An auto dealer has 4 different cars and 6 different trucks. how many ways are there to select two vehicles?

Answers

Answer 1

There are C different ways to choose two different automobiles (12, 2).

In mathematics, a choice is made from a set of various components where the order of the choices is unimportant (unlike permutations).

For instance, there are three conceivable combinations of two given fruits, such as an apple, an orange, and a pear: an apple and a pear; an orange and an apple; or an orange and a pear. Formally speaking, a set S's k unique components make up a subset known as a k-combination. In other words, two combinations are same only if all of their members are the same.

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Related Questions

Quantum Physics
Please answer correctly and step-by-step. Thank
you...
a )The electron of a hydrogen atom is in an eigenvalue of energy with quantum numbers n = 4,1 = 1, m = 1. List the eigenstates of the electron energy (n', l', m') to which the electron can spontaneous

Answers

Quantum physics is a branch of physics that focuses on the very small scale of matter, such as atoms and subatomic particles.

It is a fundamental field of study that aims to understand the behavior of these particles and the underlying principles that govern them.

The hydrogen atom consists of an electron that orbits around a positively charged nucleus. The electron's energy is quantized, meaning that it can only exist at certain energy levels that are determined by its quantum numbers.

The three quantum numbers that describe the electron's state are n, l, and m, which stand for the principal quantum number, the azimuthal quantum number, and the magnetic quantum number, respectively.

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Formulate a hypothesis on how the force between a pair of cars in a
train undergoing constant acceleration compares to the forces
between other cars in the same train.

Answers

The force between a pair of cars in a train undergoing constant acceleration is much more significant compared to the forces between other cars in the same train.

The hypothesis on how the force between a pair of cars in a train undergoing constant acceleration compares to the forces between other cars in the same train is detailed below.

As the cars in a train undergo constant acceleration, the force between a pair of cars is more significant than the forces between other cars in the same train. This is due to the fact that as the acceleration increases, the force between a pair of cars increases because the car at the back is pushed forward while the car in front is pulling backward, and as a result, there is an increase in the force acting between the two cars.

                                    However, the forces between other cars in the same train are not as significant as the force between a pair of cars because there is no direct contact between them, and hence the force is much less. The greater the acceleration, the greater the force acting between a pair of cars in the train, while the force acting between other cars remains negligible.

Therefore, the force between a pair of cars in a train undergoing constant acceleration is much more significant compared to the forces between other cars in the same train.

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What happens to the number of waves when you change the color from green to
violet?

A) increase
B) decrease
C) remain the same
D) there are not any waves present

Answers

When changing the color from green to violet, the number of waves will remain the same.

The color of light is determined by its wavelength, which is the distance between two consecutive peaks or troughs of the wave. Red light has the longest wavelength, while violet light has the shortest wavelength. However, regardless of the color of the light, all electromagnetic waves travel at the speed of light and have the same frequency.

Frequency refers to the number of waves that pass a given point in a second, and is measured in hertz (Hz). Therefore, when the color of light is changed from green to violet, the wavelength will become shorter, but the frequency (and thus the number of waves) will remain the same.

So, the answer is C) remain the same.

a 150 v battery is connected across two parallel metal plates of area

Answers

To accurately determine the distance between the plates, the area of the plates and the capacitance of the system need to be provided. The distance between the plates in a parallel plate capacitor can be calculated using the formula:

d = (k * ε₀ * A) / C

Where:

d is the distance between the platesk is the dielectric constant of the material between the plates (if any)ε₀ is the permittivity of free space (8.854 x 10^-12 F/m)A is the area of the platesC is the capacitance of the system

Please provide the values for the area of the plates and the capacitance, if available, so that I can help you calculate the distance between the plates.

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Some people say you can get HIV from insect bites. True or false? Why?

Answers

The answer is False because HIV spreads through contact between HIV-infected blood or blood-contaminated body fluids and broken skin, wounds, or mucous membranes. Deep, open-mouth kissing if both partners have sores or bleeding gums and blood from the HIV-positive partner enters the HIV-negative partner's bloodstream.

27. A force of 91 N is exerted straight up on a stone that has a mass of
0.75 kg. Calculate
a. the weight of the stone.
b. the net force acting on the stone.
c. the acceleration of the stone.

