Answer:
circumference of circle = 2 π R
S (distance traveled) = 3/4 * 2 π R
S = .75 * 2 * π 5 = 23.55 m
Determine the magnitude of the projection of f along line ac. express this component as a cartesian vector.
The magnitude of the projection of f along line ac. express this component as a cartesian vector.
General Guidance
This problem is based totally on the idea of role vector, projection of vectors and dot product.
function vector: role vector suggests the region of a factor in a vector space in terms of the unit vectors in distinct directions.
Dot Product: Dot product is used for representing vectors in scalar shape. it's also called as scalar product.
Projection of vectors-
The projection of a vector on every other vector is in reality understood as obtaining the shadow of the primary vector along the course of the second vector.
first of all, calculate the placement vector of the point C with regards to the point A. Use the expression for the projection of a vector to calculate the projection of vector.
The magnitude of the projected component of F along AC is
This component as a cartesian vector.
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How many 5-nucleotide dna sequences are possible?
a) 1024
b) 54
c) 16
d) 256
e) 64
1024 many 5-nucleotide dna sequences are possible
because its permutation and combination 5 !
Nucleotides are organic compounds made up of a phosphate and a nucleoside. They function as monomeric units of the key macromolecules found in all living forms on Earth, deoxyribonucleic acid (DNA), and ribonucleic acid (RNA), which are both nucleic acid polymers. In addition to being produced by the liver from common nutrients, nucleotides can also be received through diet.
A nucleobase, a five-carbon sugar (ribose or deoxyribose), and a phosphate group made up of one to three phosphates are the three component molecules that make up a nucleotide. Guanine, adenine, cytosine, and thymine are the four nucleobases found in DNA; uracil is used in place of thymine in RNA. These four nucleobases are necessary for a variety of cellular processes, such as the synthesis of amino acids, proteins, and cell membranes, as well as for moving the entire cell and its constituent parts.
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Progression is slowly increasing the demand placed on the body. true or false?
Yes, progression is slowly increasing the demand on the body and is necessary for development after a certain level has been achieved.
What is progression?The process of Progressing your exercise is changing exercise so that it becomes more challenging to your body. A change in exercise prescription could mean changing the intensity of exercise making it more intense and increasing the duration of your exercise.
What is overload principle?The overload principle states that the intensity with which an exercise is performed must be high enough above one's normal range for any desired physiological adaptation to occur.
The development of the muscles only take place after a certain level of stress beyond the usual capacity is applied on the muscles, causing the muscles of the body to stress and tear down.
With each tear in the muscles of the body the muscles gross strong as it heals.
This process is slow and required timely input making it sir in nature.
As body gets used to certain extend to the usual method of training the body's muscle development stops. Here comes the user of progression which involves intensifying the the usual method of exercise so that it becomes a challenge for the body to overcome.
Ultimately causing the development of strength in the muscles.
Hence, progression is slowly increasing the demand on the body and is necessary for development after a certain level has been achieved.
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earth is located at one of the moon's orbit.target 1 of 6 2. according to kepler's second law, jupiter will be traveling most slowly around the sun when at .target 2 of 6 3. earth orbits in the shape of a/an blankaround the sun.target 3 of 6 4. the mathematical form of kepler's third law measures the period in years and the blankin astronomical units (au).target 4 of 6 5. according to kepler's second law, pluto will be traveling fastest around the sun when at blank.target 5 of 6 6. the extent to which mars' orbit differs from a perfect circle is called its
1. Earth is located at one focus of the Moon's orbit.
2. According to kepler's second law, jupiter will be traveling most slowly around the sun's aphelion
3. Earth orbits in the shape of a/an ellipse around the sun.
4. The mathematical form of Kepler's third law measures the period in years and the semimajor axis in astronomical units (AU).
5. According to Kepler's second law, Pluto will be traveling fastest around the Sun when at perihelion.
6. The extent to which Mar's orbit differs from a perfect circle is eccentricity.
What is kepler's second and third law?
