As shown in the figure below, a seal and shark are playing a fun game of tag. The seal swims
leftward 10 m then dodges rightwards another 20 m. The seal swims a total time of 6

20m

10m

What is the seal's average velocity during the chase?

What is the seal's average speed during the chase?

first calculate the partial derivatives of the two fromulas for each measured variable. Then you calculate the sum of the products of the errors (Dr, DR, and dh) with the squared corresponding partial derivative.and or the deviation

Example for the length of the mantle:

dm/dR = (R-r)/root(w)

dm/dr = -(R-r)/root(w)

dm/dh = h/root(w)

where w = (R-r)²+h². The squared derivatives are

(dm/dR)² = (R-r)²/w

When it comes to statistics and probability theory, standard deviation is used. It demonstrates the accuracy of your data and is used to measure both variability and diversity.

Standard deviation is calculated by taking the square root of the variance. In contrast to a high standard deviation, which indicates that the entered data points are most likely farther from the mean, a low standard deviation indicates that the entered data points are most likely closer to the mean

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The net force on a crate sliding at an unchanging speed when pushed with a steady force of 75 n is zero.

The total of all forces exerted on an object is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion. When there are a lot of forces acting on a system, the term "net force" is employed.

The total force acting on an object is its net force. Newton's second law, which states that F = ma, where F represents the net force, can be used to compute the net force. The object's mass is given by m. Acceleration is a.

The vector sum of all forces acting on an object is known as the net force. As a result of the fact that a force is a vector and that two forces with identical magnitudes and opposing directions cancel each other out, the net force is the sum of all the forces, or put another way, the net force is the sum of all the forces.

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According to the following formula, the answer is 2,300 g or 2.3 kg:

Volume (m)/Mass (m) Equals Density (p) (V)

Here, the density is 1.15 g/mL, allowing the formula described above to result in a mass of 2.00 L:

p=m/V

1.15 g/mL is equal to x g/2.00 L or x g/2,000 mL.

2,000 mL of x g = 1.15 g of g/mL

2.3 kg or 2,300 g for x g.

Its active ingredient is glucose. This medication includes 50 g of glucose per 1000 ml (equivalent to 55 g glucose monohydrate). 50 mg of glucose is present in 1 ml (equivalent to 55 mg glucose monohydrate). A transparent, nearly colourless solution of glucose in water is what is used in glucose intravenous infusion (BP) at 5% weight-to-volume.

Patients who are dehydrated or who have low blood sugar levels get glucose intravenously. Other medications may be diluted with glucose intravenous infusion before being injected into the body. Other diseases and disorders not covered above may also be treated with it.

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The amount of force necessary to stretch a 1.1 m diameter steel wire is 13.82 * [tex]10^{9}[/tex] h N

Young's modulus Y = ( F /A ) / ε

where,

F = Force

A = Area

ε = Strain

Given that,

d = 1.1 m

Y = 2 * [tex]10^{11}[/tex] N [tex]m^{-2}[/tex]

A = 2 π r h = 2 * 3.14 * 0.55 * h

A = 3.454h [tex]m^{2}[/tex]

[tex]l_{2}[/tex] = 1.02 [tex]l_{1}[/tex]

Strain ε = ΔL / L = ( [tex]l_{2}[/tex] - [tex]l_{1}[/tex] ) / [tex]l_{1}[/tex] = ( 1.02 [tex]l_{1}[/tex] - [tex]l_{1}[/tex] ) / [tex]l_{1}[/tex]

ε = 0.02

Y = ( F /A ) / ε

F = 2 * [tex]10^{11}[/tex] * 0.02 * 3.454h

F = 13.82 * [tex]10^{9}[/tex] h N

Young's modulus is a property of material which is used to figure out how easily can a material can be stretched or deformed.

Therefore, the amount of force necessary to stretch a 1.1 m diameter steel wire is 13.82 * [tex]10^{9}[/tex] h N

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It is False in applying the pythagorean theorem to vector addition, the resultant vector is given by the perpendicular vector

A useful technique for figuring out the outcome of adding two (and only two) vectors that form a right angle to one another is the Pythagorean theorem. The technique cannot be used to combine more than two vectors or to combine vectors that are not at a 90-degree angle.

