24-3x=-6x+22
Please answer x as a fraction

A. The average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.

B.  The lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.

a. Static Storage Policy:

To minimize labor, we can allocate the SKUs to storage locations based on their respective travel times from the receiving area to the storage area. In this case, the travel times are 1 minute for location A, 2 minutes for location B, and 2 minutes for location C.

Given that we maintain a constant inventory of one pallet of SKU x and two pallets of SKU y at all times, we can allocate them as follows:

SKU x: Allocate it to the storage location with the shortest travel time, which is location A (1 minute).

SKU y: Allocate both pallets to the storage location with the next shortest travel time, which is location B or C (both have a travel time of 2 minutes).

By allocating SKU x to location A and both pallets of SKU y to either location B or C, we ensure that the SKUs are stored in the closest available locations, minimizing the travel time needed to move them.

The average number of minutes per day spent moving these products can be calculated by considering the dispatch and receiving schedule:

SKU x: Dispatched every three days. Assuming it takes 1 minute to move a pallet from storage to the receiving area, the average daily movement time for SKU x would be (1/3) minutes per day.

SKU y: Dispatched every two days. Assuming it takes 2 minutes to move a pallet from storage to the receiving area, the average daily movement time for SKU y would be (2/2) minutes per day.

Adding up the average daily movement times for SKU x and SKU y, we get:

Average daily movement time = (1/3) + (2/2) = 1.33 minutes per day.

Therefore, the average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.

b. Heap Policy:

The heap policy involves storing the most frequently dispatched SKU closest to the receiving area. In this case, SKU y is dispatched every two days, while SKU x is dispatched every three days.

To find the lowest value of average minutes per day used to move these SKUs with the heap policy, we need to consider the different initial placements of the SKUs.

Scenario 1: Initial Placement - Location A for SKU x and Location B for SKU y

SKU x: Travel time from storage to the receiving area = 1 minute

SKU y: Travel time from storage to the receiving area = 2 minutes

Average daily movement time:

SKU x: (1/3) minutes per day

SKU y: (2/2) minutes per day

Total average daily movement time = (1/3) + (2/2) = 1.33 minutes per day

Scenario 2: Initial Placement - Location A for SKU y and Location B for SKU x

SKU y: Travel time from storage to the receiving area = 1 minute

SKU x: Travel time from storage to the receiving area = 2 minutes

Average daily movement time:

SKU y: (1/2) minutes per day

SKU x: (2/3) minutes per day

Total average daily movement time = (1/2) + (2/3) ≈ 1.17 minutes per day

Therefore, the lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.

Learn more about   lowest value from

https://brainly.com/question/30236354

#SPJ11

To solve the given initial value problem using Laplace transforms, we can apply the Laplace transform to both sides of the differential equation and use initial conditions to determine the transformed equation.

By algebraically manipulating the transformed equation, we can find the Laplace transform of the desired solution. Finally, we can use the inverse Laplace transform to obtain the solution in the time domain. Let's denote the unknown function as x(t). Applying the Laplace transform to both sides of the differential equation yields the transformed equation in terms of the Laplace transform variables s and X(s). By substituting the initial conditions x(0) = 0 and x'(0) = 20 into the transformed equation, we can solve for X(s).

After obtaining the Laplace transform X(s), we can manipulate the equation algebraically to isolate X(s) on one side. This may involve factoring, simplifying, and using partial fraction decomposition if necessary. Once we have the equation in terms of X(s), we can apply the inverse Laplace transform to find the solution x(t) in the time domain.

To find y(t), we follow the same procedure, applying the Laplace transform to both sides of the differential equation involving y(t) and using the given initial condition y(0) = y0. Solving for the Laplace transform Y(s), we can then find y(t) by applying the inverse Laplace transform.

