A horizontal piston/cylinder arrangement is placed in a constant-temperature bath. The piston sides in the cylinder with negligible friction and an external force holds it in place against an initial gas pressure of 14 bar. The initial gas volume is 0.03 m3. The external fore on the piston is reduced gradually and the gas expands isothermally as its volume triples. If the volume of the gas is related to its pressure so that the product PV is constant.
(a) What is the work by the gas in moving the external force?
(b) How much work would be done if the external force were suddenly reduced to half its initial value instead of being gradually
reduced?

Answers

Answer 1

Answer:

[tex]W=46141.72~J[/tex]

Explanation:

Given:

initial pressure, [tex]P_1=14~bar=1.4\times10^6~Pa[/tex]

initial volume, [tex]V_1=0.03~m^3[/tex]

After isothermal expansion:

final volume, [tex]V_2=3V_1=0.09~m^3[/tex]

a)

We have the work done in isothermal process as:

[tex]W=P_1.V_1\ln(\frac{V_2}{V_1} )[/tex]

[tex]W=1.4\times10^6\times 0.03\ln(\frac{0.09}{0.03} )[/tex]

[tex]W=46141.72~J[/tex] is the work by the gas in moving the external force

b)

When the force on piston is suddenly reduced to half the initial value then the process becomes near to adiabatic.

[tex]P_1V_1^{\gamma}=P_2V_2^{\gamma}[/tex]

[tex]14\times 0.03^{1.4}=P_2\times 0.09^{1.4}[/tex]

[tex]P_2=3~bar[/tex]

Now, using the formula for work done in adiabatic process:

[tex]W=\frac{P_1V_1-P_2V_2}{\gamma-1}[/tex]

[tex]W=\frac{1.4\times10^6\times 0.03-3\times10^5\times 0.09}{1.4-1}[/tex]

[tex]W=3750~J[/tex]


Related Questions

Build a 3-input XOR gate using a 3x8 decoder and an Or gate.please Quickly i have final​

Answers

Answer:

Take a 3 to 8 decoder with active low outputs

Assuming you are familiar with the functioning of decoders,

The three inputs of decoder of course are the first, second and the carry bit which you feed to the subtractor.

Next we examine the truth table of the full subtractor i formatted in the picture.

Then write the minterms for the difference output and borrow output from the given truth table picture I have mentioned before!!

Explanation:

hopi it to help you!!

I have 50 kVA delta-wye transformer with 3 single phases secondary (line-neutral) delivered to 3 houses, So if one of the 3 houses drown more power would that affect another 2 houses, or each phase can only handle certain amount of power separately?

Answers

Answer:

tie es que sumar restar y multiplicar

Explanation:

espero que sea así

You can do it by having the amount

Ferrous metals contain ____ (ferrite) so most have ________ properties. Ferrous metals are vulnerable to _____ when exposed to_______, except for ____________ and wrought iron.​ ​

Answers

Answer:

Iron

Magnetic properties

Rust

Moisture

Stainless steel

Explanation:

Ferrous materials are those that contain iron. Now iron is a magnetic material and this makes ferrous materials to possess magnetic properties.

Since they contain iron, when they are exposed to moisture they react with oxygen in oxidation to form iron oxide which is reddish and gets worse over time which forms a rusty surface.

- Apart from Wrought iron that resists corrosion,another ferrous metal that does that is Stainless steel because it contains chromium, which is an element that protects it from rust.

What is FOLLOWING PROCEDURES

Answers

Answer:

When employees follow procedures, they perform tasks correctly and provide consistent customer service. This enhances the quality of your organization's products and services. And, in turn, improves your company's reputation. Employees can know they are fulfilling their roles and take pride in their work.

In a creep test, increasing the temperature will (choose the best answer) A. increase the instantaneous initial deformation B. increase the steady-state creep rate

Answers

Answer:

All of the above

Explanation:

firstly, a creep can be explained as the gradual deformation of a material over a time period. This occurs at a fixed load with the temperature the same or more than the recrystallization temperature.

