Match the math problem to the correct equation you would use to solve it

One-half second after starting from rest, a freely falling object will have a speed of about 5 m/s.

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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More solar energy reaches the equatorial regions than the polar regions, because of spherical shape of the Earth, sunlight falls on different parts at different angles. The sun rays falls on the equator directly and focused therefore, the regions are hotter and warmer. The polar regions receive diffused sun rays, so that the areas there are colder.

The type of energy generated by the sun is known as the solar energy. Solar energy is created by nuclear fusion that takes place in the sun. Fusion occurs when protons of hydrogen atoms violently collide in the sun's core and fuse to create a helium atom.

The power of Sun and Stars can be assumed by the process of nuclear fusion reaction. In a fusion reaction, two light nuclei merge to form a single heavier nucleus. The process releases energy because the total mass of the resulting single nucleus is less than the mass of the two original nuclei. The leftover mass becomes energy.

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The anterior part of the calvarias, the forehead, and the roof of the orbits receive contributions from the Frontal bone

In humans, the frontal bone is an odd, central, symmetrical and flat bone of the skull, located in the antero-superior part of the skull, with two faces (endocranial and exocranial) and a circumferential border. It is part of three regions of the head: the forehead, the orbit and the nose.

It makes up for the smooth curvature of the forehead and protects important structures such as the frontal lobe of the brain and the horizontal lamina of the ethmoid bone that makes the sense of smell possible.

It is the science or branch of biology that studies the structure of living beings in their evolutionary stages. Anatomy is subdivided into: plant and animal.

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The correct answer is 0.75 liters.

One liter of soda produced 250 ml of beverage.

1 liter is equal to 1000 milliliters.

250 ml was consumed, or 250/1000 or 0.25 liter.

There was 1 - 0.25 liters of soda left

0.75 liter of soda was left and the correct answer is 0.75 liter.

Four glasses of water make up one liter, to be precise.

Let us understand this using the following explanation. Despite the fact that there is no set standard size for glasses, their capacity varies. In contrast, we calculate that a liter holds 32 ounces and a glass holds 8 ounces of water.

Convert the object's dimensions into centimeters before performing the volume calculation in litres. Next, determine a shape's volume using the volume formula. For instance, you could use Volume = length times width times height to determine the volume of a cube, and the result would be in cubic centimetres.

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Answer:

Explanation. analysis, inference, and evaluation.help you to solve your problem as well as by using it you can develop scientific and critical thinking skills among students

Parallels of Latitude measure the distance north and south of the Equator.

The distance north or south of the equator is measured by latitude. 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. At 0 degrees latitude, the equator is midway between the North Pole and the South Pole.

The world is divided into two halves by an equator: the Northern Hemisphere and the Southern Hemisphere. The Earth's equator is the widest point on the planet. The circumference of the Earth, measured at the Equator, is 40,075 kilometres (24,901 miles).

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The frequency of the mice with brown fur is 0.77.

Using the Hardy-Weinberg Principle, we can find out the frequency of occurrence of alleles of a gene or a locus.

The algebraic equation for Hardy-Weinberg Principle is,

p^2 + 2pq + q^2 = 1

Here, p^2 represents the frequency of the dominant allele

q^2 represents the frequency of the recessive allele

2pq represents the frequency of heterozygotes

Out of 200 mice, 120 have brown fur and brown fur is the dominant allele.

Thus, the frequency of brown fur is

p^2 = 120/200 = 0.6

p = 0.77

Hence, the frequency of the mice with brown fur is 0.77.

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Answer:

4.6 s, because that is the time for the object to reach the top of the incline.

Explanation:
that at the top of the incline, the horizontal velocity will be equal to the launch velocity, because there is no longer any force acting on the object in the horizontal direction. The only force acting on the object is gravity, which is acting in the vertical direction. So the only velocity that will be changing is the vertical velocity. The vertical velocity will be changing because of the force of gravity, which is 9.8 m/s2. The equation for the vertical velocity is: vf = vi + a*t, where vf is the final velocity, vi is the initial velocity, a is the acceleration and t is the time. The final velocity in this case is 0 m/s, because the object has reached the top of the incline and is no longer moving in the vertical direction. The initial velocity is 10 m/s, because that is the launch velocity. The acceleration is 9.8 m/s2, because that is the force of gravity. So when you plug all of those values into the equation, you get: 0 = 10 + 9.8*t and you solve for t and you get t = 4.6 s.

