three resistors with values of 5 ohms, 7 ohms, and 9 ohms are connected in parallel to a 12v battery. what is the equivalent resistance of the circuit? sketch the circuit.

Answers

Answer 1

This completes the parallel circuit with three resistors connected to a 12V battery. So, the equivalent resistance of the circuit is approximately 2.202 ohms.

To find the equivalent resistance of a parallel circuit with three resistors, you can use the formula:
1 / Req = (1 / R1) + (1 / R2) + (1 / R3)
Given the resistor values:
R1 = 5 ohms
R2 = 7 ohms
R3 = 9 ohms
Let's calculate the equivalent resistance:
1 / Req = (1 / 5) + (1 / 7) + (1 / 9)
1 / Req = 0.2 + 0.14286 + 0.11111
1 / Req ≈ 0.45397
Now, to find the equivalent resistance, take the reciprocal of this value:
Req = 1 / 0.45397
Req ≈ 2.202 ohms
So, the equivalent resistance of the circuit is approximately 2.202 ohms.
As for the sketch of the circuit, unfortunately, I am unable to draw here, but I can describe it for you:
1. Connect the positive terminal of the 12V battery to a junction point.
2. From this junction point, connect three separate wires to the first ends of each resistor (5, 7, and 9 ohms).
3. Connect the second ends of all three resistors to another junction point.
4. Finally, connect this second junction point to the negative terminal of the 12V battery.
This completes the parallel circuit with three resistors connected to a 12V battery.

For more such questions on resistors , Visit:

https://brainly.com/question/28135236

#SPJ11


Related Questions

If Density is equal to Mass / Volume, what is the density of a metal block having mass of 10. cg and sides equaling 10., 15., and 20. centimeters.

Answers

The density of a metal block having a mass of 10 cg and sides equaling 10, 15, and 20 centimeters is 3.33 × 10-⁵g/cm³.

How to calculate density?

The density of a substance can be calculated by dividing the mass of the substance by its volume.

That is;

Density = mass ÷ volume

According to this question, a metal block has a mass of 10 cg and sides equaling 10, 15, and 20 centimeters.

Volume of the metal block = 15 × 20 × 10 = 3000cm³

Mass of metal block in grams = 0.1g

Density of metal block = 0.1g ÷ 3000cm³

Density = 3.33 × 10-⁵g/cm³

Therefore, the density of a metal block having a mass of 10 cg and sides equaling 10, 15, and 20 centimeters is 3.33 × 10-⁵g/cm³.

Learn more about density at: https://brainly.com/question/15164682

#SPJ1

Marking branliest!

Jasper and Samantha are in a robotics competition. The guidelines state that the robots should be able to move a 10-gram weight at least 2 meters and turn in a circle. Jasper and Samantha have already built the robot.


Which step of the design process should they follow next to decide whether their robot meets the minimum criteria for the competition?


A)identifying a problem or need

B)designing a solution

C)implementing a solution

D)evaluating a solution

Answers

Answer:

D)evaluating a solution

Explanation:

In this scenario, the next logical step would be evaluating a solution. This is because Jasper and Samantha have already identified the problem/need which is that the robot needs to be able to move a 10-gram weight at least 2 meters and turn in a circle. They also designed and implemented a solution because they have already built the robot. Therefore the only step missing is to evaluate and make sure that the robot they built is able to complete the requirements.

A sample of diamagnetic material is initially at rest in a uniform magnetic field. if no other forces are present, how will the sample move

Answers

The sample will move very slowly in the opposite direction of the applied magnetic field, but it will eventually come to a stop when it reaches equilibrium.

Diamagnetic materials, unlike ferromagnetic or paramagnetic materials, do not possess any permanent magnetic moment or net magnetic dipole moment. The magnetic force acting on the diamagnetic material is perpendicular to its velocity, and hence it cannot accelerate the material along the direction of the magnetic field.

Since the sample is made of diamagnetic material, it will have a very weak and temporary magnetic moment induced in it when placed in a magnetic field. This induced magnetic moment will be in the opposite direction to the applied magnetic field. Therefore, the sample will experience a force in the direction opposite to the applied magnetic field. However, this force will be very weak since the diamagnetic material has a weak magnetic susceptibility.

To know more about diamagnetic materials, click here

https://brainly.com/question/30320581

#SPJ11

Which of the following best defines a nonrenewable resource?

