A 12-stage photomultiplier tube (PMT) has 12 dynodes equally spaced by 5 mm and subjected to the same potential difference. Under a working voltage of Vo, the response time of the photodetector is 18 ns and the dark current is 1.0 nA. The external quantum efficiency EQE of the photocathode in the PMT is 92% and the secondary emission ratio 8 of the dynodes follows the expression 8 = AV", where A = 0.5 and E=0.6. (a) Describe the working principle of the PMT. (4 marks) (b) Give the relationship between the working voltage Vo and the response time of the PMT and determine the value of Vo. (4 marks) (c) Calculate the gain of the PMT. (4 marks) (d) Explain whether the PMT can detect single photon per second. (3 marks)

Answers

Answer 1

(a) Working principle of PMT: Photomultiplier tubes are utilized to identify and calculate light in very low levels. The working of a PMT is based on the photoelectric effect. The photoelectric effect is when electrons are emitted from matter when light falls on it.

(a) Working principle of PMT: Photomultiplier tubes are utilized to identify and calculate light in very low levels. The working of a PMT is based on the photoelectric effect. The photoelectric effect is when electrons are emitted from matter when light falls on it.

A photomultiplier tube is a device that utilizes light and turns it into an electric signal. It consists of a photocathode, a series of dynodes, and an anode.

The photoelectric effect takes place on the photocathode. When photons hit the photocathode, electrons are emitted. The emitted electrons are amplified by hitting the next dynode, creating more electrons. Each subsequent dynode produces more electrons.

The amplified signal is collected at the anode. In PMT, the external quantum efficiency EQE of the photocathode is 92% and the secondary emission ratio 8 of the dynodes follows the expression 8 = AV", where A = 0.5 and E=0.6.

(b) Relationship between the working voltage Vo and the response time of the PMT and determine the value of Vo: Response time of PMT depends on the number of stages (n) and transit time (td).The response time of the photodetector is given by:

td = 0.28n5/2 L / (Vo - Vd)

Where, Vd is the breakdown voltage and L is the distance between two adjacent dynodes

In this case, there are 12 dynodes equally spaced by 5 mm. Hence, L = 5 x 12 = 60 mm = 0.06 m.

The response time of the photodetector is given to be 18 ns= 18 × 10^-9 s.

Let's find the value of Vo from this equation:

V_o = (0.28n5/2L / td) + Vd

For this PMT,

n = 12L = 0.06 m

Vd = 1000 V (assumed)

V_o = (0.28 × 125 × 0.06 / (18 × 10^-9)) + 1000 = 1982.67 V≈ 1983 V

(c) Gain of PMT: The gain of PMT is given as:

G = 8^n x 0.92where, n is the number of stages

Here, n = 12Hence, G = 8^12 × 0.92= 2.18 × 10^8

(d) PMT can detect single photon per second: A PMT can detect single photons because it is an ultra-sensitive detector. However, the detection of single photons is dependent on the dark current of the PMT. In this case, the dark current is given to be 1.0 nA, which is higher than a single photon per second.

Thus, it cannot detect single photons per second.

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Related Questions

Air enters a compressor operating at steady state at 1 bar, 290 K, with a mass flow rate of 0.1 kg/s and exits at 980 K, 10 bar. The velocities at the inlet and exit are 10 m/s and 30 m/s, respectively. The air can be modeled as an ideal gas, and potential energy effects can be neglected. If the magnitude of the power input to the compressor is 77 kW, determine the rate of heat transfer, in kW.

Answers

Answer:

7.615 kW

Explanation:

Solution in pen paper form in the attachment section

Air enters a compressor operating at steady state at 1 bar, 290 K, with a mass flow rate of 0.1 kg/s

a homeowner consumes 700 kwh of energy in march. determine the average cost per kwh for the month using the following residential rate schedule: base monthly charge of $10.00. first 100 kwh per month at 16 cents/kwh. next 200 kwh per month at 10 cents/kwh. over 300 kwh per month at 6 cents/kwh.

