If A bar + B bar = C bar and magnitude of A bar + magnitude of B bar = magnitude of C bar. Then the angle between A bar and B bar is
A) 45°
B) 60°
C) 90°
D) 0°

Answers

Answer 1

Answer:

D) 0°

Explanation:

If vectors A and B add up to vector C, then vector C must start where A starts and end where B ends.

Since we also know the magnitudes of A and B add up to the magnitude of C, then A, B, and C must be inline with each other.

Therefore, the angle between A and B is 0°.


Related Questions

The strength of gravitational force is affected by the mass of objects and which of the following?

Answers

Answer:

The distance between two objects

Explanation:

Depending on how far away or how close two objects are will affect the gravity.

Gravitational force strength depends only on two factors, mass of objects and distance between the objects.

Explanation:

The distance between two objects experiencing the gravitational force are in inverse relationship in proportionality.

That is, when distance between two increases, “strength of gravitational force decreases”, and vice versa. If the one of the mass is doubled, force of gravity also doubles and if it increases, force of gravity also increases.

identify the type of synthetic material used in each object. is it alloy, ceramic, polymer?

tuba -

paper -

Pot - ​

Answers

Answer: tuba- alloy

paper-polymer

pot- ceramic

Explanation:

Answer:

Tuba -  Alloy

Paper -  Polymer

Pot - ​Ceramics

Explanation:

Alloy : An alloy is a substance which made up of two more than two types of metal.It is uniform solid substance. For example : brass, steel etc

Ceramics: Articles , figures made up of clay which are hardened by the action of heating. For example : pots, crockery etc.

Polymer: These are the substance composed repeating units of of same chemical units which held together by covalent bonds.The single chemical unit is known as monomer. For example : plastic , rubber etc.

Tuba is an musical instrument similar made up of brass. And brass is an alloy of copper and zinc. Hence, an alloy.

Paper is majorly made up of wood pulp.And Wood pulp consists cellulose which is a polymer of glucose molecule.Hence, polymer.

Pot is made up of clay and heated to hardened them.Hence, ceramics.

A satellite with a mass of 5.6 E 5 kg is orbiting the Earth in a circular path. Determine the satellite's velocity if it is orbiting at a distance of 6.8 E 5 m above the Earth's surface. Earth's mass = 5.98 E 24 kg; Earth's radius = 6.357 E 6 m.

6,800 m/s
7,200 m/s
7,500 m/s
7,900 m/s

Answers

Answer:

7500 m/s

Explanation:

Centripetal acceleration = gravity

v² / r = GM / r²

v = √(GM / r)

Given:

G = 6.67×10⁻¹¹ m³/kg/s²

M = 5.98×10²⁴ kg

r = 6.8×10⁵ + 6.357×10⁶ = 7.037×10⁶ m

v = √(6.67×10⁻¹¹ (5.98×10²⁴) / (7.037×10⁶))

v = 7500

The orbital velocity is 7500 m/s.

The orbital velocity is 7500 m/s.

What is orbital velocity ?

Orbital velocity is defined as the minimum velocity a body must maintain to stay in orbit.

Given

h = 6.8 E 5 m = 6.8 * [tex]10^{5}[/tex] m

mass of satellite = 5.6 * [tex]10^{5}[/tex] kg

Earth's mass : m(e)  = 5.98 E 24 kg

Earth's radius ; R(e) = 6.357 E 6 m

orbital velocity :v(orbiting ) = [tex]\sqrt{Gm(e) / R(e) + h}[/tex]

R(e) + h  = 6.8×10⁵ + 6.357×10⁶ = 7.037×10⁶ m

v = √(6.67×10⁻¹¹ * (5.98×10²⁴)) / (7.037×10⁶))

v = 7500 m/s

The orbital velocity is 7500 m/s.

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Use the data provided to calculate the gravitational potential energy of each cylinder mass. Round your answers to the nearest tenth.




3 kg: ____kJ

6 kg: ____kJ

9 kg: ____kJ

Answers

Answer: 14.7kJ, 29.4kJ, 44.1kJ

Explanation:

The gravitational potential energy is the energy that a body or object possesses, due to its position in a gravitational field.  

