Based on Jane Doe's situation, with an inadequate savings account, a steady income of $25,000, four dependents, and $22,000 in savings, the general investment advisor would recommend investing in savings.
The given predicate consists of a set of rules and conditions that describe the decision-making process of a general financial advisor. Each rule represents a specific scenario or condition for making investment recommendations based on factors such as savings account status, income level, dependents, and so on.
To describe Jane Doe's situation using the predicate, we can incorporate the relevant information provided:
1. savings account(inadequate) investment(savings).
- This rule suggests that if Jane's savings account is inadequate, the recommended investment would be in savings.
6. X earnings(X, steady) ^ 3 Y (dependents(Y) ^ greater(X, minincome(Y))) income(adequate).
- This rule indicates that if Jane's earnings are steady and she has dependents, and her income is considered adequate based on the minimum income requirement for her dependents, then her income is deemed adequate.
9. amount_saved(22000).
- This statement specifies that Jane has saved $22,000.
10. earnings(25000, steady).
- This statement states that Jane has a steady income of $25,000.
11. dependents(4).
- This statement indicates that Jane has four dependents.
Based on this information, we can conclude that Jane Doe's situation aligns with the following:
- Jane has an inadequate savings account, suggesting that the recommended investment would be in savings.
- Jane has a steady income of $25,000, which is considered adequate.
- Jane has four dependents.
- Jane has saved $22,000.
Considering these factors, the general financial advisor would provide recommendations based on Jane's specific situation, taking into account her inadequate savings account, steady income, dependents, and savings amount.
Learn more about investment:
https://brainly.com/question/29547577
#SPJ11
4. What do these expressions evaluate to? 1. 3 == 3 3. 3 != 3 4. 3 >= 4 5. not (3<4) 5. Complete this truth table: p q r (not (p and q)) or r F F F ?
F F T ? F T F ?
F T T ?
T F F ? T T F ?
T T T ? )
The expressions evaluate to: 1. True, 2. False, 3. False, 4. False.
The truth table is as follows: (p, q, r) -> (False, False, False): False, (False, False, True): True, (False, True, False): False, (False, True, True): True, (True, False, False): False, (True, False, True): True, (True, True, False): True, (True, True, True): True.
1. The expression "3 == 3" compares if 3 is equal to 3, which is true. Therefore, the result is True.
2. The expression "3 != 3" compares if 3 is not equal to 3, which is false. Therefore, the result is False.
3. The expression "3 >= 4" compares if 3 is greater than or equal to 4, which is false. Therefore, the result is False.
4. The expression "not (3 < 4)" checks if 3 is not less than 4. Since 3 is indeed not less than 4, the expression evaluates to False.
5. The truth table shows the evaluation of the expression "(not (p and q)) or r" for different values of p, q, and r. The "not" operator negates the result of the expression inside it, and "or" returns True if at least one of the operands is True. The table reveals that the expression is True when r is True or when both p and q are True. In all other cases, it evaluates to False.
Learn more about expressions here:
https://brainly.com/question/31293793
#SPJ11
in the (fill in the blank) process, the sculptor begins with a mass of material, chipping it away as the work proceeds.
In the Subtractive Process , the sculptor begins with a mass of material, chipping it away as the work proceeds.
What is Subtractive Process?
A solid block of starting material is depleted by subtractive processes. Boring, milling, and machining are all subtractive operations used to make or change shapes.
A broad term for various controlled machining and material removal processes, subtractive manufacturing refers to the shaping of solid blocks, bars, and rods of plastic, metal, or other materials by removing material through cutting, boring, drilling, and grinding.
Turning is a subtractive machining technique that produces a range of shapes for finished components made of stone, wood, metal, or plastic.
Subtractive mixing gets its name from the fact that when paints are mixed, wavelengths are removed from what we see because each paint absorbs some of the wavelengths that the other paint reflects, leaving us with fewer wavelengths afterward.
Learn more about Subtractive Process click here:
https://brainly.com/question/15290229
#SPJ4
What historic event / period marked the beginning of the manufacturing boom in the mid-
to-late 18th century (1700s)?
Answer:
Industrial revolution too bad at english languge not fleunt so if say a whole story of this i will not make secene but answer is to it industrial revolution.
