a locomotive is accelerating at 3.12m/s^2. It passes through a 24.8m wide crossing in a time of 2.21s. After the locomotive leaves the crossing, how much time is required until its speed reaches 33.2 m/s?

Answers

Answer 1

The time required until the locomotive's speed reaches 33.2 m/s is 7.04 second.

What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Acceleration of the locomotive: a = 3.12 m/s².

Initial speed of the locomotive: u = 24.8 m/2.21 s = 11.22 m/s.

Final speed of the locomotive: v = 33.2 m/s.

Let, time interval = t

So, v = u - at

t = (v -u)/a

= (33.2 - 11.22)/3.12 second

= 7.4 second.

Hence, the  time required until the its speed reaches 33.2 m/s is 7.04 second.

Learn more about acceleration here:

brainly.com/question/12550364

#SPJ1


Related Questions

which of the following resources would most likely be mined from the plant remains buried in eastern montana during the cretaceous?

Answers

The most likely resource to be mined from the plant remains buried in eastern Montana during the Cretaceous would be fossil fuels.

What is Montana?

Montana is a state in the western region of the United States. It is bordered by North Dakota to the east, South Dakota and Wyoming to the south, Idaho to the west, and the Canadian provinces of British Columbia, Alberta, and Saskatchewan to the north.

Fossil fuels are formed from the remains of plants and animals which have been buried and subjected to high temperatures and pressures over millions of years. The remains of plants buried in eastern Montana during the Cretaceous period would have been subjected to these conditions and thus may contain deposits of fossil fuels such as oil and natural gas.

To learn more about Montana
https://brainly.com/question/13746698
#SPJ4

On a highway curve with radius 36 m, the maximum force of static friction (centripetal force) that can act on a 1,223-kg car going around the curve is 7,927 N. What speed limit should be posted for the curve so that cars can negotiate it safely?
m/s

Answers

If on a highway curve with radius 36 m, the maximum force of static friction. The  speed limit that should be posted for the curve so that cars can negotiate it safely is 15.28 m/s.

How to find the speed limit?

Radius =36 m

Maximum force of static friction = 7,927 N

Magnitude of the force is F = m v2/r

So,

Limit speed is:

v = (Fr/m)^1/2

v= (7,927N × 36 m/ 1223 kg)^1/2

v= 15.275 m/s

v= 15.28 m/s (Approximately)

Therefore we can conclude that the speed limit is  15.28 m/s.

Learn more about speed limit here:https://brainly.com/question/28488266

#SPJ1

An object floats in water with 5/8 of its volume submerged. The ratio of the density of the obkect to that of water is:
(a) 8/5
(b) 1/2
(c) 3/8
(d) 5/8
(e) 2/1

Answers

An object floats in water with 5/8 of its volume submerged. The ratio of the density of the obkect to that of water is 5/8.

What is meant by density ?

The measure of how densely a material is packed together is called density. As the mass per unit volume, it has that definition.Symbol for density: D or Formula for Density: Where is the density, m is the object's mass, and V is its volume, the equation is: = m/V.How much matter is confined within a volume is determined by density. For an identical size object, a dense object weighs more than a less dense one.A substance that is less dense than water will float on it; a substance that is denser will sink.Density equals mass per unit volume, or D = M / V, is the density equation.

To learn more about density refer to

brainly.com/question/26364788

#SPJ4

choose the statement that accurately describes nuclear energy. exposure to benzene compounds can cause cancer among those who work with this energy source. waste from this energy source must be stored safely for hundreds of years. emissions from this energy source can create acid rain, which disrupts forest ecosystems. animal habitats are damaged and fragmented when pipes are laid to distribute this energy source

Answers

The statement that accurately describes nuclear energy is: "Waste from this energy source must be stored safely for hundreds of years."

What is nuclear energy?

Nuclear energy is energy released from the nucleus of an atom. It is produced through the process of nuclear fission, which splits the nucleus of an atom into two lighter nuclei. The energy released during this process is used to generate electricity, power ships, and to provide heat and power for industrial processes.

Nuclear energy is a clean, efficient, and reliable source of power, but it also produces radioactive waste that must be safely stored away from the environment and living creatures. This radioactive waste is highly toxic and must be stored in a secure facility for hundreds of years until it is no longer dangerous.

