Consider the following lambda calculus expression, (Ax. y ly. xy .x.xy) (Az. z) (Az. w) Make parentheses explicit in the above expression. Enter your answer here Give a valid a-conversion for the expression

In heather's physics class, she had to solve the equation 7=12at2+ut for u. The correct answer is B.

A formula known as an equation uses the equals sign to express how two expressions are equal. Finding the values of the variables that result in the equality is the first step in solving an equation with variables.

The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions.

The equation 7 = 1/2 at² + ut can be solved as follows:

7 = 1/2 at² + ut

First we can subtract 1/2 at² from each side

7 -1/2 at² =  1/2 at² + ut - 1/2 at²

7 -1/2 at² = ut

Then we must divide by t

(7 -1/2 at²)/t = ut/t

Then we can solve it

(7 -1/2 at²)/t = u

Your question is incomplete the missing option attached below

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For a substance to change phase, it must either gain or lose thermal energy.

This can be achieved in several ways, including:

Heating or cooling: When a substance is heated, its temperature increases, causing the molecules to move faster and eventually overcome the intermolecular forces holding them in place. This leads to a change in phase, such as from solid to liquid or from liquid to gas. Conversely, cooling a substance can cause its molecules to slow down and solidify.

Pressure: Changing the pressure on a substance can also cause it to change phase. Increasing the pressure on a gas will cause it to condense into a liquid, while decreasing the pressure can cause a liquid to boil and become a gas. Similarly, changing the pressure on a solid can cause it to change into a liquid or gas.

Evaporation: When a liquid is heated, some of its molecules will escape into the surrounding air and become a gas, a process called evaporation.

The specific conditions required for a substance to change phase will depend on the substance's unique properties, including its boiling point, melting point, and vapor pressure.

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The cyclists displacement when he  rides a bicycle 4.0 km west, then 3.0 km north is 5km towards north-west.

Given the distance he travels towards west (d1) = 4km

The distance he travels towards north (d2) = 3km

An object's position changes if it moves with respect to a reference frame. Displacement describes this shift in location. The word "displacement" denotes the movement or displacement of an object. The displacement is the shortest distance covered in a certain direction. If we assume the distances he travelled as two sides of triangle then we the displacement which is the hypotenuse side.

So, displacement = √4^2+3^2 = 5km

The direction the cyclist travels is north-west and covers 5km.

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If a composite object is electrically neutral, that means it has an equal number of positive and negative charges.

Electricity is a form of energy that results from the movement of charged particles, such as electrons. It is the flow of electric charge through materials that conduct electricity, such as metals. Electricity has several key properties, including voltage, which is a measure of the energy per unit charge, and current, which is the flow of charge through a material. Electricity can be generated through a variety of methods, including chemical reactions, thermal processes, and electromagnetic induction. It is used to power a wide range of devices and systems, from light bulbs and computers to power plants and electric vehicles. Electricity has revolutionized the world, making it possible to transmit energy over long distances, power machines, and communicate instantly with people anywhere on the planet.

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k = - F/x = - (2 0.05 N) / (25 0.05 cm) = - (2 0.05 N) / (0.25 0.0005 m) = - 8.0 N/m 2.7 is the value of the spring constant. The spring's stiffness is indicated by the spring constant, k.

If the data are not independent, there are statistical techniques for calculating the standard deviation uncertainty.

But in general, this is far more challenging. There are academic articles and books on it.

But at this point in my life, my skills in this area have deteriorated, and I am beyond help.

And unless you are enrolled in a course on the subject of error propagation and sensitivity, I guess it is also beyond what you wish to do.

See:

2) Sensitivity and Doubt

The spring constant is therefore best calculated as follows: k = - F/x = - (2 0.05 N) / (25 0.05 cm) = - (2 0.05 N) / (0.25 0.0005 m) = - 8.0 N/m 2.7%

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The type of collision is elastic collision.

An elastic collision is a type of collision in which the total kinetic energy of the colliding objects remains constant. In an elastic collision, the objects bounce back after impact without any permanent deformation, and their kinetic energy is unchanged.

Here are some key features of elastic collisions:

Therefore, The type of collision is elastic collision.

