Humans convert approximately ________ of the energy stored in food to useful work

The correct option is (d) It is measured how many unstable elements are present in the volcanic layers above and below the sedimentary layers.

Researchers use some kind of clock to ascertain the date when a rock or fossil was generated in order to calculate its age. In order to reliably date historic events, geologists frequently utilize radiometric dating techniques, which are based on the natural radioactive decay of specific elements like potassium and carbon.

Natural radioactive decay results from the atomic nucleus becoming unstable and releasing fragments. Radioactive particles are released as a result (there are many types). When the number of protons and neutrons in the nucleus is balanced as a result of this decay process, the atom becomes stable.

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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 correct answer 27 mm^3 is the volume of the cube measureing 3 mm x 3 mm x 3 mm.

The cube's volume is 3 in x 3 in x 3 in = 27 mm ^3

The volume of a cube is calculated by multiplying its side by three. Thus, the volume of a cube can be expressed as Volume of cube = s ^3, where s is the cube's side length. A cube's volume is the space enclosed by its six faces. In contrast to 2d shapes, it has additional dimensions in addition to length and width, which are known as height and thickness. As a result, the volume of a cube equals the product of its length, width, and height.

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The difference quotient that best approximates the instantaneous rate of change is 1.

Average rate of change is rate at which one value within a function changes in relationship to another. The average rate of change is usually used to determine slope of a graphed function.

Let's explore how to find average rate of change and use linear and nonlinear functions to demonstrate it.

The average rate of change the formula is used to find the slope of a graphed function. To find average rate of change, divide the change in y-values by the change in x-values.

Finding average rate of change is particularly useful for determining changes in measurable values like average speed or average velocity.

We can define average rate of change of a function f(x) in interval [a, b] as:

[tex]r=\frac{f_{b}-f_{a} }{b-a}[/tex]

Particularly, if we want to find an approximation of rate of change for a particular value x', we can choose:

a < x' < b

Such that a and b are close to x'.

Then if we want to find the instantaneous rate of change of g at x = 0, we need to find the values of a and b really close to zero.

Looking at the table, we can choose:

a = -0.001

b = 0.001

(are two closer ones to zero)

Then rate of the change can be written as:

[tex]f(x)=\frac{g(0.001)-g(-0.001)}{0.001-(-0.001)}=\frac{2.001-1.999}{0.002}=1[/tex]

From that, we can conclude that a good approximation of instantaneous rate of change is 1.

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The answer of the question is

(a)Voltage or Volt

(b)Ampere (A)

(c)Ohm

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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The statement is incorrect as the Speed of anything cannot be negative.

The speed of a body is a scalar quantity and the speed of anybody may be defined as the distance covered by the body per unit of time. the speed of anybody is represented in the form of Distance and time as:

Speed = Distance/time

As both Distance and time are quantities that can never have a negative value therefore the speed of a body also can never have a negative value. In this statement a student refers to a bird and says that its speed is - 7m/s which indicates that the speed is negative that is why this statement is wrong as speed can never have a negative value. The speed of a body is always positive or zero.

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Mechanical power is being provided for constant rotation of the armature in operating mechanical devices.

The armature has two functions. The first is to transport current across the field, resulting in shaft torque in a rotating machine or force in a linear machine. The second function is to create electromotive force (EMF).

The relative motion of the armature and the field produces an electromotive force in the armature. When employed as a motor, the EMF opposes the armature current, and the armature transforms electrical power to mechanical power in the form of torque and transfers it via the shaft. The armature EMF drives the armature current, and the shaft movement is converted to electrical power when the machine is utilized as a generator.

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The volume of the balloon is 1.5 x [tex]10^{3}[/tex] [tex]cm^{3}[/tex]

Volume that the balloon has expanded to = V = 1.50L

We know that 1 L = 1000 [tex]cm^{3}[/tex]

⇒ V = 1.50 x 1000 [tex]cm^{3}[/tex]

= 1500 [tex]cm^{3}[/tex] or 1.5 x [tex]10^{3}[/tex] [tex]cm^{3}[/tex]

There is an acid-base reaction when vinegar and baking soda are together. Baking soda is the basic, and vinegar is the acid. A gas called carbon dioxide bubbles and foams as a result of this reaction between the two.

