a driver brings a car to a full stop in 2.0 s. if the car was initially traveling at 22 m/s, what is the acceleration?

Answers

Answer 1

Answer:-11m/s^2

Explanation:


Related Questions

Give any one (1) properties of an electric charge and explain. How many electrons are transferred to a body to charge it to -7C?

Answers

One property of an electric charge is that it can either be positive or negative. Electric charges are carried by elementary particles, such as electrons or protons.

To determine the number of electrons transferred to charge a body to -7C, we need to know the charge of a single electron. The elementary charge, denoted as "e," is approximately equal to 1.6 x 10^-19 coulombs (C).

Given that the desired charge is -7C, we can calculate the number of electrons using the following equation:

Number of electrons = Charge / Elementary charge

Number of electrons = -7C / (1.6 x 10^-19 C)

Calculating this, we get:

Number of electrons = -7 / (1.6 x 10^-19) ≈ -4.375 x 10^19 electrons

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PLEASE HELP
If the change in energy of an object is 50J, the work done on the object is 

Answers

Answer:

Explanation: Since work done is= to energy lost,the work done on this object will also be 50J...

A long solenoid with cross-sectional area 4. 00 cm 2 and 965 turns per meter is oriented with its axis along the z-axis. The field inside the solenoid points in the +z-direction. A wire loop of radius 5. 00 cm is around the solenoid, parallel with its coils, centered on the axis of the solenoid, and lying in the xy-plane. Find the rate of change of the current in the solenoid if the electric field in the loop at the point x=5. 00cm,y=0,z=0x=5. 00 cm,y=0,z=0 is e→=(−1. 80×10−5V/m)ȷ^E=(−1. 80×10 −5V/m) ^

Answers

The  rate of change of the current in the solenoid is:

(dI/dt) = emf / R = (-1.81 × 10^-5 V) / R

The emf induced in the wire loop is given by the equation:

emf = -N * (dΦ/dt)

where N is the number of turns in the loop, Φ is the magnetic flux through the loop, and t is the time.

The magnetic flux through the loop can be calculated using the equation:

Φ = B * A

where B is the magnetic field inside the solenoid, and A is the area of the loop.

Since the wire loop is parallel with the coils of the solenoid, the magnetic field inside the solenoid is uniform and given by the equation:

B = μ0 * n * I

where μ0 is the permeability of free space, n is the number of turns per unit length of the solenoid, and I is the current in the solenoid.

Substituting the values given in the problem, we have:

B = (4π × 10^-7 T·m/A) * (965 turns/m) * I = 3.68 × 10^-3 I T

A = π * (0.05 m)^2 = 7.85 × 10^-3 m^2

Φ = B * A = 2.89 × 10^-5 I Wb

Substituting the given values of emf and Φ, we have:

-1.80 × 10^-5 V/m = -965 * (dΦ/dt)

Solving for dΦ/dt, we get:

dΦ/dt = 1.87 × 10^-8 Wb/s

Finally, substituting the value of dΦ/dt in the equation for emf, we get:

emf = -N * (dΦ/dt) = -965 * (1.87 × 10^-8 Wb/s) = -1.81 × 10^-5 V

Therefore, the rate of change of the current in the solenoid is:

(dI/dt) = emf / R = (-1.81 × 10^-5 V) / R

where R is the resistance of the wire loop. The resistance is not given in the problem, so a numerical answer cannot be provided.

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Bumper car A (331 kg) moving east at 3.87 m/s hit stationary car B (208 kg). After, the car A moves .88 m/s east. What is the velocity of car B?

