A particle which moves in two-dimensional curvilinear motion has coordinates in millimeters which vary with time t in seconds according to X=2t^2 +3t–1 and y = 5t - 2. Determine the coordinates of the center of curvature C at time t = 1s.

Answers

Answer 1

Answer:

The answer is "22.501,-22.899"

Explanation:

Just as in the previous problems find the angle the velocity makes with the  x-axis and radius of curvature.

\(x= 2t^2 + 3t — 1\\\\y=5t-2\\\\x=4t+3\\\\y=5\\\\\tan \alpha (t = 1) =\frac{y}{x}=\frac{5}{4+3}=\frac{5}{7} \to alpha=35.54^{\circ}\\\\\)

For the radius of curvature, we can use the expression from the last two  problems, but first express the position and derivatives as y(x).

\(y(x)=2(\frac{y+2}{5})^2+3(\frac{y+2}{5})-1=\frac{1}{25}(2y^2+23y+13)\\\\y'(x)=\frac{1}{25}(4y+23)\\\\y''(x)=\frac{4}{25}\\\\\rho(t=1)=\frac{[1+(\frac{dy}{dx})^2]^{\frac{3}{2}}}{\frac{d^2y}{dx^2}}=\frac{(1+(\frac{35}{25})^2)^{\frac{3}{2}}}{4}25=31.828\)

The position for the center of the radius of curvature \(\vec{r}\), (finding this expression is easy and is left as an exercise for the reader.)

\(\to \vec{r} = \hat{x}(x + \rho \sin \alpha) + \hat{y}(y- \rho \cos \alpha)\\\\= (4 + 18.501, 3-25.899)\\\\=(22.501, -22.899)\)


Related Questions

Given the following table describing the procedure for Alice to send a signed message with RSA signature to Bob, calculate the unknown entities and verify that Bob has received the correct message sent by Alice.

Answers

Answer:

To solve this question, we would need to refer to the table mentioned in the given source material. Unfortunately, the table is not provided in the search results, so it cannot be displayed here. Can you please provide the table mentioned in the source material or more information about where it can be found?

Explanation:

You have been allocated a club instance to conduct pic for a customer.what steps do you need to follow before initiating the pic ?

Answers

Explanation:

1. Verify the scope of work: Make sure you understand the scope of work and requirements for the customer's club instance. Confirm with the customer if any specific settings or customizations are required.

2. Schedule the PIC: Coordinate with the customer to schedule a suitable time and date for the PIC. Ensure that all necessary stakeholders are available and informed.

3. Review the customer's club instance: Review the customer's club instance to identify any potential issues or conflicts that need to be addressed during the PIC. Check the instance for any configuration, integration, or data issues.

4. Prepare for the PIC: Prepare a checklist and any necessary tools or documentation for the PIC. Make sure you have access to the customer's club instance, including any necessary login credentials or permissions.

5. Initiate the PIC: Once you have completed the above steps, initiate the PIC by going through the checklist and verifying that the customer's club instance is set up correctly and meets their requirements. Identify any issues or gaps that need to be addressed and work with the customer to resolve them.

6. Follow up: Once the PIC is complete, provide the customer with a report or summary of the findings. Follow up with any necessary actions or next steps, and confirm that the customer is satisfied with the results

discuss why pressure tests of pressurized tanks such as steam boilers, pipes and tanks including gases such as nitrogen, air, oxygen, etc. with high pressure are carried out hydrostatically by using liquids such as water and hydraulic oil.

Answers

The reason that  pressure tests of pressurized tanks such as steam boilers, pipes and tanks including gases such as nitrogen, air, oxygen, etc. with high pressure are carried out hydrostatically by using liquids such as water and hydraulic oil is because some of them are very volatile such as oxygen and can explode and as such the use of hydrostatic solvent can reduce its temperature.

Why do you use nitrogen for pressure testing?

The use of pressure tests is to ensure the integrity of equipment including pressure vessels, pipes, plumbing lines, gas cylinders, boilers, and fuel tanks, pressure tests are a non-destructive option. The piping codes demand that it be verified that a piping system can support its rated pressure and is leak-free.

Nitrogen is free from many of the issues that come with utilizing air or water for pressure testing because it is inert, odorless, and has a low moisture content. Additionally, thanks to portable nitrogen generators, nitrogen is perfect for testing in a range of places.

Tanks and pipes are subjected to hydrostatic pressure testing to check for leaks. A hydrostatic test is carried out by pressurizing the vessel or piping under test, filling it, and then checking for changes in the pressurization level.

