When selected randomly without replacement the probability that the first 2 selected are white and the last 2 black is 6/91
Given that,
No. of white balls = 6
No. of black balls = 9
Total number of balls = 15
Probability of 1st ball being white = 6/15
Probability of 2st ball being white = 5/14
(Since one white ball is already picked)
Probability of 3rd ball being black = 9/13
(Since two white balls are already picked)
Probability of 4th ball being black = 8/12
(Since two white balls and one black ball is already picked)
The probability that the first 2 selected are white and the last 2 black
= 6/15 * 5/14 * 9/13 * 8/12
= 6/91
Therefore, when selected randomly without replacement the probability that the first 2 selected are white and the last 2 black is 6/91
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The number of calories that you can eat a day without gaining weight depends on your _____.
The number of calories that you can eat a day without gaining weight depends on your activity level
For there to be a balance between the number of calories consumed through food and weight gain, it is important to maintain a good level of physical activity that helps us to maintain a healthy weight and at the same time does not allow an increase in weight and body mass.
All this is because the relationship between daily calories consumed and weight gain is directly proportional to the level of physical activity that we do.
What is body mass?It is the amount of mass associated with a person's body
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What is the acceleration of an object traveling a constant 50 m/s for 15 s?
Answer:
Explanation:
0 m/s^2 is the answer
Answer:
Zero
Explanation:
Constant speed involves zero acceleration ( which is a change in speed)
Neutron stars and black holes are formed by:_____.
a. the star formation process.
b. mass transfer in binary star systems.
c. novae.
d. type i supernovae.
e. type ii supernovae.
The correct option is type ii supernovae.
Neutron stars and black holes are formed by type II supernovae.
What is type II supernovae?A large star's quick collapse and ferocious explosion produce a Type II supernova. To experience this kind of explosion, a star's mass must be at least 8 times that of the Sun, but no more than 40 to 50 times. The presence of hydrogen in the spectra of type II supernovae sets them apart from other types of supernovae. They are typically found in galaxies' spiral arms and H II regions, but not in elliptical galaxies, which are typically made up of older, low-mass stars and have less of the young, extremely massive stars required to produce supernovae.Learn more about the Type I and II supernova with the help of the given link:
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The primary coil of an ideal transformer has 100 turns and its secondary coil has 400 turns. if the ac current in the secondary coil is 2 a, what is the current in its primary coil?
According to the given statement The current in the primary coil is 8 A.
Definitions of primary coil:Coil that is a component of an electrical circuit and which, when its current changes, causes a current to flow through a nearby circuit. primary and primary winding are synonyms kind of coil. Device that adds inductance to a circuit and is made of of a spiral of insulated wire.
Why is a primary coil used?AC electricity enters the primary coil here Where the current is induced to carry out any sort of energy transfer is in the secondary coil. In this instance, a light bulb is lit by the current. Transformers come in a variety of designs.
Here,
Number of turns in the primary , np = 100 turns
Number of turns in the secondary , ns = 400 turns
Current in the secondary , Is = 2 A
let the current in the primary coil be Ip
Ip * nP = Is * ns
100*np = 400*2
np = 8 A
The current in the primary coil is 8 A.
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Picture attached please help! The tea kettle has the spout closed. When put over heat, the water in the kettle begins to boil. What happens to the steam.
Answer:c
Explanation: the law of conservation of mass states that mass can niether be created nor destroyed and if there is a plug the steam has to go somewhere
Answer:
C. The steam will fill up the container it is in because gas does not have a definite size.
Explanation:
What is the acceleration of a car travelling with a constant speed of 6o mph on a curved road that has 400 ft radius?
A car traveling at a steady speed of 60 mph on a curved road with a 400-foot radius experiences an acceleration of a=19.36 feet per second.
How does acceleration work?Acceleration is the rate of change in a moving object's speed and direction over time. When something moves faster or slower, it is considered to be accelerating. Motion on a circle accelerates even while the speed is constant because the direction is always changing.
What are the three different forms of acceleration?Any change in an object's velocity causes an acceleration, whether it be an increase in speed (what most people refer to as acceleration), a decrease in speed (also known as a deceleration ), or a change in direction (called centripetal acceleration ).
Speed
V=60mph
V=60*1.4667
V=88 ft/s
Acceleration
a= v²/r
a=88²/400
a=19.36ft/s²
A car traveling at a steady speed of 60 mph on a curved road with a 400-foot radius experiences an acceleration of a=19.36 feet per second.
