A wrestler bench presses 64 kg. If the barbell accelerates upward at a rate of 2.57 m/s2, what is the force exerted by the wrestler on the weights?

Answers

Answer 1

A wrestler bench presses 64 kg. If the barbell accelerates upward at a rate of 2.57 m/s2,  The force exerted by the wrestler on the weights will be 164.48 N

Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.

given

mass = 64 kg

acceleration = 2.57 \(m/s^{2}\)

Using newton's second law

force = mass * acceleration

        = 64 * 2.57 = 164.48 N

The force exerted by the wrestler on the weights will be  164.48 N

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Related Questions

A given mass of gas has a pressure of 80N/m² at a temperature of 40°C. if the temperature is reduced to 27°C with the volume remaining constant, the new pressure is A. 46.ON/m² B. 75.ON/m² C. 80.0N/m² D. 85.0N/m²​

Answers

Answer:

Correct Answer: Option B

Explanation:

Explanation

P1/T1 = P2/T2

80/(273+47) = P1/(273+27) = 75Nm-2

Answer: 75.0 Nm^-2

Explanation:

P1/T1 = P2/T2 80/(273+47) = P1/(273+27) = 75Nm-2

what kind of air mass would be over great falls

Answers

Great Falls, Montana is located in the northern part of the United States, which means it is affected by continental air masses.

In the summer, Great Falls experiences warm and dry air masses, while in the winter, it experiences cold and dry air masses. These air masses can bring extreme temperature changes and weather conditions such as snowstorms and thunderstorms. Overall, the air mass over Great Falls can vary depending on the season and weather patterns.

However, in general, the air masses that affect Montana include continental polar (cP) and maritime polar (mP) air masses. Continental polar air masses originate from the cold and dry regions of central and northern Canada, while maritime polar air masses come from the Pacific Ocean and are typically cold and moist.

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How do data collected from tree rings provide evidence for climate
change?
Why isn’t this a answer when you search it

Answers

Answer:

Climate scientists compare the tree growth records to local weather records. For locations where a good statistical match exists between tree growth and temperature or precipitation during the period of overlap, the ring widths can be used to estimate past temperature or precipitation over the lifetime of the tree.

Particles q1 = -20.5 UC, q2 = -9.30 uC, and q3 = -31.6.0 uC are in a line. Particles q, and q2 are separated by 0.980 m and particles q2 and q3 are separated by 0.750 m. What is the net force on particle q2?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right

Answers

The net force on particle q2 can be calculated by finding the net electric force acting on it. The net electric force acting on a particle is the vector sum of the forces exerted by all the other charges on it.

The electric force between two charges q1 and q2 is given by Coulomb's law: F = k * (q1 * q2)/r^2, where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.

The force on particle q2 due to q1 will be:

F1 = k * (q1 * q2) / (0.980m)^2

The force on particle q2 due to q3 will be:

F2 = k * (q2 * q3) / (0.750m)^2

The net force acting on q2 will be the vector sum of F1 and F2.

Keep in mind, q1 and q3 have opposite charges, so they attract each other, while q2 has the same charge as q1, so they repel each other.

Note: The unit of charge is Coulomb (C), but in this problem you are given the charges in microCoulomb (uC) so you need to convert it to Coulomb.

The Magnetic Field in a Charging Capacitor

Answers

As a capacitor is charging, the electric field between the plates is increasing. This changing electric field creates a magnetic field around the capacitor. The direction of the magnetic field is determined by the right-hand rule.

To use the right-hand rule, point your thumb in the direction of the electric field. Your fingers will then curl in the direction of the magnetic field. The magnitude of the magnetic field is proportional to the rate of change of the electric field. The faster the electric field is changing, the stronger the magnetic field will be. The magnetic field from a charging capacitor is strongest near the edges of the plates. This is because the electric field is strongest near the edges of the plates. The magnetic field from a charging capacitor can be used to create a current in a nearby wire. This is how radios and televisions work. The changing magnetic field from a capacitor in a radio antenna creates a current in the antenna, which is then amplified and used to create sound waves. The magnetic field from a charging capacitor can also be used to create a spark. This is how spark plugs in cars work. The changing magnetic field from a capacitor in a spark plug creates a spark, which ignites the fuel in the engine.