A resource that cannot be replenished
A resource that is difficult to recover
A resource that is replenished at a rate slower than it is used
Any resource that exists in finite quantities (there is only a certain amount)

Answers

Answer:

I think it's this A resource that is replenished at a rate slower than it is used

Any resource that exists in finite quantities (there is only a certain amount)

Answer:

A resource that is difficult to recover.

What are some of the different measurements scientists can compare using graphs

Answers

Answer:

Popular graph types include line graphs, bar graphs, pie charts, scatter plots and histograms. Graphs are a great way to visualize data and display statistics. For example, a bar graph or chart is used to display numerical data that is independent of one another.

Graphs are a useful tool for scientists to visualize and compare different measurements. Here are some examples of measurements that scientists can compare using graphs: Time-series data, Relationships between variables, Proportions, Distribution of data and Comparing groups.

What is scientist ?

Before the establishment of contemporary scientific fields, the responsibilities of "scientists" and their forerunners underwent significant change over time. The social norms, ethical principles, and epistemic virtues that have been associated with scientists—and what has been expected of them—over time have also changed. This is true of scientists of different eras as well as of the natural philosophers, mathematicians, historians, theologians, and engineers who preceded them and contributed to the development of science. Consequently, depending on whatever aspects of contemporary science are seen to be crucial, a wide range of historical personalities might be classified as early scientists.

To know more about Scientist :

https://brainly.com/question/17450573

#SPJ2.

The electric field is created by a voltage of 100 V. What's the
electric field intensity of the uniform electric field?

Answers

Length of wire be l=1

Electric field intensity

\(\\ \tt\hookrightarrow \dfrac{V}{l}\)

\(\\ \tt\hookrightarrow \dfrac{100}{l}\)

\(\\ \tt\hookrightarrow 100N/C\)

The electric field intensity across the wire depends upon the voltage and its length. The electric field intensity across the wire is 100 V/m.

What is the electric field intensity?

The electric field intensity is defined as the force experienced by the unit positive charge placed at that point.

Given that the voltage is 100 V. If the length of the wire is 1m, then the electric field intensity across the wire is given as below.

\(E = \dfrac {V}{d}\)

Where E is the electric field intensity, V is the voltage across the wire and d is the length of the wire.

\(E = \dfrac {100}{1}\)

\(E = 100 \;\rm V/m\)

Hence we can conclude that the electric field intensity across the wire is 100 V/m.

To know more about the electric field intensity, follow the link given below.

https://brainly.com/question/3104386.

What led astronomers to believe in the existence of dark matter?

A. the fact that space is black
B. the big bang theory
C. the apparent effects of the gravity of unseen matter on visible objects
D. the existence of black holes

Answers

it’s either C or D. let me know but I would do C!

because the original assumption about all matter interacting with electromagnetic radiation was proved incorrect for the milky way galaxy, scientists next need to determine whether the assumption still holds true for other galaxies. to do this, scientists need a way to calculate the masses of individual galaxies and galaxy clusters, so they can compare those masses with the luminous matter we actually observe. astronomers use rotation curves to measure the masses of individual spiral galaxies. the faster the stars orbit about the center of a galaxy, the more mass there is between them and the galactic center.

Answers

Astronomers use rotation curves to measure the masses of individual spiral galaxies based on the speed at which stars orbit the galactic center.

The original assumption that all matter interacts with electromagnetic radiation was proven incorrect for the Milky Way galaxy. To further understand the behavior of matter in other galaxies, scientists are now focused on investigating whether this assumption still holds true in different galactic contexts. To accomplish this, they require a method to calculate the masses of individual galaxies and galaxy clusters, which can then be compared with the observed luminous matter.

Astronomers utilize rotation curves as a means to determine the masses of spiral galaxies. These curves provide insights into the speed at which stars orbit around the central region of a galaxy. The underlying principle is that the more mass there is between the stars and the galactic center, the faster the stars will orbit. By analyzing these rotation curves, scientists can estimate the amount of mass present within the galaxy, including both visible matter and potential invisible components such as dark matter.

This approach allows researchers to study the distribution of mass within galaxies and evaluate whether the observed luminous matter alone can account for the gravitational forces that govern the observed motions. By comparing the calculated masses derived from the rotation curves with the masses inferred from the observed luminosity, scientists can gain valuable insights into the existence and properties of dark matter in galaxies.