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Sodium chloride conducts electricity when it is molten or in its aqueous form because it dissociates into ions, (Na+) and (Cl-), which are free to move and carry electrical charge. The movement of these ions creates an electric current and allows for the flow of electricity.

Electric current is the flow of electric charge through a material, usually a conductor such as a metal wire. It is often measured in amperes (A) and is a measure of the rate at which electric charge flows through a circuit. The flow of electric charge is due to the movement of electrons in a conductor and is what enables the transfer of electrical energy from one point to another.

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Total translational kinetic energy = 4.7 x 10-19 J

Total mass = 2.0 x 10-15 kg

Amount of water = 0.7 x 2.0 x 10-15 kg = 1.4 x 10-15 kg

Amount of other molecules = 0.3 x 2.0 x 10-15 kg = 6.0 x 10-17 kg

Average molecular mass of other molecules = 105 u

Number of other molecules = 6.0 x 10-17 kg / (105 u/6.022 x 1023) = 1.3 x 10-20 mol

Average translational kinetic energy of an e. coli bacterium = (3/2) kT

= (3/2) x 8.31 J/molK x 310 K

= 362.68 J/mol

Total translational kinetic energy = 1.3 x 10-20 mol x 362.68 J/mol

= 4.7 x 10-19 J

What is kinetic energy?

Kinetic energy is the energy of a moving object, which is equal to the work done to accelerate the object from rest to its current velocity. It is directly proportional to the mass of the object and to the square of its velocity.

Therefore, Total translational kinetic energy = 4.7 x 10-19 J

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Answer: No

Explanation:

A chemical for formula is combined of atomic that is has a chemical compounds

Yes, Jupiter could hold on an atmosphere of hydrogen molecules if you moved it to 0.5AU from the Sun because the gas velocity of hydrogen of 2691 m/s is less than the escape velocity of Jupiter of 9916 m/s.

Escape velocity is the minimum speed that an object must have in order to overcome the gravitational pull of a planet or moon and escape into space. It is a measure of the strength of the gravitational field at a given distance from the center of a celestial body.

The escape velocity is determined by the mass and radius of the planet or moon, and it increases as the mass and radius of the celestial body increase. For example, the escape velocity of Earth is about 11.2 km/s, while the escape velocity of Jupiter is about 60 km/s, due to its much larger mass and radius compared to Earth.

Therefore, Yes, Jupiter could hold on to an atmosphere of hydrogen molecules if you moved it to 0.5AU from the Sun because the gas velocity of hydrogen of 2691 m/s is less than the escape velocity of Jupiter of 9916 m/s.

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The time elapsed is 30.77 seconds in changing the velocity from 30 m/s to 126 km/h.

Initial velocity, u = 30 m/s

Final velocity, v = 126 km/h = 126 × (5/18) = 35 m/s

Distance travelled, S = 1 km = 1000 m

Let the acceleration,  a

By the third equation of motion, v² = u² + 2as

35² = 30² + 2 × a ×1000

a = (35² - 30²)/2000

a = 0.1625 m/s²

Now let the time elapsed is t. Then by the first equation of motion.

v = u + at

t = (v - u)/a

t = (35 - 30)/0.1625

t = 30.77 seconds

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Patrick's average velocity for the trip is 0.41 m/s along southeast.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Resultant displacement of Patrick = √(70² +20²) meter southeast

= 72.801 meter southeast.

Total time interval = 150 second + 30 second = 180 second

Hence, his average velocity for the trip is = resultant displacement/ Total time interval

= 72.801 meter ÷ 180 second

= 0.41 m/s along southeast

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Jason rode his bicycle at 10 m/s to the east is a scalar quantity.

It is possible to express in words how an object moves. There are many terminologies that can be used to describe moving objects, even for those without a background in physics.

A adequate vocabulary for expressing the motion of objects is provided by words and expressions like "moving quickly," "stopped," "slowing down," "speeding up," and "turning."

We will add terms like distance, displacement, speed, velocity, and acceleration to this vocabulary list.

Therefore, Jason rode his bicycle at 10 m/s to the east is a scalar quantity.

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Joaquin reduces his force by using the lever by applying 208 N of force.

