Among a group of 100 people, 68 can speak English, 45 can speak French, 42 can speak German, 27 can speak both English and French, 25 can speak both English and German, 16 can speak both French and German, and 9 can speak all 3 languages. Pick a person at random from this group.


Required:

What is the probability that this person can speak at least 1 of these languages?

Answer:

blue

Explanation:

blue is the only color being reflected, meaning it's the only one that will be visible

The work done on the ball by the 10 N tension force is zero ( 0 Joules).

Given that:

The circumference(displacement d) of the ball = 3 m

the tension force of the ball = 10 N

the angle θ between the tension force and the displacement =90°

∴Using the work equation;

W = F × d cos θ

W = 10×3× cos (90)

W = 10 × 3 × 0

W = 0 Joules

The definition of work done includes both the forces applied to the body and the total displacement of the body. A constant force F is present before to this block. The goal of this force is to move the body d meters in a straight line in the force's direction.

Learn more about work done here:

brainly.com/question/13662169

#SPJ4

In terms of mass (m) and period (T), spring constant is given by this formula \(T = 2\pi \sqrt{\frac{m}{k} }\)

Since all springs obey Hooke’s law, spring constant is given by this formula:

\(kx = mg\\\\k = \frac{mg}{x}\)

Where:

In terms of mass (m) and period (T), spring constant is given by this formula:

\(T = 2\pi \sqrt{\frac{m}{k} }\)

Read more on spring constant here: https://brainly.com/question/25313999

Answer:

60.18 N

Explanation:

Given that:

The force applied on the sled = 100 N

Suppose, the angle between the sled rope and the ground = 53°

The horizontal force which acts  in the horizontal direction can be expressed as:

\(F_x = F \ cos \theta\)

\(F_x = 100 \ cos (53)\)

\(F_x = 60.18 \ N\)

But if the angle between the sled rope is parallel to the ground. Then, we use an angle on a straight line which is = 180°

\(F_x = F \ cos \theta\)

\(F_x = 100 \ cos (180)\)

= 100 × -1

= -100 N

Brian's acceleration was \(0.2 m/s^{2}\). This means that his velocity increased by 0.2 m/s every second during the 4 seconds.

To find Brian's acceleration, we can use the formula: acceleration = (change in velocity) / (time taken)

The change in velocity is the difference between his final velocity and initial velocity: change in velocity = final velocity - initial velocity

So, we have: change in velocity = 2 m/s - 1.2 m/s = 0.8 m/s

The time taken is: time taken = 7 s - 3 s = 4 s

Now we can plug in these values to find the acceleration: acceleration = (0.8 m/s) / (4 s) = \(0.2 m/s^{2}\)

Therefore, Brian's acceleration was \(0.2 m/s^{2}\). This means that his velocity increased by 0.2 m/s every second during the 4 seconds.

To know more about acceleration, refer here:

https://brainly.com/question/2303856#

#SPJ11

Given DataThe initial velocity of the cheetah, u1 = 0The initial velocity of the antelope, u2 = 0The final velocity of the cheetah, v1 = 106.9 km/hrThe final velocity of the antelope, v2 = 65.6 km/hrThe time taken by both animals to reach their top speed.

t = 4.9 sThe time for which cheetah chases antelope, T = 15 sDistance covered by cheetah in 15 s = Distance between cheetah and antelope at which the chase beginsDistance covered by antelope in 15 s = Speed and time givenAccording to first equation of motion, v = u + atFor cheetah, v1 = u1 + a1t ⇒ a1 = (v1 – u1)/t = (106.9 km/hr)/4.9 s = 21.8 m/s²For antelope, v2 = u2 + a2t ⇒ a2 = (v2 – u2)/t = (65.6 km/hr)/4.9 s = 13.3 m/s²Distance covered by cheetah and antelope in time t, S = ut + (1/2)at²Distance covered by cheetah in time t, S1 = (1/2)a1t² = (1/2) x 21.8 m/s² x (4.9 s)² = 267.6 mDistance covered by antelope in time t, S2 = (1/2)a2t² = (1/2) x 13.3 m/s² x (4.9 s)² = 103.1 mDistance covered by cheetah and antelope in time T, S = ut + (1/2)at²For cheetah, u1 = 0 and a1 is constant, therefore S1 = (1/2)a1T² = (1/2) x 21.8 m/s² x (15 s)² = 1961.5 m

To know more about initial visit:

https://brainly.com/question/31326019

#SPJ11

Generally, the coefficient of static friction should be at least 0.7 for a car traveling at this speed, but this value could be higher depending on the specific conditions.