Learn more about Galactic center

brainly.com/question/31661499

#SPJ11

Calculate the maximum potential energy of the coaster if it has a
mass of 540 kg?

Calculate the maximum potential energy of the coaster if it has amass of 540 kg?

Answers

With a mass of 540 kg and a height of 20 m at the starting position, the maximum potential energy of the coaster is 105,840 Joules.

To calculate the maximum potential energy of the coaster, we need to determine the height at which the maximum potential energy occurs. Given the positions:

- Starting position: 20 m

- Displacement: 15 m

- End position: 10 m

The maximum potential energy of the coaster will be at the starting position since it has the highest height among the given locations.

To calculate the potential energy, we can use the formula:

Potential Energy (PE) = mass (m) * acceleration due to gravity (g) * height (h)

Given:

Mass of the coaster (m) = 540 kg

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) = 20 m

Substituting the values into the formula, we can calculate the maximum potential energy:

PE = 540 kg * 9.8 m/s² * 20 m

PE = 105,840 J (Joules)

Please note that potential energy depends on the height and not on the displacement or the end position. In this case, the starting position, with a height of 20 m, corresponds to the location with the maximum potential energy.

For more such information on: potential energy

https://brainly.com/question/14427111

#SPJ8

How long will it take an object dropped out a window to fall 176.4 meters?

Answers

Answer:

6 seconds

Explanation:

\(d=v_ot+\dfrac{1}{2}at^2\)

Since the object is being dropped out of the window, it has no initial velocity.

\(176.4=\dfrac{1}{2}(9.8)t^2 \\\\t^2=36 \\\\t=6\text{ seconds}\)

Hope this helps!

Answer:

6 seconds

Explanation:

The formula for free fall is:

h = 1/2gt^2

We know that the height is 176.4 meters. We also know that on Earth, gravity is 9.8 m/s^2.

h=176.4

g=9.8

Substitute these values into the formula.

176.4=1/2(9.8)*t^2

Multiply 9.8 and 1/2

176.4=4.9*t^2

t^2 and 4.9 are being multiplied. The opposite of multiplication is division. Divide both sides by 4.9

176.4/4.9=4.9*t^2/4.9

176.4/4.9=t^2

36=t^2

t is being squared. The opposite of squared is the square root. Take the square root of both sides.

√36=√t^2

√36=t

6=t

t=6 seconds

It will take 6 seconds for the object to fall 176.4 meters.

Astronomy Questions
3. The distance to our north star, Vega, is \( 25.05 \) light years or \( 147,257,919,657,004 \) miles. Write the number of miles to Vega in scientific notation, keep only 3 significant figures. 4. Wh

Answers

The distance to Vega is ( 25.05 ) light years or ( 147,257,919,657,004 ) miles. Therefore, the number of miles to Vega in scientific notation with only 3 significant figures is ( 1.47₆ 10¹⁴ ).

To write the number of miles to Vega in scientific notation with only 3 significant figures, we can use the following steps:

Write the number in scientific notation with all significant figures: ( 1.47257919657004 \times 10¹⁴ ).

Round the number to 3 significant figures: ( 1.47 \times 10¹⁴ ).

Therefore, the number of miles to Vega in scientific notation with only 3 significant figures is ( 1.47₆ 10¹⁴ ).

To know more about scientific notation

https://brainly.com/question/1767229

#SPJ4

list at least three differences between sound waves and light waves

Answers

The main differences between sound waves and light waves are their medium of propagation, speed of propagation, and nature of interaction. Sound waves require a medium and travel at slower speeds compared to light waves.

Medium of Propagation:

Sound waves require a medium, such as air, water, or solids, to propagate. They are mechanical waves that travel through the vibration of particles in the medium. On the other hand, light waves can propagate through vacuum or empty space and do not require a medium. They are electromagnetic waves that consist of oscillating electric and magnetic fields.

Speed of Propagation:

Sound waves travel at a much slower speed compared to light waves. The speed of sound depends on the medium it travels through, with an approximate speed of 343 meters per second (m/s) in air at room temperature. In contrast, light waves travel at a constant speed of approximately 299,792,458 meters per second (m/s) in a vacuum, which is often rounded to 3.00 x 10^8 m/s for simplicity.

