Answer:
common fate
Explanation:
The gestalt effect may be defined as the ability of our brain to generate the whole forms from the groupings of lines, points, curves and shapes. Gestalt theory lays emphasis on the fact that whole of anything is much greater than the parts.
Some of the principles of Gestalt theory are proximity, similarity, closure, symmetry & order, figure or ground and common fate.
Common fate : According to this principle, people will tend to group things together which are pointed towards or moving in a same direction. It is the perception of the people that objects moving together belongs together.
Find the ratio of the volume generated when the curve 25x^{2} - 16y^{2} + 700xy = 400 makes a half revolution about its directrix and when it makes a full revolution about the line connecting its foci.
To find the ratio of the volume generated by the curve 25x² - 16y² + 700xy = 400, we can start with the formula for calculating the volume of revolution about the axis of symmetry:
V = π * ∫[a, b] [(f(x))² dx]
Case 1: Half revolution about the directrix 700xy = 400 - 25x² + 16y² ---(1)
The directrix of the parabola is given by y = -(b²/a), where a is the distance from the vertex to the focus and b is the distance from the vertex to the directrix.
Here, a² = (400/25) = 16 and b = 7, which gives the directrix as y = -49/16.
The axis of symmetry is given by x = 0. Using the standard formula, the curve is given by y = (1/700) (400 - 25x²)/(16/7).
We need to calculate the integral ∫[-a, a] [(y)² dx], which is equal to 2∫[0, a] [(y)² dx].
On substituting the value of y, we get:
V = π * (2/700²) ∫[0, a] [(400 - 25x²)/(16/7)]² dx = π * 0.0681
Case 2: Full revolution about the line connecting its foci
700xy = 400 - 25x² + 16y² ---(2)
We can rewrite equation (2) as y² = (4/25)x² - (7/25)x + 1.
The vertices of this hyperbola are (5/2, 0) and (-5/2, 0).
The foci of the hyperbola can be found using the formula c² = a² + b², where c is the distance from the center of the hyperbola to the foci and a and b are the semi-axes of the hyperbola. Here, a = 5/2 and b = √(1 + (7/25)²) = 24/5. This gives c = √((25/4) + (24/5)²) = 17/4.
The line connecting the foci is given by x = (c/b)y.
Let P be a point (x, y) on the hyperbola. The distance from the point to the line connecting the foci is given by (2a²/c) * sqrt((c/b)y - x + (a/c)²).
Using the distance formula, we get 25x² - 16y² = (1/196) [(34y/5) - x]².
We need to calculate the integral ∫[-a, a] [(y)² dx], which is equal to 2∫[0, a] [(y)² dx].
On substituting the value of y, we get:
V = π * (2/1225²) ∫[0, 5] [(34y/5 - 25y²/4)]² dy = π * 3.35 x 10⁻⁴
Hence, the ratio of the volumes is given by V₂/V₁ = 0.0681/3.35 x 10⁻⁴.
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Explain why it is important to model the context of a system that is being developed. Give two examples of possible errors that could arise if software engineers do not understand the system context.
Answer:
Explanation:
System models are created and used in order for all of the individuals involved in the process to be able to see exactly how each module that is being created connects to the rest of the system. This allows every developer to understand each module's/part's function and develop it with the entire system in mind. This also makes it easier to implement newer features. If a model is not made then the developers may miss key features and when it is time to piece all of the components of the system together, the overall process can become a jumbled mess.
1. Consider a solid cube of dimensions 1ft x 1ft x 1ft (=0.305m x 0.305m x 0.305m). Its top surface is 10
ft (=3.05 m) below the surface of the water. The density of water is pf=1000 kg/m3.
Consider two cases:
a) The cube is made of cork (pB=160.2 kg/m3)
b) The cube is made of steel (pB=7849 kg/m3)
In what direction does the body tend to move?
Answer:
a) up
b) down
Explanation:
When the cube is less dense than water, it will tend to float (move upward). When it is more dense, it will sink (move downward).
a) 160.2 kg/m^3 < 1000 kg/m^3. The cube will move up.
__
b) 7849 kg/m^3 > 1000 kg/m^3. The cube will move down.
