You are called to the crime scene immediately and you begin your investigation at 2 PM. The first thing you do is take the temperature of the body it is 84.4°F. You immediately walk over to the apartments thermostat and find that has been set at 68°F. The crime scene continues to be investigated wood samples taken and bagged. As everyone is finishing up, you take the temperature of the body again exactly 5 hours later and the temperature reads 79.6°F assume normal body temperature is 98.6°. What was the time of death? Use Newton’s Law if Cooling

Answers

Answer 1

As per Newton's law of cooling we know that

[tex]\frac{\Delta T}{dt} = k(T_avg - T_s)[/tex]

in 5 hours the body temperature becomes 79.6 from 84.4

while the surrounding temperature is given as 68 degree F

now from above formula

[tex]\frac{84.4 - 79.6}{5} = k (\frac{84.4 + 79.6}{2} - 68)[/tex]

[tex]0.96 = k(14)[/tex]

now let say the person died "t" time ago

now we will have

[tex]\frac{98.6 - 84.4}{t} = k (\frac{98.6 + 84.4}{2} - 68)[/tex]

[tex]\frac{14.2}{t} = k(23.5)[/tex]

[tex]\frac{14.2}{t} = \frac{0.96}{14}(23.5)[/tex]

[tex]t = 8.8 hours = 9hours (approx)[/tex]

so he died at approx 5 Am in  morning


Related Questions

How much time does it take a power drill accelerating at 64.3 rad/s2 to achieve 1500. rotations per minute(RPM)?

Answers

First of all, we need to convert the final angular velocity from rpm (revolutions per minute) to rad/s. Keeping in mind that
[tex]1 rev = 2\pi rad[/tex]
[tex]1 min = 60 s[/tex]
We have
[tex]\omega _f = 1500 \frac{rev}{min} \cdot \frac{2 \pi rad/rev}{60 s/m}=0.157 rad/s [/tex]

the angular acceleration is given by
[tex]\alpha = \frac{\omega _f - \omega _i}{\Delta t} [/tex]
where [tex]\omega _i[/tex] is the initial velocity (in this case, zero), and [tex]\Delta t[/tex] is the time needed to accelerate the drill to its final velocity. Using [tex]\alpha = 64.3 rad/s^2[/tex], we can calculate [tex]\Delta t[/tex]:
[tex]\Delta t = \frac{\omega _f}{\alpha}= \frac{0.157 rad/s}{64.3 rad/s^2}=2.44 s [/tex]

Match the situation with the energy transformation ITEMBANK: Move to Top A boy shooting a rubber band across the classroom A child going down a slide on a playground Rubbing your hands together to warm them on a cold day Turning on a battery operated light Using a dc electric motor Using a gas power heater to warm a room Using a hand crank generator to produce electric current Using the light in your room that is plugged into the wall Chemical potential energy transformed into radiant energy Gravitational potential energy transformed into kinetic energy Elastic potential energy transformed into kinetic energy Chemical potential energy transformed into thermal energy Electrical energy transformed into radiant energy Kinetic energy being transformed into thermal energy Electrical energy transformed into kinetic energy

Answers

A boy shooting a rubber band across the classroom --> 
Elastic potential energy transformed into kinetic energy 
The initial energy is the energy stored in the muscles of the boy's arm, which is elastic potential energy. This is converted into motion of the rubber, therefore kinetic energy

A child going down a slide on a playground --> Gravitational potential energy transformed into kinetic energy 
On top of the slide, all the energy of the child is gravitational potential energy due to its height with respect to the ground (E=mgh). when it moves down the slide, this is converted into kinetic energy, because the child acquires a speed v (E=1/2 mv^2)

Rubbing your hands together to warm them on a cold day --> Kinetic energy being transformed into thermal energy 
When rubbing hands, we are moving them (kinetic energy), and this energy raises the temperature of the hand's surface (thermal energy)

Turning on a battery operated light --> 
Chemical potential energy transformed into radiant energy 
A battery works by mean of chemical reactions (chemical potential energy), producing light (so, emitting energy by radiation, i.e. radiant energy)