The coefficient of static friction, or μs, is the ratio of the maximum static force that can be applied without causing slipping to the normal force between two surfaces. The coefficient is affected by the surfaces in contact and the material they are made of.

The tires of a car also have an effect on the coefficient of static friction. Tires with a greater tread depth can provide better grip on the road and therefore have a higher coefficient of static friction than tires with a shallow tread. Tire pressure also plays a role, as low pressure can reduce the coefficient of static friction.

The weight of the vehicle is also an important factor. Heavier vehicles tend to have a higher coefficient of static friction, as the greater mass increases the normal force between the car and the surface.

In conclusion, the coefficient of static friction for a car traveling at 115 km/h around a turn depends on several factors, including the road surface, the vehicle's tires, and the vehicle's weight.

Learn more about coefficient of static friction with example:

brainly.com/question/25050131

#SPJ4

For someone with a negative Weber slope for weight detection, it would be easier to tell the difference between 20 pounds and 21 pounds.

The Weber's Law states that the just noticeable difference (JND) between two stimuli is proportional to the magnitude of the stimuli. A negative Weber slope indicates that the JND decreases as the magnitude of the stimuli increases. In this case, as the weight increases, the person's ability to discriminate between the weights becomes easier.

Therefore, option C, telling the difference between 20 pounds and 21 pounds, would be easier for someone with a negative Weber slope for weight detection.

To learn more about weight, Click here: brainly.com/question/33492657

#SPJ11

The average velocity of the pirates is 1.44 miles/hr.

A vector quantity is an average velocity. The change in position or displacement (x) divided by the time intervals (t) in which the displacement happens yields the average velocity. Depending on the sign of the displacement, the average velocity can be positive or negative. Meters per second (m/s or ms-1) is the SI measure of average velocity.

total time = t₁ + 1 + t₂

T = 1 + 1 + 3

T = 5hr

Displacement = AC = √(4² + 6²)

S = √16+36

S = √52

Average velocity = Displacement/ Time

v = S/t

substituting the value in the above equation, we get

v = 7.2/5

v = 1.44 mile/hr

Thus, the average velocity of the pirates is 1.44 miles/hr.

Learn more about average velocity here:

https://brainly.com/question/862972

#SPJ4

Answer:

must double the force, with the same masses you get twice the acceleration.

Explanation:

Newton's second law establishes a relationship between force and acceleration where the constant of proportionality is mass

        F = m a

To prove these relationships you must double the force, with the same masses you get twice the acceleration.

     2F = m 2a

The downside is that if you double the mass, the acceleration stays the same.

    2F = 2m   a

Answer:

I think B but im not sure

Explanation:

Answer: i think both mirrors are used to reflect the beam of light.

Explanation:

gr 10 science right? im almost done the semester and i learnt this already so i think the best answer is the last one

Answer:

Anything that has motion cannot be stopped

Explanation:

Answer:

equal and opposite reaction

Explanation:

The crystal-field splitting energy Δ for the d1 octahedral complex is approximately 6.34 kJ/mol.

To calculate the crystal-field splitting energy (Δ) in kJ/mol for a d1 octahedral complex, we can use the relationship between the absorption wavelength and Δ given by the formula:

Δ = hc / λ

where:

Δ is the crystal-field splitting energy,

h is the Planck's constant (6.626 × \(10^{-34\) J·s),

c is the speed of light (2.998 × \(10^{8\) m/s), and

λ is the absorption wavelength in meters.