Once the material gets loaded, the instantaneous creep would start off and it is close to electric strain. in the primary creep area, the rate of the strain falls as the material hardens. in the secondary area, a balance between the hardening and recrystallization occurs. The material would get to be fractured hen recrstallization happens.  As temperature is raised the recrystallization gets to be more.

Find Ic(t),
If Vs(t)=8sin(4t+180°) V
3
د3
lic
62.5met
O 2.5cos(4t+53.1) A
O scos(4x+53.1°) A
O 2.5cos(4t+143°) A
Oscos(4t+143) A

Answers

Answer:

the answer is equal to 2.5cos(4t +53.1)

An air-conditioning system is used to maintain a house at 70^\circ{} ∘ F when the temperature outside is 100^\circ{} ∘ F. The house is gaining heat through the walls and the windows at a rate of 800 Btu/min, and the heat generation rate within the house from people, lights, and appliances amounts to 100 Btu/min. Determine the minimum power input required for this air-conditioning system. Answer: 1.20 hp

Answers

Answer:

the minimum power input required for this air-conditioning system is 1.20 hp

Explanation:

Given the data in the question;

Temperature inside ( Sink ) T[tex]_L[/tex] = 70°F = ( 70 + 460 )R = 530 R

temperature outside ( source )T[tex]_H[/tex] = 100°F = ( 100 + 460 )R = 560 R

[tex]Q_W[/tex] = 800 Btu/min

[tex]Q_L[/tex] = 100  Btu/min

Now, from the equation of coefficient of performance of refrigerator;

[tex]COP_{Ref[/tex] = Desired output / Required input

[tex]COP_{Ref[/tex] = [tex]Q_{out[/tex] / [tex]W_{net[/tex] --------- let this be equation 1

[tex]COP_{Ref[/tex] = ( [tex]Q_L + Q_W[/tex] ) / [tex]W_{net[/tex]

where [tex]Q_W[/tex] is the rate heat gained through the wall

[tex]Q_L[/tex] is the heat generation from people and lights and appliances.

Now, lets consider the equation coefficient of performance of refrigerator in terms of temperatures;

[tex]COP_{Ref[/tex] = [tex]T_L[/tex] / ( [tex]T_H[/tex] - [tex]T_L[/tex] )

we substitute

[tex]COP_{Ref[/tex] = 530 / ( 560 - 530 )

[tex]COP_{Ref[/tex] = 530 / 30

[tex]COP_{Ref[/tex] = 17.667

so we substitute into equation 1;

[tex]COP_{Ref[/tex] = [tex]Q_{out[/tex] / [tex]W_{net[/tex] ---------

[tex]COP_{Ref[/tex] = ( [tex]Q_L + Q_W[/tex] ) / [tex]W_{net[/tex]

17.667 = ( 100 + 800 ) / [tex]W_{net[/tex]

17.667 = 900 / [tex]W_{net[/tex]

[tex]W_{net[/tex] = 900 / 17.667

[tex]W_{net[/tex] = 50.94 Btu/min

[tex]W_{net[/tex] = ( 50.94 / 42.53 ) hp

[tex]W_{net[/tex] = 1.198 hp ≈ 1.20 hp

Therefore, the minimum power input required for this air-conditioning system is 1.20 hp

Air enters an adiabatic gas turbine at 1590 oF, 40 psia and leaves at 15 psia. The turbine efficiency is 80%, and the mass flow rate is 2500 lbm/hr. Determines:
a) The work produced, hp.
b) The exit temperature, oF.

Answers

Answer:

a) 158.4 HP.

b) 1235.6 °F.

Explanation:

Hello there!

In this case, according to the given information, it turns out possible for us to set up an energy balance for the turbine's inlets and outlets:

[tex]m_{in}h_{in}=W_{out}+m_{out}h_{out}[/tex]

Whereas the mass flow is just the same, which means we have:

[tex]W_{out}=m_{out}(h_{out}-h_{in})[/tex]

And the enthalpy and entropy of the inlet stream is obtained from steam tables:

[tex]h_{in}=1860.7BTU/lbm\\\\s_{in}= 2.2096BTU/lbm-R[/tex]

Now, since we assume the 80% accounts for the isentropic efficiency for this adiabatic gas turbine, we assume the entropy is constant so that:

[tex]s_{out}= 2.2096BTU/lbm-R[/tex]

Which means we can find the temperature at which this entropy is exhibited at 15 psia, which gives values of temperature of 1200 °F (s=2.1986 BTU/lbm-K) and 1400 °F (s=2.2604 BTU/lbm-K), and thus, we interpolate for s=2.2096 to obtain a temperature of 1235.6 °F.

