Four systems of equations are 1) Graphical system 2) Elimination method system, 3) Substitution system 4) Cross multiplication system. These systems or methods are used to solve an equation.
Graphical method: To solve linear equations graphically, first draw the graph for both equations in the same coordinate graph and locate the intersection point on the graph.
Elimination method: In this method, any of the coefficients is first eliminated by equating. After eliminating the coefficient, the equations are resolved to get the other equation. For example:
3x + 2y = 9 ———–(i)
x – y = 6 ———–(ii)
Here, if equation (ii) is multiplied by 3, the coefficient of “x” will become the equal and can be eliminated.
So, multiply equation (ii) × 3 and then subtract equation (i)
3x + 2y - 9 - 3x-3y-18 = 0
y = -9/5
Now, put the value of y = 1.8 in equation (ii).
So, x – 1.8 = 6
x = 4.2
Substitution method: To solve a linear equation using this method, first, take the value of one variable separately from any of the equations. Then, substitute the value of this variable in the second equation and solve it.
Cross multiplication method: Linear equations can be easily solved using this method. In this technique is used to simplify the solution. Following formula is used for solving 2 variable equation:
x /(b₁ c₂ − b₂ c₁) = y / (c₁ a₂ − c₁ a₁) = 1 /(b₂ a₁− b₁a₂)
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Two small objects, with masses m and m, are originally a distance r apart, and the magnitude of the gravitational force on each one is f. the masses are changed to 2m and 2m, and the distance is changed to 4r. what is the magnitude of the new gravitational force?
The magnitude of the new gravitational force is F' = 32 F when the masses are changed to 2m and 2m, and the distance is changed to 4r.
The universal Gravitational Force can be formulated by, F = G M₁ M₂ / d²
As per the data we know that,
M₁ = m
M₂ = m
d₁ = r
F₁ = F
M₂ = 2m
d = (r/4)
F₂ = ?
i) Original force
F₁ = G (m)(m) / r² = G m² / r² = F
ii) Modified force
F₂ = G (m)(2m) / (r/4)² = G 2m² / (r² / 16) = 32 [Gm² / r²] = 32 F
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What is the potential energy of an object weighing 10 kgs at a height of 10 Mtrs?.
The potential energy of the object is 980 Joule. The result is obtained by using the formula for potential energy.
What is potential energy?Potential energy is the energy of an object due to its position.
The energy of an object in a gravitational field is called gravitational potential energy. It can be expressed as
U = mgh
Where
U = gravitational energym = massg = gravitational fieldh = heightAn object has
Mass, m = 10 kgHeight, h = 10 mFind the potential energy!
The Earth's gravitational field is g = 9.8 m/s².
Using the formula above, we get
U = mgh
U = 10 × 9.8 × 10
U = 980 Joule
Hence, the object has the potential energy of 980 Joule.
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Which of the following best describes the properties of a covalent compound ?
Answer:
The correct answer is C. Low melting point, tendency to share electrons, nonelectrolyte. Covalent compounds are formed by the sharing of electrons between two atoms and they have a low melting point and are non-electrolytes.
Vegetative reproduction i a type of aexual reproduction in which nonreproductive part of an organim can break off and develop into new individual. Which event i an example of vegetative reproduction in plant?
Kalanchoe plants produce plantlets on their leaves is an example of vegetative reproduction in plant.
What is vegetative reproductionVegetative reproduction is a way of asexual reproduction of living things (without the fusion of male and female sex cells). Vegetative reproduction can occur naturally or artificially. In natural animals:
Splitting: Reproduction by dividing usually occurs in lower animals, single-celled animals/protozoa, for example: amoeba and paramaecium. Binary division occurs when an individual divides into 2 new individuals, and is called multiple division (spore reproduction) when an individual splits into many individuals, for example: plasmanium. Parthenogenesis: Breeding where reproduction only involves female gametes without fertilization, for example: Komodo dragons.[2] Fragmentation, namely the way animals reproduce by breaking or cutting their bodies into two or more parts. Then, these body parts will grow into new individuals, for example: Hydra, starfish, flatworms (planaria) and tapewormsYour question is incomplete but most probably your full question was:
Vegetative reproduction is a type of asexual reproduction in which nonreproductive parts of an organism can break off and develop into new individuals. Which event is an example of vegetative reproduction in plants? A. Pine trees produce seeds in cones. B. Mosses form spores in capsules. C. Sunflower plants produce seeds in their flowers. D. Kalanchoe plants produce plantlets on their leaves.
