Sketch the Magnitude and Phase Bode Plots of the following transfer function on semi-log papers. G(s) : (s + 0.5)² (s +500) s² (s +20) unis

Answers

Answer 1

To sketch the Bode plots for this transfer function, we analyze the magnitude and phase response of G(s) at various frequencies.

In the magnitude Bode plot, we plot the logarithm of the magnitude of G(s) in decibels (dB) against the logarithm of the frequency in rad/s on a semi-log paper. For low frequencies (s << 20), the transfer function can be simplified as G(s) ≈ 2.5 × 10⁶ / s³. This results in a slope of -3 in the magnitude Bode plot for frequencies below 20 rad/s. At 20 rad/s, the magnitude reaches its maximum value (0 dB) due to the presence of the (s + 20) term. For higher frequencies (s >> 20), the magnitude decreases at a slope of -6 due to the presence of two s² terms. At 500 rad/s, the magnitude reaches a local minimum due to the (s + 500) term. Afterward, it starts decreasing again at a slope of -6.5. In the phase Bode plot, we plot the phase angle of G(s) against the logarithm of the frequency.

The phase starts at -180 degrees for low frequencies (s << 0.5) due to the (s + 0.5)² term. At 0.5 rad/s, the phase crosses 0 degrees. For frequencies between 0.5 rad/s and 20 rad/s, the phase increases linearly from 0 to +180 degrees due to the presence of the (s + 20) term. At 20 rad/s, the phase jumps to +180 degrees. For higher frequencies (s >> 20), the phase increases linearly from +180 degrees to +360 degrees due to the presence of two s² terms. At 500 rad/s, the phase jumps to +540 degrees. Afterward, it increases linearly from +540 degrees to +720 degrees at a slope of +180 degrees per decade.

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Related Questions

If you make a mistake in polarity when measuring the value of DC voltage in a circuit with a digital VOM, what will happen? A. The meter will be damaged. B. The meter will read positive voltage only. C. The meter will display a negative sign. D. The meter will display OL which states an overload condition.

Answers

Answer:

C. The meter will display a negative sign.

Explanation:

If you use an analog voltmeter and you measure voltage with reverse polarity you will damage it. But in this case we are using a digital multimeter. This kind of multimeter is designed to be able to deal with positive and negative voltages

Explain by Research how a basic generator works ? using diagram

Answers

Correcto no se muy bien de que se trata el tema porque está en inglés.
Sorry

______framing is a method in which the basic frame work of a building consists of vertical posts and horizontal or sloping beams.

Answers

Post and beam framing is a method in which horizontal or sloping beams and vertical posts form the building's fundamental frame.

What does it mean to frame a building?

• Framing is the process of connecting materials used in construction. erect a framework. A system for construction is framing. The terms "studs," "plates," "headers," "rafters," "girders," "flooring," and "joists" are all used to describe various components that make up "framing."

Which three fundamental types of framing are utilized in structures?

There are basically three types of modern wood framing: framing with a balloon, platform, and semi-balloon. Vertical load-bearing framing studs run continuously from the foundation to the roof with long lumber lengths.

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a. Determine the value of c b. What proportion of actual tracking weights exceeds the target weight? c. What proportion of actual tracking weights are within .25 g of the target weight?

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a. The value of "c" is not specified in your question. Please provide more information or context to determine the value of "c."

To determine the proportion of actual tracking weights that exceed the target weight, you need to compare the actual weights with the target weight and calculate the ratio of weights that are higher than the target.To determine the proportion of actual tracking weights within 0.25 g of the target weight, you need to compare the actual weights with the target weight and calculate the ratio of weights that fall within the range of ±0.25 g from the target weight.

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Can anyone tell me what rock this is?

Can anyone tell me what rock this is?

Answers

Answer: answer is B

Explanation:

Answer: metamorphic rock

Explanation:

the rectangular form of the complex number 12 (16∠−50∘)(5 j12) is j .

Answers

To find the rectangular form of the complex number, we first need to convert the polar form (16∠−50∘)(5 j12) into rectangular form using Euler's formula:

(16∠−50∘)(5 j12) = 16e^(-50°i) * 5j12
= 16(cos(-50°) - i sin(-50°)) * 5j12
= 16(0.643 - 0.766i) * 5j12
= 128.6 - 153.2i

Now we need to multiply this result by 12 to get the final answer:

12(128.6 - 153.2i) = 1543.2 - 1838.4i

Therefore, the rectangular form of the complex number 12 (16∠−50∘)(5 j12) is 1543.2 - 1838.4i, and there is no j in the answer.
To find the rectangular form of the complex number 12(16∠−50∘)(5j12), we first need to convert the polar form (16∠−50∘) into rectangular form, and then multiply it with the rectangular form (5j12).

