The fact that the galaxies are rotating at about the same velocity from the center to the edge as opposed to faster near the centers is evidence that.
a. There must be more gravity than that calculated from normal Mass
b. They are rotating slower over time
c. Dark energy is pulling on them
d. They are measuring the velocities incorrectly ​

Answers

Answer 1

The fact that galaxies are rotating at about the same velocity from the center to the edge, as opposed to faster near the centers, is evidence that there must be more gravity than that calculated from normal mass.

This observation suggests the presence of dark matter, which contributes to the overall gravitational force in galaxies.

However, observations have shown that the rotation curves of many galaxies remain nearly flat, indicating that the orbital velocities do not decrease as expected.

Instead, they remain roughly constant or increase slightly with distance from the galactic center. This phenomenon is often referred to as the "galaxy rotation problem."

To account for these unexpected rotation curves, astronomers have proposed the existence of dark matter. Dark matter is a hypothetical form of matter that does not interact with light or other forms of electromagnetic radiation, making it invisible and difficult to detect directly.

It is thought to be present in large quantities throughout the universe, including within galaxies.

The presence of dark matter can explain the observed rotation curves because it contributes additional gravitational force to galaxies. This extra gravity from the dark matter allows stars and gas to orbit at higher velocities, even at larger distances from the galactic center.

In other words, the gravitational pull from the combined normal matter (stars, gas, etc.) and dark matter is what keeps the rotation curves flat or rising.

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Related Questions

WHOEVER GET IT RIGHT GETS 50 POINTS
Imagine you are part of a team planning to send an astronaut on a solar system “road trip.” To plan for this trip, the astronaut’s weight at each destination must be known. On Earth, the astronaut weighs 50 kilograms which is 490 Newtons. Using the data from the table, calculate the missing weight values. (The values for Earth are already known.) Then plot the gravity of each location—the moon, Mars, Earth, and Venus—versus the weight of the astronaut at each location.

Weight in
Newtons
Mass in
Kilograms
Gravity in
m/s2


Moon

50
1.6
Mars

50
3.7
Earth
490
50
9.8
Venus

50
8.8

Click on the grid to add a point. Click and drag a point to move it.
$$
xy
$$

Answers

Answer:

ANSWER BELOW I

                             I

                            V

Remember that w=mg where w is weight in Newtons, m is mass in kilograms, and g is gravity in

m/s2

. For example, for Earth, 445 N = 45.4 × 9.8

m/s2

:Notice that the x-axis values will be gravity in

m/s2

, which is already given in the table, and the y-axis values will be the weight in Newtons. Remember to round your weights to a whole number, and to enter the points starting with the lowest gravity (moon, then Mars, then Venus, then Earth).

WHOEVER GET IT RIGHT GETS 50 POINTSImagine you are part of a team planning to send an astronaut on a

what is the fundamental frequency (in hz) of a 0.472 m long tube, open at both ends, on a day when the speed of sound is 344 m/s?

Answers

The fundamental frequency of the tube open at both ends is 365.25 Hz.

The fundamental frequency of a tube open at both ends can be calculated using the formula:

f = (n * c) / (2 * L)

where:

f = fundamental frequency (in Hz)

n = harmonic number (for the fundamental frequency, n = 1)

c = speed of sound (in m/s)

L = length of the tube (in meters)

Given:

L = 0.472 m

c = 344 m/s

n = 1

Using the formula:

f = (1 * 344) / (2 * 0.472)

f = 365.25 Hz (rounded to two decimal places)

Therefore, the fundamental frequency of the tube open at both ends is 365.25 Hz.

The fundamental frequency, also known as the first harmonic, is the lowest frequency at which a system or object vibrates. It is the frequency at which a system oscillates when all of its parts are moving in simple harmonic motion. The fundamental frequency is important in various fields, including music, acoustics, and physics.

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an electric field line diagram is shown below. an electron is placed at point a. the electron is then removed and a proton is placed at point b. what is the direction of the electric force ? give angle relative to x with ccw as positive. what is the direction of the electric force ? what is true of the magnitude of the two forces?