Answers

Answer:

10 cents/kwh

Explanation:

Base monthly charge = $10.00

First 100 kwh at $0.16/kwh = $16.00

Next 200 kwh at $0.10/kwh = $20.00

Remaining 400 kwh at $0.06/kwh = $24.00

Total charge = $10 + $16 + $20 + $24 /(100+200+400)

Average cost = $70/700 or 10 cents/kwh

A___ remote control can be an advantage to an
operator who is welding close to the power source.

•wireless
•corded
•cable technology
•none of these

Answers

Answer:

Wireless

Explanation:

A wireless remote control can be an advantage to an operator who is welding close to the power source. Hence, option A is correct.

What is wireless remote control?

An electrical device used to wirelessly and remotely operate another device is a remote control, often known as a remote or clicker. Consumer gadgets, such as television sets, DVD players, and other home appliances, can be controlled by a remote control.

In the current electronic market, remote control systems fall into three primary categories: IR-based systems, RD-based systems, and BT-based systems. the receiver and the remote must be lined up exactly for infrared, also known as IR.

IR, on the other hand, is unable to pass through a number of materials but can operate over a much wider spectrum. This allows the user far greater freedom and control in environments with challenging terrain and obstacles.

Thus, option A is correct.

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The component has an exponentially distributed reliability with a mean of 2000 hours what is the probability that it will fail after 3000 hours?

Answers

Answer:

ABCDEFGHIJKLMNOPQRSTUVWXYZ

A company wants to develop audio speakers using an inexpensive type of plastic that has a very high quality of sound output. Which customers would most likely give a high evaluation of this product?

Answers

Answer:A

Explanation:

Those who want to save money and will use the product for only a few years

Answer:

THE ANSWER is A - those who want to save money and will use the product for only a few years

Explanation: Got it right on edg 2021

A 735 kV transmission line, 745 miles long, transmits a power of 800 MW. a. Is there an appreciable voltage difference between the two ends of the line, measured line to neutral? b. Is there an appreciable phase angle between corresponding line-to-neutral voltages?

Answers

a. Yes, there is an appreciable voltage difference between the two ends of the 735 kV transmission line. Voltage drop across the line depends on the line's resistance, reactance, and transmitted power.

How would the voltage drop happen?

For a 745-mile-long line transmitting 800 MW, the voltage drop will be significant due to resistive and reactive losses.

b. Yes, there is an appreciable phase angle between corresponding line-to-neutral voltages.

This phase shift is caused by the line's inductance and capacitance, which lead to a lag or lead in voltage across the transmission line. The longer the line, the more significant the phase angle difference.

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the most notable aspect in managing C/N for downlink designs is

Answers

Answer:

Explanation:

In satellite communications, downlink is the establishment of a communications link from an orbiting satellite down to one or more ground stations on Earth. Contrast with uplink.

what two different dimm technologies below can be used in a quad channel configuration? (select two.)

Answers

The correct answer is DDR4 -DDR3 two different dimm technologies below can be used in a quad channel configuration.

A DIMM is a module that has one or more RAM chips mounted on a tiny circuit board with connections that link it to the motherboard of the computer. Each data bit is kept in a distinct memory cell by the DIMM. Since personal computer processors have a 64-bit data width, DIMMs employ a 64-bit data route. Physically, PCIe slots can be configured as x1, x4, x8, or x16. The vast majority of GPUs require PCIe x16 to function at their peak performance, making it the most often used configuration. A PCIe slot has two parts: mechanical (cards) and electrical (lanes).

