An analog voltage is in the range 0v to 5v. if it can be measured with an accuracy of /- 50mv (100 mv steps), at most how many bits of information does it convey/represent?

Answers

Answer 1

The correct answer is 5.64.

Since the analogue signal is divided every 100 mV for accuracy of 50 mV, we have 50 discrete observations from 0 to 5V. Thus

It's given that the accuracy is +/- 50mV. This essentially means that the length of interval of permissible accuracy is 100mV.

Now, it's given that the analog voltage range is 0-5 V. So, the number of discrete points in 0-5V will be as follows:

50V/100mV.

Upon solving, it comes out to be 50.

The number of bits is defined by the formula log_2n, where n is the number of discrete points.

In this case, n = 50. Putting the value in the formula,

No of bits = log_2 50

Upon solving,

No of bits = 5.64

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Related Questions

I need help, please!!!!!!!

In a reading essay of Racial Formation by Micheal and Howard, race is defined as a socio historical concept, what does this mean to them? Explain how race is socially constructed or strictly biological. Support two paragraphs.

Answers

Race as a socio-historical construct, highlights the importance of understanding the social, political, and economic contexts in which race is created and maintained.

What is race?

According to Michael Omi and Howard Winant, in "Racial Formations," race is a socio-historical concept that is constructed through the intersection of cultural, political, and economic forces.

In this book, they argue that race is not an immutable, biologically determined characteristic of individuals or groups but rather a social construct that is created and maintained through systems of power and inequality. The authors illustrate how race is constructed through examples from different historical periods and social contexts.

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You stand on a merry-go-round which is spinning at f = 0:25 revolutions per second. You are R = 200 cm from the center. (a) Find the angular speed ! At which it is spinning. (b) Find the centripetal acceleration, ac with which it is spinning. (c) What is the minimum coefficient of static friction is between your shoes and the floor that will keep you from slipping off?

Answers

Answer:

(a) ω = 1.57 rad/s

(b) ac = 4.92 m/s²

(c) μs = 0.5

Explanation:

(a)

The angular speed of the merry go-round can be found as follows:

ω = 2πf

where,

ω = angular speed = ?

f = frequency = 0.25 rev/s

Therefore,

ω = (2π)(0.25 rev/s)

ω = 1.57 rad/s

(b)

The centripetal acceleration can be found as:

ac = v²/R

but,

v = Rω

Therefore,

ac = (Rω)²/R

ac = Rω²

therefore,

ac = (2 m)(1.57 rad/s)²

ac = 4.92 m/s²

(c)

In order to avoid slipping the centripetal force must not exceed the frictional force between shoes and floor:

Centripetal Force = Frictional Force

m*ac = μs*R = μs*W

m*ac = μs*mg

ac = μs*g

μs = ac/g

μs = (4.92 m/s²)/(9.8 m/s²)

μs = 0.5

Identity ten devices that use cells or batteries. What types of cells or batteries are used in each device? Are the cells or batteries used the best choice?

Answers

Ten devices that use batteries are: smartphones, laptops, flashlights, digital cameras, portable speakers, electric toothbrushes , remote controls, electric shavers, handheld game consoles, and electronic toys

What are the batteries?

Here are ten devices that use cells or batteries:

Smartphones - most smartphones use rechargeable lithium-ion batteries.Laptops - laptops use rechargeable lithium-ion batteriesDigital cameras - digital cameras use rechargeable lithium-ion batteries or disposable alkaline batteriesElectric toothbrushes - electric toothbrushes typically use rechargeable nickel-metal hydride (NiMH) batteriesFlashlights - flashlights often use disposable alkaline batteries, although some models use rechargeable lithium-ion batteriesRemote controls - remote controls typically use disposable alkaline batteriesPortable speakers - portable speakers usually use rechargeable lithium-ion batteriesCalculators - calculators often use button cell batteries, such as the CR2032 lithium batteryWatches - watches use a variety of batteries, including button cell batteries like the SR626SW silver oxide battery or the CR2032 lithium batteryToys - many toys use disposable alkaline batteries

Whether or not the cells or batteries used in these devices are the best choice depends on various factors such as the device's power requirements, energy efficiency, cost, and environmental impact.

