how large a net force is required to accelerate a 1200-kg suv from rest to a speed of 25 m/s in a distance of 200 m?

Answers

Answer 1

A 1200 kg SUV will take 1875.6 N of net force to accelerate it across 200 meters at 25 m/s from a standstill.

Where:

a = acceleration (m/s²)

v = final velocity (m/s)

u = initial velocity (m/s)

s = distance (m)

v² - u² = 2as

a = v² - u²/2s

a = 25² - 0²/2(200)

a = 625/400

a = 1.563m/s²

Since a = 1.563m/s²

F = 1200 × 1.563

F = 1875.6N

Therefore, a 1200 kg SUV will need to accelerate with a net force of 1875.6 N over a 200 m distance to reach a speed of 25 m/s.

In mechanics, a force is any action that has the potential to change, maintain, or deform a body's motion. The three principles of motion outlined by Isaac Newton in his Principia Mathematica are frequently used to illustrate the concept of force (1687). Newton's first law states that a body at rest or moving uniformly in a straight line will stay in that state until a force is applied to it. According to the second law, a body will accelerate (change in velocity) in the direction of any external force acting on it. The amount of acceleration is directly related to the amount of external force.

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Related Questions

Lab Report( 80 )
Energy
It’s time to complete your Lab Report. Save the lab to your computer with the correct unit number, lab name, and your name at the end of the file name (e.g., U1_ Lab_Energy_Alice_Jones.doc).
Introduction
1. What was the purpose of the experiment?
Type your answer here:
2. What were the independent, dependent, and control variables in your investigation? Describe the variables for the first part of the experiment.
Type your answer here:
Experimental Methods
1. What tools did you use to collect your data?
Type your answer here:
2. Describe the procedure that you followed to collect the data for the first part of the experiment.
Type your answer here:
Data and Observations
1. Record your observations in the data table.
Type your answer here:
Table 1. Measurements Taken from a Simulation of a [insert mass value] kg Ball Released from Various Heights on a Ramp
Mass of ball (kg) Drop height on ramp (m) Potential energy (J) Time to travel 1.0 m (s) Speed (m/s) Kinetic energy (J)
0.5
1.0
1.5
2.0
2.5
3.0
Conclusions
1. What conclusions can you draw about how the amount of potential energy stored in a system changes as a ball is placed at varying heights on a ramp? Write an evidence-based claim.
Type your answer here:
2. Develop a model (diagram) that shows how different amounts of gravitational potential energy (GPE) are stored in the earth-ball system when the ball is raised to different heights on the ramp.
Type your answer here:
3. How did you use what you learned from the first part of the experiment to design a marble run?
Type your answer here:
Pls answers all of these questions quickly

Answers

Answer:

Is this a research paper?

for a particular process q = 20 kj and w = 15 kj. which of the following statements is true?

Answers

For a particular process q=-17 kJ and w=21 kJ. The following statements are true:

(a) Heat flows from the system to the surroundings

(d) The process is exothermic

E=q+w, where q is the amount of heat flowing into or out of the system, is the first law of thermodynamics.

Heat enters the system when q is positive, and heat exits the system when q is negative.

Workflow into or out of the system,

Work is done on the system when w is positive, and the system performs work when w is negative.

E is the system's overall internal energy change.

Q+W = 17 kJ + 21 kJ = + 4 kJ

As a result, the statement in (c) is correct.

Since q is negative in this case at -17 kJ, the process is exothermic, releasing heat from the system generally into the environment.

Thus, the assertion in (d) is true.

As q has a negative value, this indicates that heat is transferred from the system into the environment.

Therefore, the assertion in (a) is true.

Now that w is a positive number, the system is receiving work. Therefore, the assertion in (b) is false.

Since statement b. is untrue, statement e. is also false.

As a result, the assertion in (e) is false.

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The complete question should be:

For a particular process q=-17 kJ and w=21 kJ. Which of the following statements is true?

Heat flows from the system to the surroundings

The system does work on the surroundings

E=+4 KJ

The process is exothermic

None of the above is true

is there evidence of the diffusion of starch molecules? if so, what evidence and in which direction did starch molecules diffuse?

