a car with mass m1=1000kg moving at speed v1=6m/s hits a stationary truck with mass m2=5000kg. The impact is absolutely inelastic. Determine the speed of both car and truck immediately after the impact

Answers

Answer 1

Impact Speed means the maximum speed of impact tested upon the bumper of the vehicle pursuant to sections 581.6 and 581.7 of part 581 of title 49 of the Code of Federal Regulations.

In an inelastic collision, what occurs when two objects collide?An inelastic collision occurs when items cling together after impact and kinetic energy is not preserved. Because of this violation of conservation, the forces between colliding objects may convert kinetic energy to other types of energy, such as potential energy or thermal energy.To calculate the momentum of either individual vehicle, divide the total system momentum by two (approx. 11 200 kg*m/s). Once the momentum of the individual automobiles is known, the after-collision velocity may be calculated by simply dividing momentum by mass (v=p/m).

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Related Questions

The first scientist misidentified the fossil as that of a big cat. What body structure did he use to make his observations?

Answers

the answer to this question is a giant

A car accelerates from the rest at 1.5 m/s^2 for 10 sec. What made the car move?

Answers

Accelerating linearly is simple.

What is Acceleration?

When the velocity vector length of an object moving in a straight line changes in response to changes in the object's speed (speed being the magnitude of the velocity vector), we have acceleration. Increasing speed is frequently referred to as "positive acceleration" and decreasing speed as "negative acceleration."

A particle's acceleration is the rate at which its velocity changes over time. The term "constant acceleration" refers to the pace at which a particle's velocity changes.

We shall measure acceleration in metres per second per second because our basic units are metres and seconds.

Therefore, Accelerating linearly is simple.

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1. Compare and contrast sensation and perception.
2. Describe an example of sensory adaptation that you have experienced.
3. Why would it be difficult to play a sport such as baseball or basketball without the ability
to perceive depth?
4. Do you think that subliminal messages should be banned from advertising? Why or why
not?
5. What is your opinion about extrasensory perception? Do you think it exists? Explain your
answer.

Answers

1. Sensation refers to the process of receiving and encoding sensory information from the environment, while perception refers to the process of organizing and interpreting sensory information. Sensation occurs at the level of sensory receptors, while perception occurs in the brain.

2.An example of sensory adaptation that I have experienced is becoming accustomed to the smell of a perfume or cologne. When I first smell the fragrance, it is strong and distinct. However, as my senses become adapted to the smell, it becomes less noticeable to me.

3.It would be difficult to play a sport such as baseball or basketball without the ability to perceive depth because these sports require accurate spatial awareness and the ability to judge distances and heights. Without this ability, it would be difficult to accurately throw or hit a ball or to properly judge the distance to the basket.

4.It is a matter of debate whether subliminal messages should be banned from advertising. Some people argue that subliminal messages can influence people's behavior in a manipulative way, and therefore should be banned. Others argue that there is little evidence to suggest that subliminal messages are effective in influencing behavior and that banning them would be an unnecessary restriction on freedom of speech.

5.Extrasensory perception, also known as ESP, refers to the supposed ability to acquire information about the environment using means other than the known senses. There is no scientific evidence to support the existence of ESP, and the concept is generally considered to be pseudoscientific. As an AI, I do not have personal beliefs or opinions, but I can tell you that the scientific consensus is that ESP does not exist.

Across a resistor, voltage
a. drops
b. builds
c. speeds up

Answers

Answer:

drops

Explanation:

Ohm's Law states that V=I*R, where V is voltage, I is current and R is resistance. In a series circuit, the voltage drop across each resistor will be directly proportional to the size of the resistor. In a parallel circuit, the voltage drop across each resistor will be the same as the power source

Why the specific heat of water changed as the water state changed?​

Answers

Answer:

Infinity. Yes, specific value of water during phase change is infinity. This is because, as long as water is present and it is changing phase (at boiling point or at any other constant temperature), the temperature of the water does not change no matter what amount of heat you are supplying to the water. Thus, its specific heat value is infinity.

How much force is needed to accelerate a 100 kilogram car 5 meters per second?

Answers

The force needed to accelerate the mass of 100 kg is 500 N.

What is force?

Force is the product of mass and acceleration. The S.I unit of force is Newton (N).

To calculate the amount of force needed to accelerate the mass of 100 kg, we use the formula below.

