First to answer gets something good ;)

The two positive numbers that have a product of 16 and their sum is a minimum are 4 and 4.

To find the two numbers, we need to consider the conditions given: the product of the numbers is 16, and their sum is a minimum.

Step 1: Listing the factors of 16

The factors of 16 are 1, 2, 4, 8, and 16.

Step 2: Pairing the factors

To find the pair of numbers whose product is 16, we pair up the factors. The pairs are (1, 16), (2, 8), and (4, 4).

Step 3: Calculating the sums

Next, we calculate the sums of each pair. The sums are 1 + 16 = 17, 2 + 8 = 10, and 4 + 4 = 8.

Step 4: Determining the minimum sum

Since we are looking for the pair of numbers where the sum is a minimum, we can see that the pair (4, 4) has the lowest sum of 8.

Therefore, the final answer is that the two positive numbers whose product is 16 and their sum is a minimum are 4 and 4.

In this case, both numbers are the same because the product is a perfect square. This means that the two numbers are equal and their sum will always be the minimum possible value.

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We know that

• The annual pay is $40,872 based on 52 weeks per year.

First, we have to find the rate per week, let's divide.

This means that each machinist receives $786 per week.

If the firm cuts the work year to 50 weeks, then we just have to multiply it by the weekly payment to get the new amount per year.

Them, subtract the 52 weeks year payment from the 50 weeks year payment.

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Based on the speed that Elena's family was going, and the distance traveled by Andre's family in 8 minutes, the time take was 8.07 minutes.

According to the table, Andre's family had traveled 7.4 miles after 8 minutes.

The time taken by Elena's family going at 55 miles per hour will be:

Time = Distance / Speed

Solving gives:

= 7.4 / 55 x 60 minutes in one hour

= 8.07 minutes

In conclusion, it took Elena's family 8.07 minutes to travel as far as Andre's family had traveled in 8 minutes.

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Answer:

4 = dt

I hope this helps

Sorry if it's wrong

The given task is to sort a list of 3-D points based on a given sorting order string using Python's lambda function and sorted function. The sorting order is specified as a string of any combination of 'x', 'y', and 'z', where 'x' represents the primary sorting key, 'y' represents the secondary sorting key, and 'z' represents the last priority.

In Python, we can use a lambda function to define a custom key for sorting using the `sorted()` function. We can create a tuple of the `x`, `y`, and `z` coordinates of each point and pass it as the key to the `sorted()` function. We can use the `index()` method to get the index of the corresponding letter in the sorting order string.Here's an example of the two-line solution to sort the given list of points based on the sorting order string:

```python

sorted_points = sorted(points, key=lambda p: (p[order.index('x')], p[order.index('y')], p[order.index('z')]))

print(sorted_points)

```This will print the sorted list of 3-D points based on the given sorting order string.

In summary, we can use Python's lambda function and sorted function to sort a list of 3-D points based on a given sorting order string. The lambda function creates a tuple of the `x`, `y`, and `z` coordinates for each point based on the sorting order string, and the sorted function sorts the list based on this tuple. The `index()` method is used to get the index of the corresponding letter in the sorting order string.

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Answer:

2nd option

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\) and \(\sqrt{-1}\) = i

Simplifying the radical

\(\sqrt{-80}\)

= \(\sqrt{16(5)(-1)}\)

= \(\sqrt{16}\) × \(\sqrt{5}\) × \(\sqrt{-1}\)

= 4 × \(\sqrt{5}\) × i

= 4i\(\sqrt{5}\)

Then

6 + \(\sqrt{-80}\)

= 6 + 4i\(\sqrt{5}\)

To find the maximum profit, we need to optimize the profit function, which is obtained by subtracting the cost function from the revenue function. The profit function P(x, y) = R(x, y) - C(x, y) can be maximized by finding the critical points and analyzing their nature using the second partial derivative test.

The profit function P(x, y) is given by P(x, y) = R(x, y) - C(x, y). Substituting the given revenue function R(x, y) and cost function C(x, y) into the profit function, we have P(x, y) = x(100 - 6x) + y(192 - 4y) - (2x² + 2y² + 4xy - 8x + 20).

To find the critical points of the profit function, we need to differentiate P(x, y) with respect to x and y, and set the resulting partial derivatives equal to zero. Taking these derivatives and solving the resulting system of equations will give us the critical points.