Answers

Iodine molecules are small enough to pass freely through the membrane however, starch molecules are complex and too large to pass through the membrane. Initially, there was a higher concentration of iodine outside than inside the tube.

Thus iodine diffused into the tube with the starch. Iodine is able to pass through the membrane while starch is not. The Glucose-testing strips indicate that glucose has been able to pass out of the tubing and into the external fluid. Thus proving the tubing allows movement in both directions.

Iodine was able to diffuse across the membrane because it is small and hydrophobic and starch was not because it is too large The Dialysis tubing provides a semi-permeable membrane. Only allowing smaller molecules to pass through it. Iodine molecules are small enough to pass freely through the membrane, however, starch molecules are complex and too large to pass through the membrane.  

The iodine is a small molecule and can move from outside the tubing to inside it. To test whether iodine or starch has crossed the synthetic membrane, you will look for color change. A solution of iodine is tan and a solution of starch is milky white; when iodine and starch are together in the same solution, they react and the solution turns purple, dark blue, or black.

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Which of these events moves small pieces of rocks away from where they originally formed?

Answers

Answer: The answer should be Erosion

Explanation: Erosion removes and transports rock and soil. Additionally, it also moves sediment through water, ice, and wind.

The answer I got was erosion hope that helps!

two coins are released from the same height in an experiment. the first is dropped vertically. the second slides down a frictionless track. which coin has the greatest speed when they reach the bottom?

Answers

Answer:

1/2 m v^2 = E        conservation of energy

Both will have the same speed.

v = (s2 - s1) / t     holds for both coins

The coin that slides down the frictionless track will take longer to reach the bottom - the speed for both at the bottom will be the same

A speaker fixed to a moving platform moves toward a wall, emitting a steady sound with a frequency of 225Hz . A person on the platform right next to the speaker detects the sound waves reflected off the wall and those emitted by the speaker.How fast should the platform move, vp, for the person to detect a beat frequency of 1.00Hz ?

Answers

The speed of the platform so that the person detects a beat frequency of 1.00 Hz is 5.286m/s.

The speaker moving towards the wall is emitting the sound of frequency of 115Hz and the platform right next to the speaker is detecting the sound reflected by the wall and emitted by the speaker.

Now, to find the speed of the platform so that the person here the beta frequency pf 1.00Hz, we will use the relation,

F = (c+v/c-v)f

c = Speed of waves in the medium

u = Speed of the receiver relative to the medium

v = Speed of the source relative to the medium

f = emitted frequency

Our values are given,

Beat frequency = 7Hz

Reflective Doppler frequency = 225+7=232Hz

Putting values,

232 =  (c+v/c-v)225

solving further,

v = 5.286 m/s.

So, the speed of the platform shoud be 5.286m/s.

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(a) is it possible for a path to also be a circuit? explain your reasoning. (b) is it possible for a path to also be a cycle? explain your reasoning.

Answers

(a). A circuit is just a path that ends and begins the same vertex, hence the yes answer. (b). In a graph, a route is a series of nearby sides who cross at the same vertices.

What does the word "circuit" mean?

In electronics, a circuit is a completely circular conduit through which electricity travels. A simple circuit comprises a current provider, conductors, and a demand. The term "circuit" refers generally to any ongoing path for the transmission of energy, information, or a signal.

Briefing:

(a). Any method of moving over the graph's edges is a route. There is no restriction on the beginning or ending vertices, edges, etc. A path is any feasible path that connects two vertices.

(b). In a cycle, the start and end vertices are the same. As a result, a route can be a cycle if its start and end vertices are similar and a cycle is established during traversal.

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on average, what percentage of our total energy output is attributable to the thermic effect of food (tef)?

Answers

The percentage of our total energy output is attributable to the thermic effect of food up to 10%.

Decreased thermic effects of food are observed differently in the elderly and may predispose them to fat gain. Increased energy expenditure is very important for weight loss efforts.

