Under normal conditions, what color do we expect diamonds to be?​

Answers

Answer 1
Under normal lighting conditions, most diamonds appear to be colorless the naked eye. Many consumers think that all diamonds are colorless, however, in reality, they come in a wide range of colors. Actualcolor differences are very subtle.

Related Questions

We reduce friction in machines? why

Answers

Answer:

friction reduces the efficiency of machines, thus we must reduce the friction force that is acting upon it.

Answer:

Because it causes a lot of wear and tear in machine parts that move against each other. It erodes the surfaces and destroys their symmetries

Explanation:

Is the answer correct

Is the answer correct

Answers

The normal force exerted by the seat of the chair on the person when he passes through the highest point is 1,040 N.

What is the normal force exerted by the seat?

The normal force exerted by the seat of the chair on the person when he passes through the highest point is calculated as;

Fn = ma - W

where;

a is centripetal accelerationm is mass of the personW is the weight of the person

The centripetal acceleration is calculated as follows;

a = v² / r

a = ( 10² ) / 5

a = 20 m/s²

The mass of the person is calculated as follows;

m = W / g

m = 1000 / 9.8

m = 102 kg

Fn = ma - W

Fn = ( 102 x 20) N  -  1000 N

Fn = 1,040 N

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What must happen for electricity to be useful in your home?

Answers

Answer:

current must flow and chemical energy must take place

A train decelerates uniformly at a rate of 2 m/s2 and comes to a stop in 10 seconds. Find the initial velocity of the train.

Answers

The initial velocity of the train is 20m/s when the train decelerates uniformly at a rate of 2m/s2. It means that initially, at time = 0 seconds, the train was moving with a velocity of 20m/s.

We know that,

v = u +at

where, v = final velocity

u = initial velocity

a = acceleration

t = time taken

In this case, as the train is decelerating we will use a negative sign with acceleration.

Substituting the values we get,

v = u + (-2)(10)

v will be equal to zero, as the train comes to a stop.

0 = u - 20

u = 20 m/s

Hence, the initial velocity of the train is 20m/s when the train decelerates uniformly at a rate of 2m/s2 and comes to a stop in 10 seconds.

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Which statement describes a question that can be answered by a scientific
investigation?
A. It is a question that can be answered by gathering other scientists'
opinions.
B. It is a question that can be answered by gathering data during an
experiment.
C. It is a question about a phenomenon of which no measurements
can be taken.
D. It is a question about the sequence of experimental steps.

Answers

Answer:

Its b

Explanation:

I just did this question

The question that can be answered by scientific investigation is that can be answered by gathering  data during an experiment. Thus option B is correct.

What is scientific investigation?

Investigation on a natural phenomenon or process to solve a scientific question or to solve a social or environmental issue by well designed experiments based on reasonable observations is called scientific investigation.

A scientific investigation includes, variables, hypothesis , observations, research  methodology. Scientific experiments have to well designed to address all the outcomes of the observations and  must be feasible to prove whether the hypothesis is true or not.

Scientific investigations cannot be conducted based on only opinions from scientists or scientific record. The data have to be collected through experiments conducted by well designed research methodology.

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Which of these devices are not based on magnetic effect of electric current? (Room heater, Magnetic crane, Electric bell, Loud speaker)

Answers

Room heater. The electric current's magnetic action is not the foundation of the space heater. Devices that depend on the magnetic effect of electric current to work include the magnetic crane, , and loudspeaker.

The magnetic crane creates a magnetic field that can lift large things using an electromagnet. The magnetic field produced by the electric bell's usage of an electromagnet forces a metal clapper to strike a bell, emitting a ringing sound. An electromagnet in the loudspeaker causes a diaphragm to vibrate, creating sound waves that can be perceived by the human ear. In contrast, the usual mechanism of a room heater is the use of a resistor or heating element to transform electrical energy into heat energy. After that, the heat is radiated or convected.

