Answer:
(a) At U = 3, 9 , v = 4, 2, the projection of u onto v is w1=<2,8>
(b)At U = 3, 9 , v = 4, 2, the vector component of u orthogonal to v is w2 = <4,-1>
Explanation:
A
The projection of u onto v is given by:
w1= projvu = (u⋅v||v||2)v
Given that u= <6,7> and v=<1,4>, we can find the projection of u onto v as shown below:
w1= projvu = (u⋅v||v||2v=(<6,7>⋅<1,4><1,4>⋅<1,)
=(6⋅1+7⋅41⋅1+4⋅4)<1,4>
=3417<1,4>
=<2,8>
Part B
The vector component of u orthogonal to v is given by:
Using the given vectors and the projection found in part (a), we can find the vector component of u orthogonal to v as shown below:
w2=u−projvu
=<6,7≻<2,8>
=<(6−2),(7−8)>
=<4,−1>
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Which has the highest heat capacity? (values of heat capacities and calculations are unnecessary).
Water has the maximum specific heat capacity of any fluid.
The amount of heat that one gram of a material needs either absorb or lose in order to alter its temperature by a degree Celsius is known as specific heat. This equates to one caloric, or 4.184 Joules, for water.
High heat capacity: what is it?Consider the amount of time it takes for a pot to get warm to the touch on the stove as opposed to how long it takes for the water within to warm up. A substance with a high heat capacity may absorb a lot of heat before registering a change in temperature.Why does water have the greatest ability to retain heat?Although the hydrogen bonds in water are much too weak to be compared to intra - molecular bonds like covalently or ionic bonds, they are nevertheless strong enough to require a lot of energy to break. Water boils at 100°C for this reason.
Many people believe hydrogen bonding is the cause of water's high specific heat.
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Can you physically touch a person without that person touching you with the same amount of force?.
Answer: no
Explanation: every action has an equal and opposite reaction
Elemental phosphorus occurs as tetratomic molecules, p4. what mass (kg) of chlorine gas is needed to react completely with 356 g of phosphorous to form phosphorus pentachloride?
The Mass of chlorine gas is [tex]2.60[/tex] × [tex]10^{3}[/tex] [tex]g Cl_{2}[/tex]
Mass of [tex]P_{4}=455 g[/tex]
Phosphorus and Chlorine gas are the reactants.
Phosphorus pentachloride is the product.
[tex]_P_{4}(S)+_Cl_{2}(g) ------- > _PCl_{5}(S)[/tex]
Place 1,10 and 4 as the coefficients of [tex]P_{4} ,Cl_{2} ,[/tex] and [tex]PCl_{5}[/tex]
[tex]_P_{4}(S)+10Cl_{2}(g) ------- > 4PCl_{5}(S)[/tex]
Multiply the calculated number of moles of [tex]Cl_{2}[/tex] by its molar mass. The molar mass of [tex]Cl_{2}[/tex] is 70.90 g/mol.
Mass of [tex]Cl_{2}[/tex] needed = 36.7232 mol [tex]Cl_{2}[/tex] × [tex]\frac{70.90 g Cl2}{1 mol Cl2}[/tex] = [tex]2.60[/tex]×[tex]10^{3}[/tex] [tex]g Cl_{2}[/tex]
What is elemental phosphorus used for?Fertilizers are the principal application for phosphorus, which is used in the form of concentrated phosphoric acid. Additionally, insecticides, detergents, plasticizers, and baking powder all contain phosphorus-based chemicals.
Phosphate is a key component of fertilisers and supports high crop yields. It is essential to the entire agriculture sector and cannot be easily replaced. Phosphate rock mining, however, is occurring at an unsustainable rate. By utilising microorganisms to precipitate the phosphorus, some researchers are attempting to recover phosphorus from wastewaters.
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The full moon is opposite the sun in the sky, and rises as the sun sets. what is the approximate angular separation of the sun and the full moon?