Types of vigorous activity that can boost your metabolism include brisk walking 2 miles or biking uphill. Total Energy Expenditure The amount of energy you expend per day includes not only the calories you expend during physical activity but also the calories expended at rest the calories expended when digesting food and heat generation.

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Calculate the acceleration of the car in stage A if it has a mass of 1200kg

stage A: 3000N

Answers

Answer:

2.5 m/s²

Explanation:

F = ma (Newton's 2nd Law)

a = F/m = 3,000 N /  1,200 kg = 2.5 m/s²

When you drop a 0.4 kg apple, Earth exerts a
force on it that accelerates it at 9.8 m/s
2
toward the earth’s surface. According to Newton’s third law, the apple must exert an equal
but opposite force on Earth.
If the mass of the earth 5.98 × 1024 kg, what
is the magnitude of the earth’s acceleration
toward the apple?
Answer in units of m/s

Answers

Answer:

Explanation:

a = ΣF/m

a = (0.4kg * 9.8m/s^2)/(5.98 * 10^24kg)

a = 6.56 * 10^-25 m/s^2

A 90 kg fullback is running at 5 m/s and is stopped by a tackler. The tackle lasts for 0.5 second.
a. What is the original momentum of the fullback?
b. What is the impulse imparted on the fullback?
c. What is the force exerted on the fullback?
d. What is the force exerted on the tackler?

Answers

A. The original momentum of the fullback is 450 Kg.m/s

B. The impulse imparted on the fullback is 450 Ns

C. The force exerted on the fullback is 900 N

D. The force exerted on the tackler is -900 N

A. How do I determine the original momentum?

The original momentum of the fullback can be obtained as follow:

Mass of fullback = 90 KgVelocity of fullback = 5 m/sMomentum of fullback =?

Momentum = mass × velocity

Momentum of fullback= 90 Kg × 5 m/s

Momentum of fullback = 450 Kg.m/s

B. How do I determine the impulse imparted?

The impulse imparted, can be obtained as shown below:

Mass (m) = 90 KgInitial velocity = 5 m/sFinal velocity = 0 m/sImpulse =?

Impulse = m(v + u) since the came to rest

Impulse = 90 × (0 + 5)

Impulse = 90 × 5

Impulse = 450 Ns

C. How to determine the force exerted on the fullback?

The force exerted on the fullback can be obtain as follow:

Impulse = 450 NsTime = 0.5Force (F) = ?

Impulse = force × time

450 = Force × 0.5

Divide both sides by 0.5

Force = 450 / 0.5

Force = 900 N

D. How to determine the force exerted on the tackler?

Force exerted on the fullback = 900 NForce exerted on the tactkler = 900 N

From Newton's 3rd law of motion which states that to every action, there is an equal an opposite reaction.

Since the force exerted on the fullback is 900 N. Thus, the force exerted on the tackler will be -900N

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A bungee jumper of 68 kg is attached to a bungee cord with an unstretched length of 20 m. He jumps off a bridge and when he finally stops, the cord has a stretched length of 50.0 m. Treat the stuntman as a point mass, and disregard the weight of the bungee cord. Assuming the spring constant of the bungee cord is 82.6 N/m, what is the total potential energy relative to the water when the man stops falling if the distance between the man and the water is 6m?​

Answers

Answer:

Below

Explanation:

The man will have Gravitational  POTENTIAL energy due to Earth's gravity of mgh

 mgh = 68 kg * 9.81 m/s^2 * 6m = 4002 J

The bungee has ELASTIC potential energy of 1/2 k x^2

  where x = stretch distance and k = spring constant

         = 1/2 (82.6 N/m) ( 50-20 m)^2 = 37170 J

Total = 4002 + 37170 = 41172 J

Can someone help me in this question?

Answers

Answer:

3×x for both .they did the same amount.

if c1 = 25µf, c2 = 20µf, c3 = 10µf, and ∆v0 = 21v , determine the energy stored by c2.

Answers

The energy stored by c2 is =0.00144478

As per the details share in the above question are as bellow,

The value of the capacitor is ,c1 = 25µf, c2 = 20µf, c3 = 10µf.