Using a dc electric motor -->  Electrical energy transformed into kinetic energy
A dc electric motor works using  currents (so, electrical energy), and the energy produced can be used for example to accelerate a car (kinetic energy)

Using a gas power heater to warm a room --> Chemical potential energy transformed into thermal energy 
A gas power heater burns gases (so, chemical reaction, i.e. chemical potential energy) to raise the temperature of the room (thermal energy)

Using a hand crank generator to produce electric current --> Kinetic energy transformed into electrical energy
In a hand-crank generator, the handle is being rotated (kinetic energy) in order to produce an electric current (electrical energy)

Using the light in your room that is plugged into the wall --> Electrical energy transformed into radiant energy  
The lamp works by using electrical current flowing into a resistor (electrical energy) and it produces light, so it emits energy by electromagnetic radiation (radiant energy)




 


which of the following best describes a capacitor

Answers

it is a passive electronic that stores energy

Answer:

Two parallel metal plates that can store charge

Explanation:

The air in tires can support a car because gases __________.

Answers

because the air inside the tires is kept at high pressure.

In fact, the force applied by the tires upwards to counter-balance the weight of the car (pushing downwards) is 
[tex]F=pA[/tex]
where p is the pressure of the air inside the tires and A is the area of contact between the tire and the car. Therefore, a higher pressure means a larger force F, and eventually if the pressure p is higher enough the force F will be large enough to counterbalance the weight of the car.

What can cause the sea level to fall? ocean basins getting smaller or water being removed from the hydrological cycle ocean basins getting larger or water being removed from the hydrological cycle ocean basins getting larger or water returning to the hydrological cycle ocean basins getting smaller or water returning to the hydrological cycle

Answers

The  correct answer is 
a) ocean basins getting smaller or water being removed from the hydrological cycle. 
When ocean basins get smaller, there is less water in the oceans, and so the sea level falls down. Similarly, if water is removed from the hydrological cycle, there is less water going back to the oceans via precipitations (or coming from the land), therefore the sea level decreases.
ANSWER
ocean basins getting smaller or water being removed from the hydrological cycle

if a toaster produces 8 ohms of resistance in a 120 v circuit, what is the amount of current in the circuit

Answers

voltage (v) = current (i) × resistance (r)
i = v/r = 120/4 = 30 amps

If a car increases its speed from 20 mph to 60 mph, by what factor does the kinetic energy of the car increase

Answers

If a car increases its speed from 20 mph to 60 mph, then the kinetic energy of the car increases by a factor of 9.

What is Kinetic energy?

Kinetic energy is the energy which is present in the object which is under motion. Kinetic energy is a vector quantity due to the presence of both the magnitude and direction. The SI unit of kinetic energy is Joule.

KE = 1/2 × m × v²

where, KE = Kinetic energy,

m = mass of the object,

v = velocity of the object

KE₁ = 1/2m(20)²

KE₂ = 1/2m(60)²

Therefore, the factor by which the kinetic energy of the car can be increased can be calculated by taking ratio of the kinetic energy:

KE₁/ KE₂ = 1/2m(20)² / 1/2m(60)²

KE₁/ KE₂ = 400/ 3600

KE₁/ KE₂ = 1/9


Therefore, the factor by which the kinetic energy of car has been increased by 9.

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Which are states of matter? Check all that apply.
energy
gas
liquid
ion
plasma
solid

Answers

gas liquid plasma solid

Liquid, gas, solid and plasma are States of matter.

What is matter?

Matter is anything that have mass and occupied space usually getting it's mass from energy.

There are states of matter and they are;

Solid

Liquid

Gas

Plasma

A state of matter can be termed a physical property if it dies not change the chemical composition of the substance and is reversible.

A state of matter can be called chemical property if the chemical composition is change and it is irreversible.

For example water exist in three state of matter.

It is solid if it is ice, it is liquid if it is water and it is gaseous if it is water vapor.

Therefore, Liquid, gas, solid and plasma are States of matter.