Answers

Answer:
A. 91Nx0.75kg= 68.25N

GUYS PLEASE HELP ME THIS IS FOR MY FINAL !!!

GUYS PLEASE HELP ME THIS IS FOR MY FINAL !!!

Answers

Answer:

just add co-ratios and then find the average.

Explanation:

Which of the following statements is true of the strong nuclear force?

A. It repels neutral charges
B. It holds protons and neutrons together
C. It acts over very great distances
D. It is much weaker than gravitational forces

Answers

Explanation:

it holds protons and neutrons together

Strong nuclear force holds protons and neutrons together.

What is protons?

Proton is a subatomic particle with a positive electric charge.

What is neutrons?

Neutrons is a subatomic particle of about the same mass as a proton but without an electric charge.

What is nuclear force?

The nuclear force is a force that acts between the protons and neutrons of atoms.

What is strong nuclear force?

The strong nuclear force is created between nucleons by the exchange of particles called mesons. It is stronger than the force of gravity as it binds the fundamental particles to form large particle.

Strong nuclear force is strongest force in nature. So, it is much stronger than gravitational forces. It binds the neutral charges i.e. neutron instead of repelling them. It is a short range force so it can not act over very large distances.

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A bicycle completed the first 300.0 m of a ride in 54.7 s. What was the bicycle's average speed in kilometers per hour?

Answers

The bicycle's average speed for the first 300.0 m of the ride is approximately 19.72 kilometers per hour.

To calculate the bicycle's average speed in kilometers per hour, we need to convert the distance and time to the appropriate units and then calculate the average speed.

Distance = 300.0 m

Time = 54.7 s

First, let's convert the distance from meters to kilometers by dividing by 1000:

Distance = 300.0 m / 1000 = 0.3 km

Next, let's convert the time from seconds to hours by dividing by 3600 (since there are 3600 seconds in an hour):

Time = 54.7 s / 3600 = 0.0151944 hours

Now, we can calculate the average speed by dividing the distance by the time:

Average speed = Distance / Time = 0.3 km / 0.0151944 hours

Calculating this expression:

Average speed ≈ 19.72 km/h

Therefore, the bicycle's average speed for the first 300.0 m of the ride is approximately 19.72 kilometers per hour.

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Which kind of cycle is the rock cycle-one with a set path or one with many possible paths? Construct an explanation that describes at least two possible changes to a rock.

Please? thank you

Answers

Answer:

Every rock is somewhere in the rock cycle. The story of the rock is the story of rock cycle: where the rock is now on the rock cycle, the path it took on the rock cycle to get to where it is now, and the path on the rock

Explanation:

This is the answer i put it and it worked if it didn't work for you that's because you lesson or teacher was doing it in a different way.

Answer:

The rock cycle, illustrated in Figure below, depicts how the three major rock types – igneous, sedimentary, and metamorphic - convert from one to another. Arrows connecting the rock types represent the processes that accomplish these changes.

Explanation:

Question 9 of 10
April sits at rest on a skateboard. She has a mass of 55 kg. Her friend throws
her a watermelon (m= 2 kg) at a speed of 5 m/s. If she catches it, how fast
will she, the skateboard, and the watermelon move?
OA. 5 m/s
B. 0.18 m/s
C. 11 m/s
OD. 0.09 m/s

Answers

The final velocity of April, the skateboard, and the watermelon after the collision is 0.18 m/s.

What is the final velocity of the system?

The final velocity of April, the skateboard, and the watermelon after the collision is calculated by applying the principle of conservation of linear momentum as shown below;

m1u1 + m2u2 = v (m1 + m2)

where;

m1 is mass of Aprilm2 is the mass of the ballu1 is the initial velocity of Aprilv is the final velocity of the system

(55 x 0) + (2 x 5) = v (55 + 2)

10 = 57v

v = 10/57

v = 0.18 m/s

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An full shopping cart with a mass of 100. kg is moving at 5.0 m/s and runs into a stationary shopping cart that is empty (30. kg). After the collision, the full shopping cart is moving at 2.7 m/s. What is the empty shopping cart moving at?

Answers

The empty shopping cart is moving at 7.67 m/s.

What is law of conservation of momentum?

According to the law of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.

Total initial momentum = total final momentum

100 kg ×5.0 m/s + 30 kg ×0 m/s = 100 kg ×2.7 m/s + 30 kg ×v

v = (5.0 - 2.7)(100/30) m/s

= 7.67 m/s.

