If you walked at a speed of 3 m/s and 15 seconds of time has passed how far have you traveled

Answers

Answer 1

Answer: 45 meters

Explanation:

3 m/s ==> 3 meters/second

15 seconds * 3 meters/second=

15*3/1=

15*3=45 meters

Answer 2
3*15 = 45 meters passed

Related Questions

What wavelength photons are needed to produce 30.0-kev electrons in compton scattering?

Answers

We need photons of wavelength 0.0177 nm

When photons interact with matter, there are four competing processes. Compton scattering is one of them.

A photon can be completely absorbed, and its energy can eject an electron from its host atom at energies of a few eV to a few keV, which correspond to visible light through soft X-rays. This phenomenon is known as the photoelectric effect.

Who made the Compton effect famous?

The Compton effect was discovered by Arthur Compton.

What does the Compton effect mean?

The Compton effect is the lengthening of electron-scattered X-ray and other electromagnetic wave wavelengths. It is the fundamental process by which matter absorbs radiating energy.

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A 12-n force is applied at the point x=3m, y=1m. find the torque about the origin if the force points in (a) the x direction, (b) the y direction, and (c) the z direction.

Answers

The torque about the origin if the force points in (a) the x direction, (b) the y direction, and (c) the z direction are 12; 36; 37.9 respectively

Torque is a twisting force produced by applying a force at a distance from a point. We would need to choose a distance that is perpendicular to the force's direction. We apply the equation to determine torque,

T=Fd

where F is the force and d is the orthogonal distance to a central point.

i. If the force points in the x-direction, we need to use the y-distance to calculate torque.

T=Fxdy

T=12N *1m

T = 12 N.m

ii. If the force points in the y-direction, we need to use the x-distance to calculate torque.

T=Fxdy

T= 12N * 3m

T = 36 N.m

iii. If the force is directed in the z-direction, the straight-line distance from the origin to the point is orthogonal to the force. The magnitude of the distance will be used as the distance value. This may be determined using the equation.

||d||= √ (X2 + Y2)

where X and Y are the x and y coordinates.

T=Fz||d||

T=(12N) (√ (32 + 12)

T = 37.9 N.m

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A force of 8 lb8 lb is required to keep a spring compressed to 13 ft13 ft shorter than its equilibrium length. what is its spring constant? =k= lb/ft

Answers

By using Hooke's Law, the spring constant is 0.62 lb/ft.

We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as

F = k . x

where F is force, k is spring constant and x is displacement.

From the question above, we know that

F = 8 lb

x = 13 ft

By substituting the given parameters, we get

F = k . x

8 = k . 13

k = 8/13

k = 0.62 lb/ft

Hence, the spring constant is 0.62 lb/ft.

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different parallel, straight paths. Each car's velocity as a function of time is shown in the graph. Which of the following claims is correct
about car X and car Y?

Both car X and car Y travel in the same direction.

Between t 6s and t7s, car X and car Y are at the same horizontal position.

The change in car X's speed per unit of time increases as the time increases, and the change in car Y's speed per unit of time decreases as the time increases.

The magnitude of the acceleration of car X is the same as the magnitude of the acceleration of car Y.​

Answers

Answer:different parallel, straight paths. Each car's velocity as a function of time is shown in the graph. Which of the following claims is correct

about car X and car Y?

Both car X and car Y travel in the same direction.

Explanation:


During a baseball game, a batter hits a high
pop-up.
If the ball remains in the air for 5.86 s, how
high above the point where it hits the bat
does it rise? Assume when it hits the ground
it hits at exactly the level of the bat. The
acceleration of gravity is 9.8 m/s².
Answer in units of m

Answers

Answer:

Доброе утро, ответ 5+5="4

Explanation:

Is it correct to say that, if no net impulse is exerted on a system, then no change in the momentum of the system will occur?.

Answers

Yes, it is correct to say that if no net impulse is exerted on a system, then no change in the momentum of the system will occur.

Impulse is defined as the instantaneous force applied to the object for a very short duration. It is given by the product of force and time. The expression of the impulse is given by

I =  F × t where ,

F is the force

t is the time

The impulse is also defined as the change in the momentum of the object, that is,

[tex]I=Pf-Pi[/tex] where [tex]Pf[/tex] is the final momentum of the object [tex]Pi[/tex] is the initial momentum of the object

Hence, if the net impulse is zero, therefore

0=[tex]Pf[/tex]=[tex]Pi[/tex]

[tex]Pf[/tex]=[tex]Pi[/tex]

hence the momentum of the object will also not change.