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PLEASE HELP!!!! An 85 kg snowboarder accidentally goes off trail and ends up in the middle of a frozen lake and comes to a stop. He remembers taking physics and learning about conservation of momentum in high school and decides to take off his 10 kg backpack
and throw it as hard as he can since he won't need it from being so smart for passing physics) at a speed of 6 m/s East. At what speed and direction will the snowboarder move after throwing the bag?
Okay, so the snowboarder weighs 85 kg and his backpack weighs 10 kg. He throws the backpack with a speed of 6 m/s to the East.According to the law of conservation of momentum, the total momentum before he throws the backpack is 85 kg * 0 m/s (since he's at rest) and the total momentum after he throws the backpack is 85 kg * x m/s + 10 kg * 6 m/s (since the backpack is moving East with a speed of 6 m/s).To find the snowboarder's new speed and direction, we have to set the total momentum before and after equal to each other and solve for x. So,85 kg * 0 m/s = 85 kg * x m/s + 10 kg * 6 m/sWe can solve for x by subtracting 10 kg * 6 m/s from both sides and dividing by 85 kg.x = -0.7143 m/sSo the snowboarder will move with a speed of -0.7143 m/s (which means he will move in the opposite direction of the backpack) and he will move west.
What are two examples of substances that move into or out of cells by diffusion?.
Examples of substances that can move into or out of the cell by diffusion are water, carbon dioxide, oxygen etc.
A substance tends to move from a high concentration area to a low concentration area during the diffusion process until its concentration is equal throughout a space.
Passive transport involves a substance diffusing down a concentration gradient across a membrane without the cell expending any energy. A concentration gradient is simply a region of space where the concentration of a substance changes, and substances will naturally move down gradients, from higher concentration to lower concentration.
Some molecules in cells can move down concentration gradients by directly crossing the lipid portion of the membrane, while others must pass through membrane proteins in a process known as facilitated diffusion.
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The fastest baseball pitch ever
recorded was by Aroldis
Chapman who threw a ball that
traveled 60 feet in 0.4 seconds.
What was the speed of the ball?
The speed of the ball thrown that traveled 60 feet in 0.4 seconds is 150ft/s.
How to calculate speed?Speed is the rate of motion or action, specifically the magnitude of the velocity i.e. the rate distance is traversed in a given time.
Speed = distance moved (m) ÷ time taken (s)
According to this question, the fastest baseball pitch ever recorded was by Aroldis Chapman who threw a ball that traveled 60 feet in 0.4 seconds. The speed of the ball can be calculated thus;
Speed = 60feet ÷ 0.4s
Speed = 150ft/s
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What is the magnitude of A =- 2i +2j 2k?.
The magnitude for A =- 2i +2j+2k is 2[tex]\sqrt{3}[/tex].
The definition of magnitude in physics is "distance or quantity," which is all there is to it. It displays the motion of an object in motion, including any absolute, relative, or specific sized movements. It can be used to define the size or scope of anything. In physics, the general term "magnitude" is used to describe size or distance.
A number called the magnitude of a force serves as a measure of its strength. Let's say there is a 10 N force coming from the east. "towards east" designates a direction, while "10" denotes the strength of the force. The "value" or "amount" of any physical quantity can be thought of as the magnitude, in other words.
= [tex]\sqrt{a^{2}+b^{2}+c^{2} }[/tex]
[tex]= \sqrt{2^{2}+2^{2} +2^{2} } \\= \sqrt{12} \\= 2\sqrt{3}[/tex]
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Correct Question:
What is the magnitude of A =- 2i +2j+2k?.
A peron trie to heat up her bath water by adding 5. 0 L of water at 95 C to 60 L of water at 20 C. What i the final temperature of the bath water
The water bath has a starting temperature of (18 0.5) °C and a finishing temperature of (40 0.3) °C, respectively.