Step 1: Convert polar form to rectangular form
(16∠−50∘) = 16 * (cos(-50°) + j * sin(-50°))
≈ 16 * (0.6428 + j * (-0.7660))
≈ 10.2848 - 12.256j

Step 2: Multiply the rectangular forms
(10.2848 - 12.256j)(5j12)
= 10.2848(5j12) - 12.256j(5j12)
= 51.424(12 + j5) - 12.256j(60 - j5j12)
= (51.424 * 12) + (51.424 * j5) - (12.256j * 60) + (12.256j * 5j12)
= 617.088 + 257.12j - 735.36j + 61.28j^2
Since j^2 = -1,
= 617.088 + 257.12j - 735.36j - 61.28
= 555.808 - 478.24j

So, the rectangular form of the complex number 12(16∠−50∘)(5j12) is approximately 555.808 - 478.24j.

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Use the HELPrct data from the mosaicData to calculate the mean of all numeric variables (be sure to exclude missing values)

Answers

To calculate the mean of all numeric variables in the HELPrct data from the mosaicData package, we can use the colMeans() function in R. This function calculates the mean of each column in a data frame.

However, it only works on numeric columns, so we need to first remove any non-numeric columns or missing values.
To do this, we can use the select_if() function from the dplyr package to only select columns that are numeric. Then, we can use the na.omit() function to remove any rows with missing values. Finally, we can use the colMeans() function to calculate the mean of each column.
Here's the code:
library(mosaicData)
library(dplyr)
# Select only numeric columns
numeric_cols <- select_if(HELPrct, is.numeric)
# Remove rows with missing values
numeric_cols <- na.omit(numeric_cols)
# Calculate column means
means <- colMeans(numeric_cols)
# Print the result
print(means)
This will give us the mean of each numeric column in the HELPrct data, excluding any missing values.

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kinematics
link 2 is 1 rad/s constant
Find (1)coordinate (2)speed vector (3)acceleration vector at point p

Answers

For a kinematics link with a constant angular velocity of 1 rad/s, the coordinate of the link can be determined using the equation θ = ωt, where θ represents the angular displacement and t is the time.

The speed vector can be found by taking the derivative of the coordinate equation with respect to time. Similarly, the acceleration vector can be obtained by taking the derivative of the speed vector equation.

In this scenario, we have a kinematics link with a constant angular velocity of 1 rad/s. The coordinate of the link can be determined using the equation θ = ωt, where θ represents the angular displacement and t is the time. Since the angular velocity is constant, the coordinate of the link increases linearly with time. If we know the initial position of the link, we can calculate the coordinate at any given time.

To find the speed vector, we need to take the derivative of the coordinate equation with respect to time. Since the angular velocity is constant, the derivative of θ with respect to t is simply ω. Therefore, the speed vector of the link is constant and its magnitude is equal to the angular velocity, which in this case is 1 rad/s.

To determine the acceleration vector at a specific point, let's say point P, we need to take the derivative of the speed vector equation. Since the angular velocity is constant, the derivative of the speed vector is zero. Thus, the acceleration vector at point P is zero. This means that the link is moving at a constant speed and there is no change in its velocity at point P.

In summary, for a kinematics link with a constant angular velocity of 1 rad/s, the coordinate increases linearly with time according to θ = ωt. The speed vector is constant and equal to the angular velocity, while the acceleration vector is zero at any point on the link.

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Can someone please help me the answer is supposed to be A but I don’t know why

Can someone please help me the answer is supposed to be A but I dont know why

Answers

We can see here that the element in the circuit that is possibly a resistor is Element B.

What is a resistor?

A resistor actually known to be a electrical component or device that has two terminals through which current enters and leaves. A resistor is known to limit or regulate the flow of electrical current in an electronic circuit. Resistors are known to be used in order to also provide a kind of specific voltage for a device that is active like a transistor.

Resistors are used in electrical and electronics in order to control the flow of current, reduce current, divide voltages, adjust the level of signals and terminate transmission lines. It is used for other purposes in the electronics field.