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It took 1.5 hours for a bus to go from one city to the next the bus traveled at an average velocity of 52 mph, west how far apart were the two cities

Answers

Answer:

78 miles

Explanation:

The average velocity of the bus is given by:

[tex]v=\frac{d}{t}[/tex]

where

d is the displacement (the distance between the two cities)

t is the time taken

In this problem, we have

t = 1.5 h

v = 52 mph

So, we can solve the formula to find d, the distance between the cities:

[tex]d=vt=(52 mph)(1.5 h)=78 mi[/tex]

If planet i is 30.3 million miles farther from the sun than planet​ ii, then planet iii is 24.6 million miles farther from the sun than planet i. when the total of the distances for these three planets from the sun is 196.2 million​ miles, how far away from the sun is planet​ ii?

Answers

Since the total distance for all three of the planets is 196.2 million miles, you would add planet i and planet iii, then subtract that number from 196.2

planet i and planet iii equaled 54.9 million miles, that subtracted from 196.2 equals 141.3

So your answer is 141.3 million miles

12) Photosynthesis is a chemical reaction where carbon dioxide and water react to form glucose (C6H12O6) and oxygen gas. Which represents the proper balanced equations for photosynthesis?

Answers

Answer : The balanced chemical reaction will be,

[tex]6CO_2+6H_2O\overset{sunlight}\rightarrow C_6H_{12}O_6+6O_2[/tex]

Explanation:

Photosynthesis : It is a type of chemical reaction that occurs in the green plants or living organism.

During the photosynthesis process, the carbon dioxide reacts with water in the presence of sunlight to produce glucose and oxygen as a product.  

The balanced chemical reaction will be,

[tex]6CO_2+6H_2O\overset{sunlight}\rightarrow C_6H_{12}O_6+6O_2[/tex]

In the photosynthesis reaction, carbon dioxide and water molecule are the reactants and glucose and oxygen are the products.

Two billiard balls of equal mass undergo a perfectly elastic head-on collision. if the speed of ball 1 was initially 2.00 m/s, and that of ball 2 was 3.00 m/s in the opposite direction, what will be their speeds after the collision? ball 1

Answers

The collision is elastic, this means that both total momentum and total kinetic energy are conserved after the collision.

- Let's start with conservation of momentum:
[tex]p_i = p_f[/tex]
Let's take as positive direction the initial direction of ball 1. Let's label with m the mass of the balls (they have same mass), with [tex]v_1[/tex] the final speed of ball 1, with [tex]v_2[/tex] the final speed of ball 2. The initial velocity of ball 1 is 2 m/s, while the initial velocity of ball 2 is -3 m/s (with a negative sign, because it is going in the opposite direction of ball 1). The conservation of momentum becomes
[tex](2 m/s) m - (3m/s)m = mv_1 + mv_2[/tex]
From which we find
[tex]v_2 = -1 m/s -v_1[/tex]

- Let's now write conservation of kinetic energy:
[tex]K_i = K_f[/tex]
which becomes
[tex] \frac{1}{2} m (2m/s)^2 + \frac{1}{2}m(3m/s)^2 = \frac{1}{2}mv_1^2 + \frac{1}{2}mv_2^2 [/tex]
Substituting 
[tex]v_2 = -1 m/s -v_1[/tex]
as we found in the conservation of momentum, and simplifying, we get
[tex]v_1^2 + v_1 - 6m/s = 0[/tex]

which has two solutions:
[tex]v_1 = -3 m/s, v_2 =2m/s[/tex] (1)
[tex]v_1=2 m/s, v_2 = -3 m/s[/tex] (2)
The second solution is meaningless: in fact, the balls have exactly same velocity and direction as before the collision. This would mean they didn't collide at all, so we can neglect solution 2. And so, the solution of the problem is (1).

The final velocity of the first ball is 3 m/s and the final velocity of the second ball is 2 m/s in opposite direction.