By using a lever with a mechanical advantage of 3,

Joaquin needs to apply only 1/3 of

The force he would need to lift the crate directly.

This means he needs to apply only 312 N / 3 = 104 N.

Therefore, Joaquin saves

312 N - 104 N = 208 N of force by using the lever.

The force amplified by utilising a tool, mechanical device, or machine system is known as mechanical advantage. To achieve the necessary output force amplification, the gadget trades off input forces against movement. The law of the lever serves as a paradigm for this.

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The debris is 128 m ahead, the car will hit the debris

4.36 s  it take for the ball to strike the ground.

To find the distance the car will travel before stopping, we can use the formula for distance under constant acceleration:

d = v0 * t + (1/2) * a * t^2

where v0 is the initial velocity (85 miles/hour = 38.05 m/s), a is the acceleration (-8.5 m/s^2), and t is the time it takes to stop.

We can rearrange this equation to solve for t:

t = (-v0 ± √(v0^2 + 2ad)) / a

where the negative sign is used since the acceleration is negative (meaning the car is slowing down).

Plugging in the values, we get:

t = (-38.05 ± √(38.05^2 + 2(-8.5)(128))) / -8.5

t = (4.17 s)

Next, we can use this time to calculate the distance the car will travel:

d = v0 * t + (1/2) * a * t^2

d = 38.05 * 4.17 + (1/2) * -8.5 * 4.17^2

d = 159.47 m

Since the debris is 128 m ahead, the car will hit the debris.

To find the time it takes for the ball to strike the ground, we can use the formula for vertical motion under constant acceleration:

h = v0 * t + (1/2) * a * t^2

where h is the height of the building (122 m), v0 is the initial velocity (15.8 m/s), a is the acceleration due to gravity (-9.8 m/s^2), and t is the time it takes to fall.

We can rearrange this equation to solve for t:

t = √(2h / a) = √(2 * 122 / -9.8) = 4.36 s.

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The dimensional formulae of

a) du/dt is -LT⁻²

b) d²u/dx dt is -T⁻²

c) ∫(du/dt) dx is -L²/2T² +C

Dimensional formulae for velocity, length and time are:

Velocity = Distance/Time = LT⁻¹

Length = L

Time = T

a) du/dt:

du = d( LT⁻¹)

dt = d(T)

du/dt = d( LT⁻¹)/d(T) = -LT⁻²

b) d²u/dx dt:

d²u = d²(LT⁻¹)

dt = d(T)

dx = d(L)

d²u/dx dt = d²(LT⁻¹)/d(L) d(T) = -T⁻²

c) ∫(du/dt) dx:

du = d( LT⁻¹)

dt = d(T)

dx = d(L)

du = d( LT⁻¹)

∫(du/dt) dx = ∫ (-LT⁻²)d(L) = -L²/2T² +C

Thus, the dimensions in MLT system are formulated.

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Answer:

-( 4 *e^4 /u )/u^2

Explanation:

d/du(e^4/u)= -( 4 *e^4 /u )/u^2

After differentiating the function we get,

[tex]\large f'(u)=\frac{-4}{u^2}*e^\frac{4}{u}[/tex].

What is differentiation?

Apart from integration, differentiation is one of the two key ideas of calculus. A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time. Finding an antiderivative is the opposite of differentiation.

The rate of change of x with respect to y is given by dy/dx if x and y are two variables. The universal representation of a function's derivative is given by the equation f'(x) = dy/dx, where y = f(x) is any function.

[tex]f(u)=e^\frac{4}{u}[/tex]

[tex]\large f'(u)=e^\frac{4}{u}*\frac{d(4/u)}{du}[/tex]

[tex]\large f'(u)=\frac{-4}{u^2}*e^\frac{4}{u}[/tex]

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The required value of linear charge density of a thin wire bent into a circle is 0.00077 μc/m.

The wire is curved into a circular form.