The approximate angular separation of the sun and the full moon is 180°
The full moon is opposite the sun in the sky, and rises as the sun sets is may be understand as ,the Moon can be seen in the day light sky at any phase except for the new moon, when it's invisible to us, and full moon, when it's below the horizon during the day. The crescent through quarter phases are high in the sky during the day, but the daytime gibbous phases can be glimpsed only just before the Sun sets
In the crescent phase, the lit-up part of the Moon increases from 0.1% to 49.9%. is growing, while crescent refers to the curved sickle shape.
The gibbous moon is the phase of moon in that appears more than half lighted but less than full.
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One-half second after starting from rest, a freely falling object will have a speed of about:_________
a. 20 m/s.
b. 10 m/s.
c. 5 m/s.
d. 2.5 m/s.
e. none of these
One-half second after starting from rest, a freely falling object will have a speed of about 5 m/s.
What do you mean by falling object?Falling things include goods, tools, garbage, and rubbish that are blown, dropped, or displaced from heights.
Physical science research frequently involves the study of gravity. Of course, what makes things fall is the force of gravity. A force of attraction between two objects is constant. This pulling force is similar to the pull of gravity.
given free fall from rest i.e.
initial velocity u=0 m/s
acceleration a = 10m/s2
time t=0.5 seconds
we know final velocity v = u + at = 0 + (10 *0.5) = 5m/s
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A schematic can tell an electrician that the switches are normally
until the sensor senses smoke.
a. locked
b. open
c. closed
d. charged
The correct answer is Option B) Open.
A schematic can tell an electrician that the switches are normally open
until the sensor senses smoke.
What is a schematic diagram?A simple, understandable graphical representation of a plan or model is called a schematic diagram. Simple lines and symbols are used in schematics to convey details like what, how, and where. A schematic diagram's primary role is to highlight circuit components and the relationships between them. Schematics are a very useful tool for troubleshooting since they show which parts are connected in series or parallel and how.
An example of an electrical switch is one that is normally open. A typically open switch remains "off" when it is not compressed. The inside electrical connections are to blame for this. In a typically open switch, the contacts are open when the switch is off. This indicates that the switch is "off" because the electrical connection is damaged.
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what is sine wave or sinusoidal wave? write the general form of sine wave and define each term. requency and speed of this wave.
sine wave or sinusoidal wave -
sine wave can be described as a geometric waveform that oscillates periodically.
It retains its wave shape when added to the another sine wave of the same frequency.
It is a continuous wave.
the general form of sine wave is
y = asin(bx)
where
a is amplitudeamplitude is the maximum displacement from its mean position to extreme position.
b is periodicityPeriodicity is a repeating continuous pattern which determine its wavelength and frequency.
Frequency of sine wave.
1kHz that is sine wave goes through thousand complete cycle in one second.
Speed of sine wave.
Speed = frequency x wavelength
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A wave has an angular frequency of 127 rad/s and a wavelength of 2.62 m. calculate (a) the angular wave number and (b) the speed of the wave.
The angular wave number and (b) the speed of the wave is 522.66 m/s.
What is angular wave?Precise wavenumber is an amount in hypothetical material science that is characterized as the quantity of radians per unit distance. Precise recurrence is the rakish dislodging of any component of the wave per unit time. Likewise, in wave wording for a sinusoidal wave, the rakish recurrence alludes to the precise dislodging of any component of the wave per unit time. It is addressed by A recurrence is a rate, thus, the elements of this amount are radians per unit time. Precise hubs are level planes (or cones) where the likelihood of finding an electron is zero. This implies we can't at any point track down an electron in a rakish (or some other) hub. While outspread hubs are situated at fixed radii, precise hubs are situated at fixed points.
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How far from a 1.00 uc point charge will the potential be 100 v? at what distance ;will it be 2.00 x 10^2
The charge will the potential be 100 V = 1.112 x10⁻¹² C
distance is 4.994 × 10⁻⁵m
v = 100V
K = 8.988 x 10⁹ NM²/C²
r = 1.00 μC
charge may be defined as physical quantity which experience force when placed in an electromagnetic field.
It is measured in coulomb (C)
It is represented by the symbol q.
The formula to find how far from a 1.00 μC point charge will the potential be 100V.
V = kq / r ........1
q = rV/ K
Where
V = Electric potential
q = charge
r = distance
k = Coulomb's constant.
