Challenge Question (This is supposed to be hard, think critically and take it one step at a time):

I am driving a car to a science lecture. The total distance from my house to the lecture is 75 miles. I get

halfway there before I must stop for gas. After filling up I realize I only have 15 minutes, before the

lecture starts (I know, bad planning on my part). How fast must I drive to be on time to the lecture?

Since it is a science lecture, report your answer in meters per second!!!

|

Answers

Answer 1

Answer:

You must travel at an average speed of 67.06 m/s to be on time to the lecture.

Explanation:

From the question, the total distance from your house to the science lecture is 75 miles.

Also, you get halfway there before you stop for a gas, that is, you have covered half of 75 miles, which 37.5 miles and you also have to cover 37.5 miles to get to the science lecture.

After filling up, you only have 15  minutes before the lecture starts,

To determine how fast you must drive to be on time to the lecture,

we will determine the average speed you need to travel.

From

Average speed = Distance / Time

Distance = 37.5 miles (Convert to meters)

(NOTE: 1 mile = 1609.344 meters)

Hence, 37.5 miles = 37.5 × 1609.344 miles = 60350.4 meters

∴ Distance = 60350.4 meters

Time = 15 minutes (Convert to seconds)

(NOTE: 1 minute = 60 seconds)

Hence, 15 minutes = 15 × 60 seconds = 900 seconds

Now, from

Average speed = Distance / Time

Average speed = 60350.4 m / 900 s

Average speed = 67.06 m/s

Hence, you must travel at an average speed of 67.06 m/s to be on time to the lecture.


Related Questions

Street light in many communities are sodium vapor lamps. These lamps visually have an orange-yellow tint. The visible emission spectrum for sodium shows that two prominent bands are detected within the visible color change. These light waves are both yellow and have wavelengths of about 590nm. This explains why the light produced from sodium vapor lamps would appear yellow and not white. in comparison, mercury vapor lamps produce a blue-colored light due to intense light emission from the mercury atoms that have a wavelength of about 434nm. Without any calculation, which element would you expect to produce higher energy photons in the visible part of spectrum?

Answers

Answer:

Mercury light

Explanation:

The energy of a photon of light is inversely proportional to it's wavelength.

Therefore, as the wavelength increases, the energy decreases likewise.

This implies that the Mercury light having a lesser wavelength will possess more energy.

a 12000.0-kg car is traveling at 19 m/s. the driver suddenly slams on the brakes and skids to a stop. The coefficient of kinetic friction between the tires and the road is 0.80. for what length of time is the car skidding?

Answers

What I don’t get it ?

The flu _____.

is caused by bacteria
is noncommunicable
can be prevented by practicing good hygiene
was discovered by Edward Jenner during the 1700s

Answers

can be prevented by practicing good hygiene

Answer:

b and d is wrong because if you sneezing and cough or other things like wiping your nose on your hand and touching things that other people touch can make people have the flu while you have it and edward jenner discovered cowpox and smallpox, not the flu

Explanation:

Blood is 92% water. Blood is
drawn using a capillary tube.
Write 1 sentence explaining how it
illustrates this characteristic of
water. Use the terms adhesion
and capillary action.

Answers

Answer:

Plasma, which constitutes 55% of blood fluid, is mostly water (92% by volume), and contains proteins, glucose, mineral ions, hormones, carbon dioxide (plasma being the main medium for excretory product transportation), and blood cells themselves.

Explanation:

Capillary motion is crucial for circulating water. Your body's cells would not hydrate without this flow, and crucial communication between your brain and body would slack off, hence blood contains water 92% water helps in capillary action.

What is Capillary action?

Capillary action, also known as capillary effect or motion, is the process by which liquid moves through constricted areas without the aid of external forces like gravity but rather with the help of intermolecular forces that exist between the liquid and solid surface (s).

Adhesion: The attraction of two different molecules, such as the hydrogen and oxygen molecules found in water and plastic drinking straws.