First, we need to convert the absorption wavelength from nanometers (nm) to meters (m):

λ = 523 nm = 523 × \(10^{-9\) m

Now, we can calculate Δ:

Δ = (6.626 × \(10^{-34\) J·s × 2.998 × \(10^8\) m/s) / (523 × \(10^{-9\) m)

Δ = 3.819 × \(10^{-19\) J

To convert Δ from joules to kJ/mol, we need to divide by Avogadro's number (6.022 × \(10^{23\) \(mol^{-1\)) and multiply by \(10^{-3\):

Δ = (3.819 × \(10^{-19\) J / 6.022 × \(10^{23\) \(mol^{-1\)) × \(10^{-3\) kJ/mol

Δ ≈ 6.34 kJ/mol

Learn more about the octahedral complex at

https://brainly.com/question/17204989

#SPJ4

The question is -

A d1 octahedral complex is found to absorb visible light, with the absorption maximum occurring at 523 nm. Calculate the crystal-field splitting energy, Δ, in kJ/mol.

The most scientific guess (hypothesis) based on what is known about the behavior of galaxies is that Galaxies are continuously moving away from each other. This hypothesis can be tested using Hubble's Law.

Hubble's law indicates that almost all galaxies are moving apart from one another because the universe as a whole is expanding. Choose any two galaxies at arbitrarily, and they're most likely traveling apart from each other.

Hubble discovered that galaxies move away from us at a rate proportionate to their distance: more distant galaxies move away faster than closer ones. The accompanying graphic shows Hubble's classic graph of measured velocity vs. distance for neighboring galaxies.

The graph shows a linear relationship between galaxy velocity (v) and distance (d).

The equation for the above linear relationship is:

                                          v = H₀ x d

Where:

H₀ is the expansion rate

v = velocity of the galaxy; and

d = distance.

Using the above formula, the astronomer can measure or test to know whether indeed the new galaxy is moving relative to the Milky Way galaxy and at what rate.

Learn more about Galaxies:
https://brainly.com/question/13956361
#SPJ1

In this case, we need to know the buoyant force acting on the submerged log. The buoyant force, also known as Archimedes' principle states that the buoyant force acting on a body submerged in a fluid is equal to the weight of the displaced fluid. Mathematically,

Fb = ρ × V × g

where, Fb is the buoyant force

ρ is the density of the fluid

V is the volume of fluid displaced

g is the acceleration due to gravity (9.81 m/s²)

Let's find the volume of fluid displaced, V using the mass of the log.

Mass of the log = 390 kg

Since the log is completely submerged, it displaces its own volume of fluid. The volume of the log is given by;

Vlog = mlog/ρlog

where, ρlog is the density of the log

Since the log is made of ebony wood, the density of the log is

ρlog = 710 kg/m³

Therefore,

Vlog = mlog/ρlog = 390/710 = 0.549 m³

We can now find the buoyant force acting on the submerged log.

Fb = ρ × V × g

where, ρ is the density of water which is about 1000 kg/m³ (since the fluid is water)

g is the acceleration due to gravity (9.81 m/s²)

V is the volume of fluid displaced

Fb = 1000 × 0.549 × 9.81 = 5385.39 N

Therefore, the buoyant force acting on the submerged log is 5385.39 N.

To learn more about "buoyant force" visit: https://brainly.com/question/11884584

#SPJ11

Stars form from molecular clouds through a process known as stellar formation.

These clouds, characterized by low temperatures and high densities, provide the ideal conditions for atoms to combine and form molecules. With a mass range spanning from a few solar masses to millions of solar masses, molecular clouds serve as the birthplaces of new stars. The Pleiades cluster serves as a notable example of stars that have recently formed within such a stellar nursery.

The formation of stars from molecular clouds involves several key steps. Firstly, gravitational forces acting on regions of higher density within the cloud cause them to collapse under their own gravity. As the cloud collapses, it begins to fragment into smaller, denser clumps called protostellar cores. These cores continue to collapse, and their central regions become increasingly dense and hot. At this stage, they are known as protostars.

To know more about molecular clouds here https://brainly.com/question/30631889

#SPJ4

The mechanical advantage of the system is 4.5. Hence, option (A) is correct.

The mechanical advantage (MA) is given by the ratio of the output force to the input force in a system. In this case, since we are dealing with a gear train system, the mechanical advantage can also be calculated as the ratio of the number of teeth on the driven gear to the number of teeth on the driving gear.