Answers

We can find direction by electric field diagram and magnitude remain the same despite of a change in positions.

When a proton is placed at point A and an electron is placed at point B, the direction of the electric force F is determined by the electric field line diagram. The electric force between the two charges is a vector force, which means it has both a magnitude (strength) and a direction.

The magnitude of the electric force F between a proton and an electron is determined by Coulomb's Law, which states that the magnitude of the force between two charges is in direction proportion to charges' product and in inverse proportion with their distance squared.

to the product of the two charges and inversely proportional to the square of the distance between them. Thus, the magnitude of the electric force F between the charges is independent of the direction, so the magnitudes of the electric force F between a proton and an electron, regardless of their positions, will always be the same.

The direction of the electric force F, however, is determined by the electric field line diagram. In the diagram, the electric force F is directed away from the positive charge (the proton) and toward the negative charge (the electron). Therefore, the electric force F will be directed away from point A and toward point B, making the angle relative to the +x axis clockwise, with a positive angle.

In summary, the magnitude of the electric force F between a proton and an electron will remain the same regardless of the positions of the particles, while the direction of the electric force F will be determined by the electric field line diagram, with the angle relative to the +x axis clockwise, with a positive angle.

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[16 POINTS: 3 Physics Q’s]

9. What is the difference between contact forces and field forces?

11. As an object falls through Earth’s atmosphere, which statement correctly describes the energy change (assume no friction or drag)
A. The potential energy of an object decreases while the thermal energy increases.
B. The kinetic energy of the object increases while the elastic energy increases.
C. The potential energy of the object decreases while the kinetic energy increases.
D. The thermal energy of the object decreases while the kinetic energy increases.


12. Which of the following is true about the charge of an electron?
A. It is 1.602 x 10^-19 C, and the smallest unit of charge
B. It is -1.602 x 10^-19 and the smallest unit of charge.
C. It is -1.602 x 10^-9 , and it a multiple of the smallest unit of charge.
D. It is 1.602 x 10^-19, and it is a multiple of the smallest unit of charge.

*Thanks in advance* ❤️

Answers

Answer:

c

Explanation:

gfdschhgfdxcvhgfd

Reo performed an experiment to investigate the strength of an electromagnet and the amount of force that would be affected by the size of the current flowing through its coils. Which of the following changes would increase the current flow the most?

a. Decreasing the number of paper clips being picked up
b. Decreasing the number of coils of wire wrapped around the nail
c. Increasing the voltage power supply
d. Increasing the number of nails



(WILL GIVE BRAINLIEST)

Answers

Answer:

b. Decreasing the number of coils of wire wrapped around the nail

it can cause an electrical current running through it creates a magnetic field.

When an objective lens is 20x and the ocular lens is 10x, the total magnification of a specimen will be:_________.

Answers

The total magnification will be 200x.

What is Magnification?

It quantifies the comparison of the image's size to that of the object's size. In terms of how big or little the picture is produced, it informs us about the image. The height of the picture divided by the height of the object is known as magnification. m=hiho.

Objective lens - An essential component of the microscope's optics is the objective lens. The sample, specimen, or item being examined is situated close to the microscope's objective. It plays a crucial part in imaging since it creates the initial magnified picture of the sample.

Ocular lens - The component of the microscope known as the eyepiece, or ocular lens, is responsible for enlarging the picture created by the objective so that it can be viewed by the human eye.

20x objective lens was used by specimen

10x ocular lens was also used by him.

we have to find the total magnification.

For calculating the total magnification we 'll simply do multiplication

Total Magnification = 20 × 10x

Total Magnification = 200x

So , the total magnification will be 200x .

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The photo shows two yeast cells. Each cell is an individual organism. Which sentence best describes what happened to each cell during cell growth?


A. It will become many different cells.

B. It will produce offspring with a mate.

C. It will divide in half to form two new cells.

D. It will become larger by taking in nutrients.

The photo shows two yeast cells. Each cell is an individual organism. Which sentence best describes what

Answers

The answer is option c - It will divide in half to form two new cells..