Proteins, glucose, mineral ions, hormones, carbon dioxide (plasma is the principal medium for excretory product transfer), and blood cells themselves are contained in plasma, which makes up 55% of blood fluid. Plasma is mostly water (92% by volume) and contains water as well as several other substances.

Therefore, the water contains in the blood helps in capillary action.

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King crimson vs DIO? for science of course. and for an essay

Answers

Answer:

king crimson

Explanation:

bc

Explanation:

It could go either way.

King crimsons ability is to see into the future and erase something, changing the outcome, while The Worlds ability is to Stop time. I believe DIO would beat Diavolo,but thats if certain requirements are met.Like, the fight being at night, but if Diavolo got a good combo of attacks on DIO, theres a high chance he would kill DIO, but DIO could end the fight in seconds by stopping time and killing him in his Stopped time, or his World, hope this helped

1. Name three branches of
science.

Answers

Answer:

Biology

Physics

Chemistry

Explanation:

Biology (life like cells, human reproduction, etc.)

Physics (Studies forces, like gravity.)

Chemistry (studies the atoms, the elements, etc.)

A battery is used to charge a parallel-plate capacitor, after which it is disconnected. Then the plates are pulled apart to twice their original separation. This process will double the: __________A. capacitance
B. surface charge density on each plate
C. stored energy
D. electricfield between the two places
E. charge on each plate"

Answers

Answer: C.

Explanation:

For a parallel-plate capacitor where the distance between the plates is d.

The capacitance is:

C = e*A/d

You can see that the distance is in the denominator, then if we double the distance, the capacitance halves.

Now, the stored energy can be written as:

E = (1/2)*Q^2/C

Now you can see that in this case, the capacitance is in the denominator, then we can rewrite this as:

E = (1/2)*Q^2*d/(e*A)

e is a constant, A is the area of the plates, that is also constant, and Q is the charge, that can not change because the capacitor is disconnected.

Then we can define:

K = (1/2)*Q^2/(e*A)

And now we can write the energy as:

E = K*d

Then the energy is proportional to the distance between the plates, this means that if we double the distance, we also double the energy.

If the plates are pulled apart to twice their original separation, then this will double the stored energy. Hence, option (C) is correct.

The given problem is based on the concept of parallel plat capacitor. For a parallel-plate capacitor where the distance between the plates is d.

The capacitance is:

C = e*A/d

here.

e is the permittivity of free space.

Since, the distance is inversely proportional then if we double the distance, the capacitance halves.  Now, the stored energy can be given as,

E = (1/2)*Q^2/C

here,

Q is the charge stored in the capacitor.

Now you can see that in this case, the capacitance is in the denominator, then we can rewrite this as:

E = (1/2)*Q^2*d/(e*A)

e is a constant, A is the area of the plates, that is also constant, and Q is the charge, that can not change because the capacitor is disconnected.

Then we can define:

K = (1/2)*Q^2/(e*A)

And now we can write the energy as:

E = K*d

So, the energy is proportional to the distance between the plates.

Thus, we can conclude that if the plates are pulled apart to twice their original separation, then this will double the stored energy. Hence, option (C) is correct.

Learn more about the energy stored in a capacitor here:

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A particle with mass 1.81*10^-3kg and a charge of 1.22*10^-8C has, at a given instant, a velocity v= (3.0*10^4 m/s)j.
A) What is the magnitude of the particle's acceleration produced by a uniform magnetic field B = (1.63T)i^+(0.980T)j^?
B) What is the direction of the particles acceleration? Please show steps so I can follow.

Answers

Answer:

a = -0.33 m/s² k^

Direction: negative

Explanation:

From Newton's law of motion, we know that;

F = ma

Now, from magnetic fields, we know that;. F = qVB

Thus;

ma = qVB

Where;

m is mass

a is acceleration

q is charge

V is velocity

B is magnetic field

We are given;

m = 1.81 × 10^(−3) kg

q = 1.22 × 10 ^(−8) C

V = (3.00 × 10⁴ m/s) ȷ^.

