A go cart engine applies a force of 888N and moves the cart forward 22m.
a) How much work is done?
b) We put on a bigger engine (1111N) but the cart still moves forward 22m. How much work is done now?
c) Why would you put on a bigger engine if you are still moving 22m?

Answers

Answer 1

Answer:

Explanation:

a) work=Force times distance. given force is 888N and distance travelled is 22M

work= 888 x 22 = 19536J or 1.954x10^5J

b) work = 1111 x 22= 24442J or 2.444x10^5J

c) putting on a larger engine means that there are gonna be more force applied to the go cart. therefore the cart will travel the same distance faster

Answer 2

a. The amount of work done by the go cart engine is 19,536 Nm.

b. The amount of work done when a bigger engine is used is 24,442 Nm.

c. The reason why a bigger engine is used is, so that the engine can easily do more work in the same amount of distance.

Given the following data:

Force A = 888 NewtonDistance = 22 meterForce B = 1111 Newton

a. To determine the amount of work done by the go cart engine:

Mathematically, the work done by an object is given by the formula;

[tex]Work\;done = Force \times distance[/tex]

Substituting the given parameters into the formula, we have;

[tex]Work\;done = 888 \times 22[/tex]

Work done = 19,536 Nm.

b. To determine the amount of work done when a bigger engine is used:

[tex]Work\;done = Force \times distance[/tex]

[tex]Work\;done = 1111 \times 22[/tex]

Work done = 24,442 Nm.

c. The reason why a bigger engine is used is, so that the engine can easily do more work in the same amount of distance.

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Related Questions

If a ball is rolled down a frictionless inclined plane from a height of 3 feet, to what height would it roll up to on the other side?

Answers

Answer:

It will roll up to its initial height from which it rolled from on the first hill

Explanation:

The given information are;

The height from which the ball is rolled = 3 feet[

The equation of the potential energy of the ball as it rolled down the frictionless inclined plane is given by the following equation;

m × g × h₁ = 1/2 × m × v² + 1/2×[2/5× m × r²) × [v/r]

Where;

m = The mass of the ball

h = The from which the ball is rolled down

v = The velocity of the ball

r = The radius of the ball

Therefore, all the potential energy, m × g × h, is converted into kinetic energy when the ball reached the ground

Similarly, as the ball rolls up on the other side, by the principle of energy conservation, all the kinetic energy is transformed into potential energy as follows

1/2 × m × v² + 1/2×[2/5× m × r²) × [v/r] = m × g × h₂, therefore, we have;

1/2 × m × v² + 1/2×[2/5× m × r²) × [v/r] = m × g × h₁ =  m × g × h₂

Therefore since m × g × h₁ =  m × g × h₂, then h₁ = h₂, the ball rises to the same height it started rolling from on the first hill.

Diego hypothesizes that the Earth wobbles on its axis in a pattern that is repeated every 20,000 years.

Which of the following ways would be the best way to test Diego's hypothesis?
A.
conduct a controlled experiment
B.
make observations in nature
C.
observe the movement of other planets
D.
make a model

Answers

I’m not sure but I think it’s D because we don’t have 20,000 years to make observations

Answer:

its d

Explanation:

i did itand it was d

Goal: Use dimensional analysis to solve conversion problems. 1. Observe: In the question, you are asked to convert kilometers to centimeters. To do this, first you will convert kilometers to meters. Drag the 1000 meters/1 kilometer tile down. A. What do you notice? __________________________________________________ B. Because kilometers appear in the numerator of one term and in the denominator of another, they cancel, or disappear. The process of converting units by canceling is called dimensional analysis. How many meters are in 0.828 kilometers? ________________________________ C. A meter is a much shorter unit of measurement than a kilometer. Based on this fact, does your answer to B make sense? ______________________________________

Answers

Answer:

A. The kilometers unit is cancelled out and the result shown is 828 meters.

B. 828 meters are found in 0.828 Kilometers

C. Yes

Explanation:

A. When the 1000 meters/1 kilometer tile is dragged down, the kilometers unit is cancelled out and the value 828 meters appears.