Nature of Interaction:

Sound waves interact differently with objects compared to light waves. Sound waves can be diffracted, reflected, refracted, and absorbed by objects in their path. They can bend around obstacles and travel through materials of different densities. In contrast, light waves can exhibit properties such as reflection, refraction, diffraction, interference, and polarization. They can be reflected off surfaces, refracted through lenses, diffracted around edges, and exhibit interference patterns.

Medium of Propagation:

Sound waves require a medium for their propagation because they rely on the mechanical vibrations of particles in the medium to transmit energy. When an object vibrates, it compresses and rarefies the surrounding particles, creating regions of higher and lower pressure. These pressure variations travel through the medium as a wave. For example, in air, sound waves propagate as compression waves, where particles compress together in regions of high pressure and spread apart in regions of low pressure.

Light waves, on the other hand, are electromagnetic waves that consist of oscillating electric and magnetic fields. They do not require a medium to propagate because the electric and magnetic fields can self-sustain and travel through empty space. This property allows light waves to travel through vacuum, making them capable of reaching us from distant stars and galaxies.

The main differences between sound waves and light waves are their medium of propagation, speed of propagation, and nature of interaction. Sound waves require a medium and travel at slower speeds compared to light waves. They interact differently with objects, while light waves exhibit properties such as reflection, refraction, diffraction, interference, and polarization. These distinctions arise from the fundamental differences in the nature of sound waves as mechanical waves and light waves as electromagnetic waves.

To  know more about Waves, visit;

https://brainly.com/question/26116832

#SPJ11

Which two characteristics increase the strength of the gravitational force
between two objects?
A. Having centers that are closer together
B. Having hollow centers
C. Having greater masses
D. Having greater charges

Answers

Answer:

The answer is A and C.

Explanation:

Only two factors are relevant when dealing with the gravitational force between two objects - their mass and their distance apart from one another. Gravity's force is proportional to the product of the masses of the two objects and is inversely proportional to the square of the distance between them.

Which of the following does not correctly describe the position of the turtle and why?

Which of the following does not correctly describe the position of the turtle and why?

Answers

Answer:

C. 2m to the right of the rollerblader

Explanation:

The turtle is 2m to the LEFT of the rollerblader, so its the only option not describing the position of the turtle:)

Hope this helps, have a great day;)

What is the origin of all stars?

supernova
dwarfs
protostars
nebulae

Answers

Answer:

Protostars

Explanation:

Imagine a place in deep space, free from all gravitational and frictional
influences. If a rock were thrown here it would continue in uniform motion until a
force acted on it. This is an example of Newton's: *
A. First Law
B. Second Law
C. Little known Fourth Law
D. Third Law

Answers

Answer:

c

Explanation:

10. What is the potential energy of a 3 kg ball that is up a hill of height 40 meters?

Answers

Answer:

1200J

Explanation:

m=3,h=40 while g= 10m/s^2

P.E=mgh

= 3 x 40 x10

=1200J

A 15x10-6c charge is placed at the origin and a 9x10-6c charge is placed on the x-axis at x=1.00m. where, on the x-axis is the electric field equal to zero?

Answers

The point on the x-axis where the electric field is zero is 1.6667 * C / r1² = C / r2².

We would need additional information such as the distances of the charges from the point on the x-axis.  We cannot determine the exact point on the x-axis where the electric field is zero.

To find the point on the x-axis where the electric field is equal to zero, we need to consider the electric fields created by each charge individually and then determine the point where the net electric field cancels out.

Let's calculate the electric field created by each charge separately using Coulomb's law:

For the charge at the origin:

E1 = k * |q1| / r1²

For the charge on the x-axis at x = 1.00 m:

E2 = k * |q2| / r2²

where:

E1 and E2 are the electric fields created by the charges q1 and q2, respectively

k is the electrostatic constant (k ≈ 9 × 10⁹ N m²/C²)

|q1| and |q2| are the magnitudes of the charges

r1 and r2 are the distances from the charges to the point on the x-axis where we want to find the electric field

To cancel out the net electric field, the magnitudes of E1 and E2 must be equal. Therefore, we can set up the equation:

E1 = E2

k * |q1| / r1² = k * |q2| / r2²

Substituting the given values:

15x10⁻⁶ C / r1² = 9x10⁻⁶ C / r2²

1.6667 * C / r1² = C / r2²

To find the point on the x-axis where the electric field is zero, we need to find the values of r1 and r2 that satisfy this equation.

However, we don't have enough information to determine the specific values of r1 and r2 from the given information. We would need additional information such as the distances of the charges from the point on the x-axis.