The radius of the circle is given as R = 6.59 cm = 6.59 × 10⁻² m

The total charge on the wire Q = 3.2 µc = 3.2 × 10⁻⁶ c

The relation between total charge, radius and linear charge density is known as,

Q = 2 π R α

where, Q is the total charge

R is the radius of the wire bent into a circle

α is linear charge density

Making α as subject, we have,

α = Q /(2 π R) = (3.2 × 10⁻⁶)/(2 π ×6.59 × 10⁻²) = (3.2 × 10⁻⁶)/(41.41 × 10⁻²) = 0.077 × 10⁻⁴ c/m = 0.00077 μc/m

Thus, the value of linear charge density of a thin wire is calculated to be 0.00077 μc/m

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The amount of heat released is 180J if a 10.0-gram piece of aluminum is cooled from 70 degrees Celsius to 50 degrees Celsius

Given the mass of aluminum (m) = 10g

The initial temperature (T1) = 70°C

The final temperature is (T2) = 50°C

The specific heat of aluminum is (C) = 0.9J/g°C

We know that q = mcΔT where q is the heat released.

Specific heat, the amount of energy needed to raise a substance's temperature by one degree Celsius in one gram.

q = 10 x 0.9 x (70 - 50)

q = 180J

Hence the heat released when the temperature of aluminum is decreased is 180J

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When the railroad car spring is compressed 10 cm, it stores 16,666.7 J of elastic potential energy.

The energy stored in a spring can be calculated using the formula for elastic potential energy, which is given by U = 1/2 k x^2, where U is the elastic potential energy, k is the spring constant, and x is the displacement from the spring's rest position.

Given that the spring requires 10,000 N to be compressed 3.0 cm,

we can calculate the spring constant, k, using the equation F = kx,

where F is the force and x is the displacement.

Solving for k,

we find that k = F/x = 10,000 N / 3.0 cm = 3,333.3 N/cm.

Now that we have k, we can calculate the energy stored in the spring when it is compressed 10 cm.

Using the formula for elastic potential energy, U = 1/2 k x^2,

we find that U = 1/2 * 3,333.3 N/cm * (10 cm)^2 = 16,666.7 J.

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If speed s as well as rate r are identical, then r = s = d/t. You can substitute d = rt, which stands for "distance equals rate times time," in place of the this formula. Use the speed formula, s = d/t.

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

Use the speed formula, s = d/t, which stipulates how speed is equal to distance divided by time, to calculate either speed or rate. Use the time formula, t = d/s, which stipulates because time is equal to distance divided by speed, to solve for time. Companion Calculators Strength is a metric that is misunderstood. Tensile strength will be dragged up through one boater.

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The formula for converting temperature 85 degrees Celsius to Fahrenheit is a linear function: [°F] = ([85] x 9 5) + 32. As a result, we get: 85 C to F = 185 °F

What exactly is temperature?

Temperature, like any other physical quantity, is defined as the measurement of the warmth or coldness of a substance or object in relation to some standard value. Temperature, while used to express hot and cold conditions, is usually measured with a thermometer marked in several temperature scales, the most common of which are Celsius and Fahrenheit. There are a variety of other temperature units.

What is the SI Temperature Unit?

The SI unit of temperature is Kelvin, which is represented by the symbol K in the International System of Units. The Kelvin scale is widely accepted or used in science and engineering. Temperature is usually measured in degrees Celsius or Fahrenheit in most parts of the world.

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The statement that is true concerning the strength of the electric field between two oppositely charged parallel plates is : It is the same everywhere between the plates if any edge effect is ignored. Option A. is the correct answer.

This refers to a quantity used to express the intensity of an electric field at a particular location. The standard unit is the volt per meter (V/m or V·m-1). A field strength of 1 V/m represents a potential difference of 1 V between points separated by 1 meter. It is also called electric field intensity.

strength of the electric field is calculated using the formula :

E = F/q

Where,

E = strength of the electric field

F = Force in Newton

q = Charge in Columbus

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The kinetic energy of the runner is: 685.89 Joules

It is the energy possessed by a body due to its relative motion. It is usually expressed in Joules (J).

