(a) Draw the repeating unit structure for polyethylene and Teflon (PTFE) Describe how the properties of these polymers are related to their chemical structure 5 marks (b) What is an "engineered polymer"? State two engineered polymers and give two common applications for each. 5 marks (c) With respect to polymer chemistry, what is a "glass transition"? Describe a common scenario where you may observe this effect 5 marks (d) Thermal analysis is widely used to characterise polymers. Draw and annotate a typical DSC plot for a thermoplastic. 5 marks (e) List three manufacturing issues arising from the re-use of recycled polymers. How could engineers design equipment to facilitate more efficient polymer recycling and re-use? 5 marks

Answers

Answer 1

Engineers can design equipment to facilitate more efficient polymer recycling and re-use by implementing automated sorting and cleaning processes, using advanced analytical techniques to detect and remove contaminants, and optimizing processing conditions to minimize degradation and maintain consistent properties.

(a) The repeating unit structure for polyethylene is (-CH2-CH2-)n, where n represents the number of repeating units. The repeating unit structure for Teflon (PTFE) is (-CF2-CF2-)n. Polyethylene is a highly crystalline polymer with good strength and stiffness, while Teflon (PTFE) is a highly fluorinated polymer with excellent chemical resistance and low friction.

(b) An "engineered polymer" is a polymer that has been modified or designed to exhibit specific properties for a particular application. Two examples of engineered polymers are:

Kevlar - a high-strength polymer used in bulletproof vests and body armor, as well as other applications requiring high strength and low weight.

Nylon - a versatile polymer used in a variety of applications such as clothing, carpeting, and industrial materials.

(c) The "glass transition" is the temperature range in which an amorphous polymer transitions from a hard, glassy state to a soft, rubbery state. This transition is caused by molecular motion and relaxation, and is characterized by a change in the heat capacity of the material. One common scenario where you may observe this effect is when you heat up a plastic container in the microwave - as the temperature increases, the plastic may become more flexible and deformable due to the glass transition.

(d) A typical DSC (differential scanning calorimetry) plot for a thermoplastic polymer shows the heat flow (vertical axis) as a function of temperature (horizontal axis). The plot typically shows two peaks - the first peak corresponds to the glass transition temperature (Tg), and the second peak corresponds to the melting temperature (Tm) of the polymer. The Tg is the temperature range in which the polymer transitions from a glassy state to a rubbery state, and is characterized by a change in the heat capacity of the material. The Tm is the temperature at which the crystalline regions of the polymer melt.

(e) Three manufacturing issues arising from the re-use of recycled polymers are:

Contamination - recycled polymers may contain impurities or contaminants that can affect their properties or performance.

Degradation - repeated processing of recycled polymers can cause them to degrade or break down, leading to reduced properties or performance.

Inconsistent properties - recycled polymers may have inconsistent properties due to variations in the source materials or processing conditions.

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Related Questions

compute the reactions and draw the shear and moment curves for the beam. ei is constant.

Answers

To compute the reactions and draw the shear and moment curves for a beam, we need to know the external loads acting on the beam, the geometry of the beam, and the boundary conditions.

Once we have this information, we can use the equations of statics and mechanics of materials to determine the reactions, shear forces, and bending moments at different points along the beam.

To compute the reactions, we use the equations of statics, which state that the sum of forces and moments acting on a system must be equal to zero.

Once we have determined the reactions, we can use the equations of equilibrium to find the shear forces and bending moments at different points along the beam.

The shear force is the sum of the forces acting on one side of a cut in the beam, while the bending moment is the sum of the moments acting on one side of the cut.

We can then draw the shear and moment curves using these values, which show how the shear force and bending moment vary along the length of the beam.

The EI being constant implies that the beam has constant flexural rigidity, which is the product of the modulus of elasticity E and the moment of inertia I.

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how does the viscosity of a polymer melt differ from most fluids that are newtonian?

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The viscosity of a polymer melt is different from most fluids that are Newtonian because it is a non-Newtonian fluid. Newtonian fluids have a constant viscosity regardless of the shear rate or stress applied, while non-Newtonian fluids like polymer melts have a variable viscosity.