Moreover, the enthalpy at the turbine's outlet can be also interpolated by knowing that at 1200 °F h=1639.8 BTU/lbm and at 1400 °F h=174.5 BTU/lbm, to obtain:

[tex]h_{out}=1659.15BUT/lbm[/tex]

Then, the isentropic work (negative due to convention) is:

[tex]W_{out}=2500lbm/h(1659.15BUT/lbm-1860.7BUT/lbm)\\\\W_{out}=-503,875BTU[/tex]

And the real produced work is:

[tex]W_{real}=0.8*-503875BTU\\\\W_{real}=-403100BTU[/tex]

Finally, in horsepower:

[tex]W_{real}=-403100BTU/hr*\frac{1HP}{2544.4336BTU/hr} \\\\W_{real}=158.4HP[/tex]

Regards!

explain the term electric current as used in engineering principles​

Answers

Answer:

Electric current is the movement of electrons through a wire. Electric current is measured in amperes (amps) and refers to the number of charges that move through the wire per second. If we want current to flow directly from one point to another, we should use a wire that has as little resistance as possible.Current is directly proportional to voltage, inversely proportional to resistance. One of the most common electrical measurements you'll use is the watt, a unit of electrical power: W (Watts) = E (Volts) x I (Amperes). The quantity of electric charge is measured in coulombs.They can even pass through bones and teeth. This makes gamma rays very dangerous. They can destroy living cells, produce gene mutations, and cause cancer.

Explanation:

hey mate this is the best answer if you're studying engineering!

List five technology tools with respect to I.C.T
stating
their respective use.​

Answers

Answer:

laptop printer scanner data

printer,laptop,scanner data, and data base acesa

Find the value of L
I= 1.52-30A
Vcoil
+
225LO V
50 HZ
sout I VE
O 0.441 H
0 0.33 Н
O 0.451 H
O 0.562 H

Answers

Answer:

the value is 356732 Volt

Consider a 6-bit cyclic redundancy check (CRC) generator, G = 100101, and suppose that D = 1000100100. 1. What is the value of R? (10 pts)

Answers

Answer:

The value of R is 10101

Explanation:

As per the given data

D = 1000100100

G = 100101

Redundant bit = 6-bits - 1-bit = 5-bits

No add fice zero to D

D = 100010010000000

Now calculate R as follow

R = D / G

R = 100010010000000 / 100101

R = 10101

Workings are attached with this question

Karen just checked her bank balance and the balance was 1111.11. She is kind of freaking out and saved the receipt, thinking that it must mean something. Karen is probably just suffering from

Answers

Answer:

chronic stoner syndrome

Explanation:

"the universe just sends us messages sometimes mannnn, you just have to be ready to listen to them" lol

affect the amount and rate the alcohol reaches the
bloodstream.

Answers

Answer:

Answer to the following question is as follows;

Explanation:

The amount of alcohol consumption can be influenced by a variety of things, including food.

The proportion and pace at which alcohol reaches the circulation is affected by drinking rate, body mass, and the size of the beverage. Alcohol enters your system as soon as it reaches that first sip, as per the National Institute on Drug Abuse and Alcoholism. After 10 minutes, the results are noticeable.

Some_____
include peanut butter, bacon, and chocolate.
Snap traps baits
Glue boards
Catchalls
IGRs
Bait stations

Answers

Answer:

it’s IGS

Explanation:

because i read

Answer:

snap trap baits

Explanation: its kind of obvi, but i took the test and got it right.

Two steel plates are to be held together by means of 16-mm-diameter high-strength steel bolts fitting snugly inside cylindrical brass spacers. Knowing that the average normal stress must not exceed 210 MPa in the bolts and 145 MPa in the spacers, determine the outer diameter of the spacers that yields the most economical and safe design.

