Ines of latitude run from East to West and measure angular distances North or South of the equator.
The latitude defines a geographical coordinate of a location on the earth's surface and is the angular distance of that point (north or south of the equator) measured with respect to the Earth's Center. It is zero at the equator and 90 degrees at the poles. Latitude lines, often known as parallels, are imaginary lines that divide the Earth. They go east to west, although you may measure north or south. The most well-known parallel is the equator. It splits the Earth into Northern and Southern hemispheres at 0 degrees latitude. Latitude increases as you move north or south from the equator, reaching 90 degrees at either pole.
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Suppose a and b are orthogonal vectors. what is projab? why? give a geometric interpretation in r2 and r3.
A and B are orthogonal vectors, so projab=0 and projab = b
If the vectors a and b are present in, then b is projected onto an as
[tex]proj_{a} b[/tex] = [tex]\frac{a.b}{a^{2} }[/tex]a.
Suppose a and b are orthogonal vectors. Then and
[tex]proj_{a} b[/tex][tex]=\frac{a.b}{a^{2} }=0[/tex]
Suppose a and b are parallel vectors. Then a scaler c exists such that b=cx and
[tex]proj_{a} b=[/tex][tex]=\frac{a.b}{a^{2} }=c\frac{a.b}{a^{2} } a=ca=b[/tex]
[tex]proj_{a} b=0\\proj_{a} b=b[/tex]
What are the orthogonal unit vectors?The term "orthogonal unit vectors" refers to a collection of vectors that are mutually perpendicular to one another, that is, they intersect at an angle of 90° with a magnitude of one unit. Since Cos90 is zero, the dot product of an orthogonal vector is always zero.
Two orthogonal vectors have a zero dot product. The zero dot product of the two column matrices that represent them. It only matters in relation to orientation. In the case of orthogonal vectors, the dot product is zero.
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Name the units for each electrical quantity. a. potential difference (electrical pressure) _____ b. electrical current ______ c. electrical resistance ______
The answer of the question is
(a)Voltage or Volt
(b)Ampere (A)
(c)Ohm
A cook checks the temperature of soup being held for service and it is 130 fahrenheit to cook reheats the suit to 165 this is example of:________
A cook checks the temperature of soup being held for service and it is 130 Fahrenheit to cook reheats the suit to 165 this is example of taking a corrective action.
What is meant by corrective action?
Realizing and characterizing issues, identifying their root causes, and taking the necessary steps to stop them from happening again are all components of corrective action. After that, the Corrective Action Process (CAP) aids in creating, implementing, and verifying the measures done.
Improvements to an organization's procedures are used to get rid of the reasons behind non-conformities or other undesired circumstances.
"Corrective action" refers to a course of action to get rid of the root of a discovered non-conformity or other unwanted circumstance. A nonconformity may have more than one source. In order to avoid repetition, corrective action is taken.
The soup is reheated to 165°F (74°C) when the cook determines that it is 130°F (54°C) when it is being kept for service. This serves as an illustration of corrective action.
A solution that aids in resolving a specific issue is referred to as a rectification action.
In this instance, the cook's corrective intervention aids in keeping the soup fresh.
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Humans convert approximately ________ of the energy stored in food to useful work
Humans convert approximately 40% of the energy stored in food to useful work
Humans can store about 40% of the energy from the food consumed due to the conversion of energy from food through the metabolic process (metabolism).
The other 60% of the energy it is used to maintain the normal function of the body and the other activities that involve physical and mental activities
The energy storage is a reserve of energy that we can use in really difficult situation when the body is with no energy.
What is metabolism?The processes of a chemical or physical nature by which the human body converts or uses energy.
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A mechanic working on a 100-m radar tower drops a hammer weighing 44.5 n. the work done on the hammer as it falls is:________
A 44.5 n hammer falls from a 100 m radar tower being repaired by a mechanic 4450 J worth of work is done on the hammer as it falls.
Briefing:Work= Force *Distance
= 44.5*100
= 4450 J.
What Is Distance?Distance is a measurement of the distance between two objects or location. In physics, the term "distance" can refer to an actual length or, more commonly, to an estimate based on several other parameters. The sign |AB| may occasionally be used to denote a distance between two places.
What is the formula for calculating distance?To calculate the distance, use the formula d = st, or distance equal speed multiplied by time.