Note that there is the district cooling or district heating systems, by performing a pressure test. In addition to ensuring proper operation, this kind of examination will enable us to identify any leaks in a specific pipe so that repairs may be completed.

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1. When choosing a respirator for your job, you must conduct a
test.
A) Weight
B) Practice
Co Fit
haz
D) Breathing

Answers

Answer:

D

Explanation:

Derive the resonant angular frequency w, in an under-damped mass-spring- damper system using k, m, and d. To consider the frequency response, we consider the transfer function with s as jω. G(s)=1/ms² +ds + k → G(jω) =1/-mω² + jdω + k
Since the gain |G(jω)l is an extreme value in wr, find the point where the partial derivative of the gain by w becomes zero and write it in your report. δ/δω|G(jω)l = 0 Please show the process of deriving ω, which also satisfies the above equation. (Note that underdamping implies a damping constant ζ < 1.

Answers

To derive the resonant angular frequency (ω) in an underdamped mass-spring-damper system using k (spring constant), m (mass), and d (damping coefficient), we start with the transfer function:

G(s) = 1 / (ms² + ds + k)

Substituting s with jω (where j is the imaginary unit), we get:

G(jω) = 1 / (-mω² + jdω + k)

To find the resonant angular frequency ωr, we want to find the point where the gain |G(jω)| is an extreme value. In other words, we need to find the ω value where the partial derivative of |G(jω)| with respect to ω becomes zero:

δ/δω|G(jω)| = 0

Taking the derivative of |G(jω)| with respect to ω, we get:

δ/δω|G(jω)| = (d/dω) sqrt(Re(G(jω))² + Im(G(jω))²)

To simplify the calculation, we can square both sides of the equation:

(δ/δω|G(jω)|)² = (d/dω)² (Re(G(jω))² + Im(G(jω))²)

Expanding and simplifying the derivative, we get:

(δ/δω|G(jω)|)² = [(dRe(G(jω))/dω)² + (dIm(G(jω))/dω)²]

Now, we take the partial derivatives of Re(G(jω)) and Im(G(jω)) with respect to ω and set them equal to zero:

(dRe(G(jω))/dω) = 0

(dIm(G(jω))/dω) = 0

Solving these equations will give us the ω value that satisfies the conditions for extremum. However, since the equations involve complex numbers and the derivatives can be quite involved, it would be more appropriate to perform the calculations using mathematical software or symbolic computation tools to obtain the exact ω value.

Note: Underdamping implies a damping constant ζ < 1, which affects the behavior of the system and the location of the resonant angular frequency.

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Technician A says that collapsible steering columns may use a pyrotechnic charge. Technician B says that collapsible brake pedals assemblies reduce the risk of trapping the drivers feet. Who is right

Answers

Answer:

I think A is correct

The two technicians are right in their given assessment about the use of collapsible steering columns and collapsible brake pedals to reduce the risk of trapping the driver's feet.

What is Safe Driving?

This refers to the vehicular movement from one point to another, obeying traffic rules, and respect for other drivers and pedestrians.

Hence, we can see that with regards to safe driving, the opinions of both Technicians A and B are both correct as they both want the safety of the car and the driver.

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what does kichfoff's currebt law​

Answers

Answer:

Kirchhoff's current law (1st Law) states that the current flowing into a node (or a junction) must be equal to the current flowing out of it

Explanation:

a hot-twist test is performed on a circular bar of 20 mm diameter and 200 mm length to find out its forgeability. before its fracture, the bar has undergone 175 turns. what will be the shear strain at the outer surface of the bar at the fracture

Answers

The shear strain at the outer surface of the bar at the fracture can be calculated using the formula:

Shear strain = (Number of turns * 360°) / (π * Diameter)

How can we calculate the shear strain in this scenario?

To find the shear strain at the outer surface of the bar, we need to use the formula mentioned above. In this case, the number of turns is given as 175, and the diameter of the circular bar is 20 mm.

Using the formula, we can calculate the shear strain as follows:

Shear strain = (175 * 360°) / (π * 20 mm)

Next, we simplify the equation:

Shear strain = (63,000°) / (π * 20 mm)

Further simplifying the equation:

Shear strain ≈ 10,056.34° / mm

Therefore, the shear strain at the outer surface of the bar at the fracture is approximately 10,056.34° / mm.

