A building's 10th floor (34.5 m high) is blazing with fire. A fire truck arrived at the scene and the fire
men shoots water from their hose. The water leaves the hose at the speed of 29 m/s, at an angle
of
63° and is held at 0.90 m from the ground. Will the water reach the fire? If so, how far from the
building should the hose be so the fire could be put out? ​

Answers

Answer 1

Answer:

Yes, the water will be reach the fire.

The hose should be at 34.7 m from the building

Explanation:

Given that,

Height of building's =34.5 m

Speed = 29 m/s

Angle = 63°

Distance from the ground = 0.90 m

We need to calculate the actual height

Using formula of height

[tex]H=\dfrac{u^2\sin^2\theta}{2g}[/tex]

Put the value into the formula

[tex]H=\dfrac{29^2\sin^2{63}}{2\times9.8}[/tex]

[tex]H=34.0\ m[/tex]

The height from the ground will be

[tex]H'=34+0.90[/tex]

[tex]H'=34.9\ m[/tex]

We can say that, the water gun attained the maximum height that is 0.4 m more than the 10th floor.

So, yes, the water will be reach the fire.

We need to calculate the range

Using formula of range

[tex]R=\dfrac{u^2\sin2\theta}{g}[/tex]

Put the value into the formula

[tex]R=\dfrac{29^2\times\sin(2\times63)}{9.8}[/tex]

[tex]R=69.4\ m[/tex]

The house should be at half of R.

[tex]\dfrac{R}{2}=\dfrac{69.4}{2}[/tex]

[tex]\dfrac{R}{2}=34.7\ m[/tex]

Hence, Yes, the water will be reach the fire.

The hose should be at 34.7 m from the building


Related Questions

3. Pencils should not be used inside the computer to change the setting of switches or to
and
pry off jumpers because the tip contains lead which can act as a
may damage the computer Components.​

Answers

Answer: True

Explanation:

Pencils indeed should not be used as tools when working inside a computer because it is made of Lead.

Lead is a conductor of electricity and as such if it is left inside the computer at even miniscule quantities, it can redirect electricity and damage components in the process.

If one wants to work inside a computer, it is best to use tools like tweezers and needle-nose pliers.

Due to the presence of graphite(A good conductor of electricity), Pencils should not be used inside the computer to change the setting of switches.

What is the meaning of conductors?

The conductors are the materials that can allow electricity and heat to pass through them.

Since the pencils are made up of graphite which is a good conductor of electricity. When we use pencils to do something inside the computer circuits and if some portion of the graphite remains on the circuit board.

Now due to the good conducting property of the graphite, it will allow the current to flow and the short circuit of the circuit board can take place which will damage the computer.

Thus due to the presence of graphite(A good conductor of electricity). Pencils should not be used inside the computer to change the setting of switches.

To know more about Conducting materials follow.

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What volume is represented by each small tick mark ? Help !!!

Answers

Answer:

In the taller, skinnier cylinder, each tick mark represents 2, while in the larger one, each tick mark represents 50.

Explanation:

If you count the tick marks between each big number, then you can divide, and figure out what amount each tick mark represents.

An airplane flying at 119 m/s is accelerated uniformly at the rate of 0.5 m/s2 for 10
seconds. What is its final speed?

Answers

Answer:

124m/s

Explanation:

v=u+at

v=119+(0.5×10)

v=119+5

v=124m/s

Calculate the acceleration of a student riding his bicycle in a straight line that speeds up from 4 m/s to 6 m/s in 5 seconds.

Answers

Acceleration is equal to velocity final minus velocity initial divided by time. 6m/s minus 4m/s divided by 5 seconds is 0.4m/s^2.

In order for clouds to form, what must happen first?