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For the following processes, state whether each of the thermodynamic quantities q, w, u, and h is greater than, equal to, or less than zero for the system described. explain your answers briefly
A- The system's internal energy is constant since the temperature is constant. 0 deltas
B- the system receives no new or removed heat Q=0
C. Because the system's volume remains constant, it does not perform any work. 0 W=p delta v
An isothermal process in thermodynamics is a type of thermodynamic process where the system's temperature T remains constant: T = 0. A thermodynamic process known as adiabatic means that no heat is transferred into or out of the system. An isochoric process in thermodynamics is one in which the volume of the closed system experiencing the process remains constant. It is also known as a constant-volume process, isovolumetric process, or isometric process.
the complete question is :
For each of the following, which thermodynamic quantities (delta u, q, w) have values equal to zero?
A- an isothermal process
B- an adiabatic process
C- an isovolumetric process
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In animals, carbohydrates are stored in ______ granules adjacent to the smooth er membrane in liver cells. these release energy upon demand.
As the liver cells of animals, carbohydrates are kept in glycogen granules close to the inner membrane. On demand, these release energy.
Where can you find glycogen ?In addition to human muscle and liver cells, other cells such as those in the brain, heart, smooth muscle, kidney, red and white blood cells, and even adipose tissue also store modest amounts of glycogen.
Glucose is stored in the form of glycogen. It is a sizable, multi-branched polymer of glucose that is converted back into glucose in response to glucagon and accumulates in response to insulin. The fact is that because fat is such an energy-dense molecule and contains so many calories per gram, ounce, or pound, it is far simpler to lose weight when your body burns carbohydrates instead of fat. While a gram of glycogen only contains four calories, a gram of fat has nine calories.
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I need help with this ASAP.. please and thank you.. I have to get it done
A resistor carries 0.40 a when connected to a 9.0-v battery. what is theresistance of the resistor?
The resistance of the resistor which carries 0.40 a when connected to a 9.0-v battery is 22.5 ohm
Given:
current of resistor = 0.40 A
voltage of resistor = 9.0 V
To Find:
the resistance of the resistor
Solution: Resistance of a resistor with current I and voltage V is defined as the ability of the element to resist the flow of current through it. It's SI unit is V/A or ohm. Ohms () are used to express resistance values. Electricity will flow from high to low when two terminals have an electron difference. That flow is countered by resistance. The current decreases as resistance increases. Conversely, the higher the current, the lower the resistance.
Voltage = Current x Resistance
Resistance = Voltage/Current
Resistance = 9 V/0.40 A = 22.5 ohm
Hence, the resistance of the resistor is 22.5 ohm
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Five particles are shot from the left into a region that contains a uniform electric field. The numbered lines show the paths taken by the five particles. A negatively charged particle with a charge –3q follows path 2 while it moves through this field. Do not consider any effects due to gravity. In which direction does the electric field point?.
An electric field that has a constant field strength value throughout is said to be uniform. Since the field strength is constant and the field lines are generally parallel and evenly spaced from one another in a uniform electric field. Their separation is equal.
What is an electric field point?Each point in space has an electric field associated with it when there is a charge present in any form. The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.
What is meant by a uniform electric field?An electric field that has a constant field strength value throughout is said to be uniform. Since the field strength is constant and the field lines are generally parallel and evenly spaced from one another in a uniform electric field. Their separation is equal.
Therefore, the correct answer is option D) toward the bottom of the page.
The complete question is:
In which direction does the electric field point?
A) toward the top of the page
B) toward the left of the page
C) toward the right of the page
D) toward the bottom of the page
E) out of the page, toward the reader
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Tabitha walked a distance of 1.80 km in 30 min. Find her average speed.
Formula:
distance traveled divided by time taken.
So 1.80 Divided by 30 = 0.06
Tabitha's average speed = 0.06
All Done!
The idea that light consists of photons, bundles of pure energy, was first proposed by?
Einstein was the first to postulate that light is made up of photons, which are essentially energy bundles.
What a photon is made of?A photon is a microscopic particle made up of electromagnetic radiation waves. Maxwell demonstrated that photons are merely electric fields moving through space. Photons move at the speed of light and have no charge or rest mass. Charged particles produce photons, though they can also be produced by other processes, such as radioactive decay.
It's common to refer to photons as energy packets. This analogy is excellent because a photon has uncondensable energy. An alternating electric field is how this energy is kept in reserve. The universe's size, which is the longest theoretical wavelength of light, and the Planck length, which some theories claim to be the smallest, have never been measured. These energy packets may travel great distances without losing energy or speed. In vacuum, photons move at the speed of light, which is 2.997 x 108 m/s.