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The idea of cogeneration is to actively use ______ electricity generating plants.
A. solar as well as coal energy to produce electricity at
B. warm water as well as steam to produce electricity at
c. both electricity and waste steam heat from.

Answers

C. both electricity and waste steam heat from electricity generating plants.

The idea of cogeneration, also known as combined heat and power (CHP), is to actively utilize both electricity and waste steam heat from electricity generating plants. Cogeneration systems maximize energy efficiency by simultaneously generating electricity and capturing waste heat, which is typically produced as a byproduct of power generation. This waste heat can be used for various purposes, such as heating buildings, providing hot water, or powering industrial processes. By utilizing the waste heat that would otherwise be wasted, cogeneration systems significantly increase the overall efficiency and sustainability of power plants. This approach reduces the environmental impact and energy consumption associated with separate electricity generation and heat production, making cogeneration an attractive solution for achieving energy efficiency and resource optimization.

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sketch a velocity -time graph for a body thrown vertically upward to a maximum height​

Answers

The velocity time graph for a body thrown vertically upward to a maximum height is given below:

What is velocity?

The pace at which an object's position changes as perceived from a particular point of view and as measured by a particular unit of time (for example, 60 km/h northbound) is defined as its velocity. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.

In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). "5 metres per second," for example, is a scalar as opposed to "5 metres per second east," which is a vector.

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sketch a velocity -time graph for a body thrown vertically upward to a maximum height

calculate approximately how long it takes light to travel from the sun to pluto

Answers

It takes approximately 5.5 hours for light to travel from the Sun to Pluto

The distance from the Sun to Pluto varies depending on the positions of the two objects in their orbits, as both the Sun and Pluto are constantly moving. However, on average, the distance from the Sun to Pluto is about 5.9 billion kilometers or 3.7 billion miles.

The speed of light is approximately 299,792 kilometers per second or 186,282 miles per second.

Using these values, we can calculate that it takes approximately 5.5 hours for light to travel from the Sun to Pluto

5.9 billion km ÷ 299,792 km/s

=> 19710 seconds

=> 5.5 hours.

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A 10,000 litres of kerosene tank is to be emptied using a pump. The density of oil is rho=0.75 kg/ litre. If the pump takes 45 minutes to fully empty the tank, what is the mass flow rate of the pump? 222.2 LPM 13.3 m3/h 2.8 kg/s 3.7 L/s

Answers

The mass flow rate of the pump is 2.8 kg/s.

Given the density of the oil (kerosene) to be ρ= 0.75 kg/L

The volume of oil is equal to 10,000 L1 L = 0.001 m³Volume of oil = 10,000 × 0.001 = 10 m³Density of oil = mass/volume ⇒ mass = density × volume

Let m be the mass of oil.

m = ρV = 0.75 × 10 = 7.5 kg

The time taken to empty the tank is 45 minutes. 1 minute = 60 seconds

The time taken is t = 45 × 60 = 2,700 seconds.

Let the mass flow rate be m′. The mass flow rate is defined as the mass of fluid flowing per unit time.m′ = m/t = 7.5/2,700 kg/s= 0.00278 kg/s

Therefore, the mass flow rate of the pump is 2.8 kg/s.

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What is the formula used to calculate density?

What is the formula used to calculate density?

Answers

Density= mass/ volume

\(\Large \boxed{\displaystyle density \ (kgm^{-3})=\frac{mass\ (kg)}{volume \ (m^3)} }\)

Three balls are used to model the Sun-Earth-Moon system. Which statement describes a benefit of this model?

Answers

Options are not given in the question, so the complete question is as follows:

Three balls are used to model the Sun-Earth-Moon system. Which statement

describes the benefit of this model?

A. The model shows only how eclipses happen.

B. It shows information about a system too large to be studied easily.

C. It shows information about a system too fast to be studied  directly

D. The model can be used for the entire solar system.

Answer:

B. It shows information about a system too large to be studied easily.

Explanation:

The use of balls in the model makes it easy to understand the large solar system.

The solar system is comprised of the sun, moon, planets, and other celestial bodies. The model using three balls makes it easy to understand a large system. Using these balls many things about the solar system can be learned such as the position of the Sun-Earth-Moon, the phenomenon of rotation and revolution, and eclipses.