What size will it be if 4" is at scale 3/4" = 1"
Answer:
3
Explanation:
4*(3/4)=3
why people act like that
Answer:
i dob't know
Explanation:
Please explain the term ‘causal link’. What is the importance of the causal link
in work accidents? What kind of situations breaks the causal link? Explain all
situations with examples.
Answer:
:)
Explanation:
The correlation between a factor and an outcome could be a coincidence, or it could be caused by a completely different factor. For example, as ice cream sales increase, sales of meat for barbecues also increase.
Tidal turbines convert the energy of a flowing tide to generate electricity. Early designs of these machines commonly had their rotor attached to a supporting tower mounted on the seabed – see for example Figure QC2.1. A representation of a tide-driven flow of water past a tidal turbine is sketched in Figure QC2.2. An expansion of the flow from d1 to d2 is imagined to occur over the rotor, with half of the expansion (in area) happening upstream of the rotor, and half downstream.
(a) Explain why the active part of the inflow (the streamtube shown in Figure
QC2.2) expands its cross-section as it passes the turbine. (2)
Analysis for the analogous situation of a wind turbine with uniform inflow, attributed to Albert Betz and others in the 1920s, demonstrated that for optimum efficiency of energy extraction from the inflow, the far upstream flow speed should be reduced by the turbine such that the far downstream speed is 1/3rd of the far upstream speed.
(b) Suggest three reasons why this theoretical maximum efficiency will in general
not be achieved in a practical tidal turbine deployment. (3)
(c) The Alstom 1.4 MW OceadeTM turbine has a rotor diameter of 18 m. The
supporting tower has a height of 15 m and a diameter of 3 m. In a 3 ms-1 tidal
flow, estimate the total fluid loading experienced by the whole machine. State
and justify the assumptions that you make in arriving at this estimate. (12)
(d) How would you expect to use these estimates of forces when designing the
turbine and tower structure?
(a) The active part of the inflow expands its cross-section as it passes the tidal turbine due to conservation of mass and energy.
(b) Several reasons contribute to the theoretical maximum efficiency not being achieved in practical tidal turbine deployments, including turbulence, non-uniform flow, and mechanical losses.
(c) Estimating the total fluid loading on the Alstom 1.4 MW OceadeTM turbine requires considering the flow velocity, rotor and tower dimensions, and making assumptions about the flow characteristics and structural properties.
(d) The estimates of forces obtained from the fluid loading calculations are essential for designing the turbine and tower structure by ensuring that they can withstand the anticipated loads and stresses.
(a) The active part of the inflow expands its cross-section as it passes the tidal turbine due to the principle of conservation of mass and energy. As the tidal flow encounters the turbine rotor, some of the kinetic energy of the flow is converted into mechanical energy to drive the turbine. To satisfy the conservation of mass, the cross-sectional area of the flow must increase to compensate for the reduction in flow velocity caused by energy extraction.
(b) Achieving the theoretical maximum efficiency in practical tidal turbine deployments is challenging due to several reasons. First, tidal flows are often characterized by turbulence, which disrupts the uniformity of the flow and reduces overall efficiency. Second, tidal flow itself is not uniformly distributed, and the flow characteristics vary with tidal cycles, further impacting efficiency. Lastly, mechanical losses in the turbine's components, such as friction and resistance, reduce the efficiency of energy conversion.
(c) Estimating the total fluid loading on the Alstom 1.4 MW OceadeTM turbine involves considering the flow velocity, rotor diameter, and tower dimensions. Assuming a tidal flow velocity of 3 m/s, the fluid loading can be estimated by considering the momentum change and forces acting on the rotor and tower surfaces. Assumptions may include a simplified flow model, neglecting factors such as turbulence and non-uniform flow, and assuming a stationary tower. These assumptions simplify the calculation while providing a reasonable estimate of the fluid loading.
(d) The estimates of forces obtained from the fluid loading calculations are crucial for designing the turbine and tower structure. These estimates help engineers determine the required structural strength, material selection, and design considerations to ensure that the turbine and tower can withstand the anticipated fluid forces and mechanical stresses. By considering the estimated forces, designers can optimize the structural integrity, stability, and reliability of the turbine and tower, ensuring safe and efficient operation in tidal environments.
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Documentation of a flow chart?
Answer:
A Document in a flowchart represents a printout, for instance a document or a report.