In the case of the Earth, in which the gravitational field is considered constant, the value of the gravitational potential energy [tex]U_{p}[/tex] will be:  

[tex]U_{p}=mgh[/tex]  

Where [tex]m[/tex] is the mass of the object, [tex]g=9.8m/s^{2}[/tex] the acceleration due gravity and [tex]h=500m[/tex] the height of the object.  

Knowing this, let's begin with the calculaations:

For m=3kg

[tex]U_{p}=(3kg)(9.8m/s^{2})(500m)[/tex]  

[tex]U_{p}=14700J=14.7kJ[/tex]  

For m=6kg

[tex]U_{p}=(6kg)(9.8m/s^{2})(500m)[/tex]  

[tex]U_{p}=29400J=29.4kJ[/tex]  

For m=9kg

[tex]U_{p}=(9kg)(9.8m/s^{2})(500m)[/tex]  

[tex]U_{p}=44100J=44.1kJ[/tex]  

3. A nail salon has looked up the melting and boiling point of alcohol (ethyl). This means there's enough energy to change the state of matter. This change where a switches states is known as the

A. freezing point.
B. critical temperature.
C. fusion point.
D. condensation point.

Answers

Explanation:

critacal temperature

I think it’s Bbbbbbbbbbbbbbbbbbbb

A _________ is a satellite or other spacecraft designed to explore space and transmit data back to Earth.

Answers

Answer:

Space Probe

Explanation:

It is actually a type of satellite to explore space considering the useful dimensions for discoveries and observations that are useful for existence of life. It collects data and returns back to the base with records that are purpose of flight.

The Voyager is a designed robotic spacecraft as a part of space technology to explore space and sends data to Earth.

Explanation:

The voyager has been designed as an integral part of the space program known as the VOYAGER, which explores space. This program has been launched into the space by the NASA.

The satellite has been communicating and sending various space informational data to the space information base positioned in NASA known by the name of DEEP SPACE NETWORK. This program was launched in the year of 1977.

During a workout, a football player pushes a blocking dummy a distance of 30 m. While pushing the dummy the same distance a second time, what would the player need to change to be certain that power output increases?

Answers

Explanation:

Power = work / time

Work = force × distance

Therefore:

Power = force × distance / time

Since the distance is the same, he would have to either increase the force he exerts or decrease the time (increase his velocity) in order to increase the amount of work done.

Answer:

The correct answer is B) The player would need to use a greater force and take less time.

Explanation:

hope this helps :)

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A force of 32.5N stretches a spring of 0.500cm. What force will stretch a similar spring 1.60 cm?​

Answers

Answer:

104 N

Explanation:

Calculate the spring stiffness:

F = kx

32.5 N = k (0.500 cm)

k = 65 N/cm

Find the force for the new length:

F = kx

F = (65 N/cm) (1.60 cm)

F = 104 N

3.
A traffic light is suspended by two cables. What
should be the angle between the cables (0) so that the
tension in each cable will be equal to the weight of the
traffic signal light (W=T, = T)?

Answers

Answer:

120°

Explanation:

Draw a free body diagram.  There are three forces acting on the traffic light.  Two tension forces acting along the cables, and weight.

The tension forces have an angle θ between them.  That means each tension force forms an angle of θ/2 with respect to the vertical.  So the y component of each tension force is:

Ty = T cos (θ/2)

Sum of the forces in the y direction:

∑F = ma

Ty + Ty − W = 0

2 Ty = W

Substituting:

2 T cos (θ/2) = W

If W = T, then:

2 W cos (θ/2) = W

2 cos (θ/2) = 1

cos (θ/2) = 1/2

θ/2 = 60°

θ = 120°

The angle between the cables Ф so that the tension in each cable will be equal to the weight of the traffic signal light is 120°

Let

Ф = the angle between the cables.T = the tension in cable 1, T' = the tension in cable 2 and W = the weight of the traffic light

Now, the angle between the tension and the vertical is α = Ф/2.

Net force on vertical force on traffic light

The net force vertical force on the traffic light is F = Tcosα + T'cosα - W

Since the traffic light is in equilibrium, we have that F = 0

So, F = Tcosα + T'cosα - W

Tcosα + T'cosα - W = 0

Tcosα + T'cosα = W

Now, since the tension in each cable equals the weight of the traffic light, T = T' = W.