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The diagram represents an energy change.
waste energy
energy input
useful energy
output
Copy and complete the following two word equations for this energy change:
waste energy =
b efficiency=

The diagram represents an energy change.waste energyenergy inputuseful energyoutputCopy and complete

Answers

Answer:

Waste energy = Energy Input - Useful Energy Output (Principle of Energy Conservation)

Efficiency = Useful Energy Output/Energy Input (Definition of Energy Efficiency)

Explanation:

The waste energy is the difference between energy input and useful energy output. Then, the word equation is:

Waste energy = Energy Input - Useful Energy Output (Principle of Energy Conservation)

The efficiency, measured in percentage, is the ratio of the useful energy output to the energy input and multiplied by 100. Then, the word equation is:

Efficiency = Useful Energy Output/Energy Input (Definition of Energy Efficiency)

Write an equation of the line in slope-intercept form.

Write an equation of the line in slope-intercept form.

Answers

the answer would be y=1/3x+2

A race car makes one lap around a track of radius 180 m in 90.0 s. What is the centripetal acceleration in m/s2?
a
0.5
12.6
Ob
OC
Od
.87
2.
2

Answers

Answer:

0.9m/s^2 (yours is 0.87, so choose that)

Explanation:

formula for centripetal acceleration:

v^2/r

to find v, we know that f=1/90s, and r=180m.

v=(2pir)/T

v=(2pi(180))/90

v=12.6m/s

now plug into a=v^2/r

a=(12.6)^2/180

a=0.9m/s^2

The first step in the problem solving process is to: A. brainstorm solutions to the problem B. generate and research ideas C. make a model or prototype D. identify the problem.

Answers

howdy!

id say the answer is D. identify the problem

the first step is to identify and understand the problem at hand. this just makes it easier to find solutions.

the first step in the problem solving process is to identify the problem  this is the case. Identifying the problem is a considered the first step in the problem solving process because it lays the foundation for the rest of steps Without a clear understanding of the problem.

it is difficult to come up with effective solutions. Brainstorming solutions or generating ideas without a clear problem definition may lead to wasted time and resources. Additionally, making a model or prototype and researching ideas are steps that come later in the process and are dependent on a clear problem statement identifying the problem is crucial in order to have a successful problem solving process. Once the problem is identified, then brainstorming solutions, generating ideas, making a model or prototype, and researching ideas can be used to effectively solve the problem.

The initial step in any problem-solving process is to identify the problem. It's crucial to recognize and clearly define the issue before moving on to other steps like brainstorming solutions, generating and researching ideas, or making a model or prototype. Identifying the problem is the first step because it sets the foundation for the rest of the process. Once the problem is identified, it becomes easier to brainstorm solutions (A), generate and research ideas (B), and make a model or prototype (C) that can help address the problem. Without a clear understanding of the problem, it would be challenging to develop effective solutions.

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interference fringes from a two slit experiment immersed in water will be closed together than when it is operated in air. this is because

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The interference fringes from a two-slit experiment immersed in water will be closer together than when it is operated in air because the wavelength of light in water is shorter than its wavelength in air.

This is due to the difference in refractive index between water and air, which causes light to slow down and bend when it enters water.

The refractive index of a medium is a measure of how much the speed of light is reduced in that medium compared to its speed in a vacuum. The refractive index of water is higher than the refractive index of air, which means that light travels more slowly in water than in air. Since the speed of light is reduced in water, the wavelength of light in water is also reduced according to the relation:

λ(water) = λ(air) / n

where λ(water) and λ(air) are the wavelengths of light in water and air, respectively, and n is the refractive index of water.

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What is the voltage across resistor #2? (must include unit - V)

What is the voltage across resistor #2? (must include unit - V)

Answers

Answer: 120V

Explanation: In a parallel circuit, the voltage is the same and resistance doesn't matter.

What are the environmental costs and issues (if any) associated with producing energy with a fission reactor?

Answers

Fission reactors are an important energy source, but environmental costs and issues are associated with their production. The most significant issue is the production of nuclear waste, which poses a serious threat to the environment and public health.