Explanation:

The sentence that best describes what happened during cell growth is ;

( D ) It will become larger by taking in nutrients

As the yeast cells begin to grow ( i.e. cell growth ), they will require more nutrients and as they take in the necessary nutrients they will gradually increase in size ( becoming larger ) which is a vital sign of cell growth and development, which will be seen in the yeast cells as they undergo cell growth.

The production of offsprings with a mate does not describe an activity that occurs in cell growth.  

Hence we can conclude that The sentence that best describes what happened during cell growth is, It will become larger by taking in nutrients.

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The principal objective of our booster club is to raise money for new marching band uniforms. Which definition best helps readers find the correct meaning of principal in this sentence

Answers

The definition that best helps readers find the correct meaning of "principal" in this sentence is: "Principal - noun: the person with the highest authority or most important position in an organization, institution, or group."

In the given sentence, the word "principal" is used as a noun, referring to a person. The context indicates that the booster club has a specific objective, which is to raise money for new marching band uniforms. Therefore, it is logical to infer that "principal" in this sentence refers to a person who holds the highest authority or most important position in the booster club. This person would play a crucial role in leading the club, making decisions, and overseeing the fundraising efforts.

By understanding the definition of "principal" as the person with the highest authority or most important position, readers can grasp the intended meaning of the sentence and recognize the key objective of the booster club.

In the given sentence, the word "principal" refers to the person with the highest authority or most important position in the booster club. This understanding aligns with the objective stated, which is to raise money for new marching band uniforms.

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Samanthawalks along a horizontal path in the direction shown the curved path is a semi circle with a radius of 2 m while the horizontal part is for me what is the magnitude of displacement

Answers

Answer:

Explanation:

Samantha walks along a horizontal path in the direction shown the curved path is a semi circle with a radius of 2 m while the horizontal part is for me what is the magnitude of displacement

Displacement is given by the straight line distance between P and Q. Displacement will be length of straight line joining P and Q

a semi circle with a radius of 2 m

Length of this straight line=4+diameter

=4+(2*2)

=8 m

Samanthawalks along a horizontal path in the direction shown the curved path is a semi circle with a

What is the work done by a 25 kg boy when he runs up a flight of stairs 13 m high? A) 1.92 JB) 3250 J C 162.5 J D) 81.3 J

Answers

In order to calculate the work done, we can use the formula below:

\(W=F\cdot d\)

Where W is the work done (in J), F is the force (in N) and d is the distance (in m).

Since the boy is going up the stairs, the force is equal to his weight force:

\(\begin{gathered} F=m\cdot g\\ \\ F=25\cdot10=250\text{ N} \end{gathered}\)

Now, calculating the work, we have:

\(\begin{gathered} W=250\cdot13\\ \\ W=3250\text{ J} \end{gathered}\)

Therefore the correct option is B.

What was the first and largest asteroid to be identified?.

Answers

Ceres, dwarf planet, the largest asteroid in the main asteroid belt, and the first asteroid to be discovered. Ceres was found, serendipitously, by the Italian astronomer Giuseppe Piazzi of the Palermo Observatory on January 1, 1801.

i need help quick i get progress reports tomorrow!!based on katrina's fitness profile identify which statement is true or false

i need help quick i get progress reports tomorrow!!based on katrina's fitness profile identify which

Answers

Answer:

Explanation:t f t f t

Which type of radio broadcast has a greater broadcast range, AM or FM? Explain.

Answers

Depends on where you are located but overall FM is the best choice

If a plane travels 800 m south & 1500 m east, what is its distance &

displacement?

Answers

Answer:

2300 because 800 + 1500=2300

A car moves 6 miles North and turns around and travels 10 miles South.
How far did the car travel? *

Answers

The car traveled 16 miles 10 + 6 = 16

Josh attached different muscles to his balloon for each month he calculated the speed of Rise of the balloon his results as shown Below from the graph find the mass needed to keep the balloon floating in one place​

Josh attached different muscles to his balloon for each month he calculated the speed of Rise of the

Answers

The mass that the balloon needs to continue to float is the place where it is balanced at 20 g.

Why does a balloon float?