B = (1.63T) ı^ + (0.980T) ȷ^

Thus, since we are looking for acceleration, from, ma = qVB; let's make a the subject;

a = qVB/m

a = [(1.22 × 10 ^(−8)) × (3.00 × 10⁴)ȷ^ × ((1.63T) ı^ + (0.980T) ȷ^)]/(1.81 × 10^(−3))

From vector multiplication, ȷ^ × ȷ^ = 0 and ȷ^ × i^ = -k^

Thus;

a = -0.33 m/s² k^

A loop of area 0.250 m^2 is in a uniform 0.020 0-T magnetic field. If the flux through the loop is 3.83 × 10-3T· m2, what angle does the normal to the plane of the loop make with the direction of the magnetic field?

Answers

Answer:

40.0⁰

Explanation:

The formula for calculating the magnetic flux is expressed as:

[tex]\phi = BAcos\theta[/tex] where:

[tex]\phi[/tex] is the magnetic flux

B is the magnetic field

A is the cross sectional area

[tex]\theta[/tex] is the angle that the normal to the plane of the loop make with the direction of the magnetic field.

Given

A = 0.250m²

B = 0.020T

[tex]\phi[/tex] = 3.83 × 10⁻³T· m²

3.83 × 10⁻³ = 0.020*0.250cosθ

3.83 × 10⁻³ = 0.005cosθ

cosθ = 0.00383/0.005

cosθ = 0.766

θ = cos⁻¹0.766

θ = 40.0⁰

Hence the angle normal to the plane of the loop make with the direction of the magnetic field is 40.0⁰

Cells make proteins on small structures called vesicles.

True
False

Answers

it is true cells make protein on small structures called vesicles

The statement about making of protein on small structure by cell is True.

Vesicles can be regarded as small, fluid-filled sacs which its appearance can be seen on our skin. Transport vesicles is the vesicle that helps in transportation of materials from one part of the cell to other. this material could be proteins as well as  other molecules.When protein is been made by a cell , then the transporter vesicles will then be responsible for the movement of this   proteins to the Golgi apparatus, where actions like sorting and refining will be performed.With the help of vesicle pressure in the cell can be regulatedThe fluid that is contained inside these sacs is usually clear, and sometimes it could be white or yellow with blood.The diameter of a Vesicles are about 5 to 10 millimeters.

Therefore, vesicles helps in movement of molecules.

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It takes a minimum distance of 48.96 m to stop a car moving at 12.0 m/s by applying the brakes (without locking the wheels). Assume that the same frictional forces apply and find the minimum stopping distance when the car is moving at 25.0 m/s.

Answers

Answer:

102 m

Explanation:

Given that It takes a minimum distance of 48.96 m to stop a car moving at 12.0 m/s by applying the brakes (without locking the wheels). Assume that the same frictional forces apply and find the minimum stopping distance when the car is moving at 25.0 m/s.

Let the stopping distance be equal to S.

According to the definition of speed,

Speed = distance / time.

make time the subject of the formula

Time = distance / speed

then, the equivalent time is:

48.96 / 12 = S / 25

Cross multiply

12S = 48.96 x 25

12S = 1224

S = 1224 / 12

S = 102 m

Therefore, the stopping distance is 102 m

A motor in a radio control car uses 7.2 volts and draws 14.4 Amps of electricity. What is the resistance of the motor?

Answers

Answer :

0.5 Ω

Explanation:

The following data were obtained from the question:

Voltage (V) = 7.2 V

Current (I) = 14.4 A

Resistance (R) =..?

The resistance of the motor can be obtained by applying the ohm's law equation as shown below:

V = IR

7.2 = 14.4 × R

Divide both side by 14.4

R = 7.2/14.4

R = 0.5 Ω

Therefore, the resistance is 0.5 Ω

Answer:

Answer :

0.5 Ω

Explanation:

The following data were obtained from the question:

Voltage (V) = 7.2 V

Current (I) = 14.4 A

Resistance (R) =..?

The resistance of the motor can be obtained by applying the ohm's law equation as shown below:

V = IR

7.2 = 14.4 × R

Divide both side by 14.4

R = 7.2/14.4

R = 0.5 Ω

Therefore, the resistance is 0.5 Ω

When adding the components of a vector, the resultant magnitude is always the sum of the two component magnitudes.
True or false?