Answers

Answer:

Step 1: Change Water Vapor into Liquid Water

But in order to grow a cloud, we need to get the water vapor from a gas to its liquid form. Clouds begin to form when a parcel of air rises from the surface up into the atmosphere

Explanation:

Define Transmission, reflection, refraction and diffraction

Answers

Answer:

transmission:  the act or process by which something is spread or passed from one person or thing to another

reflection: when light from an object is reflected by a surface, it changes direction. It bounces off the surface at the same angle as it hits it. Smooth, shiny surfaces such as mirrors and polished metals reflect light well.

refraction: change in direction of a wave passing from one medium to another or from a gradual change in the medium

diffraction: various phenomena that occur when a wave encounters an obstacle or opening

PLS URGENT!!
A radio station sending out a radio wave of frequency 100.5MHz at velocity of 3×10⁸ms⁻¹. At what wavelength is the radio station broadcasting

Answers

Wavelength = velocity / frequency = 3 x 10^8 / 100.5 x 10^6 = 2.99 m

which can occur in a physical change​

Answers

Physical changes occur when objects or substances undergo a change that does not change their chemical composition. This contrasts with the concept of chemical change in which the composition of a substance changes or one or more substances combine or break up to form new substances.( Answer from google )

Answer:

A physical change involves a change in physical properties. Examples of physical properties include melting, transition to a gas, change of strength, change of durability, changes to crystal form, textural change, shape, size, color, volume and density.

Explanation:

1. Why is it important to use units in any graph?




2. Why does any graph need a title on it?

Answers

Answer:

so its easier to understand for the reader

Explanation:

2) Labelling. Graphs are used to present data. They must be clearly labelled if the reader is to understand them. By labelling we are referring to the text inside the graph itself, and not the title.

The derivative of a position function is a velocity function. The derivative of a velocity function is an acceleration function. A particle moves along a straight line. The distance of the particle from the starting point at time t is given by the function: s=t5−6t4 Find the value of t (other than 0 ) at which the acceleration is equal to zero. 6

Answers

Answer:

3.6secs

Explanation:

Given the distance of the particle from the starting point at time t is given by the function: s=t⁵−6t⁴

velocity v(t) = ds/dt

[tex]v(t) = 5t^{5-1}-4(6)t^{4-1}\\v(t) = 5t^4-24t^3\\[/tex]

Next is to get the acceleration function:

[tex]a(t) = 4(5)t^{4-1}-3(24)t^{3-1}\\a(t) = 20t^3-72t^2[/tex]

Next is to get the value of t at which the acceleration is equal to zero

[tex]a(t) = 20t^3-72t^2\\0 = 20t^3-72t^2\\20t^3-72t^2 = 0\\t^2(20t-72) = 0\\t^2 =0 \ and \ 20t-72 = 0[/tex]

Since t ≠ 0, hence;

20t -72 = 0

20t = 72

t = 72/20

t = 3.6secs

Hence the value of t (other than 0 ) at which the acceleration is equal to zero is 3.6secs

Suggest one reason why the bricklayer needs a higher energy diet than the computer operator

Answers

Answer:

he needs more because he is doing more exercise this means he is working his body more and he needs more energy than someone he is sitting in an office. The computer operator would not need as much energy as the brick layer.

What is true about radioactive isotopes of an atom?


They are less stable.


They are more abundant.


They are more scarce.


They are more stable.

Answers

Answer:

they are less stable

Explanation:

i took the test

the rotational speed of earth is similar to?​

Answers

Actually, the speed of the earth is the same everywhere, taking the angular speed as the valid measure of the speed

The bodies of many cars are designed to compress or crumple during an accident. Why are cars built with a crumple zone?

Answers

By collapsing and crumpling, the force and energy is absorbed by the crumple zone and it is not transferred to the passengers inside. This is a safety feature for the passengers.

A reversible power cycle operates with a thermal efficiency of 75%. The cycle receives energy input by heat from a thermal reservoir at 1200K. What is the temperature, in K, of the low temperature thermal reservoir

Answers

Answer:

The temperature of the low temperature thermal reservoir is 300 K.