Answers

Answer:

Ub = 221.99m/s

Explanation:

(Ma x Ua)+(Mb x Ub) = (Ma + Mb)V

(331 x 3.87)+(208 x Ub) = (331 + 208)88

(1257.8) + (208 x Ub) = 47432

(208 x Ub) = 47432 - 1257.8

(208 x Ub) = 46174.2

Ub = 46174.2/208 = 221.99m/s

Ub = 221.99m/s

Answer:

4.75

Explanation:

M1V1 + M2V2 = M1V3 + M2V4

[(331*3.87) , 90°] + 0 = [(331*0.888) , 90°] + M2V4

M2V4 = 987.042 , 90°

divide through by M2

V4 = 4.75 m/s east

the eden alternative, pioneer network and green house are all long term care facility program that encourage __________.

Answers

The Eden Alternative, Pioneer Network, and Green House are all long-term care facility programs that encourage person-centered care and a more home-like environment.

These programs promote a shift away from traditional institutional models of care towards a more holistic and individualized approach. They emphasize the importance of enhancing the well-being and quality of life of residents in long-term care settings.

The Eden Alternative is based on the philosophy that the lives of elders should be full of meaning and purpose. It focuses on creating a vibrant and inclusive community where residents have opportunities for social interaction, companionship, and engagement in meaningful activities. The program encourages the presence of plants, animals, and children in the facility to promote a sense of vitality and connection with nature.

The Pioneer Network advocates for person-centered care, emphasizing resident choice, dignity, and autonomy. It encourages a culture that values relationships and supports the social, emotional, and spiritual needs of residents. The program promotes individualized care plans, shared decision-making, and the elimination of institutional practices that may hinder resident well-being.

The Green House model reimagines the physical environment of long-term care facilities. It promotes the creation of small, homelike settings where residents live in private rooms and have access to communal spaces. The model encourages a more intimate and family-like atmosphere, with a focus on building relationships between residents, staff, and family members.

Overall, these programs share the common goal of transforming long-term care facilities into environments that prioritize the needs, preferences, and individuality of residents. They seek to create spaces where residents can live meaningful lives, maintain their identities, and experience a sense of belonging and purpose.

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Which one of the following is NOT a phenotype?
O Red Hair
O Brown Eyes
O Red/Green Blood
O Five foot tall girl
O These are all phenotypes

Which one of the following is NOT a phenotype?O Red HairO Brown EyesO Red/Green BloodO Five foot tall

Answers

These are all phenotypes
red green blood ? (Sorry if i get it wrong)

what potential difference is needed to accelerate a he ion (charge e , mass 4 u ) from rest to a speed of 1.9×106 m/s ?

Answers

A potential difference of 8.21×10^5 V is needed to accelerate a He ion from rest to a speed of 1.9×10^6 m/s.

The kinetic energy of the ion can be calculated using the formula:

KE = (1/2)mv^2

where m is the mass of the ion, v is its velocity, and KE is the kinetic energy.

The work done on the ion by the electric field to accelerate it can be found using the formula:

W = qV

where q is the charge of the ion and V is the potential difference.

The kinetic energy gained by the ion must be equal to the work done on it by the electric field. Therefore,

(1/2)mv^2 = qV

Solving for V, we get:

V = (1/2)(mv^2)/q

Substituting the given values, we get:

V = (1/2)(4u)(1.9×10^6 m/s)^2/e

V = 8.21×10^5 V

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24) A 0.042-kg pet lab mouse sits on a 0.35 kg air-track cart. The cart is at rest, as is a second cart with a mass of 0.25 kg. The lab mouse now jumps to the second cart. After the jump, the 0.35-kg cart has a speed of u1=0.88m/s. What is the speed v2 of the mouse and the 0.25-kg cart? |

Answers

The mass of the mouse, m₁=0.042 kg

The mass of the 1st cart, m₂=0.35 kg

The mass of the second cart, m₃=0.25 kg

The speed of the 1st car after the jump, u₁=0.88 m/s

From the law of conservation of momentum, the momentum of a system should always remain the same.

Before the mouse jumps from one cart to another, all the objects were at rest. Therefore the total momentum of the system was zero.

Thus after the mouse jumps, the total momentum of the system should be equal to zero.