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Answer:

It improves mental clarity allowing you to think better

it allows you to take a break from studying and provides a healthy destressor

Alleviates feelings of stress

Explanation:

Answer: 600 km west

Explanation:

When looking at total distance/displacement, simply add the two given quantities together. Note- in the future, make sure to pay attention to units and directions of components. For example, if it was 100 km east and then 500 km west, your total would be -100 km west + 500 km west, giving you 400 km west.

The lifespan of lemonade is significantly extended if salt is used in place of sugar. In other words, it lasts a lot longer than it would typically.

Despite having a similar appearance, salt and sugar taste considerably differently. Chemically, they differ greatly as well. Salt is an ionic compound comprised of sodium and chloride. Contrarily, sugar contains covalent bonds and is made up of carbon, oxygen, and hydrogen. Similar to adding a pinch of the traditional sodium chloride to baked goods like pies or cakes, adding salt to lemonade can help enhance the sweet flavors and lessen any bitterness that may be present.

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The wavelength of a photon (in nm) emitted when an electron transitions from the n = 3 state to the n = 1 state in the hydrogen atom is 103 nm

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.

There are two energy levels, n1 and n2.

Beginning with Rydberg's equation, write:

The Rydberg is useful for figuring out the wavelength of light emitted when an electron switches from one energy level of an atom to another, for as from higher to lower or lower to higher. When an electron moves from one orbital to another, the energy will change.

1/λ = R(1/n1^2 - 1/n2^2)

1/λ = 1.097 x 10^7 (1/1^2 - 1/3^2)

1/λ = 1.097 x 10^7(8/9)

1/λ = 9/8.776 x 10^7 = 103 x 10^-9 m = 103 nm

Hence, the wavelength of a photon is 103 nm

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The unit of force in metric system is Newtons

A metric system is used for measuring things using units like mm, cm, m and km for length, g and kg for weight, s for time etc.

Newton can be defined as 1 kg m / [tex]s^{2}[/tex].

where,

kg = Kilogram

m = Meter

s = second

As we can clearly see all these units are part of metric system.

Therefore, the unit of force in metric system is Newtons

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An earthquake always begins at the moho.

The surface of the Earth shakes violently during an earthquake. Movements in the topmost layer of Earth are what are causing the shaking.

Although the Earth appears to be a rather stable planet from the surface, it is actually very active beneath the surface. A solid crust, a heated, almost solid mantle, a liquid outer core, and a solid inner core make up the Earth's four basic layers.

Therefore option (a) An earthquake always begins at the moho.

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The Moho is the line in the earth's crust and mantle that separates them. An earthquake still starts at the moho. When two chunks of the ground abruptly slide past one another, an earthquake results.

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On Neptune, the object weight is 168 newton.

We need to know about the weight to solve this problem. Weight can be measured by multiplying mass with gravitational acceleration. It can be written as

W = m . g

where W is weight, m is mass and g is the gravitational acceleration.

From the question above, we know that the parameter given is:

m = 15 kg

g = 11.2 m/s²

By substituting the parameters, we can calculate the weight.

W = m . g

W = 15 x 11.2

W = 168 N

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The scale that would suffer from low Test-Retest reliability when the bathroom scale assesses on measurements in the same day.

Producing a large number of evaluation-focused questions and randomly dividing them into two sets of questions is the most popular method for gauging the dependability of parallel forms. You determine the correlation between the findings after the same respondents respond to both sets of questions.

A measure's reliability is its constancy. Internal consistency, consistency among things, and consistency across different researchers are the three types of consistency that psychologists take into account (inter-rater reliability).

Because it affects the worth of a psychological test or study, reliability is crucial. Its dependability assures value to the psychology field and other fields where it has importance, such as business or education, if test findings are consistent when researchers undertake a study.

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The following statements have italicized word, and has 2 correct  statement and 1 incorrect statement.

a. Taylor's weight is 65 kilograms. : Its correct.

b. I went on a diet and my mass decreased. : Its correct.

c. I went to the Moon and I lost mass, even though I didn't lose any of my matter. : Its incorrect.