The buoyancy principle, which is based on Archimedes' theory, is what causes a balloon to float. An object submerged in a fluid receives an upward buoyant force equal to the weight of the fluid it displaces, according to Archimedes' principle.

The gas within a balloon, which is commonly helium or hydrogen, is lighter than the air around it. When the balloon is inflated with this gas, which is lighter than air, it expels as much air as it weighs.

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The cornea of a normal human eye may have an optical power of +44.0 diopters. What is its focal length?cm

Answers

The focal length of the cornea of a normal human eye is approximately 44.06 centimeters.

The focal length of the cornea of a normal human eye with an optical power of +44.0 diopters can be calculated using the formula:

focal length (in meters) = 1 / optical power (in diopters)

Converting diopters to meters^-1, we get:

+44.0 diopters = 0.0227 meters^-1

Plugging this value into the formula, we get:

focal length = 1 / 0.0227 meters^-1

focal length = 44.06 centimeters

Therefore, the focal length of the cornea of a normal human eye is approximately 44.06 centimeters.

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As part of his special theory of relativity, Einstein saw mass as a form of

Answers

Answer:

Energy

Explanation:

Edge 2021

As part of his special theory of relativity, Einstein saw mass as a form of energy.

What is the theory of relativity?

The theory of relativity as stated by Einstein stated that mass and energy are both interconvertible. This explains why energy is released when mass is lost.

Thus, as part of his special theory of relativity, Einstein saw mass as a form of energy.

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Two +1 C charges are separated by 3000 m. What is the magnitude of the electric force

Answers

¡Hello!

Topic: Electrostatic

For calculate electric force, we can apllicate formula:

                                                \(\boxed{\boxed{\bold{F = k * \frac{q*q'}{r^{2} } } } }\)

\(\sqrt{\) F = Electric Force

\(\sqrt{\) k = Coulomb Constant = 9x10^9

\(\sqrt{\) q = Charges = 1 C

\(\sqrt{\) r = Distance = 3000 m

Let's replace according the information, and let's resolve it:

F = 9x10^9 * (1 * 1) / 3000²

F = 9x10^9 * 1 / 9000000

F = 9x10^9 * 1.1111111e-7

F = 1000 N

Result:

The electric force is of 1000 N

Good luck

Grain is pouring into a silo to be stored for later use. Due to the friction between pieces of grain as they rub against each other during the pouring process, one piece of grain picks up a charge of 6.0 E -10 C and another piece of grain picks up a charge of 2.3 E -15 C. What is the electric force between them if the pieces of grain are 2 cm apart?

I know the equation already: in the image below. Can someone show me how to place the information I have into this equation, and how to solve it?

Grain is pouring into a silo to be stored for later use. Due to the friction between pieces of grain

Answers

Answer:

3.11×10¯¹¹ N

Explanation:

From the question given above, the following data were obtained:

Charge 1 (q₁) = 6×10¯¹⁰ C

Charge 2 (q₂) = 2.3×10¯¹⁵ C

Distance apart (d) = 2 cm

Force (F) =?

Next, we shall convert 2 cm to metre (m). This can be obtained as follow:

100 cm = 1 m

Therefore,

2 cm = 2 cm × 1 m / 100 cm

2 cm = 0.02 m

Thus, 2 cm is equivalent to 0.02 m

Finally, we shall determine the electrical force between the two charge as follow:

Charge 1 (q₁) = 6×10¯¹⁰ C

Charge 2 (q₂) = 2.3×10¯¹⁵ C

Distance apart (d) = 0.02 m

Coulomb constant (K) = 9×10⁹ Nm²C¯²

Force (F) =?

F = Kq₁q₂ / d²

F = 9×10⁹ × 6×10¯¹⁰ × 2.3×10¯¹⁵ / 0.02²

F = 1.242×10¯¹⁴ / 0.0004

F = 3.11×10¯¹¹ N

Therefore, the electrical force between the two charge is 3.11×10¯¹¹ N

What Determines the amount of TE of an object

Answers

Answer:

To find the volume of a rectangular object, measure the length, width and height. Multiply the length times the width and multiply the result by the height. The result is the volume. Give the result in cubic units, such as cubic centimeters.

