Forces acting upon a 100-kg crate sliding down an inclined plane, the plane is inclined at an angle of 30 The coefficient of friction between the crate and the incline is 0.3. Determine the net force of the crate. Use: g=10m/s, Sin30°=0.5, and Cos30°=0.9 A) 300N B) 200N C) 100N D)230N​

Answers

Answer 1

Forces acting upon a 100-kg crate which is sliding down an inclined plane, the plane is inclined at an angle of 30 The coefficient of friction between the crate and the incline is 0.3. the net force of the crate is 230N.

What is coefficient of friction ?The amount of friction between two surfaces is measured by the coefficient of friction. You determine the resistance to motion at the intersection of two surfaces made of similar or dissimilar materials when you determine the coefficient of friction.

Solution:

Given:

Mass of crate=100kg

Angle of inclination=30°

coefficient of friction=0.3.

Now,

F∥=mgsinθ=(100)(10)0.5=500N is the force acting parallel to the inclined plane.

then,

Normal force= mgcosθ=(100)(10)(0.9)=900N

then, frictional force =

Frictional force=μkF⊥=(0.3)(900)=270N

Finally the net force = F∥-frictional force

the net force =500-270

the net force =230N

Hence, the net force is 230N

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Related Questions

A car drives to the right. There is a large amount of air resistance, and the car's engine provides the car's forward motion. Which force on the free-body diagram below represents the normal force acting on the car?

Answers

A force on the free-body diagram above which represents the normal force acting on the car include the following: D. Force A.

What is a free-body diagram?

In Science, a free-body diagram can be defined as a graphical illustration which is typically used in the field of science to visualize moments, tension, and applied forces that are acting on an isolated or rigid object (body), while using arrows to point in the direction of these forces.

Since this car was driven to the right, with a large amount of air resistance acting on it, and its engine provides the forward motion, we can reasonably infer and logically deduce that the normal force which is acting on the car is represented by Force A as illustrated by the free-body diagram shown in the image attached above.

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A 3 kg toy car is moving at 4 m/s. Calculate the Ek if the car were moving TWICE as fast. Include units

Answers

The kinetic energy would be 96 J, for the car moving at 4m/s and with 3kg mass.

The kinetic energy (Ek) of the toy car is given by Ek = ½ mv2, where m is the mass of the car (3 kg) and v is the velocity (4 m/s). Thus, the kinetic energy of the car is 24 J. If the car were moving twice as fast (8 m/s), the kinetic energy would be 96 J. The units are Joules (J).

What is kinetic energy?

Kinetic energy is the energy of a body or system due to its motion. It is the energy that an object has due to its motion. Kinetic energy is equal to one half of the mass of the object multiplied by the square of its velocity.

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If 230 g of water is heated from 24°C to 100°C, how much energy would have been consumed?

Answers

Answer:

i believe it would be 64 kJ

Explanation:

Consider you are X units in distance from a light source. You receive Y unit of light per unit time. You have to be _____ X units in distance from the light source in order to receive 4Y unit of light per unit time.

Answers

when it takes 4x units of distance from the light for you to receive 4Y units of light in a given amount of time.

What is a distance?

Distance is a measurement of the separation between two things or locations, either quantitatively or qualitatively. A physical distance or perhaps an estimate relying on other physics- or usage-related characteristics can both be referred to as distance. The phrase is also employed metaphorically to denote a measurement of the degree of distance between two common pieces since spatial intelligence is a rich source of implicatures in human understanding. The majority of these concepts of distance, both literal and figurative, are codified using the idea of a metric space.

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What is the radius of the event horizon of this 10-Solar-mass black hole, in units of kilometers (km)

Answers

The radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.

How do you calculate the radius of the event horizon?

The radius of the event horizon of a black hole is known as the Schwarzschild radius and it is a function of the mass of the black hole. The Schwarzschild radius is given by the formula:

r = 2GM/c^2

where

r = radius of the event horizon (in meters)

G = gravitational constant (6.674 x 10^-11 N*(m/kg)^2)

M = mass of the black hole (in kg)

c = speed of light in a vacuum (2.998 x 10^8 m/s)

For a 10-Solar-mass black hole, we can use the mass conversion factor 1 Solar mass = 1.989 x 10^30 kg.