Charge = (1.00 x 10⁻⁶m)(100)/ 8.988 x 10⁹ NM²/C²
q = 1.112 x10⁻¹² C
So, The charge will the potential be 100 V = q = 1.112x 10⁻¹² C
distance at which it will be 2.00 x 10^2 is given by
using equation 1
V = kq / r
r = kq/V
using above values we have
r =8.988 x 10⁹ NM²/C² x 1.112x 10⁻¹² C /2.00 x 10²
r = 4.994 × 10⁻⁵m
distance is 4.994 × 10⁻⁵m
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The postal service had a special deal. You could ship up to 2 kg for five dollars for a
limited time. For Amy's friend's birthday, Amy wanted to ship her sweets and candy,
and she wanted to get the best bang for her buck. She first made her cookies. They
had a mass of 400 grams. How many kilogram (s) of sweets and candy could Amy
still ship if only the cookies were in the box for the five dollar special?
weight of sweets and candy is 1.6kg
It is given that a total weight of 2 kg is allowed by the postal service
The weight of cookies is given to be 400gm
we know that 1kg =1000gm
400gm= 400/1000 gm =0.4kg
Therefore weight of sweets and candy that Amy can send=
total weight- weight of cookies
=2kg - 0.4kg
=1.6kg
Therefore, weight of sweets and candy is 1.6kg
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A compound held together by ionic bonds is called a
a. diatomic molecule
b. polar compound
c. salt
d. covalent molecule
Answer:
its probably covalent compound
The motion of the rocket labeled a is an example of motion with uniform (i.e., constant) __________. and nonzero
a. acceleration
b. velocity
c. position
d. time
The motion of the rocket labeled a is an example of motion with uniform (i.e., constant) velocity and non- zero acceleration.
A body when covers an equal distance with an equal interval of time, this condition of the velocity is known as uniform velocity. Or, we can say that when the direction and magnitude of speed of a body do not change with time, then the body is said to be at uniform velocity.
Having a non-zero acceleration means having any amount of acceleration whatsoever. This could be either positive acceleration or negative acceleration (a.k.a. deceleration).
An object experiences a non-zero acceleration when it is speeding up, slowing down, or remaining at the same speed while changing direction. Any of these three scenarios would result in an object's velocity changing since velocity is the change in an object's position over time, and a change in velocity means the object is experiencing acceleration.
Conversely, an object has zero acceleration when it either remains stationary or moving at a constant speed in a straight line. In both of these scenarios, the velocity of the object is constant, so there is no acceleration.
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Use the concept of inertia to explain why Newton’s first law of motion is accepted as true
There is a bell at the top of a tower that is 40m high. The bell weighs 12kg. The bell has ___________________ energy. Calculate it.
Answer:
Potential
Explanation:
hope this helps
The pendulum is a thin ring with a radius of R 10 cm and a mass of m 500 g, suspended on a weightless thin rod with a length of l 0.4 m. Determine the moment of inertia of the pendulum relative to the axis around which the oscillations occur
The moment of inertia of the pendulum is determined as 0.0025 kgm².
What is moment of inertia?
The moment of inertia of an object is defined as a measurement the rotation of the object around a fixed axis.
The pendulum can be modelled as a circular disk and the moment of inertia is calculated as follows;
I = ¹/₂Mr²
where;
M is mass of the pendulumr is the radius of the pendulumI is the moment of inertia of the pendulumSubstitute the given parameters and solve for the moment of inertia of the pendulum.
I = 0.5 X 0.5 kg x (0.1)²
I = 0.0025 kgm²
Thus, the moment of inertia of the pendulum is determined as 0.0025 kgm².
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Express the integral as a limit of riemann sums using right endpoints. do not evaluate the limit. 3 6 x2 dx 1 find the width of each subinterval in terms of n.
The integral as a limit of Riemann sums using right endpoints is =lim (n→∞) n ∑i=1[(ln(1+(4+8i/n)2)−sin(4+8i/n))8/n].
Definite integralThe definite integral is defined here in terms of its limit.
So the definite integral goes as follows.
∫f(x)dx= lim(n→∞) n∑i=1 f(xi)Δx.