So, Tcosα + T'cosα = W

Wcosα + Wcosα = W

2Wcosα = W

cosα = W/2W

cosα = 1/2

α = cos⁻¹(1/2)

α = 60°

Angle between the cables

Since α = Ф/2

Ф = 2α

Ф = 2(60°)

Ф = 120°

So, the angle between the cables Ф so that the tension in each cable will be equal to the weight of the traffic signal light is 120°

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A man holding 7N weight moves 7m horizontal and 5m vertical , find the work done

Answers

The work done by the man is 35 joules. This work is only done in the horizontal direction because work is the product of force and displacement in the direction of the force.

Work done is calculated by the formula Work (W) = Force (F)  imes Distance (d)  imes cos( heta), where  heta is the angle between the force and the direction of the displacement. Since the force is in the horizontal direction and the displacement is also horizontal,  heta is 0 degrees and therefore, cos( heta) = 1. For the vertical movement, the force exerted by the man does not contribute to the work done on the weight since the displacement is perpendicular to the force applied. Hence, the work done while moving vertically is zero. The total work done is then the sum of the work done horizontally and vertically, which is 35 joules + 0 joules = 35 joules.

Why is Earth considered to be an inner planet?

A- It is located between the sun and the Kuiper Belt.

B- It is located between the sun and the main asteroid belt.

C- It is the closest planet to the main asteroid belt.

D- It is the closest planet to the sun.

Answers

Earth is among many things the largest terrestrial planet in the solar system. All 4 terrestrial planets are considered inner planets because they orbit between the main asteroid belt and the sun. All these inner planets are heavy and mineral rich unlike the outer planets which are gaseous and have many moons. Your answer is B.

Hope this helps!
Final answer:

Earth is considered an inner planet because it lies between the Sun and the main asteroid belt, along with the other terrestrial planets Mercury, Venus, and Mars.

Explanation:

Earth is considered to be an inner planet because it is located between the sun and the main asteroid belt. This asteroid belt is the region of the solar system between the orbits of Mars and Jupiter, where most asteroids are found. Earth, along with Mercury, Venus, and Mars, falls into the category of terrestrial or inner planets, which are closer to the Sun and primarily composed of rock and metal with solid surfaces that have geological features.

Correct answer to the student's question: B- It is located between the sun and the main asteroid belt.

the initial velocityof a particle along x axis is u at t=0 x=0 and its acceleration is given by a =2x then whats the correct equation for v^2= u^2 +2as​

Answers

Answer:

v² = u² + 2x²

Explanation:

v² = u² + 2as​ is only valid for constant acceleration.  Here, the acceleration is a function of position.  We can find the function of velocity by integrating.  Acceleration is the derivative of velocity with respect to time:

a = 2x

dv/dt = 2x

Apply chain rule:

dv/dt = dx/dt × dv/dx

dv/dt = v × dv/dx

Therefore:

v dv/dx = 2x

Separate the variables and integrate:

v dv = 2x dx

½ v² |ᵤᵛ = x² |₀ˣ

½ (v² − u²) = x²

v² − u² = 2x²

v² = u² + 2x²

I will make you brainliest! Very Easy question!!!!
How can you define synthetic material and natural material?

Answers

Answer:

Synthetic Materials are man-made; natural materials are only warmer than synthetic materials, if the natural material is obtained from an animal. Wool is warmer than any synthetic material available, but polyester (a synthetic material) can be warmer than cotton (a natural plant-based material).

A car travels 60 m/s for 10 seconds
Calculate how far it traveled.

Answers

Answer:

600 m

Explanation:

60 meters / second is 60 meters traveled in one single second.

in ten seconds, it would be 10 times the amount in one second.

so 60 meters / second times 10 seconds = 600 meters.

Answer: 600 meters

Explanation: 60 meters per second so 60 times 10

Gravity is the force that keeps us on the Earth. It pulls us towards the center of the Earth. If you were to move from the surface of the Earth to a point higher up, away from the Earth, what type of energy would be gained? A. Chemical potential energy B. Gravitational potential energy C. Gravitational kinetic energy D. Kinetic potential energy

Answers

Answer: B. Gravitational potential energy

Explanation:

The gravitational potential energy is the energy that a body or object possesses, due to its position in a gravitational field.

That is why this energy depends on the relative height of an object with respect to some point of reference and associated with the gravitational force.