Thus the momentum of the second cart and the mouse will be equal in magnitude to the momentum of the first cart but it will be in the opposite direction.

Thus,

\(m_2u_1=(m_1+m_3)v_2\)

On substituting the known values,

\(\begin{gathered} 0.35\times0.88=(0.042+0.25)v_2 \\ \Rightarrow v_2=\frac{0.35\times0.88}{(0.042+0.25)} \\ =1.05\text{ m/s} \end{gathered}\)

Thus the speed of the mouse and the second cart after the mouse jumps is 1.05 m/s

Slim Jim carries a box for 6m atconstant speedA. How much kinetic energy does the box have?B. How much work does Jim do?

Slim Jim carries a box for 6m atconstant speedA. How much kinetic energy does the box have?B. How much

Answers

A.

In order to calculate the kinetic energy of the box, we can use the formula below:

\(KE=\frac{mv^2}{2}\)

Where m is the mass and v is the velocity.

Using m = 12 kg and v = 3 m/s, we have:

\(\begin{gathered} KE=\frac{12\cdot3^2}{2} \\ KE=6\cdot9 \\ KE=54\text{ J} \end{gathered}\)

B.

The work done by Jim can be calculated with the formula below:

\(W=F\cdot d\)

Where F is the force and d is the distance.

The force applied is equal to the weight force of the box, so:

\(\begin{gathered} W=(m\cdot g)\cdot d \\ W=12\cdot9.8\cdot6 \\ W=705.6\text{ J} \end{gathered}\)

4. A car accelerating at 60 meters/second is hit in an accident by a bus. The net force exerted on
the car is 30000 Newtons. What is the car's mass?

Answers

Answer:

500kg

Explanation:

mass = newtons/force divided by the acceleration rate

m = 30,000/60

m = 500

A semiconductor of width 0.1 cm through which the charge carriers traveling at 3m/s, a voltage of 0.5V is measured. Calculate the magnetic field.

Answers

The magnetic field is B = 166.7nT.

A semiconductor of width 0.1 cm is there through which the charge carriers are traveling at 3m/s. A voltage of 0.5V is measured, and the magnetic field needs to be calculated. The magnetic field is calculated using the Hall effect.

The Hall effect was first observed by E. H. Hall in 1879. It is a phenomenon that allows the measurement of the magnitude of a magnetic field and the determination of the sign of the charge carrier in a semiconductor or metal.

When a magnetic field is applied perpendicular to a current-carrying conductor, a potential difference (Hall voltage) is generated perpendicular to both the magnetic field and the current density vector.

The Hall voltage is proportional to the magnitude of the magnetic field and the current density, and the ratio between the Hall voltage and the product of the magnetic field and current density is known as the Hall coefficient.

The formula to calculate the magnetic field is given by

B = V/ ( I w)The formula indicates that the magnetic field (B) is equal to the Hall voltage (V) divided by the product of current (I), width (w), and the charge carrier density (nq).

The magnetic field is calculated as follows;

Given that the width of the semiconductor is 0.1 cm, the velocity of the charge carriers is 3 m/s, and the voltage measured is 0.5V. We can calculate the magnetic field as follows;

w = 0.1cm = 0.001mV = 0.5VI = nq A

where n is the number of charge carriers in a unit volume and q is the charge on each carrier.

Arranging the formula to make B the subject;
B = V/ (Iw) = 0.5/ (nqA*0.001)= 0.5/ (nq * 3*10^-6)

The magnetic field is used in many areas, including generators, electric motors, MRI machines, and many others. The Hall effect is an important phenomenon used to measure magnetic fields in materials.

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What value should be reported for the total mass of three samples of iron weighing 117.0 g, 19.43 g, and 6.1043 g?

Answers

The value that should be reported for the total mass of three samples of iron will be 0.143 Kg or 143 g

What is Mass and Weight ?

