Help me please thank u

Answer:

x=39.76693372

Step-by-step explanation:

Subtract 2187 from 3.

54.92x−2184=0

Add 2184

to both sides of the equation.

54.92x=2184

Divide each term by 54.92

and simplify.

x=39.76693372

The two transformations applied to pentagon ABCDE to create A'B'C'D'E' are translation and reflection over the x-axis.

Based on the given information, the two transformations applied to pentagon ABCDE to create A'B'C'D'E' are as follows:

Translation: The pentagon has been translated 5 units to the right and 2 units down.

Reflection: The pentagon has been reflected over the line of symmetry located at the x-axis.

These transformations are responsible for the changes in the positions of the vertices of the pentagon, resulting in the new configuration A'B'C'D'E'.

Please note that the given diagram and information lack specific details, so the answer is based on the assumptions made from the limited provided information.

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A. The equations for the amounts of money Lyle and Shaun have in their accounts are represented as:

f(x) = 20x + 100

g(x) = 10x + 500

B. When f(x) = g(x), x = 40.

A linear equation can be written in slope-intercept form y = mx + b. Here, the value of m is the unit rate or slope, while the value of b is its y-intercept or initial value.

Part A:

Equation for Lyle:

y-intercept / initial value (b) = $100

Slope / unit rate (m) = $20

To write the equation, substitute m = 20 and b = 100 into f(x) = mx + b:

f(x) = 20x + 100.

Equation for Lyle:

y-intercept / initial value (b) = $500

Slope / unit rate (m) = $10

To write the equation, substitute m = 10 and b = 500 into g(x) = mx + b:

g(x) = 10x + 500.

Part B: To solve the system, we would do the following:

20x + 100 = 10x + 500

20x - 10x = -100 + 500

10x = 400

x = 400/10

x = 40

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Answer:

-9.87

Step-by-step explanation:

-4.53 -5.43

= -9.87

Hello!

-4.53+(-5.34)

-4.53-5.34

-9.87

Hope this helps!

~Just a joyous gal

#CarryOnLearning

Good luck on your assignment and have a marvellous day!

Answer given by

\(-SilentNature-\)

Answer:

546

Step-by-step explanation:

subtract how much he has left by how much he started with

The 95% confidence interval for the mean times teenagers think about food in one day is (97.22, 102.78).

A study of 50 teenagers revealed that the average number of times they thought about food in one day was 100 times with a standard deviation of 10. Develop a 95% confidence interval of the mean times teenagers think about food in one day.

In order to develop the 95% confidence interval, we must determine the test statistics.

The z-test is used to determine the test statistics, and it is defined as the difference between the sample mean and the population mean divided by the standard deviation:

z = (X - μ) / (σ / √n)

Where, X = sample mean

μ = population mean

σ = standard deviation

n = sample size

Substitute the given values, σ = 10, n = 50, μ = 100.

Using the above formula, we can determine the test statistics,

z = (X - μ) / (σ / √n)

z = (100 - 100) / (10 / √50)

z = 0

Thus, the test statistics is 0. Now, we can use the test statistics and a z-table to find the critical value of z for a 95% confidence interval. The z-table indicates that the critical value of z for a 95% confidence interval is 1.96.

Using this value and the formula for the confidence interval, we can determine the 95% confidence interval of the mean times teenagers think about food in one day: CI = X ± (z * σ / √n)

CI = 100 ± (1.96 * 10 / √50)

CI = 100 ± 2.78

Therefore, the 95% confidence interval for the mean times teenagers think about food in one day is (97.22, 102.78).

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The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0

Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x

Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).

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Answer:  f(3) = -1

Step-by-step explanation:

f(x) = -3 |x-1| +5

f(3), we just need to put 3 in for both the x

f(3) = -3 |3-1| +5

f(3) = -9 + 3 +5

f(3) = -1

according to question the final equation is:

(y - k)^2/(9/4) - (x - h)^2/16 = 1

The equation of a hyperbola centered at the origin with a vertical transverse axis of length 2a and a conjugate axis of length 2b is:

y^2/a^2 - x^2/b^2 = 1

Since the center is not at the origin, we need to use a slightly modified equation. If the center of the hyperbola is at (h, k), then the equation becomes:

(y - k)^2/a^2 - (x - h)^2/b^2 = 1

In this case, the center is not given, so we cannot write the full equation. However, we can write the equation of the hyperbola if we assume that the center is at the origin (0,0) and then shift it later.

Given that the length of the vertical transverse axis is 3, we know that 2a = 3, so a = 3/2. Similarly, since the length of the conjugate axis is 8, we know that 2b = 8, so b = 4.