This is because the kilometers appear in the numerator of one term and in the denominator of another, they cancel, or disappear. The process of converting units by canceling is called dimensional analysis.

B. 0.828 Kilometers * 1000 meters/1 kilometer = 828 meters

Therefore, there are 828 meters in 0.828 kilometers.

C. A meter is a much shorter unit of measurement than a kilometer. Based on this fact, it does make sense that 0.828 Kilometers which is less than 1 kilometer is equal to 828 meters.

(A) The process of converting units by canceling is called dimensional analysis.

(B)  There are 828 meters in 0.828 kilometers.

(C) It does make sense that  0.828 Kilometers which is less than 1 kilometer is equal to 828 meters.

The given problem is based on some basic fundamentals and applications of dimensional analysis. So as per the given problem, each subpart says,

A.

When the 1000 meters/1 kilometer tile is dragged down, the kilometers unit is cancelled out and the value 828 meters appears.

This is because the kilometers appear in the numerator of one term and in the denominator of another, they cancel, or disappear. The process of converting units by canceling is called dimensional analysis.

Thus, we can conclude that the process of converting units by canceling is called dimensional analysis.

B.

Converting the given value of kilometers into the meters as,

0.828 Kilometers * 1000 meters/1 kilometer = 828 meters

Thus, we can conclude that there are 828 meters in 0.828 kilometers.

C.

A meter is a much shorter unit of measurement than a kilometer. Based on this fact, it does make sense that 0.828 Kilometers which is less than 1 kilometer is equal to 828 meters.

Thus, we can conclude that it does make sense that  0.828 Kilometers which is less than 1 kilometer is equal to 828 meters.

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A ball of mass 200 g rolls along the ground at a speed of 5.2 m/s. Calculate the kinetic energy of the ball.

Answers

Answer:

We have a mass of 200g (0.2kg) moving at 20m/s

Kinetic Energy KE = ½ mv^2 where m is mass and v is velocity

Actually, v is a vector quantity, so KE = ½ mv•v

The dot product of 2 vectors a and b is abCosθ where θ is the angle between the vectors.

Obviously v•v = v^2 Cos0 = v^2

In this case, we have KE = ½ (0.2)(20^2) = 40kg-m^2/s^2 = 40J

So we have kinetic energy in the amount of 40 Joules.

Explanation:

The right answer is "2.7 J"

Answer explanation:

Remember to convert grams to kilograms first by dividing by 1000.

Kinetic energy

= 1/2 × mass × speed2

= 1/2 × 0.2 kg × (5.2 m/s)^2

= 2.7 J (to 2 sig. fig.)

Hope it helps ✨✨

Which type of intelligence (analytic, creative, practical, verbal, mathematical, spatial, bodily-kinesthetic, musical, interpersonal, interpersonal, naturalist, or existentialist) does this individual has.


Professor Wooddro teaches an Introduction to Philosophy at the college. He loves to talk with students about the meaning of life and death and enjoys struggling with life's most challenging questions.

Answers

Answer:

verbal, Intrapersonal

Explanation:

Remember, we are told that "Professor Wooddro teaches an Introduction to Philosophy at the college, and loves to talk about the meaning of life and death" which would require having verbal intelligence (the ability to understand and relate information using words).

Intrapersonal intelligence is also reflected by Professor Wooddro as we are told he "enjoys struggling with life's most challenging questions", which shows his knowledge of his own strengths or weaknesses.

A book with a mass of 1kg is dropped from a height of 3m . What is the potential energy of th book when it reaches the floor?​

Answers

Answer:

30 J

Explanation:

height = 3 m

mass = 1kg

acceleration due to gravity = 10m/s²

Potential Energy = mass× gravity × height

= 1kg ×10m/s²× 3m

= 30 J

When the air resistance can be ignored the velocity of an object dropped initially from rest is given by following equation where g is free fall acceleration

g*t^2/2
g*t
g*t/2
g

Answers

Answer:

v = gt

Explanation:

From the question given, we obtained the following information:

Initial velocity (u) = 0 m/s

Acceleration due to gravity (g) = g

Time (t) = t

Final velocity (v) =.?