Answers

Answer:False

Explanation:

Answer:

False

Explanation:

A force is applied to a block sliding along a surface (Figure 2). The magnitude of the force is 15 N, and the horizontal component of the force is 4.5 N. At what angle (in degrees) above the horizontal is the force directed?

Answers

Answer:

Fy = 14.3 [N]

Explanation:

To be able to solve this problem we must know that the force is a vector and has magnitude and direction, therefore it can be decomposed into the force in the X & y components:

When we have the components on the horizontal and vertical axes we must use the Pythagorean theorem.

[tex]F = \sqrt{F_{x}^{2} +F_{y}^{2} }[/tex]

where:

F = 15 [N]

Fx = horizontal component = 4.5 [N]

Fy = vertical component [N]

[tex]15=\sqrt{4.5^{2}+F_{y}^{2}}\\ 15^{2}= (\sqrt{4.5^{2}+F_{y}^{2}})^{2} \\225 = 4.5^{2}+F_{y} ^{2}\\ F_{y}^{2} =225 -4.5^{2}\\ F_{y}^{2}=204.75\\F_{y}=\sqrt{204.75}\\ F_{y}=14.3 [N][/tex]


Weight of a body becomes greater at the pole than that at the equator . why ?

Answers

Answer:

Because the Earth rotates it is wider around at the equator than around the pole.
The distance from the Pole to the centre is smaller than the distance from the equator to the centre of the Earth. The weight decreases the further away from the centre of the Earth.

50 pounds is equal to 22,700 grams. How many pounds does this backpack full of gold weigh? Would you be able to carry out that backpack filled with gold?

Answers

The question is incomplete. Here is the complete question.

7) A standard backpack is approximately 30cm x 30cm x 40cm. Suppose you find a hoard of pure gold (density = 19.3 g/cm³) while treasure hunting in the wilderness. How much mass would your backpack hold if you filled it with gold?

8) 50 pounds is equal to 22,700 grams. How many pounds does this backpack full of gold weigh? Would you be able to carry out that backpack filled with gold?

Answer: 7) m = 694,800g

              8) It wieghts 1530.4 lbf

Explanation:

7) Volume of the backpack will be

V = 30 x 30 x 40

V = 36000 cm³

According to density of gold, each cm³ corresponds to 19.3g, then:

m = 19.3[tex]\frac{g}{cm^{3}}[/tex] * 36000cm³

m = 694800g

If I filled it with gold, the backpack will hold 694800g or 694.8kg.

8) 50 pounds is equal to 22700g. Then:

50 pound = 22700g

W = 694800g

W = [tex]\frac{694800.50}{22700}[/tex]

W = 1530.4 lbf

The backpack, in pounds, will weigh 1530.4lbf, which is very heavy to be supported by a human body.

The word acid comes from the Latin word

Answers

Hi :)

The word acid comes from the Latin word acere, which means sour

Hope this helps!
It is acere but for future reference you can search of definition press more and google tells you its origin

g A cylinder of mass m is free to slide in a vertical tube. The kinetic friction force between the cylinder and the walls of the tube has magnitude f. You attach the upper end of a lightweight vertical spring of force constant k to the cap at the top of the tube, and attach the lower end of the spring to the top of the cylinder. Initially the cylinder is at rest and the spring is relaxed. You then release the cylinder. What vertical distance will the cylinder descend before it comes momentarily to rest

Answers

Answer:

The vertical distance is  [tex]d = \frac{2}{k} *[mg + f][/tex]

Explanation:

From the question we are told that

   The mass of the cylinder is  m

    The kinetic frictional force is  f

Generally from the work energy theorem

    [tex]E  =  P +  W_f[/tex]

Here E the the energy of the spring which is increasing and this is mathematically represented as

       [tex]E =  \frac{1}{2} * k  *  d^2[/tex]

Here k is the spring constant

        P is the potential energy of the cylinder which is mathematically represented as

     [tex]P  = mgd[/tex]