However, in the given question, the efficiency of the system is mentioned as 75%. Efficiency is defined as the ratio of output power to input power, and it is related to mechanical advantage through the equation:Efficiency = (Mechanical Advantage / Input Gear Train Advantage) * 100

Given the efficiency as 75%, we can rearrange the equation to solve for the Mechanical Advantage:

Mechanical Advantage = (Efficiency / 100) * Input Gear Train Advantage

Since the efficiency is 75% (0.75) and the Input Gear Train Advantage is 6 (calculated as the ratio of the number of teeth on the driven gear to the number of teeth on the driving gear), we can substitute these values into the equation:

Mechanical Advantage = (0.75 / 100) * 6 = 0.045 * 6 = 4.5

Therefore, the mechanical advantage of the system is 4.5, which corresponds to option A.

To know more about mechanical advantage click here,

https://brainly.com/question/24056098

#SPJ11

7.11 meters

Explanation

to solve this we need to use this formula:

Step 1

Let

now,replace and calculate

therefore, the answer is

7.11 meters

I hope this helps you

When 680 J of heat is added to 56g of water initially at 20°C, the energy is approximately 162.76 calories, and the final temperature of the water is approximately 23.25°C.

The energy in calories, we can use the conversion factor: 1 calorie (cal) = 4.184 J (joules). Therefore, the energy added to the water is:

680 J * (1 cal / 4.184 J) ≈ 162.76 cal.

To determine the final temperature of the water, we need to consider the specific heat capacity of water. The specific heat capacity of water is approximately 4.18 J/g°C. We can use the equation:

q = m * c * ΔT,

where q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

Rearranging the equation to solve for ΔT:

ΔT = q / (m * c),

ΔT = 680 J / (56g * 4.18 J/g°C),

ΔT ≈ 3.25°C.

Since the water started at 20°C, the final temperature can be found by adding the change in temperature to the initial temperature:

Final temperature = 20°C + 3.25°C ≈ 23.25°C.

Therefore, the final temperature of the water after adding 680 J of heat will be approximately 23.25°C.

To know more about final temperature refer here:

https://brainly.com/question/11593639#

#SPJ11

The term used to describe the turning force exerted when pushing an object is effort.

The is the input force or force applied at one point of a lever in order to overcome a load.

The relationship between effort, load and mechanical advantage of a lever is given as;

M.A = L/E

where;

Thus, the term used to describe the turning force exerted when pushing an object is effort.

Learn more about effort here: https://brainly.com/question/24237657

Main answer: The magnetic field between the hot and neutral wires supplying DC power to the light rail commuter train is 0.0053 T.

The magnetic field between two parallel conductors can be calculated using the equation B = (μ0*I)/(2π*r), where B is the magnetic field, μ0 is the permeability of free space, I is the current, and r is the distance between the wires. Plugging in the given values, we get:

B = (4π x 10^-7 T*m/A)*(800 A)/(2π*0.75 m)

B = 0.0053 T

Therefore, the magnetic field between the hot and neutral wires supplying DC power to the light rail commuter train is 0.0053 T.

Learn more about the magnetic fields produced by current-carrying conductors and their applications in physics and engineering.

https://brainly.com/question/31261616

#SPJ11

Answer:

Answer: D. Only R

Explanation:

The Principle Of Conservation Of Mechanical Energy

In the absence of friction, the total mechanical energy is conserved. That means that

Em=U+K is constant, being U the potential energy and K the kinetic energy.

At the top of the path (point Q), Joshua is at rest but his height is at a maximum. Thus his kinetic energy is zero.

At point P, Joshua is at the minimum level (potential energy zero) and his speed is at a maximum.

At point R, Joshua has some height and some speed which means he has both types of energy.

Answer: D. Only R

Answer:

12

Explanation:

The gold foil experiment showed that the atom consists of the small, massive, positively charged nucleus.

Who conducted the experiment that showed that atoms were mostly made up of empty space?

Rutherford perform an experiment which shows that the atom is mostly composed of empty space with a very small, dense, positively-charged nucleus. Based on these results, Rutherford proposed the nuclear model of the atom and this experiment is known is Rutherford's gold foil experiment. The atom is mostly composed of empty spaces. The size of the atom is round about 1/100,000.

So we can conclude that: The gold foil experiment showed that the atom consists of the small, massive, positively charged nucleus.