We see here that element B selected above is a resistor. The arrow on the head is pointing downward which indicates that current is entering.

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With these systems, input and output devices are located outside the system unit

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The computer system unit consists of central processing units (CPU), memory, and other crucial circuitry. With these systems, input and output devices are located outside the system unit. The system unit is a computer's central component, where all essential processes take place.

The computer's primary purpose is to provide the user with computing solutions. Therefore, it needs both input and output devices. Input devices are used to interact with the computer, while output devices are used to view the results of that interaction. A keyboard, mouse, joystick, and scanner are examples of input devices. However, monitors, speakers, and printers are output devices.Input devices are used to interact with the computer, and they send data into the system unit. The input devices send data to the computer, which processes it and then sends the result to the output devices for interpretation by the user. The user can interact with the output devices, which are located outside the system unit and then feed the computer with more data. Furthermore, output devices are responsible for displaying the output of the computer's internal processes. The computer system unit provides a platform for computing processes, and the input/output devices serve to make the computer user-friendly by providing a means of interaction with the system unit. In conclusion, with these systems, input and output devices are located outside the system unit, where they play a crucial role in making the computer system interactive, user-friendly, and productive.

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all elements in a python list must have the same data type. true or false

Answers

Answer:

False

Explanation:

When framing a wall, temporary bracing is
used to support, plumb, and straighten the wall.
used to support, level, and straighten the wall.
used to square the wall before it is erected.
removed before the next level is constructed.

Answers

Yes! That is true!
When framing a wall, temporary bracing is
used to support, plumb, and straighten the wall.
used to support, level, and straighten the wall.
used to square the wall before it is erected.
removed before the next level is constructed.

The city of Heckleburg increases in population by an average of P people each month. Which expression correctly gives the number of months it will take for the population to increase by 1,000 people? o O 1000 people P peoplelmo. = 10pºmo. O (P people/mo.) X (1000 people) = (P x 1000) mo. u P peoplelmo. 1000 people - 1000 O None of these is correct, because there's not enough information given.

Answers

The expression that correctly gives the number of months it will take for the population of Heckleburg to increase by 1,000 people is (P people/mo.) X (1000 people) = (P x 1000) mo.

To find the number of months it will take for the population to increase by 1,000 people, we need to consider the rate of population growth, which is given as P people per month. Multiplying this rate by the number of people we want to increase, 1,000 people, gives us the expression (P people/mo.) X (1000 people). This expression represents the number of people that will be added to the population in a certain number of months.

The units cancel out, leaving us with the expression (P x 1000) mo., which represents the number of months it will take for the population to increase by 1,000 people based on the given growth rate.

It's important to note that the other options provided do not accurately represent the calculation needed to determine the number of months for a population increase of 1,000 people. They either do not consider the growth rate or incorrectly manipulate the given information.

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In 2009 an explosive eruption covered the island of Hunga Ha'apai in black volcanic ash. What type of succession is this?

Answers

Answer:

The type of succession is:

Primary succession

Explanation:

This is a type of succession that occurs after a volcanic eruption or earthquake; it involves the breakdown of rocks by lichens to create new, nutrient rich soils.

Primary succession is one of the two types of succession we have. It begins on rock formations, such as volcanoes or mountains, or in a place with no organisms or soil.

All of the following are advantages of using a pressure transducer rather than a vacuum gauge EXCEPT:

Answers

Question:

All of the following are advantages of using a pressure transducer rather than a vacuum gauge EXCEPT:

A. greater accuracy.  

B. easier identification of the cylinder.

C. measuring higher pressures.

D. ability to see the levels graphically

Answer:

The correct answer is D) ability to see the levels graphically

Explanation:

The above question derives from the Rudiments of Automotive Technology.

The function of the pressure transducer is to enable the diagnostic who is testing the engine vacuum to detect the cylinder with a faulty vacuum.

The pressure transducer does allow its user to see the vacuum graphically NOT  the levels.

Cheers.

You are getting ready to transport troops in an M1152 configured with cargo cover and troops seats. Which of the following should you do before starting out?

Answers

Answer:

I believe it would be to lower the troop seats.

Explanation:

in the remote access domain, if private data or confidential data is compromised remotely, you should set automatic blocking for attempted logon retries.T/F

Answers

False. According to the question in the remote access domain, if private data or confidential data is compromised remotely, you should set automatic blocking for attempted logon retries.