Mass is the quantity of matter. While weight is a gravitational pull on an object. Mass is measured in Kg while weight is measured in Newton.

What value should be reported for the total mass of three samples of iron weighing 117.0 g, 19.43 g, and 6.1043 g?

The total mass will be the sum of the three masses.

The total mass = 117 + 19.43 + 6.1043

The total mass = 142.5343 g

Convert gram to kilogram by dividing the answer by 1000

The total mass = 142.5343/1000

The total mass = 0.1425343 Kg

Therefore, the value that should be reported for the total mass of three samples of iron will be 0.143 Kg or 143 g approximately

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Which statement describes a histogram?

A. It shows a frequency distribution.
B. It shows how an independent variable affects a dependent variable.
C. It shows a line of best fit.
D. It shows data as proportions of a whole.​

Answers

Answer:

have u figured out the answer yet

Explanation:

?

Answer: it shows a frequency distribution

Explanation: I took the test :) have a good day.

12. Describe Binding energy and how it plays a role in nuclear fusion up to 56Fe (the synthesis of iron
nuclei). Include a description of the relationship between the strong nuclear force, the
electromagnetic force, and the number of nucleons involved in the fusion in your answer.
Help me on thiss one once again ughh ! asap ! hurry

Answers

The binding energy per nucleon increases in value from Hydrogen up to Iron (Fe 56). This causes lighter nuclei to fuse together to make more stable heavier nuclei.

The strong nuclear force is responsible for causing the fusion of the nuclei and it is much much stronger than the electromagnetic force that would otherwise keep the positive protons apart.

SCIENCE
1-1 FORCE
What is gravitational force?

(गुरुत्वाकर्षण बल भनेको के हो?"
Write two factors that affect gravitation, (गुरुत्वाकर्षणलाई असर
Write one effect of gravitation that is seen in the sea. (गुरुत्वा
What is gravitational constant? (गुरुत्वाकर्षण अचर भनेको हो ?
Write the value of gravitational constant? (गुरुत्वाकर्षण अचरक
What is gravity? (गुरुत्व बल के हो?)
Vrite two factors that affect ravity. (गुरुत्व बललाई असर गर्ने
-2 FORCE
What is acceleration due to gravity? (गुरुत्व प्रवेग के हो)
rite the value of g at the poles and in the equator of the
त उल​

Answers

Answer:

is a force that attracts any two objects with a mass

A 230 v mains powered electrical drill draws a current of 2.5 A calculate the power of the drill at use

Answers

The power drill is 575 watts

A train has an initial velocity of 44meter per second and an acceleration of 4meter per second caculate it's velocity after 10 second

Answers

A train has an initial velocity of 44meter per second and an acceleration of 4meter per second.The final velocity after 10 seconds is 84m/s.

As we know,

Acceleration= Final velocity-Initial velocity /time.

where acceleartion = a=4m/s².

Initial velocity= u= 44m/s

let final velocity be v

Time =t = 10seconds.

Therefore, the equation is:

a=v-u/t

Substituting the values in the given equation, we get:

4=v-44/10

Now cross multiplying,

4×10 = v-44

40=v-44

40+44=v

v=84m/s

Therefore, the final velocity after 10 seconds is 84m/s.

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he difference between mass and weight. *

Answers

Mass is a fundamental measurement of how much matter an object contains. Weight is a measurement of the gravitational force on an object.

a point-like object with a mass of 1.0 kg falls from a tree which is 10.0 m tall. how far it will have fallen after a time of 1.00 s, 2.00 s, 3.00 s ? ignore the air resistance.

Answers

The distance fallen by the object after 1.00 s, 2.00 s, and 3.00 s are 4.9 m, 19.6 m, and 44.1 m, respectively.

Because, the distances calculated are the vertical distances fallen by the point-like object. As, the vertical distance fallen by an object under the influence of gravity can be calculated using the equation:

The equation is as:

distance = 1/2 * acceleration due to gravity * \(t^{2}\)

where acceleration due to gravity is 9.8 \(m/s^{2}\).