The kinetic energy formula and the procedure we will use is:

K.E. = 1/2 * m * v²

Where:

Information of the problem:

Applying kinetic energy formula we get:

K.E. = 1/2 * 62.1 kg * (4.70 m/s)²

K.E. = 1/2 * 62.1 kg * 22.09 m²/s²

K.E. = 685.89 kg*m²/s²

K.E. = 685.89 Joules

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Specific heat or specific heat capacity of a body is the amount of heat required for a unit mass of body to raise the temperature by 1 degree Celsius

The ease with which a material's temperature varies when it loses energy can be described using specific heat capacity. A lot of energy is required to adjust the temperature of materials with high specific heat capacity.

The composition of a body affects its specific heat, specific heat can be calculated using the provided heat energy. Hence The rise in temperature has no bearing on specific heat.

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kcal/kg specific heat capacity = 5 J/°C.Its 5 J/kg°C specific heat capacity follows from this.

A substance's specific heat capacity can be determined using the formula below:Inferring the substance's specific heat capacity from this data and the formula above is as follows:

= 5 J/kg °C

where:

C is the specific heat capacity.

Q = thermal energy

m equals material mass

T is the temperature change.

Q = 5200J, m = 2kg, and T = 47 - 42 = 5°C are all values we may deduce from the question.

Inferring the substance's specific heat capacity from this data and the formula above is as follows:

= 5 J/kg °C

Its 5 J/kg°C specific heat capacity follows from this.

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The enthalpy of 36 g g of water vapor increases by 1830 j j when its temperature increases from 150∘c to 175∘c is 1830 J.

The enthalpy of 36 g of water vapor increases by 1830 J when its temperature increases from 150°C to 175°C. Assuming water vapor is an ideal gas, the change in enthalpy can be calculated using the following equation:

ΔH = Cp * m * ΔT

Where Cp is the specific heat capacity of the gas, m is the mass of the gas, and ΔT is the change in temperature. In this case, Cp = 1.88 J/g°C, m = 36 g, and ΔT = 25°C. Therefore, the change in enthalpy is:

ΔH = 1.88 * 36 * 25 = 1830 J.

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The initial velocity of the particle is the value of v at t = 0, which is given by the equation v = v0. Therefore, v0 is the initial velocity of the particle. Hence, the initial velocity is 0.5m/s.

Velocity is the rate of change of an object’s position relative to a frame of reference, and is a function of time. It is usually described in terms of the speed and direction of an object's movement. Velocity can be either a vector quantity (having both magnitude and direction) or a scalar quantity (just magnitude). Initial velocity is the velocity of an object at the start of its motion. To calculate the initial velocity of an object, you will need to know the final position, final velocity, acceleration, and time.

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complete question: A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call v the velocity and a the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion, respectively. What is the initial velocity of the particle, v0 ?

The recoil speed of the hunting rifle is found to be 2.06m/s.

The bullet is fired from the hunting rifle.

The mass of the bullet is 0.163 kg and it is fired at a speed of 812m/s.

The mass of the rifle is 2.06kg.

We know, from the conservation of momentum,

Initial momentum = final momentum

mv = MV

M = mass of rifle

V = recoil speed of the rifle

m = mass of bullet

v = speed of bullet.

Putting values,

0.163 x 812 = 2.06V

V = 6.42 m/s.

So, the recoil speed of the rifle is 6.42m/s.

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Complete question - A 30-60 caliber hunting rifle fired bullet of mass 0.163kg with a velocity of 812 m/s to the right the rifle has a mass of 2.06kg. what is the recoil speed of the rifle after bullet leave the rifle?

When imagining two identical houses, one located at the top of a hill and the other at the bottom of a valley, it is important to consider several factors before determining which one would be the preferred location to take a shower.

One of the primary factors to consider is the water pressure. Generally, the higher the elevation, the lower the water pressure. If the house at the top of the hill is located at a significantly higher elevation than the house at the bottom of the valley, then it may have lower water pressure, making for a less enjoyable shower experience.

Another factor to consider is the temperature of the water. In some cases, the water temperature can be affected by the location of the house and the proximity to a water source.

In addition to water pressure and temperature, the quality of the shower itself is also an important factor to consider.

This includes the size of the shower, the type of showerhead, and the overall cleanliness and maintenance of the shower. If both houses have identical showers, then this factor becomes less of a concern.

In conclusion, while the location of the house (top of a hill or bottom of a valley) may play a minor role in determining the quality of the shower, it is not the deciding factor.

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