Thus, we can obtain the velocity as illustrated below:

v = u + gt

v = 0 + gt

v = gt

Thus, the equation for the velocity is

v = gt

What is a scientific theory?

Answers

Answer:

Scientific theories are explanations of some aspect of the natural world based on repeated observations.

Hope this helps!!!!

Answer:

The way that scientists use the word 'theory' is a little different than how it is commonly used in the lay public," said Jaime Tanner, a professor of biology at Marlboro College. "Most people use the word 'theory' to mean an idea or hunch that someone has, but in science the word 'theory' refers to the way that we interpret facts.

Explanation:

does anyone know how to do this

Answers

i had a test similar to this but i don’t remember sry. good luck with it all i know is t = 4m

I need help with this physics question

Answers

Answer
B.
Your welcome I just finished that same test

The frequency of a F-sharp sound wave in music is 370 Hz, and its wavelength is 0.93 m. what is the wave speed?

Answers

Answer:

wave speed =344.1 m/s

using v=fΠ

where v is the speed

The wave speed will be 344.1 m/sec. The wave speed is found as the product of the wavelength and the frequency of the wave.

What is wavelength?

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.

The given data in the problem is;

v is the speed = ?

f is the frequency= 370 Hz

λ is the wavelength of the wave=0.96 m

The relationship between the wave's wavelength, frequency, and speed is given as;

wavelength = speed of wave / frequency

[tex]\rm \lambda = \frac{v}{f} \\\\ v = \lambda \times f \\\\ v = 0.93 \times 370 \ Hz \\\\ v= 344.1 \ m/sec[/tex]

Hence, the wave speed will be 344.1 m/sec.

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I’m so confused I don’t get what I have to put in

Answers

Answer:

inner planets are the first couple of planets by the sun so for the character for the internal planets are what they are like are they made up of gas, rock/solid stuff and the atomsphere is like is it toxic or safe to breath

If a hypothesis is.......
additional tests should be done to ensure accurate results.
a. correct
b.incorrect
c. unknown
d. inconclusive

Answers

Answer:

a correct

Explanation:

a hypothesis is a supposition made of a basis of limited evidence

I think the answer is a: correct

I WILL GIVE BRAINLIEST A battery contains two metals that have different tendencies to attract electrons. If one is lithium with an electron affinity of −3.05, and the other is zinc with an electron affinity of −0.76, describe how the electrons will flow. Then, describe how you could make this an even stronger battery. (4 points)

Answers

Answer:

electrons will flow from lower (lithium) to higher (zinc)

You can make a stronger battery by having a larger electron affinity difference.

Hope this helps \(-._.-)/

PLEASEEE HELPPPPPPP:
A current of 15 Amps flows through a circuit with a resistance of 0.10 Ohms. What is the voltage?

Answers

V(voltage) = I(current)R(resistance)
substitute in the values

V = 15 * 0.10
V = 1.5 volts

A current of 15 amperes is flowing with a resistance of 0.10 ohms, then the voltage will be equal to 1.5 volts.

What is Electrical energy?

When put in an electromagnetic field, charged matter experiences a force due to the fundamental property of electric charge. Positive or negative electrical ions are possible.

When two charges are in opposition to one another, they repel one another. The term "neutral" refers to an object that has no net charge. The early understanding of the way charged particles interact is now referred to as classical electrodynamics, and it is still true for issues that do not demand taking into account quant phenomena.

Electrical charge is a preserved attribute, meaning that the net charge of an isolated system—that is, the sum of the positive and negative charges—cannot change. Particles at the subatomic level carry an electric charge.

As per the data given in the question,

Current, I = 15 A

Resistance, R = 0.10 ohms

Then, the voltage (V) will be,

V = RI

V = 15 × 0.10

V = 1.5 volts.

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HELP ME PLEASE. i need to turn this in by tomorrow, also pls use the words above^ thank you i’ll mark u the brainliest.

Answers

Answer:

the corrdct answer is core

The mining-resource cycle determines the use of ore materials. Which step is not part of the cycle?