Describe domain.

The term "domain," which is specific here to internet, can apply to both the structure of the internet and the organization of a company's network resources. A domain is typically a sphere of learning or a governing region.

Who owns domain names?

Whoever first filed the website address with a recognized registrar, such Domain.com, owns the domain name. That person must pay service charges and keep all of personal contact information current in order to preserve ownership.

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The figure below appeared three heat treatments processes of steel (A, B and C),

select only One and answer the following:

1- Named the heat treatment process.

2- The temperature range of heating process.

3- The cooling process method.

4- The aims of process.​

Answers

Answer:

b

Explanation:

A hole is to be drilled in the plate A. The diameters of the bits available to drill the hole range from 1/8 in. to 3/8 in. in 1/16-in. increments. If the allowable stress in the plate is 5.25 ksi, determine the diameter d of the largest bit that can be used if the allowable load P at the hole is to exceed that at the fillets. The largest bit that can be used is the A. 1/8-in. bitB. 3/16-in. bit. C. 1/4-in. bit D. 5/16-in. bit. E. 3/8-in. bit.

Answers

With very little effort, power tools allow you to quickly and accurately cut, drill, hammer, and perform a variety of other operations.

The drill is likely the power tool that is used by homeowners, do-it-yourselfers, woodworkers, car mechanics, construction workers, and electrical workshops the most. You will require a range of Drill Bits for the task depending on the kind of materials you operate with. Together with the proper Drill Bit Type, the right Drill Bit Size is also necessary. The ability to choose the correct drill bit or a close substitute depends on your understanding of drill bit sizes. Hence, let's use the drill bit size chart in this guide to learn about the various drill sizes.

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The steel-frame structural support was a main feature in the development of __________. Group of answer choices

Answers

The steel-frame structural support was a main feature in the development of t the floors, roof, walls and  skyscraper.

What structure is aided by a metal frame?

Steel frame is known to be a form of a building method that is used along with a skeleton frame that is made up of steel columns and  I-beams.

Conclusively, This is often used  in the construction of grid to aid the floors, roof and walls of any kind of building. It is also used in the construction of skyscraper.

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Why can’t we find all errors before we give the software to our customers?

Answers

Explanation:

what is protozoa define it with diagram srt-nhev-mvp

i m n * de

What is the maximum number of points a player can score during a frame of snooker while curving around at a 45 degree angle going at a speed of 2 miles per hour with the wind speed of 2 mph on a rug coated snooker table?

Answers

In snooker, the maximum number of points that can be scored during a single frame is 147. This is achieved by potting all 15 red balls, each worth 1 point, and subsequently potting the colored balls in sequence: yellow (2 points), green (3 points), brown (4 points), blue (5 points), pink (6 points), and black (7 points). Each color is then returned to its original position and can be potted again for additional points.

The angle and wind speed mentioned in your question are not relevant to determining the maximum number of points in a snooker frame. The speed and direction of the balls are controlled by the player's shots, and the rug coating on the table doesn't affect the scoring.

So, regardless of the angle, wind speed, or table surface, the maximum number of points that can be scored in a frame of snooker is 147.

Raul doesn’t feel like he needs to write down events that will happen months from now. Explain to him why it is important to use the different types of calendars.

Answers

Answer: Calendars are important so that; Students know what’s coming up. Adequate time is planned for important events and studying different levels of detail are accounted for students may be organized and prepared for anything.

Explanation:

The reason why it is important for Raul to use the different types of calendars is; So that he can know what is coming up

Calendars are documents that contain dates of all days in a year as classified by that specific calendar.

The most common calendar system types in the world today are Gregorian, Islamic and Chinese. Now, regardless of the type of calendar being used, the one common factor with all of them is that they assist everyone including students to know the events that are coming up.

In conclusion the reason why it is important for Raul to use the different types of calendars is So that he can know what is coming up

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Steam enters and leaves a horizontal 1D pipe steadily at a constant speed with the specific enthalpy to be 4000 kJ/kg and 1500 kJ/kg respectively. Assuming a mass flow rate of 0.5 kg/sec and If there is no significant change in potential energy from inlet to exist, determine the rate of heat transfer between the pipe and its surroundings.