Learn more about Atoms: https://brainly.com/question/6258301

#SPJ1

You have a circuit of four 4.5 v d-cell batteries in series, some wires, and a light bulb, the bulb is lit and the current flowing through the bulb is depends on its resistance.

When four 4.5 V D-cell batteries are connected in series, the total voltage is 18 V. This voltage pushes the current through the light bulb, causing it to light up. The exact amount of current that flows through the bulb depends on its resistance. However, the current flowing through the bulb can be calculated using Ohm's Law.

Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points. The constant of proportionality is the resistance of the conductor, this means that I = V / R, where I is the current, V is the voltage, and R is the resistance. In this case, since the bulb is lit, we know that there is current flowing through it. However, without knowing the resistance of the bulb, we cannot calculate the exact value of the current. So therefore the bulb is lit and the current flowing through the bulb is depends on its resistance.

To know more about Ohm's Law visit:

https://brainly.com/question/12372387

#SPJ11

For the given problem, we have been given the distance travelled by velocity the raft (d) as 80 feet and the time taken by the raft (t) to travel the given distance is 10 seconds.

We can calculate the velocity of the river by dividing the distance covered by time taken, so the flow velocity is calculated as:v = d/t = 80/10 = 8 ft/sec Now, moving onto the second question, for the given problem, we have been given the diameter of the pipe (d) as 4 feet, and the flow velocity (v) of the water as 5 ft/sec. We can calculate the flow rate using the following formula for the area of a circle: A = πr²where the radius of the pipe is equal to half of the diameter, so r = d/2 = 4/2 = 2 feet Using the formula for the area of a circle, we get: A = πr² = π(2)² = 4π ft²Now we can use the formula for flow rate Q:Q = A × vQ = (4π ft²) × (5 ft/sec)Q = 20π/3 ≈ 20.94 ft³/sec So, the flow rate of the water in the pipe is approximately 20.94 ft³/sec.

The given problem consists of two sub-problems. In the first sub-problem, we have been given the distance travelled by the raft (d) as 80 feet and the time taken by the raft (t) to travel the given distance is 10 seconds. We can calculate the velocity of the river by dividing the distance covered by time taken, so the flow velocity is calculated as:v = d/t = 80/10 = 8 ft/sec For the second sub-problem, we have been given the diameter of the pipe (d) as 4 feet, and the flow velocity (v) of the water as 5 ft/sec.

To know more about velocity visit:

https://brainly.com/question/30559316

#SPJ11

The time it takes Jane to catch up with Don if Jane is traveling at 10 k.p.h and don at 6 k.p.h is: 2.5 h

The formula and procedure we will use to solve this problem is:

Tr = x/(v2-v1)

Where:

Information about the problem:

Applying the reach time formula we get:

Tr = x/(v2-v1)

Tr = 10 km/(10 km/h- 6 km/h)

Tr = 10 km/(4 km/h)

Tr = 2.5 h

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

Learn more about velocity at: brainly.com/question/80295?source=archive

#SPJ4

Answer:

The ice sheet as a record of past climates

Scientists have, using those ice cores, obtained information on (proxies for) temperature, ocean volume, precipitation, chemistry and gas composition of the lower atmosphere, volcanic eruptions, solar variability, sea-surface productivity, desert extent and forest fires.

Answer:

The Greenland ice sheet is the last remaining ice sheet from the most recent ice age. Therefore, it can tell scientists about the climate conditions of that period.

Explanation:

The number of revolutions per minute which a 25 m diameter ferris wheel would need to make for the passengers to feel weightless is 7.84 rotations per minute.  

The rotational speed of a ferris wheel needs to reach 8.5 revolutions per minute (RPM) for passengers to experience weightlessness. To calculate the RPM of a 25m diameter ferris wheel, use the formula:

RPM = (distance/circumference) × 60.

The circumference of a 25 m ferris wheel is 157.07m. Therefore, the RPM of a 25m ferris wheel would be:

RPM = (25m/157.07m) × 60 = 7.84 RPM

Therefore, a 25m ferris wheel would need to rotate at a rate of 7.84 RPM for passengers to experience weightlessness.

Learn more about Rotational speed here:

https://brainly.com/question/17165860

#SPJ11