Formula:

F = ma.................. Equation 1

Where:

F = Forcem = Mass a = Acceleration

From the question,

Given:

m = 100 kga = 5 m/s²

Substitute these values into equation 1

F = 100×5F = 500 N

Hence, the force is 500 N.

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both of yall are right and wrong its b and d

Answers

Answer:

Yup

Explanation:

What kind of nuclear reaction is seen in 30Y0Zr+e?
→40
OA. Beta decay
OB. Alpha decay
OC. Nuclear fusion
D. Nuclear fission

Answers

Beta decay is seen in the nuclear reaction: ⁹⁰₃₉Y → ⁹⁰₄₀Zr + ⁰₋₁e. Hence, option (A) is correct.

What is Beta (β) decay?

A proton can change into a neutron or vice versa inside the radioactive sample's nucleus through a process known as beta decay.

The radioactive sample's nucleus can approach the ideal neutron/proton ratio as closely as feasible through processes like beta decay and alpha decay. The nucleus releases a beta particle during this process, which can either be an electron or a positron.

As electron releases here, it is a Beta (β) decay.

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An 80-kg man balances the boy on a teeter-totter as shown. What is the approximate mass of the boy? What, approximately, is the magnitude of the downward force exerted on the fulcrum? Ignore the weight of the board.
I know the first answer is 20 kg and the second answer is 1000N. Have no idea how to get these answers though. Please help? Will rate!!

Answers

The boy weighs at about 80 kg. When, as illustrated, a N 784 guy balances the youngster on a teeter-totter.

What is ideal interpretation of mass?

A way to determine how much material, in mass, makes up a physical body.

In classical mechanics, an object's mass is essential to Newton's equations of motion because it affects the force required to accelerate it and, subsequently, how much inertia it has.

Language expert Peter Trudgill claims that the name "Tittermatorter" from the Norfolk language is its origin. Trudgill can trace all of his great-great-grandparents to a tiny region of eastern Norfolk.

As per the question:

Weight is come under gravity and become force

80g = mg

m = 80

Force = 80(9.8) = 784N

Thus, the answer is 784N.

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How does the horizontal velocity of a projectile affect the velocity at which it falls?
A. faster horizontal objects fall slower
B. slower horizontal objects fall slower
C. No horizontal motion means the object will not fall
D. Horizontal motion does not have an effect on how an object will fall

Answers

Horizontal motion does not have an effect on how an object will fall

What is the average time for the toy car to move 1.0 m on cement?

Answers

Answer:

24.4

Explanation:

you would add all the numbers , 25.5+24.4+24.2= 73.1/3=24.36 and you round up you get 24.4

The same 42 kg cart is pushed forward with a force of 180 Newtons. How far will it go if a total of 2500 Joules of work are done on the cart?

Answers

Important Formulas:
[tex]w=Fd[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

__________________________________________________________

Given:

[tex]m=42kg[/tex]

[tex]F=180N[/tex]

[tex]w=2500J[/tex]

[tex]d=?[/tex]

__________________________________________________________

Rearranging work formula to make distance the subject:

[tex]w=Fd[/tex]

[tex]\dfrac{w}{F} =\dfrac{Fd}{F}[/tex]

[tex]d=\dfrac{w}{F}[/tex]

__________________________________________________________

Finding distance:

[tex]d=\dfrac{w}{F}[/tex]

[tex]d=\dfrac{2500}{180}[/tex]

__________________________________________________________

[tex]\fbox{d = 13.89 meters}[/tex]

What is meant by half life ?

Answers

Half-life is the amount of time it takes a substance to decay half of its original value.

5. If a jump rope is shaken fast enough to produce a wave with a wavelength of 0.5 m and
the crest of the wave passes a specific point 6 times per second, what is the velocity of the
wave?
Answer:

Answers

After solving the equation the wave is traveling at a velocity of 3 m/s.

What is velocity?

Velocity is a vector quantity that describes the rate at which an object changes its position. It is a measure of both the speed and the direction of an object. Velocity is typically expressed in terms of meters per second (m/s). When an object is in uniform motion, its velocity is constant, meaning that it is not changing in magnitude or direction. If an object is accelerating, its velocity is changing over time, either in magnitude, direction, or both.