And

     [tex]W_f[/tex]  is the workdone by friction which is mathematically represented as

      [tex]W_f  =  f *  d[/tex]

So

    [tex] \frac{1}{2} * k  *  d^2 =  mgd +  f *  d [/tex]

=>    [tex] \frac{1}{2} * k  *  d^2 =  d[mg +  f    ][/tex]

=>  [tex] \frac{1}{2} * k  *  d =  [mg +  f    ][/tex]

=> [tex]d = \frac{2}{k} *[mg + f][/tex]

An alligator crawls 25\,\text m25m25, start text, m, end text to the left with an average velocity of -1.2\,\dfrac{\text m}{\text s}−1.2
s
m

minus, 1, point, 2, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction.

Answers

Answer:

21 s.

I hope this helps!

Answer:21s

Explanation:

The seasons of the year result from Earths movement, or____, around the sun.

Answers

Answer:

rotation

Explanation:

The seasons of the year result from Earths movement, or rotation around the sun. The answer for the blanks is rotation .

What is the earth's orbit?

The Earth orbits the Sun in a counterclockwise pattern above the Northern Hemisphere at an average distance of 149.60 million km.

The Earth revolves around its axis once every 24 hours and orbits the sun once every 365 days. The Earth's rotation on its axis, not its orbit around the sun, causes day and night.

The term 'one day' refers to the time it takes the Earth to rotate once on its axis, which includes both day and night.

A season is a division of the year that is based on variations in weather, ecology, and the number of daylight hours in a certain place.

Seasons on Earth are caused by Earth's orbit around the Sun and its axial tilt relative to the ecliptic plane.

The seasons of the year result from Earths movement, or rotation around the sun.

Hence, the answer for the blanks is rotation .

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A truck accelerates at a rate of 1 m/s2 for 10 seconds. At that time the truck continues traveling at a constant velocity for the next 20 seconds. The truck then begins to slow down at a rate of -1 m/s2 until it comes to rest. How far did the truck travel for the whole 40 seconds? Please show the equation and substitution for this.

Answers

Answer:

hi

Explanation:

7. A 1,500-N force is applied to a 1,000-kg car. What is the car's acceleration?

Answers

Answer:

1.5m/s^2

Explanation:

Answer:

1.5 m/s2. accerelation =force ÷mass

Describe the path of Earth if the Sun's gravity were to suddenly stop.

Answers

Answer:

The Earth is traveling around the sun with an orbital velocity of 30 kilometers per second. This is exactly the speed it needs to be going to counteract the force of gravity from the sun pulling it inward. If the sun were to suddenly disappear, Earth would travel in a perfectly straight line at 30 km/s

Explanation:

Please help with this science thank you

Answers

Answer:acbd

Explanation:

Help solve these two problems im having trouble trying to start these problems?​

Answers

Answer:

25.  Approximately 8.1 meters

26. North 1.31 km, and East 2.81 km

Explanation:

25.

Notice that the displacements: 6 meters east and 5.4 south create the legs of a right angle triangle. The hypotenuse of that triangle will be the distance (d) needed to cover in order to get the ball in the hole in one putt. That is:

[tex]d=\sqrt{6^2+5.4^2} =\sqrt{65.16} \approx 8.072\,\,\,m[/tex]

which can be rounded to 8.1 m.

26.

Notice that the 3.1 km at an angle of 25 degrees north of east, is the hypotenuse of a right angle triangle that has for legs the east and north components of that distance.

We can find the leg corresponding to the east displacement using the cosine function (that relates adjacent side with hypotenuse):

[tex]east\,\, comp=3.1 * cos(25^o)\approx 2.809\,\,km[/tex]

and we can calculate the north component using the sine function that relates the opposite side to the angle with the hypotenuse.

