The various mechanical properties as obtained based on the load-deformation behaviour is estimated as follows:
a. the modulus of elasticity - 57.8 kPsi
b. the proportional limit - 67 kPsi
c. the ultimate strength - 97 kPsi
d. the yield strength (0.05% offset) - 15 kPsi
e. the yield strength (0.20% offset) - 61 kPsi
f. the fracture stress - 81 kPsi
g. the true fracture stress if the final diameter of the specimen at the location of the fracture was 0.387 in - 104 kPsi.
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if load and resistance factor design (lrfd) is used, determine the factored load (required strength) to be used in the design of the column. which load combination controls?
In Load and Resistance Factor Design (LRFD), the factored load (required strength) is determined by multiplying the loads acting on the column by load factors specified in the design code.
The load factors represent the variability and uncertainty in the loads and are used to ensure a certain level of safety in the design. The load combination that controls the design of the column is the combination of loads that results in the maximum factored load. This is typically determined by considering all possible combinations of loads and selecting the combination that results in the highest factored load.
The load combination is determined using the load combinations specified in the design code, which typically include the effects of dead load, live load, wind load, earthquake load, and other loads as applicable.
For example, according to the American Institute of Steel Construction (AISC) LRFD specification, the required strength for a column is determined using the load combination:
1.2DL + 1.6LL + 0.5E + 0.5L + 0.2S
where DL is the dead load, LL is the live load, E is the earthquake load, L is the wind load, and S is the snow load.
In LRFD, the factored load is determined by multiplying the loads in the load combination by the load factors. The load factors used in LRFD are typically lower than those used in Allowable Stress Design (ASD), which is another design methodology. This results in a more conservative design, but also leads to larger safety margins.
In conclusion, the factored load used in the design of a column in LRFD is determined by multiplying the loads acting on the column by load factors specified in the design code. The load combination that controls the design is the combination of loads that results in the maximum factored load, which is typically determined using the load combinations specified in the design code.
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From the following complex phasor vectors, find the sinusoidal vector K() in terms of or: (a) K= jý + Ź (b) K = i(+ jį) (c) Kre M f - je to z
The term "phasor" refers to a complex number that is used to represent a sinusoidal voltage or current. Phasors are spinning vectors with lengths equal to the oscillations' peaks and angular speeds equal to their angular frequencies.
The phasor's size is equal to the sinusoidal waveform's greatest value, and its phase is equal to the difference between the sinusoidal waveform and a cosine waveform. The phase relationships between two or more oscillations can be represented using them to good effect. They are a helpful tool for adding and subtracting oscillations. Arrows pointing to the displayed point from the complex plane's origin (0, 0) are known as complex number vectors (a, b). A convoluted argument.
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the stress component which acts on any point in the surrounding material before the excavation of the shaft can be resolved into __________ parts.
a) 3
b) 5
c) 2
d) 4
Prior data to the excavation of the shaft, the stress component acting on any point in the surrounding material can be divided into three categories: vertical, radial, and tangential stress.
Prior to the excavation of the shaft, the stress component acting on any point in the surrounding material can be divided into three categories: vertical, radial, and tangential stress. Vertical stress is the kind of stress that acts vertically and is often brought on by the weight of the substance above. The stress that acts perpendicular to the vertical direction is known as radial stress, and it is often brought on by the lateral pressure of the surrounding material. Tangential stress is the kind of tension that acts perpendicular to the vertical axis and is often brought on by the excavation's shear forces. Depending on how the shaft is oriented, each of these stresses can be further broken down into individual components. For instance, axial and circumferential components can be distinguished in vertical stress.
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The file souvenirSales.xls contains monthly sales for a souvenir shop at a beach resort town in Queensland, Australia, between 1995 and 2001. Back in 2001, the store wanted to use the data to forecast sales for the next 12 months (year 2002). They hired an analyst to generate forecasts. The analyst first partitioned the data into training and validation periods, with the validation period containing the last 12 months of data (year 2001). She then fit a regression model to sales, using the training period. a. Create a well-formatted time plot of the data b. Change the scale of the x axis, y axis, or both to logarithmic scale in order to achieve a linear relationship. Select the time plot that seems most linear.