Therefore, without further information, we cannot determine the exact point on the x-axis where the electric field is zero.

learn more about x-axis on

https://brainly.com/question/2491015

#SPJ11

If a car and truck going at 100 MPH hit the brakes at the SAME time on the SAME road, will they both leave the SAME skid marks?

Answers

Answer:

Below

Explanation:

Possibly.... it would depend on the weights of the vehicles and the coefficient of static friction of each of the configurations for the vehicles .

Different tires have different coeff static friction

you take a lens and mask it so that light can pass through only the bottom half of the lens. how does the image formed by the masked lens compare to the image formed before masking?

Answers

When a lens is masked so that light can pass through only the bottom half of the lens, the image formed will be distorted compared to the image formed before masking.

The image formed by the lens is a result of the bending of light by the lens, which is known as refraction. The amount of bending of light depends on the curvature of the lens and the wavelength of the light. When the lens is masked so that only the bottom half of the lens is allowed to pass light, the top half of the lens is not able to refract light. Therefore, the image formed by the lens will bez distorted, as the light passing through the bottom half of the lens will be bent differently than the light passing through the top half of the lens. Additionally, the image formed will be dimmer because only half of the lens is available to form the image. In general, masking a lens in such a way that not all of it is allowed to pass light will result in a distorted and or dimmer image.

To know more about lens please refer: https://brainly.com/question/10564211

#SPJ4

Kjeld Nuis holds the world speed skate record. If he can travel at 25.8 m/s with a momentum of 2244.6 kg⋅m/s, what is his mass in kg?

Answers

Answer:

87kg

Explanation:

2244.6kg divided by 25.8 m = 87 kg

Answer:

87kg

Explanation:

momentum formula= p=mv

rearrange the formula ==> m=p/v

2244.6/25.8= 87kg

An athlete swings a 5. 00-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0. 800 m at an angular speed of 0. 500 rev/s. What are (a) the tangential speed of the ball and (b) its centripetal acceleration

Answers

a) The tangential speed of the ball is 1.26 m/s

b) The centripetal acceleration of the ball is 1.99 m/s^2.

We need to use the formulas for tangential speed and centripetal acceleration:

Tangential speed = radius x angular speed

Centripetal acceleration = (tangential speed)^2 / radius

Given:

Mass of the ball, m = 5.00 kg

Radius of the circle, r = 0.800 m

Angular speed, ω = 0.500 rev/s

We need to convert the angular speed from revolutions per second to radians per second:

ω = 0.500 rev/s x 2π rad/rev = 1.57 rad/s

(a) Tangential speed of the ball:

v = rω = 0.800 m x 1.57 rad/s = 1.26 m/s

(b) Centripetal acceleration of the ball:

a = v^2 / r = (1.26 m/s)^2 / 0.800 m = 1.99 m/s^2

Learn more about centripetal acceleration here

brainly.com/question/29354691

#SPJ4

What is true about cooling down?
A.
It causes blood to pool in your feet.
B.
It is not an important part of exercising.
C.
It keeps your blood flowing evenly.
D.
It will cause you to do stiff and sore.

Answers

Answer:

C

Explanation:

because cooling down makes your blood flow through your body much easier and fatser.

Answer:

C.It keeps your blood flowing evenly.

Explanation:

help!! this makes no sense to me

help!! this makes no sense to me

Answers

3 meters i’m pretty sure

Answer:

3 meters

Explanation:

Velocity = displacement/time

Displacement=velocity×time

As, time from 7 to 8 is 1 sec. And velocity increases from 0 to 3 m/s

So, Displacement = 3×1

=3m

Please give me brainlist.

an object placed 6 cm from a concave spherical mirror produces a virtual image 7.5 cm behind the mirror. if the object is moved back to 15 cm from the mirror, where is the image located?

Answers

The image is located 1.43 cm behind the concave mirror when the object is moved to a distance of 15 cm from the mirror.

To solve this problem, we can use the mirror formula:

1/f = 1/do + 1/di

where f is the focal length of the mirror, do is the object distance, and di is the image distance.

We know that the mirror is concave, so its focal length is negative.  We also know that the image produced is virtual, so di is negative.

Using the given information for the first case:

do = 6 cm

di = -7.5 cm

f = ?