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Answer: DDR3 & DDR4

Explanation:

A gas turbine power station operates on the simple Brighton cycle using air as an operating barrier. Air enters the turbine at 1MPa and 1000K and exits from it at 125kPa and 600K, and heat is expelled to the surrounding environment at a time rate of 7922kJ/s. Air flows through the cycle at a time rate of 2.5kg/s. Assuming that the compressor is the isotropy find the net power produced by the station.​

Answers

To determine the net power produced by the gas turbine power station, we need to calculate the work done by the turbine and the work done by the compressor. The net power produced is the difference between these two values.

The simple Brighton cycle consists of four processes:

Isentropic compression in the compressor.

Constant pressure heat addition in the combustion chamber.

Isentropic expansion in the turbine.

Constant pressure heat rejection to the surrounding environment.

Given data:

Inlet conditions:

Pressure at turbine inlet (P1) = 1 MPa

Temperature at turbine inlet (T1) = 1000 K

Exit conditions:

Pressure at turbine exit (P2) = 125 kPa

Temperature at turbine exit (T2) = 600 K

Heat expelled to the surrounding environment (Q_out) = 7922 kJ/s

Mass flow rate of air (m_dot) = 2.5 kg/s

First, let's calculate the specific enthalpy at state 1 (h1) using the air properties at the given temperature and pressure. You can refer to the air tables for this purpose.

Next, we need to calculate the specific enthalpy at state 2 (h2). We can use the temperature and pressure at state 2 and the air properties tables to determine h2.

Now, we can calculate the work done by the turbine (W_turbine) using the equation:

W_turbine = m_dot * (h1 - h2)

Since the compressor is assumed to be an isentropic process, the work done by the compressor (W_compressor) can be determined using the isentropic efficiency of the compressor (η_compressor) and the enthalpy difference between states 1 and 2:

W_compressor = (h2s - h1) / η_compressor

Where h2s is the specific enthalpy at state 2s, which can be determined using the temperature and pressure at state 2 and the air properties tables.

Finally, the net power produced (P_net) is given by:

P_net = W_turbine - W_compressor

Calculate the values using the above steps, and you will find the net power produced by the gas turbine power station.

the fire investigator uses knowledge filters to evaluate and analyze

Answers

As a fire investigator, it is essential to have a strong understanding of the fire investigation process and be able to evaluate and analyze data effectively. One critical tool used in this process is knowledge filters. Knowledge filters are used to sort through and evaluate the information gathered during the investigation.

These filters can include things like experience, education, and training, and they help to identify critical pieces of information needed to determine the cause and origin of the fire.

When evaluating the information collected, it is essential to use knowledge filters to determine which pieces of data are relevant to the investigation. For example, an investigator may filter through witness statements to identify any inconsistencies or information that does not align with physical evidence. This process helps to identify the key facts of the investigation and eliminate any irrelevant data.

Overall, knowledge filters are an essential tool for fire investigators. They help to ensure that the investigation is thorough, accurate, and ultimately, lead to an accurate determination of the cause and origin of the fire.

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A process fluid having a specific heat of 3500 J/kg-K and flowing at 2 kg/s is to be cooled from 80 C to 50 C with chilled water, which is supplied at a temperature of 15 C and a flow rate of 2.5 kg/s. Assuming an overall heat transfer coefficient of 2000 W/m2-K, calculate the required heat transfer areas for the following exchanger configurations: (a) parallel flow (15 pts), and (b) counterflow (15 pts).

Answers

Answer:

to claim your answer $2 Approach www.gotit-pro.com

Explanation:

4 Select the correct answer. A brand selling home appliances conducts a customer survey. The following table indicates the results of the survey. What percent of people are satisfied with the company and are likely to be loyal to the brand? OA 9% B. 12% О с. 14% OD. 45% О Е. 60%​

Answers

E- would be your correct answer
It is the answer E like the person said above!

Help meeeeeeeee plzzzzz need explanation

Help meeeeeeeee plzzzzz need explanation

Answers

the picture is blank for me what does it say i can comment the answer plz mark brainlyist

Write a class having two private variables and one-member function which will return the area of the rectangle.