Select the Format axis from the context menu when you right-click each axis scale in your XY (scatter) graph. Select the Axis Options tab, then check the Logarithmic scale in the Format Axis box.
Raising the base to the power of each x- and y-data point will change the scale from logarithmic to linear. 10 raised to the first and second powers would produce values of 10 and 100 for the first ordered pair, making the ordered pair in a linear scale (10, 100). The use of logarithmic scales in charts and graphs is motivated by two basic factors. The first is to react to cases of skewness towards large values, or when one or a few points are significantly larger than the majority of the data.
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which step of the engineering design process involes interviewing a client and creating a list of requirment
Please answer the question
The process works by passing air over the material, which evaporates moisture from the material and increases the relative humidity of the air.
What is the mass flow rate of the outlet air?The mass flow rate of the outlet air can be calculated using the following equation:mass flow rate of outlet air = (mass flow rate of inlet air) * (moisture content of inlet air - moisture content of outlet air) / (moisture content of outlet air - humidity of outlet air)Therefore, the mass flow rate of the outlet air is:(329 kg/h) * (15.7% - 3.39%) / (3.39% - 91.0%) = 8981 kg/hThis means that the mass flow rate of the outlet air is 8981 kg/h.This calculation is based on the assumption that the air is saturated at the inlet and outlet temperatures, and that the air is dry at the inlet.Additionally, the calculation assumes that the inlet and outlet relative humidity values are expressed as a percentage of the saturation humidity at the respective temperatures.This is called psychrometric drying, which is a process that uses a combination of heat and humidity to remove moisture from a material.The heated, humid air is then passed through a cooling system, which reduces its relative humidity and allows it to absorb more moisture from the material. This process can be repeated multiple times until the material reaches the desired moisture content.To learn more about The mass flow rate refer to:
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write a program the creates generic list which can hold the instances of the circles
Write a program the creates a Generic list that can hold the instances of the Circles •Create a Class called Circles. Which has a constructor that accepts the circle name and Diameter •In your main method, instantiate 3 instances of Circle class called C1, C2, and C3 with diameter 1, 2, 3 respectively and add to the List •Create an instance of a circle called C4 and insert it as the third element of the list •Remove the first element of the list Finally, print all the Circle's names in the list
Generic classes can be instantiated by enclosing a real type in angle brackets. The generic class DataStore is created by the following.
Prior to the programming element being utilised in the programme, you may specify the data type of a programming element in a class or function using generics. To put it another way, generics let you create a class or function that can handle any form of data. A notion called generic enables us to construct classes and functions using placeholders. At compilation time, the C# compiler substitutes these placeholders with the given type. Generic classes and methods are created using the generics theory. We need angle brackets to define the generic class.
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please answer the question
The reaction effluent goes to a condenser from which two streams emergers a liquid product stream containing essentially all of the methanol formed in the reactor, and a gas stream containing all of the CO, H2 leaving the reactor.
What a methanol synthesis loop with a stoichiometric feed?A methanol synthesis loop with a stoichiometric feed of CO and H2 is to be designed for 95% overall conversion of CO. All the methanol formed leaves in the product stream.
Not more than 2% of the CO and 0.5% of the H2 emerging form the reactor is to leave in the product stream- the remainder is recycled.
Therefore, The reaction effluent goes to a condenser from which two streams emergers a liquid product stream containing essentially all of the methanol formed in the reactor, and a gas stream containing all of the CO, H2 leaving the reactor.
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A typical motorcycle emits about 20 g of CO per mile. What volume of CO would a 5-mile trip produce after the gas coolsto 25°C (at 1 atm) and per meter of distance traveled, whatvolume of air could be polluted to the air quality standard of 9ppm?
A very low concentration level of pollutants in the air, water, and other fluids is expressed in parts per million (PPM), a unit of measurement. Good 0-50 A satisfactory level of air quality and little to no risk from air pollution is present. 51-100, moderate.