While the potential difference is ∆v0 = 21v.

We have to determine the energy stored by c2?

In order to accomplish labor and to produce heat and light, energy must be transmitted to a body or to a physical system. Energy is the quantitative attribute that does this.

When the capacitors are connected in parallel then,

Ceq'= c2+c3= 20+10=30

When the capacitors are connected in series then

Capacitors in series (1/Ceq)=(1/c1)+(1/ceq')= (1/25)+(1/30)

Ceq=13.63μF

Now Energy is equal to one by two into c into v square,

[tex]E=\frac{1}{2} CV^2[/tex]

Substitute the value in above equation we get,

Energy[tex]=\frac{1}{2} (13.63 \times 10^{-6})\times (212)[/tex]

E=0.00144478

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Note:- The correct question would be as follow,

if c1 = 25µf, c2 = 20µf, c3 = 10µf, and ∆v0 = 21v , determine the energy stored by c2.

if a particle undergoes shm with amplitude 0.11 m , what is the total distance it travels in one period? express your answer using two significant figures. s

Answers

The total distance it travels in one period is 0.44m

Distance is a numerical or every so often qualitative size of how some distance aside items or factors are. In physics, the distance may check with the physical duration or an estimation primarily based on other criteria.

The space between the two factors in the physical space is the period of an immediate line among them, that's the shortest feasible course.

It reduces the entire or a part of the arena to a small sheet of paper. At the same time of making a map, cartographers have to pay attention to properly constitute the distance between two locations.

Calculation:

amplitude = 0.11m

total distance (s) = 4 (amp)

4 × 0.11 = 0.44m

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a 200-n force is applied as shown to the bracket abc. determine the moment of the force about a

Answers

The moment of the force about A will be 14150.97 N-m Force = 200 N

A force's moment is determined by its magnitude and distance from the rotating axis. The moment of a force around a point measures the force's strength (the perpendicular distance of the line of action of the force from the point). The turning effect of a force is known as its moment. The moment of force, sometimes referred to as the torque. A moment must develop because of a force F, which prevents the line of action from passing through the location where the moment is to be taken. If the line of action does not travel through that location, the moment is zero since the magnitude of the moment arm is 0.

[tex]amp; \vec{F}=200\left(-\cos 30^{\circ} \hat{j}+\sin 30 \hat{k}\right) M \\& \vec{F}=200 \cdot\left(\frac{-\sqrt{3} \hat{\imath}+\hat{k}}{2}\right)=100(-\sqrt{3} \hat{\jmath}+\hat{k}) M \\& \overrightarrow{r_A}=-50 \hat{\jmath}, \quad \vec{r}_C=60 \hat{i}+25 \hat{1} \\& \Rightarrow \quad \vec{r}_{C A}=\vec{r}_e-\vec{r}_A=60 \hat{\imath}+755[/tex]

Moment of F about A -

[tex]amp; \vec{M}_A=\vec{\pi} A \times \vec{F}=(60 \hat{+}+75 \hat{1}) \times(100(-\sqrt{3} \gamma+\hat{k}) \\& \vec{M}_A=100\{-\sqrt{3} .60 \hat{k}-60 \hat{\imath}+0+75 \hat{\jmath}\}[/tex]

[tex]\vec{MA}=7500 i-6000 i-6000 \sqrt{3} \hat{N} N-m\\\\\mid \vec{MA}|_A=14150.97 N-m[/tex]

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how many km would you have to go above the surface of the earth to for your weight to decrease by half

Answers

When we go 19113 Km above the surface of earth, the weight of the person will become half.

The weight of the person is given by

W = Mg

Where,

M is mass of the person and g is the gravitational acceleration.

The gravitational acceleration of the earth varies with the height from the surface of the earth as,

g' = g(R/(R+H))²

Where,

R is the radius of earth,

g' is the gravitational acceleration at height H,

For g' = g/2,

g/2 = g(R/(R+H))²

1/√2 = (R/(R+H))²

Solving further,

H = 3R

So, when we go to a distance 3R above the surface of earth the weight of the person will become half.