Substituting the given values, we get:

For t = 1.00 s:

\(d = 1/2 * 9.8 m/s^2 * (1.00 s)^2 = 4.9 m\)

For t = 2.00 s:

\(d = 1/2 * 9.8 m/s^2 * (2.00 s)^2 = 19.6 m\)

For t = 3.00 s:

\(d = 1/2 * 9.8 m/s^2 * (3.00 s)^2 = 44.1 m\)

Therefore, the distance fallen by the object after 1.00 s, 2.00 s, and 3.00 s are 4.9 m, 19.6 m, and 44.1 m, respectively.

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Can someone help me :(

Can someone help me :(

Answers

Stored water is gravitational potential energy
Power lines is electrical energy
Turbine is mechanical energy
The 2nd box is kinetic energy

Hope this helps

Have a great day/night

A car traveled 348 km in 5.0 min. What was the speed of the car in m/s?

Answers

Answer:

69,000m/s.

Explanation:

1. Divide

348 ÷ 5.0 = 69.6km

Now, it says to find it in meters. Not km. 1,000 meters = 1 km. So, we can simply move the decimal place over according to how many zeros there are in 1,000. In this case, there are 3 zeros. So, we can move the decimal place over 3 times:

69.6

696.

6,960.

69,600

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Which of the following statements are true?Check all that applyFor the gas to do positive work, the cycle must be traversed in a clockwise manner.Positive heat is added to the gas as it proceeds from state C to state D.The net work done by the gas is proportional to the area inside the closed curve.The heat transferred as the gas proceeds from state B to state C is greater than the heat transferred as the gas proceeds from state D to state A.

Answers

Out of the given statements, the true statements  are that positive work occurs when the cycle is traversed in a clockwise manner, and the net work done by the gas is proportional to the area inside the closed curve.

1. For the gas to do positive work, the cycle must be traversed in a clockwise manner.
2. The net work done by the gas is proportional to the area inside the closed curve.

In a thermodynamic cycle, positive work is done when the cycle proceeds in a clockwise manner.

Additionally, the net work done by the gas in a cycle is proportional to the area enclosed by the cycle on a pressure-volume diagram.

Hence, Out of the given statements, the true ones are that positive work occurs when the cycle is traversed in a clockwise manner, and the net work done by the gas is proportional to the area inside the closed curve.

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Which of the following is related to a person’s self-concept?
A) what neighborhood he or she lives in
B) his or her sense of self-worth
C) how good an athlete he or she is
D) how attractive he or she is

Answers

option D most likely

Answer:

Im not a 100 percent sure but i thinks it za A

Explanation:

How would the motion of the book change if there was LESS friction as it moved across the table?

Answers

less friction means harder to stop

Answer:

The motion of the book would change if there was less friction if it moved across the table is that it would spin and have more kenetic energy.

Explanation:

friction slows stuff down so if it had less friction it would speed up and spin when sliding.

Which of the following objects have gravitational potential energy?
A) a diver standing on a diving platform.
B) A hockey puck gliding across the ice.
C) an archers bow that is drawn back.
D) A runner waiting on the starting blocks.

Answers

Answer:

An archers bow that is drawn back

Answer:

A)a diver standing on a diving platform.

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A force of 24 N will stretch a rubber band 12 cm(0.12 m) Assuming that Hooke's faw applies, how lar will a 20 - N lorce stretch the rubber band? How much wokk does if take fo stretch the nubber band this far? How lar will a 20.N torce stretch the rubber band? B) (Sirnplify your answed) How mach work does ia take la stretch the rubber band this far? (Stmplify your answer)

Answers

Work required to stretch the rubber band by 0.10 meters will be negative, indicating that work needs to be done against the force applied to stretch the rubber band.