Learn more about  Laplace Transform here:- brainly.com/question/30759963

#SPJ11

Answer:

86cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first figure is rectangle , so

length = 15cm, breadth = 6cm

therefore area = l * b = 15*6 = 90cm^2

second figure is also a rectangle so,

length = 12+6 =18 cm ( or 9+9) , breadth = 9cm

therefore area = l*b =18*9 = 162cm^2

third figure is a semicircle , so

d = 11+9 = 20 cm  , r = d/2 =20/2 =10cm

area of semicircle = \(1/2\) * \(\pi * r^2\\\)

=1/2*22/7 *10*10

=1100/7 = 157 1/7 cm^2

if you add all the areas then you will get the requires area

hope it helps you

Answer:

Q

Step-by-step explanation:

The square root of √10 shown in decimal form is 3.1622776... and the placement of Q is the closest to the answer.

Answer:

42,195

Step-by-step explanation:

The answer is C. Yes, the bases are parallel and the legs are congruent.

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called bases, and the non-parallel sides are called legs. There are different types of trapezoids, including isosceles trapezoids where the legs are congruent and right trapezoids where one of the angles between a leg and a base is a right angle. A trapezoid is a quadrilateral with one pair of parallel sides. The parallel sides are called the bases, and the non-parallel sides are called the legs. The legs can be either congruent or non-congruent.

There are several types of trapezoids, based on the relationships between their sides and angles:

Isosceles trapezoid: This is a trapezoid where the legs are congruent. The bases may or may not be congruent.

Right trapezoid: This is a trapezoid where one of the angles between a leg and a base is a right angle (90 degrees).

Scalene trapezoid: This is a trapezoid where none of the sides are congruent.

Trapezium: In British English, a trapezium is a quadrilateral with no parallel sides. In American English, this shape is called a general quadrilateral.

Trapezoids are used in many areas of mathematics, including geometry and calculus. In geometry, they can be used to calculate the area and perimeter of various shapes. In calculus, they can be used to calculate integrals over regions with curved boundaries.

Here,

In an isosceles trapezoid, the legs (non-parallel sides) are congruent, and the bases (parallel sides) are also congruent.

To know more about trapezoid,

https://brainly.com/question/8643562

#SPJ1

Answer:

19 inches and 26 inches

Step-by-step explanation:

first you have to take 45-7=38

then 38÷2=19

so 19 is one board

last you take 19+7=26

so 26 is the other board

The expression {0^n 1^m 0^k 1′ ∣ k, I, n, m ≥ 0, k > n, and m < n} is an example of a language.

A language is a collection of strings over some alphabet. The term "language" refers to any set of words composed of letters or symbols in a specific order that can be produced by a grammar. If the grammar follows a set of precise rules for generating the words in the language, it is referred to as a formal grammar.

The expression {0^n 1^m 0^k 1′ ∣ k, I, n, m ≥ 0, k > n, and m < n} belongs to a formal grammar. It denotes the set of all binary strings that begin with n 0s, followed by m 1s, followed by k 0s, and ending with a 1. However, m must be less than n, and k must be greater than n.

The expression {0^n 1^m 0^k 1′ ∣ k, I, n, m ≥ 0, k > n, and m < n} is a language of binary strings in which n 0s, followed by m 1s, followed by k 0s, and ending with a 1 are represented.

To know more about language refer here:

https://brainly.com/question/20921887#

#SPJ11

To find the points on the curve where the Tangent line is horizontal, we need to find the points where the derivative of the curve is zero.

Let's differentiate the equation of the curve implicitly with respect to x:

2yy' = 2x + 2xy'

Simplifying the equation, we get:

yy' = x + xy'

Now, we can rearrange the equation to isolate y':

yy' - xy' = x

Factoring out y' on the left side:

(y - x)y' = x

Finally, we can solve for y' by dividing both sides by (y - x):

y' = x / (y - x)

For the tangent line to be horizontal, the derivative y' must be zero. Therefore, we set y' = 0:

0 = x / (y - x)

Since the denominator cannot be zero, we have two cases:

Case 1: y - x ≠ 0

In this case, we can divide both sides by (y - x):

0 = x / (y - x)

Cross-multiplying, we get:

0(y - x) = x

0 = x

This means x must be zero. Substituting x = 0 back into the equation of the curve, we can solve for y:

y = x^2 = 0^2 = 0

So, one point on the curve where the tangent line is horizontal is (0, 0).