Nuclear waste is radioactive and can remain hazardous for thousands of years, making it difficult to safely dispose of. Moreover, it can contaminate water, soil, and air if disposed of improperly. Another issue is the high consumption of water required to cool the reactor, which can have a negative impact on aquatic life in rivers and lakes. Furthermore, the production and mining of uranium, which is the fuel for fission reactors, can lead to soil erosion and contamination. Additionally, uranium mining requires large amounts of energy, contributing to greenhouse gas emissions and other forms of pollution. In conclusion, producing energy through fission reactors results in several environmental costs and issues. While nuclear power is a clean source of energy compared to fossil fuels, its production and waste disposal methods pose serious environmental risks.

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2-Write True(T) if the sentence is true. Write False(F) if the sentence is
false.
Momentum is a measure of the motion of a body equal to the product of its
mass and acceleration due to gravity.
Impulse is defined as the force times the time interval.
The tendency of an object to resist a change in motion is called Force
If the speed of an object is doubled, its momentum is multiplied by 2
Sudden change in momentum in a collision, results in a large force that can
cause injury.
Safety features of modern cars ensures that energy is not absorbed when vehicles
stop:
Crumple zones are built into cars to increase the duration of crashes.

Answers

i have no clue that’s confusing
1 false mass into acc is force
2 true
3 false inertia
4 false
5 false

A point load of 1.29 nC is fixed in glycerin (Er=43). The intensities of its electrostatic field at two points are equal to 168.75 N / C and 300 N / C, respectively. determine the Mechanical Work performed by the field forces when moving the load of 2 microcolomb from the first point to the second.

Answer= -4.5 microJ
I need solving

Answers

Answer:

1 4.5 divede by 1.29 I think that is the literal answer

a wave where particles move perpendicular to its energy isa. longitudinal waveb. transverse wavec. both A and Bd. neither A and B

Answers

A wave where particles move perpendicular to its energy is a transverse wave. In a transverse wave, the particles of the medium vibrate or oscillate perpendicular to the direction of energy propagation.

This means that the disturbance in the medium is perpendicular to the direction of the wave's motion. Examples of transverse waves include light waves, water waves, and seismic S waves.

In contrast, longitudinal waves are waves where the particles of the medium vibrate or oscillate parallel to the direction of energy propagation. The disturbance in the medium is parallel to the direction of the wave's motion. Examples of longitudinal waves include sound waves and seismic P waves.

Therefore, a wave in which the particles move perpendicular to its energy is a transverse wave.

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a motor operates at 200 W how high could it lift 15 g in a time of 8 seconds

Answers

The motor could  lift 15 g in a time of 8 seconds 10884 meter.

What is power?

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Given that motor operates at 200 W.

At time interval of 8 second, it do a work = 200×8 joule = 1600 joule.

Hence,  it lift 15 g in a time of 8 seconds = 1600/(0.015×9.8) meter

= 10884 meter.

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Mumtaz chooses TWO two digit numbers and divided one by the other. His answe was 2. 12121212121

find the two numbers he used

Answers

The two numbers that Mumtaz used are:

15 and 75

27 and 81

39 and 99

21 and 10

Let's assume the two-digit numbers chosen by Mumtaz are represented by "AB" and "CD," where A, B, C, and D are digits.

According to the given information, Mumtaz divided one number by the other and obtained a result of 2.12121212121.

We can express this division as:

(AB) / (CD) = 2.12121212121

To solve this problem, we'll examine the possible values of A, B, C, and D.

First, let's focus on the integer part of the division (before the decimal point). Since the division result is 2, it implies that AB divided by CD must be equal to 2.

So, we have:

(AB) / (CD) = 2

This equation suggests that AB should be twice the value of CD. Let's consider the possible cases:

Case 1: AB = 2 * CD

To find the possible values, we can iterate through all two-digit numbers and check if AB is equal to twice CD.

The possible values for A and C are:

A = 1, C = 5

A = 2, C = 7

A = 3, C = 9

For each value of A and C, we need to find the corresponding values of B and D.

For A = 1 and C = 5, AB = 15, and CD = 75 (since 15 / 75 = 0.2).

For A = 2 and C = 7, AB = 27, and CD = 81 (since 27 / 81 = 0.333...).

For A = 3 and C = 9, AB = 39, and CD = 99 (since 39 / 99 = 0.3939...).

Case 2: AB = 20 * CD

In this case, the value of AB would be twenty times the value of CD.