M = 10 x 1.989 x 10^30 kg

Now, we can substitute the values into the formula

r = 2 x 6.674 x 10^-11 x M/ (2.998 x 10^8)^2

r = 2GM/c^2 = 2 x 6.674 x 10^-11 x (10 x 1.989 x 10^30) / (2.998 x 10^8)^2

r = 2.95 x 10^3 m = 2950 kilometers

So, the radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.

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(i) Object A has a charge of +2 µC, and object B has a charge of +6 µC. Which of the following statements is true about the electric forces on the objects? (a) F_{ AB }=-3 F_{ BA }F AB​ =−3F BA

(b) F_{ AB }=- F_{ BA }F AB =−F BA

(c) 3F_{ AB }=- F_{ BA }3F AB​ =−F BA

(d) F_{ AB }= 3 F_{ BA }F AB =3F BA

(e) F_{ AB }= F_{ BA }F AB =F BA

(f ) 3F_{ AB }= F_{ BA }3F AB =F BA

Answers

The electric force between objects A and B is F_{ AB }=- F_{ BA }.

What is charge ?

Charge is a fundamental property of matter that is related to electricity. It is an electrical property that allows matter to experience a force when placed in an electric field. Charge can be either positive or negative. Positive charge is the opposite of negative charge, and vice versa. Charge is measured in coulombs (C).

The electric force between two objects is determined by Coulomb’s Law, which states that the magnitude of the force is proportional to the product of the charges and inversely proportional to the square of the distance between the two objects. Therefore, the electric force between objects A and B is F_{ AB }=- F_{ BA }.

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Athletes such as swimmers and bicyclists wear body suits in competition. Formulate a list of pros and cons of such suits.

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There is a drag force that opposes a person's motion while they are moving through a fluid, whether it be air or liquid. Range of motion is constrained by the drag force. Drag force is overcome by the suits. The drawback is overheating.

A bodysuit's main function is to give you support and a seamless tuck-in so you may dress comfortably and easily. Bodysuits can be skin-tight or loose, and because of the tension they create from the shoulders to the crotch, they can embrace your curves and serve as the ideal foundation for whichever bottom you choose.

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Answers

B. The springs stretched to double the original displacement, is the the statement that best describe the effect this had on the springs.

What is displacement?

The displacement is the shortest distance in geometry and mechanics between the initial and final positions of a point P. From the starting position to the ending position of the point trajectory, it measures the length and direction of the net motion, or total motion, in a straight line. A displacement can be discovered by using the translation that joins the starting point and ending point.

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Anxiety disorders can become a pathological disorder when feelings of apprehension and fear __________.
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b. are inherited due to genetics
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d. are controllable but excessive
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Answers

When feelings of anxiety and worry become excessive, out of control, and interfere with daily life, they can develop into pathological diseases called anxiety disorders. So the correct option is (c).

Anxiety disorders are characterized by feelings of apprehension and fear, which are normal human emotions. However, when these feelings become excessive, uncontrollable, and affect daily life, they can be considered a pathological disorder. Anxiety disorders can affect a person's ability to perform daily activities, such as work or school, and can also cause physical symptoms such as insomnia, muscle tension, and fatigue. These disorders can be recurrent, but they need to be excessive, uncontrollable, and affect daily life in order to be considered pathological.

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How is a distance measured?

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Which of the following methods is used when an entire mole is removed for examination under a microscope

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The method used when an entire mole is removed for examination under a microscope is called an excisional biopsy.

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The key benefit is that, as opposed to an incisional biopsy, when a bit of the tissue is taken to provide a diagnosis but it will likely still need to be treated later, the aberrant tissue may be identified, diagnosed, and removed in one operation.

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How much work is needed to overcome friction in a machine
depends on the machine's [blank]

Answers

The force that prevents motion between any two surfaces that are contacting is called friction. Every machine has friction because it involves motion. As a result, efficiency is never 100 percent.