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the larger player on the left and the smaller player on the right push against each other. who fees the greater force?

Answers

Answer:

The players feel equal force against one another.

Explanation:

This is known from Newton's Third Law of Motion which states that for every action/force there is an equal and opposite reaction/force. Therefore, even if one player is larger, the force exerted on each player from the other is the same.

what is the mass of the air in a room measuring sm x 2m x 3m? density of the air is 1.3kg/m³

Answers

Answer:

The mass of the air in a room can be calculated by multiplying the volume of the room by the density of the air. The volume of the room can be calculated by multiplying its length, width, and height. So, if the room has dimensions of 1m x 2m x 3m, its volume would be 1m x 2m x 3m = 6 cubic meters. If the density of the air in the room is 1.3kg/m³, the mass of the air in the room would be 6m³ x 1.3kg/m³ = 7.8kg.

An object is launched at a velocity of 20 m/s in a direction making at an angle of 25⁰ upward with the horizontal. Find

(a) The maximum height reached by the object.

(b) The magnitude of the velocity of the object before it hits the ground.

Answers

Answer:

below

Explanation:

Vertical position = vo t + 1/2 at ^2

    where vo = 20 sin25 =8.45       and    a = -9.81 m/s^2

         Vertical position =  - 4.905 t^2 + 8.45 t

                  max will occur at  t = -b/2a =  -8.45 / (2* -4.905) = .861 s

      Plug in this value to find vertical height

   vertical position =  8.45(.861) - 1/2 (9.81)(.861)^2  = 6.92 m

b)   magnitude when it comes down = magnitude when it went up = 20 m/s

A vehicle undergoes acceleration when it

Speeds up
Slow down
Change direction
All of the above

Answers

Answer:

ALL OF THE ABOVE

Explanation:

A vehicle undergoes acceleration when what three things happen?

it gains speed, decreases speed, and changes direction .

If there is acceleration, the velocity will change, either increasing or decreasing. The correct answer is D.

What is acceleration?

The rate of growth of velocity is defined as acceleration. Acceleration usually indicates that the speed is changing, but this is not always the case. When an object is in motion in a circular track at a steady speed, it is still going to accelerate because its velocity direction changes.

Newton's Second Law states that an object's acceleration is the net result of all force applied to it. Acceleration is measured in meters per second squared.

The formula is given as,

a = Δv / Δt

If acceleration exists, the change of the velocity will be there and it may be increasing or decreasing. Then the correct option is D.

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what is the effect on current through a circuit of steady resistance when the volatage and resistance is doubled?

Answers

When the voltage and resistance is doubled the current will remain constant.

The voltage and resistance are inversely correlated, and the current is directly proportional to both. Any change in voltage will have an equal and opposite effect on current. Therefore, doubling or tripling the voltage will result in doubling or tripling the current.We know that I = V/R where I = current V = voltage and R = resistance such that

Given voltage is doubled so v2 = 2V

and resistance is also doubled so R2= 2R

I2 = V2/R2 = 2V/2R = V/R = I

Hence I2 = I

Therefore the current will remain same when both voltage and resistance are doubled.

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a local am radio station broadcasts at an energy of kj/photon. () calculate the frequency at which it is broadcasting.

Answers

The frequency at which it is broadcasting is 875 KHz for a local am radio station broadcasts at an energy of kj/photon

Given,

Energy of a photon = 5.80 x 10-31 kJ x ( 1000 J / 1kJ) = 5.8 x 10-28 J

We know,

E = hv

Here,

"h" is the plank's constant = 6.626 x 10-34 J.s

v = frequency in Hz

Now, rearranging the formula,

v = E / h

Substituting the values,

v = 5.8 x 10-28 J / 6.626 x 10-34 J.s

v = 875340 s-1 or Hz

Now, converting Hz to kHz,

Given, 1kHz = 103 Hz

= 875340 Hz x ( 1 kHz / 103 Hz)

= 875.3 kHz

Frequency = 875 kHz [3S.F]

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a runner running the 100 m dash starts from rest and accelerates at a rate of 3 m/s^2 for 6.4s until reaching their maximum speed. they continue for the remainder of the race at the same speed. how long did it take them to complete the entire race

Answers

The runner takes 11.61 s to complete the entire race when they continue with same speed.