Where, for each positive integer n, we let Δx=(b−a) /n
And in case of i=1,2, 3..., n, we let xi=a+iΔx.
For Δx
For each n, we get
Δx=(b−a)/n= (12−4)/n=8/n
For xi
Xi = a+iΔx = 4+i8/n=4+8i/n
For f(xi)
∫124 [ln(1+x2) −sin x] dx
=lim (n→∞) n ∑i=1[(ln(1+(4+8i/n)2)−sin(4+8i/n))8/n]
What is integral?The Riemann integral, developed by Bernhard Riemann, was the first exact formulation of the integral of a function over an interval in the field of mathematics known as real analysis.
It was presented to the faculty at the University of Göttingen in 1854, but it wasn’t until 1868 that it was published in a journal.
The Riemann integral can be found using the calculus fundamental theorem for a variety of functions and real-world situations, or it can be roughly approximated using numerical integration.
The Riemann integralThe Riemann integral can be thought of as the limit of a function’s Riemann sums as the finer the partitions are.
The function is referred to as being integrable if the limit exists (or more specifically Riemann-integrable). By making the partition fine enough, the Riemann sum can be brought as close as desired to the Riemann integral.
The mesh of the partitions must, among other things, get smaller and smaller until, at the limit, it is zero.
If this were not the case, then on specific subintervals, we would not be receiving a fair approximation to the function. Actually, this is sufficient to define an integral.
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What is the volume of a gold nugget that weighs 2.20 kg? the density of gold is 19 g/cm3.
According to the calculation the volume of gold = 115.79ml
What is a density unit?density is the mass of the material substance per unit volume. d = M/V, in which d is density, M is weight, and V is volume, is the formula for density.
The formula for calculating density is the weight of such an object multiplied by its volume. The mathematical formula for this is d = m/v, where s t stands for density, m for mass, and v for the volume of the item.
According to the given Data:Mass of gold nugget = 2.20 kg
= 2.20 x 1000
= 2200g
Density of a gold = 19 g/cm^3
= 19 g /mL
Substituting the value in the formula:
Density = Mass / Volume.
volume = mass / density
volume = 2200 g / 19 g/mL
= 115.79ml
According to the calculation the volume of gold = 115.79ml
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Approximately how many women in the sample have a body temperature lower than 98 degrees fahrenheit?
In the sample, 15 women have body temperatures that are lesser than 98 degrees Fahrenheit.
The correct option is D.
What is Graph?In mathematics, and much more specifically through the graph theory, a chart is a structure that essentially consists of a set of objects, some of which are paired together to form "related" objects. The related pairs of vertices are known as edges, and the objects are equivalent to mathematical abstractions known as vertices.
What purposes does a graph serve?Graphs are frequently used to visually represent data relationships. Data that are too numerous or complex to be adequately described in the text and in a smaller amount of space are presented using graphs.
What do graph types mean?Graphs come in a variety of shapes and sizes, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.
According to the given information:As we can see in the graph:
In class limit 96-97 = 3
In class limit 97-98 = 12
Therefore, 3+12 = 15
Approximately 15 women.
In the sample, 15 women have body temperatures that are lesser than 98 degrees Fahrenheit.
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I understand that the question you are looking for is:
This histogram shows body temperatures, in degrees Fahrenheit, for 65 healthy adult women. frequency 40 97 98 99 temperature 100 101 Approximately how many women in the sample have a body temperature lower than 98 degrees Fahrenheit?
A. 45
B. 50
C. 20
D. 15
a large armadilo started at 23 meters and ended at 56 meters. It took 33.4 seconds to get there
calculate the change in X:
[tex]Δx[/tex]
calculate the velocity of the armadilo:
The change in distance of the armadillo is 33 m and the velocity of armadillo is 0.99 m / s
We know that,
v = Δx / t
Δx = [tex]x_{2}[/tex] - [tex]x_{1}[/tex]
where,
Δx = Change in distance
v = Velocity
t = Time
[tex]x_{2}[/tex] = Final position
[tex]x_{1}[/tex] = Initial position
Given that,
[tex]x_{2}[/tex] = 56 m
[tex]x_{1}[/tex] = 23 m
t = 33.4 s
Δx = 56 - 23 = 33 m
v = 33 / 33.4
v = 0.99 m / s
Change is distance is the amount of distance between initial and final positions. It is denoted using Δx.