The only possible values for A and C are:

A = 2, C = 1

For A = 2 and C = 1, AB = 21, and CD = 10 (since 21 / 10 = 2.1).

Therefore, the two numbers that Mumtaz used are:

15 and 75

27 and 81

39 and 99

21 and 10

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What do executive departments do?​

Answers

Answer:

Image result for What do executive departments do?​

Under Article II of the Constitution, the President is responsible for the execution and enforcement of laws created by Congress. Fifteen executive departments—each led by an appointed member of the President's Cabinet—carry out the day-to-day administration of the Federal Government.

Explanation:

The Cabinet and independent federal agencies are responsible for the day-to-day enforcement and administration of federal laws. ... Fifteen executive departments — each led by an appointed member of the President's Cabinet — carry out the day-to-day administration of the federal government.

What is the decay constant for Pollonium-212 if the half-life is 299x10^-9 s?

What is the decay constant for Pollonium-212 if the half-life is 299x10^-9 s?

Answers

The radioactive half-life is given by:

\(T_{1/2}=\frac{ln(2)}{\lambda}\)

Where:

\(\begin{gathered} T_{1/2}=299\times10^{-9}s \\ so: \\ \lambda=\frac{ln(2)}{299\times10^{-9}} \\ \lambda=2.32\times10^6s \end{gathered}\)

what is meant by input and output work​

Answers

Answer:

the x and y values

Explanation:

because on the table the x is the input and y is the output

8 million electrons per second through an ohmic gas

Answers

the compare software

hope it's help

Answer:

you ask or answer?

Explanation:

thanks for point

Can someone help me out?

Can someone help me out?

Answers

Answer:

B). Rarefaction :) _____

the arrow points to the rarefactions

Q3. Given the following table find the value of y when x=3 by interpolation using Newton's Divided Difference Q4. Using Lagrange's Interpolation method, determine the value of y if x is 13 from the following data

Answers

Q3. By using Newton's Divided Difference interpolation, the value of y when x=3 can be determined.

Q4. Using Lagrange's Interpolation method, the value of y can be determined for x=13 from the given data.

Interpolation methods are used to estimate the value of a dependent variable (in this case, y) when the independent variable (x) falls between two known data points. Newton's Divided Difference interpolation and Lagrange's Interpolation method are two commonly used techniques for this purpose.

To find the value of y when x=3 using Newton's Divided Difference interpolation, we can use the given table of data points and interpolate a polynomial function that fits the data. The coefficients of this polynomial can be determined using the divided difference formula. By substituting x=3 into the interpolated polynomial, we can calculate the corresponding value of y.

using Lagrange's Interpolation method, we can also determine the value of y for x=13. This method involves constructing a polynomial function that passes through the given data points. By using the Lagrange interpolation formula, which is based on weighted averages, we can calculate the value of y for the desired x=13.

Interpolation methods are valuable tools in data analysis, curve fitting, and prediction. They allow us to estimate values within a range based on known data points. By utilizing these techniques, we can make informed predictions and fill in missing information between data points.

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In what direction is matter displaced in a traverse wave

A. In the same direction of the energy flow

B. In the opposite direction of the energy flow

C. In a spiral around the energy flow

D. At a right angle to the energy flow

Answers

Answer:

In a transverse wave, the matter is displaced perpendicular (at a right angle) to the direction of energy flow. Therefore, the correct answer is D.

Explanation:

what type of glass has been exposed to high temperatures, so that when it breaks, it shatters into tiny pebble-like fragments that are less dangerous?

Answers

When broken, tempered glass shatters into thousands of tiny pebbles, effectively eliminating the risk of human injury from sharp edges.

Tempered glass is a type of soda-lime glass that has been heat-treated to make it more durable. During the heat-tempering process, the exterior of the glass is force-cooled, causing it to solidify quickly while the centre cools more slowly. As the inside of the glass cools, it pulls on the stiff, compressed outer layer, causing tension in the centre.

Tempered glass is also known as safety glass because when it breaks, it breaks into relatively dull cube-shaped pieces rather than long, thin shards. For this reason, tempered glass is also used in passenger car windows and shower doors.

Hence, tempered glass plays an vital role in safety measures.