A)
exploring and extracting ores
B)
refining ores and creating products from ore materials
C)
marketing and selling products that use ore materials
D)
recycling and disposing of wastes from the steps and the products

Answers

Answer:

c) marketing and selling products that use ore materials

a meteor Falls towards Earth's surface given that the acceleration due to gravity is 9.8 m/s^2 what is the meteors potential energy if it has a mass of 20kg at an altitude of 500

Answers

Answer: It’s 98,000

Explanation: Just did it on apex

1.) A hover disc is moving across a wooden floor with a constant velocity and virtually no friction. The soccer
disc runs into a baseball, which applies a force of 5 N opposing the motion of the disc. What will happen to
the soccer discs velocity

Answers

Answer:

The soccer discs will be change.

Explanation:

Given that,

Opposing force = 5 N

We know that,

Drag force :

Drag force is directly proportional to the square of velocity.

[tex]F_{d}\propto v^2[/tex]

[tex]F_{d}=\dfrac{1}{2}C\rho Av^2[/tex]

Where, C = drag constant

[tex]\rho[/tex] = density

A = area

v= velocity

We need to find what happen to  the soccer discs velocity

According to drag force,

If we applies a force of 5 N opposing the motion of the disc then the velocity of the soccer discs will be change.

Hence, The soccer discs will be change.

What happens to the change in the value of the speed as you increased the amount of force applied on your
chosen Item

Answers

The change of speed is proportional to the Force. If you double the Force, you double the change of speed.

If you increased the amount of force applied on your chosen Item, rate of increase of  its velocity with time will increase.

What is force?

An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.

The definition of force in physics is: the push or pull on a mass-containing item changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

So, if you increased the amount of force applied on your chosen Item, its acceleration will be increased and rate of increase of velocity with time will increase.

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Fy is the reaction force from Plate Y. What Statement best describes the action and reaction forces on the plates? Tectonic plates

Answers

Answer:

According to Newton's third law of motion, the reaction force is equal to the action force.

Explanation:

Newton's third law of motion states that for every action there is an equal and opposite reaction. This means that if one object exerts a force on a second object, the second object exerts an equal force in the opposite direction. When Plate X pushes on Plate Y with the action force (Fx), Plate Y must push back with an equal force (Fy).

Therefore, the best explanation is that according to Newton's third law of motion, the reaction force is equal to the action force.

For every action, there has equal and opposite reaction - this statement best describes the action and reaction forces on the plates.

What is Newton's 3rd law of motion?

As a result of this interaction, there are two forces: one from plate X and one from plate Y. The third law of motion of Newton deals with these two forces, which are referred to as action and reaction forces. Newton's third law is officially expressed as follows: There is an equal and opposite reaction to every action.

The implication of the statement is that there are always two forces acting on the two interacting objects. The force acting on the first object is equal in size to the force acting on the second. The force acting on the first object is acting in the opposite direction to the force acting on the second object. Force pairs—equal and opposing action-reaction force pairs—always exist in pairs.

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Given 1 inch ≡ 2.54 cm and 1 foot ≡
12 inches, how many square centimeters are
in 3.22 ft2
?

Answers

Answer:

2991.47 [cm^2]

Explanation:

To solve this problem we must perform a dimensional analysis and use the corresponding conversion values:

[tex]3.22[ft^{2}]*\frac{12^{2}in^{2} }{1^{2}ft^{2}} *\frac{2.54^{2}cm^{2} }{1^{2}in^{2} } \\2991.47[cm^{2}][/tex]

Tim Kylie is one of the world's top chefs. He is best known for his signature dish, triple-dipped chip steak. This masterpiece contains over a pound of beef braised in duck fat. Another of Chef Kylie's more celebrated dishes is the Hamslaughter Supreme. This dish features ham stuffed sausage links presented in a basket made of braided bacon. While carnivores around the world roar for Chef Kylie's creations, it is unlikely that Chef Kylie will dine with them. As a longtime vegan, Chef Kylie would never dream of devouring one of his own dishes. What type of irony? explain your answer


Answers

Answer:

situational irony

Explanation:

Based on the scenario being described, this seems to be an example of situational irony. That is because the irony in this scenario is that Tim's most popular and world-renown cooking creations are made of meat but Tim is a vegan and does not consume meat, which all revolves around the situation that Tim is in. Since he can't enjoy the meals with his fans because he does not eat the ingredients in his own creation. Therefore, being specific to the situation that Tim has created.

how many apples are in 29 trees if each tree has 45 apples?