Although the air quality is adequate, a very tiny proportion of people who are exceptionally sensitive to air pollution may have a moderate health concern for some contaminants. Air pollution is defined as the presence of unwelcome substances that contaminate the air and affect both living things and non-living things. Air pollutants are the things that poison the air. Heart disease, lung cancer, and respiratory illnesses like emphysema are a few of the long-term health repercussions of air pollution. People's nerves, brains, kidneys, livers, and other organs can suffer long-term harm from air pollution. Air pollution may be a factor in birth abnormalities, according to some scientists.
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Non normal data in data science
A data set might follow a variety of non-normal distributions, depending on the nature of the process, the technique of data collection, the sample size, outliers in the data, etc. Below is a list of some of the most significant non-normal distributions; Alpha Distribution Exponential
What non-normal data represent in data science?Several tests, including the t-test, ANOVA, Regression, and DOE, are unaffected by the assumption of normality.
Since no attribute (such as height, weight, etc.) will have a perfectly normal distribution, non-normality is a fact of existence. Using a transformation is one way to make non-normal data resemble regular data.
Therefore, The non-normal data can be analysed in two different ways. Use non-parametric tests, which don't make any assumptions about normality, or convert the data with the right function to make it follow a normal distribution.
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what should the release train engineer do during the final plan review on day two of program increment (pi) planning?
The Release Train Engineer (RTE) finds out that the teams believe the commercial value does not accurately reflect their work and advancement.
Utilize a variety of tools, like the Program Kanban and other information radiators, to manage and improve the flow of value through the ART.
Create and distribute the annual iteration and program increment calendars (PIs) Lunch and evaluation of the final plan - All teams will present their strategies to the group during this session. Each team finishes its time slot by outlining its risks and obstacles. The team then gives the RTE the hazards for use throughout the ROAMing exercise. The team then asks the company owners if they approve of the idea.
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Boxplots cannot be used:
A. to identify outliers in a data set
B. to plot several data sets side by side
C. to determine the symmetry of a data set
D. to determine if a data set is bell shaped
A. to identify outliers in a data set - Incorrect. Boxplots can be used to identify outliers in a data set. Outliers are represented by individual points outside the upper and lower whiskers of the plot.
B. to plot several data sets side by side - Correct. Boxplots can be used to plot several data sets side by side to compare their distributions and identify any differences or similarities.
C. to determine the symmetry of a data set - Correct. Boxplots do not provide information about the symmetry of a data set. Symmetry refers to the mirror image relationship between two halves of a distribution and requires a more sophisticated statistical analysis to determine.
D. to determine if a data set is bell shaped - Incorrect. Boxplots can provide information about the shape of a data set, but cannot determine if it is bell-shaped. A more sophisticated statistical analysis is required to make this determination.
A boxplot, also known as a box-and-whisker plot, is a useful graphical representation of a data set that provides information about its distribution, including the median, quartiles, range, and potential outliers. However, it has some limitations and is not suitable for certain tasks.
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what speed do piston accumulators
Piston accumulators can handle flow rates of up to 818 gpm at a size comparable to a bladder unit. The piston's top speed for an accumulator is 120 inches per second. Based on piston speeds of 120 in./sec, all piston flow rates
The piston accumulator is made out of a cylinder with a well sealed, freely floating piston within. Between the gas and the oil, the piston acts as a barrier. As a safety measure, a threaded lock ring prevents the operator from disassembling the device while it is pre-charged.
The energy in the compressed gas presses on the piston separating the gas and hydraulic fluid in the piston-type accumulator. The fluid from the cylinder is then forced into the system by the piston and into the area where productive work will be done.
Pretty about any size can be produced for piston accumulators. Applications that demand a huge amount of energy use large-bore piston accumulators.
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A rectangle ABCD, which measures 18cm by 24 cm, is foldee once perpendicular to a diagonal AC so that the opposite vertices A and C coincide. Find the length of the fold.
As typical synonyms for coincide, the terms concur and agree might be used. The term coincide, which is used more frequently of ideas, judgements, wants, or interests than of persons.