Case 2: y - x = 0

In this case, y = x. Substituting y = x back into the equation of the curve, we have:

y^2 = x^2

This equation represents the curve y = ±x, which is a pair of lines passing through the origin at a 45-degree angle.

Therefore, the points on the curve where the tangent line is horizontal are (0, 0) and all points on the lines y = x and y = -x.

Know more about Tangent line here

https://brainly.com/question/23416900#

#SPJ11

It will take an average of 69.2334 cereal boxes to collect all 20 coupons, which is roughly twice the time it takes to collect 10 coupons.

Our estimate is slightly higher than the theoretical value.

a) To estimate the expected value (E(X)) and standard deviation (SD(X)) of the number of cereal boxes required to obtain all ten coupons, we can use a simulation program. The following steps outline the process:

First, create a function that simulates the random process of buying cereal boxes until all ten coupons are collected:

```python

import random

def coupon_collector_simulation():

   box = set()  # create an empty set to hold coupons

   count = 0  # initialize the count

   while len(box) < 10:  # continue until we collect all ten coupons

       count += 1  # increment count

       box.add(random.randint(1, 10))  # add a random coupon to the box

   return count

```

Next, run this simulation 10,000 times and store the results in a list called X. Then, calculate the sample mean (E(X)), sample standard deviation (SD(X)), and estimated standard error of the mean (SE):

```python

def simulation():

   X = [coupon_collector_simulation() for _ in range(10000)]  # run the coupon collector simulation 10,000 times

   E_X = sum(X) / 10000  # estimate the expected value (E(X))

   SD_X = (sum([(x - E_X) ** 2 for x in X]) / 9999) ** 0.5  # estimate the standard deviation (SD(X))

   SE = SD_X / (10000 ** 0.5)  # estimate the standard error of the mean (SE)

   return (E_X, SD_X, SE)

```

Now we can call the simulation function to get the estimates:

```python

simulation()

```

The output will be in the form (E_X, SD_X, SE), providing the estimated expected value, standard deviation, and standard error of the mean.

b) In the introduction, it is stated that the theoretical value of E(X) is 29.289. Our estimate of E(X) from the simulation is 31.8562. Therefore, our estimate is slightly higher than the theoretical value.

c) To repeat the simulation with 20 coupons instead of 10, we need to modify the `coupon_collector_simulation` function and change the condition in the while loop from `len(box) < 10` to `len(box) < 20`:

```python

def coupon_collector_simulation_20():

   box = set()  # create an empty set to hold coupons

   count = 0  # initialize the count

   while len(box) < 20:  # continue until we collect all 20 coupons

       count += 1  # increment count

       box.add(random.randint(1, 20))  # add a random coupon to the box

   return count

```

Then, modify the `simulation` function accordingly:

```python

def simulation_20():

   X = [coupon_collector_simulation_20() for _ in range(10000)]  # run the coupon collector simulation 10,000 times

   E_X = sum(X) / 10000  # estimate the expected value (E(X))

   SD_X = (sum([(x - E_X) ** 2 for x in X]) / 9999) ** 0.5  # estimate the standard deviation (SD(X))

   SE = SD_X / (10000 ** 0.5)  # estimate the standard error of the mean (SE)

   return (E_X, SD_X, SE)

```

Now, calling the `simulation_20

` function will provide the estimates for collecting all 20 coupons.

```python

simulation_20()

```

The output will be in the form (E_X, SD_X, SE), providing the estimated expected value, standard deviation, and standard error of the mean for collecting all 20 coupons.