Kepler's second law is a mathematical principle that states the distance between two objects in space is proportional to the square of their timescale of revolution. This means that as two objects orbit around each other, the further they will be from each other over time.
Kepler's Third Law is a scientific law that states the amount of time it takes for planets to orbit their star is inversely proportional to their distance from the sun.
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Yes! All orbiting objects adhere to Kepler's Second Law and other rules as well. Pluto moves more quickly when it is nearer the sun and less quickly when it is distant from it, much like every other object in our solar system.
What is Kepler's law of planetary motion?In astronomy, Johannes Kepler's laws of planetary motion, which were written between 1609 and 1619, define the paths taken by planets as they round the Sun. The laws altered Nicolaus Copernicus' heliocentric theory, substituting elliptical trajectories for circular orbits and epicycles, thereby explaining the variation in planetary velocities. According to the three laws:
A planet's orbit is an ellipse with the Sun as one of its two foci.Equal areas are covered over equal times by a line segment connecting a planet and the Sun.The semi-major axis of an orbital system is related to the square of the planet's orbital period.To know more about Kepler's law, visit:
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7. Table 2.2 shows that the instantaneous speed
of an object dropped from rest is 10 m/s after
1 second of fall. Table 2.3 shows that the.
object has fallen only 5 meters during this
time. Your friend says this is incorrect,
because distance traveled equals speed times
time, so the object should fall 10 meters.
What do you say?
So you will tell your friend that the distance traveled by the object dropped is not equal to the product of speed and time since the object is also influenced by force of gravity.
Distance traveled by the object
The distance is traveled by the object is influenced by force of gravity and it can be calculated as follows;
v² = u² + 2gh
where;
v is the final velocityu is the initial velocity of the objecth is the height of the objectv² = 0 + 2gh
v² = 2gh
h = v²/2g
h = (10²) / (2 x 9.8)
h = 5.1 m
From the calculation above, the distance traveled by the object is actually 5 m.
So you will tell your friend that the distance traveled by the object dropped is not equal to the product of speed and time since the object is also influenced by force of gravity.
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Which of the following terms best describes the average kinetic energy of a system? kinetic energy potential energy thermal energy temperature
The common kinetic energy of the device is quality described through the word temperature.
Kinetic electricity is the power that an object possesses because of its mobility from one location to another. In a comparable vein, a system's temperature measures the average amount of kinetic strength in motion. As a end result, as molecules pass (circulate) greater swiftly in a device, the gadget's temperature rises because of heat being absorbed and an growth inside the average kinetic energy of the device.
clearly put, the size of temperature is how warm or bloodless some thing is basically, a thermometer is used to measure an object's temperature, and its units are;
Fahrenheit (°F).Celsius (°C).Kelvin (K).Know more about Kinetic energy:
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Rubbing sperates the positive and negative charges of objects
true
false
Answer:
true
Explanation:
If the allele frequency for the recessive single allele that causes a particular rare hair color is 0. 02, how frequently would you expect the hair color to be present in humans?.
1 in every 2500 individuals would expect the hair color to be present in humans
At a specific genomic region, an allele is one of two or more variations of the DNA sequence (a single base or a segment of nucleotides). For each genomic region with such variation, an individual inherits two alleles, one from each parent. The person is homozygous for the allele if the two alleles are the same. The person is heterozygous if the alleles are distinct from one another. The term "allele" is used to refer to a gene's alternate form or variants. For each autosomal gene, one allele is inherited from each parent, and we often group the alleles into categories. Usually, we refer to them as normal, wild-type, aberrant, or mutant alleles.
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consider a 50 kg cylindrical barrel resting on a wooden pallet. the pressure applied on the pallet by the barrel is 260 pa. what is the radius r of the barrel
The radius of the cylindrical barrel is 0.78 m.
Circular area of the cylindrical barrel
The circular area of the cylindrical barrel is calculated as follows;
P = F/A
A = F/P
where;
F is the applied force due to its weightP is pressure applied on the palletA is area of the cylindrical barrelA = mg/P
A = (50 x 9.8) / (260)
A = 1.885 m²
Radius of the cylinderA = πr²
r² = A/π
r = √(A/π)
r = √(1.885/π)
r = 0.78 m
Thus, the radius of the cylindrical barrel is 0.78 m.