Answers

Using the knowledge in computational language in C++ it is possible to write the code being write a class having two private variables

Writting the code in C++:

#include <iostream>

using namespace std;

class Rectangle { /*create a class named Rectangle*/

  private:

  float l,b; /*this class has two private variables l and b*/

  public:

  float getArea(float l, float b) /*this class has one member-function getArea which returns the area of the rectangle*/

  {

   return l*b; /*return the area of the rectangle*/

  }

};

int main () { /*the main function to check the working of our Rectangle class*/

 float l,b;

 Rectangle r1; /*create an object r1 of Rectangle class*/

 cout<<"Enter the length of the rectangle: ";

 cin>>l; /*input the length of the rectangle from the user*/

 cout<<"Enter the breadth of the rectangle: ";

 cin>>b; /*input the breadth of the rectangle from the user*/

 cout <<"Area of the rectangle is: "<< r1.getArea(l,b)<<" square units."; /*find the area of the rectangle using the member function of the class*/

 return 0;

}

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Write a class having two private variables and one-member function which will return the area of the

This might count as engineering, I'm not sure as this is IT



An ordered collection of data elements stored and accessed in a program is called what?
Group of answer choices

Variables

List

Locale

Parameters

Answers

Answer:

10.5

Explanation:

Convert to an equation for example P%* X=Y

P is 7.5% X is 140, so the equation Is 7.5 percent * 14= Y

convert 7.5% Into a decimal by removing the percent sign and deviding by 7.5/100= 0.075

Substitute 0.075 for 7.5% in the equation: 7.5%*140=Y becomes 0.075*140= 10.5

All aspects of the Kirby-Bauer test are standardized to assure reliability. What might be the consequence of pouring the plates 2mm deep instead of 4mm deep

Answers

Answer:

it would affect the distance the antiantibodies diffuse from the disk

Explanation:

Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years

Answers

Top 10 Emerging Technologies in Chemistry
Nanopesticides. The world population keeps growing. ...
Enantio selective organocatalysis. ...
Solid-state batteries. ...
Flow Chemistry. ...
Porous material for Water Harvesting. ...
Directed evolution of selective enzymes. ...
From plastics to monomers. ...

If the two 304-stainless-steel carriage bolts of the clamp each have a diameter of 10 mmmm, and they hold the cylinder snug with negligible force against the rigid jaws, determine the temperature at which the average normal stress in either the magnesium or the steel first becomes 12.0 MPaMPa .

Answers

Answer: hello some data related to your question is missing attached below is the missing data

answer:

T2 = 265°C

Explanation:

First step : calculate sum of vertical forces

∑ y = 0

Fmg - 2(0.5 Fst ) = 0

∴Fmg = ( 12 * 10^6 ) ( 2 * π/4 (0.01)^2 )

          = 1884.96 N

Also determine the Compatibility equation in order to determine the change in Temperature

ΔT = 250°C

therefore Temperature at which average normal stress becomes 12.0 MPa

ΔT = T2 - T1

250°C = T2 - 15°C

T2 = 250 + 15 = 265°C

attached below is the detailed solution

If the two 304-stainless-steel carriage bolts of the clamp each have a diameter of 10 mmmm, and they
If the two 304-stainless-steel carriage bolts of the clamp each have a diameter of 10 mmmm, and they

A commercial jet is flying at a standard altitude of 35,000 ft with a velocity of 550 mph: (a) what is the Mach number? (b) should the flow be treated as incompressible, why or why not?

Answers

Answer:

Mach number = 0.68168

The flow should be treated as compressible.