Flowcharts are used in planning and documenting basic process or projects. Like different sorts of outlines, they help imagine what is happening and along these lines help comprehend a process, and maybe additionally find more subtle highlights inside the process.
Explanation:
A flowchart is essentially a graphical portrayal of steps. It shows steps in consecutive request and is generally used in introducing the progression of calculations or work process. Regularly, a flowchart shows the means as boxes of different sorts, and their request by interfacing them with bolts.
It is likewise a kind of graph that speaks to a work process or cycle. A flowchart can likewise be characterized as a diagrammatic portrayal of a calculation, a bit by bit way to deal with settling an assignment.
The flowchart shows the means as boxes of different sorts, and their request by associating the containers with bolts. This diagrammatic portrayal outlines an answer model to a given issue. Flowcharts are used in investigating, planning, reporting or dealing with a process or program in different fields.
Drilling mud does all of the following EXCEPT
cools the bit.
allows gas to escape.
flushes cuttings out of the hole.
keeps oil underground.
Drilling mud does all of the following EXCEPT keeps oil underground.
Does Drilling mud keeps oil underground?Drilling mud is a specialized fluid used in drilling operations to facilitate the drilling process and maintain the stability of the wellbore.
One of the functions of drilling mud is to cool the drill bit by circulating it through the bit and carrying away heat generated during drilling. This helps prevent the bit from overheating and prolongs its lifespan.
Drilling mud acts as a barrier, preventing the gas from entering the wellbore and causing blowouts. It helps control the pressure and allows for safe drilling operations.
Drilling mud has several important functions in drilling operations, including cooling the bit, allowing gas to escape, and flushing cuttings out of the hole. However, it is not intended to keep oil underground.
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A tennis ball is projected toward a smooth surface with speed v as shown. Determine the rebound angle? and the final speed v?. The coefficient of restitution is 0.57.
When a tennis ball is projected toward a smooth surface with speed v then rebound angle is 30° and final speed is 0.57 times the initial speed.
The rebound angle can be found using the law of reflection, which states that the angle of incidence is equal to the angle of reflection.
Since the ball is projected at an angle of 30 degrees, the angle of incidence is also 30 degrees.
Therefore, the rebound angle is also 30 degrees.
We can determine the final speed of the ball after rebounding using the coefficient of restitution and the initial speed.
The coefficient of restitution, denoted as e, is defined as the ratio of the final velocity to the initial velocity in the normal direction after a collision:
e = (v_f - v_i) / (u_i - u_f)
where u_i and u_f are the initial and final velocities in the normal direction, and
v_i and v_f are the initial and final velocities in the opposite direction.
In this case, the surface is smooth, so there is no friction or tangential forces involved.
Therefore, the velocity of the ball in the normal direction remains the same before and after the collision, and we can simplify the equation to:
e = (v_f - v_i) / v_i
Solving for the final velocity, we get:
v_f = e v_i = 0.57v
So the final speed of the ball is 0.57 times the initial speed. Note that this assumes that the ball rebounds directly back along the same path as it approached the surface.
If the rebound angle is different, then the final speed and direction would be different as well.
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What are the partial products of 2. 3 x 2. 6
To find the partial products of 2.3 x 2.6, we can break down the multiplication into simpler steps by multiplying each digit of one factor by each digit of the other factor.
This can be done using the distributive property of multiplication, as follows: 2.3 x 2.6 = (2 x 2) + (2 x 0.6) + (3 x 2) + (3 x 0.6) Simplifying each term, we get: 2.3 x 2.6 = 4 + 1.2 + 6 + 1.8 Therefore, the partial products of 2.3 x 2.6 are: 2 x 2 = 4 2 x 0.6 = 1.2 3 x 2 = 6 3 x 0.6 = 1.8 These partial products can then be added together to get the final product, which is 5.98.
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The heat transfer coefficient for air flowing over a sphere is to be determined by observing the temperature-time history of a sphere fabricated form pure copper. The sphere, which is 12.7 mm in diameter, is at 66 degree C before it is inserted into an air stream having a temperature of 27 degree C. After the sphere has been inserted in the air stream for 69 s, the thermocouple on the outer surface indicates 55 degree C. Assume, and then justify, that the sphere behaves as a lumped system object and calculate the heat transfer coefficient.