Since the gas has nowhere else to go, it expands the balloon, causing it to self-inflate.

Use more vinegar and baking soda to make more carbon dioxide gas, which will result in a larger balloon.

The number of reactants utilized impacts the number of products produced, which is a key principle in chemical processes. The reaction ought to be largely finished once the pressure starts to drop.

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Because,

The mechanism that starts, directs, and sustains goal-oriented behaviour is known as motivation. For instance, it spurs you on to get that job promotion or helps you maintain your weight loss. Simply defined, motivation encourages you to take steps that advance your goals.

The word "motivation" is widely used in ordinary speech to refer to the factors influencing someone's actions. It is what spurs people into taking certain actions. The biological, emotional, social, and cognitive variables that drive human behaviour are all included in motivation.

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According to Chebyshev's Theorem, the percentage of data within k standard deviations of the mean must be at least 1 - 1/k2 for any distribution, normal or otherwise.

In this instance, the mean is 1600 and the standard deviation is 120. The boundaries are set at 1240 and 1960. 360 data points are below and above the mean here. Considering that the standard deviation is 120 and that the mean is within 3 standard deviations of that value (360/120), k is equal to 3. As a result, 1 - 1/32 equals 1 - 1/9. This is 8/9, or almost 89%.

There is a range of 1360 to 1840. Within two standard deviations of the mean, this is 240 above and below the mean. Consequently, at least a fraction of the data fall inside this range.

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By using drift velocity of the electron, the current flow is 7.20 ampere.

We need to know about drift velocity of electrons to solve this problem. The drift velocity can be determined as

v = I / (n . A . q)

where v is drift velocity, I is current, n is atom number density, A is surface area and q is the charge.

From the question above, we know that

d = 2.097 mm

r = (0.002097 / 2) m

v = 1.54 mm/s = 0.00154 m/s

ρ = 8.92 x 10³ kg/m³

q = e = 1.6 x 10¯¹⁹C

Find the atom density

n = Na x ρ / Mr

where Na is Avogadro's number (6.022 x 10²³), Mr is the atomic weight of copper (63.5 g/mol = 0.635 kg/mol).

n = 6.022 x 10²³ x 8.92 x 10³ / 0.635

n = 8.46 x 10²⁷ /m³

Find the current flows

v = I / (n . A . q)

0.00154 = I / (8.46 x 10²⁷ . πr² . 1.6 x 10¯¹⁹)

0.00154 = I / (8.46 x 10²⁷ . π(0.002097 / 2)² . 1.6 x 10¯¹⁹)

I = 7.20 ampere

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The scale is said to be reliable but not valid.

A person weighing 100 pounds is expected to return the same weight on mounting a scale, measuring 200 pounds means the scale is probably uncalibrated. However, when the person steps off and climbs back and the scale still shows 200 pounds this means the scale is reliable but not valid. The scale would have been rendered unreliable and invalid if it returns a different weight of the person. Hence, the scale is working but needs to be calibrated properly. It is also probable that the scale had been earlier set to 100 pounds which explains the reason for a doubled result.

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The unifying relationship among the variables temperature, volume, pressure, and the number of moles is described and summarized by the ideal gas law.

The equation for ideal gas law is given below where T is temperature, V is the volume, P is the pressure, n is the number of moles of the gas, and R is the gas constant 0.082056 L⋅atm/mol⋅K

PV = nRT

Calculate first the moles of O2 from the moles of Ag2O

moles O2 = 0.5 moles Ag2O x 1 mol O2/2 mol Ag2O = 0.25 moles

Assuming that the oxygen gas is an ideal gas, we will use the ideal gas equation to calculate the volume it occupies.

V = nRT/P

V = 0.25 moles*0.082056*546k/1 atm =

11 L

Hence, volume of pure oxygen gas (o2) is 11 L

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The gravitational pull accelerates the Earth more since it is less heavy and causes it to move more quickly.

The mass of the Earth is what creates gravity. The combined gravitational force of all of its mass acts on the mass in your body. We couldn't survive without gravity. It produces the force that keeps the Earth in orbit around the Sun and keeps us on the surface of the planet. When two objects contact, forces are the mechanism by which energy is transmitted from one to the other, but forces do not themselves contain energy. Since gravity is a force, it only offers one method for objects to exchange energy and change its state.