Explanation:

Given that:

The altitude of a commercial jet = 35000

The properties of air at that given altitude are as follows:

Pressure = 24.577 kPa

Temperature T = 50.78176° C

Temperature T = ( 50.78176 + 273 )K = 328.78176 K

\(\varphi = 0.38428 \ kg/m^3\)

The velocity is also given as: 550 mph = 245.872 m/s

Therefore, the sonic velocity is firstly determined by using the formula:

\(a = \sqrt{ \vartheta \times R \times T\\)

\(a = \sqrt{1.4 \times 287 \times 323.78176\)

\(a = \sqrt{130095.5112\)

a = 360.68755 m/s

Then, we can calculate the Mach number by using the expression:

\({Mach \ number = \dfrac{V}{a}}\)

\(Mach \ number = \dfrac{245.872}{360.68755}\)

Mach number = 0.68168

b) Ideally, all flows are compressible because the Mach number is greater than 0.3, suppose the Mach number is lesser than 0.3, then it is incompressible.

The UHRS platform is optimized for Edge/Internet Explorer only. You can still use your favorite browser, but keep in mind that you may experience technical issues when working on UHRS with a different browser than Edge or Internet Explorer.

UHRS is optimized for...

Answers

It is to be noted that all UHRS platforms are optimized for the popular kinds of internet browser applications.

What is a UHRS?

The Universal Human Relevance System (UHRS) is a crowdsourcing platform that allows for data labeling for a variety of AI application situations.

Vendor partners link people referred to as "judges" to offer data labeling at scale for us. All UHRS judges are bound by an NDA, ensuring that data is kept protected.

A browser is a software tool that allows you to see and interact with all of the knowledgeon the World Wide Web. Web sites, movies, and photos are all examples of this.

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provide black-box diagrams that are defined by the following vhdl entity declarations: a) entity ckt c is port ( bun a, bun b, bun c : in std logic vector(7 downto 0); lda, ldb, ldc : in std logic; reg a, reg b, reg c : out std logic vector(7 downto 0)); end ckt c; 3.6 exercises 27 b) entity ckt e is port ( ram cs, ram we, ram oe : in std logic; sel op1, sel op2 : in std logic vector(3 downto 0); ram data in : in std logic vector(7 downto 0); ram addr in : in std logic vector(9 downto 0); ram data out : out std logic vector(7 downto 0)); end ckt e;

Answers

The entity declaration includes the name of the entity and a set of port declaration. So declaration that includes the name of ports and direction of flow through the ports by (in, out or inout).

What is a black box diagram?

A "black box" is an apparatus, system, or piece of equipment used in research, computer, or engineering that generates meaningful data while concealing any details of its internal operations. Its conclusions' justifications are still "black," or ambiguous. Unable to be understood internally, a black box system can only be understood in terms of its inputs and outputs.

With the traditional "black box test," approach only the stimulus/response behavior will be taken into account when analyzing an open system in order to infer the (unknown) box. In the given diagram, there are no outs for ports B as all are written in before std-logic. Meanwhile, in port a, the same goes but there are 5 inputs and 3 outputs. Not 6 as bun_b_bun_c is treated as one input, not two. The black-box diagrams that are defined by the following vhdl entity are attached below:

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provide black-box diagrams that are defined by the following vhdl entity declarations: a) entity ckt
provide black-box diagrams that are defined by the following vhdl entity declarations: a) entity ckt

the open-ended polyvinyl chloride pipe has an inner diameter of 4 in. and thickness of 0.2 in. if it carries flowing water at 62 psi pressure, determine the state of stress in the walls of the pipe

Answers

There is no stress in the longitudinal direction since the pipe has no open ends.

What is longitudinal stress?

The tension that results from subjecting a pipe to internal pressure is known as longitudinal stress. A pipe's longitudinal stress acts in the direction of the pipe's length because it is parallel to the longitudinal axis of the pipe's centerline axis.

Tensile stress and compressive stress are two further subtypes of longitudinal stress. Tensile tension is the term for a type of stress that causes a body to grow longer.

Open ended pipe -longitudinal stress:

As we know if there are open ends there won't be any longitudinal stress

Hence, we can conclude that open pipes have no longitudinal stress

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Why is the reasoning important when you make a scientific argument?