1/f = 1/do + 1/di

1/f = 1/6 + (-1/7.5)

1/f = -0.0333

f = -30 cm

Now, we can use the mirror formula again to find the image distance when the object is moved to a new position:

do = 15 cm

di = ?

f = -30 cm

1/f = 1/do + 1/di

1/-30 = 1/15 + 1/di

-1/30 = 1/di - 1/15

-1/30 = (15 - di)/15di

di(-1/30) = (15 - di)/15

-1.5 + 0.05di = di

1.05di = 1.5

di = 1.43 cm

To know more about mirror formula refer here

https://brainly.com/question/30242207#

#SPJ11

Two carts with masses of 14.7 kg and 3.2 kg
move in opposite directions on a frictionless
horizontal track with speeds of 6.7 m/s and
3.1 m/s, respectively. The carts stick together
after colliding head-on.
Find their final speed.

Answers

Answer:

Speed, V = 4.95m/s

Explanation:

Given the following data;

Mass, M1 = 14.7kg

Mass, M2 = 3.2kg

Velocity, V1 = 6.7m/s

Velocity, V2 = 3.1m/s

To find the final speed;

Mathematically, inelastic collision is given by the formula;

\( V = \frac{(M_{1}V_{1}+M_{2}V_{2})}{(M_{1}+M_{2})}\)

Where;

V is the final velocity in m/s.

M1 is the mass of the first object in kgs.

M2 is the mass of the second object in kgs.

V1 is the initial velocity of the first object in m/s.

V2 is the initial velocity of the second object in m/s.

Substituting into the equation, we have;

\( V = \frac{(14.7*6.7) - (3.2*3.1)}{14.7 + 3.2}\)

\( V = \frac{98.49 - 9.92}{17.9}\)

\( V = \frac{88.57}{17.9}\)

Speed, V = 4.95m/s

Reshape your vector so that it is completely horizontal and starts at the point (0,0). What is the value of ax? ay? θ? |a|? Do these values make sense?

Answers

The value of ax is |a| and the value of ay is 0. These values make sense.

To reshape the vector so that it is completely horizontal and starts at the point (0,0), we can use the following equation:

|a|cos(θ) = ax
|a|sin(θ) = ay

Since the vector is horizontal and starts at (0,0), this means that the angle θ is 0 degrees. We also know that |a| is the magnitude of the vector. So, we have:
ax = |a|cos(0) = |a|
ay = |a|sin(0) = 0
θ = 0 degrees
|a| = magnitude of the vector

These values make sense, since the x-component of the vector is |a|, and the y-component is 0, which is what we would expect when the vector is horizontal.

More such questions on vectors can be obtained here: https://brainly.com/question/17479959

#SPJ11

can y’all answer this I asked so many times I’m loosing points

At what temperature will the air in the oven have a thermal energy of 5.0 x 10 J?

Answers

Answer:

I think it is 50 j, I am not sure and also please let me know if I am wrong.

Answer: hey

Explanation:

How can we statistically study the evolution of galaxies many billions of years ago?.

Answers

We can contrast distant galaxies with nearby galaxies.

The cosmos is 13.7 billion years old, but how can they know that?

Although scientists are unsure of the universe's actual age, we estimate that it is somewhere between 13 and 14 billion years old. In order to determine the age of the universe, astronomers use two different methods: (a) searching for the earliest stars; and (b) measuring the universe's rate of expansion and projecting it back to the Big Bang.

How can the age of galaxies be determined?

The amount of time it took for the galaxies to get to their current distances is therefore t=D/v. However, we know that v=H0D because to Hubble's Law. Therefore, t=D/v=D/(H0D)=1/H0. Thus, 1/H0 can be used as a rough estimate for the  age of the Universe.

To know more about age of galaxies visit:-

https://brainly.com/question/15906708

#SPJ4


help please
A vector in the xy plane has components \( -14.0 \) units in the \( x \)-direction and 5 units in the \( y \)-direction. (a) What is the magnitude of the vector?

Answers

The magnitude of the vector with components -14.0 units in the x-direction and 5 units in the y-direction can be calculated using the Pythagorean theorem.

The magnitude of a vector represents its length or size. In the xy plane, the magnitude of a vector with components in the x-direction (horizontal) and y-direction (vertical) can be found using the Pythagorean theorem. The theorem states that the square of the magnitude of a vector is equal to the sum of the squares of its components.