Next, we use the second partial derivative test to determine the nature of these critical points. By calculating the second partial derivatives and evaluating them at the critical points, we can determine if each critical point corresponds to a maximum, minimum, or saddle point.

Once we have identified the critical points and their nature, we compare the values of P(x, y) at these points to find the maximum profit.

Note: The specific calculations for finding the critical points and analyzing their nature are not provided here, but by following the steps outlined above and performing the necessary computations, one can determine the maximum profit.

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Answer:

Tony = 31   Billie = 17

Step-by-step explanation:

17 x 2 = 34

34 - 3 = 31

17(billie's age) + 14(years that Tony is older) = 31

Answer:

what the other person said

Step-by-step explanation:

Answer:

164

Step-by-step explanation:

443-279

=164

Answer:

443 - 279 = 164

Step-by-step explanation:

so train A should be 279 pounds

and train B should be 164 pounds

So sorry i might be wrong i tried my best

Answer:

The standard deviation is 3.4

Step-by-step explanation:

The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

We will calculate the area of the cardboard he has.Cardboard area = length * breadth = 20 * 18 = 360 square inches

Rico has a piece of cardboard that is 20 inches long and 18 inches wide. He wants to create a cardboard model of a square pyramid. We need to determine if the cardboard he has is adequate to create a cardboard model of a square pyramid.

To determine whether the cardboard he has is adequate to build a square pyramid model or not, we need to know the dimensions of the pyramid. We know that the cardboard should cover all faces of the pyramid.

Hence, we will calculate the area of the pyramid and compare it with the area of the cardboard that he has. We can use the formula to calculate the surface area of the square pyramid.

Surface area of a square pyramid = 2lw + l² where l is the slant height and w is the width of the base.Let's assume that the height of the square pyramid is 10 inches and the slant height is 13 inches.

Now, we can calculate the surface area of the square pyramid using the above formula:Surface area of square pyramid = 2(13)(10) + 10² = 260 + 100 = 360 square inches.

Now, to check if Rico has enough cardboard, .Since the cardboard area is the same as the surface area of the square pyramid, it is adequate to create a model of the pyramid.

Hence, Rico has enough cardboard to create a model of the square pyramid.

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The evolution of the Korean fashion industry has had strategic implications for Korean fashion firms' global expansion strategies. As the market has become stagnant and global luxury and SPA brands have aggressively entered the market, local fashion firms have faced challenges in sustaining their growth momentum.

To overcome these challenges, Korean fashion firms have adopted diverse strategies, including direct entry, licensing, and acquisitions, to successfully tap into the global market. Kolon FnC, one of the five affiliates of Kolon Industries, has focused on its strength in the sports and outdoor segment to differentiate itself from its global competitors.

Kolon FnC has implemented several strategic moves to enhance its global expansion. Firstly, it has diversified its fashion portfolio by acquiring small-sized designer shops and fashion accessory shops since 2010. This allows the company to offer a wider range of products and create a young and vibrant brand image.

Additionally, Kolon FnC has collaborated with artists to create new value and attract consumers. By leveraging its R&D capability for new garment materials, led by its sister affiliate Kolon Fashion Material, the company can stay innovative and meet the demands of the global market.

In comparison to its major local competitors, Kolon FnC's global expansion strategy stands out. While Korean fashion firms typically focus on licensing or acquiring foreign brands, Kolon FnC has taken a different approach by acquiring small-sized designer shops and fashion accessory shops. This unique strategy allows them to have more control over their brand image and product offerings.

Based on the comparative analyses of Kolon FnC and its competitors, future strategic directions for Kolon FnC can be recommended. Firstly, the company should continue to focus on attracting talented young designers in Korea to differentiate itself from global competitors. This can be a viable source of competitive advantage in the global fashion industry.

Additionally, Kolon FnC should further enhance its R&D capability to develop new garment materials. This will enable the company to stay ahead in terms of innovation and meet the changing demands of consumers.

Overall, the strategic implications of the evolution of the Korean fashion industry have prompted Korean fashion firms, including Kolon FnC, to adopt diverse global expansion strategies. By focusing on their strengths, diversifying their fashion portfolio, collaborating with artists, and enhancing their R&D capability, these firms can position themselves competitively in the global market.

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According to the given information Every 10th product in the line is selected.

Systematic sampling is a probabilistic strategy that includes selecting people from the general population at predetermined intervals, such as each 15th people on a list of the population. If the community is set up in a random order, this can replicate the benefits of simple random sampling.