Denotes complete agreement even though all three words have the same meaning—"to come into or be in accord about a topic of opinion."Award-winning Windows programme called FolderMatch makes it simple to compare folders and files and locate duplicate files. For three years running, FolderMatch has won the coveted Shareware Industry Award. It provides essential protection against data loss. File Explorer search: A location may be chosen from the left pane to search for or explore in by opening File Explorer from the taskbar or by right-clicking on the Start menu and selecting File Explorer. For instance, choose This PC to search across all of your computer's discs and gadgets, or choose Documents to search only the items kept there.
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blood, modeled as a casson fluid, is placed in a sliding plate viscometer. confirm that the velocity profile is linear and find the plate velocity when the plate is pulled with a force f.
The Casson fluid model explains how blood flow exhibits non-Newtonian characteristics. In order to ignore the entrance and end effects in the arterial segment under study, it is assumed that the artery wall is inflexible (due to the presence of the stenosis) and that the artery is long enough.
A two-fluid model of blood has been developed, with the plasma at the periphery acting as a Newtonian fluid and the erythrocytes in the core area suspended in a Casson fluid. Blood is a shear-thinning, non-Newtonian fluid having thixotropic and viscoelastic characteristics. Blood viscosity readings between 3.5 and 5.5 cP are regarded as normal in many cardiology handbooks.
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classify each of the following failures by identifying its category in fig. 1.1, and explain the reasons for each choice in one or two sentences: (a) the plastic frames on eyeglasses gradually spread and become loose. (b) a glass bowl with a small crack breaks into two pieces when it is immersed, while still hot, into cold water. (c) the steel radiator fan blades in an automobile develop small cracks near the base of the blades. (d) a large steel artillery tube (barrel), which previously had cracks emanating from the rifling, suddenly bursts into pieces. classify both the cracks and the final fracture (e) the nickel-alloy blades in an aircraft turbine engine lengthen during service and rub the casing.
Each of the following failures was categorized by identifying its category
Plastic eyeglass frames flex and loosen with time. This is an illustration of creep failure.
When a glass bowl with a minor crack is plunged in cold water while still hot, it splits into two pieces. This is an illustration of thermal shock failure.
A little fracture appears directly in front of one of the finger rings on a pair of plastic scissors. This is an illustration of fatigue failure.
A copper water pipe freezes, causing a longitudinal break and a leak. Brittle fracture is seen here.
The radiator fan's steel fan blades are leaking. This is an illustration of creep failure.
Explanation of each of the aforementioned failures This is an example of creep failure, which happens when a material is subjected to continual tension over time and deforms. Because of the frequent tension of wearing them, plastic eyeglass frames flex and loosen. Thermal shock failure occurs when a material is subjected to a quick shift in temperature, causing it to fracture or shatter.
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Please answer my question
The graph shows that as the oral dose of ascorbic acid (vitamin C) increases, the steady-state plasma concentration of ascorbic acid also increases, reaching a plateau at a dose of 1000mg/day.
This suggests that the absorption of ascorbic acid is likely a passive process, meaning that the molecule diffuses across the intestinal wall without the need for any specific transporters or enzymes.
What is the graph about?The graph shows the relationship between oral dose of ascorbic acid and the steady-state plasma concentrations of ascorbic acid. The graph is a useful tool for understanding how much of the dose is absorbed and how well the body is able to maintain steady-state plasma concentrations.
Therefore, This saturation point suggest that the absorption of ascorbic acid is likely a passive process, meaning that the molecules are able to diffuse across the intestinal wall without the need for specific transporters or enzymes, which can be seen by the absence of saturation of the absorption process at high doses, as would be expected for facilitated or active transport.
Additionally, this graph also indicates that the current RDA (recommended daily allowance) of ascorbic acid is sufficient to maintain healthy plasma concentrations in the body.
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Windows 10 allows users to customize their desktop preferences.For the purpose of this discussion, consider a scenario where you manage more than 100 Windows 10 devices and are asked to provide input on allowing users to customize items such as the Start Menu.What settings should you allow users to change, and what settings should be controlled by the system administrator?What are the advantages and disadvantages?How does the industry of the organic? I zation play a role in your answer?