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If three molecules of tetrodotoxin have a mass of 1.59 x 10-21 g, what is the molecular formula of tetrodotoxin?
Molecular formula = (C11 N3 H17 O8)1
M(tetrodotoxin) = 6*10^23 x 1.59 x 10^-21 g/3 molecules = 318g/mol
mass of Emperical formula =
11*12.011 + 3*14.007 + 17*1.008 + 8*15.999 = 318g/mol
Molecular formula = (Emperical formula)x
Simple numbers for each sort of atom in a molecule of a molecular substance are shown in molecular formulas. They are equivalent to empirical equations for compounds with more than one type of atom but only one of that type overall.
where x is equal to = molar mass/mass of Emperical formula
x = 318/318 = 1
Molecular formula = (C11 N3 H17 O8)1
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What is the wavelength of the photon emitted by an excited hydrogen atom where m =12 in the balmer equation?
The wavelength of the photon is 377nm.
What is the Balmer series?The Balmer series is the series that begins or ends at n=2. It is one of the series of the hydrogen spectrum.
Now;
1/λ = RH([tex]\frac{1}{n_{2} ^{2} }[/tex] - [tex]\frac{1}{n_{1} ^{2} }[/tex])
λ = Wavelength
RH = Rydberg constant for hydrogen
[tex]n_{2[/tex] = final energy level
[tex]n_{1}[/tex] = initial energy level
1/λ = 1.097 * 10^7(1/2^2 - 1/12^2)
1/λ = 1.097 * 10^7(0.25 - 0.0069)
λ = 3.77 * 10^-7 m or 377nm
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Two identical cylinders at the same pressure contain the same gas. if cylinder a contains three times as much gas as cylinder b, which cylinder has the higher temperature?
By ideal gas theory, cylinder b has the higher temperature.
We need to know about the ideal gas theory to solve this problem. The ideal gas can be represented by
P . V = n . R . T
where P is the pressure, V is volume, n is the number of molecules, R is the ideal gas constant and T is temperature.
From the question above, we know that
Pa = Pb = P
na = 3nb
Find the temperature of the cylinder a
P . V = n . R . Ta
Ta = P . V /( na . R )
Substitute na
Ta = P . V /( (3nb) . R )
Ta = (1/3) x (P . V /( (nb . R ))
Find the temperature of the cylinder b
P . V = n . R . Tb
Tb = P . V /( nb . R )
The cylinder a temperature is 3 times smaller than the temperature in cylinder b.
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By locating the north celestial pole (ncp) in the sky, how can you determine your latitude?
By locating the north celestial pole (ncp) in the sky, we can determine the latitude as the altitude of the NCP is the same as your latitude.
What is a latitude?A point on the surface of the Earth or another celestial body is given a latitude coordinate, which indicates its north-south location. Latitude is measured as an angle, with 0° at the Equator, and values ranging from -90° at the south pole to 90° at the north pole. A circle that runs parallel to the equator in both directions are lines of constant latitude, or parallels. An Earth surface location can be identified by its latitude and longitude when used as a pair of coordinates.
Typically, the word "latitude" used by itself refers to the geodetic latitude as described below. The angle created between the vector perpendicular (or normal) to the ellipsoidal surface from the point and the geodetic latitude of a point is, in a nutshell, what we refer to as latitude.
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A plane flies with a velocity of 50 m/s west through a 20 m/s crosswind blowing the plane south. Find the magnitude and direction of the resultant velocity at which it travels.
Answer:East
Explanation:
If you use a horizontal force of 30n to slide a 12kg wooden crate across a floor at a constant velocity. what is the coefficient of kinetic friction?
The coefficient of kinetic friction is 0.255.
The ratio of the friction force to the normal force felt by a body moving on a dry, uneven surface is known as the kinetic friction coefficient (k).
Equation :Wb = Mg = 12 X 9.8 = 117.6 N. = Normal
force, Fn.
Fx-Ff = Ma.
Since the velocity is constant, the acceleration is zero.
Fx-Ff = MX0 = 0.
Ff = Fx = 30 N.
Ff = uXFn.
u = Ff/Fn = 30/117.6 = 0.255.