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Define Wavelength
please and quick thx!

Answers

Wavelength is defined by Velocity of the wave by Frequency

Symbolically

\(\\ \ast\bull\rm\longmapsto \lambda=\dfrac{c}{v}\)

C is speed of wavev is frequencylambda is wavelength

List each of the parts of the electromagnetic spectrum in order of lowest to highest frequency. Write down one use for each one, and a possible danger of each. Which end of the spectrum is most dangerous and why?

Answers

Answer:

In order from highest to lowest energy, the sections of the EM spectrum are named: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves.

Diffraction explains

Diffraction explains

being able to hear sounds from outside a room throughout the whole room

creating images to adjust for eye problems

allow for the formation of rainbows

transmit images over long distances

Answers

An  example of diffraction is being able to hear sounds from outside a room throughout the whole room.

What is diffraction?

The term diffraction has to do with the bending of waves around an obstacle which causes the waves to spread out as they emerge on the other side.

One typical example of diffraction is being able to hear sounds from outside a room throughout the whole room.

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Instructions: Answer the following questions in the space provided. Be sure to write your responses in complete sentences.
A father pushes his daughter and son on a sled down a hill.

Part A: Other than the force exerted by the father pushing the sled, identify two additional forces that act on the sled as it travels from the top of the hill to the bottom. (2 pts)
Part B: Explain how each force you identified in Part A will affect the motion of the sled. (2 pts)

Answers

(A) The two additional forces that act on the sled as it travels from the top of the hill to the bottom are friction force and weight of the children.

(B) The force of friction is opposing the motion while the weight of the children is assisting the downward motion.

What are the forces exerted on the sled?

The forces that act on the sled as it travels from the top of the hill to the bottom with either aid the downward motion or oppose the downward motion.

The forces acting on the sled include the following;

the force applied by the fatherthe weight of the children acting normal to the surface of the sledthe force of friction acting upwards to oppose the downward motion

The weight of the children is acting downwards and it will increase the motion downwards since there in the same direction.

The force of friction between the surface of the sled and the hill will oppose the downward motion of the children as the father exerts the downward force.

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A series RLC circuit consists of a 260 Ω resistor, a 25 mH inductor, and a 18 μF capacitor.
a. What is the rms current if the emf is supplied by a standard 120 V , 60 Hz wall outlet?
b. The voltage-to-current ratio in the primary coil of a transformer can be though of as the transformer's effective resistance. A step-down transformer converts 120 V at the primary to 25 V at the secondary, which is connected to a load of resistance 6.0 Ω .
c. What is the effective resistance of this transformer when connected to this load? (Hint: Resistance is defined as the ratio of two circuit quantities.)

Answers

a) The rms current is 0.52A.

b) The Voltage-to-current ratio is 4.17 and effective resistance is 5.99 Ω.

c)  The effective resistance is 5.99 Ω.

a. To find the rms current in the series RLC circuit, we need to calculate the impedance of the circuit first using the formula Z = sqrt(R² + (XL - XC)²), where R is the resistance, XL is the inductive reactance, and XC is the capacitive reactance.

Using the given values, we can calculate the impedance as:

XL = ωL = 2πfL = 2π(60 Hz)(25 mH) = 9.42 Ω

XC = 1/(ωC) = 1/(2πfC) = 1/(2π(60 Hz)(18 μF)) = 147.2 Ω

Z = sqrt((260 Ω)² + (9.42 Ω - 147.2 Ω)²) = 231.4 Ω

Now, we can find the rms current using Ohm's law, I = V/Z, where V is the voltage supplied by the wall outlet (120 V):

I = 120 V / 231.4 Ω = 0.52 A (rounded to two significant figures)

b. The effective resistance of the transformer can be found using the formula R_eff = V_secondary / I_secondary, where V_secondary is the voltage at the secondary and I_secondary is the current through the load connected to the secondary.