In polymer melts, the viscosity is dependent on the applied stress or shear rate. As the shear rate increases, the viscosity of the polymer melt decreases. The reason for this behavior is due to the long-chain molecular structure of polymer melts. The long chains can become entangled and hinder the flow of the polymer melt, causing an increase in viscosity.However, when a force is applied, the entanglements can be broken, allowing the chains to move more freely and reducing the viscosity. This non-Newtonian behavior of polymer melts has important implications for their processing and applications. For example, it can affect the mixing and flow of polymer melts in extrusion and molding processes. Understanding and controlling the viscosity of polymer melts is crucial for optimizing these processes and achieving desired properties in the final product.

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Find v(t) for t > 0 in the given circuit if the initial current in the inductor is zero. Assume I = 6u(t) A.The voltage v(t) = [ ]e–t / [ ] V. Fill in the two [ ].

Answers

The voltage v(t) = [9]e[tex]^(^-^t^/^(^2^L^)[/tex]) / [1+12L/9] V for t >

To find the voltage v(t) for t > 0 in the given circuit, we need to analyze the circuit using Kirchhoff's laws and the equations that describe the behavior of the circuit elements.

The circuit consists of a resistor R = 2 Ω, an inductor L = 1 H, and a voltage source V = 6 u(t) V, where u(t) is the unit step function. We can use Kirchhoff's voltage law (KVL) to write an equation for the voltage across the circuit:

V - L di/dt - IR = 0

where i is the current through the circuit and di/dt is the rate of change of the current. Since the initial current in the inductor is zero, we can assume that i(0) = 0.

Taking the derivative of both sides of the equation with respect to time, we get:

d²i/dt² + (R/L) di/dt + (1/L) i = (1/L) (dV/dt)

This is a second-order linear differential equation with constant coefficients. The homogeneous solution is:

i_h(t) = c₁ e[tex]^(^-^t^/^(^2^L^)[/tex]) + c₂ e[tex]^(^-^R^t^/^(^2^L^)[/tex])

where c₁ and c₂ are constants determined by the initial conditions. Since i(0) = 0, we have:

c₁ + c₂ = 0

or

c₁ = -c₂

The particular solution to the non-homogeneous equation is:

i_p(t) = (1/L) ∫(0 to t) e[tex]^(^-^(^t^-^τ^)^/^(2^L^)[/tex]) (dV/dτ) d[tex]^(^-^(^t^-^τ^)^/^(^2^L^)[/tex])

Since V = 6 u(t) V, we have:

(dV/dτ) = 6 δ(t-τ) V/s, where δ(t-τ) is the Dirac delta function.

Substituting this into the expression for i_p(t), we get:

i_p(t) = (6/L) ∫(0 to t) e^(-(t-τ)/(2L)) δ(t-τ) dτ

The integral evaluates to:

i_p(t) = (6/L) e[tex]^(^-^t^/^(^2^L^)[/tex])

The general solution to the non-homogeneous equation is:

i(t) = i_h(t) + i_p(t) = c₁ e[tex]^(^-^t^/^(^2^L^)[/tex]) + c₂ e[tex]^(^-^R^t^/^(^2^L^)[/tex]) + (6/L) e[tex]^(^-^t^/^(^2^L^)[/tex])

Using the initial condition i(0) = 0 and the fact that i(0) = di/dt(0), we can write:

c₁ + c₂ + 6/L = 0

and

-c₁ R/(2L) - c₂/(2L) - 3/L = 0

Solving these equations for c₁ and c₂, we get:

c₁ = 9/2L, c₂ = -9/2L - 6/L

Substituting these values into the expression for i(t), we get:

i(t) = (9/2L) e[tex]^(^-^t^/^(^2^L^)[/tex]) - (9/2L + 6/L) e[tex]^(^-^R^t^/^(^2^L^)[/tex])

Finally, we can use Ohm's law to find the voltage across the resistor:

v(t) = IR = 2i(t) = 9 e[tex]^(^-^t^/^(^2^L^)[/tex]) - (9 + 12L) e[tex]^(^-^R^t^/^(^2^L^)[/tex])

Therefore, the voltage v(t) = [9]e[tex]^(^-^t^/^(^2^L^)[/tex]) / [1+12L/9] V for t >

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what is the difference between an argument that is valid and one that is invalid? construct an example each.

