help me please thanks ​

In mathematical modeling, some values are considered fixed and cannot vary without consequence. These values are often referred to as constants or parameters, and they represent physical or environmental properties that are assumed to be constant throughout the problem.

For example, in a mathematical model of the motion of a pendulum, the length of the pendulum, the mass of the weight, and the force of gravity are typically considered constants that cannot vary without consequence. If any of these values were to change, the motion of the pendulum would be affected, and the solution to the problem would be different.

Similarly, in a mathematical model of heat transfer, the thermal conductivity of the material, the heat source or sink, and the boundary conditions are typically considered constants that cannot vary without consequence. If any of these values were to change, the temperature distribution and heat transfer rate within the system would be affected, and the solution to the problem would be different.

The choice of which values to consider as constants or parameters depends on the specific problem being modeled and the assumptions made.

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The vertex form of the given quadratic equation is

\(4(x-1)^{2} + 16 =0\).

According to the given question.

We have a quadratic equation

\(4x^{2} -8x + 20 = 0\)

Since, for the standard quadratic form is \(ax^{2} +bx + c = y\), the vertex form of a quadratic equation is \(y = a(x -h)^{2} + k\) where (h, k) is the vertex.    

And h and k can be calculated as

h = -b/2a and y = k

So, for the given equation \(4x^{2} -8x + 20 =0\) the vertex (h, k) is given by

h = -(-8)/2(4) = 8/8 = 1   (X coordinate of vertex)

and,

\(y =4x^{2} -8x+ 20\)

substitute x = 1 in the above equation for the value of k

Y = 4(1)(1) - 8(1) + 20

⇒ Y = 4 - 8 + 20

⇒ Y = -4 + 20

⇒ Y = 16

so, k = 16          (Y coordinate of vertex)

Now, substitute the value of a, k and h in \(y = a(x-h)^{2} + k\).

⇒  \(0 =4(x-1)^{2} + 16\)

Therefore, the vertex form of the given quadratic equation is

\(4(x-1)^{2} + 16 =0\).

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We can use u = x and dv = (1 – 2e cotx) csc(x^2) dx. By doing this, we can easily get the answer by following the steps in integration by parts.Question 3 involves integrating e^(2x) with respect to x.

Yes, somebody who has a good heart can answer questions 2-5. However, these questions require knowledge in calculus and trigonometry.Question 2 involves integration by parts, where we need to choose u and dv such that we can simplify the expression after integrating it.We can use the formula for integration of exponential functions to get the answer.Question 4 involves using the formula for the integral of sine squared (sin^2θ = (1/2) - (1/2)cos(2θ)) and substitution method. By substituting u = 1 + 2 sinθ and doing some simplification, we can get the answer.Question 5 involves using the formula for integrating sin(ax+b) and a trigonometric identity to simplify the integral. After simplification, we can get the answer by using integration by parts or direct integration.Thus, someone with knowledge in calculus and trigonometry can answer questions 2-5.

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Answer:

I think its A but I could be wrong, I say this because is the most logical. I think its a 70% chance im right.

Step-by-step explanation:

Hope you get an A!

Answer:

Mr. Smith's age INCREASES the MEAN of the data

Step-by-step explanation:

The median is still 12 with and without Mr. Smith's age.

The mode is still 12 with and without Mr. Smith's age.

A mean can't decrease when there's an additional number

The only response that makes sense would be that his age increases the mean of the data

Answer:

nope sorry I don't know this answer

I I would be knowing I surely tell you

really sorry

Answer:to dig 8 hectares in 12 days, we would require 30 men.

To find out how many men are required to dig 8 hectares of land in 12 days, we can use the concept of man-days.

We know that 18 men can dig 6 hectares of land in 15 days. This means that each man can dig \(\(6 \, \text{hectares} / 18 \, \text{men} = 1/3\)\)  hectare in 15 days.