To learn more about nuclear energy
https://brainly.com/question/29134126
#SPJ4

Alison is playing in front of her house. She skips forward 700 steps, skips back 900 steps and forward again 50
steps. If she has been skipping for 10 minutes, Find the speed at which Alison moves and her velocity. Draw
Alison's motion

Answers

The speed at which Alison moves  is 2.75 steps per second.

The velocity of Alison is determined as 0.25 steps backward.

What is the speed of Alison?

The speed of Alison is the ratio of total distance travelled by Alison to total time of motion.

v = ( 700 + 900 + 50 ) / ( 10 min x 60 s )

v = 2.75 steps per second

The velocity of Alison is the ratio of the total displacement of Alison to total time of motion and it is calculated as follows;

v = ( 700 - 900 + 50 ) / ( 10 x 60 s )

v = ( - 150 steps ) / ( 600 s )

v = 0.25 steps / second backward

Learn more about velocity here: https://brainly.com/question/25905661

#SPJ1

Figure 9-53 shows an approximate plot of force magnitude F versus time t during the collision of a 58g Superball with a wall. The initial velocity of the ball is 34m/s perpendicular to the wall; the ball rebounds directly back with approximately the same speed, also perpendicular to the wall. What is F max,the maximum magnitude of the force on the ball from the wall during the collision?

Answers

The force applied by the ball on the wall is 3.994 Newton, if the mass of the ball is 58 gm, and initial velocity is 34 m/s.

Mass of the ball, m = 58 gm = 0.058 kg

Initial velocity of the ball, u = +34 m/s

Time of the applied force, t = 1 sec

Final velocity of the ball, after collision, v = -34 m/s  [negative: as the direction is opposite]

Let the force applied by the ball on the wall is F. We know the rate of change of momentum of an object is equal to the force applied by the object. So,

F = (m₁v₁ - m₂v₂)/t

F = (0.058 × 34 - 0.058(-34))

F = 3.944 N

To know more about force, here

https://brainly.com/question/13191643

#SPJ4

fill in the blank. when conducting an ero operation with a c-5 aircraft, vehicles and personnel exiting via the forward or aft ramp will proceed on a direct line with the fuselage at least___feet before turning, or at least____feet before stopping.

Answers

Vehicles and people leaving a C-5 aircraft via the forward or aft ramp must go at least 50 feet in front of the fuselage before turning or 100 feet before coming to a complete stop while executing an ERO operation.

ERO (emergency ramp offload) operations are carried out when the aircraft has to rapidly and safely dump goods and crew. Depending on the kind of aircraft, the location, and other variables, the particular standards and procedures for ERO operations may change. However, in general, it is important to make sure that any vehicles and people leaving the plane keep a safe distance from it and don't obstruct other activities. ERO activities target those who pose a threat to public safety, including gang members and noncitizens with criminal records, as well as those who have otherwise broken the country's immigration rules.

learn more about ERO here:

https://brainly.com/question/28021592

#SPJ4

use the time dependent schrodinger equation and the turnover rule to prove that where h is the hamiltonian operator

Answers

the Hamiltonian operator A quantum system's total energy is described by the operator h, and its temporal development is periodic.

The wave function of a quantum system, represented by the wave function psi, is said to change over time in accordance with the Hamiltonian operator, represented by H, according to the time-dependent Schrödinger equation (TDSE). The equation i/t = H provides the TDSE.

According to the turnover rule, a quantum system's time-evolution has a periodic nature, with a period equal to the reciprocal of the difference in energy eigenvalues between its beginning and final states. The following equation provides the turnover rule:

T = 2π/|Ef - Ei|

By replacing the TDSE into the turnover rule and simplifying, we can demonstrate using the TDSE and the turnover rule that where h is the Hamiltonian operator.

T= 2π/|Hf - Hi|

I / t = H I / t (f / t - I / t) = H f f - Hi I / t (e f - ei) = H f f - Hi

T= 2π/|Hf - Hi|

learn more about Hamiltonian  here:

https://brainly.com/question/28043791

#SPJ4

which of the following are true of the transfer of thermal energy in the oceans? select the three correct answers.

Answers

Near the equator, energy is more readily emitted than absorbed. Near the poles, energy is mostly absorbed rather than radiated. In depth ocean currents, energy is transported from the equator to the poles.

What does a scientific energy exactly mean?

Energy is described as the capacity to apply a force sufficient to move an object, or the capacity to "accomplish work." Despite the vagueness of the definition, the concept is actually quite straightforward: electricity simply denotes the force that drives objects. Potential energy falls into two distinct kinds.

basic description of energy

The ability to work is the most fundamental definition of energy. Energy is what moves and transforms things. It is many in shape and is found everywhere. Food preparation demands energy.

