that f(c) = 0 for some value c in the open interval (1, 5) is that f(x) is continuous on the closed interval [1, 5].

Explanation: The Intermediate Value Theorem states that if a function is continuous on a closed interval [a, b], and takes on values f(a) and f(b) at the endpoints, then it must take on every value between f(a) and f(b) somewhere in the interval (a, b).
In this case, we know that f(1) = -2 and f(5) = 7, so by the Intermediate Value Theorem, f(c) must equal 0 at some point in the interval (1, 5) if and only if f(x) is continuous on the interval [1, 5].

Therefore, the condition that ensures that f(c) = 0 for some value c in the open interval (1, 5) is that f(x) is continuous on the closed interval [1, 5].

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Stephen makes the mistake in the expression as he uses the 4 in the root and the 3 in the power and the expression actually is: ∛(16)/e

We start with the expression:

exp( (4/3)*ln(2) - 1)

Here we can use that:

exp(ln(x)) = x.

and e^(a + b) = e^a*e^b.

the first step here is:

e^((4/3)*ln(2) - 1) = e^((4/3)*ln(2)*e^(-1)

So the first step of Stephen is correct, but the first step of Helen is not, you can not simplify the expression in that way.

now, we have that:

a*ln(x) = ln(x^a)

then we can write:

(4/3)*ln(2) = ln(2^(4/3))

and e^(ln(2^(4/3)) = 2^(4/3)

then we have:

e^((4/3)*ln(2)*e^(-1) = 2^(4/3)/e

now we can write this as:

∛(2^4)/e

Here is where Stephen makes the mistake, he uses the 4 in the root and the 3 in the power.

The expression actually is: ∛(16)/e

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The probability of matching six numbers is \(\frac{1}{47C_{6}}\).

To find the probability, we have to divide the favorable events by the total number of events.

The total number of events is given by:

\(47C_{6}\)

We use combinations since the order doesn't matter.

The total number of favorable events is given by:

\(6C_{6}\)

The probability is given by:

\(\frac{\text{Favorable events}}{\text{Total events}}=\frac{6C_{6}}{47C_{6}} \\= \frac{1}{47C_{6}}\)

We have found the probability of matching all six balls to be \(\frac{1}{47C_{6}}\).

Therefore, we have found that the probability of matching six numbers is \(\frac{1}{47C_{6}}\).

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Disclaimer: The question was incomplete, the complete question is attached below.

Question: In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probability of matching six numbers.

To shift the graph 5 units to the right, we need to replace x with (x - 5). Therefore, the transformation applied is a horizontal translation 5 units to the right.

The first transformation that should be applied to the graph of f(x) = log10(x) to graph g(x) = -4log10(-5x) + 37 is:

b. Horizontal translation 5 units to the right

When the expression inside the logarithm function is multiplied by a constant value, it results in a horizontal translation. In this case, the factor of -5 in front of the x causes a horizontal compression by a factor of 1/5. Since it is a negative value, it also reflects the graph across the y-axis.

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Answer:

above sea level

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

-11=4(-3)+1

-3 =4(-1)+1

1 =4(0)+1

9 =4(2)+1

13=4(3)+1

21=4(5)+1

There are 164 possibilities that are available for this specific selection.

To calculate the number of selections in which either Alice or Dolph, or both are officers, we can consider the different possibilities separately.

First, let's calculate the number of selections where Alice is an officer and Dolph is not. In this case, we have 4 remaining candidates (Ben, Connie, Egbert, and Francisco) to choose from for each position.

Therefore, there are 4 choices for the chairperson, 4 choices for the secretary, and 4 choices for the treasurer, resulting in a total of 4 * 4 * 4 = 64 selections.

Next, let's calculate the number of selections where Dolph is an officer and Alice is not. Similar to the previous case, we have 4 candidates to choose from for each position. So, there are also 64 selections.

Lastly, let's calculate the number of selections where both Alice and Dolph ar the third position since Alice and Dolph have already been assigned positions.

So, there are 4 choices for the treasurer, but only 3 choices each for the chaie officers. In this case, we have 4 remaining candidates (Ben, Connie, Egbert, and Francisco) to choose from chairperson and secretary. Therefore, there are 3 * 3 * 4 = 36 selections.

To find the total number of selections, we sum up the selections from each case: 64 + 64 + 36 = 164 selections.

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The equation allows us to chart the tree's development over time and forecast its ultimate height.

A function is a mathematical formula that allots each input from one set, known as the domain, to precisely one output from another set, known as the range. A function can be used to model relationships between variables, answer issues, and make predictions. It can be represented by an equation, a graph, a table, or a verbal description. Numerous branches of mathematics, as well as disciplines like physics, engineering, finance, and computer science, make extensive use of functions. Typical instances of functions include: When a function is graphed, it always changes at the same rate and forms a straight line. They are frequently used to simulate relationships between two variables that are related linearly, such as time and location.

given

After d days, Alani created the following algorithm to measure the height of the banana tree:

h = d + 8

Since this function is linear, the banana tree's development will remain constant over time. According to the calculation, the tree starts out at a height of 8 units, and it increases by 1 unit per day after that.

We can enter a figure for d (the number of days) and solve for h using this equation (the height of the tree after d days). For instance, we can enter d = 10 into the calculation to get the height of the tree after 10 days:

h = 10 + 8

h = 18

Therefore, the altitude of the banana plant after 10 days would just be 18 units. This equation allows us to chart the tree's development over time and forecast its ultimate height.

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Answer:

D. All the terms are odd.

Step-by-step explanation:

\(\text{According to the image description provided:}\\\text{Term one starts with one dot. One is an odd number.}\\\text{If you add two to an odd number, the sum would be another odd number.}\\\text{This is what's happening with the pattern.}\\\text{For example:}\\3+2=5\\\text{Three is an odd number. If you add two to it, you would get five, which is}\\\text{another odd number.}\\\text{Term two has 3 dots, term three has 5 dots, term four has 7 dots.}\\\text{So, all terms should be odd.}\)

Answer:

  D, E

Step-by-step explanation:

The applicable formula is ...

  s = rθ

so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...

  D) The length of the arc defined by the angle is 1.5 times longer than the radius.

  E) The ratio of arc length to radius is 1.5.

The absolute threshold is defined as the minimum detectable stimulus or intensity.

The absolute threshold refers to the minimum amount or level of a stimulus that is required for it to be detected or perceived by an individual. It is the point at which a stimulus becomes perceptible or noticeable to a person.

In sensory psychology, the absolute threshold is typically measured in terms of the lowest intensity or magnitude of a stimulus that can be detected accurately by a person at least 50% of the time. It represents the boundary between the absence of perception and the presence of perception.

The absolute threshold can vary depending on the sensory modality being tested. For example, in vision, it may refer to the minimum amount of light required for a person to see an object. In hearing, it may represent the minimum sound intensity needed for an individual to hear a tone.

Several factors can influence the absolute threshold, including individual differences, physiological factors, and the nature of the stimulus itself. Factors such as sensory acuity, attention, fatigue, and background noise can all affect an individual's ability to detect a stimulus.

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Answer:

The first one

Step-by-step explanation:

Answer:

c- 4

Step-by-step explanation:

All the others have long irrational numbers a 4 doesnt

Answer:

the third one...............

Answer:

the answer to your question is y = two-fifths x minus 1

Step-by-step explanation:

hope it helps