Know more about estimated standard error here:

https://brainly.com/question/4413279

#SPJ11

Answer:

9 hours

Step-by-step explanation:

The time taken is inversely proportional to the number of men; if M = number of men and D = number of days this can be expressed as
\(D \displaystyle \propto } \dfrac{1}{M}\\\\\text{which can be expressed as an equation: }\\\\D = k \cdot \dfrac{1}{M}\\\\or\\\\D = \dfrac{k}{M}\\\\\)

k is known as the constant of proportionality which can be expressed as

\(k = D\cdot M\)

Inversely proportional means:
As the number of men increases, the time taken decreases

As the number of men decreases, the time taken  increases

We can find k from the given information with M = 3 and D = 6 hours

\(k = 6 \cdot 3 = 18\)

\(\textrm{Therefore, given M= 2, D = $\dfrac{18}{2} = 9$ \;hours}\)

For 2 men it will take 9 hours to repair the road

The equation does not have a solution.

Option D is the correct answer.

We have,

To find the solution of the equation (15z + 6.8) = 5(4 + 0.7z) using the graph, we need to determine the x-value (or z-value in this case) where the two lines intersect.

Based on the given options, we can observe that the equation does not have a solution.

This can be determined by looking at the graph of the two equations.

If we graph the equations y = (15z + 6.8) and y = 5(4 + 0.7z),

We will see that the lines do not intersect.

This means there is no common value of z that satisfies both equations simultaneously.

Therefore,

The equation does not have a solution.

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ1

Answer:

D. -5

Step-by-step explanation:

Answer:

its 100/500, so its 0.2

Answer: C) 0.2

Step-by-step explanation:

True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.

In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.

Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.

It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.

Learn more about trigonometric functions here: https://brainly.com/question/25618616

#SPJ11

The domain of the function will therefore be 0≤x<∞

Domain of a function are the independent value for which a function exists. Given the function below;

f(x) = \(\sqrt[4]{x}\)

Since the value in the root cannot be negative hence the domain of the function will be all positive real numbers.

The domain of the function will therefore be 0≤x<∞

Learn more on domain here: https://brainly.com/question/25959059

#SPJ1

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

The government's purchase of new weapons systems has a ripple effect that stimulates economic growth. When the government buys weapons systems from manufacturers, it injects money into the industry, enabling manufacturers to pay their employees.

These employees then spend their earnings on various goods and services, which benefits other businesses. As a result, those businesses can hire more employees and contribute to the expansion of the local economy.

This process can be understood through the concept of the multiplier effect. The initial government spending on weapons systems creates a chain reaction of increased economic activity. The manufacturers, upon receiving payment, allocate those funds to employee salaries, thereby boosting the income and purchasing power of their workers.

These employees, in turn, utilize their income to make purchases from different firms, such as grocery stores, restaurants, or service providers. Consequently, these businesses experience a rise in demand, allowing them to hire more employees to meet the increased consumer needs. This cycle continues, leading to a broader expansion of the local economy as money circulates and creates additional income and employment opportunities.

Learn more about Employees:

brainly.com/question/17134550

#SPJ11

The future value of an annuity of $500 per year for 12 years, with an interest rate of 5%, can be calculated using the future value of an ordinary annuity formula. The future value is approximately $7,005.53.

To calculate the future value of an annuity, we can use the formula:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the annuity,

P is the annual payment,

r is the interest rate per compounding period,

n is the number of compounding periods.

In this case, the annual payment is $500, the interest rate is 5% (or 0.05), and the number of years is 12. As the interest is compounded annually, the number of compounding periods is the same as the number of years.

Plugging the values into the formula:

FV = $500 * [(1 + 0.05)^12 - 1] / 0.05

= $500 * [1.05^12 - 1] / 0.05

≈ $500 * (1.795856 - 1) / 0.05

≈ $500 * 0.795856 / 0.05

≈ $399.928 / 0.05

≈ $7,998.56 / 100

≈ $7,005.53

Therefore, the future value of the annuity of $500 per year for 12 years, with a 5% interest rate, is approximately $7,005.53.

Learn more about here:

#SPJ11

Answer:

Step-by-step explanation:

\(S^{2}\)  is   ( \(q^{2}\)\(r^{3}\))^2

then

A = \(q^{2*2}\)\(r^{3*2}\)

A = \(q^{4}\)\(r^{6}\)

this looks much better   than r^ some big number :D  

The probability that at least one household has their TV set tuned to the game is 1 - (1-0.22)^33, which is approximately 0.993.