To know more about Energy visit:

https://brainly.com/question/1932868

#SPJ4

Experimental data indicate that in a region downstream of a given louvered supply vent the velocity of the emitted air is defined by v=0.18v0/x, where v and x are expressed in m/s and meters, respectively, and v0 is the initial discharge velocity of the air. For v0=3.6m/s, determine:
a) the acceleration of the air at x=2m,
b) the time required for the air to flow from x=1 to x=3m.

Answers

a) a =  - 0.0524 m/s²

b) t = 6.17 s

Determine:

a) the acceleration of the air at x=2m,

b) the time required for the air to flow from x=1 to x=3m.

Given

τ = 0.18*τ₀ / x

τ₀ = 3.6 m/s

Determine:

a) The acceleration of the air at x= 2m.

Knowing

a = dτ / dt

Multiplying both the numerator and denominator by dx

a = (dτ / dx) (dx / dt)

Substituting τ for dx / dt

a = τ*(dτ / dx)

⇒ a = τ*(-0.18*τ₀ / x²) = (0.18*τ₀ / x)(-0.18*τ₀ / x²)

⇒ a = - 0.18²*τ₀² / x³ = - 0.18²*(3.6)² / x³

⇒ a = - 0.4199 / x³

If x = 2m

⇒ a = - 0.4199 / (2)³

a =  - 0.0524 m/s²

b) The time required for the air to flow from x=1 to x= 3m.

If

τ = dx / dt = 0.18*τ₀ / x

⇒   dt = (x / 0.18*τ₀) dx

⇒   t = (1 / 0.18*τ₀) ∫x dx

⇒   t = (1 / 0.18*τ₀)*(1 / 2)*x²

then

t = (1 / (0.18*3.6))*(1 / 2)*((3)² - (1)²)

 t = 6.17 s

To learn more about acceleration refers to:

https://brainly.com/question/605631

#SPJ4

Joan decided to go for a walk, st arting from her house. The diagram below shows the m easurement between places on t he route where he walks. what wil I be his Position when he is at c ar?*

(GIVING BRAINLIST TO THE CORRECT ANSWER)

Answers

Based on the information provided, his position when he is at a car will be -13 west.

What is the distance between Joan's house and the car?

The distance can be found by adding smaller distances as shown below:

Distance from the house to the wheelbarrow: 11 meters

Distance from the wheelbarrow to the car: 2 meters

11 meters + 2 meters =  13 meters

This means the magnitude is 13 meters.

What is the direction?

Based on the map, the direction is west, and considering this goes to the left this would be negative, making his position -13 west.

Learn more about coordinates in https://brainly.com/question/16634867

#SPJ1

A UFO going 17 m/s north suddenly experienced a constant acceleration for 77 s during which it’s displacement was 19,096 m north. Determine the final speed of the UFO and the magnitude of the UFOs acceleration

Answers

a) The final speed of the UFO is 0 m/s.

b) The acceleration of the UFO is 0.0076 m/s^2.

What is the speed?

We know that the speed would have to do with the rate of change of the displacement of the object with time. We known that within the time in which the UFO has a constant acceleration then the final velocity  of the UFO is 0 m/s.

We have that;

v^2 = u^2 - 2as

v = final velocity

a = acceleration

s = displacement

u = initial speed

The final speed of the UFO is 0 m/s

We then have;

u^2 = 2as

a = u^2/2s

a = (17)^2/2 * 19096

a = 0.0076 m/s^2

Learn more about acceleration:https://brainly.com/question/12550364

#SPJ1

A hummingbird averages a speed of about 45 km/hour (Cool facts: They visit up to 1000 flowers per day, and reach maximum speed, while diving, up to 160 km/hour!). Ruby-throated hummingbirds take a non-stop trip across Gulf of Mexico in which they fly for 18 hours straight! How far is the trip across the Gulf of Mexico at their average speed?
answer choices
810 km
2.5 km
3.6 km
360 km

Answers

It would take 18 hours to travel 18 x 45 = 810 km across the Gulf of Mexico.

What is average speed?

Average speed is the measure of an object's overall rate of motion in a given direction. It is calculated by dividing the total distance traveled by the total time taken. Average speed can be calculated over a certain period of time, or it can be calculated over the entire duration of a journey.