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A powerful motorcycle can accelerate from rest to 29.2 m/s in only 3.9 s. What is its average acceleration in meters per second squared?
56 meters have been determined as the distance traveled.
s-displacement, u-initial velocity, v-final velocity, a-acceleration, and t-time variables are equal to v=u + at and v2 = u2 + 2ass, respectively.
The motorcycle's values are as follows:
u= 0m/s
v=28m/s
t=4s
a=??
s=??
v=u +at
28= 0 + 4a
4a=28
a= 7m/s2
As a result, the typical acceleration is 7 m/s2.
displacement u2+2as, v2=s
28^2= 0^2+ (2x7s)
784= 14s
s= 784/14
s= 56
Therefore, the journey's distance was 56 meters.
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Consider a situation where you exert a force f on a crate of mass m, moving it at a speed v a distance d across a floor in a time interval t. the quantity 1/2 mv2 is:______
The quality (1/2) mv² will be the kinetic energy of the crate .
The kinetic energy of an object is define as , it is a form of energy that an object or a particle has by reason of its motion.
We are know that,
Force exerted on the crate = f
Mass of the crate = m
Speed of motion of the crate =v
Distance traveled by the crate across the floor = d
Time interval passed = t
The motion can be defined as , the change in position of an object with respect to its surroundings in a given interval of time.
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. If the exert a force f on a crate of mass m, moving it at a speed v a distance d across a floor in a time interval t.
K.E. = 1/2 m v²
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A train slows down as it pulls into a station. if the train is moving from your left to your right, what are the directions of the vectors for velocity and acceleration?
The directions of the vectors for velocity and acceleration are in the opposite directions.
The velocity vector is always in the direction of motion of the object. So, the direction of velocity is in the right from our point of view.When there is a positive acceleration in the object the acceleration vector is in the direction of motion of the object. When there is a negative acceleration in the object the acceleration vector is in the opposite direction of motion of the object. So, the direction of velocity is in the left from our point of view.Velocity vector is the rate of change of position of an object. Acceleration vector is the rate of change of velocity of an object.
Therefore, the directions of the vectors for velocity and acceleration are in the opposite directions.
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A high-voltage power line is a catenary described by y = 9cosh(x/9) find the ratio of the area under the catenary to its arc length.
The correct answer for the ratio of the area under the catenary to its arc length is 12 : 1 .
y = 12cosh(x/12) Since the анс length from FGN) on the interval [c, d] is Arc length =
Let y' =f'(x) prime = derivative of 12cosh(x/12) for x = Sinh(x/12) .
. A(x) length = ∫√1+ Sinh² (1/2). dx
= int c ^ d sqrt(cosh^2 (alpha/12)) * dx
= integrate d from c to d cosh( x 12 )* dx
=[12. sinh(x/12) ] e ^ d
= 12[sinh(d/12) - sinh(c/12)]
and area under f(x) on the interval [c, d]
Area = ∫ f(x).dx from [c,d ]
= 144[sinh(d/12) - sinh(c/12)]
the area ratio of the area under the catenary to it's length is
= 144[sinh((d)/12) - sinh(c/12))/ 12[sinh( d/ 12 ) -sinh( c /12 )] .
=12
So, ratio is 12:1
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What two principal factors affect the force of air resistance on a falling object?.
The two principal factors that affect the force of air resistance on a falling object are speed and cross-sectional area of the object.
When an object falls through the air, it mostly encounters some sort of resistance to its speed and this resistance is known as air resistance.
This resistance is present because of the collisions of the air molecules with the frontal surface molecules of the object.
As the speed is increased of the object so that increased amount of air resistance. speed of the object is directly proportional to the air resistance.
The cross-section of solid is defined as the shape obtained by the intersection of solid by a plane .
The rate of change of distance with respect to time is known as speed.
S = (dx/dt)
Where, dx is the distance and dt is change in time .
So that, more the speed, more the air resistance and so in the case with the cross-sectional area.
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The distance and direction an object moves from its starting point?
Displacement has direction as well as magnitude. Distance traveled is the total length of the path traveled between two positions.
The dense atmosphere of venus is ________, causing most incoming solar radiation to be _________.
The dense atmosphere of Venus is light in color, causing most incoming solar radiation to be reflected.
What is the composition of atmosphere of Venus?The atmosphere of Venus is composed of carbon dioxide (CO2, 96,5 %) and nitrogen (N2, less than 3,5%) already represent more than 99,9% of the composition. Water Vapor is present in extremely low quantities, making Venus the driest planet of the solar system.