In the case of the Earth, in which  the gravitational field is considered constant, the value of the gravitational potential energy [tex]U_{p}[/tex] will be:

[tex]U_{p}=mgh[/tex]  

Where [tex]m[/tex] is the mass of the object, [tex]g[/tex] the acceleration due gravity and [tex]h[/tex] the height of the object.

As we can see, the value of [tex]U_{p}[/tex] is directly proportional to the height.

the pressure of 20cm of mercury is a.27200 n/m2 b.27500n/m2 c.28000n/m2 d.29000n/m2​

Answers

Answer:

im note too sure

Explanation:

please ask again later

some fuel cells are powered by hydrogen scientists are looking into the decomposition of water to make hydrogen fuel with the help of the sun's energy what challenge do scientists face with this task


A) Decomposing water requires high activation energy
B) The sun isn't a renewable resource
C) Decomposing water results in toxic byproducts
D) Scientists are uncertain what to do with the excess oxygen

Answers

Answer:

A) Decomposing water requires high activation energy

Explanation:

The sun is a renewable resource, because the solar energy we use is less than the solar energy being created.  Decomposing water produces hydrogen gas and oxygen gas, which aren't toxic.  The oxygen is used in the combustion of the hydrogen gas.  However, splitting water molecules into hydrogen and oxygen takes a lot of energy.

Answer:

A Decomposing water requires high activation energy

Explanation:

A body has density of 2kg/m² and volume 2m². Find the mass of the volume​

Answers

Answer:

4kg

Explanation:

density is mass/ volume, 4/2= 2

Answer:

The mass is 4kg

Explanation:

Density of an object is defined as the ratio of the mass of the object to its volume. Mathematically,

Density = mass/volume

Mass is measured in kilogram (kg)

Volume is measured in m³

From the formula;

Mass = Density × volume

Mass = 2kg/m³ × 2m³

Mass = 4kg



Which set of data would be best illustrated with a bar graph?

the effect of hours spent exercising on heart rate

the number of skyscrapers in 5 different cities

an illustration of how the humidity in the air responds to the temperature of the air

data showing how the number of hours spent studying affects the score on an exam

Answers

Answer:

the number of skyscrapers in 5 different cities ( second choice)

Answer:

the number of skyscrapers in 5 different cities

Explanation:

A bar graph is a perfect way to show the relation between two components where the components are not variable. Here if you look at second option, the two components are: No. of skyscraper and cities. It is evident that the skyscraper's no. is not a variable and will remain fixed.

While if you look at the other option, the components are variable and thus can not be represented on a bar graph.

What happens to incoming light rays that are parallel to the principal axis of a convex lens? A. They converge at the focal point. B. They diverge away from the principal axis. C. They converge beyond the focal point. DO. They diverge from the focal point.

Answers

Answer:

D. They diverge from the focal point.

Explanation:

Incoming light rays diverge from the focal point is they are parallel to the principal axis of a convex lens.

Answer:

They diverge from the focal point.

Explanation:

A convex lens is also called as converging lens. If the rays of light are parallel to the principal axis of a convex lens, it passes through the focal point of the lens.

For a converging lens, the ray of light diverge from the focal point of the lens. The image formed by a convex lens is real and inverted. When the object is placed between the focus and the optical center, the image is virtual and erect.

So, the correct option is (d) "They diverge from the focal point".

A 225 kg block is pulled by two horizontal forces. The first force is 178 N at a 41.7-degree angle and the second is 259 N at a 108-degree angle. What is the x and y component of the total force acting on the block?

Answers

Answer:

52.9 N, 364.7 N

Explanation:

First of all, we need to resolve both forces along the x- and y- direction. We have:

- Force A (178 N)

[tex]A_x = (178 N)(cos 41.7^{\circ})=132.9 N\\A_y = (178 N)(sin 41.7^{\circ})=118.4 N[/tex]

- Force B (259 N)

[tex]B_x = (259 N)(cos 108^{\circ})=-80.0 N\\B_y = (259 N)(sin 108^{\circ})=246.3 N[/tex]

So the x- and y- component of the total force acting on the block are:

[tex]R_x = A_x + B_x = 132.9 N - 80.0 N =52.9 N\\R_y = A_y + B_y = 118.4 N +246.3 N = 364.7 N[/tex]

Answer:

x: 52.9

y: 364.7

Explanation:

2 Points
What was a Democratic Party argument against the building of transportation
systems by the federal government?
O
A. The plan would result in the loss of farming jobs.
O
B. The plan would result in the loss of city jobs.
O
C. The plan would result in domination of the country by special
interests.
O
D. Only state governments could afford the large costs of the plan.
S

Answers

Answer:

The plan would result in domination of the country by special interests. - C.