We are given that the secondary voltage is 25 V and the load resistance is 6.0 Ω. To find the current through the load, we can use Ohm's law:

I_secondary = V_secondary / R_load = 25 V / 6.0 Ω = 4.17 A

Now we can calculate the effective resistance of the transformer as:

R_eff = V_secondary / I_secondary = 25 V / 4.17 A = 5.99 Ω (rounded to two significant figures)

c. The effective resistance of the transformer when connected to the given load is approximately 5.99 Ω.

This value represents the equivalent resistance that would produce the same voltage-to-current ratio as the transformer, which depends on the turns ratio between the primary and secondary coils.

This effective resistance is important for calculating the power delivered to the load, as well as for designing and analyzing electrical systems that use transformers.

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Using a cable with a tension of 1350 N , a tow truck pulls a car 5.00 km alond a horizontal roadway. (a) how much work does the cable do on the car if it puls horizontally ? if it pulls at 35.0 degrees above the horizontal ? (b) how much work does the cable do on the tow truck in both cases of part (a)? (c) how much work does gravity do on the car in part (a)?

Answers

Using a cable with a tension of 1350 N , a tow truck pulls a car 5.00 km alone a horizontal roadway. Therefore,

(a) Cable work: 6,750,000 J horizontally.

(b) Cable work: 6,308,250 J at 35.0° above horizontal.

(c) No work by gravity.

To calculate the work done by the cable in each scenario, we need to consider the angle between the direction of the force applied and the displacement.

(a) If the cable pulls horizontally (0° above the horizontal):

In this case, the angle between the force and the displacement is 0 degrees, so the work done can be calculated as:

Work = Force * Displacement * cos(Ф)

Work = 1350 N * 5000 m * cos(0°)

Work = 1350 N * 5000 m * 1

Work = 6,750,000 J

The cable does 6,750,000 Joules of work on the car when it pulls horizontally.

(b) If the cable pulls at 35.0 degrees above the horizontal:

In this case, the angle between the force and the displacement is 35.0 degrees, so the work done can be calculated as:

Work = Force * Displacement * cos(Ф)

Work = 1350 N * 5000 m * cos(35.0°)

Work = 1350 N * 5000 m * 0.819

Work = 6,308,250 J

The cable does approximately 6,308,250 Joules of work on the car when it pulls at 35.0 degrees above the horizontal.

(c) The work done by gravity on the car is zero because gravity acts vertically downward, perpendicular to the displacement along the horizontal roadway. Therefore, the gravitational force does not contribute to the work done on the car in this scenario.

In both cases (a) and (b), the cable does the same amount of work on the tow truck as on the car since they are connected by the cable. So the work done by the cable on the tow truck would be equal to the values calculated above: 6,750,000 J in case (a) and 6,308,250 J in case (b).

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ACTIVITY 4
Applying the equation learned, answer the following problems:

1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?

Given:

Find:

Formula:

Solution:

2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?

Given:

Find:

Formula:

Solution:

3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?

Given:

Find:

Formula:

Solution:​

Subject Is Science

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ACTIVITY 4Applying the equation learned, answer the following problems: 1. A bowling ball whose mass

Answers

Answer:

1)  10 kg-m/s

2)  2 kg

3)  20 m/s

Explanation:

The momentum of an object can be calculated using the equation:

\(\large\boxed{p=mv}\)

where:

p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).

\(\hrulefill\)

Question 1

For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.

Given values:

m = 4.0 kgv = 2.5 m/s

Substitute the given values into the momentum formula and solve for p:

\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)

\(p=10\;\text{kg m/s}\)

Therefore, the momentum of the bowling ball is 10 kg-m/s.

\(\hrulefill\)

Question 2

For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.

Given values:

p = 6.0 kg-m/sv = 3.0 m/s

As we want to find mass, rearrange the momentum formula to isolate m:

\(\large\boxed{m=\dfrac{p}{v}}\)

Substitute the given values into the formula and solve for m:

\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)

\(m=2\;\text{kg}\)

Therefore, the mass of the skateboard is 2 kg.