Explanation:

All reversible power cycles are equivalent to the Carnot's cycle, whose equation for efficiency is:

[tex]\eta_{th} =1-\frac{T_{L}}{T_{H}}[/tex] (Eq. 1)

Where:

[tex]\eta_{th}[/tex] - Thermal efficiency, dimensionless.

[tex]T_{H}[/tex] - High temperature reservoir, measured in Kelvin.

[tex]T_{L}[/tex] - Low temperature reservoir, measured in Kelvin.

Now we proceed to clear the low temperature reservoir within:

[tex]\frac{T_{L}}{T_{H}} = 1-\eta_{th}[/tex]

[tex]T_{L} = (1-\eta_{th})\cdot T_{H}[/tex]

If [tex]\eta_{th} = 0.75[/tex] and [tex]T_{H} = 1200\,K[/tex], then:

[tex]T_{L} = (1-0.75)\cdot (1200\,K)[/tex]

[tex]T_{L} = 300\,K[/tex]

The temperature of the low temperature thermal reservoir is 300 K.

15) A 1720 kg car accelerates at a rate of 3.0 m/s2. How much force is the car's engine producing? (use the formula F=ma

Answers

Answer:

The answer is 5160 N

Explanation:

To find the force acting on an object given it's mass and acceleration we use the formula

Force = mass × acceleration

From the question

mass = 1720 kg

acceleration = 3.0 m/s²

We have

Force = 1720 × 3

We have the final answer as

5160 N

Hope this helps you

A block of wood mass 0.60kg is balanced on top of a vertical port 2.0m high. A 10gm bullet is fired horizontally into the block and the embedded bullet land at a 4.0m from the base of the port. Find the initial velocity of the bullet.

Answers

Answer:

Mass of bullet is m=0.01kg

Mass of the block is M=4kg

Coefficient=0.25,distance=20m

So, let the speed of the block just after the bullet embedded in it be V and v be the speed of bullet before striking the block,

By applying conservation of momentum,

mv=(m+M)V

V=

M+m

mv

Explanation:

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The initial velocity of the bullet is 382 m/s

The given parameters;

mass of the wood, m₁ = 0.6 kgheight of the port, h = 2mass of the bullet, m₂ = 10 g = 0.01 kghorizontal distance traveled by the bullet, x = 4 m

Apply the principle of conservation of mechanical energy;

The maximum potential energy of the bullet-wood system at the top of the port  = maximum kinetic energy of the system at the base of the port.

[tex]K.E_{max} = P.E_{max}\\\\\frac{1}{2} mv_{max}^2 = mgh_{max}\\\\v^2_{max} = 2gh_{max}\\\\v_{max} = \sqrt{2gh_{max}} \\\\v_{max} = \sqrt{2\times 9.8\times 2} \\\\v_{max} = 6.26 \ m/s[/tex]

Apply the principle of conservation of linear momentum to determine the initial velocity of the bullet;

let the initial velocity of the bullet = u₂

[tex]m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\0.6(0) + 0.01(u_2) = 6.26((0.6 + 0.01)\\\\0.01u_2 = 3.819\\\\u_2 = \frac{3.819}{0.01} \\\\u_2 = 381.9 \ \approx 382 \ m/s[/tex]

Thus, the initial velocity of the bullet is 382 m/s

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What is the displacement of the cross-country team if they begin at the school, run 16 kilometers and finish back at the school? Calculate the average speed and average velocity if they finish in 1 hour and 15 minutes?

Answers

Displacement is change in position over time. Their change in position is 0. Their final position is the exact same as their initial (where they started).