There are 56.2 x 10^-6kg or in simple terms 0.0000562 kg in 56.2mg.

This can be explained as 1 kg = 10^6 mg

Or if you want to even simplify it much further, it can be deduced by

1 kg = 1000g and 1 g = 1000mg

This means 1 kg = (1000 x 1000) mg

Which means 1 kg = 1000000 mg or 10^6 mg.

So, to answer this question we have to reverse the process we have done here.

This means 1 kg = 10^6 mg

Which implies 1mg = 1/ 10^6 kg

Or it can be written as 1 mg = 10^-6 kg

So, 56.2 mg = 56.2 x 10^-6 kg and that is your answer.

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The order of the positive and negative feedback loops are positive, positive, negative, positive, positive, negative.

A system component known as a feedback loop is one in which all or a portion of the output is used as input for subsequent actions. A minimum of four phases comprise each feedback loop. Input is produced in the initial phase. Input is recorded and stored in the subsequent stage. Input is examined in the third stage, and during the fourth, decisions are made using the knowledge from the examination.

Both negative and positive feedback loops are possible. Insofar as they stay within predetermined bounds, negative feedback loops are self-regulating and helpful for sustaining an ideal condition. One of the most well-known examples of a self-regulating negative feedback loop is an old-fashioned home thermostat that turns on or off a furnace using bang-bang control.

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Using this formula m=W/g, the mass of an object if its weight on earth is 1150N is 117.347 kg

Let mass of an object be m, weight be W and acceleration due to gravity is g.

From the formula m=W/g

mass m =?

weight w = 1150N

g=9.8 m/[tex]s^{2}[/tex]

So,  the mass of an object if its weight on earth is 1150N will be calculated as:

m=1150/9.8

m=117.347 kg

Hence using the formula m=W/g, the mass of an object if its weight on earth is 1150N will be 117.347 kg.

This is in acceptance with Newton's laws of motion as well and thus calculated according to given formula.

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If one object has a greater speed than a second object, the first not necessarily have a greater acceleration.

Acceleration is the rate of change of velocity. An object can have a greater speed but with zero acceleration if the velocity is constant.

For example, Consider a driver A driving his car at a constant speed of 60 Kmph. and crosses another driver B. Consider driver B at rest the moment the driver A crosses him. But the driver B drives faster than the driver A and catches up with driver A even though the driver A was driving at 60 Kmph when the driver B just started driving from 0 Kmph.

Therefore, if one object has a greater speed than a second object, the first not necessarily have a greater acceleration.

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Answer:

daughter has the greater speed

Explanation:

hopefully this helps

The approach that makes use of rational and systematic reasoning to answer the great questions of life and existence is known as:

Socratic method.

The socratic method Worst drive from the Greek philosopher socrates.

It is a method of hypothesis elimination in that we found quickly identifying and eliminating those leads to contradictions.

This method is also known as elenctic method, socratic debate

Socrates applied his method of examination generally to find the concepts that seems to lack any concrete definition.

socratic method is also known as question answer method.

in his case this personal investigation arguments assume a form of dialogue that's why we said it question answer method.

The approach that makes use of rational and systematic reasoning to answer the great questions of life and existence is known as:

Socratic method.

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The range of each Amazon box is determined as 1.59 m.

The time of motion of the amazon box is calculated as follows;

h = vt + ¹/₂gt²

where;

h = ¹/₂gt²

t = √(2h/g)

t = √(2 x 1.4/9.8)

t = 0.53 second

The horizontal distance traveled by the amazon box is known as the range and it is calculated as follows;

R = Vₓt

where;

R = 3 m/s x 0.53 s

R = 1.59 m

Thus, the range of each Amazon box is determined as 1.59 m.

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The correct option is D.

The Kinetic Energy and The Potential Energy are perfectly anti-correlated.

Kinetic energy and potential energy are two types of energy that are frequently found in mechanical systems and are referred to as mechanical energy in physics. The idea of mechanical energy conservation is based on an even more general principle known as the law of conservation of energy; the main distinction is that in mechanical energy conservation, all the system's energy is either in the form of kinetic energy, potential energy, or both. A restoring force in a harmonic oscillator works in the direction of an equilibrium point. Simple harmonic motion, which we refer to as repeating the motion, is produced by the force. The system's mechanical energy, which includes both potential and kinetic energy, is ideally constant. In actuality, the energy is preserved by allowing one quantity to grow when the other shrinks, and vice versa. An anti-correlation is a term that describes a negative correlation.