Answers

Answers and credibility of how you got there without reasoning

The _____ controls the opening of engine’s valves.

(A) camshaft

(B) crankshaft

(C) valve springs

(D) combustion chamber

Answers

A) The Camshaft Controls The Opening of The Engines Valves

a threaded rod has 11 threads per inch how many threads are there in 16 inches of the rod

Answers

The number of threads in 16 inches of the rod is 176 threads

Calculation and Parameters

Given that:

1 threaded rod= 11 threads per inch

Therefore, to find the number of threads in 16 inches of the rod,

We would have to multiply and this is given below:

16 * 11= 176 threads

This answer is gotten because a threaded rod has 11 threads per inch and when there are 16 inches of rod, to find the number of inches, you would have to multiply the values together.

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Q1: The first option should always be to get out safely (RUN)
1: True
2: False
Q2: If others refuse to leave you should stay with them.
1: True
2: False
Q3: If you can't get out safely you should HIDE.
1: True
2: False
Q4: You should gather your belongings before you leave.
1: True
2: False
Q5: You should only FIGHT as a last resort.
1: True
2: True

Answers

Answer:

Q1 true

Q2 true

And other I am confuse

Proper, smooth shifting is important because if you shift before your vehicle is ready

Answers

Proper, smooth shifting is important because shifting before your vehicle is ready will cause it to je-rk forward and your drive wheels may lock.

How to properly shift your gears?

A proper, smooth shifting of the gears of an automobile vehicle is very important because shifting them before the vehicle is ready would cause the following:

Jer-king forward. Lock of the drive wheels.Loss of control of the vehicle.

As a good driver, proper, smooth shifting is important because shifting before your vehicle is ready will cause it to je-rk forward and your drive wheels may lock.

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what general steps should you follow after an engine failure in flight

Answers

Maintain aircraft control and establish a glide. Identify the cause of the engine failure and attempt to restart the engine. Prepare for an emergency landing and communicate with air traffic control for assistance.

After an engine failure in flight, the first and foremost priority is to maintain control of the aircraft. Pilots must quickly assess the situation and establish a glide to maintain altitude and minimize the loss of altitude. By maintaining control, the pilot ensures the safety of the aircraft and its occupants.

Once control is established, the next step is to identify the cause of the engine failure. This could be due to various factors such as fuel system issues, mechanical failure, or a loss of power. The pilot should follow the appropriate checklist to attempt an engine restart if possible. This may involve actions such as switching fuel tanks, adjusting fuel mixture, or engaging the engine starter. If successful, the engine restart would restore power and enable the pilot to continue the flight.

If the engine restart is not possible or unsuccessful, the pilot must prepare for an emergency landing. This involves selecting a suitable landing site considering factors such as terrain, obstacles, and availability of emergency services. The pilot should communicate the situation to air traffic control and seek their assistance for guidance and any necessary emergency services.

In summary, the general steps to follow after an engine failure in flight are to maintain aircraft control and establish a glide, identify the cause of the engine failure and attempt a restart, and prepare for an emergency landing while communicating with air traffic control for assistance. By following these steps, pilots can maximize the chances of a safe outcome in the event of an engine failure.

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When a pungent odor is detected during a sealed system recovery and/or repair which of the following is most likely

Answers

Answer: A leak in the system

Explanation:

The ____ command allows the programmer to synchronize process execution by suspending the parent until the child is finished. Group of answer choices

Answers

The wait() command is a system call that enables a parent process to pause its execution until a child process finishes executing.

It is used for process synchronization and allows the parent process to control the order of execution. The parent process is blocked until the child process terminates, ensuring that the parent does not continue executing before the child has completed its task.

This is particularly useful in scenarios where the child process generates output or a result that the parent process requires.

Without the wait() command, the parent process would continue executing, and the child process output may not be available when needed. The wait() command is a fundamental feature of inter-process communication and process control, allowing multiple processes to coordinate their execution.