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If you wanted to know how long
it would take you to get to the store and back, which would be more
useful, average speed or average velocity? Explain why.

Answers

The average velocity will be more useful if you wanted to know how long it would take you to get to a store and come back.

What are Average Speed and Average velocity?

The overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.

Average Speed=[tex]\frac{total distance}{total time}[/tex]

Average velocity is a vector quantity. The change in position or displacement divided by the time periods during which the displacement happens is known as average velocity. Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s), the SI unit of average velocity, is used.

Average Velocity=[tex]\frac{Total displacement}{Total time}[/tex]

So, in average speed no particular direction is given there can be multiple ways to go to the store and come back so average speed can be different every time.

But in case of average velocity there must be particular shortest route that is known as displacement and that would give an accurate time to go to the store and come back

Hence, average velocity is more useful as compared to average speed.

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An example of kinetic energy is ________. group of answer choices a coiled spring food rocket ready to be launched pouring rain a parked car

Answers

An example of kinetic energy is pouring rain.The correct response to this question is (c) pouring rain.

Kinetic energy is the capacity for a moving thing to perform work. An object must be moving in order for it to have kinetic energy. Kinetic energy is measured in joules (J), much like all other types of energy.

There must be some kind of motion that an object goes through for it to have kinetic energy. By taking them as a whole and ignoring any potential "kinetic energy" that their molecules may have, all the other alternatives in this situation are just of stationary objects.

Therefore, an example of kinetic energy is pouring rain.The correct response to this question is (c) pouring rain.

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Do the following operations. Give your answer to the correct number of sig. figures.

2 m + 9.35 m + 8.6 m

Answers

The addition operation of the given figures is determined as 19.95 m in 4 significant figure.

What is significant figure?

A significant figure is a figure or a digit that contributes to how accurately something can be measured.

The given values;

2 m ------> 1 significant figure

9.35 m ---------> 3 significant figure

8.6 m -------------> 2 significant figure

Perform addition operation in the given digits

Addition operator in mathematics is denoted by the symbol "+" and it implies summing the giving digits together.

2 m + 9.35 m + 8.6 m = 19.95 m (4 significant figure).

Thus, the addition operation of the given figures is determined as 19.95 m in 4 significant figure.

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A slice of cheese has a mass of 44 g and a volume of 33 cm3. what is the density of the cheese in units of g/cm3 and g/ml?

Answers

The density of cheese is 1.33 g/cm³ or 1.33 g/mL.

We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as

ρ = m / V

where ρ is density, m is mass and V is volume

From the question above, we know that

m = 44 g

V = 33 cm³

As we know that 1 cm³ is equal to 1 ml, hence the answer will be the same.

By substituting the following parameters, we get

ρ = m / V

ρ = 44 / 33

ρ = 4/3

ρ = 1.33 g/cm³

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What is the symbol, atomic number, # of protons, # of electrons, atomic mass, rounded atomic mass, # of neutrons (show work), and period of: aluminum

Answers

The properties of aluminum are as follows:

symbol = Alatomic number = 13number of protons = 13number of electrons = 13atomic mass = 26.981539 urounded atomic mass = 27 amunumber of neutrons = 14period : belongs to period 3

What are elements?

Elements are pure substances which are composed of the same type of atoms.

Elements are the building block of all forms of matter.

Aluminum one of the known 118 elements.

In the period table, aluminum has the following properties:

symbol = Alatomic number = 13number of protons = 13number of electrons = 13atomic mass = 26.981539 urounded atomic mass = 27 amunumber of neutrons = 14period : belongs to period 3

In conclusion, aluminum is an element in the periodic table.

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A car travelling at 91.0 km/h approaches the turnoff for a restaurant 30.0 m ahead. If the driver slams on the brakes with an acceleration of -6.40 m/s2
2
what will her stopping distance be?

Answers

The stopping distance of the car is 49.9 m

Data obatined from the question

The following data were obtained from the question:

Initial velocity (u) = 91 Km/h = 91 / 3.6 = 25.28 m/sAcceleration (a) = -6.4 m/s²Final velocity (v) = 0 m//s Stopping distance (s) = ?

How to determine the stopping distance

The stopping distance can be obtained as illustrated below:

v² = u² + 2as

0² = 25.28² + (2 × -6.4 × s)

0 = 639.0784 - 12.8s

Collect like terms

-12.8s = 0 - 639.0784

-12.8s = -639.0784

Divide both sides by -12.8

s = -639.0784 / -12.8

s = 49.9 m

Thus, the stopping distance of the car is 49.9 m

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When a diode is reverse-biased and the bias voltage is increased, what will happen to the reverse current?