Answers

Answer:

The outer diameter of the spacers that yields the most economical and safe design is 25.03 mm

Explanation:

For steel bolt

Stress = 210 MPa or 210 N/mm2

Pressure = Stress* Area

Pbolt = 210 N/mm2 * 16^2 *(pi)/4

Pbolt = 210 N/mm2 * 200.96 mm^2 = 42201.6  N

For Brass spacer

Pressure = 42201.6  N

Area of Brass spacer = Pressure/Stress

Area of Brass spacer = 42201.6  N/145 N/mm^2 = 291.044 mm^2

Area of Brass spacer = (pi) (d^2 - 16^2)/4 =  291.044 mm^2

d^2 - 16^2 = 291.044 mm^2* 4/(pi) = 370.758

d^2 =  370.758 + 16^2

d^2 =   626.758

d = 25.03 mm

The outer diameter of the spacers that yields the most economical and safe design is 25.03 mm

A fluid at 300 K flows through a long, thin-walled pipe of 0.2-m diameter. The pipe is enclosed in a concrete casing that is of square cross section (1 m x 1 m). The axis of the pipe is centered in the casing. The outer surfaces of the casing are maintained at 500 K. Calculate the heat loss per 1m length of the pipe. Please make sure to follow the rules required for all homework assignments.

Answers

Answer:

The correct answer is "1341.288 W/m".

Explanation:

Given that:

T₁ = 300 K

T₂ = 500 K

Diameter,

d = 0.2 m

Length,

l = 1 m

As we know,

The shape factor will be:

⇒ [tex]SF=\frac{2 \pi l}{ln[\frac{1.08 b }{d} ]}[/tex]

By putting the value, we get

⇒       [tex]=\frac{2 \pi l}{ln[\frac{1.08\times 1}{0.2} ]}[/tex]

⇒       [tex]=3.7258 \ l[/tex]

hence,

The heat loss will be:

⇒ [tex]Q=SF\times K(T_2-T_1)[/tex]

       [tex]=3.7258\times 1\times 1.8\times (500-300)[/tex]

       [tex]=3.7258\times 1.8\times (200)[/tex]

       [tex]=1341.288 \ W/m[/tex]

Determine the following parameters for the water having quality x=0.7 at 200 kPa:
a) the phase
compressed liquid
superheated vapor
saturated liquid
saturated vapor
saturated mixture
b) temperature (in °C)
c) specific volume, in m3/kg
d) specific energy, in kJ/kg
e) specific enthalpy, in kJ/kg
f) What is the enthalpy of 500 g of water (in kJ)?

Answers

Solution :

Given :

Water have quality x = 0.7 (dryness fraction) at around pressure of 200 kPa

The phase diagram is provided below.

a). The phase is a standard mixture.

b). At pressure, p = 200 kPa, T = [tex]$T_{saturated}$[/tex]

   Temperature = 120.21°C

c). Specific volume

  [tex]$v_{f}= 0.001061, \ \ v_g=0.88578 \ m^3/kg$[/tex]

  [tex]$v_x=v_f+x(v_g-v_f)$[/tex]

       [tex]$=0.001061+0.7(0.88578-0.001061)$[/tex]

       [tex]$=0.62036 \ m^3/kg$[/tex]

d). Specific energy ([tex]u_x[/tex])

    [tex]$u_f=504.5 \ kJ/kg, \ \ u_{fg}=2024.6 \ kJ/kg$[/tex]

   [tex]$u_x=504.5 + 0.7(2024.6)$[/tex]

         [tex]$=1921.72 \ kJ/kg$[/tex]

e). Specific enthalpy [tex]$(h_x)$[/tex]

   At [tex]$h_f = 504.71, \ \ h_{fg} = 2201.6$[/tex]

   [tex]h_x=504.71+(0.7\times 2201.6)[/tex]

        [tex]$= 2045.83 \ kJ/kg$[/tex]

f). Enthalpy at m = 0.5 kg

  [tex]$H=mh_x$[/tex]

       [tex]$= 0.5 \times 2045.83$[/tex]

       = 1022.91 kJ

Mr. Ray deposited $200,000 in the Old and Third National Bank. If the bank pays 8% interest, how much will he have in the account at the end of 10 years?