If the runner accelerated for 6.4 s, the velocity at which they accelerated will be:

Acceleration = velocity/time

3 = V/6.4

Making V the subject and by cross multiplying,

V = 3 × 6.4

V = 19.2 m/s

The runner maintains the speed through out the journey.

Speed = distance/time

Making time as the subject of formula,

Time = distance/speed

Time = 100 / 19.2

Time = 5.21 s

Therefore, a runner will complete the entire race in 6.4 + 5.21 = 11.61 s

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Describe the work done while you apply force on the box and after you let go

Answers

Explanation:

If you apply a force on a box and push it across a surface, you are doing work on the box. The amount of work done is equal to the force applied multiplied by the distance the box moves in the direction of the force. This means that if you apply a greater force or move the box a greater distance, you will do more work on the box.

Once you let go of the box, the work that you did on the box is no longer being applied, and the box will come to a stop unless there are other forces acting on it (such as gravity or friction). If the box is on a horizontal surface and there is no friction, it will not move at all after you let go, and the work you did on it will be completely converted into kinetic energy (the energy of motion). If the box is on a sloping surface or there is friction, the kinetic energy will be converted into other forms of energy, such as heat, and the box will slow down and eventually stop.

the force required to start an object sliding across a uniform horizontal surface is larger than the force required to keep the object sliding at a constant velocity. the magnitudes of the required forces are different in these situations because the force of kinetic friction

Answers

Answer: The force of kinetic friction is smaller than the maximum force of static friction due to the fact that the coefficient of kinetic friction is less than that of static friction.

A bicyclist traveling at 24 km/h squeezes the brakes and slows down to a stop in 2.5 seconds. Which of the following statements best describes what happened to the energy of the moving bicycle? A The kinetic energy was converted to thermal energy. B The chemical energy was converted to mechanical energy. C The kinetic energy was converted to chemical energy. D The chemical energy was converted to thermal energy.

Answers

Answer:

A The kinetic energy was converted to thermal energy

Explanation:

Friction braking is the most commonly used braking method in modern vehicles. It involves the conversion of kinetic energy to thermal energy by applying friction to the moving parts of a system. The friction force resists motion and in turn generates heat, eventually bringing the velocity to zero.

Answer:

The correct answer is A: The kinetic energy was converted to thermal energy.

When a bicyclist squeezes the brakes and slows down to a stop, the kinetic energy of the moving bicycle is converted to thermal energy. This is because the brakes on a bicycle work by converting the kinetic energy of the moving bike into heat energy through friction. When the brakes are applied, the brake pads clamp down on the brake rotor, which is attached to the wheel. The friction between the brake pads and the brake rotor slows the wheel down and converts the kinetic energy of the moving bicycle into heat energy. This heat energy can then be dissipated through the brake pads and the brake rotor, causing the bicycle to come to a stop.

Explanation:

calculate the synodic periods of venus and mars relative to earth. what are the implications of these periods for space missions to those planets?

Answers

21 and 7 years make up the Earth-Mars synodic period. The ecliptic plane is where the orbits of Earth, Mars, and the cycler trajectory are located.

What makes synodic periods significant?

Synodic times are significant because they frequently correspond to direct observables, but physical rotation periods do not. This significance was crucial for determining the planets' orbital periods throughout the history of astronomy.

What exactly is a synodic period?

Synodic period: The amount of time it takes for a body in the solar system, such as a planet, the Moon, or a man-made satellite to return to the same or nearly the same location with respect to the Sun as seen from the Earth.

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FILL IN THE BLANK. in a px orbital, the subscript x denotes the __________ of the electron.

Answers

In a px orbital, the subscript x denotes the axis along which the orbital is aligned of the electron.

'What is atomic orbital?'