What is the effect of solar radiation on planet Venus?On Venus, only 10% of the incoming solar radiation reaches the surface; most of it is reflected back into space by the planet's dense cloud cover, making Venus appear to shine brightly in the night sky.
Despite the small amount of solar radiation reaching the surface, it is trapped effectively by gases in lower atmosphere, giving rise to the high temperatures.
Scientists think that the Venus was once more like the Earth, but at some point it started heating up uncontrollably. Any water that may have once existed in oceans on the surface evaporated into atmosphere causing further runaway heating.
It’s like Earth gone wrong with a runaway greenhouse effect that some planetary scientists say should be a warning as to what may become of our home planet if human activities – such as burning fossil fuels and destroying forests, which intensifies natural greenhouse effect – continue.
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Name the four most abundant elements in the entire earth. use their full names instead of their symbols.
Answer: Oxygen, silicon, iron and aluminum
Explanation: Oxygen, which composes about 49.5% of the total mass of the Earth’s crust, waters and atmosphere, according to the textbook “Modern Chemistry.” Silicon is second at 28%. Aluminum is a distant third, at only 8%. Compounds of silicon and oxygen make up 87% of the materials in the Earth’s crust.
The energy driving the global water cycle is provided by:________
a. rotation of the earth on its axis.
b. solar energy.
c. wind.
d. tides.
The energy driving the global water cycle is provided by solar energy.
What is a solar energy?Solar energy is the term for solar radiation, which has the ability to ignite chemical reactions, produce heat, or create electricity. The total solar energy incident on Earth far exceeds both the present and future energy needs of the planet. This highly diffused source might potentially provide all of the energy required in the future if properly harnessed. Due to its limitless supply and lack of environmental impact compared to the finite fossil fuels coal, petroleum, and natural gas, solar energy is predicted to gain popularity as a renewable energy source in the twenty-first century. Although the Sun is a very potent energy source and sunlight is by far the most abundant energy that Earth receives, the intensity of sunlight at the planet's surface is actually rather low.
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How far does a freely falling apple drop in 7.4 s after being released from rest?
The freely falling apple will travel 268.32 meters along y-axis
We need to know about free fall motion to solve this problem. The free fall motion should follow this rule
vt = gt
vt² = 2gh
h = 1/2 . g . t²
where vt is final velocity, g is the gravitational acceleration (9.8 m/s²), h os height and t is time.
From the question above, we know that
t = 7.4 s
Use the third equation to get the distance (height)
h = 1/2 . g . t²
h = 1/2 . 9.8 . 7.4²
h = 268.32 m
The freely falling apple will travel 268.32 meters along y-axis.
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If the vertical initial speed of the ball is 4.5 m/s as the cannon moves horizontally at a speed of 0.70 m/s , how far from the launch point does the ball fall back into the cannon?
The distance of ball from the launch point is
0.92 m
Given:
U = 4.5 m/s = initial speed
V = 0.7 m/s = final speed
g = 10 m/s^2 = acceleration due to gravity
To Find:
distance of ball from the launch point
Solution: The law of motion equation
V^2 - U^2 = 2aS
(0.7)^2 - (4.5)^2 = 2*10*S
0.49 - 18.9 = 20S
- 18.41 / 20 = S
S = - 0.92 m
The distance of ball from the launch point is 0.92 m
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Why must the nurse check the flow rate after changing the gown of a patient who is receiving intravenous fluids infused by gravity?
The nurse will check the flow rate of the infusion after a gown change because handling the intravenous tubing and container can disrupt the flow rate.
What is intravenous fluids ?Intravenous fluids, sometimes abbreviated as "IV fluids," are liquids that are administered to replace water, sugar, and salt that you may need if you're ill or having surgery and are unable to eat or drink regularly. Through a drip, IV fluids are administered directly into a vein.
Examples include D5W, which is dextrose (sugar) in water, and normal saline, which is salt in water. Lactated Ringer's is another illustration, which includes salt, chloride, potassium, calcium, and lactate. It is employed for forceful fluid replacement.Learn more about Intravenous fluid here:
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What would happen to the predominant protonation state and charge of the his and asp side chains if the ph were to change from 7.40 to 5.00?
The predominant protonation state and charge of the His and Asp side chain will be predominantly protonated and positively charged if both its p[tex]K_{a}[/tex] values is more than 5.