The weight is a term shows the mass of the object and the gravity working on it. Example is that a person who feel heavy in earth that same person feel very light on moon cause the gravity will work on that object verry small in comparison to earth.

a. Taylor's weight is 65 kilograms. It is a complete sentence. So its a correct statement.

b. I went on a diet and my mass decreased. : Its correct. Its also a complete sentence. So its a correct statement.

But, c. I went to the Moon and I lost mass, even though I didn't lose any of my matter. This sentence is incorrect because the mass of the person remains same in the moon but the gravity become lesser in the moon so he felt lighter.

So, according to the theory the statement is incorrect.

The correct statement would be:

c. I went to the Moon and I lost weight, even though I didn't lose any of my matter.

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Vector v is [tex]0,27\sqrt{2},27\sqrt{2}[/tex] for the given magnitude and the same direction as u, magnitude direction v = 93 u = 0, 4, 4.

Vector, in physics, a quantity that has both the magnitude and direction. It is typically represented by an arrow whose direction is same as that of the quantity and whose length is proportional to the quantity’s magnitude. Although vector has magnitude and direction, it does not have position. That is, as long as its length is not changed, vector is not altered if it is displaced parallel to itself.

In contrast to vectors, the ordinary quantities that have a magnitude but not a direction are called scalars. For example, displacement, velocity, and acceleration are vector quantities, while speed (magnitude of velocity), time, and mass are scalars.

To qualify as a vector, a quantity having the magnitude and direction must also obey certain rules of combination. One of these is the vector addition, written symbolically as A + B = C (vectors are conventionally written as boldface letters). Geometrically, vector sum can be visualized by placing the tail of vector B at the head of vector A and drawing vector C—starting from tail of A and ending at the head of B—so that it completes triangle. If A, B, and C are the vectors, it must be possible to perform the same operation and achieve the same result (C) in reverse order, B + A = C. Quantities such as the displacement and velocity have this property (commutative law), but there are quantities (e.g., finite rotations in the space) that do not and therefore are not vectors.

Given that,

|v|= 27 and u= 0,4,4

Now unit vector

u= [tex]\frac{u}{|v|}[/tex]=[tex]\frac{0,4,4}{|0,4,4|}[/tex]

  =0,4,4/[tex]\sqrt{0^{2}+4^{2}+4^{2} }[/tex] = 0,4,4/ [tex]\sqrt{32}[/tex]

   =0/[tex]4\sqrt{2}[/tex],4/[tex]4\sqrt{2}[/tex],4/[tex]4\sqrt{2}[/tex]

   =1/[tex]\sqrt{2}[/tex],1/[tex]\sqrt{2}[/tex]

now the vector v in same direction as u means,

v= |v|.u= 27*([tex]0,1/\sqrt{2}, 1/\sqrt{2}[/tex])

Thus,

v= [tex](0,27/\sqrt{2},27/\sqrt{2})[/tex]

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A horizontally applied force of 2400 N will accelerate a 400 kg crate at 1 m/s^2.

In the given diagram, the free body diagram (FBD) of a block is shown.

Here the two vertical forces, normal reaction(N) and weight(W) cancel each other while the horizontal forces do not cancel each other and provide acceleration to the block.

According to the given situation,

Applied Force - Frictional Force = ma

Here the frictional force is half the weight of the body 2000 N.

Putting the given values in the above equation,

F - F1 = 400 x 1

F - 2000 = 400

F = 2400 N

Hence, a horizontally applied force of 2400 N will accelerate a 400 kg crate at 1 m/s^2.

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180,000 metirc tons of water fell on the city.

Since we need to know if we are referring to the body of water on a city or, for example, only a swimming pool, the region must be pertinent. The former would undoubtedly be far greater.

It is possible to conceptualize the amount of water that falls on the city as having dimensions.

2km x9km x1cm

200 000 cm x 900 000 x 1cm

= 1.8x10^11 cm^3

since 1km =10^3m and 1m =100cm

1 gram equals 10-3 kg.

Rainfall weighs 10^-3 kg per 1 cm^3 of water, or 1 gram.