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How does energy transition from one form to another as water moves from behind a dam to downstream of a dam?.

Answers


Answer:
potential energy changes to kinetic energy
Explanation:

land subsidence due to overdrawing can cause what to occur? question 19 options: the formation of sinkholes the inability to recharge the aquifer in the future damages to roads, building foundations, and sewer lines all of these choices are correct.

Answers

Land subsidence is the gradual or abrupt sinking of the Earth's surface caused by the migration of earth elements underground.

Aquifer-system compaction, drainage of organic soils, underground mining, hydro compaction, natural compaction, sinkholes, are the main causes of land subsidence. The loss of levee freeboard and subsequent reduction in flood protection, the change in gradient along water conveyance canals, damage to roads and bridges, and the collapse of water well casings are some major consequences of land. When a lot of groundwater has been taken out of particular kinds of rocks, like fine-grained sediments happens. The ground is held up in part by the water, which causes the rock to compact. The rocks collapse in on themselves when the water is turned off.

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this is it dont anwser this is for my other account

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Answer:

thanks for the poiunts

Explanation:

When brazing, the lowest effective brazing temperatures possible should be used to minimize the effects of heat on the base metal. MAR O True False​

Answers

Answer:

False

Explanation:

Which are two additional important issues of web based UI design vs. local desktop Ul design? (Pick two) A)Load Time B)Browser compatibility C)Ad space D)Screen Size

Answers

Graphic designers and UI/UX designers are more likely to work for Jasmine. A member of her team.

The building and maintenance of websites require a variety of skills and disciplines known as web design. Among the many components of web design are search engine optimization, user interface design (UI design), authorship, which includes standardized code and custom software, and web graphic design. Even while some designers manage every step of the design process, it is typical for many people to collaborate in teams to handle different areas. Web design is sometimes used to describe the process of designing a website's front-end (client side) design, which involves authoring HTML. Web design and web engineering partially overlap within the broader context of web development.

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What are materials engineers trying to discover when they study different materials? Whether or not materials corrode and oxidize how materials perform and deteriorate if certain materials have been used in the past and at which historical ages which metals conduct heat

Answers

Answer:

Material engineers study various materials to discover the reason and cause of its existence, the chemical properties, how long it has been there, and how it impacts human life.

Explanation:

Material engineer is an engineering discipline that focuses to improve human life by studying the environment and the various elements or materials it holds.

It uses the power of pure science to test and analysis its findings, documents its features and exposes them to the world. Materials like metals and other elemental forms were all tested by these engineers to determine its history and chemical and biological use.

Answer:

how materials perform and deteriorate

Explanation:

what could an oily dust spot on a condenser or evaporator coil indicate?A. a defective fan motor.
B. noncondensables in the system.
C. the presence of acid.
D. a refrigerant leak.

Answers

An oily dust spot on a condenser or evaporator coil can be an indication of non-condensables in the system.

What takes place if non-Condensables are still present in the system?

High head pressure and condensing temperature will arise from the system's non-condensables. High side pressure fluctuations may also be brought on by them. Higher compression ratios ultimately have a negative impact on cooling capacity and efficiency.

How do non-condensables in the system manifest themselves?

It is challenging to pinpoint the source of this issue in a system with non-condensables since it will have poor cooling and excessive humidity levels while appearing to be in regular operation. Suspect the presence of non-condensables if a system exhibits subcooling, superheat, and system pressures/temperatures that simply don't make sense.

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Technician A says that frequently overlooked items when conducting a Pre-Delivery Service
include the battery not fully charged, rubber body plugs not installed, and vehicle interior and/or
exterior not thoroughly clean.
Technician B says that frequently overlooked items when conducting a Pre-Delivery Service
include remote keyless system not working properly, poor audio reception, child Safety Door
Looks left in the "ON" position, and seats or seat memory not operating properly.
Who is right?

Answers

Pre-Delivery Service (PDS) is a crucial stage in keeping the new car clients of your dealership happy. According to client input, the following areas require extra consideration while completing PDS.

What is Pre delivery service?

Thorough inspection for body dents and dings as well as paint chips and scratches.  Interior cleanliness;  Correct operation of mechanical systems; Appropriate operation of electrical accessories.

Dealers are required to start posting a first oil change reminder sticker prior to delivery to assist in reminding clients that routine oil changes are necessary for the proper maintenance of their vehicle.

Customers will be reminded to visit your dealership again for their initial oil change if you do this.