Answers

An argument is said to be valid when its conclusion follows logically from its premises. In other words, if the premises are true, then the conclusion must also be true.

On the other hand, an argument is said to be invalid when its conclusion does not follow logically from its premises. This means that even if the premises are true, the conclusion may not necessarily be true.
For example, consider the following argument:
Premise 1: All cats have tails.
Premise 2: Tom is a cat.
Conclusion: Therefore, Tom has a tail.
This argument is valid because if we accept the premises as true, then the conclusion logically follows. However, consider the following argument:
Premise 1: All dogs have tails.
Premise 2: Tom is a cat.
Conclusion: Therefore, Tom has a tail.
This argument is invalid because even though the premises may be true, the conclusion does not logically follow from them. In this case, the fact that all dogs have tails does not necessarily mean that all cats have tails, so we cannot use this premise to support the conclusion.
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if the message number is 64bits long. how many messages could be numbered. b) choose an authentication function for secure channel, the security factor required is 256bits.

Answers

If the message number is 64 bits long, then there could be a total of 2^64 possible message numbers. This is because each bit has two possible states (0 or 1) and there are 64 bits in total, so 2 to the power of 64 gives us the total number of possible message numbers.

For the authentication function, a common choice for a secure channel with a security factor of 256 bits would be HMAC-SHA256. This is a type of message authentication code (MAC) that uses a secret key and a cryptographic hash function to provide message integrity and authenticity. HMAC-SHA256 is widely used in secure communication protocols such as TLS and VPNs.


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#Exercise 1 -- print the following numbers vertically on screen using a for loop and range combo: #all integers from zero to 99

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The integers from 0 to 99 vertically on the screen using a for loop and range combo in Python: ``` for i in range(100): print(i) ``` This code will iterate through the range of integers from 0 to 99 (100 is not included), and for each integer, it will print it on a new line.

The `print()` function automatically adds a newline character after each argument, so each integer will be printed vertically on the screen. The `range()` function is used to generate a sequence of integers, starting from 0 (the default starting value) and ending at the specified value (in this case, 99). The `for` loop then iterates through each value in the sequence, and the `print()` function is called to print each value. You can modify this code to print the numbers in different formats, such as with leading zeros or with a specific width, by using string formatting techniques. For example, to print the numbers with two digits and leading zeros, you can use the following code: ``` for i in range(100): print("{:02d}".format(i)) ``` This code uses the `format()` method to format each integer as a string with two digits and leading zeros, using the `{:02d}` placeholder. The `d` indicates that the value is an integer, and the `02` specifies that the value should be padded with zeros to a width of two characters.

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When an arbitrary substance undergoes an ideal throttling process through a valve at steady state, (SELECT ALL THAT APPLY). a. inlet and outlet pressures will be equal. b. inlet and outlet specific enthalpies will be equal. c. inlet and outlet mass flowrates will be equal. d. inlet and outlet temperatures will be equal.

Answers

The correct answers are:
a. Inlet and outlet pressures will be equal.
c. Inlet and outlet mass flowrates will be equal.
b. Inlet and outlet specific enthalpies will be equal.
d. Inlet and outlet mass flowrates will be equal.

When an arbitrary substance undergoes an ideal throttling process through a valve at steady state, there are certain properties that remain constant while others may change. The four options given in the question are:

a. Inlet and outlet pressures will be equal.
b. Inlet and outlet specific enthalpies will be equal.
c. Inlet and outlet mass flowrates will be equal.
d. Inlet and outlet temperatures will be equal.
Let's consider each option one by one:
a. Inlet and outlet pressures will be equal: This statement is true for an ideal throttling process. The pressure drop across the valve results in a decrease in enthalpy and temperature of the fluid. However, the pressure remains constant since the throttling process is assumed to be adiabatic and there is no external work done.
c. Inlet and outlet mass flowrates will be equal: This statement is also true for an ideal throttling process. The mass flowrate of the fluid remains constant since there is no heat transfer or work done on the system.
d. Inlet and outlet temperatures will be equal: This statement is not true for an ideal throttling process. The temperature of the fluid decreases due to the pressure drop across the valve. Therefore, the inlet and outlet temperatures will be different.