Answers

When a diode is reverse-biased and the bias voltage is increased, what will happen to the reverse current will not change.

What is a diode?

A diode is a semiconductor device that essentially switches current in a single direction.

While restricting current flow in the other direction considerably, it makes it easy for current to flow in one way.

Because they transform alternating current (ac) into pulsing direct current, diodes are also known as rectifiers (dc).

The type, voltage, and current capability of diodes are all rated.

Anode (positive lead) and cathode, define the polarity of diodes (negative lead).

The majority of diodes only let current flow when anode voltage is provided in the positive direction.

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Can someone help me on number 4

Answers

It’s aaaaaaaaaaaaaaAaaaaaaa

When earth catches up to a slower-moving outer planet and passes it in its orbit, in the same way that a faster runner overtakes a slower runner in an outside lane, the outer planet.

Answers

When earth catches up to a slower-moving outer planet and passes it in its orbit, in the same way that a faster runner overtakes a slower runner in an outside lane, the outer planet exhibits retrograde motion.

What do you mean by retrograde motion?

Retrograde motion, in astronomy, the actual or apparent motion of a body in the opposite direction to the direction of the (direct) motions of most members of the solar system or other astronomical systems with a preferred direction of motion. Viewed from a position in space north of the Solar System (from some great distance above Earth's north pole), all the major planets revolve around the Sun in a counterclockwise direction, and all but Venus and Uranus rotate counterclockwise about their own axes; these two, therefore, have retrograde rotation. Of the known satellites of the planets, a minority show retrograde revolution. These include the four outermost moons of Jupiter; Phoebe, Saturn's outermost moon; and Triton, the largest of Neptune's moons. The orbital planes of the satellites of Uranus are so strongly inclined that describing the motion of these bodies as retrograde or direct has little meaning. The rotations around the Sun of all known asteroids are direct; of the known periodic comets, only a few, one of which is Halley's Comet, move in a retrograde orbit.

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If a cell has a diameter of 2.0mm, what percentage of its surface area would be covered by glucose transporters (glutr)?

Answers

The percentage of its surface area would be covered by glucose transporters is 100%.

As the cell is nearly spherical, the surface area of a cell with a diameter of 2.0 mm is equal to

A= 4πr^2 = 4 pi 1 x (10^-3)^2= 12.5 x 10^-6 m^2.

The area occupied by glucose transporters is approximately 12 nm^2 or 1.2 x 10^-6 m^2.

So, the %age of area covered by glucose transporters = Surface area of the cell/ Area occupied by glucose transporters= 12.5 x 10^-6 m^2/1.2 x 10^-6 m^2 x 100 = 100%.

Thus, the percentage of its surface area that would be covered by glucose transporters is 100%.

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What is the conc of the fully deprotonated glycylglysine in a 100 mm solution at ph 9.0?

Answers

The concentration of the fully deprotonated glycylglycine 100 mm solution at ph 9.0 is 8.8mM.

What is deprotonation?

In an acid-base process, deprotonation (or dehydronation) refers to the removal (transfer) of a proton (or hydron, or hydrogen cation), (H+), from a Brnsted-Lowry acid.

The formula that can be used in this context:

pH = pKa2 + log base/acid

9.0 = 8.13 + log deprotonated/ protonated

0.87 = log [deprotonated] / [protonated]

[deprotonated] / [protonated] = 10^0.87 = 7.4 → 1

Here we have been provided that,

Ct = the provided total concentration of glycylglycine = 100mM

so, Ct = [deprotonated] + [protonated]

100mM - [deprotonated] = [protonated]

Thus, setting up the values in equation 1, we have

[deprotonated glycylglysine ] / 100mM - [deprotonated] = 7.4

⇒ [deprotonated glycylglysine ] = 7.4 [100mM] - 7.4[deprotonated]

⇒ [fully deprotonated] = 7.4 [100mM] / 8.4

= 88.09 mM

≈ 88mM

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A cylinder initially contains a liquid-vapor mixture of water. water has a total mass of 10 kg and a quality facor of:________

Answers

A cylinder initially contains a liquid-vapor mixture of water. water has a total mass of 10 kg and a quality factor of x1= 0.8.