1.8x10^11 x 10^-3= 1.8x10^8

ie 1.8x10^8kg

1 metric ton = 10^3kg so the weight of rainfall in metric tons is

1.8x10^8 / 10^3 = 1.8x10^5

ie 180,000 metirc tons

180,000 metirc tons of water fell on the city.

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the question you are looking for is

A heavy rainstorm dumps 1.0 cm of rain on a city 2 km wide and 9 km long in a 2 hour period.How many metric tons (1 metric ton = 10^3 kg) of water fell on the city? [ 1 cm^3 of water has a mass of 1 gram = 10^3 kg.]

The Mesozoic era's Jurassic epoch featured the lowest CO2 concentrations and temperatures, as well as vast tropical forests devoid of flowering trees.

The correct option is B.

Dinosaurs thrived for 180 million years during the Jurassic Period, which was their heyday. Huge herbivorous and carnivorous sauropods like the 35-foot-long Allosaurus and the 87-foot-long Diplodocus evolved. Imagine yourself sprinting as quickly as you can, and that's how big these beasts were.

Some have proposed that the Triassic-Jurassic extinction may have been brought on by an asteroid or comet impact, similar to an extraterrestrial object that is thought to have contributed significantly to the Cretaceous-Paleogene extinction about 66 million years ago as shown by the Chicxulub crater in Mexico.

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Which period of the Mesozoic era had the lowest temperatures and CO2 levels, and had large tropical forests that lacked flowering trees (but later formed extensive coal deposits)?

a. Triassic

b. Jurassic

c. cretaceous

The analysts at techno infosystems are considering the four-model approach to system development for a new client. if they make use of the four-model approach, the outcome will be the time taken to develop the model increases.

With a commitment to giving Government PSUs, Educational Institutions, and All Organizations across the country a competitive advantage by making current operations efficient & cost-effective, Techno is a brand name of Richa Infosystems Limited, which is working under the government's initiative to support "Vocal for Local."

The speed of techno, a kind of electronic dance music, frequently ranges between 120 and 150 beats per minute and is typically generated for usage in a continuous DJ set. Common time is usually used for the core rhythm, which is frequently distinguished by a repeating four on the floor beat.

Electronic dance music without vocals or a typical popular song structure, with a quick pace and artificial noises.

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Sound travels faster in the air if the air temperature is warm

Everything comes down to the chemical composition of air and sound. Sound molecules travel faster through the air particles in warm air. So, at an air temp of 70°F at sea level, the scientific estimation of the sound speed is 767 mph. Sound, on the other hand, travels the fastest in warmer temperatures air. It moves at 740 miles per hour in subzero temperatures.

Although sound travels slower in cooler air temperatures, it can travel further. The waves are refracted from wallets of warm air and returned to the ground as a result. This sound wave then oscillates between cold and warm air and the surface, causing it to travel further.

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The fast-moving ball will require a greater force to stop than the slow-moving ball of the same mass because the fast-moving ball has more acceleration than the slow-moving ball.

Newton's second law of motion states that "the magnitude of the force acting on an object is equal to the mass of that object and and the acceleration with which it moves.

In other words, the rate of acceleration with which a body moves is directly proportional to the force needed to stop it, and inversely proportional to the mass of the body. Thus, the faster an object moves, the greater the force that will be required to stop it.

That is why the fast-moving ball in the question needed a greater force to stop it than the slow-moving ball, even though they are of the same mass.

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The temperature of the ideal gas is 12.76 K.

We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation

P . V = n . R . T

where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.

From the question above, we know that

n = 1.3 mol

V = 1.30 l = 1.3 x 10¯³ m³

P = 1.05 atm = 1.05 x 1.01 x 10⁵ Pa = 106050 Pa

By substituting the following parameters, we can calculate the temperature

P . V = n . R . T

106050 . 1.3 x 10¯³ = 1.3 . 8.31 . T

T = 137.865 / 10.803

T = 12.76 K

Hence, the temperature of the gas is 12.76 K.

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In a news release, using a consumer who is happy with a particular good or service as a testimonial might be persuasive.