\(\hrulefill\)

Question 3

For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.

Given values:

p = 10 kg-m/sm = 0.5 kg

As we want to find velocity, rearrange the momentum formula to isolate v:

\(\large\boxed{v=\dfrac{p}{m}}\)

Substitute the given values into the formula and solve for v:

\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)

\(v=20\;\text{m/s}\)

Therefore, the velocity of the baseball is 20 m/s.

ANSWER ASAP!!!If a wave machine produces 10 waves in 2 seconds, what is the frequency of the machine in Hertz?

Answers

Answer:

5Hz

Explanation:

Frequency = No. of waves per second

10 waves are produced in 2 seconds

in one second 10/2 waves are produced

(ie) 5 waves are produced in 1 second

Therefore the frequency of wave is 5 Hz

g For an object undergoing a uniform circular motion with radius 5.67 m and period 3.25 sec, the centripetal acceleration (m/s2) is:

Answers

The centripetal acceleration of the object is 4 m/s^2.The centripetal acceleration of an object undergoing uniform circular motion can be calculated using the formula:

centripetal acceleration = (velocity^2) / radius

In this case, we are given the radius of the circular motion as 5.67 m and the period (time taken to complete one full revolution) as 3.25 sec. To find the velocity, we can use the equation:

velocity = (2 * π * radius) / period

Substituting the given values, we get:

velocity = (2 * 3.14 * 5.67) / 3.25 = 11.38 m/s

Now, we can calculate the centripetal acceleration using the formula mentioned earlier:

centripetal acceleration = (11.38^2) / 5.67 = 22.76 / 5.67 = 4 m/s^2

Therefore, the centripetal acceleration of the object is 4 m/s^2.

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The centripetal acceleration of the object is 4 m/s^2.The centripetal acceleration of an object undergoing uniform circular motion can be calculated using the formula:

centripetal acceleration = (velocity^2) / radius

In this case, we are given the radius of the circular motion as 5.67 m and the period (time taken to complete one full revolution) as 3.25 sec. To find the velocity, we can use the equation:

velocity = (2 * π * radius) / period

Substituting the given values, we get:

velocity = (2 * 3.14 * 5.67) / 3.25 = 11.38 m/s

Now, we can calculate the centripetal acceleration using the formula mentioned earlier:

centripetal acceleration = (11.38^2) / 5.67 = 22.76 / 5.67 = 4 m/s^2

Therefore, the centripetal acceleration of the object is 4 m/s^2.

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A man performed 500 J of work moving a couch in his living room. It took him 10 seconds to move the couch. What was his power?  A. 50 W  B. 490 W  C. 5000 W  D. 100 W

Answers

Answer:

A. 50 W

Explanation:

Power = work / time

P = 500 J / 10 s

P = 50 W

How much energy does your soda lose if 25.0g of water condenses on the outside of the can?

Answers

The mass given is 25.0 grams. As for the change in temperature, I will assume that it start off at room temperature, 25°C.

An electromagnetic wave Here is a particular electromagnetic field in free space: (9.64) Er Eo sin at), E B2 (Eo/c) sin (kx -t cat). Show that this field can satisfy Maxwell's equations if w and k are related in a certain way.

Answers

Maxwell's equations describe the behavior of electromagnetic waves. In this particular electromagnetic field, we can see that the electric field (E) and magnetic field (B) are perpendicular to each other and both vary sinusoidally with time and distance.

To show that this field satisfies Maxwell's equations, we need to confirm that it satisfies the wave equation.
The wave equation relates the second derivative of the electric field with respect to distance (x) to the second derivative of the electric field with respect to time (t), and similarly for the magnetic field. When we apply the wave equation to this field, we find that w^2 = c^2k^2, where w is the angular frequency and c is the speed of light.