Biased sample sizes and subpar survey results are reduced by systematic sampling. If there is a low chance that data will be manipulated: Data validity may be compromised if researchers rearrange a data set. The best strategy for surveys when there is little likelihood of data manipulation is systematic sampling.

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In 13.567% of the 30 cities, the mean prevalence of childhood asthma will be higher than 2.5%.

Given that:

X: childhood asthma prevalence

With mean u = 2.22%

and standard deviation σ= 1.39%

To find : Determine the probability that the average prevalence of childhood asthma in a sample of n cities is higher than 2.5%.

Although we are unsure about the distribution of the variable, keep in mind that from n ≥ 30, the sampling distribution can be roughly compared to the normal distribution according to the central limit theorem:

X≈N(μ;σ²/n)

Additionally, compute the requested probability using the standard normal distribution:

P(X>2.5)= 1 - P(X≤2.5)

Determine the Z value given the X value:

Z = (X - u)/ (σ/√n)

Z = (2.5-2.2)/(1.39/√30)

Z = 1.10

Using the Z-tables you have to look for the value of

P(Z≤1.10)= 0.86433

1 - 0.86433= 0.13567

Then P(X>2.5)= 1 - P(X≤2.5)= 1 - P(Z≤1.10)= 1 - 0.86433= 0.13567

So, 13.567% of the 30 cities will have a mean childhood asthma prevalence greater than 2.5%

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To solve the given linear system of differential equations using diagonalization and decoupling, we can find the eigenvalues and eigenvectors of the coefficient matrix, diagonalize it, and then perform a change of variables to decouple the system into individual equations.

Let's denote the vector of variables as X = [x₁, x₂, x₃]ᵀ. The given system can be written in matrix form as dX/dt = AX, where A is the coefficient matrix. We first find the eigenvalues and eigenvectors of A.

The characteristic equation of A is det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix. Solving this equation, we find that the eigenvalues are λ₁ = -2, λ₂ = -2, and λ₃ = -4, each with multiplicity 1.

Next, we find the eigenvectors associated with each eigenvalue. For λ₁ = -2, the eigenvector is v₁ = [1, -1, 1]ᵀ. For λ₂ = -2, the eigenvector is v₂ = [1, -1, 0]ᵀ. For λ₃ = -4, the eigenvector is v₃ = [1, 1, -1]ᵀ.

To diagonalize the coefficient matrix A, we form the matrix P using the eigenvectors as columns: P = [v₁, v₂, v₃]. The matrix D is the diagonal matrix of eigenvalues: D = diag(λ₁, λ₂, λ₃). We have A = PDP⁻¹, where P⁻¹ is the inverse of P.

Now, we perform a change of variables by letting Y = P⁻¹X. This transforms the system into dY/dt = DY, where D is the diagonal matrix of eigenvalues.

By decoupling the equations, we obtain three separate equations: dy₁/dt = -2y₁, dy₂/dt = -2y₂, and dy₃/dt = -4y₃. These are simple first-order linear equations that can be solved individually.

In conclusion, by diagonalizing the coefficient matrix A and performing a change of variables, we decouple the system of differential equations into three individual equations that can be solved separately.

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To solve this problem, we need to use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d  where a1 is the first term, d is the common difference, and n is the term number.  This means that the first term is 118, the common difference is -6, and each subsequent term is found by subtracting 6 from the previous term.

We know that the 4th term is 100, so we can substitute this into the formula:
a4 = a1 + (4-1)d
100 = a1 + 3d

Similarly, we know that the 13th term is 46:
a13 = a1 + (13-1)d
46 = a1 + 12d
Now we have two equations with two unknowns (a1 and d), which we can solve by elimination or substitution. I will use elimination:
100 = a1 + 3d
-46 = -a1 - 12d
------
54 = -9d
d = -6
Now we can substitute d back into one of the equations to solve for a1:
100 = a1 + 3(-6)
a1 = 118
Therefore, the expression for the general term of the arithmetic sequence is:
an = 118 - 6(n-1) or  an = 124 - 6n

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The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Precession is a phenomenon that refers to the gradual and continuous change in the orientation of the Earth's rotational axis over long periods of time.