At an average speed of 45 km/hour, a hummingbird would travel 45 km in one hour.
Therefore, it would take 18 hours to travel 18 x 45 = 810 km across the Gulf of Mexico.

To learn more about average speed
https://brainly.com/question/24739297
#SPJ4

If someone tells a friend that it is 75 degrees outside, that number represents the

Answers

it represents the temperature.

Answer:

Temperature

Explanation:

Commonly when speaking about the temperature outside we will refer to it as --degrees Fahrenheit or Celsius. So if I were to tell my friend that it is currently 68 degrees outside, that would mean that the current temperature is 68 degrees Fahrenheit or Celsius outside.

-Hope this helped

The diagram below shows a 4.0-kilogram object accelerating
at 10. meters per second2 on a rough horizontal surface.
Acceleration = 10. m/s²
Frictional
force=F₁
m = 4.0 kg
O. 5.0N
Ob
10. N
Of 20.N
04 40.N
Applied
force = 50. N
(Not drawn to scale)
What is the magnitude of the frictional force Fr acting on
the object?

Answers

The magnitude of the frictional force Fr acting on the object is 10 N.

option B.

What is the magnitude of the frictional force?

The magnitude of the frictional force Fr acting on the object is calculated by applying the following formula.

F - Fr = ma

where;

Fr is the frictional forceF is the applied forcem is the mass of the objecta is the acceleration of the object

50 N - Fr = 4 kg  x  10 m/s²

50 N - Fr = 40 N

Fr = 50 N - 40 N

Fr = 10 N

Learn more about force of friction here: https://brainly.com/question/20241845

#SPJ1

list the two methods most commonly used to limit the effects of indirectly transmitted x-ray photons.

Answers

The two methods most commonly used to limit the effects of indirectly transmitted x-ray photons are shielding and filtration.

Shielding is the process of placing materials between the x-ray source and the patient that absorb the x-ray photons, thus reducing the amount of radiation that reaches the patient. Common shielding materials include lead, tungsten, and concrete.

Filtration, on the other hand, involves the use of filters to reduce the energy of the x-ray beam by absorbing some of the lower-energy x-ray photons. These filters can be made of materials such as aluminum, copper, or polyethylene.

Both methods are effective at reducing the amount of radiation that reaches the patient and are used in combination to provide the greatest protection.

Learn more about filtration:

https://brainly.com/question/26104477

#SPJ4

Water flows through a pipe as shown in the figure. The pressure at points 1 and 2 respectively is 1.85 x 10ª Pa and 1.20 x105 Pa. The
radius of the pipe at points 1 and 2 respectively is 3.30 cm and 1.40 cm. If the vertical distance between points 1 and 2 is 2.75 m, determine
the following.

Answers

(1) The total pressure of the pipe at point 1 is 1.85 x 10⁵ Pa.

(2) The total pressure of the pipe at point 2 is  146,950 Pa.

What is the total pressure at position 1 and 2?

The total pressure at position 1 and 2 is calculated by applying Bernoulli's equation as shown below.

P (t) = P₀ + ρgh

where;

P₀ is the gauge pressureρ is the density of waterg is acceleration due to gravityh is the height of the pipe

The total pressure of the pipe at point 1 is calculated as follows;

P (t) = ( 1.85 x 10⁵ )  +   ( 1000 x 9.8 x 0 )

P (t) = 1.85 x 10⁵ Pa

The total pressure of the pipe at point 2 is calculated as follows;

P (t) = ( 1.2 x 10⁵ ) + ( 1000 x 9.8 x 2.75 )

P (t) = 146,950 Pa

Learn  more about total pressure here: https://brainly.com/question/26101731

#SPJ1

The complete question is below:

Water flows through a pipe as shown in the figure. The pressure at points 1 and 2 respectively is 1.85 x 10ª Pa and 1.20 x105 Pa. The

radius of the pipe at points 1 and 2 respectively is 3.30 cm and 1.40 cm. If the vertical distance between points 1 and 2 is 2.75 m, determine

the following.

(1) the total pressure at point 1

(2) the total pressure at point 2

at which of the following air temperatures will the speed of a sound wave be closest to 1,0001,0001, comma, 000 feet per second?

Answers

The speed of a sound wave will be closest to 1,000 feet per second at an air temperature of 0°C (32°F).

What is sound wave?

Sound waves are waves of energy that travel through air, water, or other materials as vibrations. Sound waves form when an object vibrates in a medium like air.