The given parameters;

mass of the billiard balls = minitial speed of the first ball, u₁ = 2 m/sinitial speed of the ball u₂ = 3 m/s

Apply the principle of conservation linear momentum;

[tex]m_1u_1 \ + \ m_2u_2 = m_1v_1 + m_2v_2\\\\2m - 3m = mv_1 + mv_2\\\\-m = m(v_1 + v_2)\\\\-1 = v_1 + v_2[/tex]

Apply one-dimensional velocity;

[tex]u_1 +v_1 = u_2 + v_2\\\\2 + v_1 = -3 + v_2\\\\5 + v_1 = v_2[/tex]

From the first equation, the values of the final velocity is calculated as follows;

[tex]-1 = v_1 + 5 + v_1\\\\-1 = 2v_1 + 5\\\\-6 = 2v_1\\\\v_1 = -3 \ m/s[/tex]

then, v₂ = 5 - 3 = 2 m/s

Thus, the final velocity of the first ball is 3 m/s and the final velocity of the second ball is 2 m/s in opposite direction.

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metabolic processes depend on which factor listed below A.ice B.atospheric nitrogen C.fresh water D.phosphorus

Answers

The answer would be phosphorus

As surface area increases, weathering rate

Answers

A rock's exposure to the weathering elements and its surface area can affect its rateof weathering. Rocks that are constantly bombarded by running water, wind, and other erosion agents, will weather more quickly. Rocks that have a large surface areaexposed to these agents will also weather more quickly.

hope this helps some .-.

Which of these is most likely a step in the formation of soil? a. erosion of soil b. crystallization of rocks c. animals digging rocks d. solidification of organic matter

Answers

The answer is C. animals digging rocks

Which form of radiation is used to directly INCREASE the temperature of water in a nuclear reactor? A) neutrons Eliminate B) beta particles C) alpha particles D) gamma radiation

Answers

Hello!

The form of radiation that is used to directly INCREASE the temperature of water in a nuclear reactor is Gamma radiation. 

In a nuclear reactor, the nuclear fission produces gamma radiation, this kind of radiation is one of the most energetic and is composed of high-energy photons. When getting in contact with water, gamma radiation ionizes it, and that ionization will increase the kinetic energy of the molecules, increasing the temperature of water. 

Have a nice day!

Why is it important for scientists to replicate each other’s experiments?

Answers

It is very important for scientists to replicate each other experiment because this will help to determine if important scientific results are repeatable. The correct option is Scientific results presented by a scientist should be reproducible anywhere in the world, without this, the results can not be accepted as theory.

Answer:

A. To determine if the scientific results are repeatable

Explanation:

Jodie sets two objects on a flat surface. Object A has a mass of 50g, while object B has a mass of 250g. Jodie pushes both objects with the same force and watches them speed up. Which object will speed up more? A. They speed up the same amount. B. Object B speeds up more. C. Object A speeds up more. D. Neither object speeds up.

Answers

Object A speeds up more

how high a hill would a 75 kg hiker has to climb to increase her gravitational potential energy by 10000 j

Answers

Your answer would be 13.6 m

Answer:

[tex]13.60 \ m[/tex]

Explanation:

Given that,

Mass of the hiker is 75 kg

The gravitational potential energy by 10000 J

To solve :

The height of the hill.

Solve :

The gravitational potential energy of object , [tex]G=10000\ J[/tex].

Also, Mass of hiker, [tex]m=75 \ kg.[/tex]

Now,

The relation between Gravitational potential energy (G) and Mass of object (M) is given as:

[tex]G=m\times g \times h.[/tex]

Where , g is acceleration due to gravity, [tex]g=9.8\ m/s^2.[/tex].

Putting , values of G, g and m in above equation.

We get, [tex]10000=75\times 9.8 \times h\\\\h=\dfrac{10000}{75\times 9.8} \ m\\\\h=13.60\  m[/tex]

Hence , this is the required solution.

You use a pulley to lift your bike to the ceiling for winter storage. when you bought the pulley, the salesman claimed that the pulley has a mechanical advantage of 10. while lifting the bike, you notice that the pulley is squeaking because it has rusted over the summer. you determine that the pulley now has an actual mechanical advantage of 3. what is its efficiency?

Answers

AMA- actual machine advantage
IMA- ideal / theoretical machine advantage

Efficiency = AMA / IMA
                 =3 / 10
                 =0.3

3

(actually over the theoretical

Which ions are most abundant in a base?

Answers

The most abundant cation (or positively charged ion) in the extracellular fluid (ECF) is sodium (Na+). The most abundant anion (or negatively charged ion) in the ECF is chloride (Cl-). The most abundant cation in the intracellular fluid (ICF) is potassium (K+).