Numerous variables, including the quantity of salt (or salinity), bacteria levels, dissolved oxygen concentrations, and the number of debris suspended in the water, are used to determine the quality of water (turbidity). The individual index values of some or all of the parameters within the five categories of water quality parameters are averaged to create the WQI. Turbidity (NTU*) of the water and/or Secchi disk depth (in meters or feet); Oxygen that has been dissolved: Oxygen concentration in milliliters. They consist of nutrients, pH, temperature, salinity, and dissolved oxygen (nitrogen and phosphorus). One of the most crucial elements of water management is the assessment and management of water quality. With increasing worries and understanding about the effects on the environment and public health, this has gained substantial worldwide significance throughout time.

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in a slap shot, a hockey player accelerates the puck from a velocity of 11 m/s to 50 m/s in the same direction. if this takes 3.33x10^-2 s, calculate the distance over which the puck accelerates

Answers

The distance traveled by the puck is 0.203 m.

What is distance?

This can be defined as the length between two points.

To calculate the distance which the puck accelerate, we use the formula below.

Formula:

S = (v+u)t/2.......... Equation 1

Where:

S = Distancev = Final velocityu = Initial velocityt = Time

From the question,

Given:

v = 50 m/su = 11 m/st = 3.33×10⁻³ s

Substitute these values into equation 1

S = (50+11)3.33×10⁻³ /2S = 0.203 m

Hence, the distance traveled by the puck is 0.203 m.

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A+particularly+precise+and+accurate+speedometer+has+a+5.0%+uncertainty.+what+is+the+range+of+possible+speeds+when+it+reads+67.0+km/h?+express+your+answers+to+1+decimal+place+(tenths).

Answers

Complete Question -

(a) A car speedometer has a 5.0% uncertainty. What is the range of possible speeds when it reads 90 km/h? (b) Convert this range to miles per hour. (1 km=0.6214 mi)

a) 94.5 km/h to 85.5km/h

b) 58.7 mi/h to 53.1 mi/h

v = 67.0 km/h

dv/v %  = 5

dv/v = 0.05

dv= 0.05 * 67

dv = 3.35

lowest speed = v- dv

= 67-3.35

=63.65

so upto 1 decimal lowest speed is 63.6

highest speed = v +dv

= 67 + 3.35

= 70.35

so highest  speed  upto 1 decimal = 70.9

lowest speed = 63.6 km/h

= 63.6 * 5/18

= 17.1 m/s ( upto 1 decimal)

highest speed = 70.9 km/h

= 70.9 * 5/18

=19.1 m/s ( upto 1 decimal}

Significant Figures can help determine the accuracy of a number by the number of significant figures it contains.

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Why must you calibrate your micropipette with oleic acid solution and not with water?

Answers

The reason why the micropipette must be calibrated with oleic acid solution and not with water is that Oleic acid can spread out unlike water. Hence, the drop volume will be different skewing the volume.

Oleic acid does have the characteristic of spreading out across a monolayer with a measurable thickness. Water, on the contrary hand, contains a variety of drop sizes, which skews the volume and thus affects the calibration. Because of this, oleic acid is recommended.

Water repels the non-polar chain (it is hydrophobic), while water attracts the polar end (hydrophilic). A very dilute oleic acid solution in pentane shall be used. The pentane evaporates quickly, leaving behind a thin layer of plain oleic acid.

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A 9V battery supplies power to a cordless curling iron with a resistance of 18 ohm how much current is flowing through the curling iron

Answers

Answer:

V = IR

V = voltage = 9 volts

I = current

R = resistance = 18 ohms

V = IR

9 = I·18

A diode hasiso=10 fa and a built-in voltage of 0.8 v. what isisfor a reverse biasof 10 v?

Answers

A diode that has the iso=10 fa and a built-in voltage of 0.8 v, its reverse basis for 10v is 36.7fA

What does a diode do?

As rectifiers, signal limiters, voltage regulators, switches, signal modulators, signal mixers, signal demodulators, and oscillators, diodes are a versatile electrical component.

A diode’s propensity to transmit electric current solely in one direction is its fundamental characteristic.

What are diodes and their types?

An electrical device with two terminals is a diode. A semiconductor, most frequently silicon but occasionally germanium, is used to create diodes.

There are many different kinds of diodes, but the ones being addressed here include the silicon-controlled rectifier, TRIAC, transient voltage suppressor, Zener, rectifier, and Schottky diodes.

What is the diode’s operating principle?

A diode’s most frequent use is to permit an electric current to flow in one direction while blocking it in another. This is known as the diode’s forward direction.