A student drives her car at 54.0 km/h along a level (horizontal) curve. The combined mass of the car is 1250 kg. If the
curve has a radius of 70.0 m, what centripetal force must be supplied by friction to keep the car from skidding?

Answers

Answer:

4020 N

Explanation:

First convert km/h to m/s.

54.0 km/h × (1000 m / km) × (1 h / 3600 s) = 15.0 m/s

Sum of the forces in the radial direction:

∑F = ma

F = m v² / r

F = (1250 kg) (15.0 m/s)² / 70.0 m

F ≈ 4020 N

which letter represents the wavelength of the wave?

A: a

B: b

C: c

D: d​

Answers

Answer:

D

Explanation:

Shows the distance between each new wave.

The letter in the image, that represents the wavelength or the distance traveled by the wave is letter d.

What is wavelength?

The wavelength of a wave is the distance traveled by the wave. This distance can be from one crest to another or from crest of a wave to the trough of a wave.

When the distance is between two successive crest or trough, it becomes one wavelength.

From the given image, the letter that represents the wavelength of the wave is letter d.

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The period and frquency of a wave are inversely related true or false​

Answers

Answer:

True

Explanation:

As frequency increases, the length of the wave (period) decreases.

As frequency decresaes, the length of the wave (period) increases.

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The statement is true; period and frequency have an inverse relationship because the period is the time for one complete wave cycle and frequency is the number of cycles that occur per second.

The statement that the period and frequency of a wave are inversely related is true. The period (T) of a wave is defined as the time for one complete wave cycle, whereas the frequency (f) is the number of waves that pass a point in one second. Because these two quantities measure opposite concepts - time per cycle versus cycles per time - their relationship is inherently inverse, which can be represented mathematically as f = 1/T. Considering electromagnetic waves, we acknowledge that as the wavelength increases, the frequency decreases, demonstrating again the inverse relationship. Similarly, a higher frequency means waves have less time between cycles, leading to a shorter period. This principle is a fundamental concept in wave physics and applies to all types of waves, including sound, light, and mechanical waves.

Hybrid seeds are deliberately crossbred for particular traits, such as growth pattern or disease resistance. They have been hand-pollinated and are patented, often sterile, and genetically identical within food types. These plants are usually grown in a monocultural environment and are cultivated for mass production and sale. They must be sturdy to withstand mechanical picking and cross-country shipping. They do not compare to the quality and taste of heirloom plants, but they do produce large, healthy fruit that appeals to most shoppers. Unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again.

Which statement can be removed and not affect the excerpt’s reliability?

Answers

Answer:

Unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again.

Explanation:

The statement that can be removed without affecting the reliability of overall paragraph is, "unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again". This is because even if we remove this line, the paragraph still looks completely understandable, reliable and in a flow.

If we talk about hybrid plants, we know that they are produced through cross pollination of the crops with desired traits. Although they are sterile and cannot produce offspring, however the plants which are raised from these seeds are edible and quite healthy. This is why these plants have better yield and a better resistance against environmental constraints like diseases and stresses. After the production, hybrid seeds are stored and they are able to produce plants of similar types.

Hope it helps!

Answer:

C on edg

Explanation:

What is the importance of the International Space Station?

Answers

Answer:

The main purpose of International Space Station is to provide an international labotary for experiment within the space environment. Which, despite all our technological advances, is nearly impossible to replicate here on Earth.

ISS is also a laboratory to prepare us for the next level of the space exploration and the long duration exposure to space that comes with that.

What is the resistance of a circuit with a voltage of 10 volts (V) and a current of 5 amps (A)? Use Ohm’s law to calculate the resistance.

Answers

Answer: 2Ω

Explanation:

V = IR

R = V/I

R = 10/5 = 2Ω

Hope it helped!