So, the given models show that a large solar system can be studied easily.

Hence, the correct option is "B".

Answer:

B. It shows information about a system too large to be studied easily.

Explanation:

A 40,000 kg locomotive is moving at a velocity of 11 m/s east. What is the magnitude of the locomotive's momentum? A. 440,000 kg m/s B. 480,000 kg m/s C. 3,636 kg m/s D. 495,000 kg m/s

Answers

Momentum=mass*velocity=40,000*11=440,000 kg m/s. A

Momentum=mass*velocity=40,000*11=440,000 kg m/s.

What is Momentum?

The word "momentum" is frequently used in sports. A squad that is moving forward and has momentum will be difficult to stop. A team that is genuinely moving forward and gaining momentum will be challenging to stop.

A physics phrase, momentum describes the amount of motion that an item has. The momentum belongs to a sports team that is actively playing. An object has momentum if it is moving or in motion.

The definition of momentum is "mass in motion." Since every item has mass, if it is moving, it must have momentum because its mass is in motion.

Therefore, Momentum=mass*velocity=40,000*11=440,000 kg m/s.

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What is the acceleration of the object? What is the acceleration of the object?

in m/s2

What is the acceleration of the object? What is the acceleration of the object?in m/s2

Answers

Answer:

-2.5 m/s^2

Explanation:

v=u + at

or, a=(v-u)/t = (10-40)/12=-30/12=-2.5 m/s^2

Here, '-' indicates deceleration is occurring as the velocity is dropping with time.

Hope, this helps you.

Answer:

-2.5 m/s^2

Explanation:

more easyer

what does a pair of shoes weigh on mars?

Answers

Answer:

0.76 lbs (if shoes 2lbs)

Explanation:

Gravity on Mars is only ~38% as strong as it is on Earth, so objects would only weigh ~38% of their Earth weight.

what do you notice about gravity in space?

Answers

Answer:

gravity is everywhere in space and objects in space are always falling: towards the earth, towards the sun, and towards the galactic center

Explanation:

"Please include all relevant working out as detailed as possible
and all relevant diagram to find the answer. Much appreciated! I
will upvote! Thank you so much"
Find total response of the system (transient+steady state). Do not solve for coefficients. Determine the frequency of applied force at which resonance will occur? M = 20 kg F, = 90 N Given: -6 rad/s M

Answers

Given the following information:Mass of the system, m = 20 kg.Damping coefficient, b = 6 Ns/m.Force, F = 90 N.Frequency of applied force, f = ?Applied force angular frequency, w = 6 rad/s.Forced vibration equation:F(t) = F0 sin(wt)where F0 = 90 N and w = 6 rad/s.Under the action of the force F, the mass m will oscillate.The equation of motion for the mass-spring-damper system is given by:$$\mathrm{m\frac{d^{2}x}{dt^{2}}} + \mathrm{b\frac{dx}{dt}} + \mathrm{kx = F_{0}sin(\omega t)}$$where k is the spring constant.x(0) = 0 and x'(0) = 0.As we have the damping coefficient (b), we can calculate the damping ratio (ζ) and natural frequency (ωn) of the system.Damping ratio:$$\mathrm{\zeta = \frac{b}{2\sqrt{km}}}$$where k is the spring constant and m is the mass of the system.Natural frequency:$$\mathrm{\omega_{n} = \sqrt{\frac{k}{m}}}$$where k is the spring constant and m is the mass of the system.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$At resonance, the amplitude of the system will be maximum when forced by a sinusoidal force of frequency equal to the resonant frequency.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$$$\mathrm{\omega_{d} = \sqrt{(6.57)^{2}-(-2.88)^{2}} = 6.98 rad/s}$$Hence, the frequency of applied force at which resonance will occur is 6.98 rad/s.

The frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.

To determine the frequency of the applied force at which resonance will occur, resonance happens when the frequency of the applied force matches the natural frequency of the system. The natural frequency can be determined using the formula:

ωn = √(K / M),

where ωn is the natural frequency, K is the spring constant, and M is the mass of the system.

Substituting the given values of K = 400 N/m and M = 20 kg into the equation, we can calculate the natural frequency ωn.