The velocity of the wave can be calculated using the following equation:
Velocity = Wavelength x Frequency
In this case, the wavelength is 0.5 m and the frequency is 6 Hz (6 cycles per second). So, the velocity of the wave is:
Velocity = 0.5 m x 6 Hz = 3 m/s
This means that the wave is traveling at a velocity of 3 m/s.

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3. An electron moves along the trajectory from i to f as shown.
a) Does the electric potential energy increase, decrease or stay the same? Explain.
b) Is the electron's speed at f greater than, less than or equal to its speed at i? Explain.

Answers

Answer:

decrease

Explanation:

this is for part a

1. What happens when a cold piece of metal is placed in hot water?

a. heat will flow from the metal to the water
b. temperature will flow from the water to the metal
c. temperature will flow from the metal to the water
d. heat will flow from the water to the metal

2. How do the molecules differ in a cup of hot water and a cup of cold water?

a. In the cold water, the molecules are moving faster than in the hot water.
b. In the hot water, the molecules are moving faster than in the cold water.
c. In the cold water, there are more molecules.
d. In the hot water, there are more molecules.

Answers

When a cold piece of metal is placed in hot water, heat will flow from the water to the metal.

The correct option is D.

The molecules in a cup of hot water differ from the molecules in a cup of cold water in that, in the hot water, the molecules are moving faster than in the cold water.

The correct option is B.

What is heat energy?

Heat energy is a type of energy that is transmitted between systems or objects with various temperatures. Heat energy is also known as thermal energy.

The direction of the flow of heat energy is from the high-temperature system to the low-temperature system.

For example, heat energy will flow from hot water to a cold piece of metal; placed inside it.

The molecules of a hotter body have more kinetic energy than the molecules of a colder body.

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The same resultant force acts on objects 1 and 2. Object 1 accelerates at 2m/s² and Object 2 accelerates at 5m/s². Which object has the greater mass?

Answers

Answer:

Object 1

Explanation:

Newton's 2nd Law:  F = ma, therefore m = F/a

This shows that mass is inversely proportional to acceleration.  Because the resultant force (F) is held constant in this problem, the lower the acceleration, the greater the mass.  Therefore, the object that accelerates at 2 m/s² has the greater mass.  In other words, if the net force on both objects is the same, the object with the slower acceleration has the greater mass.  

Please need help ASAP, ASAP

Answers

If force is doubled, acceleration will also be doubled.

Newton’s second law of motion, unlike the first law of motion, pertains to the behaviour of objects for which all existing forces are unbalanced. The second law of motion is more quantitative and is used extensively to calculate what happens in situations involving a force.It states that: Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.The acceleration of the body is directly proportional to the net force acting on the body and inversely proportional to the mass of the body. This means that as the force acting upon an object is increased, the acceleration of the object is increased.

In this given question, force is doubled. We know that force is directly proportional to acceleration. As we increase the force on an object the acceleration increases proportionally. Therefore, if you double the force you double the acceleration.

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The planet Mars has a mass that is 0.11 times Earth’s mass and a radius that is
0.54 times Earth’s radius. a) How much would a 60.0-kg astronaut weigh if
she were to stand on the surface of Mars?

Answers

The weight of an object is a measure of the force of gravity acting on that object. The force of gravity is proportional to the mass of the object and inversely proportional to the square of the distance between the object and the center of the gravitational field.

Since the mass of Mars is 0.11 times the mass of Earth and the radius of Mars is 0.54 times the radius of Earth, the gravitational field on Mars is weaker than the gravitational field on Earth. To calculate the weight of the astronaut on Mars, we need to use the formula for gravitational force:

F = G * m1 * m2 / r^2

where F is the gravitational force, G is the gravitational constant, m1 is the mass of the object being attracted, m2 is the mass of the object providing the gravitational field, and r is the distance between the two objects.

Since the mass of the astronaut is m1 and the mass of Mars is m2, we can plug these values into the formula to find the gravitational force on the astronaut on Mars:

F = (6.67 x 10^-11 N*m^2/kg^2) * (60.0 kg) * (0.11 * 5.97 x 10^24 kg) / (0.54 * 6.371 x 10^6 m)^2

Solving this equation, we find that the weight of the astronaut on Mars is approximately 44.4 N, or about 44.4% of her weight on Earth.

Figure 1) is a snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.
1. List the values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s.

Answers

To solve this we must be knowing each and every concept related to interval. Therefore, values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s can be listed as below.