Average speed is total distance, not displacement. They ran 16 kilometers and back another 16 kilometers. That’s 32 kilometers. We want to change this into meters tho. That’s the si unit for speed. So multiply that by 1000 to get 32,000 meters. Now divide that by the time. Again, convert that hour and 15 minutes into seconds because the si unit for time is seconds. Do 1*3600 and then add 15*60 to get 4,500 seconds.
32,000m/4,500s = 7.1 m/s

Average velocity is displacement over time. We already went over that the displacement is 0, so therefore average velocity is 0

Stokes’ law describes sedimentation of particles in liquids and can be used to measure viscosity. Particles in liquids achieve terminal velocity quickly. One can measure the time it takes for a particle to fall a certain distance and then use Stokes’ law to calculate the viscosity of the liquid. Suppose a steel ball bearing (density 7.8 \times 10^3~\text{kg/m}^37.8×10 ​3 ​​ kg/m ​3 ​​ and diameter 3.0~\text{mm}3.0 mm) is dropped in a container of motor oil. It takes 12 s to fall a distance of 0.60 m. Calculate the viscosity of the oil.

Answers

Answer:

The viscosity is  [tex]\eta  = 0.76243 \ kg/ m \cdot s [/tex]  

Explanation:

From the question we are told that

  The  density is  [tex]\rho  =  7.80 *10^{3} \  kg/m^3[/tex]

  The diameter is  [tex]d =  3.0 \  mm =0.003 \ m[/tex]

    The  time taken is  [tex]t  =  12 \ s[/tex]

   The  distance covered is  [tex]d =  0.60 \ m[/tex]

Generally the velocity of the ball is  

      [tex]v  =  \frac{d}{t}[/tex]

=>    [tex]v  =  \frac{0.60}{12}[/tex]

=>    [tex]v  =  0.05 \ m/s [/tex]

Generally the mass of the steel ball is  

    [tex]m  =  \rho  *  V[/tex]

Here  V  is the volume and this is mathematically represented as

     [tex]V  =  \frac{4}{3} *  \pi  * [\frac{d}{2}  ]^3[/tex]

=>    [tex]V  =  \frac{4}{3} *  3.142  * [\frac{0.003}{2}  ]^3[/tex]

=>      [tex]V  = 1.414 *10^{-8} \  m^3[/tex]

So

     [tex]m  = 7.80 *10^{3}  *   1.414 *10^{-8}[/tex]

     [tex]m  = 0.00011 \  kg [/tex]

Generally the viscosity is mathematically represented as  

     [tex]\eta  =  \frac{m  *  g}{6\pi  *  r  *  v }[/tex]

Here  r is the radius represented as

      [tex]r =  \frac{d}{2}[/tex]

=>   [tex]r =  \frac{0.003}{2}[/tex]

[tex]r =  0.0015  \  m [/tex]

So

  [tex]\eta  =  \frac{0.00011  *  9.8}{6 *  3.142   * 0.0015  * 0.05 }[/tex]    

=> [tex]\eta  = 0.76243 \ kg/ m \cdot s [/tex]

In positron-emission tomography (PET) used in medical research and diagnosis, compounds containing unstable nuclei that emit positrons are introduced into the brain, destined for a site of interest in the brain. When a positron is emitted, it goes only a short distance before coming nearly to rest. It forms a bound state with an electron, called "positronium", which is rather similar to a hydrogen atom. The binding energy of positronium is very small compared to the rest energy of an electron. After a short time the positron and electron annihilate. In the annihilation, the positron and the electron disappear, and all of their rest energy goes into two photons (particles of light) which have zero mass; all their energy is kinetic energy. These high energy photons, called "gamma rays", are emitted at nearly 180° to each other. What energy of gamma ray (in MeV, million electron volts) should each of the detectors be made sensitive to? (The mass of an electron or positron is 9 × 10-31 kg. 1 eV = 1.6 × 10-19 joules.

Answers

Answer:

Energy of gamma ray = 506250 eV

Explanation:

We are told that the mass of an electron or positron is 9 × 10-31 kg.

This means that their energies will be the same.