The hydroxide ions is the most abundant in a base. A base is regarded as a

substance which reacts with an acid to form a salt.

The base has a characteristic feature of having a pH between 7.1 to 14.0.

Strong bases have a pH of about 12-14 while weak bases have a pH of

between 7.1-9.

Bases have hydroxide ions which is responsible for the basic nature of the

substance while an acid has abundant hydrogen ions which is responsible

for its acidic nature.

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A photosensitive surface is illuminated with both blue and violet light. the light that will cause more electrons to be ejected is the

Answers

the correct answer is "they cause the same number of electrons to be ejected".

In fact, in the photoelectric effect, the number of photoelectrons emitted does not depend on the frequency of the light, but only on its intensity. The frequency of the light affects only the kinetic energy of the photoelectrons, because each photon carries an energy of
[tex]E=hf[/tex]
where h is the Plank constant and f is the frequency of the wave, and then this energy is converted into kinetic energy of the photoelectron. But the number of photoelectrons emitted depends only on the number of incoming photons, so it depends only on the intensity of the light. Therefore, violet and blue light cause the emission of the same number of photoelectrons.

a rigid tank of air is cooled (temperature decreased) the volume has to remain constant because it is a rigid tank the air pressure in the rigid tank ___

A. Increases
B. Decreases
C. Stays the same

20 points please help right away

Answers

If we consider Boyles law for gases, it states the following equation,
PV/T =k
where k is a constant
P-pressure, T- temperature and V -volume
the volume is constant at both situations as its a rigid tank as mentioned in the questions.
Therefore we consider Volume to be constant , then equation is
P/T = kV
kV = c (new constant)
P/T = c
P = cT
Therefore pressure is inversely proportional to temperature, whatever change in pressure would cause the same kind of change in temperature as well.
therefore when T decreases, P also decreases.
Answer is B

Electromagnetic waves can carry more data at higher frequencies. Why would a scientist opt to transmit data at a lower frequency instead?
What are the limitations of sending information using electromagnetic waves?
What are the differences between analog and digital signals?
What are the advantages of using digital signals over analog signals?
Using reliable internet sources, identify three ways we use analog and digital signals in our everyday lives.

Answers

Transmitting data over low frequency electromagnetic waves can reach great distances before attenuation because are not easily interfered with by obstacles like high frequency waves are. This is because they can diffract over obstacles and pass around them with less shadowing.

 


A disadvantage of using electromagnetic waves to transmit data is interference. One cause of interference is the transmission ton over same frequency hence the necessity to regulate these waves through policies. Other causes of interference are due to weather or obstacles.

 


Analogue signal is the decoding of electromagnetic waves into electric pulses (of varying amplitudes) by a decoder and pass the electric circuit in the electronics. However, in digital signal, electromagnetic waves are converted to binary format (0s and 1s). Therefore, analogue signal is a continous signal while digital is discretely broken down into bits.

 


Digital signal have the advantage of analogue signal over the fact that they can carry loads of information. Analogue signal draws more power than digital signal hence the later is eco-friendly. Digital signals are less likely to be affected by noise unlike analogue signals.

 


One major application for analogue signals is their use is speakers and microphones. Nonetheless, contemporarily, there are emerging digital microphones and speakers. A popular example of application of digital signal is in the mobile communication industry. The shift from analogue to digital has been greatly revolutionalized communication.

Answer:

Part One

1. Electromagnetic waves can carry more data at higher frequencies. Why would a scientist opt to transmit data at a lower frequency instead?

Higher frequencies of electromagnetic waves travel shorter distances but have higher data capacity. Scientists keep in mind that higher frequencies limit the range for sending information.

2. What are the limitations of sending information using electromagnetic waves?

Electromagnetic waves are sent through air signals, air signals are not private, so anybody in range can pick up the signal.

3. What are the differences between analog and digital signals?

Analog signals use more power, whereas digital signals use less. Analog signal value type is positive as well as negative, whereas digital signal is positive.

4. What are the advantages of using digital signals over analog signals?

The advantages of digital signals are better accuracy, less interference, and greater capacity for sending information.