Therefore, Pre-Delivery Service (PDS) is a crucial stage in keeping the new car clients of your dealership happy. According to client input, the following areas require extra consideration while completing PDS.

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two thin disks are connected to two slender rods, which are connected to a thin ring, as shown. determine the mass moment of inertia of the system about the axis perpendicular to the plane and passing through point a, then calculate the radius of gyration. the weight of the disks are 7 lb each, the rods are 1.5 lb each, and the ring is 2.75 lb. (5.34 slug-ft2, 2.95 ft)

Answers

Conduct penetration tests Attackers use the identical procedures as penetration testers, with the exception that they do not have permission to access the system.

Which of the following guarantees data access when user authorization is required?

Availability of data, Data accessibility refers to the ability of authorized people to access data. It offers reassurance that authorized users will always be able to access your system and data.

Is it a procedure by which users are given permission to access particular resources or data on systems and certain privileges?

Access control in computing is the method by which users are given permission to access systems, resources, or data as well as certain rights. Before being allowed access, users in access control systems must present credentials.

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If someone told you that a certain AC circuit was a capacitive, you would know that in that circuit the current

A) current and voltage are zero
B) leads the voltage
C) and voltage are in phrase
D) lags the voltage

Answers

Answer:

  B) leads the voltage

Explanation:

One way to think about it is that the current causes charge to be accumulated on the capacitor, changing its voltage. The current must be non-zero before the voltage can change. Hence current leads voltage.

List four examples of what an engineer does.

Answers

An engineer builds researches evaluates and redesigns

Think about how could you design, build, and test a light maze. What specific behavior of light will be essential to the success of your design It is due today

Answers

Answer:

Reflection

Explanation:

The specific behavior of light that will be essential to ensure the success of your design is "Reflection". This is because light maze makes use of a mirror and it's the light that is reflected that we see with our eyes. Also, the manner in which light is reflected off objects will affect the colors that are reflected as well.

If you are working with an extension ladder that has 15 rungs in each of the two sliding sections, this
is a__ -foot extension ladder.

Answers

If you are working with an extension ladder that has 15 rungs in each of the two sliding sections, this is a 30-foot extension ladder. It can be easily estimated by adding both lengths.

What is an extension ladder?

An extension ladder refers to a portable ladder that can be adjusted in its length and easily managed by the operator.

An extension ladder is very useful to climb up and/or down, thereby this tool should have vertical supports along its whole length in order to avoid accidents.

This type of ladder (extension ladder) may have different sections in order to reach a specific length during work.

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After x(t)=10.Sin(8000xt) signal is sampled at 5 times the Nyquist rate, the signal is quantized at 8 levels with a mid-range quantizer. Then the pulse code modulated (PCM) signal is obtained by coding. The obtained signal information is then transmitted by coding with the Differential Manchester line coding technique. Underline the PCM signal and the encoded signal for one period of the x(t) signal.

Answers

The PCM signal: 0110000001010000001010000001010000001010000001010000001010000001011 and the Encoded signal: 1101010010010100100101001001010010010100100101001001010010010100

What is PCM?
In order to represent sampled analogue signals digitally, one technique is pulse-code modulation (PCM). It serves as the industry standard for digital audio in applications such as digital telephony, compact discs, and computers. In a PCM stream, the amplitude of the analogue signal is compressed to the nearest value within a variety of online steps for each regular, uniformly spaced sample. A particular form of PCM called linear pulse-code modulation (LPCM) has linearly uniform quantization levels. In contrast, PCM encodings (such as those using the A-law or -law algorithms) have quantization levels that are dependent on amplitude. PCM is more general term, but it's frequently used to refer to data that has been encoded using LPCM.

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if a machine is rotating at 1800 rpm and synchronous speed is 1300 rpm determine if the machine is a generator or a motor by finding the slip.

Answers

Since the slip is negative (-0.3846), this indicates that the machine is operating as a generator, not a motor.

To determine whether the machine is a generator or a motor, we need to find the slip of the machine.
The formula for slip is:
Slip = (Synchronous speed - Actual speed) / Synchronous speed
In this case, the synchronous speed is 1300 rpm and the actual speed is 1800 rpm.
Slip = (1300 - 1800) / 1300
Slip = -0.38 or -38%
S = (Ns - Nr) / Ns
S = (1300 - 1800) / 1300
S = (-500) / 1300
S = -0.3846

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why is it difficult to dissolve cellulose in solvent that dissolve petroleum based polymers

Answers

The crystallinity of cellulose as well as its polar qualities makes it less difficult to dissolve. It has a three-dimensional hydrogen bond (H-bond) arrangement with the hydroxyl group connected to each polymer chain. On the other hand, Hydrocarbon polymers are nonpolar, and nonpolar solvents are used to dissolve them.