Explanation:
(1) The simple 2 kg pendulum is released from point A with an initial speed of 3 m/s shown. As it reaches the bottom position, the cord wraps around a smooth fixed pin and continues in the smaller are in the vertical plane. Determine the tension in the cord when the pendulum passes through point B. Ans: 102.5 N 1.2 m 0.8 m 400 3 m/s
The potential energy at point A is equal to the kinetic energy at point B.i.e., 1/2 mu^2 = mgh + T (Lθ)At point A, θ = 0°At point B, θ = 400° - 0° = 400°We can neglect the mass of the cord as it is much smaller than the mass of the pendulum i.e., 1/2 × 2 × 3^2 = 2 × 9.81 × 1.2 + T × (0.8 × 400 × π/180)T = (1/0.8 × 400 × π/180) × (1/2 × 2 × 3^2 - 2 × 9.81 × 1.2)T = 102.5 NThe tension in the cord when the pendulum passes through point B is 102.5 N.
The mass of the pendulum, m = 2 kg Initial speed, u = 3 m/sThe height from which the pendulum is released, h = 1.2 mThe length of the cord, L = 0.8 m The tension in the cord when the pendulum passes through point B = ?Formula Used:The total energy of the pendulum = Kinetic Energy + Potential Energy + Work done by the tensionKinetic Energy (K.E) = 1/2 mu^2Potential Energy (P.E) = mgh Work done by the tension = T (Lθ)Where, T = Tension in the cord, L = Length of the cord, θ = angle of rotation between points A and B Explanation: When the pendulum reaches the bottom-most position, the kinetic energy of the pendulum is completely converted into potential energy.
Learn more about potential energy
brainly.com/question/24284560
#SPJ11
what's the best way to plan an organized
Answer:
Get ready and comfortable.
List all of the tasks you need to accomplish over the next week. .
Next schedule everything.
Get a planner/calender.
Cut those tasks that do not fit into your
1. [Model Formulation of Linear Programming - Manufacturing] The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 5 hours of wiring and 6 hours of drilling. Each fan must go through 3 hours of wiring and 2 hours of drilling. During the next production period, 200 hours of wiring time are available and up to 120 hours of drilling time may be used. Each air conditioner sold yields a profit of $30. Each fan assembled may be sold for a $10 profit. Formulate this LP production-mix situation. (You do not have to solve this problem mathematically or using any software.)
(a) What are the Decision Variables?
(b) What is the Objective Function?
(c) What are Constraint Equations including non-negativity constraints?
Decision variables are the number of fans and air conditioners, the objective function is to maximize the profit, and constraints are available wiring and drilling hours.
In this manufacturing problem, the Electrocomp Corporation produces two electrical products: air conditioners and large fans. The assembly process for each product requires a certain amount of wiring and drilling. To formulate the linear programming (LP) problem, we need to identify the decision variables, the objective function, and the constraint equations.
Decision variables: Decision variables represent the quantities of the products to be produced. In this case, we use x to represent the number of air conditioners produced and y to represent the number of large fans produced.
Objective function: The objective is to maximize the profit. The profit for each air conditioner sold is $30, and the profit for each fan assembled is $10. Thus, the objective function can be written as: Profit = 30x + 10y.
Constraint equations: The constraints are based on the available wiring and drilling hours. The problem states that there are 200 hours of wiring time available and up to 120 hours of drilling time. The wiring constraint equation is given by 5x + 3y ≤ 200, which represents the total wiring hours used by producing x air conditioners and y large fans. The drilling constraint equation is 6x + 2y ≤ 120, which represents the total drilling hours used. Additionally, the variables x and y should be non-negative, as we cannot produce negative quantities of products: x ≥ 0 and y ≥ 0.
By formulating the LP problem in this way, we have established the decision variables, objective function, and constraint equations that will guide the optimization process to determine the optimal production mix of air conditioners and large fans.
Learn more about manufacturing here:
brainly.com/question/32717570
#SPJ11
A circuit has two resistors in parallel, each resistor is 6 ohms. This circuit is connected to a single resistor of 6 ohms, to form a series-parallel circuit. What is the total resistance of the circuit?
The tatal resistance of the series-parallel circuit with two resistor connected in parallel which combination is connected in series to a single resistor is 9 ohms.
What is a resistance?
This can be defined as the opposition to current flow in a circuit.
To calculate the total resistance, first we need to find the total resistance of the parallel resistor.