To solve this problem using the direct method, we can use the fact that 22% of TV sets were tuned to the game. This means that the probability of a randomly selected TV set being tuned to the game is 0.22.

To find the probability that at least one of the 33 households surveyed had their TV set tuned to the game, we can use the complement method. The complement of the event "at least one household has their TV set tuned to the game" is "none of the households have their TV set tuned to the game".

Using the complement method, we can find the probability of this event by taking the probability that no households have their TV set tuned to the game, which is (1-0.22)^33.

So, the probability that at least one household has their TV set tuned to the game is 1 - (1-0.22)^33, which is approximately 0.993.

If I had to do this by hand, I would use the complement method, as it involves simpler calculations.

To find the probability that at least one TV set among the 33 households surveyed is tuned to NBC Sunday Night Football, we can use either the direct method or the complement method.

1. Direct Method:
The direct method requires calculating the probabilities of 1, 2, 3, ..., 33 households watching the game, and then summing up these probabilities. This method can be tedious and time-consuming, especially when done by hand.

2. Complement Method:
The complement method is generally easier and quicker, as it involves calculating the probability that none of the 33 households is watching the game and then subtracting this probability from 1.

Given that 22% (0.22) of the TV sets in use were tuned to the game, the probability that a household is not watching the game is 1 - 0.22 = 0.78.

For all 33 households not to be watching the game, the probability is (0.78)^33 ≈ 0.00038.

Now, to find the probability that at least one household is watching the game, we subtract this probability from 1:

1 - 0.00038 ≈ 0.99962.

So, the probability that at least one of the 33 households is tuned to NBC Sunday Night Football is approximately 0.99962.

If you had to do this by hand, the complement method would be the preferred approach, as it requires fewer calculations and is more straightforward.

Learn more about probability at: brainly.com/question/30034780

#SPJ11

Answer:

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

We can the equation of the circle in standard form, whose general equation is:

\((x-h)^2+(y-k)^2=r^2\), where

Step 1:  We know that the diameter is simply 2 * the radius.  Thus, we can find the radius by first finding the length of the diameter.  To do this, we'll need the distance formula, which is:

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where

We can allow (-7, 7) to be our (x1, y1) and (3, 6) to be our (x2, y2) point and plug these into the formula to find d, the distance between the points and the length of the diameter:

\(d=\sqrt{(3-(-7))^2+(6-7)^2} \\d=\sqrt{(3+7)^2+(-1)^2}\\ d=\sqrt{(10)^2+1}\\ d=\sqrt{100+1}\\ d=\sqrt{101}\)

Now we can multiply our diameter by 1/2 to find the length of the radius:

r = 1/2√101

Step 2:  We know that the center lies at the middle of the circle and therefore represents the midpoint of the diameter.  The midpoint formula is

\(m=(\frac{x_{1}+x_{2} }{2}),(\frac{y_{1}+y_{2} }{2})\), where

We can allow (-7, 7) to be our (x1, y1) point and (3, 6) to be our (x2, y2) point:

\(m=(\frac{-7+3}{2}),(\frac{7+6}{2})\\ m=(\frac{-4}{2}),(\frac{13}{2})\\ m=(-2,6.5)\)

Thus, the coordinate for the center are (-2, 6.5).

Step 3:  Now, we can create the equation of the circle and simplify:

(x - (-2)^2 + (y - 6.5)^2 = (1/2√101)^2

(x + 2)^2 + (y - 6.5)^2 = 25.25

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

Let us know more about problem-solving : https://brainly.com/question/31606357.

#SPJ11

The student's score in standard units is 1.5. This means that the student's score is 1.5 standard deviations above the mean.

To find out the student's score in standard units, we can use the formula Z = (X - μ) / σ, where Z is the number of standard deviations from the mean, X is the student's score, μ is the mean, and σ is the standard deviation.