The coefficient of kinetic friction is 0.255
Kinetic Friction :Kinetic friction is a force that exists between moving surfaces. A body moving on the surface feels a force in the reverse direction of its movement. The magnitude of the force is determined by the kinetic friction coefficient of the two materials.
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What information about an atom can be determined from its parts?
Chemicals cannot be used to divide atoms. Even though they are made up of protons, neutrons, and electrons, an atom is the fundamental chemical unit of matter. Atoms can disintegrate as a result of nuclear processes like a fission and radioactive decay.
A negative electrical charge accompanies every electron. There is a positive electrical charge on each proton. A proton's charge and an electron's charge have the same magnitude but different signs. Protons and electrons are drawn to one another by electrical forces. Protons and protons, as well as electrons and electrons, repel one another.
Electrical neutrality applies to each neutron. In other words, neutrons don't have a charge and aren't drawn to protons or electrons electrically.
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_____ heat transfer occurs due to rapid collisions of atoms in a solid.
Convection
Radiation
Solar
Conduction
During each cycle of operation, a refrigerator absorbs 257 j of heat from the freezer and expels 465 j of heat to the room. how much work input is required in each cycle?
Work input is required in each cycle w = 208j
Here can explain as ,according to the law of conservation of energy , the total heat given off the surrounding by a refrigerator is equal to the work done by the refrigerator and the heat removed from the inside of a refrigerator .i.e. the addition of heat removed or absorbs and work done by the refrigerator is equal to the heat expelled to the room during each cycle. It can be shown as ,
[tex]Q_{h}[/tex] =[tex]Q_{c}[/tex] + [tex]W[/tex]
Where,
[tex]W[/tex] is work input of refrigerator during each cycle.
[tex]Q_{c}[/tex] is the heat removed or absorbed by the refrigerator.
[tex]Q_{h}[/tex] is heat expelled to the room during each cycle.
Given here,
[tex]Q_{c}[/tex] = 257 j
[tex]Q_{h}[/tex] = 465 j
Therefore from above equation can be find the value of work input by the refrigerator in each cycle,
[tex]W[/tex] =[tex]Q_{h}[/tex] - [tex]Q_{c}[/tex]
w = (465 j) -(257 j)
w= 208j
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According to newton's second law, if you double the force acting on a body, the acceleration will double.
a. true
b. false
It is the true statement, that if we double the force acting on a body, the acceleration will double.
What is acceleration?In terms of both speed and direction, acceleration is the rate at which velocity varies over time. Acceleration refers to the change in speed or direction of an item or point travelling straight forward. Due to the constant change in direction, motion on a circle accelerates even while the speed is constant. Both impacts help to accelerate all other types of motion.
In order to be a vector quantity, acceleration must have both a magnitude and a direction. As a vector quantity, velocity is also. A time interval's velocity vector change divided by that interval's duration is the definition of acceleration.
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Julian is having trouble coping with stress and setting goals. what is he most likely struggling with?
Julian is having trouble coping with stress and setting goals. He is most likely struggling with emotional heath.
How we feel and think affects our emotional well-being. It is about how we feel about ourselves, how we handle difficult situations, and how we acknowledge both our own and other people's feelings.
This comprises resilience, self-acceptance, self-esteem, and the capacity to control intense emotions. Social. Friends are crucial because they make our life more enjoyable, companionable, and supportive.
Emotional stability is a state of calmness and emotional control. Resilience is the capacity to handle life's hardships. optimism: having a good outlook on life and the future. Self-esteem is the attitude you have toward oneself.
Depression, anxiety, stress, having a negative body image, grieving a loss, becoming a new parent, and other significant life changes can all have an impact on your mental and emotional well-being.
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In a certain process, 400 j of heat is added to a system and the system simultaneously does 100 j of work. the change in internal energy of the system is:_________
The internal energy change is 300 joule.
We need to know about internal energy change to solve this problem. The internal energy change in the system can be determined by this equation
ΔU = Q - W
where ΔU is internal energy change, Q is heat transfer and W is work done.
From the question above, we know that
Q = 400 joule
W = 100 joule
By substituting the parameters, we get
ΔU = Q - W
ΔU = 400 - 100
ΔU = 300 joule
Hence, the internal energy change is 300 joule.
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For a relative frequency distribution, relative frequency is computed is computed as ____________.
Answer:
For a relative frequency distribution, relative frequency is computed as the class frequency divided by the number of observations.