What is the temperature of water bath? Your bath should be heated to a temperature of between 90° F and 105° F (32° C and 40° C), which is just above the usual body temperature.In a uniform enclosure with a fluid that is agitated, a temperature calibration bath can be set to a range of test temperatures. Baths offer superior thermal contact, homogeneity, and stability for temperature sensor calibration by utilising a stirred fluid (such as water, silicone oil, methanol, or ethanol).Since it means to heat liquids or chemicals, the water bath's purpose is obvious from its name. Its purpose is, to put it more plainly, to maintain a consistent temperature in the water for the microbiological analysis procedure of incubation. Between 30 and 100 degrees Celsius can be changed as the water bath's temperature.To learn more about water bath refer to:
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a neuron has a negative electrical charge of about 70 millivolts when it is
What is the rate of change with respect to time Mcq?.
The rate of change (ROC) describes how rapidly something changes over time. It is hence the pace of change (rather than the amount of individual changes) that is important.
What types of data are continuous and take continuous values?Continuous data is data that can have any value. Continuous data include height, weight, temperature, and length. Some continuous data will fluctuate over time, such as a baby's weight in its first year or the temperature in a room during the day.
A continuous variable is one that may take an uncountable or endless set of values.
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What is equal value of 1 kg in Newton?.
1 kilogram is equal to 9.806 newton. A newton is equal to 1 kg/m2/s2 (it is a derived unit which is defined in terms of the SI base units).
The force required to accelerate one kilogrammes of mass at a rate of one meter per second squared in the direction of the applied force is consequently one newton. The term "meter per second squared" refers to the rate of change in velocity per unit of time, or the acceleration of velocity by one meter per second.
Isaac Newton inspired the naming of the newton. Like every SI unit named after a person, Newton's sign begins with an upper case letter (N), but when written in full, it adheres to the common noun capitalization rules, which means that "newton" is capitalized at the start of sentences and in titles but otherwise is written in lower case.
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A 89.3 kg man sits on the stern of a 5.8 m long boat. The prow of the boat touches the pier, but the boat isn’t tied. The man notices his mistake, stands up and walks to the boat’s prow, but by the time he reaches the prow, it’s moved 4.17 m away from the pier.
Assuming no water resistance to the boat’s motion, calculate the boat’s mass (not counting the man).
Answer in units of kg.
The mass of the boat is 124.2 kg.
What is the mass of the boat?The mass of the boat is calculated by applying the principle of conservation of linear momentum as follows;
momentum of the man = momentum of the boat
m₁v₁ = m₂v₂
where;
m₁ is the mass of the manm₂ is the mass of the boatv₁ is the speed of the manv₂ is the speed of the boatSince speed is directly proportional to distance, our new equation becomes;
m₁d₁ = m₂d₂
m₂ = ( m₁d₁ ) / ( d₂ )
m₂ = ( 89.3 x 5.8 ) / ( 4.17 )
m₂ = 124.2 kg
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the angle of incidence is equal to the angle of reflection
Because the light beam chooses the shortest path to its destination, the angle of incidence equals the angle of reflection. Fermat's principle refers to this behaviour of light. When a light beam is reflected off a planar surface, it exhibits the same behaviour.
Is the angle of incidence always equal to the angle of reflection?According to Fermat's theory of light behaviour, a light beam always chooses the shortest path to its target. At the point of reflection, the same behaviour is observed. The angle of incidence equals the angle of reflection when a ray is reflected from a plane.
Angle of incidence equals angle of reflection at a small surface area.
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If all the components of a vector are equal to 1, then that vector is a unit vector. True or False?
The statement is untrue since a vector is not a unit vector if all of its components are equal to 1.
Do all the elements of a unit vector have the value 1?
A unit vector is one with a magnitude of 1. It also goes by the name Direction Vector. Learn more about vectors here. Vector v = (1,3), for instance, is not a unit vector.
What is the unit vector's truth?
Since the denominator and numerator both have the same value, the unit vector has a magnitude of 1. Only direction exists in the unit vector. We are aware that a vector must have both magnitude and direction.
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How does this image portray the relationships between voltage, current and resistance Law?
The image shows that the voltage affects the current and so does the resistance.
What does the image mean?We know that the relationship between the voltage and the current can be obtained by the use of the Ohm's law. From the Ohm's law, we can see that;
V = IR
V = voltage
I = current
R = Resistance.
In this case, the resistance can be looked upon as the constnat of the proportionality. Based on the image, we can see that the current is related to the voltage and that the resistance also affects the current.
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How do you convert kg to mass?.