What exactly is cellulose?

Cellulose is an organic molecule with the formula n that is a polysaccharide made up of a linear chain of hundreds to thousands of β  linked D-glucose units. Cellulose is a structural component of the major cell wall of green plants, many algae, and oomycetes.

Cellulose is the principal component present in plant cell walls and aids in the plant's stiffness and strength. Although cellulose cannot be digested by humans, it is an essential source of fiber in the diet. Cellulose is utilized in the production of clothing and paper.

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which architectural best practices should be followed to reduce interdependencies between systems? aws

Answers

Loose Coupling. Loose coupling is a method of connecting system or network components so that they depend on one another as little as possible. These components are also known as elements.

What does "loose coupling" mean?Loose coupling is a method of connecting system or network components so that they depend on one another as little as possible. These components are also known as elements. The degree of direct knowledge that one element has about another is referred to as coupling.An architecture that achieves loose coupling offers a number of benefits, such as: Loosely connected services boost the evolvability, encourage various adjustments, and lead to new solutions, particularly in scenarios where the system must be able to adapt to environmental changes.A loosely linked system is one that has components that are weakly related (have breakable relationships) with one another, meaning that changes to one component have the least impact on the existence or functionality of another component.  

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will mark brainliest if correct
When a tractor is driving on a road, it must have a SMV sign prominently displayed.

True
False

Answers

Answer: true

Explanation:

Hot engine oil with heat capacity rate of 4440 w/k (product of mass flow rate and specific heat) and an inlet temperature of 150°c flows through a double pipe heat exchanger. the double pipe heat exchanger is constructed of a 1.5-m-long copper pipe (k = 250 w/m·k) with an inner tube of inside diameter 2 cm and outside tube diameter of 2.25 cm. the inner diameter of the outer tube of the double pipe heat exchanger is 6 cm. oil flowing at a rate of 2 kg/s through inner tube exits the heat exchanger at a temperature of 50°c. the cold fluid, i. e., water enters the heat exchanger at 20°c and exits at 70°c. assuming the fouling factor on the oil side and water side to be 0.00015 m2 ·k/w and 0.0001 m2 ·k/w, respectively, determine the overall heat transfer coefficient on inner and outer surface of the copper tube.

Answers

Explanation:

fluid, i. e., water enters the heat exchanger at 20°c and exits at 70°c. assuming the fouling factor on the oil side and water side to be 0.00015 m2 ·k/w and 0.0001 m2 ·k/w, respectively, determine the overall heat transfer coefficient on inner and outer surface of the copper tube.xgjicbb .follow me

Computers designed using the von Neumann Architectures have two buses: one for data and one for instructions

Answers

It should be noted that the computers designed using the von Neumann Architectures do not have two buses. Therefore, the statement is false.

Von-Neumann Architecture

It should be noted that Von-Neumann Architecture is made of three major bus systems for data transfer.

The Address Bus carries the address of data between the processor and the memory.

The Data Bus carries data between the processor, the memory unit, and the input or output devices.

The Control Bus carries signals from the central processing unit.

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One pound of air in a cylinder-piston arrangement undergoes an adiabatic expansion from 200 psia to 50 psia. The initial volume is 4 ft3/lbm. The process is such that PV1.4 is constant. Find the work done and the change in internal energy and temperature of the gas.

Answers

When air undergoes adiabatic expansion, the process is governed by the equation PV^γ = constant, where γ is the ratio of specific heats. In this case, the value of γ for air is 1.4. We are given that one pound of air undergoes an adiabatic expansion from 200 psia to 50 psia, with an initial volume of 4 ft3/lbm and PV^1.4 = constant.