[tex]north\,\,component = 3.1 * sin(25^o) \approx 1.31 \,\,km[/tex]

A 6.13-g bullet is moving horizontally with a velocity of 361 m/s, where the sign indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1233 g, and its velocity is 0.741 m/s after the bullet passes through it. The mass of the second block is 1646 g. (a) What is the velocity of the second block after the bullet imbeds itself

Answers

Answer:

v₃ = 0.786 m/s

Explanation:

Here, we will use the law of conservation of momentum, which states the following:

Total Momentum of System Before Collision =

Total Momentum of System After Collision

m₁u₁ + m₂u₂ + m₃u₃ = m₁v₁ + m₂v₂ + m₃v₃

where,

m₁ = mass of bullet = 6.13 g = 0.00613 kg

m₂ = mass of 1st block = 1233 g = 1.233 kg

m₃ = mass of 2nd block = 1646 g = 1.646 kg

u₁ = speed of first bullet before collision = 361 m/s

u₂ = speed of first block before collision = 0 m/s

u₃ = speed of 2nd block before collision = 0 m/s

v₁ = speed of bullet after collision

v₂ = speed of 1st block after collision = 0.741 m/s

v₃ = speed of 2nd block after collision = ?

Therefore,

(0.00613 kg)(361 m/s) + (1.233 kg)(0 m/s) + (1.646 kg)(0 m/s) = (0.00613 kg)(v₁) + (1.233 kg)(0.741 m/s) + (1.646 kg)(v₃)

2.2129 kg m/s + 0 kg m/s + 0 kg m/s - 0.9136 kg m/s = (0.00613 kg)(v₁) + (1.233 kg)(0.741 m/s) + (1.646 kg)(v₃)

1.2992 kg m/s = (0.00613 kg)(v₁) + (1.646 kg)(v₃)

since, the bullet is embedded in 2nd block after collision. Thus, there velocities will become same. (v₁ = v₃)

Therefore,

1.2992 kg m/s = (0.00613 kg)(v₃) + (1.646 kg)(v₃)

v₃ = (1.2992 kg m/s)/(1.6521 kg)

v₃ = 0.786 m/s

my heart strike him to dead.what figure of speech is that?​

Answers

Answer:

Hyperbole

Explanation:

this is an extreme exaggeration or overstatement/ magnification

One way to increase friction is to use (A.wax,B.sand,C.water ,D.oil

Answers

Answer:

using sand

Explanation:

We can increase friction by making rough surface.

Find the work done by a 75.0 kg person in climbing a 2.50 m flight of stairs at a constant speed.

Answers

Answer:

1,839.375 Joules

Explanation:

Work is said to be done is the force applied to an object cause the object to move through a distance.

Workdone = Force * Distance

Workdone = mass * acceleration due to gravity * distance

Given

Mass = 75.0kg

acceleration due to gravity = 9.81m/s²

distance = 2.50m

Substitute the given parameters into the formula:

Workdone = 75.0*9.81*2.50

Workdone = 1,839.375Joules

Hence the workdone is 1,839.375 Joules

A 0.75 m3 rigid tank initially contains air whose density is 1.18 kg/m3. The tank is connected to a high-pressure supply link through a valve. The valve is opened, and air is allowed to enter the tank until the density in the tank rises to 4.95 kg/m3. Determine, in kg, the mass of air that has entered the tank..

Answers

Answer:

2.83kg

Explanation:

Answer:

2.83kg

Explanation:

Given

initial density = 1.18 kg/m3

Final density in the tank = 4.95 kg/m3.

Let us write the mass balance first.

Change in the mass of the system=mass of the air entering the system - Mass of air out the system

Mass that entered= M2 - M1

But DENSITY= MASS/ VOLUME

Mass= volume × Density

We can expressed the mass in terms of density since density is given in the question.