Answers

Answer:

2,160,000

Explanation:

8/100 × 200000/1 = 8/1 × 2000/1

2000 × 8 = 16,000 = interest

200,000 + 16,000 = 216,000

216,000 × 10 = 2,160,000 = amount in bank account

Find the dryness fraction, specific volume and internal energy of steam at 7bar nd enthalpy 2600kj/kh. (0.921,0.2515m³/kg , 2420kj/kg)

Answers

Answer:

hdwhifniuewohfoyyhyeiudhwbwuxvgusvfgcvxg

Explanation:

(1) Estimate the specific volume in cm3 /g for carbon dioxide at 310 K and (a) 8 bar (b) 75 bar by the virial equation and compare to the experimental values of 70.58 and 3.90, respectively.
(2) Estimate the specific volume in cm3/g for carbon dioxide at 310 K and (a) 8 bar (b) 75 bar by the compressibility factor charts and compare to the experimental values2 of 70.58 and 3.90, respectively.

Answers

Answer:

70.66 cm^3

The specific volume for P = 70.66  is within 1% of the experimental value while the viral equation will be inaccurate when the second viral coefficient is used )

Explanation:

Viral equation : Z = 1 + Bp + Cp^2 + Dp^3 + -----

Viral equation can also be rewritten as :

Z = 1 + B ( P/RT )

B ( function of time )

Temperature = 310 K

P1 = 8 bar

P2 = 75 bar

Determine the specific volume in cm^3

V = 70.66 cm^3

b) comparing the specific volumes to the experimental values

70.58 and 3.90

The specific volume for P = 70.66  is within 1% of the experimental value while the viral equation will be inaccurate when the second viral coefficient is used )

attached below is the detailed solution

Air enters a two-stage compressor operating at steady state at 520ºR, 14 lbffin 2 The overall pressure ratio across the stages is 12 and each stage operates isentropically. Intercooling occurs at constant pressure at the value that minimizes compressor work input as determined in Example 9.10, with air exiting the intercooler at 520°R. Assuming ideal gas behavior, with k = 1.4. Determine the work per unit mass of air flowing for the two-stage compressor, in Btu per lb of air flowing.

Answers

Answer:

106.335 Btu/Ib

Explanation:

Given data :

T1 = 520°R = 288.89K

P1 = 14 Ibf/in^2  = 96526.6 pa

r = 12

k = 1.4

R = 287 J/kg-k

Calculate work done per unit mass of air flowing ( two-stage compressor )

we will apply the equation below

W = 2k / K-1 * ( RT₁ ) * [tex][ r^{\frac{k-1}{2k} } - 1 ][/tex]

input values into equation above

W = 247.336 KJ/kg  = 106.335 Btu/Ib

Tensile testing provides engineers with the ability to verify and establish material properties related to a specific material.

a. True
b. False

Answers

Answer:

True

Explanation:

Tensile testing which is also referred to as tension testing is a process which materials are subjected to so as to know how well it can be stretched before it reaches breaking point. Hence, the statement in the question is true

what is the difference between a series circuit and a parallel circuit?

Answers

Answer:

In a parallel circuit, the voltage across each of the components is the same, and the total current is the sum of the currents flowing through each component. ... In a series circuit, every device must function for the circuit to be complete. If one bulb burns out in a series circuit, the entire circuit is broken.

Explanation:

A closed, rigid tank is filled with a gas modeled as an ideal gas, initially at 27°C and gauge pressure of 300 kPa. The gas is heated, and the gauge pressure at the final state is 367 kPa. Determine the final temperature, in °C. The local atmospheric pressure is 1 atm.

Answers

Answer:

the final temperature is 77.1 °C

Explanation:

Given the data in the question;

Initial temperature; T₁ = 27°C = ( 27 + 273)K = 300 K

Initial absolute pressure P₁ = 300 kPa = ( 300 + 101.325 )kPa = 401.325 kPa

Final absolute pressure P₂ = 367 kPa = ( 367 + 101.325 )kPa = 468.325 kPa

Now, to calculate the final temperature, we use the ideal gas equation;

P₁V/T₁ = P₂V/T₂

but it is mentioned that the rigid tank is closed,

so the volume is the same both before and after.