For parallel,
R' = (R₁R₂)/(R₁+R₂)............Equation 1Where:
R' = Total resistance of the parallel resistor.
From the question,
Given:
R₁ = 6 ohmsR₂ = 6 ohmsSubstitute these values into equation 1
R' = (6×6)(6+6)R' = 3 ohms.Finally, we combine the effective parallel resistance in series to the single resistance to the the total resistance of the circuit.
Rt = R'+R₃.................. Equation 2Where:
Rt = Total resistance of the circuit.From the question,
R' = 3 ohmsR₃ = 6 ohmsSubstitute these values into equation 2
Rt = 3+6Rt = 9 ohms.Hence, the total resistance of the circuit is 9 ohms.
Learn more about resistance here: https://brainly.com/question/28135236
#SPJ1
When your workplace obtains new materials, you should add them to the chemical list:
Answer:
immediately
Explanation:
Write 3 important things learned about oxyfuel cutting and welding system.
Answer:
see and make me brainlist
Explanation:
What is oxy fuel cutting used for?
Oxy-fuel cutting is used for the cutting of mild steel. Only metals whose oxides have a lower melting point than the base metal itself can be cut with this process. Otherwise as soon as the metal oxidises it terminates the oxidation by forming a protective crust.
How long does it take to become a master electrician.
To become a master electrician, it takes approximately four to five years of experience as a journeyman electrician. Once an individual becomes a journeyman electrician, they can work under the supervision of a master electrician and start gaining the required experience and knowledge they need to become a master electrician.
To gain journeyman status, a person typically has to complete an apprenticeship program that typically lasts four years. An electrician’s apprenticeship includes both classroom training and hands-on work experience, covering areas such as electrical theory, electrical code requirements, and safety procedures.In some states, additional requirements such as passing a test may be necessary to get the journeyman license. Once the individual has completed the journeyman requirements and gained the necessary experience, they can start pursuing their master electrician license.Most states require a minimum of two years of experience as a journeyman electrician, while others may require more. Additionally, passing an exam is also required for obtaining a master electrician license.
In conclusion, the process of becoming a master electrician can take about 4-5 years after becoming a journeyman electrician. This process may vary slightly from state to state, and requirements and qualifications also vary depending on the location.
To know more about master electrician visit:
https://brainly.com/question/27073052
#SPJ11
a water tower is supported by 4 columns spaced 12 m apart (center to center) in a square pattern. the total weight (dead plus live) of the tower is 16,000 kn. two options are being considered for the foundation: (1) support the columns on 4 m by 4 m square footings, or (2) support the tower on a single 16 m by 16 m square mat foundation. the footings or mat will be embedded to a depth of 2.0 m (i.e., their base will be 2.0 m below the ground surface). (a) if the tower is supported on a mat foundation, compute the increase in vertical stress that it produces at depths below the ground surface of 2 to 30 m immediately beneath the center of one of the columns. (b) if the tower columns are supported on individual footings, compute the increase in vertical stress that it produces at depths of 2 to 30 m below the ground surface immediately beneath the center of one of the columns; note that you must still include stress contributions from the other footings. (c) plot the results for the above two cases on the same figure. attach the spreadsheet solutions. at what depth is the increase in vertical stress practically independent (say, less than 10% different) of whether the tower is on footings or a mat? (d) if you imagined the stresses spreading at a 2:1 (vertical to horizontal) slope from the edges of the individual footings, at what depth would you expect the stress increases from the individual footings to begin overlapping? how does this depth compare to the depth you identified in part (c)?'
(a) The increase in vertical stress beneath the center of one column of a water tower on a mat foundation at a depth of 2 to 30 m is 3.92 kPa.
(b) The increase in vertical stress beneath the center of one column of a water tower on individual footings at a depth of 2 to 30 m is 5.09 kPa.
The total increase in stress was 5.09 kPa.
For (c), The spreadsheet solutions for both cases were plotted on the same graph, and the depth at which the stress increases were practically independent of the foundation type was found to be around 12 m.
For (d), assuming a 2:1 slope, the stress increases from the footings were expected to overlap at a depth of around 6 m, which is less than the depth identified in part (c).
To know more about vertical stress visit:
brainly.com/question/18958947
#SPJ11
Type ____ conductors have a temperature rating of 90 degrees celsius and generally meet the temperature requirement for connecting luminaires.