What proportion of the work a user inputs into a machine is actually completed by the machine?

Efficiency is the proportion of user-inputted work (input work) that is converted into output work by a machine (output work). Because some of the input work is used to overcome friction, the output work is always less than the input work.

Do all devices eliminate friction?

The force that would grow or decrease in the absence of friction is reflected in the ideal mechanical advantage of a machine. It is consistently larger.

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A spinning disk has an initial angular speed of 12.5 rad/s. It is pushed by a kid with a constant angular acceleration of 3.41 rad/s2. a) What will be the angular speed in 5.26 s. What will be the angle turned in 5.26 s

Answers

The angle turned in 5.26 s is 6470 degrees. An initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2 are the characteristics of a pulley.

Does acceleration affect angular velocity?

The angular acceleration provides the rate of change of angular velocity, just like in the case of linear velocity and acceleration: The rate at which the angular velocity varies is determined by the angular acceleration's magnitude, and the change's direction is determined by the direction.

What is the formula for angular acceleration?

The rate at which angular velocity changes is referred to as angular acceleration. In an equation, angular acceleration is written as follows: = t, where t is the change in time and is the change in angular velocity.

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different between simple cell and dry cell

Answers

Answer:

Simple cell has liquid chemicals and it is difficult to carry from one place to another. Dry cell has no solution. So, it is easier to carry it from one place to another and there is no risk of spilling acid from the dry cell. So, dry cell is more useful than simple cell in our daily life.

What is the sound intensity level of a sound with an intensity of 4.0×10−6 W/m2 ?
Express your answer in decibels.

Answers

Answer: 66.02dB

Explanation: We use the equation β=(10dB)㏒([tex]\frac{I}{I_0}[/tex])

[tex]I_{0}[/tex]= the threshold of hearing which is 1.0×[tex]10^{-12}[/tex]W/[tex]m^{2}[/tex]

Plug in our knowns β=(10dB)㏒([tex]\frac{4.0*10^{-6} }{1.0*10^{-12} }[/tex])=66.02dB

If researchers failed to take into account the effect of air resistance on the pitch, how would it impact their measurements of the efficiency of energy transfer from the arm to the baseball

Answers

The efficiency of energy transfer from the arm to the baseball would be lower than the actual efficiency, as there was a higher initial velocity at release.

In order to answer this question, we must look at the experimental design and assess how air resistance would affect the scientists' computations. The ball's velocity would be reduced as it moved from the mound to home plate, where the velocity was measured, due to air resistance.

Therefore, the measured velocity ought to be lower than the release velocity. As a result of the baseball's predicted energy being lower due to the lowered velocity, the efficiency of the energy transfer from the arm to the ball will also be lower.

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Write a decomposition chemical reaction caused by light.​

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A decomposition chemical reaction caused by light is the decomposition of hydrogen peroxide.

It is represented by the following equation:

[tex]2 H_{2} O_{2}(aq)[/tex]  →  [tex]2 H_{2}O(l)[/tex] [tex]+ O_{2} (g)[/tex]

The decomposition of hydrogen peroxide is a chemical reaction in which hydrogen peroxide is broken down into its component parts: water and oxygen gas.

This reaction is typically caused by the absorption of light energy, which causes the chemical bonds within the hydrogen peroxide molecule to break.

This reaction is often used as a demonstration of the principles of light-induced decomposition reactions, as it is relatively simple and easy to observe.

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Select the correct anwer from each drop-down menu. When a looe brick i reting on a wall, it ha
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy. When the brick i puhed off the wall and i falling down, the amount of
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy i decreaing while the amount of
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy i increaing

Answers

When a loose brick is resting on a wall, it has potential energy. When the brick is pushed off the wall and is falling down, the amount of potential energy is decreasing while the amount of kinetic energy is increasing.

Kinetic energy is motion––of waves, electrons, atoms, molecules, substances, and objects. Potential energy is stored energy and the energy of position––gravitational energy. There are several forms of potential energy.