Therefore, the change in distance of the armadillo is 33 m and the velocity of armadillo is 0.99 m / s
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Your friend john is 20.0 meters away from you and he is running away from you at 5.0 m/s. you sprint at 7.0 m/s to catch up. how long will it take you to reach him? _______ s
If John is 20.0 meters away from me and he is running away from me at 5.0 m/s. I sprint at 7.0 m/s to catch up. Then, I will take 10 seconds to reach him.
We know that,
Speed = Distance / Time
Time = Distance / Speed
Given that,
My speed = 7 m/s
John's speed = 5 m/s
Distance I need to cover to catch up John = ( 20 + x ) m
Distance John will cover before I catch up to him = ( x ) m
Since the time taken by both of us to reach that point is same,
( 20 + x ) / 7 = x / 5
100 + 5x = 7x
2x = 100
x = 50 m
Time required = Distance / Speed = 50 / 5
Time required = 10 seconds
It will take me 10 seconds to reach John.
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The potential at points a and b are: va = -2 v and vb = 6 v. when a 5 c charge is moved from a to b, the change in potential energy of this system is:__________
This system's potential energy changed by 40 J.
Energy = charge * potential difference
=> Energy = (8v)*5
=> Energy = 40 J
Hence the answer is 40 J.
What is potential difference?Potential difference, often known as voltage, is equal to the amount of current times the resistance. One Joule, or one Volt, of energy is required for one Coulomb of charge to flow from one place in a circuit to the another.
What is the formula for the potential difference?V=U q, The change in the potential energy of a charge q transported from point A to point B, divided by the charge, is what is used to determine the electric potential difference between points A and B, or VBVA. The joules per coulomb unit of the potential difference is called the volt (V).
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Explain why the properties of polycrystalline materials are most often isotropic?
Most polycrystalline materials consist of randomly arranged crystals or "grains." Although individual grains have different orientations and behave anisotropic ally by themselves that's why the properties of polycrystalline materials are most often isotropic.
What are polycrystalline materials?Polycrystalline materials, or polycrystals, are solids that are made out of numerous crystallites of shifting size and direction. Most materials are polycrystalline, made of countless crystallites kept intact by meager layers of shapeless strong. Most inorganic solids are polycrystalline, including all normal metals, numerous earthenware production, shakes, and ice. The crystallite size can be determined from the full width at half most extreme force (FWHM) estimated on the adjusted diffraction profile. The guideline of crystallite size estimations by x-beam diffraction depends on the way that the Fourier change of various size crystallites shifts contrarily with the size of the crystallite.
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Diiodine pentaoxide is used as an oxidizing agent that converts carbon monoxide to carbon dioxide. what is its chemical formula?
The chemical formula of diiodine pentoxide is I2O5.
The chemical compound with the formula I2O5 is known as iodine pentoxide. The only stable iodine oxide is this one, which is the anhydride of iodic acid. It is made by dehydrating iodic acid in a stream of dry air at 200 °C.
2HIO3 = I2O5 + H2O.
At ambient temperature, iodine oxide (I2O5), which is created by dehydrating iodic acid (HIO3), is a white, crystalline solid that is stable up to 300°C (573K). I2O5 is a potent oxidizer. Its structure is described below. Iodine pentoxide is an oxidizing agent that transfers oxygen atoms to substrate. It functions as an oxidizing agent and speeds up the oxidation process by transferring oxygen atoms.
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If an electron begins from rest and is accelerated by a field of 0.060 n/c, what is its speed when it collides with a metal atom?
The speed when it collides with a metal atom = 27.5m/s
What is kinetic energy?A particle or item in motion has a form of energy called kinetic energy. When work, which entails the energy transfer is done on an object by applying a net force, that object acquires kinetic energy.