Type THHN/THWN conductors have a temperature rating of 90 degrees Celsius and generally meet the temperature requirement for connecting luminaires.
Type THHN/THWN conductors are commonly used in electrical wiring applications. THHN stands for Thermoplastic High Heat-Resistant Nylon, while THWN stands for Thermoplastic Heat and Water-resistant Nylon. These types of conductors are designed to withstand high temperatures and provide reliable electrical connections.
The temperature rating of 90 degrees Celsius indicates that these conductors can safely operate at temperatures up to 90 degrees Celsius without compromising their performance or safety. This temperature rating meets the requirement for connecting luminaires, which are fixtures used for lighting purposes.
THHN/THWN conductors are made of thermoplastic insulation materials with nylon coating, which enhances their heat resistance and electrical insulation properties. They are typically used for wiring installations in buildings, including residential, commercial, and industrial applications.
When connecting luminaires, which can generate heat during operation, it is important to use conductors with a suitable temperature rating to ensure safe and efficient electrical connections. The 90 degrees Celsius temperature rating of THHN/THWN conductors allows them to withstand the heat generated by luminaires and maintain reliable electrical conductivity.
Type THHN/THWN conductors with a temperature rating of 90 degrees Celsius are commonly used for connecting luminaires. These conductors provide a reliable and safe electrical connection, meeting the temperature requirements for luminaires and ensuring efficient operation without compromising their performance. When installing electrical wiring for lighting fixtures, it is crucial to choose appropriate conductors that can withstand the heat generated by the luminaires to ensure the safety and reliability of the electrical system.
To know more about THHN/THWN conductors, visit
https://brainly.com/question/30777031
#SPJ11
-0-1"
-0
-20
-15
-10
0
-5
75743366
Explanation:
The angle of attack of a wing directly controls the A) angle of incidence of the wing. B) amount of airflow above and below the wing. C) distribution of pressures acting on the wing.
The angle of attack of a wing directly controls the C) distribution of pressures acting on the wing.
When the angle of attack of a wing is increased, the air moving over the curved upper surface of the wing must travel a greater distance and faster than the air moving beneath the wing's flat lower surface. This creates an area of lower air pressure above the wing and an area of higher air pressure beneath the wing, resulting in lift. The greater the angle of attack, the greater the lift produced.
However, if the angle of attack is too great, the airflow over the wing may separate, causing a loss of lift and potentially leading to a stall. Therefore, proper control of the angle of attack is crucial for safe and efficient flight.
Option C is answer.
You can learn more about angle of attack at
https://brainly.com/question/30746770
#SPJ11
Why are diode logic gates not suitable for cascading operation?
Diode logic gates are not suitable for cascading operation because the pull-down or pull-up resistance within makes them a high output resistance device.
What is a cascading operation?A cascading operation can be defined as a process which involves the use of a circuit breaker's current-limiting capacity in order to enable an installation of lower-rated and lower-cost circuit breakers.
According to the National Electrical Code (NEC), diode logic gates are not suitable for cascading operation because the pull-down or pull-up resistance within makes them a high output resistance device.
Read more on National Electrical Code here: brainly.com/question/10619436
#SPJ1
given the wheelbase of the car 138.8 inches, trackwidth 75 inches and loads on tires as follows. determine the longitudinal cg location in inches measured from the front wheel,
Wheelbase, trackwidth, and tire load data can be used to determine the longitudinal CG location. The distance in inches between the center of gravity and the front wheel.
Wheelbase, trackwidth, and tire load data can be used to determine a car's longitudinal center of gravity (CG) location. The distance between the centers of the front and rear wheels is known as the wheelbase, while the distance between the left and right tire centerlines is known as the trackwidth. The amount of weight on each of the four tires that are in contact with the ground is known as the tire load. The entire weight of the vehicle is divided by the wheelbase and trackwidth, and the resulting number is multiplied by the wheelbase to determine the longitudinal center of gravity (CG) location. The resultant measurement, taken from the front wheel, is the longitudinal CG location in inches.
Learn more about distance here-
https://brainly.com/question/19915401
#SPJ4
-6. When we say the flip-flop is in the set condi-
_____ is at a
tion, we mean output
logical
MT
CL
The term “Flip-flop” relates to the actual operation of the device, as it can be “flipped” into one logical Set state or “flopped” back into the opposing logical set.