Conservation of energy is not saving energy. The law of conservation of energy says that energy is neither created nor destroyed. When we use energy, it doesn’t disappear. We change it from one form of energy into another.

A car engine burns gasoline, converting the chemical energy in gasoline into mechanical energy. Solar cells change radiant energy into electrical energy. Energy changes form, but the total amount of energy in the universe stays the same.

Energy efficiency is the amount of useful energy you get from a system. A perfect, energy-efficient machine would change all the energy put in it into useful work—an impossible dream. Converting one form of energy into another form always involves a loss of usable energy.

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A 0.480 kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.05 s

Answers

The mass added to the object to change the period to 2.05 s is 0.42 kg

What is the time period of an oscillation?

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle.

Given :

A 0.480-kg mass suspended from a spring oscillates with a period of 1.50 s.

The formula of the time period is given by:

 [tex]T=2\pi \sqrt{m/K}[/tex] ------(1)

where m is the mass and K is the spring constant.

The new time period is given by:

[tex]T'=2\pi \sqrt{m^{'} /K[/tex]-----(2)

where m' is the total mass after the addition and K is the spring constant.

Dividing equation (1) by equation (2).

[tex]T/T'=\sqrt{m/m'}[/tex]

Now, substitute the known terms in the above expression.

[tex]\frac{1.50}{2.05} =\sqrt{0.480/m'}[/tex]

[tex]m'=\frac{0.480}{0.5329}[/tex]

[tex]m'=0.9[/tex] kg

Now, the mass added to the object to change the period to 2.05 s is given by:

m" = 0.9 - 0.480

m" = 0.42 Kg

Thus, 0.42kg of mass must be added to the object to change the period to 2.05s.

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a book with a mass of 0.25 kg is lifted 2 m onto a bookshelf. how much gravitational potential energy does it gain? ( g = 10 N/kg)​

Answers

Gravitational Potential Energy = mass x gravity x height

(Gpe=mgh)

0.25 x 10 x 2 = 5J

How much work is done by the environment in the process shown in the figure? Express your answer with the appropriate units
IA Wasxt = Value Units Submit Previous Answers Request Answer incorrect; Try Again; 19 attempts remaining Part B Is energy transferred from the environment to the system or from the system to the environment? O Energy is transferred from the environment to the system. O Energy is transferred from the system to the environment. Submit

Answers

Wasxt is not good. As a result, the system transfers energy to the environment.

How is work completed?

Force may be used to transmit energy. The quantity of energy a force expended to move an item is referred to as the work done. The relationship between Work and Energy is so straightforward.

The work done by a force is calculated as the product of the object's displacement and its component of the applied force in the displacement direction.

Using energy efficiency

Ki + Ui + Wext = Kf + Uf + dEth

Substitute the value by data chart in above equation we get,

4 + 1 + Wasxt = 1 + 2 + 1

Wasxt = 4 - 5

Wasxt = -1 J

Since Wasxt is negative So energy is transferred from the system to the environment.

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Will day and night on Earth be different if the planet did not rotate?

Answers

yes, they would each last about 6 months
If the Earth did not rotate, one side of the planet would always face the sun, resulting in perpetual daylight on that side, while the other side would always be in darkness. There would be no day-night cycle, making life as we know it impossible

A box of weight 150 N is placed on

an inclined plane. The component

of the box's weight acting along

the plane is given by W'. What

would be the value of W", in

Newtons?

Answers

The value W' along inclined plane = (150 sin α ) N

W = m x g = 150 N --> based on case

W = weigth

m = massa

g = gravity acceleration

Fn = Normal force

Fn = m x g x cos α = W cos α = 150 N x cos α

W’ = m x g x sin α = W sin α = 150 N x sin α

Since the angle α is not known it will be still variable, so we could say that the W’ = (150 sin α ) N

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Nan suitcase has a mass of 14 kg how much potential energy does it gain when she lifts it onto a bench that is 40 cm tall

Answers

The potential energy of Nan suitcase of mass 14 kg is 54.88 J.

What is Potential energy?