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if i measure the speed of a shaft to be 1000 rpm /- 100 rpm, what is the shaft's speed and uncertainty in speed measured in radians/sec?\

Answers

To convert the shaft's speed and uncertainty from RPM to radians per second :


1. Convert the given speed (1000 RPM) to radians per second:
- Multiply the speed by 2π (approximately 6.2832) to convert to radians.
- Divide by 60 to convert to seconds.

2. Convert the uncertainty in speed (±100 RPM) to radians per second:
- Multiply the uncertainty by 2π (approximately 6.2832) to convert to radians.
- Divide by 60 to convert to seconds.

Now let's calculate:

1. Speed in radians per second:
(1000 RPM) * (2π radians / 1 revolution) * (1 min / 60 s) ≈ 104.72 radians/s

2. Uncertainty in speed in radians per second:
(±100 RPM) * (2π radians / 1 revolution) * (1 min / 60 s) ≈ 10.47 radians/s

So, the shaft's speed is approximately 104.72 radians per second, and the uncertainty in speed is ±10.47 radians per second.

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If you measure the speed of a shaft to be 1000 rpm /- 100 rpm, the shaft's speed is 104.72 radians/sec and the uncertainty in speed is ±10.47 radians/sec.

To convert the shaft's speed and its uncertainty into radians/sec.
Step 1: Convert the speed from RPM to radians/sec
To convert RPM to radians/sec, we use the following conversion factor: 1 RPM = 2π radians/minute. Since there are 60 seconds in a minute, we divide by 60 to get radians/sec.
Speed in radians/sec = (1000 RPM) * (2π radians/minute) / 60 sec/minute ≈ 104.72 radians/sec
Step 2: Convert the uncertainty from RPM to radians/sec
Uncertainty in radians/sec = (100 RPM) * (2π radians/minute) / 60 sec/minute ≈ 10.47 radians/sec
So, the shaft's speed is approximately 104.72 radians/sec, with an uncertainty of ±10.47 radians/sec.

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Starting at -12m a person walks in the negative direction for 15 m then turns around and walks 45m in the positive direction. Where is his final position? What was his overall displacement? How much distance did he travel?

Answers

Answer:

We need to define:

When the person walks in the negative direction, we need to subtract the distance walked from the actual position.

When the person walks in the positive direction, we need to add the distance walked to the actual position.

We know that the person starts in the position -12m, then we start with:

Position = -12 m

Then the person walks 15m in the negative direction, then the new position will be:

Position = -12m - 15m = -27m

Now the person walks 45m in the positive direction, then the new position will be:

Position = -27m + 45m = 18m

This is the final position.

Now we want to find the displacement, which is equal to the difference between the final position (18m) and the initial position (-12m)

Then we have:

Displacement = 18m - (-12m) = 18m + 12m = 30m

How much distance he travels?

Here we need to add the absolute value of all the distances that he traveled.

He first traveled 12m and then traveled another 45m

Then the total distance traveled is

Distance traveled = 12m + 45m = 57m

The graph above shows the force exerted by a spring as a function of the length of the spring. A block on a frictionless table is pushed against the spring that is fastened to a wall. The spring is compressed until its length is 20 cm. The block is then released. Which of the following values is closest to the kinetic energy with which the block leaves the spring?

Answers

The kinetic energy of the spring is obtained as 12 J. Option C

What is the kinetic energy of the spring?

We know that the kinetic energy is the energy that is required to stretch the spring. We can use the graph that has been shown to show the force constant of the spring.

We can find the force constant as the slope of the graph as follows;

K = \(y_{2} - y_{1} /x_{2} - x_{1}\)

K = 60 - 0/0.3 - 0.2

K = 60/0.1

K = 600 N/m

We then have;

W = KE = 1/2 Kx^2

Thus;

KE = 0.5 * 600 * (20 * 10^-2)^2

KE = 12 J

It would have a kinetic energy of 12 J.

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The graph above shows the force exerted by a spring as a function of the length of the spring. A block

Answer the question?

Answer the question?

Answers

I don’t know the answer to your question BUT DONT CLICK THE LINK THE BOT GAVE YOU THEY CAN HACK YOU JUST REPORT

a 1.15 kg ball (m1) moving at 5.00 m/s to the right hits a 2.15 kg ball (m2) head-on that is traveling at 3.50 m/s to the left. if this is an elastic collision, what is the velocity of each ball after the collision?