To determine how much the rubber band will stretch under a 20 N force and the work required to stretch it, we need to apply Hooke's Law. Hooke's Law states that the force applied to a spring or elastic material is directly proportional to the displacement it undergoes.

We can set up a proportion to find the stretch under Force 2:

(F1 / S1) = (F2 / S2)

Substituting the given values:

(24 N / 0.12 m) = (20 N / S2)

To find S2, we can rearrange the equation:

S2 = (20 N * 0.12 m) / 24 N

Simplifying:

S2 = 0.10 m

Therefore, a 20 N force will stretch the rubber band by 0.10 meters.

Now, let's calculate the work required to stretch the rubber band this far. The work (W) can be calculated using the formula:

W = (1/2) * k * (S2^2 - S1^2)

Where k is the spring constant.

However, we don't have the spring constant (k) given in the problem. So, we cannot determine the exact work without that information.

But, if we assume that the rubber band behaves as a linear spring and Hooke's Law applies, we can simplify the equation. Hooke's Law states that the force applied to a spring is equal to the spring constant (k) multiplied by the displacement (S).

F = k * S

Rearranging the equation:

S = F / k

Since the stretch (S) is directly proportional to the force (F), we can approximate the work required by assuming a constant k value:

W ≈ (1/2) * k * (S2^2 - S1^2)

W ≈ (1/2) * k * [(0.10 m)^2 - (0.12 m)^2]

Simplifying:

W ≈ (1/2) * k * (0.01 m^2 - 0.0144 m^2)

W ≈ (1/2) * k * (-0.0044 m^2)

Without the exact value of the spring constant, we cannot calculate the work precisely. However, we can still conclude that the work required to stretch the rubber band by 0.10 meters will be negative, indicating that work needs to be done against the force applied to stretch the rubber band.

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When electrons are moving it is called
A field
B electricity
C friction
D attraction

Answers

Im pretty sure it’s in a field

If you get scared when swimming,panicking just makes you breathe faster and uses up more precious energy.
A. True
B.Flase


ANSWER ASAP

Answers

The answer: True :))

What method has detected the most extrasolar planets so far?.

Answers

The most successful method that has detected the most extrasolar planets so far is the transit method.

The transit method is the most successful method that has detected the most extrasolar planets so far.

This method uses the idea of watching stars to see if a planet crosses in front of it.

The method detects the planets when they pass in front of their star, which results in a drop in the star's brightness.

The transit method looks for transits, which occur when a planet passes in front of a star and temporarily reduces its brightness.

The transit method has been responsible for identifying over 75% of known exoplanets as of 2019.

It can detect not only the presence of a planet but also its radius, density, and other characteristics.

This method is most useful for detecting exoplanets in close orbits around their stars since it is more likely to see the planet transit in front of the star when it is closer.

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¿Por qué es importante tu carrera en la sociedad? Menciona un mínimo de tres argumentos para sustentar tu respuesta y su aporte con la sociedad. (explica los roles de tu carrera y su aporte a la sociedad.

Answers

Answer:

La carrera es importante para ganarse la vida, el respeto en la sociedad y cumplir el sueño.

Explanation:

La carrera es importante por las siguientes razones principales

a) Es una forma de ganar para alimentarse a sí mismo y a su familia y asegurar su futuro.

b) Permite ser considerado como una persona respetable en la sociedad.

c) Es importante ya que también brinda la oportunidad de cumplir el sueño.