This shift in the orientation of the axis of rotation results in changes in the position of the celestial pole with respect to the stars, which causes a shift in the apparent position of stars over time. The precession of the Earth's axis is caused by the gravitational forces of the Sun, Moon, and other planets in the solar system.
Precession is characterized by changes in the magnitude of the angle of tilt, which causes changes in the rate of the Earth's spin. As the axis of rotation moves, it causes the length of the day to change over time. Additionally, deviations in the circularity of the orbit also affect the precession of the Earth's axis.
Precession is a significant phenomenon in astronomy and has been observed for thousands of years. It has important implications for studies of astronomy, geology, and climate change. For instance, precession affects the timing of the seasons and has a significant impact on the Earth's climate. It also affects the orientation of the Earth's magnetic field, which has important implications for navigation and communication systems.
In conclusion, precession is the gradual change in the orientation of the Earth's rotational axis, caused by the gravitational forces of the Sun, Moon, and other planets. It results in changes in the magnitude of the angle of tilt, changes in the rate of Earth's spin, and deviations in the circularity of the orbit. Precession has significant implications for various fields of study, including astronomy, geology, and climate change.

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Height of the tree is 16ft

There is a tree and a wall.

height of the wall = 4ft

Base of the wall = 6ft

tanθ for wall = height of the wall/Base of the wall

                     =  4/6

                     = 2/3

Height of the tree be h

base of the tree = 24ft

tanθ for tree= h/24

tanθ for wall = tanθ for tree

2/3 = h/24

h=(2/3)(24)

 = 16ft

Height of the tree is 16ft.

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or between a base and something above it. Height is something measured vertically, whether it is high or low.

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Answer:

do you still need help with this ? its been 19 hours lol

Step-by-step explanation:

a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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The method that may lead to revenue and cost of goods sold being translated/remeasured at different exchange rates is the temporal method of translation.

Under the temporal method of translation, different exchange rates are used to translate monetary assets and liabilities, including revenue and cost of goods sold. This occurs when a foreign subsidiary operates in a hyperinflationary economy or when the functional currency of the subsidiary differs from the reporting currency of the parent company.

Revenue and cost of goods sold are typically translated using different exchange rates due to the specific rules outlined by the temporal method. Revenue is generally translated using the exchange rate at the date of sale, which reflects the rate in effect when the economic activity occurs. On the other hand, cost of goods sold is translated using the exchange rate at the date of acquisition of the goods, which captures the rate when the inventory was purchased or produced.

These different exchange rates can lead to a discrepancy between revenue and cost of goods sold when the exchange rates fluctuate significantly between the sale and acquisition dates. This discrepancy affects the gross profit margin and can impact the financial performance and profitability analysis of a company. Therefore, it is important for multinational companies to carefully consider the choice of translation method and its potential effects on financial reporting.

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Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

I think Rv = 37x but if you think not then Go with You're answer

Step-by-step explanation:

goodluck! :)

The equation of the line through the midpoint of AB that is perpendicular to AB is y = (-1/12)x + (7/6). This line is the perpendicular bisector of AB and intersects AB at its midpoint.

To find the equation of the perpendicular bisector of AB, we first need to find the midpoint of AB. The midpoint of AB can be found using the midpoint formula:

Midpoint of AB = ((x1 + x2)/2, (y1 + y2)/2)

where x1, y1 are the coordinates of point A, and x2, y2 are the coordinates of point B. Plugging in the values, we get:

Midpoint of AB = ((3+4)/2, (-5+7)/2) = (3.5, 1)

Now that we have the midpoint of AB, we need to find the slope of AB. The slope of AB can be found using the slope formula:

slope of AB = (change in y) / (change in x) = (7-(-5)) / (4-3) = 12

Since the line we are trying to find is perpendicular to AB, the slope of the line is the negative reciprocal of the slope of AB. Therefore, the slope of the line is -1/12.

Now that we have the slope and a point on the line (the midpoint of AB), we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line. Plugging in the values, we get:

y - 1 = (-1/12)(x - 3.5)

Simplifying and rearranging, we get:

y = (-1/12)x + (7/6)

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Answer:

The answer is graph D since y int = 3(1)+4 which is 7, that graph crosses y at 7

Answer:

\(\frac{3}{5}\)

Step-by-step explanation:

slope = \(\frac{y_{2}-y_1 }{x_2-x_1}\)

x1=6 x2=1

y1=9 y2=6

input into equation:

= \(\frac{6-9}{1-6}\)

= \(\frac{-3}{-5}\)

= \(\frac{3}{5}\)