Answers

Answer:

The rate of heat transfer between pipe and its surrounding is found to be 1250 KW

Explanation:

Assuming no significant change in potential energy. When we apply the first law of thermodynamics to the given system of 1-D pipe, we get the following expression:

Q = m(h₁ - h₂)

where,

Q = Heat Transfer between pipe and surrounding = ?

m = mass flow rate of steam = 0.5 kg/sec

h₁ = Specific Enthalpy of steam at entrance = 4000 KJ/kg

h₂ = Specific Enthalpy of steam at exit = 1500 KJ/kg

Therefore, using these values in the equation, we get the value of heat transfer:

Q = (0.5 kg/sec)(4000 KJ/kg - 1500 KJ/kg)

Q = 1250 KW

Care should be taken when purchasing yarn because, some products may appear jet black in the store but actually show a blue or green tint in natural light. True or False?

Answers

It is TRUE to state that care should be taken when purchasing yarn because, some products may appear jet black in the store but actually show a blue or green tint in natural light.

How is this so?

Care should be taken   when purchasing yarn because some products may appear jet black under artificial store lighting but display a different color tint, such as blue or green,in natural light.

The lighting conditions in the store can impact how colors appear, and it's important toconsider natural light conditions to accurately assess the true color of the yarn before making a  purchase.

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An insulated, vertical piston–cylinder device initially contains 10 kg of water, 6 kg of which is in the vapor phase. The mass of the piston is such that it maintains a constant pressure of 200 kPa inside the cylinder. Now steam at 0.5 MPa and 350°C is allowed to enter the cylinder from a supply line until all the liquid in the cylinder has vaporized. Determine (a) the final temperature in the cylinder and (b) the mass of the steam that has entered.

Answers

Answer:

See explaination

Explanation:

Please kindly check attachment for the step by step solution of the given problem.

An insulated, vertical pistoncylinder device initially contains 10 kg of water, 6 kg of which is in the

A regulator is required on a nitrogen cylinder to

Answers

A regulator is required on a nitrogen cylinder in order to reduce very high pressure within the gas cylinder to a safer pressure.

What is a regulator?

A regulator can be defined as a mechanical device that is designed and developed to ensure that a controlled amount of nitrogen gas is supplied from a gas cylinder.

This ultimately implies that, a regulator is required on a nitrogen cylinder in order to reduce very high pressure within the gas cylinder to a safer pressure.

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A 30 kHz clock pulse is applied to a MOD 15 counter, What is the output frequency?

A. 1. 55 kHz

B. 1. 88 kHz

C. 2. 0 kHz

D. 2. 5 kHz

Answers

The output frequency of a MOD 15 counter with a 30 kHz clock is 2 kHz. (Option C).

How to Calculate the Output Frequency?

A MOD 15 counter will cycle through 15 different states before returning to its initial state. A counter's output frequency equals the clock frequency divided by the number of states. As a result, the output frequency of a MOD 15 counter with a 30 kHz clock is as follows:

Clock frequency / number of states equals output frequency

= 30 kHz  / 15

output frequency= 2 kHz

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Technician A says ABS systems provide superior directional stability when the brakes are applied while turning a corner. Technician B says ABS systems provide superior braking when driving on loose snow. Who is correct

Answers

Both technicians A and B are partially correct, because it's important to note that ABS is not a foolproof solution in all driving situations and should not be relied upon as a substitute for proper driving techniques and caution.Technician A is partially correct in that ABS (Anti-lock Braking System) can improve directional stability. Technician B is also partially correct in that ABS can improve braking performance on loose snow.

Both technicians are partially correct, but neither is entirely accurate.

Technician A is partially correct in that ABS (Anti-lock Braking System) can improve directional stability when the brakes are applied while turning a corner, especially on slippery or uneven road surfaces. The system can prevent the wheels from locking up and skidding, which can cause the vehicle to lose control. However, it's important to note that ABS does not necessarily guarantee superior directional stability in all situations, and the driver should still exercise caution and proper driving techniques when turning.

Technician B is also partially correct in that ABS can improve braking performance on loose snow, as the system can help prevent the wheels from locking up and losing traction. However, other factors such as tire type and condition, road gradient, and vehicle weight distribution can also impact braking performance on loose snow.

Therefore, both technicians are partially correct, but it's important to note that ABS is not a foolproof solution in all driving situations and should not be relied upon as a substitute for proper driving techniques and caution.

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Timken rates its bearings for 3000 hours at 500 rev/min. Determine the catalog rating for a ball bearing running for 10000 hours at 1800 rev/min with a load of 2.75 kN with a reliability of 90 percent.