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Consider the method createTriangle that creates a right triangle based on any given character and with the base of the specified number of times.
For example, the call createTriangle ('*', 10); produces this triangle:
*
**
***
****
*****
******
*******
********
*********
**********
Implement this method in Java by using recursion.
Sample main method:
public static void main(String[] args) {
createTriangle('*', 10);

Answers

The createTriangle method uses recursion to create a right triangle with a specified character and base size in Java.

Here's a possible implementation of the createTriangle method in Java using recursion:

public static void createTriangle(char ch, int base) {

   if (base <= 0) {

       // Base case: do nothing

   } else {

       // Recursive case: print a row of the triangle

       createTriangle(ch, base - 1);

       for (int i = 0; i < base; i++) {

           System.out.print(ch);

       }

       System.out.println();

   }

}

This implementation first checks if the base parameter is less than or equal to zero, in which case it does nothing and returns immediately (this is the base case of the recursion). Otherwise, it makes a recursive call to createTriangle with a smaller value of base, and then prints a row of the triangle with base characters of the given character ch. The recursion continues until the base parameter reaches zero, at which point the base case is triggered and the recursion stops.

To test this method, you can simply call it from your main method like this:

createTriangle('*', 10);

This will create a right triangle using the '*' character with a base of 10. You can adjust the character and base size as desired to create different triangles.

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dealized electron dynamics. A single electron is placed at k=0 in an otherwise empty band of a bcc solid. The energy versus k relation of the band is given by €(k)=-a –8y cos (kxa/2); At 1 = 0 a uniform electric field E is applied in the x-axis direction Describe the motion of the electron in k-space. Use a reduced zone picture. Discuss the motion of the electron in real space assuming that the particle starts its journey at the origin at t = 0. Using the reduced zone picture, describe the movement of the electron in k-space. Discuss the motion of the electron in real space assuming that the particle starts its movement at the origin at t= 0.

Answers

The motion of the electron in k-space can be described using a reduced zone picture.

How to explain the motion

The Brillouin zone of the bcc lattice can be divided into two identical halves, and the reduced zone is defined as the half-zone that contains the k=0 point.

When the electric field is applied, the electron begins to accelerate in the x-axis direction. As it gains kinetic energy, it moves away from k=0 in the positive x direction in the reduced zone. Since the band has a periodic structure in k-space, the electron will encounter the edge of the reduced zone and wrap around to the other side. This is known as a band crossing event.

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the ____ operates like an electric check valve; it permits the current to flow through it in only one direction. a) Transistor. b) Diode. c) triode.

Answers

The diode operates like an electric check valve, allowing the current to flow through it in only one direction. A diode is a semiconductor device with two terminals, known as the anode and cathode. It has a p-type semiconductor material on one side and an n-type on the other side.

The p-side is positively charged and the n-side is negatively charged. When a voltage is applied across the diode in the forward bias direction, the positive voltage applied to the anode attracts electrons from the n-side and allows them to flow to the p-side, creating a current flow. However, when the voltage is applied in the reverse bias direction, the negative voltage applied to the anode repels electrons from the p-side, making it difficult for the current to flow in that direction.

This property of the diode makes it useful in many electronic circuits such as rectifiers, voltage regulators, and signal limiters. Diodes can also be used in conjunction with other electronic components, such as capacitors and resistors, to create more complex circuits that perform a wide range of functions.

Transistors and triodes are also electronic components but do not function as one-way valves for current flow.

Hi! Your question is: "The ____ operates like an electric check valve; it permits the current to flow through it in only one direction." The correct term to fill in the blank is b) Diode.

Your answer: The diode operates like an electric check valve; it permits the current to flow through it in only one direction.

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A hydroelectric facility operates with an elevation difference of 50 m with flow rate of 500 m3/s. If the rotational speed of the turbine is to be 90 rpm, determine the most suitable type of turbine and
estimate the power output of the arrangement.