Note that when allowing users to customize their desktop preferences in Windows 10 on more than 100 devices, it is important to strike a balance between personalization and consistency. The following are some recommended settings for user customization:
Desktop background - allowing users to set their own desktop background can help improve their experience and productivity.The following settings should be controlled by the system administrator:
Security settings - to ensure the security and stability of the system, the system administrator should control settings such as updates, firewalls, and antivirus protection.
What are the advantages of allowing user customization?The advantages are:
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(ii) for fcc gold, what would be the size of the largest atom that would just fit in an (i) octahedral hole (a) and (ii) tetrahedral hole (b) of fcc gold?
The radius of largest atom for fcc gold that would fit in octahedral void hole is a=0.414r.
Let the radius of the octahedral void be a and the spheres be r .
In the adjoining figure it can be seen that,
2r root2 =2r+2a
⟹a=0.414r.
Octahedral voids are the spaces wich are found empty in the octahedral structure. It is present in compounds with a tetrahedral configuration in their crystal structure. It is basically found in the substance than has an octahedral configuration in their crystal structure.
Gold has a face-centered cubic crystal structure with a = 0.407 nm specificaly at room temperature.
FCC certification is a type of product certification for electronic and electrical goods that are manufactured or sold .
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the hermetic compressor consists of a motor compressor completely sealed a gastight ____ casing.
aluminum
steel
plastic
The hermetic compressor consists of a motor compressor completely sealed in a gastight aluminum casing.
A hermetic compressor is a type of air conditioning compressor that is sealed within the unit and does not allow any external air to enter. This is achieved by welding the compressor within the unit, making it hermetically sealed. The main advantage of a hermetic compressor is that it is more efficient and reliable than an open compressor.
It also eliminates the need for external shaft seals, which can be a major source of leaks in open compressors. Hermetic compressors are typically used in residential and light commercial air conditioning systems and are available in a variety of sizes to suit different cooling needs.
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if a, b, and c are boolean variables such that a is true, b is false, and c is true, which of these expressions evaluates to false?
I. !((a || b) && c)
II. !a && (b&&c)
III. !a &&(b || c)
is it 1 only, 2 only, 3 only, 2 and 3 only, or 1 2 and 3
The expressions evaluates to false are 2 and 3 only.
The expression for Option I evaluates to false, since it is equivalent to the expression !(true && true), which evaluates to false.
The expression for Option II evaluates to false, since it is equivalent to the expression !true && (false && true), which evaluates to false. The expression for Option III evaluates to true, since it is equivalent to the expression !true && (false || true), which evaluates to true.
When evaluating expressions, it is important to remember that each operator has a different precedence and will be evaluated in a specific order.
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The Crazy Nut Company wishes to market two special nut mixes during the holiday season. Mix 1 contains 2/3 pound of peanuts and 1/3 pound of cashews; mix 2 contains 3/5 pound of peanuts, 1/4 pound of cashews, and 3/20 pound of almonds. Mix 1 sells for $1.49 per pound; mix 2 sells for $1.69 per pound. The data pertinent to the raw ingredients appear in the table. Assuming that Crazy Nut can sell all cans of either mix that it produces, formulate an LP model to determine how much of mixes 1 and 2 the company should produce.
The LP model to determine how much of mixes 1 and 2 the company should produce will be:
Maximize : 1.0905X1 + 1.25X2
Subject to -
0.67X1 + 0.6X2 ≤ 30000
0.33X1 + 0.25X2 ≤ 12000
0.15X2 ≤ 10000
X1, X2 ≥ 0
How to depict the linear programLet's Assume, X1 pound mix 1 to be produced.
X2 pound mix 2 to be produced.