A flip-flop is a device which stores a single bit (binary digit) of data; one of its two states represents a "one" and the other represents a "zero". Such data storage can be used for storage of state, and such a circuit is described as sequential logic in electronics.
STATIC RAM (SRAM) consists of flip-flops, a circuit composed of four to six transistors. Once a flip-flop stores a bit, it keeps that value until the opposite value is stored in it.
Hence, logical set is used.
To know more about Flip flop from the given link
https://brainly.com/question/4237777
#SPJ1
Proving NP-completeness by generalization. For each of the problems below, prove that it is NP-complete by showing that it is a generalization of some NP-complete problem we have seen in this chapter (a) SUBGRAPH ISOMORPHISM: Given as input two undirected graphs G and H, determine whether Gis a subgraph of H (that is, whether by deleting certain vertices and edges of H we obtain a graph that is, up to renaming of vertices, identical to G), and if so, return the corresponding mapping of V (G) into V(H). (b) LONGEST PATH: Given a graph G and an integer g, find in G a simple path of length g. (C) MAX SAT: Given a CNF formula and an integer g, find a truth assignment that satisfies at least g clauses. (d) DENSE SUBGRAPH: Given a graph and two integers a and b, find a set of a vertices of G such that there are at least b edges between them. (e) SPARSE SUBGRAPH: Given a graph and two integers a and b, find a set of a vertices of G such that there are at most b edges between them. (G) into V(H). (b) LONGEST PATH: Given a graph G and an integer g, find in G a simple path of length g. (c) MAX SAT: Given a CNF formula and an integer g, find a truth assignment that satisfies at least g clauses. (d) DENSE SUBGRAPH: Given a graph and two integers a and b, find a set of a vertices of G such that there are at least b edges between them. (e) SPARSE SUBGRAPH: Given a graph and two integers a and b, find a set of a vertices of G such that there are at most b edges between them. (f) SET COVER. (This problem generalizes two known NP-complete problems.) (g) RELIABLE NETWORK: We are given two nx n matrices, a distance matrix dij and a connectivity requirement matrix rij, as well as a budget b; we must find a graph G = ((1, 2,...,n}, E) such that (1) the total cost of all edges is bor less and (2) between any two distinct vertices i and j there are rij vertex- disjoint paths. (Hint: Suppose that all dij are 1 or 2, b = n, and all rij's are 2. Which well known NP-complete problem is this?)
To demonstrate that a problem is NP-complete, we appear that it is within the NP course and can be decreased to a known NP-complete problem. From this deduction, all the problems are NP-complete.
How to prove that the problems are NP-complete by generalization.To demonstrate that a problem is NP-complete, we ought to appear that it is both within the NP complexity course which is as difficult as an existing NP-complete problem. Let's analyze each issue and appear how they can be seen as generalizations of known NP-complete problems:
(a) SUBGRAPH ISOMORPHISM: This problem generalizes the SUBSET-SUM problem, where rather than subsets and wholes, we have charts and subgraphs. SUBSET-SUM could be a well-known NP-complete issue, so SUBGRAPH ISOMORPHISM acquires its NP-completeness.
(b) LONGEST Way: This problem generalizes the HAMILTONIAN Way problem, where we are inquired to find a straightforward way of length rise to the number of vertices within the chart. HAMILTONIAN Way may be a known NP-complete issue, so LONGEST Way is additionally NP-complete.
(c) MAX SAT: This problem is as of now a known NP-complete problem, so no advance verification is required.
(d) Thick SUBGRAPH: This problem generalizes the CLIQUE problem, where we are inquired to discover a total subgraph of a certain size. CLIQUE could be a well-known NP-complete problem, so Thick SUBGRAPH acquires its NP-completeness.
(e) Inadequate SUBGRAPH: This problem can be seen as the complement of the Thick SUBGRAPH issue. Since Thick SUBGRAPH is NP-complete, its complement, Scanty SUBGRAPH, is additionally NP-complete.
(f) SET COVER: SET COVER may be a known NP-complete problem, so no encouraged confirmation is required.
(g) Solid Organize: This issue can be seen as a generalization of the HAMILTONIAN CYCLE problem. In case all did values are limited to 1 or 2, rij values are all 2, and b is equal to n, the issue gets to be identical to finding a Hamiltonian cycle. Since HAMILTONIAN CYCLE is NP-complete, the Solid Arrange issue acquires its NP-completeness.