The weakest force that humans are aware of is gravity.

Weight and gravity are not the same.

Gravity generates waves that move at light speed.

Gravitons, which are massless particles, may carry gravity.

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The resulting speed of weight B is 4m/s

Here we have the end of the cable A pulled with the speed of 12m/s

To find the speed at which block B move:

At the top of pully. We have length at A is Sa and length of B is Sb.

The length from the top pulley to the small pulley which is held by the bar that Lint we built label it H

The pulley system made of only one chord, so we need only one equation to represent the rope.

Sa +Sb +(2Sb -h) = l

When the rope is pulled at block B the whole part moves up.

Sa + 3 Sb = L+2h

In order to find the velocity, we take derivative of the above equation.

here we get

Va + 3Vb = 0

Va = 12m/s

vb = -12/3 = -4m/s

negative sign shows that block is going against the direction. That is upward direction.

The resulting speed of weight B is 4m/s

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A sled sliding down the hill will have more Kinetic energy than a sled resting at the top of a hill.

We know that,

Kinetic Energy KE = [tex]1/2 mv^{2}[/tex]

A sled resting at the top of a hill will have zero velocity.

KE of a sled resting at the top of a hill = 0

Kinetic Energy is the energy of motion which is directly proportional to the velocity of the object.

Therefore Kinetic energy of a sled sliding down the hill is more than that of a sled resting at the top of a hill.

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The cost of excavating a space of 84 ft long, 42 ft wide, and 9 ft deep is $45864

Information about the problem:

To solve this problem, we have to state the equation using the information of the problem:

Calculating the volume of the total space:

space volume = space long * space wide * space deep

space volume = 84 ft * 42 ft * 9 ft

space volume = 31752 ft3

By converting the volume from ft3 to yd3, we have:

31752 ft3 * (0,037037 yd3 / 1 ft3) = 1176 yd3

Calculating the cost of excavating the volume space:

Total cost = space volume * cost by yard3

Total cost = 1176 yd3 * $39/yd3

Total cost = $45864

It is the space occupied by a body, it is calculated by multiplying its dimensions, for example: length, height and width.

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5.3 km

This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.

Let us denote each of the individual displacements by a vector. Consider the unit vectors as the unit vectors in the direction of East and North respectively.

By simple calculations, we can derive the unit vectors j,[tex]\frac{-i-j}{2}[/tex] and in the directions North,  South of West, and  North of West respectively.

So Total displacement vector = The Sum of individual displacement vectors.

Displacement vector = -4.25i + 3.165j

The magnitude of Displacement =| -4.25i + 3.165j |  = 5.3km

∴ Total displacement = 5.3km

A displacement is a vector in geometry and mechanics that have a length equal to the shortest distance between a point P's initial and final positions.  It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement.

The final location xf of a point relative to its beginning position xi, or a relative position (derived from the motion), is another way to express a displacement. The difference between the final and initial coordinates can be used to define the equivalent displacement vector.

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As a result, the balloon was 1,410 meters above the ground when it was dropped.

Your height, for instance, is one of your dimensions. With a meter stick or tape measure, you can quantify that. We frequently refer to "three-dimensional space," in which we define an area using two dimensions and measure height using a third dimension.

The balloon's initial velocity and the bomb's beginning velocity will be equal. We consider downward velocity to be positive and upward velocity to be negative when falling. The balloon in the issue is moving upward at a speed of 100 m/s. Therefore, the initial velocity of the bomb will be -100m/s

Initial velocity of the bomb  

u = -100m/s

We know gravitational acceleration

g = 9.8m/s²

Time t = 30s

Required

height , s = ?

Using the equation we get,

[tex]s=u t+\frac{1}{2} g t^2[/tex]

s=(-100m/s)*(30s)+1/2*(9.8m/s²)*(30s)²

s= 1,410 m

As a result, the balloon was 1,410 meters above the ground when it was dropped.

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The complete question is -

A bomb dropped from a balloon reaches the ground in 30seconds .

Determine the height of the balloon if it is at rest in the air and if it is ascending with a speed of 100m/sec when the balloon is dropped.