Answers

Answer:

1305 I think but not sure

Its 1305 because 29 x 45 = 1305

Using only one management style with all people is the most effective leadership technique for any organization.

Answers

Answer:

False

Explanation:

More than one management style with all people is the most effective leadership technique for any organization. So, the given statement is False.

What is Leadership technique?

Leadership styles are defined as those adopted by company leaders to increase efficiency, satisfaction, growth and advancement in all positions in the organization. It requires a different style in different situations and each leader needs to know when to show a special behavior.

These strategies define every leader's personal leadership style. Some effective leadership Techniques are as follows:

Understanding the objectives clearlyGet to know the teamAlways be a learnerListen.Learn to delegate.

Thus, more than one management style with all people is the most effective leadership technique for any organization. So, the given statement is False.

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A 2000 kg car moves along a horizontal road at speed vo

15.9 m/s. The road is

wet, so the static friction coefficient between

the tires and the road is only pls 0.105 and

the kinetic friction coefficient is even lower,

= 0.0735.

The acceleration of gravity is 9.8 m/s2.

What is the shortest possible stopping dis-

tance for the car under such conditions? Use

g= 9.8 m/s² and neglect the reaction time of

the driver.

Answer in units of m.

Answers

Answer:

The shortest possible stopping distance of the car is 175.319 meters.

Explanation:

In this case we see that driver use the brakes to stop the car by means of kinetic friction force. Deceleration of the car is directly proportional to kinetic friction coefficient and can be determined by Second Newton's Law:

[tex]\Sigma F_{x} = -\mu_{k}\cdot N = m \cdot a[/tex] (Eq. 1)

[tex]\Sigma F_{y} = N-m\cdot g = 0[/tex] (Eq. 2)

After quick handling, we get that deceleration experimented by the car is equal to:

[tex]a = -\mu_{k}\cdot g[/tex] (Eq. 3)

Where:

[tex]a[/tex] - Deceleration of the car, measured in meters per square second.

[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

If we know that [tex]\mu_{k} = 0.0735[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then deceleration of the car is:

[tex]a = -(0.0735)\cdot (9.807\,\frac{m}{s^{2}} )[/tex]

[tex]a = -0.721\,\frac{m}{s^{2}}[/tex]

The stopping distance of the car ([tex]\Delta s[/tex]), measured in meters, is determined from the following kinematic expression:

[tex]\Delta s = \frac{v^{2}-v_{o}^{2}}{2\cdot a}[/tex] (Eq. 4)

Where:

[tex]v_{o}[/tex] - Initial speed of the car, measured in meters per second.

[tex]v[/tex] - Final speed of the car, measured in meters per second.

If we know that [tex]v_{o} = 15.9\,\frac{m}{s}[/tex], [tex]v = 0\,\frac{m}{s}[/tex] and [tex]a = -0.721\,\frac{m}{s^{2}}[/tex], stopping distance of the car is:

[tex]\Delta s = \frac{\left(0\,\frac{m}{s} \right)^{2}-\left(15.9\,\frac{m}{s} \right)^{2}}{2\cdot \left(-0.721\,\frac{m}{s^{2}} \right)}[/tex]

[tex]\Delta s = 175.319\,m[/tex]

The shortest possible stopping distance of the car is 175.319 meters.

The force of gravity depends on the mass of objects and the distance between them. TRUE OR FALSE?

Answers

It is TRUE, Force is proportional to the product of the masses and inversely proportional to the square of the distance between them.

The force of gravity depends on the mass of objects and the distance between them. This is true statement.

What is force?

Physics defines force as the push or pull that modifies the velocity of a massed object.

The ability to change a body's resting or moving condition is referred to as an external force. There is a magnitude and a direction to it.

You may determine the Force using a spring balance. The SI's measure of force is the Newton.

The force of gravity between two objects is directly proportional to the mass of the object and inversely proportional to the square of the distance between them.

Hence, the force of gravity depends on the mass of objects and the distance between them. This is true statement.