Now, we need to determine how many hectares each man can dig in 12 days. We can set up a proportion:

\(\[\frac{1/3 \, \text{hectare}}{15 \, \text{days}} = \frac{x \, \text{hectare}}{12 \, \text{days}}\]\)

Cross multiplying, we get:

\(\[12 \, \text{days} \times 1/3 \, \text{hectare} = 15 \, \text{days} \times x \, \text{hectare}\]\)

\(\[4 \, \text{hectares} = 15x\]\)

Dividing both sides by 15, we find:

\(\[x = \frac{4 \, \text{hectares}}{15}\]\)

So, each man can dig \(\(4/15\)\)  hectare in 12 days.

Now, we need to find out how many men are required to dig 8 hectares. If each man can dig  \(\(4/15\)\) hectare, then we can set up another proportion:

\(\[\frac{4/15 \, \text{hectare}}{1 \, \text{man}} = \frac{8 \, \text{hectares}}{y \, \text{men}}\]\)

Cross multiplying, we get:

\(\[y \, \text{men} = 1 \, \text{man} \times \frac{8 \, \text{hectares}}{4/15 \, \text{hectare}}\]\)

Simplifying, we find:

\(\[y \, \text{men} = \frac{8 \times 15}{4}\]\)

\(\[y \, \text{men} = 30\]\)

Therefore, we need 30 men to dig 8 hectares of land in 12 days.

In conclusion, to dig 8 hectares in 12 days, we would require 30 men.

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It would require 30 men to dig 8 hectares of land in 12 days.

To find how many men are required to dig 8 hectares of land in 12 days, we can use the concept of man-days.

First, let's calculate the number of man-days required to dig 6 hectares in 15 days. We know that 18 men can complete this task in 15 days. So, the total number of man-days required can be found by multiplying the number of men by the number of days:
\(Number of man-days = 18 men * 15 days = 270 man-days\)

Now, let's calculate the number of man-days required to dig 8 hectares in 12 days. We can use the concept of man-days to find this value. Let's assume the number of men required is 'x':

\(Number of man-days = x men * 12 days\)

Since the amount of work to be done is directly proportional to the number of man-days, we can set up a proportion:
\(270 man-days / 6 hectares = x men * 12 days / 8 hectares\)

Now, let's solve for 'x':

\(270 man-days / 6 hectares = x men * 12 days / 8 hectares\)

Cross-multiplying gives us:
\(270 * 8 = 6 * 12 * x2160 = 72x\)

Dividing both sides by 72 gives us:

x = 30

Therefore, it would require 30 men to dig 8 hectares of land in 12 days.

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Answer:

10

Step-by-step explanation:

1.25 each song

she bought 8 songs

1.25 x 8 = 10

10-20 = 10

The solution of the system of equation y = 2x - 5 y = -4x + 1 is (1, -3).

The system of equation can be solved using different method such as elimination method, substitution method and graphical method.

Let's solve the system of equation using substitution method.

Therefore,

y = 2x - 5

y = -4x + 1

Hence,

-4x + 1 = 2x - 5

-4x - 2x = -5 - 1

-6x = -6

divide both sides by -6

x = -6 / -6

x = 1

Let's find y.

y = -4x + 1

y = -4(1) + 1

y = -4 + 1

y = -3

Therefore, the solution is (1, -3)

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The lateral surface area is about 105,600 meters.

The area of ​​the pyramid is the measure relative to its surface and is obtained by the sum of the areas of the bases (polygonals) and of all the lateral faces (triangles). For the calculation of the lateral area of ​​a pyramid, we will have the perimeter of the base by the inclined height of the pyramid.

In this case, the formula of the lateral surface area is:

\(SA=\frac{P*S}{2}+B\)

Where:

The height informed will not be used, it will only be a parameter to perform pythagoras, that is, we will find the hypotenuse of the triangle created by the height, like this:

\(S=\sqrt{(B)^2/2+H^2} \\S=\sqrt{110^2+70^2}\\S=\sqrt{17,000}\\ S=130\)

Returning to the formula given above, we find that:

\(SA= \frac{(220*4)(130)}{2}+(220*220)\\ SA= 57,200+48,400= 105,600 \ meters\)

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Answer:

i dont belive you

Step-by-step explanation:

75 employees were absent for six or more days.