Therefore, total peanuts will be used = 0.67X1 + 0.6X2
Total cashew will be used = 0.33X1 + 0.25X2
Total almond will be used = 0.15X2
Total cost of peanuts = 0.35(0.67X1 + 0.6X2)
= 0.2345X1 + 0.21X2
Total cost of cashew =
0.5(0.33X1 + 0.25X2)
= 0.165X1 + 0.125X2
Total cost of almond =
0.7 x 0.15X2
= 0.105X2
Therefore, total cost =
0.3995X1 + 0.44X2
Selling price of mix 1 = $1.49
Selling price of mix 2 = $1.69
Therefore, total revenue = 1.49X1 + 1.69X2
Hence, total profit =
(1.49X1 + 1.69X2) - (0.3995X1 + 0.44X2)
1.0905X1 + 1.25X2
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a balanced delta-connected load is supplied by a 60-hz three-phase source with a line voltage of 240 v. each load phase draws 6 kw at a lagging power factor of 0.8. find:
Explanation:
Line current: To find the line current, we can use the formula:
I = P / (√3 * V * cos(Φ))
where:
I = line current (A)
P = power per phase (W)
V = line-to-line voltage (V)
cos(Φ) = power factor (lagging, so cos(Φ) = 0.8)
Plugging in the values:
I = 6 kW / (√3 * 240 V * 0.8) = 20.5 A
Phase current: To find the phase current, we divide the line current by √3:
I_phase = I / √3 = 20.5 A / √3 = 11.7 A
Total power: To find the total power, we multiply the power per phase by 3:
P_total = 3 * 6 kW = 18 kW
Apparent power: The apparent power, S, can be found using the formula:
S = √(P^2 + Q^2)
where:
P = real power (W)
Q = reactive power (VAR)
To find the reactive power, Q, we can use the formula:
Q = P / tan(Φ) = P / tan(arccos(cos(Φ)))
Plugging in the values:
Q = 6 kW / tan(arccos(0.8)) = 7.5 kVAR
S = √(6 kW^2 + 7.5 kVAR^2) = √(36 + 56.25) kVA = 9 kVA
The results show that the balanced delta-connected load is supplied by a 60-Hz three-phase source with a line voltage of 240V and draws a total of 18 kW of real power at a lagging power factor of 0.8. The line current is 20.5 A and the phase current is 11.7 A. The apparent power is 9 kVA.
Consider a gas whose equation of state is p(v-a) = R T, where a is a positive constant. Is it possible to cool this gas by throttling? Start with the relationship
Throttling can be used to chill the gas, yes. The equation of state states that the pressure is inversely proportional to the volume, hence lowering the volume of the gas lowers its temperature.
Throttling can be used to cool this gas, thus yes. In order to lower the temperature of the gas, the volume of the gas is lowered through the process of throttling. In order to accomplish this, the gas is compressed into a container that is tightly sealed. Reducing the volume will result in a reduction in pressure, which will lower the temperature of the gas since, according to the equation of state, pressure is inversely proportional to volume. Since this process can be reversed, increasing the volume will raise the temperature once more. As long as the pressure is maintained constant, the temperature of the gas will drop as the volume decreases because the constant an in the equation of state is a positive constant. So, it is
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how many connections (terminals) do you need for each operational amplifier (op-amp)? name each of the op-amp terminals and describe its function in your own words in one sentence per terminal.
An operational amplifier typically has three terminals: an inverting input (-), a non-inverting input (+), and an output (O).
The inverting input terminal accepts an input signal to be amplified and inverted, the non-inverting input terminal accepts an input signal to be amplified without being inverted, and the output terminal provides the amplified signal.
An operational amplifier (op-amp) is an integrated circuit (IC) that is designed to perform a wide range of mathematical operations on a set of input signals. It is characterized by a high gain, large bandwidth, and high input impedance. An op-amp typically has two input terminals, one inverting input (marked with a minus sign, -) and one non-inverting input (marked with a plus sign, +).
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compare and contrast the following instruments deflection and null output instruments
Deflection instruments measure the deviation of a physical quantity (e.g. voltage, current, force) from its zero value, while null output instruments determine the exact value of the physical quantity by nullifying it.
In other words, deflection instruments display the magnitude of a physical quantity, while null output instruments determine its precise value.