By finding the relationship between these problems and known NP-complete problems, we will conclude that they are all NP-complete.
Learn more about NP-completeness here:
https://brainly.com/question/15097934
#SPJ4
Lu Wong works in an automobile manufacturing company. Her employer invites innovative ideas from everybody to cut down waste in the production line. As a result, Wong offers a foolproof solution to manage the industrial waste, which gets accepted and implemented as well. Which agreement would make the employee’s invention Wong’s property?
A.
a trademark
B.
work for hire
C.
a copyright
D.
a trade secret
write a java script function that allows the user to enter and convert Kenyan shillings into US dollars when a button is clicked on a web page. rate is 1 $ dollar 115 Ksh
Answer:
Explanation:
Like requested the following function is written in JavaScript and prompts the user for a total amount of Kenyan Currency that needs to be converted. It then places that value in a variable and divides it by 115 Ksh so that it gives us the USD value of that currency. Then that value is returned. The function can be attached to any button but it must be done manually when creating the button's onClick method.
function convertCurrency() {
var KenyanAmount = prompt("Please enter the amount of Kenyan you want to convert.");
var usdValue = "$" + (KenyanAmount / 115);
return usdValue;
}
The program is a sequential program, and does not require loops and conditional statements
The function in JavaScript where comments are used to explain each line is as follows:
//This defines the function
function convertCurrency() {
//This gets input for the amount to convert
var Amount = prompt("Kenyan Shillings: ");
//This converts the Kenyan Shillings to US Dollars
var usdValue = KenyanAmount / 115;
//This returns the converted amount to the main method
return usdValue;
}
Read more about JavaScript at:
https://brainly.com/question/9856013
Six forces act on a beam that forms part of a building's
frame. The vector sum of the forces is zero. The magnitudes
|FB| = Fel 20 kN, Fc = 16 kN, and (Fpl = 9 kN.
Determine the magnitudes of FA and FG.
Answer:
FA = 13 kN FG = 15.3 kNExplanation:
write each force in terms of magnitude and directions
Fx = F sin Ф
Fy = F cos Ф
where Ф is to be measured from x axis.
∑F at y = o
FAy + FBy + FCy + FDy + FEy + FGy = 0
∑F at x = o
FAx + FBx + FCx + FDx + FEx + FGx = 0
Let
FA = FA sin (110) + FA cos (110)
FB = 20 sin (270) + 20 cos (270)
FC = 16 sin (140) + 16 cos (140)
FD = 9 sin (40) + 9 cos (40)
FE = 20 sin (270) + 20 cos (270)
FG = FG sin (50) + FG cos (50)
add x and y forces:
FAx + FBx + FCx + FDx + FEx + FGx = 0
FAy + FBy + FCy + FDy + FEy + FGy = 0
FA sin (110) + 0 + 16 sin (140) + 9 sin (40) + 0 + FG sin (50) = 0
FA cos (110) - 20 + 16 cos (140) + 9 cos (40) - 20 + FG cos (50 = 0
FA sin (110) + 0 + 10.285 + 5.785 + 0 + FG sin (50) = 0
FA cos (110) - 20 - 12.257 + 6.894 - 20 + FG cos (50) = 0
FA sin (110) + 16.070 + FG sin (50) = 0
FA cos (110) - 45.363 + FG cos (50) = 0
solving for FA, and FG
FA = 13 kN
FG = 15.3 kN
From the given information, we can say that the sum of the upward forces is equivalent to the sum of the downward forces.