It is provided that

Vr = 10V

ϕj = 0.8 V

Iso = 10fA

The reverse current Is

Is = Iso sqrt [1 + Vr/ϕj]  → 1

Substituting all the values provided in question to equation 1, we have

Is = 10fA sqrt (1+10/0.8)

=(10fA) sqrt (13.5)

= 36.7fA

Thus Is = 36.7fA

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A car is traveling at vx= 20 m/s . the driver apples brakes and the car slows down at ax=-4.0 m/s^2 what is the stopping distance?

Answers

The stopping distance for a car traveling at a velocity of 20 m/s and acceleration of -4 m/s^2 is 50 m.

The above situation is a case of motion in one dimension, which is governed by the following equations,

V = u + at ..........(i)

V^2 - u^2 = 2as ..........(ii)

S = ut + 1/2 at^2 .........(iii)

As we are given the initial velocity, the final velocity, and the acceleration, therefore we have to apply the second equation to get the answer

v^2 - u^2 = 2as

Here v is the final velocity = 0 m/s

u is the initial velocity = 20 m/s

a is the acceleration = -4 m/s^2

And s is the distance traveled by car

Putting the given values in the above equation,

(0) ^2 - (20)^2 = 2(-4)s

-400 = -8s

S = 50 m

Hence, The stopping distance for a car traveling at a velocity of 20 m/s and acceleration of -4 m/s^2 is 50 m.

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When burned with just the stoichiometric amount of air, under conditions where no heat is lost, will produce flames at what temperature range? group of answer choices

Answers

When burned with just the stoichiometric amount of air, under conditions where no heat is lost, the temperature range in which it will produce flames is around 2100 K to 2300 K.

Stoichiometric combustion, in which all available oxygen is fully used, is burning without excess or lack of air. The general equation of a stoichiometric combustion can be determined by presuming that nitrogen reacts in extremely small amounts and is discovered after combustion in molecule form.

Stoichiometric or theoretical air is the smallest amount of air required for a fuel to burn completely. Stoichiometric combustion theoretically gives the ideal fuel to air ratio, which reduces losses and gets all of the energy from the fuel; but, in practice, stoichiometric combustion is not possible due to a variety of different variables.

Since heat losses are unavoidable, 100% efficiency is not possible.

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What is the independent variable in the following hypothesis: “If carbon dioxide is added to the atmosphere, then the temperature of the Earth will rise.”

A
Presence of carbon dioxide
B
The atmosphere
C
The Earth
D
Temperature of the Earth

Answers

The independent variable in the given scenario is the presence of carbon dioxide. The correct option is A.

What is independent variable?

The term "independent variable" means precisely what it seems like. It is a parameter that is independent of all the other variables individuals are attempting to measure.

In mathematical modeling, data techniques, and exploratory sciences, dependent and independent variables are variables. According to the hypothesis, this variable has a direct effect on the dependent variable.

In the given scenario, the temperature of atmosphere is getting changed by the presence of carbon dioxide, so it can be better to say that here, carbon dioxide is independent variable and temperature is dependent one.

Thus, the correct option is A.

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PLEASE HELP!!!!!!!!! 100 POINTS!!!!!!!!!!!! According to Newton's Third Law, if a hammer puts a force of 200 N on a nail, how much force does the nail put back on the hammer?

Answers

Answer:200N,  

Explanation:

the hammer exerts a force nail, then the nail will exert a force of equal magnitude and opposite direction back on the hammer.

The nail put back a force of 200 N on the hammer in opposite direction.

What is force?

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

Given that; hammer puts a force of 200 N on a nail.

According to Newton's Third Law of motion, every action has equal and opposite reaction.

So, the nail put back a magnitude of 200 N force on the hammer in opposite direction.

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A vehicle accelerates to 22.60 m/s after being stopped at a red light. The vehicle travels 29.46 m while accelerating from the intersection. How fast was its acceleration?

Answers

The vehicle took 2.6 seconds to accelerate.

What is Acceleration ?

Acceleration is the rate at of change of velocity. It is a vector quantity. That is, it has both magnitude and direction.

Given that a vehicle accelerates to 22.60 m/s after being stopped at a red light. The vehicle travels 29.46 m while accelerating from the intersection. How fast was its acceleration?

The parameters to be considered are:

Initial velocity u = 0Final velocity v = 22.6 m/sDistance s = 29.46 mTime t = ?