The speed of sound in air is approximately 1,116 feet per second at sea level and decreases with increasing altitude. At an air temperature of 0°C (32°F), the speed of sound is about 1,010 feet per second.
Therefore, the speed of a sound wave will be closest to 1,000 feet per second at an air temperature of 0°C (32°F).

To learn more about sound wave
https://brainly.com/question/16093793
#SPJ4

(UPDATED) Please answer the following questions requested bellow ↓ (SIXTH PAGE)


≈≡ EACH QUESTION IS 5 POINTS WHICH IS 30 POINTS IN TOTAL ≡≈

**( + An extra 10 points)**


**Check previous question for other five pages Thank You**

Answers

During Stanford University's "Search for Isolated Fractionally Charged Particles," more than 100 million more oil droplets were measured, hence option A is correct.

What is the search for fractionally charged particles?

Theoretically, every charge must be a multiple of the charge of an elementary particle or an electron.

Similar automated equipment to that of Millikan and Fletcher was employed. No droplet with a fractional charge was discovered.

Therefore, even if the quantity used today for the elementary charge differs slightly from what Millikan and Fletcher measured, it is generally agreed that all charge is made up of multiples of the elementary charge.

Learn more about Millikan and Fletcher, here:

https://brainly.com/question/14619441

#SPJ1

A 3.0 g spider is dangling at the end of a silk thread. You can make the spider bounce up and down on the thread by tapping lightly on his feet with a pencil. You soon discover that you can give the spider the largest amplitude on his little bungee cord if you tap exactly once every second. What is the spring constant of the silk thread?

Answers

The spring constant can be obtained as 0.12.

What is the spring constant?

We know that in the question, we have been told that A 3.0 g spider is dangling at the end of a silk thread. You soon discover that you can give the spider the largest amplitude on his little bungee cord if you tap exactly once every second.

Thus using;

T = 2π√m/k

m = mass of the spider

k = spring constant

T = time in seconds

Then;

1 = 2 * 3.142√3 * 10^-3/K

1/2 * 3.142 = √3 * 10^-3/K

(1/2 * 3.142 )^2 = 3 * 10^-3/K

K = 3 * 10^-3/(1/2 * 3.142 )^2

K = 0.12

Learn more about the spring constant:https://brainly.com/question/14159361

#SPJ1

what happens inside when an air-filled, sealed can, is heated?responsesthe collisions of air molecules against the wall of the can do not change.the collisions of air molecules against the wall of the can do not change.the collisions of air molecules against the wall of the can are weaker and less frequent.the collisions of air molecules against the wall of the can are weaker and less frequent.the collisions of air molecules against the wall of the can are stronger and more frequent.

Answers

When an air-filled, sealed can is heated, the temperature of the air inside the can increases.

What is temperature?

Temperature is the measure of the average kinetic energy of the particles in a substance. Temperature is measured using a thermometer and is usually expressed in degrees Celsius (°C), Fahrenheit (°F), Kelvin (K), or Rankine (R).

This causes the air molecules to move faster, resulting in more frequent and stronger collisions against the wall of the can. As the temperature of the air inside the can continues to increase, the air molecules move faster and the collisions against the wall of the can become stronger and more frequent.


To learn more about temperature
https://brainly.com/question/28912732
#SPJ4

the emotional atmoshere is very controlled and restricted for mom,jaja, and kambili due to how extremely controlling eugene, the father is. due to papas ways the children do not ever speak up, never laugh , never live a true childhood and never smile. they are also never allowed to fail or be themselves. papa is so strict because he did not have much in his own childhood and want his kids to not take what they are given for granted. he also is this way he justifies everything out of the bible and almost views himself as a god.

Answers

Due to Eugene's intense control, the emotional environment for mom, jaja, and kambili is very confined and controlled.

The children never laugh, speak up, truly experience childhood, or grin as a result of Papa's ways. Additionally, they are never permitted to make mistakes or be themselves. Papa is very severe because he did not have a lot growing up and wants his children to appreciate what they have. He is this way also because he virtually sees himself as a god and uses the bible to justify everything.

Eugene, the father, is incredibly controlling, which restricts and controls the emotional atmosphere for mom, jaja, and kambili. Due to papa's ways, the kids never speak up, laugh, or truly experience childhood. They also never smile. They're never let to make mistakes or be themselves, either. Papa is very severe because he did not have a lot growing up and wants his children to appreciate what they have. He too thinks this way; he uses the Bible to support all he does and almost considers himself to be divine.