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A satellite in orbit decreases in speed but maintains the same angular momentum. how must the radius of the orbit change?
Answer:
The radius of the orbit must increase.
Explanation:
Find the andcomponents of the net force (use trigonometry).
Find the magnitude and direction of the net force
The x and y components of the net force, F is 4.33N + 17.5N. The magnitude is 18.02 N and the direction is 76.10 N.
The initial velocity is Vi = 3 m/s
(a) F₁x = Fcosθ
Or, F₁x = 5Ncos30
Or, F₁x = 4.33 N
F₁y = Fsinθ
F₁y = 5Nsin30
Or, F₁y = 2.5 N
F₂x = 0
F₂y = 15Nsin30
F₂y = 2.5 N
Therefore, the net force is, F = 4.33N + 17.5N
(b) The magnitude of the net force is
F =√Fx² + Fy²
F = √(4.33)² + (1.75)²
F = 18.02 N
So, the magnitude is 18.02 N.
The direction is
θ = Tan⁻¹[Fy/Fx]
Or, θ = Tan⁻¹ [17.5/4.33]
θ = 76.10 N
The direction of the net force is 76.10 N.
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which activity is best described as a scientific endeavor?
Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.
A scientific endeavor builds scientific knowledge by postulating theories that explains any phenomenon. It might differ from what was already known as the truth. In a scientific endeavor, a problem is first identified, observations are made, hypothesis are created based on the observations and experiments are conducted to prove the hypothesis.
The other options manly focusses on developing devices and technologies to prevent or withstand hurricanes which are examples of engineering endeavors.
Therefore, Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.
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If a migrating loon flies at an average speed of 19 m/s, what is its average speed in mi/hr?
Unit conversion is a way of converting some common units into another without changing their real value. The average speed of the migrating loon flies is 45.5019 miles/hr.
What is Unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Given that migrating loon flies at an average speed of 19 m/s. Now, since 1 meter is equal to (1/1609.34) miles and 1 second is equal to (1/3600) seconds. Therefore, we can write the speed as,
[tex]\rm Speed = 19\ \dfrac{meter}{second}\\[/tex]
[tex]=19 \times \dfrac{\frac{1}{1609.34}\rm\ miles}{\frac{1}{3600} \rm\ hours}[/tex]
= 19 × (3600/1609.34) miles/hr
= 42.5019 miles/ hr
Hence, the average speed of the migrating loon flies is 45.5019 miles/hr.
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Earth has a sidereal period of 1 year. Jupiter has a sidereal period of 11. 9 years. What is the synodic period between earth and jupiter. Input your answer as a number only in earth years.
Answer:
398.8
Explanation:
What is the ph of the solution obtained by mixing 30.00ml of 0.250 m hcl and 30.00 ml of 0.125 m naph?
The pH(power of hydrogen) of the solution obtained by mixing 30.00ml of 0.250 m hcl and 30.00 ml of 0.125 m naph is 1.2.
What is pH ?In chemistry, the pH scale is used to define the acidity or basicity of an aqueous solution. Historically, pH stood for "potential of hydrogen." The pH values of acidic solutions are typically lower than those of basic or alkaline solutions.
The pH scale determines how acidic or basic water is. The range is 0 to 14, with 7 representing neutrality. Acidity is indicated by pH values below 7, whereas baseness is shown by pH values above 7. In reality, pH is a measurement of the proportion of free hydrogen and hydroxyl ions in water.
molarity of HCl = moalrity * volume
= 0.250 * 0.030 L
= 0.0075 moles
Moles of NaOH = (0.125) * (0.030L)
= 0.00375 Moles
moles of H + in axcess = Moles HCl - Moles NaOH
= 0.0075 - 0.00375
= 0.00375 moles
total volume = 30 + 30 = 60 ml = 0.060L
[H+] = moles/ volume = 0.00375/0.060L = 0.0625 M
pH = - log [H+]
= - log [0.0625M]
pH = 1.2
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how would you describe the kinetic energy of the particles in a solid? low kinetic energy high kinetic energy
Since they are tightly packed, solids vibrate in place and have the least kinetic energy.