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a student pushes a book with a force of 5 N to the east.which statement
describes the reaction force?

Answers

Answer:

5N westward, acting on the student

Explanation:

Answer: 5N westward, acting on the student

Explanation:

If a car travels 40 mph for a distance of 1680 miles, how much time did it take?

Answers

Answer:

42 hour

Explanation:

It is given that,

Speed of a car, v = 40 mph

Distance covered by the car, d = 1680 miles

We need to find the time taken by the car to cover this distance. We can find it using the formula of speed which is equal to the distance covered divided by the time taken. Let the time is t.

speed = distance/time taken

[tex]t=\dfrac{d}{s}\\\\t=\dfrac{1680\ \text{miles}}{40\ \text{mph}}\\\\t=42\ \text{hour}[/tex]

Hence, the car will take 42 hours to cover 1680 miles with a speed of 40 mph.

What does Newton's third law describe?
A. Equal and opposite forces
B. How the amount of mass influences the amount of force needed
to move an object
C. The tendency of moving objects to stay in motion
D. The attractive force between two objects due to their masses

Answers

A. Equal and opposite forces

Explanation:
History law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exert an equal and opposite force on object A
Other Questions
how do you lose face fat Consider the two lists A and B. List A is an anagram of list B if the following two conditions are true: 1.list A and list B have the same number of elements 2.each element of list A occurs the same number of times in list A and list BFor example, [3, 2, 4, 1, 2] and [2, 2, 3, 1, 4] are anagram of each other, but [2, 3, 1, 2] and [1, 3, 1, 2] are not. Write a function named isAnagram that takes two lists of integers as parameters: lstA and lstB. The function isAnagram should return the bool value True if lstA is an anagram of lstB and False otherwise. The following is an example of correct output: >>> print(isAnagram([14, 10, 19], [10, 14, 19]))True PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE 30 POINTS A contractor purchases ceramic tile to remodel a kitchen. Each tile costs $4, and the adhesive and grouting material costs $17.82. If the contractor is charged a total of $581.82, how many ceramic tiles did the contractor purchase? Whats the flow of matter in DESSERT food web?? HELP Is the product of 0.4 * 1.8 greater then or less then 0.4 The table shows the makeup of a New Years Eve television show. What fraction of the show will be for the audience to speak?Table:Introduction: 10%Skits: 25%Guests: 45%Audience: 20% What is the current in the 30.0 o resistor?2.00A32.0A4.00A30.0A You plan on using cost-based pricing. The cost of your product is $10, and you are planning a 30% mark-up. What should the price of your product be? The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored The mapping diagram shows a functional relationship.Complete the statement.f(3) isDomainRange03Tomos-199 Why is the golden rule important three sentences about the role termites play in modifying the natural proses of water carbon or nitrogen cycle Which detail foreshadows the idea that the White's have found a way to interfere with fate?A. "It's colder for my son," said the old woman, and wept afresh.B. A sudden wild cry from his wife awoke him with a start.C. He raised himself in bed and listened.D. "The paw!" she cried wildly. "The monkey's paw what is the difference between the physical layers and the composition layers : The average student college loan rate is 4%. You borrowed $18,000 per year for 4 years for tuition, room, & board. If the interest is computed as simple interest, annually, how much interest will you owe when you graduate. Assume 4 years interest on the freshman year loan, 3 years on the sophomore loan, 2 years on the junior loan, and 1 year on the senior loan. Lambda Computer Products competed for and won a contract to produce two prototype units of a new type of computer that is based on laser optics rather than on electronic binary bits. The first unit produced by Lambda took 5,000 hours to produce and required $250,000 worth of material, equipment usage, and supplies. The second unit took 4,250 hours and used $237,500 worth of materials, equipment usage, and supplies. Labor is $20 per hour. Use Exhibit 6.5. a. Lambda was asked to present a bid for 10 additional units as soon as the second unit was completed. Production would start immediately. What would this bid be 13 and 5/8 plus 7/8 please answer quickly Why is Eddie coughing at the beginning of "The Fourth Person"? What are the values of x and y if this equation is true?22(x + yi) + (28 + 4i) 72 62i