Tyndall and cohn's experiments in the 1870s showed the presence of a heat-resistant form of bacteria called a(n):_________
Tyndall and cohn's experiments in the 1870s showed the presence of a heat-resistant form of bacteria called an endospores.
What is heat resistance bacteria?
These are bacteria that thrive in temperatures above 131 degrees Fahrenheit (55 Celsius).
Ferdinand Cohn discovered the heat-resistant endospores of bacilli, and was active in applied microbiology.
Thus, Tyndall and cohn's experiments in the 1870s showed the presence of a heat-resistant form of bacteria called an endospores.
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A ball is thrown vertically downward with an initial speed of 15.8 m/s from a building whose height is 122 m. how long does it take for the ball to strike the ground?
A ball is thrown vertically downward with an initial speed of 15.8 m/s from a building whose height is 122 m. It takes the ball 3.63 s to strike the ground.
Vertical Motion:Because the object is moving downhill vertically, the motion has a negative acceleration value as well as a negative velocity value.
A quadratic function with concavity downwards can be used to represent both this kind of motion and the motion of the object thrown above.
Answer and justificationh = h0 - v0t - [tex]\frac{gt^2}{2}[/tex]
so putting all the values, we have,
0 = 122 - 15.8t - 4.9 [tex]t^{2}[/tex]
then we know the formula,
t= [tex]\frac{-b±\sqrt{b^2-4ac}}{2a}[/tex] here a=-4.9 b= -15.8 c =122
now putting all the values, we have
t= 3.63 s
So, In 3.63 seconds, the ball lands on the ground.
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For an object being launched at ground level at a tilted non-zero initial velocity, is the velocity zero anywhere? are the horizontal or vertical components of the velocity zero at any point?
The correct answer No the velocity is not zero anywhere For an object being launched at ground level at a tilted non-zero initial velocity, and horizontal or vertical components of the velocity is zero at maximum height .
Because velocity is a vector (it has magnitude and direction), the overall velocity of an object can be calculated by adding the x and y components: v2 = vx2 + vy2. Meters are used to express horizontal and vertical distances (m). The horizontal velocity component (vx) describes the effect of velocity on horizontal displacement of the projectile.
The vertical velocity component (vy) describes the effect of velocity on vertical displacement of the projectile. The vertical component of a projectile's velocity is momentarily zero (vy = 0 m/s) when it reaches maximum height. The horizontal component of its velocity, however, is not zero.
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A car is just starting up from a stop sign and has zero velocity at the instant that it starts. must the acceleration of the car also be zero at this instant?
Yes. hence the change in velocity is acceleration. There won't be a change in velocity if there is no velocity.
With an example, what is acceleration?It is possible for an object's velocity to alter by increasing, decreasing, or changing its direction of motion. A few instances of acceleration include an apple falling to the ground, the moon orbiting the earth, and a car coming to a stop at a set of traffic lights.How is acceleration measured?A metre per second per second (m/s2) is used to measure acceleration.The snewton is the unit of force responsible for producing an acceleration of one meter per second per second when applied to a mass of one kilogram.learn more about acceleration here
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The distance between mankato, mn, and duluth, mn, is approximately 237 miles one way. how far is that in kilometers?
The distance between Mankato and Duluth is 237 miles i.e. equal to 381.415 kilometer approximately.
Distance can be define as, the total movement of an object without any regard to direction. Thus in very simple word the distance between two points is the length of the line segment that connects them. The distance between two points is always positive.
A line segment is a term of geometry that, the part of a line having two endpoints
The distance between Mankato and Duluth = 237 miles
1 miles = 1.60934 kilometers
237 miles = 237 × 1.60934 kilometers
237 miles = 381.41358 kilometers
Therefore ,we can write the distance between Mankato and Duluth in kilometers is 381.4 kilometers.
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The closest position taken by the earth relative to the sun is ________ million kilometers.
Answer:
Earth's distance from the sun changes
In early January, Earth reaches its closest position to the star. Astronomers call this point perihelion, and at this time Earth is about 91.4 million miles (147.1 million km) away from the sun, according to NASA (opens in new tab).
Sunlight is the energy source for the light reactions. the energy sources for the carbon reactions are:________
Sunlight is the energy source for the light reactions.
The energy sources for the carbon reactions are NADPH and ATP.
Energy - The ability to do work.