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Other Questions
Listening attentively to My Favorite Things played by John Coltrane, soprano saxophone (ss); McCoy Tyner, piano (p); Steve Davis, bass (b); and Elvin Jones, drums (d); and address the following questions:Provide counter numbers for the beginnings and ends of the solos by McCoy Tyner and John Coltrane. (The order of solos in this piece is: Coltrane (melody), Tyner, Coltrane.)Tyner plays the A section and then "vamps" with the pedal point in the bass before he begins to solo. A vamp is when one or two chords are repeated, usually with a pedal point. Coltrane also states the A section in his solo. Describe their solo styles.Listen to Tyner and Coltrane phrase or create musical lines over the chord changes. Do Tyner and Coltrane solo on the chord changes of the melody? Do you recognize the modal characteristics of these solo sections? Try to include some detail.Describe the rhythmic feel of drummer Elvin Jones and bassist Steve Davis during Coltrane's solo. Would you describe the style of these soloists as bop, hard bop, modal, elements of all or something else? Explain in detail using what you've learned from the Lessons about these particular styles. An experiment can be assumed to have internal validity if Group of answer choices all variables other than the independent variable are kept constant. there is a strong manipulation of the independent variable. confounding variables are present. the dependent variable is valid. The Ranchview Zoo has 2 zebras, a male and a female. The male zebra weighs 5 pounds for every 4 pounds the female zebra weighs.Pick the diagram that models the ratio in the story.If the male zebra weighs 150 pounds more than the female zebra, how much does the male zebra weigh? A bag contains 4 red, 3 green, and 2 yellow marbles. One marble is randomly chosen What is the probability that the marble picked is red? what is the slope and y intercept for x+4=0 In not less than 450 words describe your family and her major values to a friend Whats the correct answer for this question? Write a brief summary of the U.S. constitution. Using 3.14 for , what is the volume of the cylinder?O A. 21.771 cubic metersO B. 32.656 cubic metersO C. 65.312 cubic metersO D. 169.811 cubic meters If 0.04 moles of substance B can produce 121 J of heat. What is the change in reaction enthalpy in J associated with the following balanced reaction? (Hint: *pay attention the the coefficient for substances B type *deteine the sign for heat, either + or -). Round and report your answer to an integer without decimal place including + or - sign. Only enter numeric value, no unit.A+2B (arrow pointing right) AB(subscript number 2) +heatH(rxn) =??? Using Matlab, i) obtain the unit-step response, unit-ramp response, and unit- impulse response, ii) Plot the root locus of the following system. 6 -5 -10 X1 A-100 = + 0 X1 y = [0 10 10] X2 where u is the input and y is the output. Which planet do you think would be easiest for humans to colonize some day? Explain. After balancing this equation, how many oxygen atoms are present on the product side of the following equation:C3H8 + 02 --> CO2 + H20A.10B.42C.2D.3 If you were going to lead a slave rebellion, what skills/resources would you need? a system of regular payments for when something bad happensa. Directly b. Reasonable c. Insuranced. Tuition 7. If VS = 12 meters, find the length of UT.=R127VSogmotorantollesWloonslederUT For questions 2-4, write two equivalent expressions for each radical expression using theproduct law of radicals. One of your expressions should simplify to an integer multipliedby a radical.2.128 =3.128= How to fix sentence fragments? Select all that apply.A. By adding a subject B. By adding a verb C. By adding an adjective D. By making the sentence a complete thought. why did Hinduism have priests Ancient fossils that seem to be an intermediate stage in the evolution from fish to tetrapods had which of the following characteristics?A) fins and scales like a fish but ribs to support the body and a bone structure in the front limb like tetrapodsB) a pelvis and rear limbs like a fish and gills like a tetrapodC) bones that allowed the head to move like a fish and both gills and lung like a tetrapodD) scales and a tail like a fish and a simple bone arrangement in the back limb like a tetrapod