ωn = √(400 N/m / 20 kg) = √(20 rad/s²) = 2√5 rad/s.

Therefore, the frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.

The correct question is given as,

M= 20kg

Fo = 90 N

ω = 6 rad/s

K = 400 N/m

C = 125 Ns/m

Determine the frequency of applied force at which resonance will occur?

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Felix made a chart listing the uses for two types of mirrors. A 2 column by 2 row table. Column 1 is titled X and contains the following entries: Used as side view mirrors on cars, Used to help people see traffic around blind corners. Column 2 is titled Y and contains the following entries: Used in dental instruments, Used in telescopes to produce enlarged images Which headings belong in the chart? X: Plane Y: Convex X: Concave Y: Plane X: Convex Y: Concave X: Convex Y: Plane.

Answers

Answer:It will be larger and uprightIt will be larger and uprightupright ,,

Explanation:The image shows that the object (in this case it's candle) is in between the focal point and the mirror itself. In this case the one ray which is parallel to the mirror axis will pass through the focal point where as the second ray will first pass through the focal point and then touches the tip of the candle. If we extend the two rays behind the mirror, we will get the larger and upright image behind the mirror (as shown in the image attached with this post). Hence correct option is (C): It will be larger and upright.


Answer:

X: convex Y: Concave

Explanation:

Just got it right

Point charges of q1= 4.00 and q2=2.00 are placed 0.5 m apart. where can a third charge be placed so that the net force on it is zero?

Answers

d = -1 m

The negative sign indicates that the charge from that force of the space of the two spheres.

What is charge ?

When charged matter is exposed to an electromagnetic field, its electric charge—a property of matter—causes it to feel a force. An electric charge can be either positive or negative (commonly carried by protons and electrons respectively). Like and unlike charges are attracted to one another while being repelled by the other. Neutral describes a thing without any net charge. Classical electrodynamics, a term coined to describe early understanding of the interactions of charged particles, is still applicable to issues that do not demand for taking quantum effects into account.

The net charge, or the total of the positive and negative charges, is constant in an isolated system because electric charge is a conserved attribute. Electrical charge is transported by subatomic particles.

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What causes comets to move through the solar system?.

Answers

I study in astronymy in College I had a question like this.

Long-period comets are set in motion towards the Sun from the Oort cloud by gravitational perturbations caused by passing stars and the galactic tide. Hyperbolic comets may pass once through the inner Solar System before being flung to interstellar space. The appearance of a comet is called an apparition.

Compared to Earth's moon, the moons of Mars are

equal in size.
larger in size.
made of different substances.
smaller in size.

Answers

I think is b I think

Mrs. James mixes tomatoes, bananas, and garden rocks together. She has made a:

Answers

natural salad.

Line-wise Answer-

Mrs. James mixes tomatoes, bananas, and garden rocks together. She has made a natural salad.

Hope it helps you...

Benjemin

If the acceleration is 600m/s/s and the mass is 300kg, calculate the for the force

Answers

Answer:

180000N

Explanation:

Given parameters:

Acceleration  = 600m/s²

Mass  = 300kg

Unknown:

Force  = ?

Solution:

From Newton's second law of motion;

    Force  = mass x acceleration

Force  = 300 x 600 = 180000N

Matter is defined as anything that has weight and takes up space.

Answers

Answer:

true matter takes up space and is anything that is around us

A +13 nC charge is located at the origin.
A)What is the electric field at the position (x1,y1)=(5.0 cm, 0 cm)? Write electric field vector in component form.Enter the x and y components of the electric field separated by a comma. B)What is the electric field at the position (x2,y2)=(-5.0 cm, 5.0 cm)? Write electric field vector in component form.Enter the x and y components of the electric field separated by a comma.

Answers

Therefore, the electric field at the position (5.0 cm, 0 cm) is 1.144 N/C in the x-direction and the electric field at the position (-5.0 cm, 5.0 cm) is 0.468 N/C in both x and y directions.

A +13 nC charge is located at the origin. The expression to find the electric field at a given position is

E=KQ / r²,

where K is Coulomb's constant, Q is the charge and r is the distance between the charge and the point where we want to find the electric field.

So, A) The position at which electric field is to be calculated is

(x1,y1)= (5.0 cm, 0 cm).