This relationship between w and k is known as the dispersion relation and it ensures that this particular electromagnetic field satisfies Maxwell's equations. In summary, the electromagnetic field given by (9.64) can satisfy Maxwell's equations if the angular frequency (w) and wave number (k) are related through the dispersion relation w^2 = c^2k^2.

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g neglecting heat losses in the system, what is the amount of time t will it take to boil the water in the cup?

Answers

The initial temperature of the water, the heat source, and the volume of water being boiled are some of the variables that affect how long it takes to boil water.

How do you calculate the amount of heat that water loses?

4.18 J/g/°C is the specific heat capacity of water. What we are interested in is the quantity of heat, or Q. To do this, we would apply the formula Q = m•C•T. The m, C, and T can be calculated using the initial and final temperatures.

What's the heat equation?

How much heat is gained or lost by a sample can be calculated using the equation q = mcT, where m is the mass of the sample, c is the T represents the change in temperature, while S is specific heat (q).

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In general, as a reaction proceeds to make more products, reaction rate decreases
true or false?

Answers

The given statement "In general, as a reaction proceeds to make more products, reaction rate decreases" is true.

This is because as the concentration of reactants decreases, there are fewer collisions between particles, leading to a slower rate of reaction. Additionally, some reactions may also be limited by factors such as the availability of reactants or the presence of catalysts.

However, there are some reactions where the opposite may be true, such as in a chain reaction where the formation of one product can trigger the formation of more products, leading to an increase in reaction rate.

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All of the following are sources of calories except HELP ASAP!!!

All of the following are sources of calories except HELP ASAP!!!

Answers

Answer:

vitamins don't contain calories

a 60 g g ball of clay traveling at speed 6.5 m/s m / s hits and sticks to a 1.0 kg k g block sitting at rest on a frictionless surface. what is the speed of the block after the collision?

Answers

A 60 g ball of clay traveling at speed 6.5 m/s m / s hits and sticks to a 1.0 kg k g block sitting at rest on a frictionless surface. The speed of the block after the collision is approximately 0.368 m/s.

After the collision, the speed of the block can be found using the conservation of momentum principle.

The initial momentum of the system is equal to the final momentum of the system.

Initial momentum = (mass of clay * velocity of clay) + (mass of block * velocity of block)

Final momentum = (mass of clay + mass of block) * final velocity
60 g = 0.06 kg (convert to kg)
1.0 kg block is at rest, so its initial velocity = 0 m/s.

Initial momentum = (0.06 kg * 6.5 m/s) + (1.0 kg * 0 m/s) = 0.39 kg m/s
Final momentum = (0.06 kg + 1.0 kg) * final velocity
Since, Initial momentum = Final momentum, we have

0.39 kg m/s = (1.06 kg) * final velocity
Final velocity = 0.39 kg m/s / 1.06 kg

Final velocity  ≈ 0.368 m/s

The speed of the block after the collision is approximately 0.368 m/s.

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Applied force in garlic and effect of action applied

Answers

When a force is applied to an object, it can cause a change in the object's motion or state of rest.

If the force is unbalanced, it can cause the object to accelerate or decelerate, resulting in a change in speed or direction. The effect of the applied force depends on the mass and nature of the object, as well as the magnitude and direction of the force. Additionally, the object may experience other effects, such as deformation or compression, depending on the type and direction of the force applied. Understanding the effects of applied forces is crucial in fields such as engineering, physics, and mechanics.

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--The complete question is, When force is Applied  on an object describe effect of action applied. --


The average man requires 8400 kj of energy per day. How many pounds of carbohydrate at 16.74 Kj/g must be consumed to obtain that energy

Answers

To obtain the required 8400 kj of energy per day, one would need to consume approximately 18.53 pounds of carbohydrates at 16.74 Kj/g.

To determine the number of pounds of carbohydrates needed to obtain 8400 kj of energy per day, we can use the conversion factor of 16.74 Kj/g.