For the given vector with components -14.0 units in the x-direction and 5 units in the y-direction, we can calculate its magnitude as follows:

Magnitude = sqrt(\(14^{2} } +5^{2}\))

Magnitude = sqrt(196 + 25)

Magnitude = sqrt(221)

Magnitude ≈ 14.87 units

Therefore, the magnitude of the vector is approximately 14.87 units. This represents the length or size of the vector in the xy plane, taking into account its components in the x and y directions.

Learn more about vectors here: https://brainly.com/question/30122065

#SPJ11

Other Questions
What is the acceleration of the box in the picture? Which of the following transformation sequences will produce similar, but not congruent, figures? Alejandro just graduated from college and wants to start saving for a new car. He would like to apply a downpayment of $15,000 at the end of 2 years in order to buy it. If his bank pays 4.1% interest, compounded annually. How much should he deposit each month? please help, due soon!! brainlyy a client has been admitted to a burn intensive care unit with extensive full-thickness burns over 25% of the body. after ensuring cardiopulmonary stability, what would be the nurse's immediate, priority concern when planning care? If you answer it l will give you the brianiest why the body responds to stimuli? write 5 to 7 add example real ones pls Information technology management careers include such jobs as:Chief Information OfficerChief Technology OfficerComputer Systems AdministratorInformation Systems ManagerInformation Security AnalystComputer Network ArchitectComputer Systems AnalystComputer ProgrammerComputer and Information Research ScientistWeb DeveloperNetwork AdministratorSoftware DeveloperDatabase AdministratorThe Occupational Handbook (Links to an external site.) published by the United States Department of Labor, Bureau of Labor Statistics, provides detailed information about hundreds of occupations, including, entry-level education, overall working environment and employment prospects.Using this handbook, research at least two of the career paths in the list above that might interest you. You may also want to use the handbook to check out computer and information systems managers and similar jobs. Is 26% greater than 3/8? What does Della's hair symbolize?O her soulher external beautyher inner beautyher love for her husband Sarah and her friends had a cookie stand at alocal ballgame. After the game, there was $42.00left in the cashbox once they paid all theirexpenses. Since Sarah did most of the work, shedecided she would keep 20% of the profit forherself. Everyone else received 05% of theremaining profits. How much did each personreceive? How much did Sarah receive? Which statement most accurately describes the human heart? Consider the linear regression model where is an endogenous regressor. Using a valid instrumental variable for , the first-stage regression of 2SLS isa. on 1 and .b. on 1 and .c. on 1, , and .d. on 1 and . For the following exercises, find the decomposition of the partial fraction for the irreducible nonrepeating quadratic factor. (6 pts) 4x2 + 17x - 1 (x + 3)(x2 + 6x + 1) For the following exercises, find the decomposition of the partial fraction for the educible repeating quadratic factor. (6 pts) x + 5x+5 (x + 2)2 Step 1: Write one paragraph discussing the impact of imperialism on China. Use the information you learned in the lesson about the impact of colonization on China in your response. Step 2: Write one paragraph discussing the motivations for and impact of imperialism on European nations. Use the information you learned in the lesson about the impact of colonization on European nations in your response. Which of the following statements correctly summarizes the process of photosynthesis? A. Reactions and the Calvin Benson cycle of the grana release oxygen into the atmosphere.B. Light dependent reactions convert CO2 to carbohydrates, which light independent reactions use to produce NADPH2 and ATP.C. CO2 is converted to carbohydrates through reactions fueled by products from the light independent reactions.D. Reactions in the thylakoids capture free energy from sunlight and use it to convert glucose and oxygen to water and carbon dioxide. When exercising, you shouldnt go past _____ to help avoid an injury.60 degrees75 degrees90 degrees120 degrees which action by a nurse demonstrates the correct application of the principles of standard precautions? Use Zero Product Property to find the roots/zeros/x-intercepts.y = 8x - 10x -3 Growing, Inc. is a firm that is experiencing rapid growth. The firm yesterday paid a dividend of $8.30. You believe that dividends will grow at a rate of 21.0% per year for years one and two, 15.0% per year for years three and four, and then at a rate of 8.0% per year thereafter. If you expect an annual rate of return of 24.0% on this investment, what is the most you would pay for the stock now? halfway through her shift, a nurse is told she will be getting several patient admissions. the nurse is fearful that she cannot provide safe care for so many patients. what initial steps must the nurse take if she decides to invoke safe harbor?