From the diagram, equating the component of the upward forces and the downward forces, we have:
\(\mathbf{-F_a sin 70 +F_c sin 40+F_d sin 40 + F_g sin50= F_b+F_e}\) --- (1)
Also, the sum of the horizontal positive x-axis as well as the horizontal negative x-axis can be computed as:
\(\mathbf{F_g cos 50 +F_d cos 40 = F_c cos 40 +F_a cos 70 --- (2)}\)
If:
\(F_B = F_E = 20 \ kN \\ \\ F_c = 16 \ kN \\ \\ F_D= 9\ kN\)
Then, from equation (1), we can have the following:
\(\mathbf{F_a sin 70 + 16 sin 40 + 9 sin40 + F_gsin 50 = (20 + 20 )kN}\)
collecting like terms;
\(\mathbf{F_a sin 70 + F_gsin 50 = 40 - 16 sin 40 - 9 sin40 }\)
\(\mathbf{F_a sin 70 + F_gsin 50 =23.93}\) --- (3)
From equation (2);
\(\mathbf{F_g cos 50 + 9cos 40 = 16 cos 40 + F_a cos 70}\)
collecting like terms:
\(\mathbf{F_g cos 50 -F_a cos 70 =16cos 40 -9cos 40}\)
\(\mathbf{-F_a cos 70 +F_g cos 50 =5.36 ----- (let \ this \ be \ equation (4))}\)
Suppose we equate (3) and (4) together using the elimination method;
\(\mathbf{F_a sin 70 + F_gsin 50 =23.93}\) --- (3)
\(\mathbf{-F_a cos 70 +F_g cos 50 =5.36 --- (4)}\)
Let's multiply (3) with ( cos 70 ) and (4) with (sin 70);
Then, we have:
\(\mathbf{F_a sin 70 cos 70 + F_gsin 50 cos 70 =23.93 cos 70}\)
\(\mathbf{-F_a cos 70 sin 70 +F_g cos 50 sin 70 =5.36 sin 70}\)
Adding both previous equations together, we have:
\(\mathbf{F_a sin 70 cos 70 + F_gsin 50 cos 70 =23.93 cos 70}\)
\(\mathbf{-F_a cos 70 sin 70 +F_g cos 50 sin 70 =5.36 sin 70}\)
\(\mathbf{(0 + F_g(sin 50 cos 70 + sin70 cos50) = 23.93 cos 70 + 5.36 sin 70)}\)
\(\mathbf{( F_g(0.262 + 0.604)) =(8.19 + 5.04)}\)
\(\mathbf{( F_g(0.866)) =(13.23)}\)
\(\mathbf{ F_g =\dfrac{(13.23)}{(0.866)}}\)
\(\mathbf{ F_g =15.28 \ N}\)
Replacing the value of \(\mathbf{F_g}\) into equation (3), to solve for \(\mathbf{F_a}\), we have:
\(\mathbf{F_a sin 70 + F_gsin 50 =23.93}\)
\(\mathbf{F_a sin 70 + 15.28sin 50 =23.93} \\ \\ \mathbf{F_a sin 70 +11.71 =23.93} \\ \\ \mathbf{F_a sin 70 =23.93-11.71 } \\ \\ \mathbf{F_a sin 70 =12.22 } \\ \\ \mathbf{F_a =\dfrac{12.22 }{sin 70}} \\ \\\)
\(\mathbf{F_a =13.01 \ N}\)
Therefore, we can conclude that the magnitudes of \(\mathbf{F_a}\) and \(\mathbf{F_g}\) are 13.0 N and 15.28 N respectively.
Learn more about vectors here:
https://brainly.com/question/13322477?referrer=searchResults
which of the following motor skills typically develops first?
Fine motor skills typically develop before gross motor skills, as they involve the coordination of small muscles for precise movements, while gross motor skills involve larger muscles for bigger movements.
Fine motor skills typically develop before gross motor skills. Fine motor skills involve the coordination of small muscles, such as those in the hands and fingers, to perform precise movements. These skills include tasks like grasping objects, picking up small items, and manipulating tools.
Gross motor skills, on the other hand, involve the coordination of larger muscles to perform larger movements, such as crawling, walking, and running. While the specific timeline of development may vary among individuals, it is generally observed that infants and young children start developing their fine motor skills before they fully develop their gross motor skills.
Learn more about motor skills here:
https://brainly.com/question/30329256
#SPJ11
Which gas is released in the SMAW process causing a
shielding affect on the molten weld pool?
•nitrogen
•carbon dioxide
•argon
•hydrogen
Which of the following is the best analogy for the relationship between an equipment operator and the signal person?
The signal person is like the eyes and the equipment operator is like the hands.
The signal person is like the heart and the equipment operator is like the brain.
The signal person is like the arms and the equipment operator is like the legs.
The signal person is like the head and the equipment operator is like the tail.
Answer:
The signal person is like the eyes and the equipment operator is like the hands.
Explanation:
What is the relationship between green building and self-interest? (Select all that apply.)
Green building is burdensome but has advantages in terms of public image.
Green building should be considered when necessary resources are in short supply.
Green building practices can lead to planning and budget efficiencies in general.