First, we need to convert 8400 kj to grams. Since 1 kj is equal to 1 gram, 8400 kj is equal to 8400 grams.

Next, we can convert grams to pounds. There are 453.592 grams in a pound, so dividing 8400 grams by 453.592 gives us approximately 18.53 pounds.

Therefore, to obtain 8400 kj of energy per day, one would need to consume approximately 18.53 pounds of carbohydrates.

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Hola puntos gratis !!!!!!!!!!!!!!!!!

Answers

Answer:

gracias

Explanation:

Hello.

Brainly points can be used for better situations, brainly points are experience that you receive by answering well.

The distance between two crests of a wave is called 'wavelength*
true
false

Answers

True! True! True! Have an awesome day and please mark brainliest :)

elements and their properties section 2 chart

Answers

Answer:

Explanation:

i think this will help

elements and their properties section 2 chart

Children on the autism spectrum are at risk for nutritional deficiencies because?

Answers

Explanation: Research highlights the individuals with ASDS are nutritionally vulnerable because they exhibit a selective or pick eating pattern and sensory sensitivity that predisposes them to restricted intakes.

I hope this helps!

Has the stunt coordinator collected all of the measurements he needs in order to know if the car will hit Has the stunt coordinator collected all of the measurements he needs in order to know if the car will hit its target? 1) Yes, he only needs the height of the cliff and mass of the car. 2) Yes, he only needs the height of the cliff and the speed of the car. 3) Yes, he only needs the speed of the car and the mass of the car. 4) No, he needs to collect more measurements.

Answers

The stunt coordinator needs to collect a variety of measurements in order to determine if the car will hit its target or not. He needs the height of the cliff, the mass of the car, and the speed of the car.

Correct option is 2.

These measurements are essential in order to accurately calculate the trajectory of the car when it is dropped from the cliff. The car's mass will affect its speed, while the speed will affect how far the car can travel. The height of the cliff will determine the starting point of the car's trajectory and the amount of time it will take for the car to reach the bottom.

If any of these measurements are incorrect, the stunt coordinator will not be able to accurately predict the path that the car will take. Therefore, it is necessary for the stunt coordinator to collect all of these measurements in order to know if the car will hit its target.

Correct option is 2.

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Final answer:

The stunt coordinator needs more measurements besides just the speed of the car, the mass of the car, and the height of the cliff. These factors also include the angle of launch, the trajectory of the stunt and various environmental factors.

Explanation:

The question involves understanding whether the stunt coordinator has collected all necessary measurements. The answer is 4) No, he needs to collect more measurements. Understanding whether a car will hit its target in a stunt involves various factors: the speed of the car, the angle of launch, the mass of the car, the height of the cliff, the trajectory of the stunt, and environmental factors like air resistance and wind. It's not just about the height of the cliff and the mass of the car or just the speed of the car. Therefore, more measurements and considerations are necessary to ensure the stunt's success.

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Which property of a quarter is different on the International Space Station than it is on Earth?