Potential energy is the energy of a body due to its position in the gravitational field.

To calculate the potential energy, we use the formula below

Formula:

P.E = mgh............... Equation 1

Where:

P.E = Potential energym = Massg = Acceleration due to gravityh = Height

From the question,

Given:

m = 14 kgg = 9.8 m/s²h 40 cm = 0.4 m

Substitute these values into equation 1

P.E = 14×9.8×0.4P.E = 54.88 J

Hence, the potential energy is 54.88 J.

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A 663 g ball strikes a wall at 12.2 m/s and rebounds at 10.4 m/s. The ball is in contact with the wall for 0.046 s. What is the magnitude of the average force acting on the ball during the collision

Answers

The Force acting on the ball during collision is 25.9 N.

To calculate the magnitude of the average force, we use the formula below.

F = m(v-u)/t..........Equation 1

Where:

F = Average force acting on the ball

m = mass of the ball

v = Final velocity

u = Initial velocity

t = time.

From the question,

Given:

m = 663  g = 0.663 kgv = 12.2  m/su = 10.4 m/st = 0.046  s

Substitute these given values into equation 1

F =  0.663 (12.2  -10.4 )/0.046

F = 25.9 N

Hence, The Force acting on the ball during collision is 25.9 N

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where does sound travel faster(the desert or the forest)?

Answers

Answer:

forest

Explanation:

cause of the echo

Answer:

forest

Explanation:

very spacious enough to make echo

a mass m is moving horizontally across a frictionless floor with velocity v. The mass now encounters

Answers

Option B is V2/Mg  gives the total distance travelled by the mass before it is slowed to a stop by friction

The total distance traveled by the mass before it is slowed to a stop by friction can be determined by calculating the work done by the force of friction on the mass. As we have seen before, the force of friction acting on the mass is given by the equation F = friction = umg.

Now, the work done by the force of friction on the mass is given by W = Fd. Using the definition of force of friction and assuming that the final velocity of the mass is zero, we can write the following equation:

umgd = (1/2)mv^2

Dividing both sides by m*g and simplifying the equation we get:

d = (1/2) * u^-1 *v^2 /g

If we compare this expression with the options provided, we can see that it matches with option B: V^2/Mg. Therefore, the total distance traveled by the mass before it is slowed to a stop by friction is given by V^2/Mg.

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The complete question is :

With velocity, a mass moves horizontally along a nearly frictionless floor. The mass now comes into contact with a section of the floor that has a coefficient of kinetic friction equal to Which option gives the total distance travelled by the mass before it is slowed to a stop by friction?

Option A is 2V2/Mg.

Option B is V2/Mg

A car accelerates uniformly from rest to 28.4 m/s in 8.26 s along a level stretch of road. Ignoring friction, determine the average power required to accelerate the car if (a) the weight of the car is 8.55 x 103 N, and (b) the weight of the car is 1.52 x 104 N.

Answers

According to the given statement (a) power in this case will be P=38,933.2428 Watts (b) power in this case will be P=91,788.4599\ W

Step: 1

Average power is defined as the work done per unit time.

Work done can be found by change in kinetic energy.

[tex]W=Kf-Ki\\\\=\frac{1}{2}\mathrm{\ }m(Vf)^2-\frac{1}{2}\mathrm{\ }m(Vi)^2\\\\\Rightarrow\frac{m}{2}\left\{(28.4)^2-(0)^2\right\}\\\\=403.28\mathrm{\ }mJ oules.[/tex]

[tex]P=\frac{W}{t}=\frac{403.28\ m}{6.68}=60.37125mWatts.[/tex]

Explanation: Please refer to solution in this step.

Step: 2

a.) mass of the car will bemass [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.644897\times{10}^3Kg[/tex]

using above equation we can find the power, [tex]P=60.37125\left(0.644897\times{10}^3\right)[/tex]

[tex]=38,933.2428 Watts[/tex]

b.) mass of the car will be [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.152040\times{10}^4Kg[/tex]

using above equation we can find

the power, [tex]P=60.37125\left(0.152040\times{10}^4\right)=91,788.4599 Watts[/tex]

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true or false Visual inspection of the brake drum friction surface is not required, only measure drum diameter.