11. If a bar magnet's neutral region is broken in two, what will most likely occur?

Answers

Answer:

When the neutral point of a magnet is broken into two each part gains polarity opposite to each other. This is because the broken parts of this magnet become a complete magnet as the Original magnet with complete poles N and S.  

When the neutral region of a bar magnet is broken into two, the broken two parts of the magnet becomes a whole magnet in itself, that is from one magnet, two new magnets are formed.

Explanation:

The neutral region exists in the mid of the magnet as the magnet is only polarized at the end on whole. Thereby the broken pieces on its ends acquires the polarity on the two end sides.

This occurs in both the broken parts. With the acquirement of the polarity, one side becomes the North Pole and the other side becomes the South pole. Therefore, the broken bar magnets becomes a magnet in itself.  

A circular track begins at O meters and has a total distance of 100 meters. Juliet starts at the 10-meter mark while practicing
for a race.
After running 45 meters, how far is she from the beginning of the track?
10 meters
35 meters
45 meters
55 meters

Answers

Answer:

55 meters

Explanation:

She started at the 10 meter mark, and ran 45 meters.  So her final position is:

10 m + 45 m = 55 m

She is 55 meters from the beginning of the track (the 0 meter mark).

Answer:

55 meters

Explanation:

If Juliet starts at the 10-meter mark while practicing  for a race, after running 45 meters, she is 55 meters from the beginning of the track.

10 m + 45 m = 55 m

Other Questions
Find the least squares approximation of the the data (0, 1), (1, 2), (2, 1/2) (3, 3) using the quadratic function p(x) = a_0 + a_1 x + a_2 x^2. Plot p(x) along with the data to compare. What is the missing justification? State the two Carnot corollaries (principles) The gravitational force between two objects is 100 NIf the mass of each object is doubled, what is thegravitational force between the objects at the samedistance?a:25 Nb:50 Nc:200 Nd:0400 N What is the simplifier expression for 3(2x-7)+2+ 2(x+y)? write the following inequality in slope-intercept form -6x+2y is greater than on equal to 42 Julie's Boutique has total receipts for the month of $30,660 including sales taxes. If the sales tax rate is 5%, what are Julie's sales for the month? Question 10 options: A) $32,193 B) $29,200 C) It cannot be determined. D) $29,127 Give three reasons why you think ETL functions are mostchallenging in data warehouse environment. What is a histone protein A medical laboratory tested 8 samples of human blood for acidity on the pH scale, with the results below. 7.1 7.5 7.6 7.4 7.3 7.3 7.3 7.5 a. Find the mean and standard deviation. b. What percentage of the data is within 2 standard deviations of the mean? what is b^2-2b+1 factored A ray diagram is shown.Which describes the image?It is virtual and in front of the mirror.It is virtual and behind the mirror.It is real and in front of the mirror.It is real and behind the mirror. North Company has completed all of its operating budgets. The sales budget for the year shows 50,000 units and total sales of $2,250,000. The total unit cost of making one unit of sales is $25. Selling and administrative expenses are expected to be $300,000. Interest is estimated to be $10,000. Income taxes are estimated to be $200,000. Prepare a budgeted multiple-step income statement for the year ending December 31, 2017. what is the graph of the linear inequality 2x-3y Which of the following is the equation of the line that is perpendicular to y = -1/8x-2 and goes through the point (-2,-3)? Assume that the price elasticity of demand for movie theatres is 20.85 during all evening shows but for all afternoon shows the price elasticity of demand is 22.28. For the theater to maximize total revenue, it should a. charge the same price for both shows, holding other things constant. b. charge a higher price for the afternoon shows and lower price for the evening shows, holding other things constant. c. charge a lower price for the afternoon shows and higher price for the evening shows, holding other things constant. d. Need more information. Identify the Brnsted-Lowry acid, the Brnsted-Lowry base, the conjugate acid, and the conjugate base in each reaction: (a) C5H5N(aq)+H2O(l)C5H5NH+(aq)+OH(aq) (b) HNO3(aq)+H2O(l)H3O+(aq)+NO3(aq) Please solve at least one. thanks! What can help slow down the pacing of a story?OA. Flashing back to events that happened earlierB. Providing clues to future events in the storyOC. Including short, simple sentences with few detailsOD. Using sentences that are detailed and complex ability to dissolve in water