The vibration and movement of the particles are accelerated by kinetic energy. Due to the liquid's relative higher kinetic energy, particles in it slide past one another.
Is the kinetic energy particles of a solid?The kinetic hypothesis states that matter is made up of moving parts. Kinetic energy is what propels motion. The least kinetic energy is held by solid particles, while the most is held by gaseous particles.
The particles gather kinetic energy and accelerate as the temperature rises. The actual average speed of the particles is influenced by both their mass and temperature; at a given temperature, larger particles travel more slowly than lighter ones.
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A runner is jogging in a straight line at a
steady vr= 7.1 km/hr. When the runner is
L= 3.3 km from the finish line, a bird begins
flying straight from the runner to the finish
line at vb= 28.4 km/hr (4 times as fast as
the runner). When the bird reaches the finish
line, it turns around and flies directly back to
the runner.
What cumulative distance does the bird
travel? Even though the bird is a dodo, assume that it occupies only one point in space
(a “zero” length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km.
The cumulative distance the bird travels is 4.4 km.
Time of motion of the bird
The time of motion of the bird is calculated from the principle of relative velocity.
distance covered by bird - distance of runner = distance between them
vb_t - vr_t = d
(vb - vr)t = d
where;
t is the time of motion(28.4 - 7.1)t = 3.3
21.3t = 3.3
t = 3.3/21.3
t = 0.155 hr
Distance traveled by the bird within this timed = 0.155 hr x 28.4 km/h
d = 4.4 km
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what is the magnitude of the electric force on an electron in a uniform electric field of strength 2490 n/cn/c that points due east?
The magnitude of electric force on an electron in a uniform electric field of strength 2490 n/c that points due east is 3.9 x 10^22 N/C as per calculated.
What is electric force?The electric force present between the nucleus and the electrons is called as electric force.
This electric force can also be generally described as the repulsive or attractive interaction that is present between any two charged bodies.
Electric force is also defined as the attracting or repulsive interaction between any two charged things.
Electric force for any kind of electric field E for a point charge q can be formulated as:
F = q*e
The SI unit of electric field can be devised as volt per meter (V/m) or in other similar terms, newton per coulomb (N/C).
This electric force can be calculated via
F= qe
⇒ F= (1.6 x 10^-19) x 2490
⇒ F = 3.9 x 10^22 N/C
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a piano tuner stretches a steel piano wire with a tension of 765 n. the steel wire has a length of 0.500 m and a mass of 3.75 g .
The frequency f1 of the string is 319.37 Hz and the number n of the highest harmonic is 50.
[tex]v = \sqrt{ \frac{F}{ \frac{m}{l} } } [/tex]
[tex]v = \sqrt{ \frac{Fl}{m} } [/tex]
[tex] = \sqrt{ \frac{765 \times 0.500}{3.75 \times 10 ^{ - 3} } } [/tex]
[tex] = \sqrt{ \frac{765 \times 0.500}{3.75 \times 10 ^{ - 3} } } [/tex]= 319.37 m/s
The frequency f1 of the string's fundamental mode of vibration is,
[tex]f = \frac{v}{2l} \\ [/tex]
[tex] = \sqrt{ \frac{319.37}{2 \times 0.500} } [/tex]
= 319.37 Hz
The frequency f1 of the string's fundamental mode of vibration is 319.37 Hz.
The number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 16 kHz is,
[tex]f _{n} = nf _{1}[/tex]
[tex]n = \frac{16}{319.37} [/tex]
[tex]n = 50[/tex]
The number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 16 kHz is 50.
Therefore, the frequency f1 of the string is 319.37 Hz and number n of the highest harmonic is 50.
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What is sherical aberration in mirror ?