What is interval?

An interval is any set of numbers that fall between two distinct integers. This range includes all real values that fall between those two. All real numbers that lie in any 2 of a set's numbers are collectively referred to as an interval within mathematics.

For instance, the set of integers x fulfilling 0 x 1 is the interval consisting of 0, 1, and all numbers in between. a snapshot graph of wave on a string moving toward one another at 1 m/s at time t = 0 s.

At time t = 0,Y₀= 0 cm

At At time t =1, Y₁= 0 cm

At time t = 2, Y₂= 0 cm

At time t =3, Y₃= 0 cm

At time t =4, Y₄= 0 cm

At time t = 5 ,Y₅=0 cm

At time t = 6, Y₆= 0 cm

Therefore, values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s can be listed as above.

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A thin rod has a length of 0.609m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.606rad/s and a moment of inertia of 1.05 x 10^-3 kg•m^2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10^-3 kg) gets where it’s going, what is the change in the angular velocity of the rod?

Answers

Answer:

-0.0069 rad/s

Explanation:

The change in angular velocity of the rod can be determined by using the conservation of angular momentum equation: Lf = Li.

The initial angular momentum of the rod is Li = Iwo and the final angular momentum of the rod is Lf = Iwf.

Plugging in the given values, we get:

(1.05 x 10^-3 kg•m^2)(0.606 rad/s) + (5 x 10^-3 kg)(0.609 m)^2(wf) = (1.05 x 10^-3 kg•m^2)(wo).

Solving for wf, we get wf = -0.0069 rad/s.

Therefore, the change in angular velocity of the rod is -0.0069 rad/s.

The linear impulse delivered by the hit of a boxer is 194 N · s during the 0.416 s of contact. What is the magnitude of the average force exerted on the glove by the other boxer? Answer in units of N.

Answers

The magnitude of the average force exerted on the glove by the other boxer is 466.3 N.

What is the relationship between force and impulse?

The force that acts on a body is defined as an agent that causes a change in the position or the state of an object.

Force can be defined as a push or pull agent.

The impulse that acts on a body is the product of the force that acts on that body and the time in which it acts.

Hence, the  relationship between force and impulse is given below:

Force = Impulse/time

The force exerted on the glove by the other boxer is calculated using the formula above as follows:

Force = 194 / 0.416

Force = 466.3 N

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Why was Silent Spring so influential at the time?

The book provided inspiration to those suffering from pesticide exposure.

It was the first book to bring awareness to global warming issues.

It was the first book that discussed the benefits of the Endangered Species Act.

It was the first time that the public was being made aware of the long-term impacts of pollution.

Answers

The reason that Silent Spring was so influential at the time is option D: It was the first time that the public was being made aware of the long-term impacts of pollution.

What is the book about?

Silent Spring, a book written by Rachel Carson and published in 1962, was influential at the time because it was the first book to bring awareness to the negative impacts of pesticides on the environment and human health.

Therefore, The book provided evidence and detailed accounts of the harmful effects of pesticides on wildlife and ecosystems, and it argued that the widespread use of pesticides was unsustainable and could have long-term consequences for the environment and human health.

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Find the full load primary and secondary current of a 230/115V, 2kVA transformer.​

Answers

The full load primary current of a 230/115V, 2kVA transformer can be calculated using the formula:

I_primary = (2kVA * 1000 VA/kVA) / (230V)

I_primary = 8.7V

The full load secondary current of the transformer can be calculated using the formula:

I_secondary = (2kVA * 1000 VA/kVA) / (115V)

I_secondary = 17.4V

Therefore, the full-load primary current of the transformer is approximately 8.7V, and the full-load secondary current is approximately 17.4V. It is important to note that these values are based on the assumption that the transformer is operating at its full load capacity. If the transformer is operating at a lower load, the primary and secondary currents will be correspondingly lower.

In a particular crash test, an automobile of mass 1759 kg collides with a wall and bounces back off the wall. The x components of the initial and final speeds of the automobile are 12 m/s and 2.2 m/s, respectively. If the collision lasts for 0.11 s, find the magnitude of the impulse due to the collision. Answer in units of kg · m/s. Calculate the magnitude of the average force exerted on the automobile during the collision. Answer in units of N.