The area closest to an atomic nucleus where an electron is most likely to be found is called an atomic orbital. An atom's orbitals can be classified as either s, p, d, or f orbitals. The Px, Py, and Pz orbitals are three of the p orbitals that exist.

The Px, Py, and Pz orbitals all have two lobes, but the Py orbital has two lobes directed along the y-axis, and the Pz orbital has two lobes oriented along the z-axis. This is the main distinction between the three orbitals. Because of how they are oriented in space, the Px Py and Pz orbitals differ from one another.

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if the frequency of ultrasound in increased from 0.77 mhz to 1.54 mhz, what happens to the propagation speed?

Answers

If the frequency of ultrasound in increased from 0.77 mhz to 1.54 mhz, the propagation speed is remains same.

Since these are not modifications to the characteristics of the medium, changing the frequency or amplitude of the waves will not alter their speed. In a particular medium, the speed of propagation is constant; only the wavelength varies as the frequency does. Your physical, emotional, and mental bodies feel lighter as your energy or vibration frequency rises. More inner strength, clarity, tranquility, love, and joy are felt by you. Your physical body experiences little or no pain or suffering, and you can manage your emotions with ease.

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Consider an arbitrary system which has a memory of size 2048 bytes and a cache size of 32 bytes. Consider, each cache block is of 2 words ( 1 word = 4 Bytes) and the system uses a direct-mapped cache. If the cache is initially empty, then a. indicate if the cache access results in hit or miss for each of the following addresses the processor generates in sequence: [25 Marks] You need to show all the steps required to derive your result. b. calculate the cache hit rate for the above address references. [2 Marks] Multiple choice math One of the methods forensic investigators use for estimating the age at death of a human, or the age of a living individual (for example for legal reasons or to verify identity) is based on measurement of the biochemical changes in amino acids within the teeth or bones. As bones and teeth age the ratio (R/L) of two amino acids, denoted simply as R and L, increases. The biochemical changes that occur over time in these amino acids follow an exponential law. The age t, in years, can be estimated from (R/L) using the equation t = b0 + b1*LN((1+R/L)/(1-R/L))^(), where LN denotes the natural logarithm (logarithm base e). This Excel file has data on the ratio (R/L) from the teeth of human subjects of known age. Question 1. Use the data to find the least squares intercept b0 and slope b1 in the equation t = b0 + b1*LN((1+R/L)/(1-R/L))^(). intercept b0 slope b1 Question 2. While tending to his flower garden, Sherlock Holmes discovers a body buried in his backyard. Forensic analysis yields the value 0.045 for the ratio (R/L). Use the least squares equation to estimate the age of Sherlock Holmes' surprise garden visitor. years Question 3. Calculate a 95% prediction interval for the age at death of Sherlock Holmes' surprise garden visitor. lower bound upper bound Question 4. Several years ago a man in Sherlock Holmes's neighborhood mysteriously disappeared. At the time of the disappearance the man was 35 years old. Do you think that this is the body of that man? No YesAge as a Function of R/LR/LLN[(1+(R/L))/(1-(R/L))]Age(yrs)0.0253140.026180.0314210.0302210.0343250.0327250.0317260.0312260.0342260.0338270.0325280.0334280.0334290.0333300.0362330.0359330.0401360.0375360.0398370.0424380.0424380.0404410.0489490.0498530.0518570.0526630.0588690.057969 A point has a positive x-coordinate and a positive y-coordinate. which quardrant is in it a shipment of 14 televisions sets contains 4 defective sets. a hotel purchases 8 of these televisions sets. what is the probability that the hotel receives at least one of the defective sets? Read the excerpt from Dr. Martin Luther King Jr's "I Have a Dream" speech.[1] I am happy to join with you today in what will go down in history as the greatest demonstration for freedom in the history of our nation.[2] Five score years ago, a great American, in whose symbolic shadow we stand today, signed the Emancipation Proclamation. This momentous decree came as a great beacon light of hope to millions of Negro slaves who had been seared in the flames of withering injustice. It came as a joyous daybreak to end the long night of their captivity.