Answer: In optics, spherical aberration is an image imperfection that occurs due to the increased refraction of light rays that occurs when rays strike a lens or a reflection of light rays that occurs when rays strike a mirror near its edge, in comparison with those that strike nearer the centre.
Explanation:
In optics, spherical aberration (SA) is a type of aberration found in optical systems that have elements with spherical surfaces. Lenses and curved mirrors are prime examples, because this shape is easier to manufacture.
Question 1: consider a metal rod of uniform temperature. is it possible that heat spontaneously flow from one end of the rod to the other end so that the two ends of the rod have different temperatures in the end? why? (3 points)
No, that is not conceivable. Heat flow in metal rod is due to temperature differences, but over time, temperature equilibrium is attained, therefore there is currently no temperature difference is at either end.
Metals vibrate continuously, and when one end of a metal is heated, the other end moves with the heated end. Conduction is the name given to this occurrence. Free electrons transfer the heat to the following atoms.
Even as solids, metals can carry electricity. The presence of delocalized electrons is the cause of this.
All metals are effective electrical conductors. Their conductivity is used to divide them into two groups. For instance, while sodium, potassium, and magnesium exhibit relatively low conductivity, copper, gold, and silver are all good conductors. Thus, they are referred to as normal conductors
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A ball is dropped from a window 24M high how long will it take to reach the ground
Answer: 2.448 seconds
Explanation: it should take about 2.448 seconds, 2.45 if to nearest 100th, or 2.4 if to nearest tenth or just 2 seconds if rounded to the nearest whole number, earth's gravity is 9.8 m/s. 24 / 9.8 = 2.448979591.
name one similarity between Scientific Method and
CER
Answer:
a
Explanation:
A garden has a circular path of radius 50 m . John starts at the easternmost point on this path, then walks counterclockwise around the path until he is at its southernmost point.
John's displacement as he walks round the garden is 314 m counterclockwise.
What is displacement?
Displacement can be defined as the distance traveled in a a specified direction.
To John's displacement, we use the formula below.
Formula:
D = 2πr.............. Equation 1Where:
D = John's displacementr = Radius of the circular gardenπ = PieFrom the question,
Given:
r = 50 mπ = 3.14Substitute these values into equation 1
D = 2×3.14×50D = 314 m counterclockwise.Hence, John's displacement as he walks round the garden is 314 m counterclockwise.
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If 1 cup of cream having a density of 1005 kg/m3 is turned into 3 cups of whipped cream, determine the specific gravity and specific weight of the whipped cream.
The correct answer is 3.286 kN/m³ .
The ratio of the densities of two different objects or substances is known as specific gravity. The majority of the time, the definition of specific gravity is given as the ratio of the substance's density to the density of water. A substance will float on the surface of water if its specific gravity is greater than 1.
The formula to calculate the unit weight is,
γ=ρg
Here, g is the acceleration due to gravity, and ρ is the density.
mass of cream did not change
Density of cream = 1005kg/m³
As 1 cup cream becomes 3 cups,
Therefore,
hence specific gravity or specific weight we get m / 3V ( since m is same but V changed to 3V)
m/V = 1005 kg/m3
now, m/3V = ( 1/3) ( m/V) = ( 1/3) ( 1005 kg/m3) = = 335kg/m³
Now, unit weight of the whipped cream;
= 335×9.81 = 3286.35N/m³
= 3.286 kN/m³
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college physics two teams of seven members each engage in a tug of war. each of the first team’s members has an average mass of 64.0 kg and exerts an average force of 1427 n horizontally. each of the second team’s members has an average mass of 70.0 kg and exerts an average force of 1443 n horizontally. what is the acceleration of the two teams?
The acceleration of Team 1 and Team 2 are 22.3 m/[tex]s^{2}[/tex] and 20.6 m/[tex]s^{2}[/tex] respectively.
We have a game of tug of war between two teams.
We have to determine the acceleration of both the teams.