To determine how many employees were absent for six or more days, we need to refer to the given frequency distribution of days absent:

- 0 up to 3 days: 2 employees

- 3 up to 6 days: 25 employees

- 6 up to 9 days: 14 employees

- 9 up to 12 days: 19 employees

- 12 up to 15 days: 42 employees

To find the number of employees absent for six or more days, we need to add the number of employees in the last three categories:

14 (6 up to 9 days) + 19 (9 up to 12 days) + 42 (12 up to 15 days) = 75 employees

Therefore, 75 employees were absent for six or more days.

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To determine the size of the weight matrix for the given convolutional neural network (CNN), we need to consider the number of units in the first layer and the dimensions of the input grayscale images.

In a CNN, the weight matrix is used to perform the convolution operation, which involves applying filters to the input images. Each unit in the first layer corresponds to a specific filter or kernel. The size of the weight matrix will depend on the number of units in the layer and the dimensions of the filters.Let's assume that the number of units in the first layer is N, and the input grayscale images have pixel dimensions MxM. In this case, the weight matrix will have dimensions N x (K x K), where K represents the kernel size. Each row of the weight matrix corresponds to the weights associated with a specific unit in the first layer.The number of columns in the weight matrix is determined by the kernel size, which is typically a square matrix.

The values in the weight matrix represent the learnable parameters of the CNN.  By adjusting the weights in the matrix, the CNN can learn to extract meaningful features from the input images and make accurate predictions. Overall, the size of the weight matrix for the given CNN is N x (K x K), where N is the number of units in the first layer, and K is the kernel size. The rows of the weight matrix correspond to the units in the first layer, and the columns represent the weights associated with each pixel in the kernel used for convolution.

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Answer:

(-7+7i)-(-7-3i)+(-7-8) i need help

9514 1404 393

Answer:

Step-by-step explanation:

Where x represents the previous year's salary, its amount this year is said to be ...

  x + 2000

The equation is trying to reflect the fact that 7% of that is $3,290. The missing number is 2000:

  0.07(x +2000) = 3290

__

Solving for x, we find ...

  x = (3290/0.07) -2000 = 45000

Sandra's salary the previous year was $45,000.

Answer:

3 yards because I looked it up

The value of the mean excluding the outlier is 130. 5

An outlier can be defined as a data point that differs significantly or greatly from other observations.

It occurs as a result of;

From the information given, we have that;

121, 89, 410, 203, 55, 230, 182, 148, 135, 233, 11, 219, 108, 192

Since, the outlier is 410

The mean is given as;

= 121 + 89+ 203+ 55 + 230+182 + 148 + 135 + 233+ 11+ 219 + 108 + 192/13

Add the values

= 1696/13

= 130. 5

Hence, the value is 130. 5

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Answer:

< x = 120°

Step-by-step explanation

Step 1:

According to angle sum property,

y + 50 + 70 = 180

Step 2:

x and y are linear pairs, forming a supplementary angle.

Therefore,

x + y = 180

Step 3:

Since they are both equal to 180, equate the values

y + 50 + 70 = x + y

x = 70 + 50

x = 120

Answer:

“yes, but terms and conditions apply.” · Since no (non-trivial) fraction is a natural number, obviously no fraction.

i think

Step-by-step explanation:

Answer:

2(12x + 10y)  

Step-by-step explanation:

The value of three expression that are equivalent to the given expression (24x + 20y) are,

⇒ 2 (12x + 10y)

⇒ 4 (3x + 5y)

⇒ 48/2x + 40/2y

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 24x + 20y

Now, We can write the expression as,

⇒ 24x + 20y

⇒ 2 (12x + 10y)

⇒ 4 (3x + 5y)

⇒ 48/2x + 40/2y

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The correct answer is OD. 8x + 1.

To divide 8x³ + x² - 32x - 4 by x² - 4, we can use polynomial long division.

The dividend is 8x³ + x² - 32x - 4, and the divisor is x² - 4.

We start by dividing the highest degree term, which is 8x³, by x². This gives us 8x.

Next, we multiply the divisor x² - 4 by the quotient 8x. The result is 8x³ - 32x.