Green building is attractive because of its long-term growth potential as a market.
The relationship between green building and self-interest include the following:
Green building is burdensome but has advantages in terms of public imageGreen building is attractive because of its long-term growth potential as a market.What is Green building?This is the process of reducing the environmental impact of buildings. This therefore leads to enhancement of the health of people.
Its relationship with self interest can seen listed above as the most appropriate choice.
Read more about Green building here https://brainly.com/question/9779427
#SPJ1
A germanium diode carries a current of 1 mA at room temperature when a forward bias of 0.15v is applied. Estimate the reverse saturation current at room temperature.
Air enters a two-stage compressor operating at steady state at 520ºR, 14 lbffin 2 The overall pressure ratio across the stages is 12 and each stage operates isentropically. Intercooling occurs at constant pressure at the value that minimizes compressor work input as determined in Example 9.10, with air exiting the intercooler at 520°R. Assuming ideal gas behavior, with k = 1.4. Determine the work per unit mass of air flowing for the two-stage compressor, in Btu per lb of air flowing.
Answer:
106.335 Btu/Ib
Explanation:
Given data :
T1 = 520°R = 288.89K
P1 = 14 Ibf/in^2 = 96526.6 pa
r = 12
k = 1.4
R = 287 J/kg-k
Calculate work done per unit mass of air flowing ( two-stage compressor )
we will apply the equation below
W = 2k / K-1 * ( RT₁ ) * \([ r^{\frac{k-1}{2k} } - 1 ]\)
input values into equation above
W = 247.336 KJ/kg = 106.335 Btu/Ib
In addition to passing an ASE certification test, automotive technicians must have __________ year(s) of on the job training or __________ year(s) of on the job training and a two-year degree in automotive repair to qualify for certification.
A horizontal force P is applied to a 130 kN box resting on a 33 incline. The line of action of P passes through the center of gravity of the box. The box is 5m wide x 5m tall, and the coefficient of static friction between the box and the surface is u=0.15. Determine the smallest magnitude of the force P that will cause the box to slip or tip first. Specify what will happen first, slipping or tipping.
Answer:
SECTION LEARNING OBJECTIVES
By the end of this section, you will be able to do the following:
Distinguish between static friction and kinetic friction
Solve problems involving inclined planes
Section Key Terms
kinetic friction static friction
Static Friction and Kinetic Friction
Recall from the previous chapter that friction is a force that opposes motion, and is around us all the time. Friction allows us to move, which you have discovered if you have ever tried to walk on ice.
There are different types of friction—kinetic and static. Kinetic friction acts on an object in motion, while static friction acts on an object or system at rest. The maximum static friction is usually greater than the kinetic friction between the objects.
Imagine, for example, trying to slide a heavy crate across a concrete floor. You may push harder and harder on the crate and not move it at all. This means that the static friction responds to what you do—it increases to be equal to and in the opposite direction of your push. But if you finally push hard enough, the crate seems to slip suddenly and starts to move. Once in motion, it is easier to keep it in motion than it was to get it started because the kinetic friction force is less than the static friction force. If you were to add mass to the crate, (for example, by placing a box on top of it) you would need to push even harder to get it started and also to keep it moving. If, on the other hand, you oiled the concrete you would find it easier to get the crate started and keep it going.
Figure 5.33 shows how friction occurs at the interface between two objects. Magnifying these surfaces shows that they are rough on the microscopic level. So when you push to get an object moving (in this case, a crate), you must raise the object until it can skip along with just the tips of the surface hitting, break off the points, or do both. The harder the surfaces are pushed together (such as if another box is placed on the crate), the more force is needed to move them.
4. Employees are not responsible for thelr own safety whlle at work.
A) O True
B) O False
The statement "Employees are not responsible for their own safety while at work" is false because Employees most certainly are responsible.
What is Occupational safety?A multidisciplinary discipline dealing with the safety, health, and welfare of individuals at work is known as occupational safety and health, often known as occupational health and safety, occupational health, or occupational safety.
An environment that is safe and healthy for workers may minimize injury and sickness expenses, lower levels of absenteeism, boost output and quality, and improve employee morale. In other words, safety benefits the business.
Thus, the statement "Employees are not responsible for their own safety while at work" is false because Employees most certainly are responsible.
Learn more about Occupational safety here:
https://brainly.com/question/27577742
#SPJ2