Change in volume = 0

hence;

P₁/T₁ = P₂/T₂

we substitute

401.325 kPa / 300 K = 468.325 kPa / T₂

T₂ × 401.325 kPa  = 300 K × 468.325 kPa

T₂ = [ 300 K × 468.325 kPa ] / 401.325 kPa

T₂ = 140497.5 K / 401.325

T₂ =  350.08 K

T₂ = ( 350.08 - 273 ) °C

T₂ = 77.1 °C

Therefore, the final temperature is 77.1 °C

An electrical contractor employs 16 people. Five people earn $15 per hour, four people earn $17 per hour, and the remaining people earn $16 per hour. What is the total hourly wage earned by all 16 people

Answers

Answer:

$255 per hour

Explanation:

Total number of employed people = 16

(i) 5 people earn $15 per hour

That means that the total amount earned by those 5 is;

5 x $15 = $75 per hour

(ii) 4 people earn $17 per hour

That means that the total amount earned by those 4 is;

4 x $17 = $68 per hour

(iii) The remaining people earn $16 per hour.

There are 7 people remaining. i.e

16 - 5 - 4 = 7

That means that the total amount earned by those remaining (7) is;

7 x $16 = $112 per hour

The total hourly wage is therefore the sum of all the results in i, ii and iii. i.e

Total = $75 + $68 + $112

Total = $255

Therefore, the total hourly wage earned by all 16 people is $255

A 5 MHz clock that generates a 0 to 5V pulse train with a 30% duty cycle is connected to input X of a two input OR gate that has a 20nS propagation delay. The clock also goes to an inverter with a 10ns propagation delay. The output of the inverter goes to the Y input of the OR gate.

a. Draw the circuit
b. Plot the output of the clock for two cycles. Show times and voltages.
c. Plot the output of the inverter in the same plot. Show times and voltages.
d. Plot the output of the OR gate in the same plot. Show times and voltages.

Answers

Answer:

Timing Diagrams 15 pts. A 10 MHz clock that generates a 0 to 5V pulse train with a 30% duty cycle is connected to input X of a two input OR gate that has a 20nS propagation delay. The clock also goes to an inverter with a 10 ns propagation delay. The output of the inverter goes to the Y input of the OR gate. a) Draw the circuit. 2 pts. b) Plot the output of the clock for two cycles. Show times and voltages. 5 pts. c) On the same page as part (b) plot the output of the inverter. Show times and voltages. 3 pts. d) On the same page as parts (b & c) plot the output of the OR gate. Show times and voltages. 5 pts.

froce and motion worksheet

Answers

Answer:

The following description of the problem is provided.

Explanation:

If somehow the system seems to be in movement it'll still relax, and it becomes moving whether it sits. An externality is a cost, that either affects or threatens that can modify the bodily condition.The phenomenon of anything changing their position, altering or completely replacing. Whenever moment anything keeps moving, several components are found.

For automobile engines, identify the best choice of motor oil.
A. High viscosity for Maine in the winter and low viscosity for Florida in the summer.
B. Low viscosity for Maine in the winter and low viscosity for Florida in the summer.
C. Low viscosity for Maine in the winter and high viscosity for Florida in the summer.
D. High viscosity for Maine in the winter and high viscosity for Florida in the summer.
E. It does not matter what the rating is for the motor oil.

Answers

Answer:

C. Low viscosity for Maine in the winter and high viscosity for Florida in the summer.

Explanation:

The choice of motor oil or engine oil depends on the type of engine and also on the type of climate on which the engine runs.

In winter climates, we should use oil with low viscosity as at lower temperatures, the it flows more readily if its viscosity is low.

But the summer season needs a relatively thicker oil so as to reduce the thinning effect of the oil out of the engine.

Thus for Maine in the winter season, we need a low viscosity oil and for Florida a high viscosity oil in the summer season.

Therefore, option (c) is correct.