Hence,  the empty shopping cart is moving at  speed of 7.67 m/s.

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Children should be able to speak clearly and understandably by:
One year old.
Two years old.
Three to four years old.
Four to five years old.
After five.

Answers

Answer:

3 to 4

Explanation:

By the time they reach 3 they have achieved speaking 200 or even more

PLSSSSS HELP!!!!!!! ASAP!!!!! MARK BRAINLIEST!!!!

PLSSSSS HELP!!!!!!! ASAP!!!!! MARK BRAINLIEST!!!!

Answers

Answer: I would say the answer is B.

Explanation: It looks and sounds the most correct.

A 1=2.40 μF
capacitor is first charged by being connected across a battery with voltage b=8.00 V.
It is then disconnected from the battery and connected across an uncharged capacitor with capacitance 2=5.60 μF.


Calculate the final charge 1,f
and 2,f
on 1
and 2,
respectively.

Answers

The final charge on the first capacitor is 7.20 μC and the final charge on the second capacitor is 12.00 μC.

What do you mean by charge ?

When placed in an electromagnetic field, the physical property of matter known as electric charge causes it to experience a force.

Positive and negative electric charges are the two types of charges that charge carriers, protons and electrons, commonly carry. The movement of charges produces energy.

The initial charge on the first capacitor, 1, can be calculated using the formula as follows:

Q = C × V

where,

Q is the charge,

C is the capacitance, and

V is the voltage.

By substituting the values, we get:

Q = 2.40 μF × 8.00 V

= 19.2 μC

Let's call the final charge on the first capacitor 1,f and the final charge on the second capacitor 2,f.

So, the two capacitors are now connected in parallel, their equivalent capacitance is C_eq :

C_eq = C1 + C2

C_eq = 2.40 μF + 5.60 μF

= 8.00 μF

The final charge on the equivalent capacitance is equal to the initial charge on the first capacitor,

Q_eq = Q1,f = 19.2 μC

From this, we can calculate the final charge on each capacitor:

Q1,f = (C1 / C_eq) × Q_eq

Q1,f = (2.40 μF / 8.00 μF) × 19.2 μC

= 7.20 μC

Q2,f = (C2 / C_eq) × Q_eq

Q2,f = (5.60 μF / 8.00 μF) × 19.2 μC

= 12.00 μC

Thus, The final charge on the first capacitor is 7.20 μC and the final charge on the second capacitor is 12.00 μC.

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Pls, help with this! I'm having trouble. will give points!!

Pls, help with this! I'm having trouble. will give points!!

Answers

Answer:

yes

no

no

no

no

yes

Explanation:

When should a line graph be used?

Answers

Line graphs are used to track changes over short and long periods of time. When smaller changes exist, line graphs are better to use than bar graphs. Line graphs can also be used to compare changes over the same period of time for more than one group.

A star with a radius 3 times the radius of the Sun is observed to have a maximum in its spectral signature at 293 nm. (a) Calculate the star's surface temperature (b) Determine the total flux generated by the star. (c) Determine the star's luminosity (d) How does this compare with the luminosity of the Sun?

Answers

The star's surface temperature is approximately 9897 Kelvin. The total flux generated by the star is approximately 3.95 × 10^14 Watts per square meter.

The star's luminosity is approximately about 29.5 times greater than the Sun's luminosity.

(a) To calculate the star's surface temperature, we can use Wien's displacement law, which states that the wavelength at which the maximum emission occurs is inversely proportional to the temperature of the object.

Wien's displacement law can be expressed as:

λ_max = (b / T)

where λ_max is the wavelength at maximum emission, b is Wien's constant (approximately 2.898 × 10^(-3) m·K), and T is the temperature in Kelvin.

Given that the maximum emission wavelength is 293 nm (or 2.93 × 10^(-7) m), we can rearrange the equation to solve for T:

T = b / λ_max

T = (2.898 × 10^(-3) m·K) / (2.93 × 10^(-7) m)

T ≈ 9897 K

Therefore, the star's surface temperature is approximately 9897 Kelvin.

(b) To determine the total flux generated by the star, we can use the Stefan-Boltzmann law, which states that the total energy radiated by a black body is proportional to the fourth power of its temperature.