Explanation:

Answer:

Kinetic energy is the energy possessed by an object due to its motion. If an object is moving, then it has kinetic energy. The amount of kinetic energy depends on mass and speed.

Explanation:

A 60.0 kg runner is moving at 6.00 m/s and speeds up to 9.00 m/s. the runner’s change in kinetic energy is 1,350 j. how much work was done? –2,430 j –1,350 j 1,350 j 2,430 j

Answers

The work done is 1350. Option C is correct. The work-energy theorem is applied to a given problem.

What is the work-energy theorem?

From the work-energy theorem, it is stated that the net work done is equal to the change in the kinetic energy.

\(\rm W_{net}=K_f-K_i \\\\ \rm W_{net}=\frac{1}{2}mv_f^2-\frac{1}{2} mv_i^2 \\\\ W_{net}=\frac{1}{2} m(v_f^2-v_i^2)}\)

Substitute the given value;

\(\rm W_{net}=\frac{1}{2} \times 60 \times (9.00^2-6.00^2)} \\\\ W_{net}=1350 \ J\)

The work done is 1350 J.

Hence option C is correct.

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Answer:

C on edge

Explanation:

1,350 J

the nec allows what maximum number of receptacle outlets to be connected on a 120-volt residential lighting or small-appliance branch circuit?

Answers

The quantity of outlets that must be installed on each of the branch circuits has no set maximum.

Technically, a 15 amp circuit breaker may support any number of outlets. A good guideline is 1 outlet per 1.5 amps, up to 80% of the circuit breaker's capability. As a result, we advise no more than 8 outlets on a 15 amp circuit. You see, the number of outlets that can be installed on a single 20 amp circuit is not explicitly capped by the National Electrical Code (NEC). A lighting and appliance branch circuit panelboard may have up to 42 overcurrent devices fitted (excluding the main device), in accordance with NEC.

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Which statement about a HORIZONTAL projectile is false?

The horizontal velocity is constant.

The horizontal acceleration is constant.

The vertical velocity is constant.

The vertical acceleration is constant.

Answers

Answer:

the vertical velocity is constant.

Explanation:

The horizontal velocity of a projectile is constant (a never changing in value), There is a vertical acceleration caused by gravity; thus, the vertical velocity of a projectile changes. and the horizontal motion of a projectile is independent of its vertical motion.

Two people try to lift a heavy box. Jack pulls upward with a 100-newton
force. Jill pulls upward with a 50-newton force, but neither person moves the
box.
Compare the amount of work done on the box by Jack and Jill.
OA) Jack did twice as much work as Jill.
OB) Jack did fifty times more work than Jill.
OC) Jack and Jill did the same amount of work.​

Answers

Answer:

A ( Jack did twice as much work as Jill

Explanation:

In a perfectly inelastic collision between two balls:

a) No changes happen to the internal structure of the balls

b) The total kinetic energy of the balls is conserved

c) The balls have the same velocity after the collision

d) The balls temperature does not change.

Answers

Answer:

c) The balls have the same velocity after the collision

Explanation:

In a perfectly inelastic collision between two balls, there is a loss in the maximum kinetic energy of the system and the two ball stick together, and thereby have the same velocity after the collision and also the coefficient of restitution of the two balls is also zero accompanied by a loss in the kinetic energy of the system

Therefore, the correct option is that both balls will have the same (equal) velocity after the collision.

Average Power in an L-R-C CircuitA circuit consists of a resistor (resistance R), inductor (inductance L), and capacitor (capacitance C) connected in series with an AC source supplying sinusoidal voltage V0cos(ωt). Assume that all circuit elements are ideal, so that the only resistance in the circuit is due to the resistor. Also assume that ω is the resonant frequency of the circuit.Part AWhat is the average power Pavg supplied by the voltage source?Express your answer in terms of any or all of the following quantities: V0, C, L, and R.Pavg =

Answers

The average power supplied by the voltage source in the L-R-C circuit is given by Pavg = V₀² / (2 × R) this expression in the V₀ and R form.