Thus; E_e = E_p

Now, since electron and positron annihilate to form gamma(γ) particle, then using work energy principle, we have;

E_γ + E_γ = E_e + E_p

Thus;

2E_γ = E_e + E_p

Since E_e = E_p, we now have;

2E_γ = 2E_e

Thus;

E_γ = E_e

Since all the energy of the electron is converted, then from Einstein's relativity theory, this implies that;

E_e = mc²

c is speed of light = 3 × 10^(8) m/s

And m is given as 9 × 10^(-31) kg

Thus;

E_e = 9 × 10^(-31) × (3 × 10^(8))^(2)

E_e = 810 × 10^(-16) J

Since E_γ = E_e

Thus;

E_γ = 810 × 10^(-16) J

We are given that; 1.6 × 10^(-19) J = 1eV

Thus; 810 × 10^(-16) J gives;

(810 × 10^(-16) × 1)/(1.6 × 10^(-19)) = 506250 eV

Why can concave mirror is used in cosmetic mirror​

Answers

A concave mirror is a curved mirror that bulges inward. Objects reflected in concave mirrors often appear bigger than they really are, although the specifics of how the image appears depends upon the object's distance from the mirror. Concave mirrors are used in car headlights, in dentist's offices and in makeup mirrors.

Which is formed by positive ions from a base and negative ions from an acid?

salt
vinegar
soap
carbonate

Answers

Answer:a

Explanation:

The formation of salt takes place by the sharing of positive ions from a base and negative ions from an acid. Hence, option (a) is correct.

The given problem is based on the concept and fundamentals of Neutralization. The process of neutralization is the name given to the chemical reaction between that takes place between the acid and base.

An acid is the chemical species having the negative ion, hence also known as anions.And the bases are the chemical species having the positive ions, hence they are also known as cationic species. During the chemical reaction between the acid and base, the positive ions from the base and negative ions from the an acid forms a neutral compound, known as Salt. Therefore, this reaction is also known as neutralization reaction.

Thus, we can conclude that the formation of salt takes place by the sharing of positive ions from a base and negative ions from an acid. Hence, option (a) is correct.

Learn more about the Neutralization reaction here:

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Two charged objects, A and B, are exerting an electric force on each other. What will happen if the charge on A is increased?
А. The charge on B will decrease.
В. The charge on B will increase.
C. The electric force between A and B will decrease.
D. The electric force between A and B will increase.

Answers

Answer: The forces acting on both of them will increase in magnitude.

Explanation:

According to Coulomb's law, the electrostatic force between two bodies is proportional to the product of their two charges. If the charge on A is increased this product increases in size (it must have been non-zero to begin with, since there was a force between them at first). Thus, the force between them rises.

Answer:

d. seems like the right answer.

Explanation:


A car is traveling at a speed of 45 km/h into town. It takes the car 2 hours to get there. How far has the car traveled?

Answers

Answer:

90 km

Explanation:

45 km per hr

2 hrs

45 x 2 = 90

90 km/2 hrs

Hope this helps!

The car traveled 90 km
If the car is traveling 45 km per hour you just need to double it by multiplying it by 2 to get 2 hours

An object is traveling with a velocity of 3.05 m/s. The object then accelerates at 2.82 m/s-over a
displacement of 18.4 m. What is its final velocity?

Answers

Answer:

Final velocity (v) = 5.148 m/s (Approx)

Explanation:

Given:

Initial velocity (u) = 3.05 m/s

Acceleration (a) = 2.82 m/s²

Displacement (s) = 18.4 m

Find:

Final velocity (v)

Computation:

v² = u² + 2as

v² = (3.05)² + 2(2.82)(3.05)

v² = 9.3025 + 17.202

v² = 26.5045

v = 5.148 m/s (Approx)


3 general relevant psychology related problems at present

Answers

Answer:

Explanation:

Scientific research conducted by psychologists, organized by topics here, can inform and guide those seeking help with issues that affect their professional lives, family relationships and emotional wellness.Tips for choosing a psychotherapist and answers to financial questions related to therapy.