Please help!!!!! Thank u

Answers

Answer:

which class is this. I don't know sry

Other Questions
These maps illustrate that between 1948-1967, Israel:significantly expanded its territory.spread communism throughout the Middle East.seized control of strategic oil reserves.All of the choices are correct. Read this excerpt from the poem "Monet's Waterlilies'" by Robert Hayden. Here space and time exist in light the eye like the eye of faith believes. The seen, the known dissolve in iridescence, become illusive flesh of light that was not, was, forever is. O light beheld as through refracting tears. Here is the aura of that world each of us has lost. Here is the shadow of its joy. What is the best evidence that this poem is written in free verse? It has two stanzas. It has no set meter. It uses alliteration. It has no repeating words. Describe one factor of EACH consequence of WW2:1) Economic:2) Social:3)Political: can someone explain the answer. Which statement best describes the logical fallacy used in this passage?O A. The author uses a hasty generalization by assuming that office workersare depressed and need kittens.O B. The author uses circular reasoning to justify the assumption that peoplewould want to adopt kittens.O c. The author displays a lack of logic by failing to provide statistics aboutthe overall happiness of office workers.O D. The author uses a non sequitur by concluding that someone would wantto adopt a kitten after petting it. The location NASA in the city of Houston has impacted the state by A- Threatening the state's economy and providing a large number of jobs. B- Providing a large number of jobs, but threatening the environment.C- Adding to the state's economy and providing a large number of jobs. D- Providing some new jobs, but little to the economy of the state. pls help Define and describe Gender based violance Choose the best description of a tessellation.1. a design of repeating shapes with many gaps2. a design of repeating shapes3. a design of many different shapes4. a design of repeating shapes that do not overlap; there are no gaps This is my last question I need to do whats the answer The measure of angle ABC is 36 1st answerStep-by-step explanation:Let us revise some important facts in the circleThe measure of the center angle is equal to the measure of its subtended arcThe measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arcThe vertex of a central angle is the center of the circle and its sides are radii in the circleThe vertex of an inscribed angle is a point on the circle, and its sides are chords in the circleIn circle D D is the center of the circle A and C lie on the circle- DA and DC are radii ADC is a central angle subtended by arc AC mADC = m of arc AC mADC = (7x + 2) m of arc AC = (8x - 8)- Equate them to find x 8x - 8 = 7x + 2- subtract 7x from both sides x - 8 = 2- Add 8 to both sides x = 10Substitute the value of x in the measure of ADC mADC = 7(10) + 2 = 70 + 2 mADC = 72 AB and BC are two chords in circle D ABC is an inscribed angle subtended by arc AC ADC is a central angle subtended by arc AC- By using the 2nd fact above mABC = mADC mABC = 72 mABC = 36 How many people are in Siver, on the game Valorant? please assign each of the subjects their specific duties they are to perform at the carnival.Example: Angie (tener)Answer: Angie ten las frutas listas en el puesto. 1. Juan y Ana (dar)2. Rodrigo (decir)3. Ustedes (hacer)4. Sra. Gonzales (ir)5. Maestro (sal)6. Elisa (poner) Help me plsthis is very important 9. She received a B on her English paper because she forgot to ________ her sources. 131211109.2234567 89 10 111213Which point represents the outlier in the scatter plot?OA (2,4)OB. (5, 10)OC. (9, 10)OD. (10,9) Will give BRAINLIEST The adjacent sides of a rectangle are (2x 1) and (x + 5). Find its area. Use the maps to answer the questions that follow.Held by breater the Six Day WarLebanonSyriaGolaHeightsFUNDE PATEMediterranean SeaWestBankGatastripJordanSinalPeninsulacut of SuezEgyptSaudiArabia23SusTre was sy WideRed SeaLine NCC BOATSQuestion 32 of 50The map on the left shows:the original U.N. partition plan of the Palestinian MandateIsraeli troop movements during the 1948 Arab-Israeli War.sources of oil in the Middle East.suspected nuclear facilities in Iraq, Growing tobacco was important to Virginia because Which of the following IS NOT done by Digital Artists? Select one.. Animator B. Audio EngineerC. House Painter