In an ideal L-R-C circuit driven by a sinusoidal voltage source V₀cos(ωt), the power dissipated in the resistor (P(R)) can be calculated as follows:

P(R) = I(RMS)² × R

where I(RMS) is the root mean square (RMS) value of the current through the resistor, and R is the resistance of the resistor.

At the resonant frequency (ω), the inductive reactance (XL) and capacitive reactance (XC) cancel each other out, resulting in a purely resistive circuit. Therefore, the current is in phase with the voltage.

The RMS current (I(RMS)) can be calculated using Ohm's law:

I(RMS) = V(RMS) / R,

I(RMS) = V₀ / (√(2) × R).

Now, we can calculate the average power supplied by the voltage source:

Pavg = P(R)

= I(RMS)² × R

= (V₀ / (√(2) × R))² × R

= V₀² / (2 × R).

Therefore, the average power supplied by the voltage source in the L-R-C circuit is given by Pavg = V₀² / (2 × R).

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1. Give 3 examples of waves that carry small amounts of energy?​

Answers

ANSWER:

Radio wavesMicro wavesInfrared waves

I NEED THIS ASAP
The labeled images each represent the wave patterns found in the electromagnetic wave spectrum.


Which image is correctly labeled for frequency, wavelength, and radiant energy?

I NEED THIS ASAPThe labeled images each represent the wave patterns found in the electromagnetic wave

Answers

Answer:

Srry !!!

Explanation:

Image is not clear.

A small rock is thrown vertically upward with a speed of 18.0 m/s from the edge of the roof of a 28.0 m tall building. The rock doesn't hit the building on its way back down and lands in the street below. Air resistance can be neglected. What is the speed of the rock just before it hits the street? Express your answer with the appropriate units. Part B How much time elapses from when the rock is thrown until it hits the stree Express your answer with the appropriate units.

Answers

3.5 s is the  time elapses from when the rock is thrown until it hits the street when thrown vertically upward.

Every area of our lives is impacted by the concept of time. It determines the duration of an event and the tempo of our daily activities. Time begins to move forward as soon as we open our eyes in the morning, reminding us of the obligations we have to fulfil and the dates we have to meet. We use time to organise our lives, prepare our calendars, communicate with others, and plan events. Time is an elusive and philosophical term that defies simple explanations despite the many ways it forms and affects our life. It passes in the blink of an eye while also appearing to go on forever. It is both finite and endless.

\(mgh = \frac{1}{2}mv^2 + mgh_{\text{roof}}\)

v =\(\sqrt{2gh}\)

  = \(\sqrt{2(9.81\ \text{m/s}^2)(28\ \text{m})} \approx \boxed{18.8\ \text{m/s}}\)

h =\(\frac{1}{2}gt^2\)

t =\(\sqrt{\frac{2h}{g}}\)

=\(\sqrt{\frac{2(28\ \text{m})}{9.81\ \text{m/s}^2}} \approx \boxed{3.5\ \text{s}}\)