When faced with important events (stressors) which are threatening or very hard to, psychological symptoms of stress include anxiety and tension, uncontrollable. In general, this refers to high levels of suspicion and mistrust, usually seen in this psychological condition is associated with acute physical sickness

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HELPP PLEASEEE Which issue is not a challenge an organism encounters?


A getting energy

B reproducing

C maintaining structure

D regenerating arms

Answers

either D or B maybe

Answer:

regenerating arms....

A box weighing 52.4 N is sliding on a rough horizontal floor with a constant friction force of magnitude LaTeX: ff. The box's initial speed is 1.37 m/s and it stops after 2.8 s. Determine the magnitude of the friction force exerted on the box.A box weighing 52.4 N is sliding on a rough horizontal floor with a constant friction force of magnitude LaTeX: ff. The box's initial speed is 1.37 m/s and it stops after 2.8 s. Determine the magnitude of the friction force exerted on the box.

Answers

Answer:

The magnitude of the friction force exerted on the box is 2.614 newtons.

Explanation:

Since the box is sliding on a rough horizontal floor, then it is decelerated solely by friction force due to the contact of the box with floor. The free body diagram of the box is presented herein as attachment. The equation of equilbrium for the box is:

[tex]\Sigma F = -f = m\cdot a[/tex] (Eq. 1)

Where:

[tex]f[/tex] - Kinetic friction force, measured in newtons.

[tex]m[/tex] - Mass of the box, measured in kilograms.

[tex]a[/tex] - Acceleration experimented by the box, measured in meters per square second.

By applying definitions of weight ([tex]W = m\cdot g[/tex]) and uniform accelerated motion ([tex]v = v_{o}+a\cdot t[/tex]), we expand the previous expression:

[tex]-f = \left(\frac{W}{g} \right)\cdot \left(\frac{v-v_{o}}{t}\right)[/tex]

And the magnitude of the friction force exerted on the box is calculated by this formula:

[tex]f = -\left(\frac{W}{g} \right)\cdot \left(\frac{v-v_{o}}{t}\right)[/tex] (Eq. 1b)

Where:

[tex]W[/tex] - Weight, measured in newtons.

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

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

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

[tex]t[/tex] - Time, measured in seconds.

If we know that [tex]W = 52.4\,N[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]v_{o} = 1.37\,\frac{m}{s}[/tex], [tex]v = 0\,\frac{m}{s}[/tex] and [tex]t = 2.8\,s[/tex], the magnitud of the kinetic friction force exerted on the box is:

[tex]f = -\left(\frac{52.4\,N}{9.807\,\frac{m}{s^{2}} } \right)\cdot \left(\frac{0\,\frac{m}{s}-1.37\,\frac{m}{s} }{2.8\,s} \right)[/tex]

[tex]f = 2.614\,N[/tex]

The magnitude of the friction force exerted on the box is 2.614 newtons.

A coil is wrapped with 206 turns of wire on the perimeter of a circular frame (of radius 31 cm). Each turn has the same area, equal to that of the frame. A uniform magnetic field is directed perpendicular to the plane of the coil. This field changes at a constant rate from 23 mT to 54 mT in 24 ms. What is the magnitude of the induced average E in the coil, over the time interval 24 ms during which the field changes? Answer in units of V.