Answers

Answer:

C₁₀ = 6.3 KN

Explanation:

The catalog rating of a bearing can be found by using the following formula:

C₁₀ = F [Ln/L₀n₀]^1/3

where,

C₁₀ = Catalog Rating = ?

F = Design Load = 2.75 KN

L = Design Life = 1800 rev/min

n = No. of Hours Desired = 10000 h

L₀ = Rating Life = 500 rev/min

n₀ = No. of Hours Rated = 3000 h

Therefore,

C₁₀ = [2.75 KN][(1800 rev/min)(10000 h)/(500 rev/min)(3000 h)]^1/3

C₁₀ = (2.75 KN)(2.289)

C₁₀ = 6.3 KN

Other Questions
Please help! Correct answer only please! I need to finish this assignment by today.City Donuts recently sold 12 donuts, of which 6 were maple donuts. What is the experimental probability that the next donut sold will be a maple donut?Simplify your answer and write it as a fraction or whole number.P(maple donut) = compared with randomly paired people, friends are more likely to share the same attitudes and beliefs. this best illustrates the association between ________ and attraction. during the carter administration, the united states refused to turn over control of the panama canal to the government of panama. when the ___ on a bond rises, the effective interest rate ____. this is because the face value ____ , no matter what the bond sells for Marketing Plan.For this assignment, you will create a Marketing Plan for a Community Health Center that you will be able to choose (Any Health Care Facility). The Marketing Plan is designed to Identify customers needs, Evaluate whether the organization can meet those needs in some way that allows for profitable exchanges with customers to occur, and Develop a mission statement, strategy, and organization centered on those needs. Create offerings that are the result of meticulous market research. Form operations and supply chains that advance the successful delivery of those offerings. Pursue advertising, promotional, and public relations campaigns that lead to continued successful exchanges between the company and its customers. Engage in meaningful communications with customers on a regular basis. You are encouraged to choose (Any Health Care Facility: Hospital, Doctor's Office, Emergency Care Center, etc.) $2000 should be invested into checking with interest rate 3% and savings account with interest rate 5% so that the total interest will be $84. How much should be invested into each account? Coagulation studies may require:1) Being warmed upon collection2) Being chilled upon collection3) Protection from light4) A discard tube write either TRUE or FALSE.(a) In the equation f (x) = mx+b, the variable b represents the slope.(b) The graph of a linear function is always a straight line.(c) The domain of the function y = 3 x is the set of all real numbers lessthan or equal to 3.(d) The operation of function composition is commutative. That is, for allfunctions f and g, it is true that f g = g f . a nurse is preparing for a class discussion on sexually transmitted infections (stis) to be given at a local high school. which would the nurse include as a discussion priority? (12 - 2) x (5 + 4)THIS IS PEMDAS FOREVER PLEASSSEEEE HELP ME IM GIVING BRAINLIEST Image of problem attached True/Falsehospitality and tourism organizations usually choose a management contract because it is a good opportunity to generate more revenue without having to acquire additional knowledge at great expense. Show me something. Anything big or small. ,,,,Etc. Whoever answers first is luck. You know since they get the 50 points I'm giving out. I have way too many. An accounting information system is said to have good control characteristics, if it ________. A_____Forecast that predicts revenues, costs, and expenses for period longer than 1 year, and sometimes as far as 5 or 10 years into the future need help due asap. Your firm is considering a project which will cost $25 million after-tax today and is expected to generate after-tax cash flows of $10 million per year at the end of the next 4 years. If the company waits for 2 years, the project will cost $27 million after-tax and there is a 90% chance that the project will generate $12 million per year for four years and a 10% chance that the project will generate $6 million per year for 4 years. Assume all cash flows are discounted at 11%. Estimate the value of the timing option. Which sentence describes a benefit that short-term disability insurance offers a policyholder? A. It provides 30% to 40% of the policyholders income for up to one year. B. It provides 10% to 25% of the policyholders income for up to two years. C. It provides 50% of the policyholders income for up to one year. D. It provides 40% to 60% of the policyholders income for up to one year. A ________ committee remains in existence from one session of Congress to the next, and has the power to write legislation that covers a particular subject, in most cases paralleling a major department or agency of the executive branch. Evaluate the below integral: a) x x+1 dx (Hint: Using integration by substitution)b) lnx/x dx (Hint: Using integration by parts)