The Stefan-Boltzmann law can be expressed as:

F = σ * T^4

where F is the flux (power per unit area), σ is the Stefan-Boltzmann constant (approximately 5.67 × 10^(-8) W·m^(-2)·K^(-4)), and T is the temperature in Kelvin.

Plugging in the temperature we calculated in part (a):

F = (5.67 × 10^(-8) W·m^(-2)·K^(-4)) * (9897 K)^4

F ≈ 3.95 × 10^14 W/m^2

Therefore, the total flux generated by the star is approximately 3.95 × 10^14 Watts per square meter.

(c) To determine the star's luminosity, we need to account for its surface area. The luminosity (L) is given by:

L = 4πR^2 * F

where R is the radius of the star and F is the flux.

Given that the star's radius is 3 times the radius of the Sun, and the flux we calculated in part (b):

L = 4π(3R_sun)^2 * (3.95 × 10^14 W/m^2)

L ≈ 1.13 × 10^28 Watts

Therefore, the star's luminosity is approximately 1.13 × 10^28 Watts.

(d) To compare the star's luminosity with that of the Sun, we can divide the star's luminosity by the Sun's luminosity, which is approximately 3.828 × 10^26 Watts:

L_star / L_sun ≈ (1.13 × 10^28 Watts) / (3.828 × 10^26 Watts)

L_star / L_sun ≈ 29.5

This means that the star's luminosity is about 29.5 times greater than the Sun's luminosity.

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A grocery shopper tosses a(n) 8.6 kg bag of rice into a stationary 18.1 kg grocery cart. The bag hits the cart with a horizontal speed of 5.2 m/s toward the front of the cart. What is the final speed of the cart and bag

Answers

Answer: 1.67 m/s

Explanation:

Given

Mass of bag is \(m=8.6\ kg\)

Mass of cart is \(M=18.1\ kg\)

bag hits the cart with horizontal speed of \(u=5.2\ m/s\)

Suppose the system move with speed v after collision

Conserving the momentum

\(\Rightarrow mu+M(0)=(M+m)v\\\\\Rightarrow v=\dfrac{mu}{M+m}\\\\\Rightarrow v=\dfrac{8.6\times 5.2}{18.1+8.6}\\\\\Rightarrow v=1.67\ m/s\)

When blue light shines into a prism what happens?

Answers

Answer:

Blue light has the shortest wavelength amongst all the colours that combine to make white light. This means the blue light diffracts (bends) the most out of all of them. There will be no dispersion of colours because ideally, the blue light must consist of only one frequency.

a solenoid 4.29 cm in diameter and 22.1 cm long has 250 turns and carries a current of 15.7 a. calculate the magnetic field through the circular cross-sectional area of the solenoid.

Answers

A solenoid 4.29 cm in diameter and 22.1 cm long has 250 turns and carries a current of 15.7 a. Therefore,the magnetic field through the circular cross-sectional area of the solenoid is 3.8 × 10 ⁻⁶Wb.

What is magnetic field ?

The term magnetic field is defined as the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field undergoes a force perpendicular to its own velocity and to the magnetic field.

∅ = μ₀nIA

Given:

diameter of the solenoid d = 4.29 cm

so, radius r =2.14cm

number of turns N = 250

current I = 15.7

length of the solenoid L = 22.1cm

∅ = 4 × 3.14 × 3.14 ×2.14/ 22.1

∅ = 3.8 × 10 ⁻⁶Wb

Thus, the magnetic field through the circular cross-sectional area of the solenoid is 3.8 × 10 ⁻⁶Wb.

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calculate the pressure exerted on the floor when an elephant who weighs 2400N stands on one foot which has an area of 0.4m squared​

calculate the pressure exerted on the floor when an elephant who weighs 2400N stands on one foot which

Answers

Answer:

6000pa

Explanation:

force= 2400N

area= 0.4m

pressure=?

now,

p= f/a

p= 2400/ 0.4

therefore,P=6000 pa.

a bomb is at rest and it explodes into three pieces: 15 kg, 25 kg, and 35 kg. what happens to the center of mass of the shell after the explosion?

Answers

The center of mass will be shifted slightly towards the heavier pieces, as they have more mass and therefore exert a stronger gravitational pull on the center of mass. The exact position of the center of mass will depend on the specific masses and positions of the pieces.