Mass that entered= (volume × density)2 - ( volume × density)1

= (V ρ)2 - (V ρ)1

But V1= V2 the volume remains the same

= ( ρ2 - ρ1)v

= (4.95 kg/m3 - 1.18 kg/m3) 0.75 m3

= 3.77× 0.75

= 2.8275kg

Mass that entered= 2.83kg

therefore, mass of air that has entered the tank= 2.83kg

Other Questions
Which area was ruled by the Safavids? Please help me, good explanation = brainliest what is the slope of the line that passes through (37, -9) and (36, 81) why do people need government at all? The centralized computer technology department of Hardy Company has expenses of $320,000. The department has provided a total of 4,000 hours of service for the period. The Retail Division has used 2,750 hours of computer technology service during the period, and the Commercial Division has used 1,250 hours of computer technology service. Use the following data: Retail Division Commercial Division Sales $2,150,000 $1,200,000 Cost of goods sold 1,300,000 800,000 Selling expenses 150,000 175,000 Required: Determine the divisional income from operations for the Retail Division and the Commercial Division. Refer to the Amount Descriptions list provided for the exact wording of the answer choices for text entries. What are some examples of opportunities of African American migration A morpheme isGroup of answer choicesa word or the smallest part of a word that has meaning.a word part at the end of a word.a word part at the beginning of a word.a word part at in the middle of a word. What does the kinetic theory explain?Heat is due to temperature.Heat is due to potential energy.Heat is due to the motion of molecules.Heat is due to Pascals principle. Loyalists were colonists that supported Great Britain. Patriots were colonists that did not support Great Britain. How would a loyalist view the Boston Massacre? How would a patriot? As a massacre or self-defense How do i simplify the expression 6(x+2)-4 Solve equation. X^2-4x-12 = 0 6> z(10-z) Which number is a solution of the inequality? If x2 = 10, what is the value of x? United Airlines' flights from Boston to Dallas are on time 80 % of the time. Suppose 7 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 3 flights are on time is A cement manufacturer has supplied the following data: Tons of cement produced and sold 240,000 Sales revenue $1,008,000 Variable manufacturing expense $439,000 Fixed manufacturing expense $236,000 Variable selling and administrative expense $41,000 Fixed selling and administrative expense $226,000 Net operating income $66,000 What is the company's unit contribution margin? a. $4.20 per unit.b. $0.22 per unit.c. $2.20 per unit.d. $2.00 per unit. Which line will be run?A. The first lineB. The secondline// 10 - 8 + 318 + 7 + 365C. BothD. Neither Craig Kiel burger Reflects on Working Toward Peace by Craig Kiel burgerRead the personal essay Craig Kiel burger Reflects on Working Toward Peace by Craig Kiel burger. Then, reread the lines indicated with each question below. Answer each question, citing text evidence.1. Lines 16: How do you know the essay is written using first-person point of view? What language does the author use that sounds informal and conversational? The essay written using first person point of view and the language that the author use the sound informal and conversational is2. Lines 1531: Summarize the issues that galvanized Kiel burger to start Free the Children.3.4. Lines 3648: Which statements have a strong emotional impact? Explain what they tell about Kiel burgers values.5. Lines 5977: How can you identify how the author feels about the experience he had with Jos and a group of street children in Brazil?6. Photograph: From the image what can you tell about Craig Kiel burgers appearance and personality? Describe what the image tells you about what Kiel burger is doing.7. Lines 94107: Explain how Kiel burger learned an important lesson from his experiences with Jos in Brazil. Kiel burger learned in a important lesson from experience with Jose In Brazil is8. Lines 116130: What elements of storytelling, facts, and wisdom are in these lines?9. Lines 131137: In lines 131133, note the authors opinion that God gave each and every person special talents or gifts, but he made no one gifted in all areas. What do lines 134137 reveal about the authors perspective?10. Lines 138145: What details reveal the authors tone? Explain the tone. Will mark you brainliest!!!!Its basically asking to write the missing numbers by looking for the pattern to describe how the tenth and hundredths change Sarah uses long division to convert a rational number p/q to a decimal. Which of the following statements cannot be true?A. The decimal form of p/q terminated with a zero in the tenths placeB. The decimal form of p/q eventually repeatsC. The decimal form of p/q never terminates or repeatsD. The decimal form of p/q is 0 an object is traveling with a velocity of 3.05 m/s. the object then accelerates at 2.82 m/s^2 over a displacement of 18.4m. what is the final velocity? answer choices - 2.82m/s, 113.1m/s, 54.9m/s, 10.6m/s