Let's calculate the final volume of the air using the initial and final pressures and the initial volume. Using the formula P1V1^γ = P2V2^γ and substituting the given values, we have: 200(4)^1.4 = 50(V2)^1.4V2 = (200(4)^1.4 / 50)^(1/1.4)V2 = 11.14 ft^3/lbmThe work done by the air is given by the equation W = ∆E + Q, where ∆E is the change in internal energy and Q is the heat added to or removed from the system. Since the process is adiabatic (Q = 0), the work done is equal to the change in internal energy. Let's calculate the work done:W = ∆E = C_v (T2 - T1)where C_v is the specific heat at constant volume, and T1 and T2 are the initial and final temperatures, respectively. The specific heat at constant volume for air is 0.1715 Btu/lbm·R. Let's calculate the final temperature of the air using the initial and final pressures and volumes and the equation P1V1^γ/T1 = P2V2^γ/T2.200(4)^1.4/T1 = 50(11.14)^1.4/T2T2 = T1 * (P2V2^γ / P1V1^γ)T2 = 1183.3 RLet's substitute the values into the equation for work done to get:W = C_v (T2 - T1)W = 0.1715 Btu/lbm·R (1183.3 R - 527.7 R)W = 0.1715 Btu/lbm·R (655.6 R)W = 112.3 Btu/lbmThe change in internal energy is also 112.3 Btu/lbm, since Q = 0. The change in temperature is T2 - T1 = 1183.3 R - 527.7 R = 655.6 R.Answer: The work done by the air is 112.3 Btu/lbm, and the change in internal energy and temperature of the gas are also 112.3 Btu/lbm and 655.6 R, respectively.

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Prepare a summary of minerals based on their importance to the naming of the rock include: Mineral, Formula, Rock and use.

Answers

mineral is a naturally occurring inorganic solid. It has a definite composition and crystal structure. The atoms in minerals are arranged in regular, repeating patterns. These patterns are responsible for a mineral's physical properties.

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The Intolerable Acts was an American term for the laws passed by the British Parliament in 1774 in response to which of the following events? A. Boston Tea Party B. Boston Massacre C. Declaration of Independence D. Thomas Paine's Common Sense Kazakhstan state language is According to the Declaration, governments exist in order to do what? According to many, the digital world is being divided into haves and have nots between those that have access and can use a computer and the Internet, and those that do not have such access. Some believe that this creates serious ethical implications and that there is a moral obligation to do something about the disparity; the have nots may well feel discriminated against or feel socially excluded and are missing out on many life opportunities. Do you feel that everyone everywhere should have access to computers and the Internet, regardless of location, need, competency, or ability to pay? If yes, who should provide the services and education and who should pick up the tab? If no, explain why not everyone needs access to the Internet. Find each exact value. Use a sum or difference identity. sin 75 What 3 things increase CO2 in the atmosphere? I need the answers asap Please Please help ASAP will give BRAINLEIST The center on the basketball team scored 19 of the team's 100 points. What percent of the points did he score? Is this statement true or false? Most metals in the chart react withoxygen. What are three symbols in the book the hunger games that describe Katnoss Everdeen? find the point p such that v=pq has the components 1.25,12,4. q=(8.25,7,6) Distributive property3(2x y) Mr. Edwards went to Six Flags and brought $50. He spent $20 on a souvenir and $10 on food. The rest was spent on a refillable drink at $2.50 per refill. How many refills did Mr. Edwards purchase? book value per share:multiple choicereflects the value per share if a company is liquidated at balance sheet amounts.is assets divided by equity.is assets divided by the number of common shares outstanding.measures the current market value assets. The supply and demand for soda in a market is represented by Q 120-10P; Q = 50P, where Q is in millions of bottles per year and P is dollars per bottle. The current equilibrium price is $2, and 100 million bottles are sold per year. Calculate the share of a tax that will be borne by consumers and the share borne by producers. If a tax of $0.50 per bottle is created, what is the size of deadweight loss? A piece of aluminum with a mass of 1.0 kg and a density of 2700 kg/m3 is suspended from a string and then completely immersed in a container of water. The density of water is 1000 kg/m3.Determine the volume of the piece of aluminum. = 3.7 x 10 -4 m^3Determine the tension in the string after the metal is immersed in the container of water. = 6.2 N 300 (1 - 0.25)to the power of t. what is the decay factor? TRUE/FALSE. the slave population in the south shrank between 1790 and 1830 due to rising abolitionist sentiments and the end of the international slave trade. suppose you are producing an outdoor festival. you estimate that you will make $100000 if it does not rain and make $50000 if it does rain. the weather bureau predicts that the chance of rain is 25% for the day of the concert. what are your expected earnings for the festival? this year 500 pounds of plutonium 239 (nuclear waste) was dumped in the nevada desert. the half-life of pu-239 is 24,360 years. how long will it take until there is only 1 pound left? What is anan equation for the line parallel toy = -x + 7 that passes through (7, -2)?