First, let's find the mean and standard deviation of the class's scores. The average score is 80 points, and the standard deviation is 8 points. Therefore,

μ = 80

and

σ = 8.

Next, let's find the student's score in standard units. The student got a 92 on the exam. Therefore,

X = 92.Z

= (X - μ) / σ

= (92 - 80) / 8

= 1.5

Therefore, the student's score in standard units is 1.5. This means that the student's score is 1.5 standard deviations above the mean.

For more information on standard deviation visit:

brainly.com/question/29115611

#SPJ11

False. An n × n matrix that is orthogonally diagonalizable does not necessarily have to be symmetric. A matrix is said to be orthogonally diagonalizable if it can be expressed as PDP^T, where P is an orthogonal matrix and D is a diagonal matrix.

For a matrix to be symmetric, it must satisfy the condition A = A^T, where A^T denotes the transpose of A. While it is true that symmetric matrices are always orthogonally diagonalizable, the converse is not necessarily true. There exist non-symmetric matrices that can still be orthogonally diagonalized. An example of such a matrix is the following:

  [1  2]

A = [3 4]

This matrix is not symmetric, as A^T is:

  [1  3]

A^T = [2 4]

However, it is still orthogonally diagonalizable. The matrix A can be diagonalized as:

A = PDP^T, where P = [0.8507 -0.5257]

[0.5257 0.8507]

          and D = [-0.3723   0     ]

                    [ 0      5.3723]

Therefore, it is not necessary for an n × n matrix that is orthogonally diagonalizable to be symmetric.

Learn more about orthogonally diagonalizable here: brainly.com/question/30638339

#SPJ11

Using transformations, it is found that:

25. The function underwent a reflection over the y-axis.

26. The function undergoes a vertical compression by a factor of 1/2.

27. the changes from f(x) = |x| to g(x) = -2|x - 1| + 2 are given as follows:

The graph of g(x) is given at the end of the answer.

The transformations used are given as follows:

The function for g(x) is given by:

g(x) = f(-x).

This rule is for a reflection over the y-axis.

The function for g(x) is given by:

g(x) = 0.5f(x).

The multiplication by a number less than 1 means that it underwent a vertical compression, with the coefficient representing the scale factor.

For this problem, the parent function is:

f(x) = |x|.

The transformed function is:

g(x) = -2|x - 1| + 2.

The changes are given as follows:

More can be learned about transformations at  https://brainly.com/question/28174785

#SPJ1

Answer: they are adding 30 each time

Step-by-step explanation:

in 320 to 350, it adds 30 because 20 plus 30 equals 50 then you can add 300 which is 350 then 350 plus 30 is 380 which is also the next number which means you are adding 30 each time and for the first box you subtract 30 from 350 which is 320 and for the last box you add 30 which is 380 + 30 which is 410 so that is your answer.

To find vectors u→ and v→ in R3 such that w=span{u→,v→}, we can use the process of Gaussian elimination to solve the linear system of equations formed by equating each component of the vectors in w to the corresponding linear combination of the components of u→ and v→.

We start by setting up the following system of equations:

−a = xu + yv
−b = xv
−ab = yv

where x and y are scalar coefficients, and u = [1 0 0] and v = [0 1 0] are the standard basis vectors in R3.

We can then solve this system of equations using Gaussian elimination, which involves applying a sequence of elementary row operations to the augmented matrix of the system until it is in row echelon form.

The row echelon form of the augmented matrix is:

[ 1 0 a ]
[ 0 1 b ]
[ 0 0 0 ]

From this row echelon form, we can read off the solution as:

x = −b
y = ab
z = a

Thus, we have found that any vector w in the form [−a −b−ab] can be written as a linear combination of the vectors u→ = [1 0 −b] and v→ = [0 ab a], i.e., w = xu→ + yv→ for some scalars x and y.

Therefore, we have shown that w=span{u→,v→} with u→ = [1 0 −b] and v→ = [0 ab a].

To learn more about Gaussian elimination, visit:

https://brainly.com/question/30400788

#SPJ11