What is Force ?Force is the product of mass and its acceleration for a moving body. Mathematically -
F = ma
According to the question, we have -
TEAM - 1 :
The acceleration of team 1 can be calculated as follows -
F(1) = m(1) a(1)
a(1) = F(1) / m(1) = 1427 / 64 = 22.3 m/[tex]s^{2}[/tex]
TEAM - 1 :
The acceleration of team 2 can be calculated as follows -
F(2) = m(2) a(2)
a(2) = F(2) / m(2) = 1443 / 70 = 20.6 m/[tex]s^{2}[/tex]
Hence, the acceleration of Team 1 and Team 2 are 22.3 m/[tex]s^{2}[/tex] and 20.6 m/[tex]s^{2}[/tex] respectively.
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It takes ann 3 minutes to run 800 meters and with sandbags it takes 2 more minutes how long will it take ann running with sand bags
Ann runs 800 meters without sandbags in 3 minutes. if she completes 800 meters with them in 2 more minutes. Ann's speed when jogging with sandbags is 160 m/min
Speed is defined as the rate at which an object's motion changes in relation to its distance. Since speed is a scalar quantity, the direction of the motion has no bearing on the speed.
It differs from velocity due to this. The rate of change of motion is measured in velocity in a certain direction. Velocity is a vector question, therefore. It's important to move in this way.
Distance to time ratios are used to calculate speed.
Therefore, in this scenario, Speed would travel without a sandbag.
800/3 = 266.66 m/min
Speed while travelling without the sandbag,
800/5 = 160 m/min.
Therefore, the speed while travelling with the sandbag is 160 m/min.
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Superman used x-ray vision to detect objects. aside from detection of x-rays, what else would be needed for x-ray vision?
Superman used x-ray vision to detect objects.
You will want at least two components for x-ray detection/vision to function: an x-ray source and an absorber for x-ray.
It isn't vital for the aspect you need to peer to be the supply; it only needs to take in a number of the light. The medical expert will region your chest between the absorber and source whilst taking a chest x-ray. because the coronary heart can in part soak up mild, it'll seem whiter than the lungs, which are formed of air and cannot achieve this.
Making X-ray photographs is viable. now not within the realm of technology fiction. this is how it goes. X-rays can be created via directing high-velocity electrons at a metal surface. X-rays are equal to seen light, besides their wavelength is notably shorter (but they're nevertheless electromagnetic waves). but, X-rays engage with depend in a special way than seen mild due to the fact they have got a unique wavelength (and frequency). this implies that some substances are truly transparent, including human flesh. by using passing X-rays thru a person and placing an X-ray detector on the alternative side, you may utilize this technique to supply an X-ray photograph.
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A team of engineers is doing a cost-benefit analysis to determine whether
they should develop new technology. What are two risks to human health they
should include in their analysis?
1) What are the remote and immediate effects of the technology on the health of people?
2) Is there any avenue to handle potential health risks that could be associated with the new technology?
What are the risks?New technology is always laden with a lot of inherent risk factors. The fact that the development if new technology often has to do with the exploitation of the resources that help to sustain the environment leaves much to be desired.
When developing new technologies the following should be taken into consideration;
1) What are the remote and immediate effects of the technology on the health of people?
2) Is there any avenue to handle potential health risks that could be associated with the new technology?
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An emt asks you how he can decrease the chances of being involved in a collision when driving with lights and siren at night. Your advice would be:__________
An EMT asks you how he can decrease the chances of being involved in a collision when driving with lights and sirens in progress. Your advice would be as if the lights of the oncoming car are blinding you, glance to the right side of the road rather than at it.
Drivers up to 3,000 feet away can be rendered blind by headlights approaching from behind. If you feel you won't be able to see after a car passes you, slow down and try not to look directly into its headlights.
If approaching headlights are blinding you while you are driving at night, look to the right side of the road. You'll be able to see other automobiles thanks to your peripheral vision. On your car, apply some reflective tape.
Items are visible at night because of their rich color and striking contrast. Reflective tape is a fantastic option to wear as a result of this especially in dark colours.
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