The advantages of analog signals are strength and frequency change, and it travel in a continuous wave.

5. Using reliable internet sources, identify three ways we use analog and digital signals in our everyday lives.

Some examples of how we use analog and digital signals in our daily life is through phones and televisions. Phones use digital signals; they process our speech digitally and remove any unwanted sounds or echoes. Televisions use digital signals of video and audio processing to present them in a better version.

Part Two

1. Describe how radio telescopes are used to explore space.

Radio telescopes are used to detect radio waves in space.

2. How are radio waves used on Earth?

Radio telescopes are like televisions, right? So, using this information we then know that radio telescopes (television antenna) will detect radio waves that connect to satellite communication and that’s how we have television channels.

3. Why do radio telescopes convert radio waves (analog signals) to electrical (digital) signals for analysis? (Hint: What did the article say about the advantages of digital signals?)

The advantages of digital signals are better accuracy, less interference, and greater capacity for sending information.

Explanation:

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When a current flows through an ionic liquid such as salty water, the moving charges are?

Answers

positive and negative ions

In salty water ions are produced by the salt

here salt is NaCl

so it will break in Na⁺ and Cl⁻

They carry the current

Na⁺ moves towards cathode and Cl⁻ moves towards anode

So current is carrying by ions which are Na⁺ and Cl⁻

A blender takes in 180 J of electrical energy. Of the 180 J, 90 J are transformed into kinetic energy, 60 J are transformed into thermal energy, and the rest is transformed into sound.

Answers

Fa sho it's 30j edge said so

Based on the work done by the blender, the efficiency of the blender is 50%.

What is efficiency of a machine?

The efficiency of a machine is a measure of the amount of useful work done by the machine compared to the work input into the machine.

Efficiency = work output/work input × 100%

The useful work on a blender is the motion of the blender which is a form of kinetic energy.

The efficiency of the blender so then be:

work input = 180 J

work output = 90J

Efficiency = 90/180 × 00% = 50 %

Therefore, the efficiency of the blender is 50%.

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Two important economic activities in Norden are _____.

Answers

Fishing and Agriculture.

The Answer is:

Agriculture and Fishing

Which of the following are heterogeneous mixtures (not homogeneous mixtures)?

Check all that apply.

A. Blood
B. A smoothie
C. Milk that is sold at the store
D. A cake mix

Answers

The following are heterogeneous mixture: MILK THAT IS SOLD AT THE STORE, A CAKE MIX AND MIXED NUT.An heterogeneous mixture is one which contained many parts which can be separated out.A smoothie is an homogeneous mixture because the juice of different fruits that are use can not be separated out.
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Which of the following can influence one???s ability to detect stimuli and increase one???s responsiveness to stimuli in dangerous situations?
A.
stimuli criteria
B.
response criteria
C.
difference threshold
D.
detection threshold

Answer: B response criteria

Answers

The answer is B. Response Criteria
I hope this helps!!

The one that can influence ones ability to detect stimuli and increase responsiveness to stimuli in dangerous situations is response criteria. The correct option is B.

What is stimuli?

Stimulus is defined as any event or change in the external environment that causes a specific functional response in an organ or tissue.

The stimulus can be both internal and external. External stimuli such as sound and touch are detected by sense organs such as the ear and sensory receptors such as those in the skin.

A stimulus is an energy change (e.g., light or sound) that is registered by the senses (e.g., vision, hearing, taste, etc.) and serves as the foundation for perception in perceptual psychology.

A stimulus serves as the foundation for behavior in behavioral psychology (classical and operant conditioning).

Response criteria are those that can influence one's ability to detect stimuli and increase responsiveness to stimuli in dangerous situations.

Thus, the correct option is B.

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A driver speeds along a curved road and sees a fallen tree on the road. He applies the brakes but is unable to stop in time. When the car hits the tree, it slows down from 6 meters/second to 0 meters/second. What was the change in velocity during this time?

The change in velocity during the collision was _____ meters/second. need it fast

Answers

It's -6 meters/seconds.

The change in velocity is the difference of the final velocity and the initial velocity:

0 – 6 = -6 m/s.

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