How to find Center of mass?

The explosion of the bomb results in the separation of the bomb into three pieces of mass 15 kg, 25 kg, and 35 kg, respectively. The center of mass of the system of these three pieces will still exist after the explosion, and its location will depend on the relative masses and positions of the three pieces.

Assuming that the explosion occurs in a way that the pieces are propelled away from the original location of the bomb with equal and opposite momentum, we can use the following equation to calculate the position of the center of mass:

Center of mass = (m1 x r1 + m2 x r2 + m3 x r3) / (m1 + m2 + m3)

Where m1, m2, and m3 are the masses of the three pieces, and r1, r2, and r3 are their positions relative to some chosen origin.

Since the pieces are propelled in equal and opposite directions, the net momentum of the system is zero. Therefore, the center of mass will remain in the same position as it was before the explosion.

However, the center of mass will be shifted slightly towards the heavier pieces, as they have more mass and therefore exert a stronger gravitational pull on the center of mass. The exact position of the center of mass will depend on the specific masses and positions of the pieces.

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A 523 N force is applied to an object, causing it to accelerate 12 m/s2. The mass of the object is ____.

Answers

Answer:

43.58kg

Explanation:

The equation F=ma will help here.

F=ma

523N=m(12m/s^2)

43.58kg=m

What indicates that an area in the Northern Hemisphere is experiencing summer?
O The Sun is at its lowest point in the sky,
O The Sun is directly over Earth's north end,
The Northern Hemisphere receives fewer direct rays from the Sun.
The northern end of Earth's axis is tilted away from the Sun.

Answers

Answer:

b

Explanation:

Answer:

its b, the sun is directly over earths north end

Explanation:

A comet moves in an elliptical orbit around the Sun. Which of the following is at a maximum when the comet is at its farthest distance from the Sun? Kinetic energy of the comet Speed of the comet Acceleration of the comet Gravitational potential energy of the Suncomet system Total energy of the Sun-comet system

Answers

When a comet is at its farthest distance from the Sun in its elliptical orbit, the following term is at a maximum:

Gravitational potential energy of the Sun-comet system.

Here's a step-by-step explanation:

1. As the comet moves away from the Sun, its gravitational potential energy increases because it is influenced by the Sun's gravitational pull.
2. At the farthest point in its orbit (called the aphelion), the gravitational potential energy reaches its maximum value.

So, the maximum term when the comet is at its farthest distance from the Sun is the gravitational potential energy of the Sun-comet system.

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the mariana trench is located in the pacific ocean at a depth of about 11 000 m below the surface of the water. the density of seawater is 1025 kg/m3. (a) if an underwater vehicle were to explore such a depth, what force would the water exert on the vehicle's observation window (radius

Answers

The water would exert a force of approximately 3.42 MN on the observation window of the underwater vehicle exploring the Mariana Trench at a depth of 11,000 m.

The force that the water would exert on the observation window of an underwater vehicle exploring the Mariana Trench at a depth of 11,000 m would depend on the area of the window and the pressure of the water at that depth. The pressure at that depth can be calculated by multiplying the density of seawater (1025 kg/m3) by the gravitational acceleration (9.81 m/s2) and the depth (11,000 m), which gives us a pressure of 108.7 MPa.
To calculate the force on the observation window, we can use the F = P x A, where F is the force, P is the pressure, and A is the area of the window. Assuming a circular observation window with a radius of 0.1 m, the area would be approximately 0.0314 m2. Plugging in the pressure and area values, we get:
F = 108.7 MPa x 0.0314 m2 = 3.42 MN

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The motion of an object at a constant speed along a circular path is known as:
A. Uniform horizontal motion
B. Uniform vertical motion
C. Uniform circular motion
D. Rectilinear motion ​

Answers

Answer:

the motion of an object at a constant speed along a circular path is known as Uniform circular motion

Quarterback backpedals 2.5 M northward and then runs 6.8 M Southward what is the magnitude and direction of the displacement

Answers

Answer:

4.3

Explanation:

because 6.8 subtracted by 2.5 is 4.3

Assuming the conditions regarding the motion represented in the graph remain the same, determine the acceleration of the object at t = 200 s.

Assuming the conditions regarding the motion represented in the graph remain the same, determine the

Answers

Answer:

(a) 0.6 m/s^2

Explanation:

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