The heat transfer coefficient for air flowing over the sphere is 17.49 W/m²K.
The given problem requires the heat transfer coefficient for air flowing over a sphere to be determined by observing the temperature-time history of a sphere made of pure copper. In order to solve the problem, we must first assume that the sphere behaves as a lumped system object. This assumption is justified because the Biot number (Bi) for the system is less than 0.1.Bi = hL/k, where h is the convective heat transfer coefficient, L is the characteristic length, and k is the thermal conductivity of the solid.
For a sphere, L = d/2, where d is the diameter of the sphere.
Using the given data, we can calculate the Bi number to be 0.0051, which is less than 0.1 and justifies the lumped system assumption.
The heat transfer rate from the sphere is given by Newton's Law of Cooling as q = hA(Ts - T∞), where A is the surface area of the sphere, Ts is the surface temperature of the sphere, and T∞ is the temperature of the air stream.
Since the sphere is a lumped system object, we can assume that Ts is equal to the average temperature of the sphere, which is (66 + 55)/2 = 60.5 °C.
We can also assume that T∞ is constant at 27 °C. Therefore, we can rearrange the equation to get h = q/(A(Ts - T∞)).
Substituting the given values, we get h = 17.49 W/m²K.
Therefore, the heat transfer coefficient for air flowing over the sphere is 17.49 W/m²K.
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How much horse power does a Lamborghini have
Answer:
Countach - 375 Huracan - 610 to 630Aventador - 729 to 759Urus - 641Gallardo - 543 to 562Centenario - 770 SCV12 - 830Explanation:
It really all depends, it varies from 375 to 830, you can't mark one as " Lamborghinis have this much hp always " seeing it fluctuates so much car to car
1. If everyone agreed to take the ethical point of view by respecting others and their core values, would there be any need for a rigorous study of ethics?
2. If you had to choose only one of the ethical theories presented in this chapter and use it for all your personal ethical decision making, which theory would you choose? Why? How would you respond to the arguments raised against the theory you have chosen?
3. Why do businesses and governments often use utilitarian thinking to determine the proper course of action?
1. Yes, there would still be a need for a rigorous study of ethics. Even if everyone agreed to take the ethical point of view, there would still be difficult ethical dilemmas and decisions to make.
What is the ethical ?Ethics is a set of moral principles or values that guide an individual or a group in determining what is right and wrong. It is a set of values that help dictate how people should behave in various situations. Ethics can be used to refer to a system of moral principles or values, or to the study of such principles or values.
2. I would choose the utilitarianism theory for my personal ethical decision making. Utilitarianism is a consequentialist theory, which means it assesses the consequences of a particular action in order to determine the ethicality of the action.
3. Businesses and governments often use utilitarian thinking to determine the proper course of action because it is an effective way to maximize the benefits to the greatest number of people. Utilitarianism can help businesses and governments make decisions that will benefit the most people in the most effective way.
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What is a transition? A. An animation that happens on a single slide B. An outline format that uses roman numerals C. An image file imported to a title slide D. An effect that happens between slides Please select the best answer from the choices provided A B C D
Answer:
its c
Explanation:
Biết op-amp có Vsat = 12V, R1=R2=R3=R4=R, dạng sóng điện áp Vi(t) được cho như
hình 2.16b
a. Tính V0 theo Vi, độ lợi áp AV
b. Vẽ lại dạng sóng điện áp V0(t) khi Vm= 3
8 V
c. Vẽ lại dạng sóng điện áp V0(t) khi Vm = 5V
Answer:
Hello bro
Explanation:
I think i can help you something but can you translate it on english plzz
1. At the end of the day, a bakery gives everything that is unsold to food banks for the needy. If it has 12 apple pies left at the end of a given day, in how many different ways can it distribute these pies among six food banks for the needy?
2. In how many different ways can the bakery distribute the 12 apple pies if each of the six food banks is to receive at least one pie?
Answer:
The answer ix below
Explanation:
There are 12 apple pies left.