Therefore, assuming that the center of the hyperbola is at the origin, the equation of the hyperbola is:

y^2/(9/4) - x^2/16 = 1

To shift the center of the hyperbola to a different point (h,k), we replace x with (x - h) and y with (y - k),

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Answer:

\( \frac{4}{3?} \times 3.14 \times 24}^{3 \)

Answer:

see below

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (24)^3

V = 4/3*13824 pi

   18432 pi

If we approximate pi by 3.14

V =57876.48

Or using the pi button

V =57905.83579

Answer:what are the answer choices

Step-by-step explanation:

Answer:

Point A = (0,1)  Point B = (1,2)  Point C = (2,4)

Step-by-step explanation:

To find a point's "ordered pair" (x and y coordinates), consider each line a single digit unless the problem states/shows otherwise (ex. if the lines were evidently counting by 2's). Here, we can see each line represents a single digit. First count how many lines to the left/right of the y axis the point is (this will be your x point - ex. point B in this problem has an x valued at 1 because the point was one line to the right of the bold vertical line in the middle (the y axis). If the point is to the left, it is a negative x value, right would be positive, and if the point is on the y axis line. x is 0. You are essentially counting how far along the x axis the point is. Same applies to the y values, given you do the opposite and count how far from the x axis (horizontal bold line) the point is. Above that line is positive, below is negative, and again, if the point is on the x axis (bold horizontal line), the y value is 0. Then simply fill your values in in their corresponding places in the brackets: (x,y).

Hope this helps :) I know math can be especially hard to grasp so it's always okay to ask for help/explanation.

The equation 6x + 3y = 12 when solved for y is y = -2 x + 4. (Option A)

An equation refers to a statement that indicated that the values of two mathematical expressions are equal. The equation’s equality is indicated by the sign ‘=’.

The given equation is 6x + 3y = 12.

In order to solve for y, isolate the y term and express it in single unit. Hence, isolating the y term

6x + 3y – 6x = - 6x +12

3y = - 6x +12

In order to express y term in single unit, divide both sides by 3 and simplifying.

(1/3)3y =(1/3)(- 6x +12)

y =- 2x + 4

Note: The question is incomplete. The complete question is probably is: Which represents the equation 6 x + 3 y = 12 when solved for y? A) y = negative 2 x + 4 B) y = 2 x + 4 C) y = negative 2 x minus 4 D) y = 2 x minus 4

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The values of k for which f(x) = k/x has critical points are k = 0.

To determine the values of k for which the function f(x) = k/x has critical points, we need to find the values of k that make the derivative of f(x) equal to zero.

The derivative of f(x) with respect to x can be found using the quotient rule:

f'(x) = (-k/x²)

Setting the derivative equal to zero and solving for x:

(-k/x²) = 0

This implies that k = 0, as there is no positive value of x that can make the denominator zero.

Therefore, the function f(x) = k/x has critical points only when k = 0. For any other positive value of k, the function does not have any critical points.

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Answer:

The first answer is c

Step-by-step explanation:

Louis total distance of 8/5 km. Louis rose his bicycle a total distance of 8/5 km.

Louis rose his bicycle a total distance of 1/2 km + 3/4 km + 7/10 km.

To find the total distance, we need to find a common denominator for the fractions: 2, 4, and 10.

The least common denominator is 20.

So, 1/2 km can be written as 10/20 km, 3/4 km can be written as 15/20 km, and 7/10 km remains the same.

Adding these fractions together, we have:

10/20 km + 15/20 km + 7/10 km = 32/20 km

Simplifying this fraction, we get:

32/20 km = 8/5 km

Therefore, Louis rose a total distance of 8/5 km.

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Louis rode a total distance of 8/5 km or 1 and 3/5 km

Louis rode his bicycle a total of 1/2 km to school, 3/4 km to a ball field, and 7/10 km back home. To find the total distance Louis traveled, we need to add up these three distances.

First, let's add 1/2 km and 3/4 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 2 and 4 is 4.

Converting 1/2 to have a denominator of 4, we get 2/4. Now we can add 2/4 + 3/4, which equals 5/4.

Next, we need to add 5/4 km and 7/10 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 4 and 10 is 20.

Converting 5/4 to have a denominator of 20, we get 25/20. Now we can add 25/20 + 7/10, which equals 32/20.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 32/4 and 20/4, we get 8/5.

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Answer:

1850 * 0.7^3 = 634.55

Step-by-step explanation:

Answer:

The original price drops by 15%.

Step-by-step explanation:

What was the drop in price?  To answer that, subtract $21.25 from $25, which results in $3.75.

Now compare $3.75 to the original price, $25, through division, as follows:

   $3.75

-------------- * 100% = 15%

     $25

The original price drops by 15%.

Answer:

30 cubes are added

Step-by-step explanation:

The image of the solid shape is attached.

From the Plan, Side elevation and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks is needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.

The number of blocks needed to make the cuboid = 4 * 4 * 3 = 48 cm cubes.