Consumers are described as people or organizations who utilize or consume goods and services. Customers might be consumers or exist solely as customers; they are the buyers of products and services inside the economy.

Businesses may select how to promote their goods and services most effectively by comprehending how consumers think, feel, and make decisions. This aids in predicting consumer behavior and helps marketers promote their already-available goods and services.

Consumer behavior is the study of how consumers choose things based on their needs, wants, and desires as well as how they purchase and utilize them.

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The third object has the most kinetic energy (15.49 joule).

We need to know about kinetic energy to solve this problem. kinetic energy can be defined as the energy of moving object. It can be determined by

KE = 1/2 . m . v²

where KE is kinetic energy, m is mass and v is speed of object.

From the question above, we know that:

m1 = 4.4 kg

m2 = 3.0 kg

m3 = 1.6 kg

v1 = 1.6 m/s

v2 = 3.0 m/s

v3 = 4.4 m/s

Find the kinetic energy

KE1 = 1/2 . m1 . v1²

KE1 = 1/2 . 4.4 . 1.6²

KE1 = 5.632 joule

KE2 = 1/2 . m2 . v2²

KE2 = 1/2 . 3. 3²

KE2 = 13.5 joule

KE3 = 1/2 . m3 . v3²

KE3 = 1/2 . 1.6 . 4.4²

KE3 = 15.49 joule

Hence, the third object has the most kinetic energy (15.49 joule).

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Answer:

If solid ice were denser than water, it would sink. In the most extreme conditions, there would be no way to melt the ice in deep lakes and oceans, which would thicken from the bottom to the surface, forming permanently frozen bodies of ice and disrupting Earth's water cycle.

Explanation:

This ice layer insulates the water below it, allowing it to stay liquid, which allows the life within it to survive. If ice sank, the liquid water on top would also freeze and sink, until all the liquid water became frozen. Water is less dense as a solid, than as a liquid, which is why ice floats.

About 29.5 days must elapse between first-quarter moon and the next full moon in the same cycle.

The different ways the Moon appears to Earth over the course of about a month are known as its phases. The side of the Moon that faces the Sun will be illuminated as it revolves around the Earth. The various forms of the illuminated region of the Moon that can be observed from Earth are referred to as their phases. Every 29.5 days, a new phase begins. Due to tidal locking, the same half of the Moon always faces the Earth. The same half of the Moon's surface will therefore always be covered by the phases.

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The correct answer for the amount of downward force exerted by an object under the pull of gravity is its Weight.

Weight is a restraining force. The magnitude of weight is denoted by the symbol w. Galileo was instrumental in demonstrating that, in the absence of air resistance, all objects fall with the same acceleration g. Normal force is defined as the force exerted on an object by a surface. When an object is at rest, its net force is equal to zero; thus, the downward force (weight) must equal the upward force (normal force). Because weight acts downward, it will be negative. It is determined by the object's mass and the acceleration due to gravity, which is 9.8 m/s2 on Earth. The weight formula is F = m 9.8 m/s2, where F is the object's weight in Newtons (N) and m is the mass in kg .

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If the lead can be extracted with 92.5 efficiency, the mass of ore is required to make a lead sphere with a 7.00 cm radius is 17.707 kg.

To find the mass of ore, the given values are,

The radius of the lead sphere is r = 7.0 cm,

The lead can be extracted with, η = 92.5% = 0.925 efficiency.

Density is the substance's mass per unit of volume.

We know the density of lead as,

⇒ p = 11.4 g/cm³ .

The volume of the lead sphere is,

V = 4/3πr³

   = 4/3π(7)³

V = 1436.7 cm³.

Mass of the lead present in the lead sphere is,

m = p . V

    = 11.4  × 1436.7

    = 16379 g

m = 16.379 kg

From the expression of efficiency, we calculate the mass of the ore,

η = Mass of lead obtained / Mass of the ore to be taken

0.925 = 16.379 kg / Mass of the ore to be taken

Mass of the ore to be taken = 17.707 kg

If the lead can be extracted with 92.5 efficiency, the mass of ore is required to make a lead sphere with a 7.00 cm radius is 17.707 kg.

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