Given that:
n = number of apple pies left = 12
x = number of food banks = 6
1) For the 12 apple pies to be distributed among 6 food banks. The number of ways in which this can be done is:
C(n + x - 1, x - 1) = C(12 + 6 -1, 6 - 1) = C(17, 5) = \(\frac{17!}{(17-5)!5!} =\frac{17!}{12!5!}=6188 \ ways\)
12 apple pies can be distributed among 6 food banks in 6188 ways
2) For the 12 apple pies to be distributed among 6 food banks if each food bank must receive one pie, 6 pies would be remaining. The number of ways in which this can be done is:
C((n - x) + x - 1, n - x) = C(12 - 6 + 6 - 1, 12 - 6) = C(11, 6) = \(\frac{11!}{(11-6)!6!} =\frac{11!}{6!5!}=462 \ ways\)
12 apple pies can be distributed among 6 food banks if each food bank must receive one pie in 462 ways
Run the perceptron learning algorithm on the data set above. Report the. # number of updates that the algorithm takes before converging.
The perceptron learning algorithm can be used to find a hyperplane which separates a dataset with two classes.
To run the algorithm on the data set provided, we first need to select an initial weights vector and a bias term. We then compare the dot product of the weights vector and the input vector to the bias term. If it is greater than the bias, the perceptron output is 1, and if it is lower, the perceptron output is 0.
We then compute the error and update the weights and bias terms until the perceptron converges. The number of updates required for convergence can vary depending on the data set and the initial weights. Generally, it takes fewer updates to converge if the data set is linearly separable.
In conclusion, the number of updates required for the perceptron learning algorithm to converge on the data set provided cannot be determined without running the algorithm. However, typically, it takes fewer updates to converge if the data set is linearly separable.
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True or False? For vehicles equipped with a limited-slip, or positive-traction, differential, check the
vehicle's VIN and service information for the proper replacement fluid to avoid damaging the unit.
The vehicles equipped with a limited-slip, or positive-traction, differential, check then vehicle's VIN and service information for the proper replacement fluid to avoid damaging the unit is true.
What does the VIN Share report service?The report provides comprehensive details about the car, including information on things like accident histories that you might have had trouble actually discovering. An identity card for your car, the VIN report. Because of its past. Since 1982, the database has kept track of every vehicle sold.The 17-character VIN serves as a unique identifier for the car and is made up of both capital letters and digits. The manufacturer, specifics, and distinctive characteristics of the car are shown by the VIN. It is possible to trace recalls, registrations, warranty claims, thefts, and insurance coverage using the VIN.To learn more about VIN report refer to:
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What effect did the Ice Age have on early humans
Answer:
The development of homosapiens
Explanation:
People adapted to the harsh weather by creating tools and used land bridges to spread to new regions
Installation a2 An insulated rigid tank initially contains 1.4-kg saturated liquid
water and water vapor at 200°C. At this state, 25 percent of the
volume is occupied by liquid water and the rest by vapor. Now an
electric resistor placed in the tank is turned on, and the tank is
observed to contain saturated water vapor after 20 min. Determine
(a) the volume of the tank, (b) the final temperature, and (c) the
electric power rating of the resistor
nd demo of reaper in Mahindra Yuvo 575 DI tractor
Answer:
Explanation:
It appears that you are trying to solve a problem involving an insulated rigid tank containing saturated liquid water and water vapor. To determine the volume of the tank, you will need to know the mass of the liquid water and the mass of the water vapor. The mass of the liquid water can be calculated by multiplying the mass of the water and vapor mixture by the fraction of the mixture that is liquid water (1.4 kg * 0.25 = 0.35 kg). The mass of the water vapor can be calculated by subtracting the mass of the liquid water from the total mass of the mixture (1.4 kg - 0.35 kg = 1.05 kg).
To determine the final temperature of the tank, you will need to know the amount of heat added to the tank by the electric resistor and the specific heat capacity of the water and water vapor mixture. The specific heat capacity is a measure of the amount of heat required to raise the temperature of a substance by a certain amount. The specific heat capacity of water is 4.186 J/g°C, and the specific heat capacity of water vapor is 2.080 J/g°C.
To determine the electric power rating of the resistor, you will need to know the amount of heat added to the tank by the resistor and the time over which the heat was added. The power rating of the resistor is equal to the amount of heat added to the tank divided by the time over which the heat was added.