A conductor of resistance 3 ohm is stretched uniformly till its length is doubled. The wire is now bent in the form of an equilateral triangle. The effective resistance between the ends of any side of the triangle in ohms is?
a) 9/2
b)8/3
c) 2
d)1
Answer:
the correct answer is b 8/3
A 55-kilogram ice skater accelerates across a level ice surface at a constant rate of 0.75 meters per second squared. Determine the magnitude of the weight of the ice skater. Show all work, equations, & units.
The effective weight of the ice skater is 497.75 N.
What is acceleration?Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
The effective weight of the ice skater = mass × net acceleration
= 55 kg × (9.8 m/s² - 0.75 m/s²)
= 497.75 N.
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Which information does a student need to differentiate between the speed and the velocity of a vehicle in motion?
a. The rate of the motion
b. The direction of the motion
c. The change in the amount of motion
d. The amount of distance traveled during motion
An item can move, or can accelerate, slow down (decelerate), stop, or change direction as a result of the action of a force. It is possible to say that a force acting on an item causes that object to accelerate because any change in velocity is regarded as acceleration.
What knowledge is required for a pupil to distinguish between a moving object's speed and velocity?
Speed is the rate at which motion changes, or the distance that an item moves in a given amount of time, regardless of direction. Speed with regard to direction is defined as velocity. Velocity is a vector, whereas speed is a scalar.
In contrast to speed, which of the following best represents a velocity?
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.
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The service disconnecting switch for an installation consisting of a limited load on a single branch circuit shall have a rating of not less than ? .
The service disconnecting switch for an installation consisting of a limited load on a single branch circuit should have a rating of not less than 15 ampere.
A service disconnecting switch is a device which disconnects all the conductors of the system from the main source of supply. The limitation of current is due to the high heat produce. As heat in a conductor is a function of current. Like: H = i²Rt
Where I is the current, R is the resistance of the device, and t is the time of current flow. We can see by the formula that heat is directly proportional to the square of the current. More is the current more will be the heat produced.
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an electrostatic force, f, exists between two charges. if the distance between the charges is doubled, what is the force between the charges?
The magnitude of the Electrostatic force is proportional to the square of the distance between the two charges. As a result, doubling the distance between the two charges reduces the attraction or repulsion to one-fourth of its original magnitude.
If the distance between objects is doubled, the force of attraction is 1/4.
If the distance between objects is doubled, the force between objects is quartered. If the distance between objects is tripled, the force between them is 9 times smaller. If the masses of both bodies double, the force between them quadruples.
Electrostatic force is a non-contact force. They pull and push things without touching them. When some materials rub against each other, something called a "charge" can move from one surface to another. Charged objects attract other uncharged objects and can push or pull other charged objects.
As the distance between two charges increases, the repulsive force between them decreases. For equal charges, the electrostatic force decreases as the distance between the two charges decreases.
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The tuning fork one please
The frequency of this wave is 15Hz. so, option (c) is correct. This indicates the size of the frequency is the turning fork vibrates 320 times every second.so, option (d) is correct.
What is frequency?
The number of waves that pass through a fixed location in a specific amount of time is known as frequency. As a result, if a wave travels for 1/2 second, the frequency is 2 per second.
What is wave?
A disturbance or variation that causes energy to gradually move from one point in a medium to another. It can be in the form of an elastic deformation or a change in pressure, electric or magnetic intensity, electric potential, or temperature.
Therefore, frequency of this wave is 15Hz. so, option (c) is correct. This indicates the size of the frequency is the turning fork vibrates 320 times every second.so, option (d) is correct.
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How many moles are in 1gm?.
One mole is made up of 6.022*10^23(standard mole value) atoms or other fundamental building blocks, such as molecules.
The mole, also referred to as mol, is a SI unit used to determine the quantity of particles in a specific substance. The molecular weight of a particular compound is 6.022 x 10^23. (such as atoms, molecules, or ions). Mass and particle quantity can be converted using the mole concept.
Avogadro's number, or the number in a mole, is influenced by the ratio of atomic mass units to grams. In relation to the mass of one hydrogen atom, which is approximately one unit, a mole of hydrogen atoms weighs around one gram. Avogadro's constant or "Avogadro's number" is referred to as 6.022 10^23.
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why is ultrasound monitoring of fetuses similar to mapping the seabed
Answer:
Ultrasound monitoring of fetuses and mapping the seabed are similar in that they both use sonar technology to create images.