Answers

If a hydroelectric facility operates with an elevation difference of 50 m with flow rate of 500 m3/s. If the rotational speed of the turbine is to be 90 rpm, then the estimated power output of the arrangement is approximately 220.7 MW.

Based on the provided information, the most suitable type of turbine for a hydroelectric facility with an elevation difference of 50 m and a flow rate of 500 m³/s would be a Francis turbine. This is because Francis turbines are designed for medium head (elevation difference) and flow rate applications.

To estimate the power output of the arrangement, we can use the following formula:

Power Output (P) = η × ρ × g × h × Q

Where:
η = efficiency (assuming a typical value of 0.9 or 90% for a Francis turbine)
ρ = density of water (approximately 1000 kg/m³)
g = acceleration due to gravity (9.81 m/s²)
h = elevation difference (50 m)
Q = flow rate (500 m³/s)

P = 0.9 × 1000 kg/m³ × 9.81 m/s² × 50 m × 500 m³/s

P = 220,725,000 W or approximately 220.7 MW

Therefore, the estimated power output of the arrangement is approximately 220.7 MW.

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what is the difference between public and private IP addressesa) public IP addresses are unique and can be accessed from anywhere on the internet while private IP addresses are used only within a local networkb) public IP addresses are shorter and easier to remember than private IP addressesc) public IP addresses are always assigned dynamically while private IP addresses can be assigned dymanically or staticallyd) public IP addresses are assigned by internet service providers (ISPs) while private IP addresses are assigned by routers

Answers

The difference between public and private IP addresses is quite extensive, and it requires a long answer to explain. Public IP addresses are unique and can be accessed from anywhere on the internet, while private IP addresses are used only within a local network.

Another difference between public and private IP addresses is their length and ease of memorization. Public IP addresses are usually shorter and easier to remember than private IP addresses, which can be quite lengthy and complicated.

Additionally, public IP addresses are always assigned dynamically, which means that they can change over time. This is because internet service providers (ISPs) assign public IP addresses to devices on their network dynamically, based on availability and need. Private IP addresses, on the other hand, can be assigned dynamically or statically. Dynamic addressing means that the router assigns IP addresses to devices as they connect to the network, while static addressing means that the IP address is manually assigned to a device and remains the same until it is changed.

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When you initialize an array but do not assign values immediately, default values are not automatically assigned to the elements. O True O False

Answers

It is false that when you initialize an array but do not assign values immediately, default values are automatically assigned to the elements.

When you declare and create an array in Java, the elements are assigned default values based on their data type. For example, for integer arrays, the default value is 0; for boolean arrays, the default value is false; and for object arrays, the default value is null. This means that if you create an array but do not assign values to its elements immediately, the elements will still have default values.

When you initialize an array but do not assign values immediately, default values are automatically assigned to the elements based on the data type of the array. For example, in Java, default values for numeric data types are 0, for boolean data types it is false, and for object references, it is null.

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During the isothermal heat rejection process of a Carnot cycle, the working fluid experiences an entropy change of -0.7 Btu/R. If the temperature of the heat sink is 95 degree F, determine (a) the amount of heat transfer, (b) the entropy change of the sink, and (c) the total entropy change for this process.

Answers

During the isothermal heat rejection process of a Carnot cycle, the working fluid experiences an entropy change of -0.7 Btu/R.

To determine the amount of heat transfer, we can use the formula Q = TS, where Q is the heat transfer, T is the temperature, and S is the entropy change. Plugging in the values given, we get Q = (-0.7 Btu/R)(95 degree F) = -66.5 Btu.

To determine the entropy change of the sink, we can use the formula S = Q/T, where Q is the heat transfer and T is the temperature of the sink. Plugging in the values given, we get S = (-66.5 Btu)/(95 degree F) = -0.7 Btu/R.

To determine the total entropy change for this process, we can add up the entropy changes of the working fluid and the sink. The entropy change of the working fluid was given as -0.7 Btu/R, and the entropy change of the sink was calculated as -0.7 Btu/R, so the total entropy change is (-0.7 Btu/R) + (-0.7 Btu/R) = -1.4 Btu/R.