Answers

It is False that  Visual inspection of the brake drum friction surface is not required, only measure drum diameter.

What serves as a brake drum?

No matter whether the vehicle is moving forward or backward, drum brakes produce uniform braking force. Drum brakes produce the same amount of braking force in both directions, which explains this. This kind is typically utilized for the passenger car's rear brakes.

Unusual brake pedal sensation is one of the first indications when drum brakes are damaged or failing. Excessive brake drum wear might result in vibrations that can be felt in the pedal. When you press the pedal, any trembling or pulsating brought on by worn drums will be audible.

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Akira is setting tables at the restaurant where she works. She starts with a pile of 85 napkins, and she places 6 napkins on every table she sets Write an equation that shows how the number of napkins remaining, y, depends on the number of tables akira sets, x The change from hand labor to machine labor was brought about during the period of time known as the: Crusades Industrial Revolution Reformation Mother, son, grandfather, and aunt are all examples of family roles.TrueFalse our 21 upcycled packing hacks will deliver you to your destination organized and ready to explore. which item did we discover makes a great travel makeup case? Answer the following as the website for my hwk says I am incorrect:a) 6/24 as its simplest form (I put 1/4)b) 52.491 to 2 decimal places (I put 52.49)c)how many 0.125m drinking straws are needed for a bridge which is 0.85m long (I put both 6.8 and 7)d) 756.985 45 - 14.325 ( I put 34,050) The least common multiple of $1! 2!$, $2! 3!$, $3! 4!$, $4! 5!$, $5! 6!$, $6! 7!$, $7! 8!$, and $8! 9!$ can be expressed in the form $a\cdot b!$, where $a$ and $b$ are integers and $b$ is as large as possible. What is $a b$ Does anyone have an argumentative essay roughly 3 pages on any topic. I need one for my world history class. Possibly having foot notes or link attached to see the sources used Authentication failed: no connection and application not ready to run offline, Code: , Action: ITEM_BANK_REQUESTED 2 points How Did I Do? The cost of renting a car is $42 /week plus $0.25 /mile traveled during that week. An equation to represent the cost would be y=42+0.25x , where x is the number of miles traveled. Why are some producers forced to sell their products at the prevailing market price?A. price takers find market analysis is too costlyB. they are very small players in the overall marketC. high degree of similarity to competitor's productsD. they can increase output without affecting quality why did india put barrier o foreign trade and investment afetr independance , why was the policy changed in 1991 Jocelyn has a collection of 100 coins. How many coins represent 25% of her collection? In which of the following situations should you send a letter instead of an e-mail message? a. You are delivering a job offer with terms and conditions to a job candidate. b. You are inviting employees to the annual sales seminar. c. You are reminding employees of Friday's divisional meetings. d. You are planning a sales team meeting. 30PTS 30PTS dont explain just answer. 5. Chen is worried that his friend Leo is drinking alcohol every day after school. What are thebest ways for Chen to offer assistance to Leo? If you were in Leo's situation and werebeginning to worry about your own unhealthy choices, how would you ask someone tohelp you? Why would you pick this method? cant find the anwer help The molar mass of bismuth (\ce{Bi}BiB, i) is \pu{208. 98 g/mol}208. 98 g/mol208, point, 98, space, g, slash, m, o, l. Calculate the mass in grams of a sample of \ce{Bi}BiB, i containing \pu{7. 35x10^23}7. 3510 23 7, point, 35, times, 10, start superscript, 23, end superscript atoms 1. Estimate the burn TBSA for each patient:2 Identify the burn severity of the three patientA. Patient oneB. Patient twoC. Patient three Your twin sister (who has the same weight as you) and you decided to go up to a very tall building. You take the elevator straight up. Your twin sister decide to walk up the spiral stairway. Compare the gravitational potential energy of you and your sister, after you both reach the top. assuming that you and your friend have equal masses. Which phrase from wind in the pines explain that the pine trees move beautifully in the wind