Examples of deflection instruments are analog voltmeters and ammeters, which measure the deviation of a voltage or current from zero. Examples of null output instruments are digital multimeters, which determine the precise value of voltage, current, or resistance by nullifying it.
when will bfs outperform dfs?
Breadth-First Search (BFS) and Depth-First Search (DFS) are two common algorithms used for traversing graphs and trees. BFS and DFS have different strengths and weaknesses, and one may outperform the other in different scenarios.
What is the performance about?BFS is typically used when we want to find the shortest path in a graph, for example, finding the minimum number of steps required to reach a target node from a source node. In this case, BFS will always find the optimal solution because it explores all the nodes at the same depth before moving on to the next level.
On the other hand, DFS is typically used when we want to search as deep as possible in a graph, for example, when searching for a specific node in a tree-like structure. In this case, DFS may reach the target node faster than BFS because it explores the deepest branches of the graph first.
In general, BFS may be slower than DFS because it explores all nodes at the same depth before moving on to the next level, resulting in a larger search space. On the other hand, DFS may be faster than BFS because it explores the deepest branches first, resulting in a smaller search space.
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Wild West produces two types of cowboy hats. A Type 1 hat requires twice as much labor time as a Type 2. If all the available labor time is dedicated to Type 2 alone, the company can produce a total of 400 Type 2 hats a day. The respective market limits for the two types are 150 and 200 hats per day. The revenue is $8 per Type 1 hat and $5 per Type 2 hat.
The revenue is $8 per Type 1 hat and $5 per Type 2 hat is $1800.
What is revenue?Revenue, which is determined by multiplying the average sales price by the number of units sold, is the money made from regular business operations.
Given : A type 1 hat requires twice as much labor time as a type 2. If all the available labor time is dedicated to type 2 alone, the company can produce a total of 400 "type 2" hats a day
The respective market limits for the two types are 150 and 200 hats per day. The revenue is $8 per type 1 hat and $5 per type 2 hat
To Find: Condition for maximum profit
Type 2 need T hours
Then Type 1 need 2T hours
Available hrs = 400 T = 400T
Let say A is type 1 & B is type 2
2AT + BT ≤ 400T
2A + B ≤ 400
A ≤ 150
B ≤ 200
Points ( 150 , 100) , ( 100 , 200) as ( 0 ,200) and ( 150 , 0 ) can be ignored just by seeing the point.
Revenue = 8A + 5B
( 150 , 100)
8(150) + 5(100) = 1200 + 500 = 1700
( 100 , 200)
8(100) + 5(200) = 800 + 1000 = 1800
Type 1 = 100
Type 2 = 200
Revenue = 1800 $
Therefore, the revenue is $1800.
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The 13-lb weight is supported by the cord AC and roller and by the spring as shown in the figure. If the spring has an unstretched length of 8 in., and the weight is in equilibrium when d = 4 in., determine the stiffness k of the spring.
can you help me with a question
3.27 A section of a sphere is described by 0 ≤ R ≤ 2,
0 ≤ θ ≤ 90◦
, and 30◦ ≤ φ ≤ 90◦. Find the following:
(a) The surface area of the spherical section.
(b) The enclosed volume.
Also sketch the outline of the section.
The Pearson correlation coefficient, or r, can vary from a value of +1 to a value of -1. If the value is 0, there is no correlation between the two variables.
A number greater than 0 denotes a positive connection, meaning that as one variable's value rises, the value of the other variable also rises. r = θ2, 0 ≤ θ ≤ 2π is 13[(4π2+4)32−8] 1 3 [ ( 4 π 2 + 4 ) 3 2 − 8 ] . The absence of a linear relationship between two variables is indicated by a correlation coefficient of zero. The integral L=bar2+(drd)2d gives the arc length of a polar curve r=f() between =a and =b. The polar curve at r = 2, 0 7/4 has an accurate length of 13[(49216+4)328]. 1 3 [ ( 49 π 2 16 + 4 ) 3 2 − 8 ] . The arc-length function's formula is s=ta(f′(u))2+(g′(u))2+(h′(u))2du and it is closely related to the arc-length formula. Two terms only occur under the square root in the integral if the curve is two-dimensional.
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