Answers

Answer:

  E = -80.33 V

Explanation:

For this exercise we use Faraday's law of induction

         E = - N d[tex]\phi _{B}[/tex] / dt

where the magnetic flux is

        \phi _{B} = B A cos θ

In the exercise they indicate that the magnetic field is perpendicular to the coil, therefore the normal of the coil area and the field has the same direction, consequently the angle is zero. Since the area is constant

        E = - N A dB / dt

let's look for each term

        a =π r²

they tell us that the variation in the field is linear

         dB / dT = (B_f-B₀) / t

we substitute

       E = - N (π r²) (B_f -B₀) / t

let's calculate

       E = - 206 π 0.31² (54 - 23) 10⁻³ / 24 10⁻³

        E = -80.33 V

A particular car can go from rest to 90 km/h in 10 s. What is its acceleration? (Report your answer in km/h*s)

Answers

Answer: 9 km/h

Explanation:i’m pretty sure

Answer:

Well, it depends on the type of car but a regular car like a toyota 4x4 only goes at 5k/h if the car starts when complete rest

Other Questions
When it comes to understanding and performing or playing music, learning about the basics is crucial. And when we talk about the basics, we are talking about the elements of musicrhythm, pitch, melody, and harmonyall of which you explored in Unit 2. And for this lab, you will have the opportunity to further explore and demonstrate your understanding of these elements in a multi-media slideshow presentation!The guidelines for this lab are pretty simple and allow for maximum creativity on your partyou will create a slideshow presentation with a minimum of one slide dedicated to each of the four elements of music.Each slide should include the following:A title (the element should be featured in the title of the slide)A basic definition or overview of the elementAn audio or video example of this elementYou may find an audio or video file online and insert it into the slide or you may create your own audio or video file demonstrating the element in a creative wayAn image that you can reasonably associate with the element and a brief explanation of the image and how it relates to the elementOutside of the above guidelines, you can feel free to let your creativity run wild! Your goal should be to offer a thorough and complete overview and explanation of each element, including an audio or visual demonstration that creatively represents each element. Outside of these guidelines, feel free to insert your own personality and creativity in the form of colors, fonts, graphics, images, and audio and visual elements! ASAP What argument is President Cleveland making in this statement?A. Citizenship wont be offered to recent immigrants B. Immigrants and their children can be good citizens C. Limiting immigration is good for the country D. The best immigrants return to their home countries A water hose discharges water at a rate of 45 gallons per minute. Which graph has a slopethat best represents this rate? CANPLACE VALUEHow does the 5 in the tens placecompare to the 5 in the ones place?3,055 Why were people willing to risk their lives in order to engage in the civil rights movement? What would the phrase "three times the sum of a number and 4" look like as avariable expression?3x +4O3(3x +4)O3(x + 4)3x -4 if acceleration is positive does velocity have to be positive? Other word for sequence 20m/s into km/hr20 metre Jason traveled to Portland by carGoing there took 7 hours, and the return trip lasted 5 hours. Jason averaged a speed of 63 mph while returningFind the average speed of the trip there What is the value of x? Can anyone do 4.503 times 8.04 Question 10Completa la oracin con el imperfecto del verbo entre parntesis.De nio, yo(ser) muy travieso. Ests en un restaurante.a.Ests jugando.c.Ests comiendo.b.Ests tocando la guitarra.d.Ests viajando.Please select the best answer from the choices provided A car travelling at 30 km/h takes 40 minutes to complete a journey. How long would it take if ittravelled at 60 km/h? 3. The manipulation of living organisms to produce desired products or results is known as...a. Sustainabilityb. Biotic Factorc. Biotechnologyd. Abiotic Factor 100 pts + brainliest for the best answer :)Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the presidents goal?Least number of tickets = ___ Which situation can be modeled by the equation y = mx + b? What is isoptical instrument Solve the following exercises and discuss your results with your classmates and teacher.1. The initial, final position and displacement of a particle are:a) xi = 20m, xf = 6m How much did it move?b) xi = 10km, x = 15km, what is the final position of the particle?2. An athlete jogs from one end of a straight 80m track to the other:a) What is your one-way displacement?b) What is your return displacement? (taking negative direction back)c) What is its displacement in the total trot?d) What is your one-way distance?e) What is your total trot distance?3. In a circular skating lane whose radius is 96 m, the skater begins to move from point Ato point B which is at the opposite end. Consider the path to be a semicirclea) What is its displacement?b) What is the distance traveled?