In the electric field, the electron loses potential energy while gaining kinetic energy. You may calculate the kinetic energy as
[tex]K=\frac{m_e v^2}{2}=e E d[/tex]
Here,
[tex]\text { } m_e=9.11 \cdot 10^{-31} \mathrm{~kg}[/tex] is the mass of the electron;
[tex]e=1.6 \cdot 10^{-19} C[/tex] is the charge of the electron;
E is the electric field;
The distance that an electron travels is called d;
When we solve for the electron's speed, we arrive at:
[tex]v=\sqrt{\frac{2 e E d}{m_e}}[/tex]
Calculate yields:
[tex]v=\sqrt{\frac{2 \cdot 1.6 \cdot 10^{-19} C \cdot 0.060 N / C \cdot 3.6 \cdot 10^{-8} \mathrm{~m}}{9.11 \cdot 10^{-31} \mathrm{~kg}}} \approx 27,5 \mathrm{~m} / \mathrm{s}[/tex]
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A certain sample of the mineral galena (lead sulfide) weighs 12.4 g and has a volume of 1.64 cm3 . what is the density of galena?
The density of galena is 7.56 g/cm³.
We need to know about the density to solve this problem. Density can be described as how much the mass is in a volume unit. It can be written
ρ = m / V
where ρ is density, m is mass and V volume
From the question above, we know that
m = 12.4 g
V = 1.64 cm³
By substituting the given parameter, we can calculate the density
ρ = m / V
ρ = 12.4 / 1.64
ρ = 7.56 g/cm³
Hence, the density of galena is 7.56 g/cm³.
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What is the difference between contact forces and non-contact forces?
Here is the difference between contact forces and non-contact forces:
Contact forces are forces that result from two objects coming into physical contact with each other. Non-contact forces are forces that result from the interaction of objects that are not in contact with each other.
Ernest rutherford was a prominent scientist who contributed significantly to the theory of atomic structure. True or false?.
Ernest rutherford was a prominent scientist who contributed significantly to the theory of atomic structure. Yes, the following statement is true.
Ernest Rutherford is considered one of the greatest scientists and experimentalists who worked on the atomic model and is also known for his contribution to nuclear physics.
he discovered that an atom is composed of three fundamental particles i.e. electrons, protons, and neutrons.
Most of the spaces are empty in an atom while its all mass is confined in a dense positively charged area called the nucleus.
Moreover, he also discovered alpha and beta radiations emitting from uranium.
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Collin is doing research on animals that camouflage to see what type of camouflage pattern is best for the military to use. what type of research is this? applied descriptive quantitative experimental
Answer: applied
Explanation:
A record is declared as follows: the first letter in the first name is stored in location 1000. each letter takes one location and an integer takes two locations. what is the address of last[2]?
1012, a record is declared as follows: the first letter in the first name is stored in location 1000. Each letter takes one location and an integer takes two locations.
Multiplication and Division of Integers: the merchandise of a positive integer and a negative integer is negative: the merchandise of two positive integers is positive. The product of two negative integers is positive.
They are important because they assist to facilitate certain calculations by including integer negative numbers. In addition, they also include all negative and positive numbers without a percentage point.
The whole numbers are real numbers that don't have fractions, decimals, and negative numbers. It's neither positive integer nor negative. Zero obeys the rule of whole numbers. Positive numbers are greater than 0 and located to the proper of 0 on the variety line.
Negative numbers are but 0 and located to the left of 0 on the variety line. The quantity zero is neither positive nor negative. Zero is neither positive nor negative. It's the sole number with such characteristics.
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What is the term for the specific set of equations that describe motion in terms of acceleration, displacement, time, and velocity?
The specific set of equations that describe motion in terms of acceleration, displacement, time, and velocity are given as,
v = u + at.
v² = u² + 2as.
s = ut + ½at²
where, v is final velocity, u is initial velocity, t is time , s is displacement , a is acceleration. The above equation shows the equations of linear motion .
The acceleration is defined as ,the change in velocity (Δv) over the change in time (Δt), The unit is [tex]m/s^{2}[/tex]
acceleration (a) = Δv/Δt.
The velocity is defined as the rate of change of displacement .The unit is given by m/s.
Δv= Δx/Δt
In the above equation, Δv is change in velocity, Δx & Δt are the change in distance and time respectively.
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