Learn more about the atmosphere here: https://brainly.com/question/1844421

#SPJ4

what is most nearly the force (in kips) in member cd in the truss shown, where tension is positive and compression is negative?

Answers

If the value is positive, the member is in tension; otherwise, the member is in compression if the value is negative.

What is force?

A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity because it has both magnitude and direction. The term "force" has a specific meaning in science. At this level, it is perfectly acceptable to refer to a force as a push or a pull. A force is not something that an object possesses or possesses. Another object applies a force to another. The concept of a force is not restricted to living or non-living things.

Here,

If the value is positive, the member is in tension; if it is negative, the member is in compression.

To know more about force,

https://brainly.com/question/30174273

#SPJ4

which of the following can be used to organize large volumes of data into meaningful patterns and summaries?

Answers

Data mining can be used to organize large volumes of data into meaningful patterns and summaries.

Large data sets are sorted through in data mining in order to find patterns and relationships that may be used in data analysis to assist solve business challenges. Enterprises can forecast future trends and make more educated business decisions thanks to data mining techniques and technologies.

Data mining is a crucial component of data analytics as a whole and one of the fundamental fields in data science, which makes use of cutting-edge analytics methods to unearth valuable information in data sets. Data mining, at a more detailed level, is a step in the knowledge discovery in databases (KDD) procedure, a data science approach for obtaining, processing, and evaluating data. Although they are often used interchangeably, data mining and KDD are more frequently understood to be separate concepts.

To learn more about data mining:

https://brainly.com/question/29052328

#SPJ4

Give an example where a combination of three nonzero vectors in R4 is the zero vector. Then write your example in the form Ax = 0. What are the shapes of A and x and 0 ?

Answers

An example where a combination of three nonzero vectors in R4 is the zero vectorv1 = [1, 2, 3, 4] : v2 = [2, 4, 6, 8] ; v3 = [-1, -2, -3, -4]    A = [[1, 2, -1], [2, 4, -1], [3, 6, -1], [4, 8, -0.5]]; x = [a, b, c]^T ; 0 = [0, 0, 0, 0]

What is meant by vectors?

Vectors are the combination of magnitude and direction, and they are drawn as arrows.

An example of a combination of three nonzero vectors in R4 being the zero vector is when the three vectors are linearly dependent. For example, let's consider the following three vectors in R4:

v1 = [1, 2, 3, 4]

v2 = [2, 4, 6, 8]

v3 = [-1, -2, -3, -4]

These three vectors are linearly dependent, because v3 can be written as a linear combination of v1 and v2:

v3 = -1 * v1 + -0.5 * v2

Their combination is the zero vector:

v1 + v2 + v3 = [1, 2, 3, 4] + [2, 4, 6, 8] + [-1, -2, -3, -4] = [2, 8, 12, 16] + [-1, -2, -3, -4] = [1, 6, 9, 12] + [-1, -2, -3, -4] = [0, 4, 6, 8] + [-1, -2, -3, -4] = [-1, 2, 3, 4] + [-1, -2, -3, -4]=[-2, 0, 0, 0]=[0, 0, 0, 0]

We can express this in form Ax = 0 where A is a matrix and x is a column vector.

A = [[1, 2, -1], [2, 4, -1], [3, 6, -1], [4, 8, -0.5]]

x = [a, b, c]^T

0 = [0, 0, 0, 0]

To know more about vectors, refer

https://brainly.com/question/27854247

#SPJ4

a drug is infused into a patient's bloodstream at a constant rate of r grams per second. simultaneously, the drug is removed at a rate proportional to the amount x(t) of the drug present at time t. determine a differential equation for the amount x(t). (use k > 0 for the constant of proportionality and x for x(t).)

Answers

The constant of proportionality (k) is used to represent the rate at which the drug is removed.

What is proportionality?

Proportionality is a mathematical concept that describes the relationship between two variables in which the ratio of their values is always constant. This ratio is known as a proportion and is expressed as a fraction.

The differential equation for the amount x(t) is given by:
dx/dt = r - kx
This equation states that the rate of change of x (dx/dt) is equal to the rate of infusion (r) minus the rate of removal (kx).
The rate of removal is proportional to the amount of the drug present at time t (x).
Therefore, the constant of proportionality (k) is used to represent the rate at which the drug is removed.

To learn more about proportionality
https://brainly.com/question/17010736
#SPJ4

in a command economy, which group is most responsible for producing the goods for people in society need

Answers

In a command economy, the government is responsible for producing the goods that people need.