Subtracting 8x³ - 32x from the dividend, we get x² - 32x.

Now, we divide x² - 32x by x² - 4. This gives us 1.

Multiplying the divisor x² - 4 by the quotient 1, we get x² - 4.

Subtracting x² - 4 from the remaining dividend, which is -32x, we get -32x + 4.

Since we can no longer divide, the final result is the quotient we obtained: 8x + 1.

Therefore, the correct answer is:

OD. 8x + 1.

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Step 1) Divide up the figure

In this figure, there is a triangle, a small rectangle, and two larger rectangles. The triangle is 6 in x 9 in, the small rectangle is 3 in x 18 in, one of the large rectangles (center) is 8 in x 14 in, and the other large rectangle (bottom) is 5 in x 9 in.

Step 2) Find the area of each shape in the figure

Triangle: A = 1/2 x 6 x 9 = 27

Small rectangle: A = 3 x 18 = 54

Large rectangle (center): A = 8 x 14 = 112

Large rectangle (bottom): A = 5 x 9 = 45

Step 3) Add the area of each shape together

A = 27 + 54 + 112 + 45 = 238 square inches

Hope this helps! :)

Answer:

247 square inches

Step-by-step explanation:

Divided the diagram into a triangle and three rectangles.

The triangle is 6 in * 6 in = 36 square inches

1st rectangle is 4 in * 3 in = 12 square inches

2nd rectangle is 11 in * 14 in = 154 square inches

3rd rectangle is 9 in * 5 in = 45 square inches

Therefore, 36+12+154+45 = 247 square inches

We are asked to find a number that added to 95 will give 98 as a result. We call such number "x" (our unknown):

x + 95 = 98

we solve for "x" by subtracting 95 from both sides and leaving the unknown "x" isolated on the left:

x = 98 - 95

x = 3

The other number is "3".

There were 196 children and 110 adults admitted to the amusement park on that day.

Let's use variables to represent the number of children and adults admitted.

Let's say that "c" represents the number of children and "a" represents the number of adults.

We know from the problem that the admission fee for children is $3.00 and the admission fee for adults is $6.00.

So the total admission fee collected can be represented by the equation:

3c + 6a = 1248

We also know that the total number of people admitted is 306, so:

c + a = 306

Now we can use algebra to solve for "c" and "a".

We can rearrange the second equation to solve for "c":

c = 306 - a

Then we can substitute this expression for "c" into the first equation:

3(306 - a) + 6a = 1248

Expand the parentheses:

918 - 3a + 6a = 1248

Combine like terms:

3a = 330

Divide both sides by 3:

a = 110

So there were 110 adults admitted.

We can use the second equation to find the number of children:

c + a = 306

c + 110 = 306

Subtract 110 from both sides:

c = 196

So there were 196 children admitted.

Therefore, there were 196 children and 110 adults admitted to the amusement park on that day.

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E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

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Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

Step-by-step explanation:

  \(y=\frac{1}{3} x-3\) has \(m=\frac{1}{3}\) (gradient), so a line parallel will have same gradient.

Using point-slope form of line equation:

  \(y-y_1 =m(x-x_1)\)  with \(m=\frac{1}{3}\) and point \((3,-1)\) we get:

     \(y+1=\frac{1}{3} (x-3)\)   (can be left in this form if you want)

     \(y=\frac{1}{3} x-2\)            (if you prefer answer in same form as question)

Answer:

4(5)^2 + 3(6)

Step-by-step explanation:

200+18= 218

The given statements describe various challenges and themes related to governance, democracy, and social justice.

They encompass debates over governmental authority, the alignment of democratic ideals with social realities, resistance to democratic initiatives, and activism addressing issues of identity and social justice. The authority of different branches of government is often a subject of debate in democratic societies. This includes discussions and disputes over the separation of powers, checks and balances, and the appropriate distribution of authority among the executive, legislative, and judicial branches.

Matching democratic ideals to social realities involves grappling with the implementation and realization of democratic principles in a diverse and complex society. It entails addressing issues such as inequality, discrimination, and social disparities that may hinder the full realization of democratic values and goals.

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The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

Using the distributive law;

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

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