To summarize the kinetic energy and potential energy in a harmonic oscillator are perfectly anti-correlated. The correct option is D.

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The supply curve measures quantity supplied on the horizontal axis and price on the vertical axis.

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By using electromagnetic waves, the frequency of radiation is 3.09 x 10¹⁴ Hz.

We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as

c = λ . f

where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.

From the question above, we know that

λ = 970 nm = 970 x 10¯⁹ m

By substituting the given parameter, we can calculate the frequency of radiation

c = λ . f

f = c / λ

f = 3 x 10⁸ / 970 x 10¯⁹

f = 3.09 x 10¹⁴ Hz

Hence, the frequency of radiation is 3.09 x 10¹⁴ Hz.

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By using uniform motion, the distance traveled by the car is 216 m.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

vo = 15 m/s

vt = 21 m/s

t = 12 s

Find the acceleration

vt = vo + a . t

21 = 15 + a . 12

12a = 6

a = 0.5 m/s²

By using the third equation, we can calculate the distance

s = vo . t + 1/2 . a . t²

s = 15 . 12 + 1/2 . 0.5 . 12²

s = 180 + 36

s = 216 m

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The degree of the elevation is 3.3

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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.

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.

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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The pressure would increase as per Charle's Law, therefore the correct answer is option 4.

It is an imaginary gas for which the volume occupies by it is negligible, this gas does not exist in a practical situation and the concept of an ideal gas is only the theoretical one,

PV = nRT

As given in the problem statement we have to find out if the volume is held constant then what would happen to the gas if the temperature is increased,

For constant volume, the pressure of a gas is directly proportional to the temperature of the gas,

Thus, the pressure would increase as per Charle's Law, therefore the correct answer is option 4.

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The highest precision for determining a particle's position will rise as the maximum accuracy for determining its velocity will fall.

The pace at which an object's position changes as perceived from a particular point of view and as measured by a particular unit of time (for example, 60 km/h northbound) is defined as its velocity. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.

In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction. In the SI, speed is expressed in meters per second (m/s or m/s1), a coherently derived unit (metric system). Speed is the magnitude of a scalar absolute value of velocity.

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After performing gel electrophoresis on the pcr product, you see that one sample has a 200 bp band and the other does not this shows that 200 bp band is significantly larger than the size of primer dimers unless the primers are 100 bp long, they are not visible.

Gel electrophoresis is the process used to evaluate the success of the PCR reaction.A closer examination of the suitability of agarose gel electrophoresis is done for assessing PCR product yield.

PCR is a series of chemical reactions that take place outside a living cell

Use of 2% agarose gel and 100bp marker and spreading the marker strips properly with 80-90V is done to avoid heating.

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Answer: no

Explanation: every action has an equal and opposite reaction

A negatively charged particle released at rest will move towards regions of high potential in this context.

This is defined as the amount of work energy which is required to move a unit charge from one point to another in an electric field.

Negative charges which start from rest, accelerate from regions of low potential and move toward regions of high potential due to the strong Coulomb attraction.

On the other hand, positive charges starting from rest will accelerate from regions of high potential and move towards that of a low potential as a result of it having a weak coulomb attraction which makes it to easily get moved to a potential which has a weak strength.

This is therefore the reason why a higher potential was chosen as the most appropriate choice.

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i don't know.

Explanation:

because i don't want responde

Both balls have the same velocity upon reaching the ground.

                    [tex]\begin{aligned}\\\small K.E +P.E &=\small K.E_1 +P.E_1\\\\\small \frac{mv^2}{2}+mgh&=\small \frac{mV^2}{2}+0\\\\\small V&=\small \sqrt{v^2+2gh}\end{aligned}[/tex]

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In the new orbit, the new perihelion will be closer to the sun and the aphelion will be unchanged.

In an orbiting celestial body, the point of the orbit where it is closest to the sun is called as Perihelion. In an orbiting celestial body, the point of the orbit where it is farthest to the sun is called as Aphelion.

Therefore when a spacecraft is orbiting the sun, and makes a maneuver to slow down at aphelion. then, in the new orbit the new perihelion will be closer to the sun and the aphelion will be unchanged.

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