Explanation:
Ultrasound monitoring uses high-frequency sound waves to create images of the developing fetus inside the womb. The sound waves are sent out by a transducer and are reflected back to create an image of the fetus, similar to how sonar sends out sound waves and receives the echoes to create an image of the seabed.
Mapping the seabed uses sonar technology to create images of the seafloor. Sound waves are sent out by a transducer and are reflected back by the seafloor, creating an image of the seabed. The time it takes for the sound waves to return is used to determine the depth of the seafloor.
Both ultrasound monitoring and mapping the seabed use the principle of echolocation, which is the ability to locate objects by reflecting sound waves off them and measuring the time it takes for the echoes to return.
In summary, both ultrasound monitoring and mapping the seabed use sonar technology to create images by sending out sound waves and receiving echoes, which is the principle of echolocation.
Explanation:
both are actually using the principle of sonar basically involves sound waves ,bouncing doing waves and measuring effectively the echoes mm hmm for ultrasound well.
A person exerts a force on a box that is at rest on the Earth. The arrows
in the diagrams shown represent the direction of the applied force. Does
the gravitational potential energy of the box change in case A?
Gravity operates as the action force, pulling the book toward the table, and the normal force of the table, acting as the reaction force, pushing the book higher.
What is meant by gravitational potential energy?A massive object's potential energy in relation to another massive object because of gravity is known as gravitational energy or gravitational potential energy. The energy that is released when the items fall toward one another is the potential energy associated with the gravitational field.
The potential energy associated with gravitational force is known as gravitational energy because it takes effort to lift items out of the gravitational pull of the Earth. Water in an elevated reservoir or kept behind a dam is evidence of gravitational potential energy, which is the potential energy resulting from elevated locations.
The book is being pulled toward the table by gravity, which acts as the action force, and is being pushed upward by the table's normal force, which acts as the reaction force.
When an object is present in a gravitational field, it has or can acquire gravitational potential energy, which is the energy that results from a change in position. Gravitational potential energy is an energy that is connected to gravitational force or gravity, to put it simply.
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Does mass change with gravity?.
Yes, mass does change with gravity. The mass of an object is affected by the gravitational pull of the environment around it. The greater the gravitational pull, the higher the mass of the object.
This is because the object is being pulled closer to the source of gravity and thus its inertia increases, resulting in an increased mass. For example, if we were to compare two objects, one on the Earth’s surface and one on the Moon, the object on the Earth’s surface would be heavier due to the greater gravitational pull of the Earth. This is because the gravitational pull is stronger on the Earth than on the Moon, and thus the object on the Earth is being pulled closer to the source of gravity.
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what process introduced oxygen into the atmosphere?
Through photosynthesis process introduced oxygen into the atmosphere.
What is photosynthesis?Jan Ingenhousz was a Dutch-born British physician and scientist who was most famous for discovering photosynthesis, the process by which green plants in sunlight absorb carbon dioxide and release oxygen. He was born on December 8, 1730, in Breda, the Netherlands, and died on September 7, 1799, in Bowood, Wiltshire, England. The process through which plants convert carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis. The vast majority of life on Earth depends on photosynthesis to survive. It is how almost all of the biosphere's energy is made accessible to living beings.
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What are the three formulas of Newton's law of motion?.
Three formulas of newton's law of motion are:- a) v = u + at, b) S = ut +0.5at² c) v² = u² + 2as
Newton's first law of motion defines the relation between final velocity(v) of an object after some time(t), if the initial velocity of the object is u and acceleration is a.
v = u + at
Newton's second law of motion is used to determine the distance(S) travelled by an object in accelerated motion for time(t), having an initial velocity u.
S = ut +0.5at²
Newton's third law gives the relationship between, final, initial velocities, acceleration(a), and the distance(s) travelled by the object.
v² = u² + 2as
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A golf ball increases its momentum by 6.75 kg m/s. The impact between the ball and club lasted for 0.0025 s. How much force acted on the ball from the club?
The force acted on the golf ball is 2,700N.
How to calculate force?Momentum in physics is the tendency of a body to maintain its inertial motion i.e. the product of its mass and velocity, or the vector sum of the products of its masses and velocities.
According to this question, a golf ball increases its momentum by 6.75 kgm/s. The impact between the ball and club lasted for 0.0025s.
Force is the rate at which momentum changes with respect to time i.e. (F = dp/dt).
Force = 6.75kgm/s ÷ 0.0025s
Force = 2,700N
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