Its mass
Its weight
Its volume
Its density

Answers

It’s Weight changes and the rest says the same
Other Questions
Which of the following refers to the elapsed time to respond to stimulus, such as responding while driving a car or catching a ball?A. AgilityB. PowerC. CoordinationD. Reaction time The graph shows the relationship between the number of months different students practiced baseball and the number of games they won:The title of the graph is Baseball Games. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Games Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)Part B: Write the equation for the line of best fit in slope-intercept form and use it to predict the number of games that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points) Determine the value of x will be marked BRAINLIEST Describe why the yield strength of a material is significantly less than the "ideal" yield strength. Which writing approach would best address the purpose and audience of thisprompt?Your town council is accepting opinions from residents about where anew sports field should be built. Two locations are being considered.Decide which location you think is best and argue for your choice.O A. Write an email to the town council giving reasons in support ofyour preferred location.B. Write a letter to the local newspaper explaining that a newswimming pool would be more useful than a sports field.C. Create a flyer to pass out to your neighbors requesting theirsupport at an upcoming meeting of the town council.D. Deliver a speech to a group of fellow students asking for theiropinions on the best placement for the new field.Please hurry answer my question for 10 years of good luck write an essay on achieving a dream (the essay is supposed to be motivating especially now that there is a pandemic)pls help dont waste my points please :( If one wishes to examine the role of a particular amino acid at a specific position in a protein by changing it to another amino acid, the best approach would be:______ The cost for a pizza at Pizza-Rama depends on the size of the pizza and the number of toppings. For a large pizza, the cost in dollars, c, with t number of toppings can be determined with the equation c = 1.25t + 11.95. What does 1.25 represent in the equation?A) the cost of each toppingB) the number of toppingsC) the cost of a pizza with no toppingsD) the cost of a pizza with one topping In the Declaration of Independence, it says, all men are entitled to life,liberty, and the pursuit of happiness;" where did idea's like these comefrom? Find the mass of the two-dimensional object. A frisbee of radius 3 in with a density function of P(x) = e. In the United States cartels are Multiple Choice quite common in industries that produce nondurable goods. concentrated in monopolistically competitive industries. in violation of the antitrust laws. encouraged by government policy so firms can achieve economies of scale. $182 at 6% simple interest for 4 years. Find the interest earned on the account NextQuit XThe teachings of Confucius were originally aimed atOA) the emperorsB) farmers and commonersO C) military leadersOD) political administrators and advisers the answer A circle has the equation x2 - 10x + y2 + ny = 120. Its center is at (5,6).What is the value of n? An airfoil is a body designed to provide a [1] reaction force/moment when in motion [2] the surroundings. DeShawn's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 12 adult tickets and 2 child tickets for a total of $114. The school took in $227 on the second day by selling 11 adult tickets and 10 child tickets. What is the price each of one adult ticket and one child ticket? can square roots have a decimal value? if yes then how Consider a town in which only two residents, Hubert and Kate, own wells that produce water safe for drinking. Hubert and Kate can pump and sell as much water as they want at no cost. For them, total revenue equals profit. The following table shows the town's demand schedule for water.(a.) Suppose Hubert and Kate form a cartel and behave as a monopolist. What is the profit-maximizing price per gallon and total output in gallons? As part of their cartel agreement, Hubert and Kate agree to split production equally. What is Hubert's profit and Kate's profit?(b.) Suppose that Hubert and Kate have been successfully operating as a cartel. They each charge the monopoly price and sell half of the monopoly quantity. Then one night before going to sleep Hubert says to himself, "Kate and I aren't the best of friends anyway. If I increase my production to 35 gallons more than the cartel amount, I can increase my profit even though her profit goes down. I will do that starting tomorrow. After Hubert implements his new plan, what is the price of water per gallon? Given Kate's and Hubert's production levels, what are their profits now?(c.) Because Hubert has deviated from the cartel agreement and increased his output of water to 35 gallons more than the cartel amount, Kate decides that she will also increase her production to 35 gallons more than the cartel amount. After Kate increases her production, what are Hubert?s, Kate?s and total profits now? Tyron and Layla completed their divorce. Each of them will move into new cities and is interested to invest in a new home. Both of them have a monthly 1200 free to invest. They both take out a mortgage for 140,000. Whereas Tyron chooses a 30-year-long mortgage plan at a rate of 6.625%, Layla picks a 15-year mortgage at a rate of 6.25%. Additionally, any leftover money post mortgage payment is invested in a mutual fund with a return of 10% annually.a) What annual interest rate, when compounded monthly, gives an effective annual rate of 10%?b) What is Tyrons monthly payment?c) If Tyron invests the remainder of his $1200 each month, after the payment in part(b), in a mutual fund with the interest rate in part (a), how much money will he have in the fund at the end of 30 years?d) What is Leyla's monthly payment? The foreign substance responsible for causing an allergic reaction is called a(n):______.