We know that,
pH = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )
where,
[ [tex]A^{-1}[/tex] ] represents deprotonated form
[ HA ] represents protonated form
Consider pH = p[tex]K_{a}[/tex]
In this case,
[ [tex]A^{-1}[/tex] ] / [ HA ] = 1
This means that protonated and deprotonated forms are equal.
This also means that as pH decreases, the acid's state will be predominantly protonated and its charge will be positive.
The relationship between pH and p[tex]K_{a}[/tex] shown above is known as Henderson-Hasselbach equation
Therefore, the predominant protonation state and charge of the His and Asp side chain will be predominantly protonated and positively charged if both its p[tex]K_{a}[/tex] values is more than 5.
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What approach responds to the limitations of the other legacy-measuring methods?
The other-legacy measuring methods' weaknesses are addressed by the bottom-up approach.
An organizational decision-making process known as a "bottom-up approach" begins at the bottom of the hierarchy rather than the top. In actuality, this means that choices won't always be made by the CEO or department head (this is known as a top-down approach).
What distinguishes a bottom-up strategy from a top-down approach?
When choices affecting the entire organization are made, top-down management is used, whereas bottom-up management involves all teams in these types of decisions.The bottom-up approach often focuses its analysis on specific traits and micro features of a single stock. The focus of bottom-up investment is on fundamentals that apply to individual companies or industries.What bottom-up management has to offer:
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F = (-3.4,7.0), where all components are in newtons. what is the magnitude (in newtons) of f?
The all components of force is F = ( -3.4 i + 7 j ) N which has magnitude of | F | = 7.78 N.
We need to know about vectors to solve this problem. Force is included in the vector which has magnitude and direction. Force can be written as
F = Fx i + Fy j
where F is force, Fx is the force component on the x-axis, Fy is the force component on the y-axis.
From the question above, we know that
F = (-3.4 , 7.0)
Hence the force can be written as
F = ( -3.4 i + 7 j )N
The magnitude of this force can be determined as
| F | = √(Fx² + Fy²)
| F | = √((-3.4)² + 7²)
| F | = √(11.56 + 49)
| F | = 7.78 N
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A solid block of metal is at its melting temperature. it takes 24j to melt 6kg of a metal. what is the latent heat of fusion of the metal?
The Latent heat of fusion is also known as the Enthalpy of Fusion. It is a kind pf change in enthalpy.
Brief explanation of Latent Heat of Fusion?The latent heat of fusion, is the change in enthalpy that takes place when energy, typically heat, is provided to a specific quantity of a substance to causes it to change from a solid state to a liquid state at a constant pressure.
For instance, 1 kilogram of ice melts at 0 °C at a variety of pressures, absorbing 333.55 kJ of energy without causing a change in temperature.
The heat of solidification, which occurs when a substance changes from a liquid to a solid, is equal and opposing.
This energy includes the contribution necessary to displace its surroundings against ambient pressure in order to accommodate any corresponding change in volume.
The melting point or the freezing point, depending on the situation, is the temperature at which the phase transition takes place. Conventionally, unless otherwise stated, the pressure is taken to be 1 atm (101.325 kPa).
CalculationThe formula of latent heat of fusion is L= q/m
Here q is the heat provided and m is the mass of the object.
So, L = 24j/6kg
L= 4j/kg
So, the latent heat of fusion is 4 j/kg
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Almotorcycle has a maximum acceleration of 3 m/s2 in either direction and a maximum
speed of 25 m/s. How long does it take for the motoreycle to reach someone who is 1 km away?
Answer:
44.2 seconds
Explanation:
to accelerate to 25 m/s will take 25/3 = 8.33 sec
and cover d = 1/2 a t^2 = 104.1 m
this leaves 1000 - 104.1 = 895.92 meters to cover at 25 m/s
= 35.84 seconds added to the original 8.33 second required to get up to ax speed = 44.2 seconds
Find the work done by winding up a hanging cable of length 12 ft and weight density 2 lb/ft. round your answer to two decimal places, if necessary.
The correct answer for the work done by winding up a hanging cable of length 12 ft and weight density 2 lb/ft is 144 ft/lb.
Consider that the entire hanging cable is lifted by 12 feet and there is weight of with weight density 2 pounds per feet .workdone by hanging
W = ∫2x dx from 0 to 12
W =144 ft/lb.
When a force moves something over a distance, work is done. The energy transferred, or work done, can be calculated by multiplying the force by the distance moved in the direction of the force. Work done = force x distance moved in the direction of the force = energy transferred.
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