Therefore the number of cubes to be added = 48 cubes - 18 cubes = 30 cubes.

30 cubes are added

The number of cubes that are added is 30.

What is Cube?

A cube's form is occasionally referred to as "cubic." Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped. One of the platonic solids, the cube is a convex polyhedron with all of its faces being square. The cube has either cubical symmetry or octahedral symmetry. The square prism is a specific instance of a cube.

From the Plan, Side elevation, and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks are needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.

The number of blocks needed to make the cuboid

= 4 * 4 * 3 = 48 cm cubes.

Therefore the number of cubes to be added

= 48 cubes - 18 cubes

= 30 cubes.

30 cubes are added.

Hence, The number of cubes that are added is 30.

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Option B, Justice is one of four ethical concepts. The definition states that there must be fairness in all medical judgments.

Four ethical principles: autonomy, benevolence, harmlessness, and justice. Each of these principles serves a specific purpose, but all four work together to empower you as healthcare professionals and ensure that your patients receive high-quality, ethical care.

The literal concept of autonomy and the medical concept of autonomy diverge and intersect. Charity is an act of compassion or mercy. The activities of all healthcare workers should always be positive. Of the four principles of medical ethics, harmlessness is the most important.

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keeping in mind that complex roots never come all by their lonesome, their sister is always with them, namely the conjugate, so if we know that there's a complex root of -2i or namely 0 - 2i, its conjugate is also there too, namely 0 + 2i, or just 2i, so then

\(\begin{cases} x=3\implies &x-3=0\\ x=-2i\implies &x+2i=0\\ x=2i\implies &x-2i=0 \end{cases}\qquad \implies (x-3)(x+2i)(x-2i)=\stackrel{0}{y} \\\\[-0.35em] ~\dotfill\\\\ \underset{\textit{difference of squares}}{(x+2i)(x-2i)}\implies [(x)^2-(2i)^2] \\\\\\\ [x^2-(4i^2)]\implies [x^2-[4(-1)]] \implies x^2+4 \\\\[-0.35em] ~\dotfill\\\\ (x-3)(x^2+4)=y\implies x^3-3x^2+4x-12=y\)

Answer:

f = 19

Step-by-step explanation:

8 = f - (13 - 2)

f - (13 - 2) = 8

f - 11 = 8

f - 11 + 11 = 8 + 11

f = 19

Answer:

i think the answer is f=19

Answer:

The number that would have to be added to "complete the square" is 4. This is because the equation can be rewritten as (x + 2.5)² = -4.5, and the number that needs to be added to both sides of the equation to make the left side a perfect square is 4.

The average temperature of the coffee between t = 0 and t = 10 minutes is approximately 146 degrees.

Option C is the correct answer.

We have,

To find the average temperature of the coffee between t = 0 and t = 10 minutes, we need to calculate the average value of the temperature function F(t) over that interval.

The formula for the average value of a function f(x) over an interval [a, b] is given by:

Average value = (1 / (b - a)) x ∫[a to b] f(x) dx

In this case,

We want to find the average temperature over the interval [0, 10] minutes, so our formula becomes:

Average temperature = (1 / (10 - 0)) x ∫[0 to 10] F(t) dt

To find the integral of F(t), we need to calculate the antiderivative of F(t):

∫ F(t) dt = ∫ \((72 + 118e^{-0.093t}) dt\)

Using the power rule of integration and the fact that the integral of \(e^x\) is \(e^x\), we can evaluate the integral:

∫ F(t) dt =\(72t - (118 / 0.093) \times e^{-0.093t}\)

Now,

Average temperature = (1 / 10) x ∫[0 to 10] F(t) dt

Average temperature = (1 / 10) x (72(10) - (118 / 0.093) x \(e^{-0.093(10)}\) - (72(0) - (118 / 0.093) x \(e^{-0.093(0)}))\)

Simplifying further:

Average temperature = (1 / 10) x (720 - (118 / 0.093) x \(e^{-0.93}\) - 0)

Using a calculator, we find:

Average temperature ≈ 146 degrees

Therefore,

The average temperature of the coffee between t = 0 and t = 10 minutes is approximately 146 degrees.

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In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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The right alternative to replace the question mark (?) is nik.

The given series is wfb, tgd, qhg. To find the right alternative to replace the question mark (?), we need to identify the pattern in the series.

Looking at the series, we can observe that the first letter in each term is moving back two steps in alphabetical order, while the second letter is moving forward one step, and the third letter is moving forward one step and then moving forward two steps which means that it is moving forward with "n+1" steps where n = 0, 1, 2, 3,...

Applying this, we can determine the next term in the series:

w → t → q → n

f → g → h → i

b → d → g → k

So, the next term comes to be "nik"

Therefore, the right alternative to replace the question mark (?) is "nik".

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The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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