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An NMOS transistor with k'-800 μA/V², W/L=12, Vтh=0.9V, and X=0.07 V-1, is operated with VGs=2.0 V.
1. What current Ip does the transistor have when is operating at the edge of saturation? Write the answer in mA

Answers

The transistor has a drain current of 52.8 mA when operating at the edge of saturation.

What is the significance of operating a transistor at the edge of saturation?

To find the drain current (Ip) at the edge of saturation, we need to first calculate the drain-source voltage (VDS) at this point. The edge of saturation is when VGS - Vth = VDS.

In this case, VGS = 2.0 V and Vth = 0.9 V, so VDS = VGS - Vth = 2.0 V - 0.9 V = 1.1 V.

The drain current in saturation is given by the equation:

Ip = (k' / 2) * (W/L) * (VGS - Vth)² * (1 + λVDS)

where λ is the channel-length modulation parameter, and VDS is the drain-source voltage.

Here, λ is not given, but assuming it to be 0, we get:

Ip = (k' / 2) * (W/L) * (VGS - Vth)² = (800 μA/V² / 2) * (12) * (1.1 V)² = 52.8 mA

The transistor has a drain current of 52.8 mA when operating at the edge of saturation.

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You and three friends go to the town carnival, and pay an entry fee. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $31, write an equation to show how much one regular price ticket costs. Then, solve what is the ph of a 0.758 m lin3 solution at 25 c (ka for hn3 = 1.9 x 10^-5) show cov(x_1, x_1) = v(x_1) = \sigma^2_1(x 1 ,x 1 ) a positive return on investment for higher education _____. how much energy is stored in a 2.60-cm-diameter, 14.0-cm-long solenoid that has 150 turns of wire and carries a current of 0.780 a find the values of the following expressions: a) 10 = 1 b) 1 1 = 1 c) 00 = 0 d) (1 0) = 0 When an arbitrary substance undergoes an ideal throttling process through a valve at steady state, (SELECT ALL THAT APPLY). a. inlet and outlet pressures will be equal. b. inlet and outlet specific enthalpies will be equal. c. inlet and outlet mass flowrates will be equal. d. inlet and outlet temperatures will be equal. A landscaper earns $30 for each lawn her company mows, but she pays $210 per day in salary to her employees. If her company made more than $150 profit from mowing lawns in a 7-day week, what are the possible numbers of lawns the company could have mowed? Select two options. 12 37 54 61 80. After testing a hypothesis regarding the mean, we decided not to reject H0. Thus, we are exposed to:a.Type I error.b.Type II error.c.Either Type I or Type II error.d.Neither Type I nor Type II error. Gentamycin crystals are filtered though a small test.a. Trueb. False MRS FALKENER HAS WRITTEN A COMPANY REPORT EVERY 3 MONTHS FOR THE LAST 6 YEARS. IF 2\3 OF THE REPORTS SHOWS HIS COMPONY EARNS MORE MONEY THEN SPENDS, HOW MANY REPORTS SHOW HIS COMPANY SPENDING MORE MONEY THAN IT EARNS A recipe for a fruit smoothie drink calls for strawberries and raspberries. The ratio of strawberries to raspberries in the drink is 5:20 What percent of all pieces of fruit used are strawberries? the sodium- nuclide radioactively decays by positron emission. write a balanced nuclear chemical equation that describes this process. Of the following examples, which has the potential to lead to domination in an industry by a monopoly? sole ownership of a natural resource O rapid technology innovation low barriers to entry into the market international regulations Convert the polar equation to rectangular coordinates. (Use variablesxandyas needed.)r= 7 cos() how many grams of aluminum can be formed by passage of 305c through an electrolytic cell containing a molten aluminum salt please answer all 3 and show work the covariance between stocks x and y is 141.6667. the standard deviation of stock x is 10.8012 and stock y is 15.2534. what is the correlation? When you initialize an array but do not assign values immediately, default values are not automatically assigned to the elements. O True O False The rate of phosphorus pentachloride decomposition is measured at a PCI5 pressure of 0.015 atm and then again at a PCl5 pressure of 0.30 atm. The temperature is identical in both measurements. Which rate is likely to be faster?