I hope this helps clarify the problem and provide some guidance on how to solve it. If you have any further questions or need additional help, please don't hesitate to ask.
technician a says that you should clean the caliper mountings and slides/pins using equipment/procedures for dealing with asbestos/hazardous dust. technician b says that once the dust is taken care of, you may need to use a brake cleaning solvent to clean the components further. who is correct? group of answer choices technician a technician b both technician a and technician b neither technician a nor technician b
Technician B says that once the dust is gone, you might need to clean the parts with a brake cleaning solvent. Both are correct.
What exactly are caliper mountings?When working with hazardous materials like asbestos dust, it's critical to follow proper safety procedures. To reduce the likelihood of being exposed, this might entail wearing protective gear like gloves and respirators and adhering to specific cleaning procedures.
As a result, the caliper mountings and slides/pins may require further cleaning with a brake cleaning solvent after the hazardous dust has been appropriately removed. When using any cleaning solvent, it is essential to follow the directions provided by the manufacturer and to exercise caution.
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The coefficient of friction is found by ?
Answer:
The formula to calculate the coefficient of friction is μ = f÷N. The friction force, f, always acts in the opposite direction of the intended or actual motion, but only parallel to the surface.
give the units for the gain parameter of current-controlled voltage sources.
The gain parameter of current-controlled voltage sources is measured in volts per ampere (V/A).
This parameter defines the relationship between the input current and the output voltage of the source. A positive gain value indicates that an increase in the input current results in an increase in the output voltage, while a negative gain value indicates an inverse relationship between the input current and output voltage. The gain parameter is an important characteristic of current-controlled voltage sources and is used in many electrical and electronic applications, such as amplifier circuits, power supplies, and motor control systems. In summary, the gain parameter is measured in volts per ampere (V/A) and determines the relationship between the input current and output voltage of a current-controlled voltage source.
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The mean of 10 numbers is 9, then the sum (total) of these numbers will be
Answer:
90
Explanation:
mean is basically taking the sum of all numbers and then dividing the sum with the number of all given numbers..
here, the mean is 9, total numbers are 10.. so the sum will be 9 multiplied by 10, that is 90.
If the mean of 10 numbers is 9, then the sum (total) of these numbers will be 90. The correct option is D.
What is mean?The mean is the average of a set of variables in mathematics and statistics. The mean can be calculated in a variety of ways, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean. Mean is denoted by a small m.
To calculate mean: Arrange the data items in ascending order from least to greatest. If the number of points is odd, the median is the data point in the middle of the list. If the number of data points in the list is even, the median is the average of two middle data points.
Mean = total sum of the numbers/total numbers
9 = total sum of the numbers / 10
The sum of the terms = 9 x 10 = 90
90 = total sum of the numbers
Therefore, the correct option is D. 90
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The question is incomplete. Your most probably complete question is given below:
A. 9. B. 0.9. C. 70. D. 90
When exchanging information with anyone involved in the collision, you should _____.
Try to be as relax as possible.
Provide names of all parties involved.
Provide vehicle information and identification details.
Provide full names, address, registration numbers and insurance company details.
Explanation:
After a collision one may be confused, afraid and have no attention about the details that what happened because all the collision event happens in a short interval of time. So the first thing one should do during information exchange is to sit back and relax and be calm so that one can remind the things at some extent. After that provide all the details about injured people and the involved vehicles.
why do data warehouses need to keep historical data instead of simply the most current values?
Data warehouses need to keep historical data instead of simply the most current values because it allows organizations to analyze trends and patterns over time. By keeping a record of historical data, organizations can better understand how their business has evolved, identify areas for improvement, and make informed decisions for the future.
For example, a retailer may want to analyze sales data from the past few years to determine which products have been the most popular during certain seasons or events. By looking at historical data, the retailer can make more informed decisions about inventory management and marketing strategies for upcoming seasons.
Another example is a financial institution that needs to track customer behavior and transactions over time to detect patterns of fraud or suspicious activity. By keeping a record of historical data, the institution can better identify potential fraudulent activities and take appropriate actions to prevent further damage.
In addition, historical data can be used to comply with regulatory requirements, perform audits, and provide evidence in legal disputes. By maintaining a complete record of historical data, organizations can ensure that they have the information needed to meet these obligations.
Overall, keeping historical data is essential for data warehouses because it enables organizations to gain insights into their past performance and make informed decisions for the future.