Other Questions
what are specialized receptors in muscles and tendons that provide feedback to the brain about the position of the body parts. The name of the point that is the opposite of five is . It is located at Determine the surface area of the rectangular prism below. (Picture)80cm^2100cm^2160cm^217cm^2 RESEARCH 2022 G...11 OPTION 2.docx : Guidelines for discussion 7 THE IMPACT OF DROUGHTS IN SOUTH AFRICA RESEARCH TOPIC: Introduction: Mapping: Find a map of South Africa, that indicate the drought-stricken areas. Annual Rainfall graphs of the past FIVE years. Brief discussion on the annual rainfall graphs ( EIGHT LINES) Pictures of the different types of droughts. A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.See picturePart A: What is the height of the base? Show your work. (5 points)Part B: What is the approximate amount of cardboard used to make the candybox? Explain how you got your answer. (5 points) Your class has been talking about helping the poor in your community. most of the students opine, 'why not just hand out money?' your teacher has asked you to write an essay on your opinion of this kind of help. in your essay, you should write about: - what is your opinion - reasons for your opinion - what are your suggestions write your essay using all the notes and giving reasons for your point of view. Parallelogram P Q R S. Angle P is 116 degrees. Angle R is opposite to angle P. What are the measures of the three remaining angles? Measure of angle Q = 116 degrees, Measure of angle R = 64 degrees, Measure of angle S = 64 degrees Measure of angle Q = 116 degrees, Measure of angle R = 116 degrees, Measure of angle S = 116 degrees Measure of angle Q = 64 degrees, Measure of angle R = 64 degrees, Measure of angle S = 64 degrees Measure of angle Q = 64 degrees, Measure of angle R = 116 degrees, Measure of angle S = 64 degrees What are the two main types of ad formats you can leverage for your Display campaign? which one of the following is not one of the reasons cited in the text and lecture as to why we engage in interpersonal relationships? Compare these rational numbers. Which of the following are true? What helps ensure that the information is correct? group of answer choices a. transactionsb. documentsc. internal controls d. data transmissions 8 - 2x < 18 Which number line best represents the solution set for the inqeuality below In a shipment of 2000 tomato sauce jars, 0.85% were broken. Work Problems: (60 points) You must provide clear and complete solutions for each of the following work problems. Question 1 [30 points] a) [12 points] Find all the critical points of the function f(x,y)=xy(2y+xy+y 2). b) [8 points] Classify all the critical points of f to determine its possible maximum, minimum and saddle points. Justify your answer. c) [10 points] Evaluate the following double integral by switching the order of integration. Show your detail work. 01 x18+y 3dydx Categorical variables Suppose we are interested in the salaries of professors at colleges. Professors are on of three ranks: assistant professor, associate professor, or full professor. We have the model yi = Bo + B11(AssocProf) + B21(Prof) + Wi, where yi is a professors salary in dollars, 1(AssocProf) is a binary indicator variable that equals 1 if the professor is in an associate professor, 1(Prof) is a binary indicator variable that equals 1 if the professor is in a full professor. Estimates for this regression are reported below. Salary (1) Dependent Variable: Model: Variables (Intercept) 1(AssocProf) 80,776.0*** (2,887.3) 13,100.5*** (4,130.9) 45,996.1*** (3,230.5) 1(Prof) Fit statistics Observations R2 Adjusted R2 397 0.39425 0.39118 IID standard-errors in parentheses Signif. Codes: ***: 0.01, **: 0.05, *: 0.1 (a) (5 points) What is the average salary for assistant professors? (b) (5 points) Calculate a 95% confidence interval on B1. Is it statistically different from zero? Hint: to.025,395 = 1.966 (c) (5 points) Interpret the meaning of 1. What is the average salary of associate professors? (d) (5 points) Interpret the meaning of 2. What is the average salary of full professors? (e) (5 points) Why can we not estimate model yi = Bo + B11(AssocProf) + B21(Prof) + B31(Asst Prof) + u;? Briefly explain. 2 (34+x) + 387 = (23) x what is x? calculate four periods moving average forecast from the last six periods period/demand 1-38 2-40 3-42 4-40 5-44 6-38 The variable y varies directly with x . If x=2 and y = 7, find y when x = 6. graph this equation on the graph then, use the check step to prove the solution works in both equations. show all worky = -1/2x + 3y = 5check: Find the GCF for the following list32, 140