The angle to find the magnitude of the resultant force of two vectors 90 DEG.

Greatness by and large alludes to the amount or distance. According to the development, we can associate extent with the size and speed of the article while voyaging. The size of the item or the sum is its greatness. Like in the event of speed, a vehicle is voyaging quicker than a motorbike. Size alludes to the evaluating of the splendor of stars, the first being the most brilliant. It has been moved to different issues since basically the seventeenth century. Magnitude for the most part alludes to the amount or distance. Corresponding to the development, we can connect greatness with the size and speed of the item while voyaging. The size of the item or the sum is its greatness. Like in the event of speed, a vehicle is voyaging quicker than a motorbike.

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It is true that Ernest Rutherford contributed significantly to the theory of atomic structure.

He observed that particles with a positive charge deflected when passing through a thin sheet of gold foil concluded that the positive part of the atom is small and dense.

The Ernest Rutherford experiment describes planetary model of an atom. According to the model, an atom has a tiny, compact, positively charged centre called a nucleus, where almost all of the mass is concentrated, while light, negatively charged particles called electrons orbit far around it, much like planets orbit the Sun. In his experiment, the observation that a positive charge is deflected through a thin sheet of gold foil led to the conclusion that the deflection some of the positive charge occurs in a small region of the atom while the majority passed through the atom (which was also concluded to be empty space).

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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:

c. prone; supine

Explanation:

The density of 8.0 cm³ sample of the same metal is 5.65g/cm³.

The density of a sample or a body is defined as, the density of a body is the amount of mass per unit volume . It is denoted by ρ. & its unit is kg/m³.

Density ρ = M/V

where, M is mass and V is volume of the body.

Solution,

Given here,

The density ρ₁ of volume V₁ & the density ρ₂ of volume V₂ of same metal therefore,

ρ₁ = 11.3 g/cm³

V₁ = 4.0 cm³

V₂  =8.0 cm³

ρ₂ =?

ρ₁ × v₁ = ρ₂ × v₂

ρ₂ = ρ₁ × v₁ /v₂

ρ₂ = (11.3 g/cm³× 4.0 cm³)/8.0 cm³

ρ₂ = 5.65  g/cm³

The density of sample of the same metal is  5.65  g/cm³

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The interaction of a nonelectrolyte and water differs from the interaction of an electrolyte and water because nonelectrolytes do not conduct current while electrolytes can conduct current.

The solution that does not let the current pass through any state either liquid or molten is called nonelectrolyte.

For example, sugar and alcohol are nonelectrolytes.

On the contrary, electrolytes are those mediums, compounds, or substances that allow electric charges to pass through them.

In this way they conduct electricity.

For example, when an ionic substance dissolved in water forms an ionic solution it let the current pass through such as NaCl, HCl, etc. Sodium chloride dissolves in water forming ions of sodium and chloride ions and making the solution electro conductive.

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Answer:

556cm

Explanation:

because 5.56m × 100 = 556cm.

Answer:556

5.56*100=556

Explanation:

When osmium goes from a solid to a liquid and finally a gas, the element has undergone phase changes

The osmium is a transition chemical element which is also known as "Os" in the periodic table. Its atomic number is 76. It is hard, brittle, bluish metal at room temperature, but it can be liquid when it heats up until its melting point (3000°C) and if it keeps heating it can finally be a gas when it reaches its boiling point (5500°C).

The phase change materials, also known as PCMs, are the elements able to absorb, store and release large amounts of heat over a defined temperature range when the element changes phase or state.

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The time does it take until he catches the chicken 4.28 seconds. he traveled 10.3 m/s this time.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

3.5(t+2) = 0.5*2.4t+2, 3.5t + 7

= 1.2t+2, 1.2t+2 - 3.5t + 7 = 0, and d1 = d2

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.

t = 4.28s.

d = d1 = d2 = 3.5(4.28+2)

= 22m.

The pace at which an object moves is its speed. The distance traveled divided by the time is the calculation for speed. Distance x time equals speed. The formula for distance can be found by rearranging the formula for speed.

V = Vo + at = 0.04 + 2.4 * 4.28

= 10.3 m/s.

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