ATP - Adenosine triphosphate
energy currency of the cell.produced by cellular respiration.chemical formula - C10H16N5O13PNADPH - Nicotinamide adenine dinucleotide phosphate.
main reducing power of the cell.produced by pentose phosphate Chemical formula- C21H29N7O17PATP and NADHP are used to fix the carbondioxide (CO₂)
They are produced during the light reaction of photosynthesis.
Overall purpose of the reaction is to convert solar energy to chemical energy.
The energy sources for the carbon reactions are NADPH and ATP.
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The hydrogen stored inside a large weather balloon has a mass of 135.5 g. what is the volume of the balloon (l) if the density of hydrogen gas is 0.089 g/l?
The volume of balloon will be 1522.5 cubic liter.
We have a hydrogen stored inside a large weather balloon of given mass and density.
We have to calculate the volume of balloon.
How is density and mass of body related ?The density and mass of body are related as follows -
M = ρV
where -
ρ - Density of Object.
M - Mass of Object.
V - Volume of Object.
According to the question →
Using the formula discussed above -
M = ρV
V = M/ρ
V = 135.5/0.089
V = 1522.5 cubic liter.
Hence, the volume of balloon will be 1522.5 cubic liter.
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Light with a frequency of 5.80 * 1014 hz travels in a block of glass that has an index of refraction of 1.52. what is the wavelength of the light (a) in vacuum and (b) in the glass?
Light with a frequency of 5.80 * 1014 hz travels in a block of glass that has an index of refraction of 1.52.
(a) Wavelength of the light in the vaccum is 5.17 X 10⁻⁷m
(b) Wavelength of light in glass is 3.40 X 10⁻⁷m
Equation :Given;
Frequency (λ) : 5.80 X 10¹⁴ Hz
Refractive index (η) = 1.52
(a) Wavelength of light λο = C/f
where, c = speed of light
f = frequency
λο = (3 X 10⁸ m/s)/5.8 X 10¹⁴ Hz
λο = 5.17 X 10⁻⁷
Wavelength of the light in the vaccum is 5.17 X 10⁻⁷m
(b) Wavelength of light in glass λ = λο/η
where, η = Refractive index
λ = λο/η = (5.17 X 10⁻⁷m) X 1.52 = 3.40 X 10⁻⁷m
Therefore, wavelength of light in glass is 3.40 X 10⁻⁷m
Wavelength :The distance between the two crests or troughs of the light wave is known as the wavelength of light. Using the Greek letter lambda (λ), it is identified. As a result, wavelength refers to the separation between one wave's crest or dip and the following wave.
Visible spectrum: The part of the electromagnetic wave that can be observed by human vision is known as the visible spectrum. The visible spectrum in the electromagnetic spectrum spans from the infrared to the ultraviolet regions. Between the infrared and ultraviolet wavelength ranges is where the visible light falls. From 400 nanometers (violet) to around 700 nanometers, the human eye can sense light (red). Other electromagnetic radiations are either outside the range of biological function or are too small or huge to be detected by the human eye.
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if a scientist wanted to determine the amount of space occupied by an object, she would measure its:
If a scientist wanted to determine the amount of space occupied by an object, she would measure its Volume
Volume in simple words can be called as a three dimensional area which is nothing but a measure of space occupied. Technically volume is the calculated by dividing the object's mass by its density.
V = m / ρ
The reason it cannot be mass or density is because a small amount of these quantities can occupy a larger space and a large amount of these quantity can occupy a smaller area. But in case of volume the space occupied is not based on matter present inside of it rather the physical appearance which is constant.
Therefore, if a scientist wanted to determine the amount of space occupied by an object, she would measure its Volume
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If the reaction is second order in a and second order in b, what is the rate when the initial concentration of [a] = 3.94 mol/l and that of [b] = 2.21 mol/l?
The rate of reaction is 75.82k mol / l s
We know that,
Rate = k [tex][a]^{x}[/tex][tex][b]^{y}[/tex]
Where,
k = Rate constant
x = Order of reaction of a
y = Order of reaction of b
Given that,
[a] = 3.94 mol / l
[b] = 2.21 mol / l
x = 2
y = 2
Rate = k * [tex]3.94^{2}[/tex] * [tex]2.21^{2}[/tex]
Rate = 75.82k mol / l s
Rate of reaction is the speed at which the reactants are converted to products.
Therefore, the rate of reaction is 75.82k mol / l s
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