In a command economy, what does the government accomplish?

The production and distribution of goods and services are directed and regulated by the government in a command economy. The prices at which these goods and services are sold are set by the government, which also controls and manages the production and supply of these goods and services.

The government also decides what will be produced in terms of goods and services as well as how resources will be distributed. The majority of the resources and businesses are owned by the government, which also sets production targets and determines how they will be achieved.

The government also sets the wage rate and manages the flow of money, including the interest rate. Additionally, the government offers its citizens basic services like health care and education.

To learn more about command economy refer :

https://brainly.com/question/4379731

#SPJ1

Which of the following options correctly reflect the equation relating Kp and Kc for a given reaction?Kp = Kc (RT)^ΔnT is the temp. in kelvinR= 0.0821 atmL/ molK(it is usually assumed that pressures are measured in atm)Δn is determined from the coefficients of the balanced equation.

Answers

The equation relating Kp and Kc for a given reaction is Kp = Kc (RT)^Δn.

What is equation?

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two expressions connected by an equal sign, and it expresses the relationship between the two expressions. Equations can be used to solve for unknown quantities, to describe physical phenomena, and to model real-world situations. Different kinds of equations are used in various fields of science and mathematics, ranging from simple linear equations to complex differential equations.

Where:

Kp is the equilibrium constant for the reaction at a given pressure

Kc is the equilibrium constant for the reaction at a given concentration

R is the ideal gas constant and is equal to 0.0821 atmL/molK

T is the temperature in Kelvin

Δn is determined from the coefficients of the balanced equation, and represents the sum of the moles of products minus the sum of the moles of reactants in the reaction.

To learn more about equation
https://brainly.com/question/26408808
#SPJ4

in an experiment, students use a force sensor to apply a force of magnitude to an object of mass that is initially at rest. the force is exerted in the -direction for a time . the impulse exerted on the device is . which of following procedure changes would result in an impulse being exerted on an object? A Exert a force of magnitude on an object of mass m for a time t T. B Exert a force of magnitude on an object of mass 2m for a time t = 2T. 2 Exert a force of magnitude F on an object of mass 2m for a time t = 2T. D Exert a force of magnitude 2F on an object of mass m for a time t = 2T. E Exert a force of magnitude 2F on an object of mass m for a time t = .

Answers

Option D: Apply a force of magnitude 2F for a period of time t=2T to a mass m object. The impulse will rise as the force, the passage of time, or the object's mass increase.

The force times the length of time that the force is applied to an item results in the impulse. For a force to impose an impulse on an item, both the force applied and the time period during which it is applied must be non-zero. The scenario in which a force of magnitude 2F is applied to an item of mass m over a period of time t = 2T results in option D being the right response. This is so that, since the impulse is computed as the product of force and time, the impulse will not change if the force and time are both doubled. Alternatives like A, B, and C wouldn't cause an impulse to be applied to an object.

learn more about magnitude here:

https://brainly.com/question/28173919

#SPJ4

which of the following correctly describes the meridian in your sky? group of answer choices the boundary between the portion of the celestial sphere you can see at any moment and the portion that you cannot see a half-circle extending from your horizon due north, through your zenith, to your horizon due south a half-circle extending from your horizon due east, through your zenith, to your horizon due west a half-circle extending from your horizon due east, through the north celestial pole, to your horizon due west the point directly over your head

Answers

The celestial meridian is a hypothetical line that passes through the NCP, the zenith, the north point on the horizon, and the south point on the horizon before ending at the south point.

What point in your sky is the Meridian?The zenith is the point immediately overhead, and the meridian is a fictitious half-circle running from the horizon's due south to its due north, passing through the zenith. The direction along the horizon and the height above the horizon of any object in the nearby sky can be used to identify it.The celestial meridian is a hypothetical line that passes through the NCP, the zenith, the north point on the horizon, and the south point on the horizon before ending at the south point. A western and an eastern half of the sky are separated by it.                      