Answers

The speed of the ball having mass 1.15 kg and this 2.15 kg is 3.48m/s and 1.06m/s respectively after collision.

The ball having a mass of 1.15 kg is moving at a speed of 5m/s to the right and it hits A ball of mass 2.15 kg head on travelling with a speed of 3.5m/s to the left if the collision is elastic collision, then the speed of the balls after collision will be given by the formula,

v = 2mu/(M+m)

V = (M-m)U/(M+m)

Here,

m = 1.15 kg,

M = 2.15 kg,

u = 5m/s,

U = 3.5m/s.

v is speed of ball moving to right after collision and V is the speed of ball having mass 2.15 kg moving left after collision.

Putting values,

v = 3.48m/s and,

V = 1.06m/s.

So, the speed of the ball having a mass 1.15 kg after collision is 3.48m/s and the speed of the ball having mass 2.15 kg of the collision is 1.06m/s.

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Which inequality describes the relationship between points A and B on the number line?A>BBA>BB>AB=A please give me a short sentence with the word reaction used in the sentence What value for x makes the following inequality true? -x-2 An electrically charged mixture of protons and electrons given off by the Sun can cause yellow-green curtains of light to occur in Earths atmosphere. This light is known as a(n):A. solar windB. auroraC. solar flareD. prominence Select the five kinds of relationship to God that are required for answered prayer. cordiality obedience faith persistence surrender salvation cooperation informality services provided for cash and credit. abc company provides $8,000 of programming services for customers. the company receives cash of $4,500 from customers, and it bills the balance of $3,500 on account. A. Identify the general ledger accounts affected B. Prepare the journal entry Ways in which a personal lifestyle plan could be used to effectively enhance your ability to overcome the stress of writing the grade 12 examinations Mass of a body is constant but weight varies from place to place why? The table shows the amounts, in millions of dollars, of balances of various current account components. Using the information in the table, what is the amount (in millions of dollars) of unilateral transfers for Year 2?Goods Services Income Payments UnilateralTransfersCurrentAccount BalanceYear 1 $426 $292 $246 $272Year 2 $292 $1434 $418 $1160Year 3 $1000 $400 $276 $1300 april is your supervisor. although she is very demanding, you appreciate the fact that she is open to your suggestions or questions about work policies. in fact, she readily seeks input, applies it, and acknowledges the source of the idea. april is demonstrating what characteristic of a supportive climate? Use the expression 5a 2b 3 + 2b 6a.Part ASimplify the expression. 4 2a 4b a 3 a 3Part BWhich of the following is an equivalent expression? (3 + a) a + 3 (a 3) 3 + a According to the following reaction, how many moles of phosphoric acid will be formed upon the complete reaction of0.949 moles perchloric acid (HClO4) with excess tetraphosphorus decaoxide?12HClO4 (aq) + P4O10 (s) 4H3PO4 (aq) + 6C1O7 (1)How many moles of phosphoric acid? Which functions are the same as their inverse functions A satellite cable company charges an installation fee of $50 plus an additional $35.95 per month for service. Describe the United States mandatory questionnaires and what it asked the Japanese to pledge. you are the listing agent for the property at 542 apple street, a charming little cottage built in 1962. title x requires the seller to make what disclosure to the buyer? If I encrypt a message, then I don't need to authenticate it to prevent against passive attacks True False Money owed for products and services purchased on credit to be paid at a later date is known as _____. Matti - an exchange student from Finland - spends his daily income of w on beer (Good 1) and others (Good 2 = a composite good, taken as a numeraire). The price of a bottle of beer is p and the price of good 2 is normalized to one, that is, p represents the relative price of beer. Assume that Matti's preferences are represented by the following quasilinear utility function: u(x 1 ,x 2 )=2 x 1 +x 2 (a) Examine if Matti's preferences satisfy the axiom of convexity. (b) Suppose that Matti's daily income is sufficiently high so that w1/p. Using the Lagrangian multiplier method, compute his Walrasian demand function and indirect utility function. What happens if w counselors' understanding of how race, culture, and ethnicity may affect how psychological disorders manifest is part of which aspect of multicultural counselor competence?