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Other Questions
Write a program containing a loop that you execute 16 times. In the loop, generate two random numbers between 1 and 50. Divide the first random number by the second random number and print the result using 4 decimal places of accuracy.Lab Exercise #1 Put your name, the compiler used, and Lab Exercise #1 in a comment at the top of your program. Email your source code. This lab exercise is due at the beginning of the next lecture. You may email your lab solution prior to that. Remember to use "Ex1" as the subject of your email submission. Write a program containing a loop that you execute 16 times. In the loop, generate two random numbers between 1 and 50. Divide the first random number by the second random number and print the result using 4 decimal places of accuracy. Your output should look like this - except for different random values: 2.3333 35.0000 0.8000 3.2222 0.8667 0.1304 1.1429 0.2857 1.0698 0.7568 8.4000 0.7500 1.3030 1.2941 0.4130 1.7778 Hint: you should get a floating-point answer (a cast is suggested). 1. Which of the following phrases would you use to describe someonewho is more successful than his or her rivals?*A. one of the pack B.pack rat C.ahead of the packD.pack it in What would the balanced chemical equation be for the synthesis of biphenyl from bromobenzene? Based on your balanced chemical equation, how many equivalents of bromobenzene are consumed in the formation of one (1) equivalent of buphenyl? This is the image in the lab manual of all the reagents used. Consider the role of money in modern elections as you answer the following: In 23 sentences, describe a number of past efforts to change campaign finance methods. In 23 sentences, identify the strengths and weaknesses of these campaign finance reform efforts. In a paragraph, explain additional possible reforms you would propose to resolve the continuing problems in campaign finance law. Please help this is for AP Gov Unit Test I'll Mark Brainlist I need help ~again~ o.O Given: MPN is a right angle, NP is a perpendicular bisector to MO Prove: MNP ONP Question 8(Multiple Choice Worth 1 points)(02.08 MC)Read and select the correct option.Las dos chicas tienen ________. los reglas rojas unos reglas roja unas regla roja las reglas rojas Wy is it necessary to reduce the voltage to a motor when the frequency is reduced? How many cm of framing are needed to make a picture frame with outside measurements 40 cm and 25 cm Here are two five-pointed stars. A student said, "Both figures A and B are polygons. They are both composed of line segments and are two-dimensional. Neither has curves." Do you agree with the statement? Explain your reasoning. why do wireless networks experience a greater reduction in throughput compared with wired networks? Which of the following is an example of a major external environmental factor that a company must consider when analyzing the international marketing environment? a. economic factors b. product factors c. promotional factors d. pricing factors e. advertising factors (06.01 MC)A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of thecross-section of the cylinder is 157 square units. Based on this information, which argument can be made?The volume of the square prism is3the volume of the cylinder.The volume of the square prism is half the volume of the cylinder.The volume of the square prism is equal to the volume of the cylinder.OThe volume of the iS square prism is twice the volume of the cylinder. The following list of income, losses and deductions has been calculated by a junior staff accountant for the 2021 tax return for Mr. Steven Jandric- Salary as a professional hockey player of $58,000- $15,000 Taxable Capital Gain on sale of shares- $10,000 Allowable Capital Loss on the sale of land- He received a cheque for $2,000 during the year. It was an Eligible Dividend from a public company.- He had childcare expenses of $2,000- He paid spousal support of $6,000- He has an $8,000 net-capital loss carry forward available from 2015.- He started a small business that had $8,000 in revenues and $7,000 in expenses during the year.Determine his minimum Taxable Income for 2021. Your response should use appropriate headings, Section 3 formatting (I.e. put amounts in Section 3 categories as appropriate) and be easy to follow (show all calculations)Please also clearly state any loss carryovers remaining at the end of the year (if any) write a long poem about A population proportion is 0.70. A sample of size 300 will be taken and the sample proportion p will be used to estimate the population proportion. (Round your answers to four decimal places.) (a) What is the probability that the sample proportion will be within +0.03 of the population proportion? (b) What is the probability that the sample proportion will be within +0.05 of the population proportion? an insurance company expects that 30% of high-risk drivers will be involved in an accident during the first 50 days of the calendar year. Calculate the portion of high-risk drivers that are expected to be involved in an accident during the first 80 days of a calendar year 8.5 A uniformly distributed random variable has mini- mum and maximum values of 20 and 60, respectively. a. Draw the density function. b. Determine P(35 < X < 45). c. Draw the density function includi Halliford Corporation expects to have earnings this coming year of per share. Halliford plans to retain all of its earnings for the next two years. Then, for the subsequent two years, the firm will retain of its earnings. It will retain of its earnings from that point onward. Each year, retained earnings will be invested in new projects with an expected return of per year. Any earnings that are not retained will be paid out as dividends. Assume Halfords share count remains constant and all earnings growth comes from the investment of retained earnings. If Halliford equity cost of capital is , what price would you estimate for Halliford stock You bought f pounds of fruit today. Today, you bought 3 times as many pounds of fruit as you bought yesterday. Which expression correctly shows how many pounds of fruit you bought yesterday? is itf + 33f3 ff 3ornone of the above