To learn more about celestial meridian refer to:

https://brainly.com/question/28997796

#SPJ4

Other Questions
Which phrase represents this expression?7 4 + 3Responses3 more than the product of 7 and 4the product of 7 and the sum of 4 and 3the product of 7 and the difference of 4 and 33 less than the product of 7 and 4 10g of boron combines with hydrogen to form 11.554g of a pure compound. what is the empirical formula of this compound? PLEASE HELPP,TEST QUESTION LIMITED TIME!!Question- Given circle C with center (3, 4) and radius of 10, and circle D with center (0,1) and radius of 2, what sequence of transformations should be used to prove circle C is similar to circle D by mapping C onto D? Show all work and explain your reasoning. what medications are traditionally used in treatment of physical symptoms of premenstrual syndrome classify each event in the history of life into the appropriate eon or era. Which of the following characteristics of a red blood cell increases its ability to carry oxygen to the tissues?1) Lacking mitochondria, RBCs rely exclusively on anaerobic fermentation to produce ATP.2) The cytoplasm of an RBC consists mainly of a 33% solution of hemoglobin.3) RBCs lose nearly all organelles during their development.4) The cytoplasm also contains an enzyme, carbonic anhydrase.5) Lacking a nucleus and DNA, RBCs also are incapable of protein synthesis and mitosis. your friend, who is in a field 70 meters away from you, kicks a ball towards you with an initial velocity of 18 m/s. assuming the grass causes the ball to decelerate at a constant rate of 1.0 m/s2, how long does it take for the ball to reach you? which of the following are characteristics shared by all living things, a fact that supports the conclusion of common ancestry? According to statistics from the Centers for Disease Control, the number of deaths byAIDS has dropped; however, the slowing decline concerns experts. Considering the dataabout new AIDS cases provided in the circle graph, what conclusion can be drawn aboutthe AIDS epidemic in 2000?A. AIDS medications are powerful and extremely successful.B. Most people are not concerned about AIDS.C. All races are equally affected by the AIDS epidemic.OD. Many people are still misinformed about the severity of AIDS.E. More children and teenagers are affected by AIDS than adults. this question is for the 7 habits book and I just want to say thank you to everyone Bronson is collecting data about the growth of competitor firms over the last quarter and is interested in the factual data as well as a few stories and news reports about how this growth has been perceived and experienced by customers. The type of data he needs to gather would be internal and external internal and external internal only internal only qualitative and quantitative qualitative and quantitative internal and qualitative which of the following would all be considered real assets? multiple choice question. automobiles, land, and insurance bank accounts, insurance, and automobiles land, buildings, and equipment stocks, bonds, and insurance (Inspectors of factories 1862) had the 1833 factory act become more effective 30 years after its passing? Explain your answer. (Hint: is the number of convictions a good or bad sign) in the last row of the table, calculate and enter the value of the upi for the remaining years.between 2020 and 2021, the upi increased by ____. between 2021 and 2022, the upi increased by ____. which of the following, if true, would illustrate why price indexes such as the upi might overstate inflation in the cost of going to college? check all that apply. professors required each student to buy eight notebooks, regardless of the price. the quality of content provided by streaming services improved dramatically from 2020 to 2022. many companies invested heavily in the actors cast for their original series, but this quality change is hard to measure. as the price of textbooks increased, more and more students turned to the used-book market or chose not to buy textbooks at all, instead using the copies on reserve in the library. a natural dietary supplement is developed that is clinically proven to safely boost memory. Determine any point(s) of intersection of the equations algebraically. Then use a graphing utility to verify your results. y = x^2 - x + 1 the country of agoria has a moderate level of per capita national income. a few of agoria's megacities are highly industrialized, but agoria also has huge slum areas with low standards of living. agoria is most likely a . group of answer choices second world nation third world nation fourth world nation first world nation Multiply the complex numbers below and simply your answer. Show work. (3i-2)(51-6) which are the advantages of the team nursing model of providing nursing care? select all that apply. one, some, or all responses may be correct. the nursing care conferences help solve client problems. if the cart moves along the track at a constant speed, what are the cart's velocity and acceleration vectors at points a, b, and c? start your vectors at the corresponding black dots. the orientation of your vectors will be graded. the exact length of your vectors will not be graded. Read the passage from Olaudah Equianos autobiography.The closeness of the place, and the heat of the climate, added to the number in the ship, which was so crowded that each had scarcely room to turn himself, almost suffocated us. The air soon became unfit for respiration from a variety of loathsome smells, and brought on a sickness among the slaves, of which many died . . . The shrieks of the women, and the groans of the dying, rendered the whole a scene of horror almost inconceivable.What is the main idea described in the text?Deaths of enslaved people occurred on slave ships.Slave ships were crowded, yet cool places.The existence of human suffering filled slave ships.Slaves were confined to small and dark places.