Answers

Based on the data provided about the collision;

the magnitude of the impulse due to the collision is 21105.8 kg.m/sthe magnitude of the average force exerted on the automobile during the collision is 191870.91 N

What is the magnitude of the impulse due to the collision of the vehicle with the wall?

The magnitude of the impulse due to the collision of the vehicle with the wall is calculated using the formula of the impulse on an object given below as follows:

Impulse = change in momentum

Change in momentum = m(v - u)

where;

m is mass

v is the final velocity

u is the initial velocity

Impulse = 1759 (12 - 22)

Impulse = 21105.8 kg.m/s

The average force on the automobile will be:

Force = impulse/time

Force = 21105.8 / 0.11

Force = 191870.91 N

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Periodic motion
This question is about the stretching of springs
The diagram below shows an unblocked spring of length 100 mm
hanging suspended from a clamp. When an object of mass 50g is
hung on the spring, it becomes 180 mm long.
The spring constant K=50N/m
100 mm
50g
1- Calculate x in (mm) then convert it to meter
X is the distance that the spring is stretched from its
equilibrium position.
2- Use Hooke's law to calculate the restoring force of the spring
Hooke's law :
F=-K.X

Answers

The value of x is 0.04m and restoring force is 9 N

(a) From the figure, the spring force balances force due to gravity.

    So, [tex]\frac{1}{2} kX^{2} = mg[/tex]

    Where, k = spring constant = 50N/m

                 X = compressed distance = L+x = 0.1+x

                 m = mass = 50 g = 0.05Kg

                 g = acceleration due to gravity = 10

Putting these values in above equation, we get: x= 0.04m

(b) Using Hooke's law, F = kx

     Where, k = spring constant =50N/m

                  x = distance = 180mm = 0.18 m

    Putting these values in above equation, we get restoring force F = 9N

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4. How many excess electrons does a balloon that was rubbed on a child's hair and
now has a charge of 4.0 x 107 Coulombs?

Answers

The number of excess electrons is 4.0 x 107 Coulombs divided by 1.60 x 10-19 Coulombs, which is 2.5 x 1026 electrons.

What is electrons?

Electrons are particles of matter that carry a negative electrical charge. Electrons are the smallest particles in the atom and are responsible for most of the atom's mass. Electrons orbit around the nucleus of the atom and are held together by the electromagnetic force. Electrons have a property called spin, which can have a value of either +1/2 or -1/2. Electrons are found in all elements and are important in chemical reactions as they are able to move around and form bonds with other atoms. Electrons are also important in electricity and magnetism.

The number of excess electrons on the balloon is equal to the charge of the balloon divided by the charge of an electron. Since the charge of an electron is 1.60 x 10-19 Coulombs, the number of excess electrons is 4.0 x 107 Coulombs divided by 1.60 x 10-19 Coulombs, which is 2.5 x 1026 electrons.

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A 10 kg box is on an inclined plane that is 40 degrees above the horizontal. It is sliding
down with a constant velocity.
a. Draw a free body diagram with Fg, FN, F₂ and Ff.
b. What is the weight of the box?
What is the normal force of the box?
c. What is the force of friction acting on the box?
d. What is the net force acting on the box?

Answers

A horizontal force of 10.0 N is acting on a 10 kg box that is sliding to the right along the floor with velocity v.

What are the assumptions for drawing a free-body diagram?

Most people make the common assumptions of rigid body action and ignoring air resistance and friction. In statics, all forces and moments must balance to zero; if they don't, the body is accelerating and the laws of statics do not apply, according to the physical interpretation.

The specific situation and the presumptions used will determine how many forces and moments are displayed. Most people make the common assumptions of rigid body action and ignoring air resistance and friction.

In statics, all forces and moments must balance to zero; if they don't, the body is accelerating and the laws of statics do not apply, according to the physical interpretation. The resultant forces and moments in dynamics can have non-zero values.

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Until 1979, the world's easiest driving test was administered in Egypt. To pass the test, one needed only to drive about 6 m forward, stop, and drive the same distance in reverse. Suppose that at the end of the 6 m the car's brakes are suddenly applied and the car slides to a stop. If the force required to stop the car is 6.0 X 10^3 N and the coefficient of kinetic friction between the tires and pavement is 0.77, what is the magnitude of the car's normal force? What's the car's mass?

Answers

(a) The magnitude of the car's normal force is 7,792.2 N.

(b) The mass of the car is 795.1 kg.