[3] But one hundred years later, the Negro still is not free; one hundred years later, the life of the Negro is still sadly crippled by the manacles of segregation and the chains of discrimination; one hundred years later, the Negro lives on a lonely island of poverty in the midst of a vast ocean of material prosperity; one hundred years later, the Negro is still languished in the corners of American society and finds himself in exile in his own land.Which phrase from the text provides the best context clue to determine the meaning of "captivity" in paragraph 2?Group of answer choicesJoyous daybreakOne hundred yearsStill not freeSadly crippled The table below shows the linear relationship between the distance in feet below sea level and the time in seconds traveled by a submarine.What is the rate of change (slope) of the distance in feet below sea level with respect to time that the submarine traveled? Place your answer in the box: in a fruit basket there are 120 fruits some are plums costing 2$ each and others are peaches costing 3$ each total cost of plims was 30$ more than the cost of peaches how many plums and how many peahces are there it is not possible to target fungal cytoplasmic membranes because fungi are eukaryotes, so medications affecting fungal membranes would also target human cell membranes. True or false . Identify the term that best describes the italicized word.LaKeisha was the only student (who knew which )book had been assigned.proper adjectiveO indefinite adjectiveO interrogative adjectiveO demonstrative adjective a norman window has the shape of a rectangle surmounted by a semicircle. (thus the diameter of the semicircle is equal to the width of the rectangle, labeled x.) a window with the shape of a rectangle surmounted by a semicircle. the diameter of the semicircle is equal to the width of the rectangle. the rectangle has width x. if the perimeter of the window is 32 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted. In 1972, E. Eisen et al. (Genetics 72:129-142) conducted experiments in which they continuously selected for increased 12-day litter weight in a population of mice. They observed that the litter weight steadily increased but leveled off after 17 generations. Eisen et al. then began reverse selection by selecting for decreased 12-day litter weight starting with one of the generation-17 families. This group began immediately to respond to selection as the weight dropped 4.8 g after one generation and 7.3 g after five generations. Based on the results of the reverse selection, what is the most likely explanation for the leveling off of 12-day litter weight in the original population? A. Genetic selection plateau B. Physiological selection plateau C. Transgressive segregation D. Overdominance E. Heterosis many partitional clustering algorithms that automatically determine the number of clusters claim that this is an advantage. list two situations in which this is not the case. g' 12 viruses frequently infect bacteria and insert new genes into the genetic material of the bacteria. when these infected bacteria reproduce asexually, which genes would most likely be passed on? select one: a. only the new genes b. both the original and the new genes c. neither the original nor the new genes d. only the original genes the spinoreticular, spinomesencephalic, and ____ tracts make up the anterolateral system.multiple choice question. bill is persuasive and adventurous. bella prefers working with objects. according to holland's six personality types, bill is and bella is . which of the following statements is false? group of answer choices if there are only two goods, guns and butter, it is possible to produce more of both goods through economic growth. if there are only two goods, guns and butter, it is possible to produce more of both goods if the economy is currently operating at a productive efficient point. if there are only two goods, guns and butter, it is possible to produce more of both goods if the economy is currently operating at a productive inefficient point. if there are only two goods, guns and butter, producing more of one means producing less of the other if the economy is currently operating at a productive efficient point. works to stop illegal drugs from enteringour countryA. IRSB. NASAC. DEAD. NSA g for the purposes of this analysis, assume that this is an accurate assessment of the costs/benefits involved (that is, you should assume that no additional costs or benefits will arise)(although keep in mind that the true costs of a particular course of action may not always be accurately identified and quantified.) when businesses engage in a cost/benefit analysis, they often take too narrow a view of the potential costs and benefits, particularly in thinking about the implications of the decision over time or in the long-term. while this is an important concern that you should consider when undertaking an ethical analysis, for these questions you should accept as fact that the above assessment of costs/benefits is a true reflection of the real costs/benefits to both the company and to society. refer to fact scenario a: question a1: using the standard cost-benefit analysis, the design change should not be made/implemented. 4(2x-1)+3(2x+15) what is the answer to this question