Let us first calculate the acceleration by using the formula

v² = u² + 2as

22.6² = 0 + 2 × a × 29.46

510.76 = 58.92a

a = 510.76 / 58.92

a = 8.67 m/s²

Now, we can know how fast was its acceleration by using the formula

v = u + at

22.6 = 0 + 8.67 × t

22.6 = 8.67t

t = 22.6 / 8.67

t = 2.61 s

Therefore, the vehicle took 2.6 seconds to accelerate.

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A sheet of aluminium foil is held in front of a radioactive source. TWO types of radiation are detected on the other side. State which type of radiation will NOT be detected. * giving out BRAINLIEST

Answers

Alpha particles, though beta particles can also be blocked by aluminium.

If a sheet of aluminum foil is held in front of a radioactive source. Two types of radiation are detected on the other side. The alpha particle radiation will not be detected.

What is radioactivity?

The ability of some unstable atoms to emit nuclear radiation spontaneously, typically in the form of alpha or beta particles frequently accompanied by gamma rays, is known as radioactivity.

As given in the problem statement, if a sheet of aluminum foil is held in front of a radioactive source. Two types of radiation are detected on the other side, then we have to find which type of radiation will not be detected on the other side.

When a radioactive source is in front of a sheet of aluminum foil. On the opposite side, radiation of two different sorts is seen. There won't be any indication of alpha particle radiation.

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An aqueous solution with a ph of 2.00 is diluted from 1.0 l to 3.0 l. what is the ph of the diluted solution?

Answers

The aqueous solution with a ph of 2.00 is diluted from 1.0 l to 3.0 l.The ph of the diluted solution will be 2.48.

The pH serves as a gauge for a solution's acidity or alkalinity, as well as its hydrogen ion concentration. The pH scale typically ranges from 0 to 14. Acidic aqueous solutions at 25 °C are those with a pH below 7, and basic or alkaline solutions are those with a pH above 7.

Anything that is acidic is below 7.0, while everything that is alkaline or basic is above 7.0. A pH scale that lists the pH values of common substances and ranges from 0 (extremely basic/alkaline) to 14 (very basic/alkaline).

A solution's pH is a significant indicator of its chemical composition. The pH can affect how readily available nutrients are, how biological processes work, how bacteria behave, and how chemicals behave.

Aqueous solutions are made up of water and one or more dissolved materials. Solids, gases, or other liquids can all dissolve in an aqueous solution.

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Find the next term of the following sequence.9, 6, 4, Which feature of Anglo-Saxon culture is described in the excerpt?Which feature of Anglo-Saxon culture is described in the excerpt?a Christian traditiona cup-bearera gift-givinga Pagan tradition Use distributive property to rewrite (3+8)15 in 2008, the world record for swimming the 50 m style event was 21.3 four seconds supposing the athlete swim at a con stamp rate what was his speed round your answer to the nearest hundredth. A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function =S+16.950.60M, where M is the number of miles driven.The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+4.900.15M.Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible. Use this image and put these following words in 5-7 sentences Childhood , awareness, interaction, generation, technology, youngsters A calorimeter initially contains 165.0 ml of water at 21.3oc. when 2.72 g k is added to the water, the temperature of the resulting solution rises to a maximum of 47.8oc. the reaction that occurs is:________ what is g(r) = -5+13 when g(3) Solve the system of inequalities 3 consecutive integers that equal 21 500 g of a radioactive element is decaying exponentially. After 8 days 358 g of the element is left.a. Write a function in the form y = yo ekt giving the number of grams of the element after t days.358 f(t)b. Write the function from part a in the form y=Yo500c. Use the answer from part a to find the half-life of the element.a. The exponential equation in the form y=yoekt is(Round to three decimal places as needed.) Let x be a binomial random variable with p = 0.1 and n = 10. calculate the following probabilities A serious environmental hazard, acid mine drainage is the result of chemical weathering of pyrite that yields ________ and ________ that will degrade aquatic habitats. Help me with this. I am really stuck. Identify many ways Poe describe the pendulum. I will give much of extra points and a Brainly. A user is setting up a home wireless network. a global address is to be used in nat translations for traffic flowing through the wireless router. how is this global address assigned? In your OWN words, please write summary for a book you have read. It must be suitable for a 7th grader. Please refrain from spoiling the plot, as some students may want to read it. Early in the story, "The Man to Send Rain Clouds" Leon tells Father Paul, "Everything is o.k. now." He withholds important information from him. Why do you think he does this? Suppose that currently 80 million hamburgers are being produced and sold at a price of $2.50. this outcome in the market for hamburgers is economically because:_________ what is the number of consonants cluster in this word: spread