What is the weight  of the car?

The weight of the car is calculated by applying Newton's second law of motion as shown below.

Mathematically, the formula for Newton's second law of motion is given as;

Ff = μW

where;

W is the weight of the carμ is the coefficient of kinetic friction between the tires and pavement

The weight of the car is calculated as follows;

W = Ff / μ

W = ( 6,000 N ) / ( 0.77 )

W = 7,792.2 N

Based on Newton's third law of motion, the weight of the car acting downwards is equal to normal force on the car, acting upward.

The mass of the car is calculated as follows;

W = mg

where;

m is the mass of the carg is acceleration due to gravity

m = W / g

m = ( 7792.2 ) / (9.8)

m = 795.1 kg

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when a resistor is connected to a battery, current flows through the resistor. If the voltage of the battery is doubled, the current will be?

Answers

Resistors limits the current/amps but keep the voltage the same.

What happens if you connect the resistor to the battery?

You don't want to attach them together with a wire since there would be too much current loose through, such that the battery heats up till it blows or something.

Current is directly corresponding to voltage; a doubling of the voltage will double the current. But the current is also inversely comparable to the resistance; a doubling of the resistance will halve the current.

So we can conclude that Resistance residue is the same, but power becomes four times i.e. multiplication. If the current is I and the voltage is V,

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distinguish between the cis-acting regulatory elements referred to as promoters and enhancers. Which process causes hillsides and mountains to gradually get smaller? Which of the following versions of the underlined text would best accomplish this goal? Responses (as it is now) (as it is now) there was some initial debate over the question of whether this was truly a dwarf planet or something else entirely there was some initial debate over the question of whether this was truly a dwarf planet or something else entirely the search for additional dwarf planets in the remote reaches of the solar system began in earnest the search for additional dwarf planets in the remote reaches of the solar system began in earnest they were eager to ascertain both its precise size and the exact nature of its composition they were eager to ascertain both its precise size and the exact nature of its composition they concluded that its huge, elliptical orbit might well be attributable to the gravitational pull of an unseen twin How was the Islamic caliphate a successor to rome U. S. Currency is part of. a. M1 only b. M2 only c. M3 only d. M1, M2, and M3 What happens during meiosis to make new unique gametes? Write a rule to describe each transformation.J(2, 2), (3, 4), H(4,3), G(3,0)toJ'(-1,2), I'(0, 4), H'(1, 3), G'(0, 0) Scenario: Your business wants to advertise to a local audience. Which targeting strategy should you use? 7. Kya picks up where she left off in her book and starts reading. After 2 hours, she's on page 195. After reading for 4 hours that day, she's on page 297. Write an equation to represent how many pages Kya reads per hour. I did the equation= y=51x+93 There are a total of 399 pages in the book. How many more hours does Kya have left to read? PLEASE HELP WILL THIS PART I DONT UNDERSTAND Directions: Read each issue and write your stand/claim in the proper column. Use a yellow pad paper for this activity. The first one is done for you. 1. Are schools and teachers responsible for the students low scores? The teachers are the source of learning in school and responsible for the students low scores. Schools and teachers are not responsible for the students low scores. 2. Computers are changing the way humans think. 3. How does social media change family relationships? 4. Is video gaming good or bad? 5. What is the relationship between health and environment? Why were Americans split on whether to support the Central Powers (Germany and Austria-Hungary) or the Triple Entente (France, Britain, and Russia)? where is Israel country situated? What are 5 characteristics of a command economy? A book publisher find production cost associated 30 and fixed cost 25000 if each book is sold for 50 find cost function and profit function how did charlmagne attempt to ensure that his children would rule after him? An individual with a high level of neuroticism has had several negative social encounters during the day. According to research by Mohr and others, what are the most likely effects of these negative social encounters on a person with a high level of neuroticism? 3. Geese and Pigs: A farmer raises only geese and pigs. She wants to raise no more than16 animals total including no more than 10 geese. She spends $5 to raise a goose and $15 to raise a pig, and has $180 available for this project. Find the maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20. Terryl invests $1500 in two mutual funds. In the first year, one fund grows 3.8% and the other grows 6%. Write a polynomial to represent the value of Terryls investment after the first year if he invested x dollars in the fund with the lesser growth rate. Find the value of x. If air and cloud were good conductor of electricity, do you think lightning could occur? Explain