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The acceleration function of an object doing curvilinear motion is a = {(-0.2)i+2j+1.5k) m/s², where t is in s. If its initial velocity vo 8i m/s, and initial position is at the origin, determine the magnitude of its velocity when t = 3 s.
Answer:
the magnitude of the velocity when t = 3 s is 10.54 m/s.
Explanation:
To solve this problem, we can use the following kinematic equation that relates velocity, acceleration, and time:
v = vo + at
where:
v = final velocity
vo = initial velocity
a = acceleration
t = time
First, we need to find the velocity of the object at time t = 3 s. To do this, we can substitute the given values into the kinematic equation and solve for v:
v = vo + at
v = 8i + (-0.2i+2j+1.5k) x 3
v = 8i - 0.6i + 6j + 4.5k
v = 7.4i + 6j + 4.5k
The magnitude of the velocity is given by:
|v| = sqrt(vx^2 + vy^2 + vz^2)
where:
vx, vy, vz = the x, y, and z components of the velocity vector
Substituting the values from above, we get:
|v| = sqrt((7.4)^2 + 6^2 + (4.5)^2)
|v| = sqrt(54.81 + 36 + 20.25)
|v| = sqrt(111.06)
|v| = 10.54 m/s (approx)
After execution of the code fragment
class rectangle
{
public:
void setData(int, int); // assigns values to private data
int getWidth() const; // returns value of width
int getLength() const; // returns value of length
rectangle(); // default constructor
private:
int width; // width of the rectangle
int length; // length of the rectangle
};
// copies the argument w to private member width and l to private member length.
void rectangle::setData(int w, int l)
{
width = w;
length = l;
}
// returns the value stored in the private member width.
int rectangle::getWidth() const
{
return width;
}
// returns the value stored in the private member length.
int rectangle::getLength() const
{
return length;
}
// Default constructor.
rectangle::rectangle()
{
width = 0;
length = 0;
}
int main()
{
rectangle box1, box2, box3;
int x = 4, y = 7;
box1.setData(x,x);
box2.setData(y,x);
cout << box1.getWidth() + box1.getLength();
return 0;
}
what is displayed on the screen?
The expression `box1.getWidth() + box1.getLength()` evaluates to `4 + 4`, which is `8`. Therefore, the output displayed on the screen will be:
8
After execution of the code fragment class what is displayed on the screen?The code provided creates three instances of the `rectangle` class named `box1`, `box2`, and `box3`. It then sets the data for `box1` and `box2` using the `setData` function, passing `x` and `y` as arguments.
In the `main` function, `box1.getWidth()` returns the value stored in the private member `width` of `box1`, which is `4`. Similarly, `box1.getLength()` returns the value stored in the private member `length` of `box1`, which is also `4`.
The expression `box1.getWidth() + box1.getLength()` evaluates to `4 + 4`, which is `8`.
Finally, the `cout` statement outputs `8` to the screen.
Therefore, the output displayed on the screen will be:
8
Learn more about arguments
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A plant has ten machines and currently operates two 8-hr shift per day, 5 days per week, 50 weeks per year. the ten machines produce the same part each at a rate of 30 pc/hr. (a) determine annual production capacity of this plant. (b) if the plant were to operate three 8-hr shifts per day, 6 days per week, 51 weeks per year, determine the annual percentage increase in plant capacity
Answer:
83.6%
Explanation:
(a)On its current schedule, the plant can theoretically produce ...
(30 pc/h/machine)(10 machine)(8 h/shift)(2 shift/day)(5 day/wk)(50 wk/yr)
= (30)(10)(8)(2)(5)(50) pc/yr = 1,200,000 pc/yr
__
(b)On the proposed schedule, this production becomes ...
(30 pc/mach)(10 mach)(8 h/sh)(3 sh/da)(6 da/wk)(51 wk/yr)
= (30)(10)(8)(3)(6)(51) pc/yr = 2,203,200 pc/yr
The increase in capacity is ...
(2,203,200/1,200,000 -1) × 100% = 83.6% . . . capacity increase
_____
Additional comment
The number of parts per shift did not change. Only the number of shifts per year changed. It went up by a factor of (3/2)(6/5)(51/50) = 1.836. Hence the 83.6% increase in capacity.
We have to assume that maintenance and repair are done as effectvely as before in the reduced down time that each machine has.