Hence, distance

r = \(\sqrt{((5.0 cm)^{2} + (0 cm)^{2})}\)

= 5.0 cm (as the point lies on x-axis).

Now, Electric field vector E = KQ / r²

= \(9 *10^{9} N.m² / C² * 13 * 10{-9}C / (5.0 * 10{-2} m)^{2}\)

= 1.144 N/C

In component form, E = Exi + Eyj, where i and j are the unit vectors in the x and y directions respectively.

Therefore, E = Exi

= 1.144 N/C (as the electric field is only in the x-direction and there is no component of electric field in the y-direction)Hence, the main answer is: 1.144, 0

Electric field vector E = KQ / r²

= \(9 *10^{9} N.m² / C² * 13 * 10{-9}C / (5.0 * 10{-2} m)^{2}\)

= 1.144 N/C

In component form, E = Exi + Eyj, where i and j are the unit vectors in the x and y directions respectively. Therefore,

E = Exi = 1.144 N/C (as the electric field is only in the x-direction and there is no component of electric field in the y-direction)B) The position at which electric field is to be calculated is (x2,y2)=(-5.0 cm, 5.0 cm).

Hence, distance

r = \(\sqrt{((-5.0 cm)^{2}+ (5.0 cm)^{2})}

= 7.07 cm.

Now, Electric field vector

E = KQ / r²

= \(9 *10^{9} N.m² / C² * 13 * 10{-9}C / (7.07 * 10{-2} m)^{2}\)

= 0.659 N/C

In component form, E = Exi + Eyj, where i and j are the unit vectors in the x and y directions respectively.

Therefore, E = 0.468i + 0.468j (as the electric field makes an angle of 45° with both the x-axis and y-axis) answer is: 0.468

Therefore, the electric field at the position (5.0 cm, 0 cm) is 1.144 N/C in the x-direction and the electric field at the position (-5.0 cm, 5.0 cm) is 0.468 N/C in both x and y directions.

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what should we do to be a computer engineer ‍ ‍?​

Answers

Answer:

to be an eginere u would have to go to college and study hard

Explanation:

study and go to university/college

A 5kg object with a velocity of 6m/s strikes a motionless ball. the object stops moving as a result of the collision. what is the velocity of the ball after the collision?

Answers

mU1 + mU2 = mV1 + mV2

(5 × 6) + (3 × 4) = 5V + 3V

30 + 12 = 8V

42 = 8V

V = 5.25m/s

The velocity of the ball after the collision is 5.25m/s.

What is velocity ?

While velocity refers to the speed and direction of an object's motion, speed is the rate at which an object moves along a path over time.

The rate at which something moves in a certain direction is referred to as its velocity. as quickly as a car traveling north on a highway or a rocket taking flight. The magnitude of the velocity vector's absolute value will always be equal to the motion's speed because it is a scalar.

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which phrase describes what a scientist does? A.Tells People how they should behave B .Answers ethical questions C. Ask questions about the world D. Determines right from wrong

Answers

Answer:

C. Ask questions about the world

Explanation:

A scientist is a person who conducts scientific research and provide scientific proves on the area of their interest such as physica, chemistry, biology or history.

A scientist gives the answers of the question about the world based on their scietifc research such as how does plant breath? effects of global warming on earth? what if we don't drink water for a particular time period? et-cetera.

Hence, the correct option is "C. Ask questions about the world".

what is one physical force that can change an object from one phase to the next

Answers

One physical force that can change an object from one phase to the next is temperature. The phase of matter is determined by the arrangement and movement of its particles. As temperature changes, the average kinetic energy of the particles also changes, causing them to move faster or slower.

This change in movement can lead to a change in the arrangement of particles, which ultimately changes the phase of the matter.
For example, if a solid is heated, the particles gain energy and vibrate faster, causing the bonds between particles to weaken. Eventually, the bonds break, and the particles are able to move freely, resulting in a liquid phase. Similarly, if a liquid is cooled, the particles lose energy and move slower, causing the bonds between particles to strengthen. Eventually, the particles will become fixed in a rigid pattern, resulting in a solid phase.

Therefore, temperature can act as a physical force to change the phase of matter, and it is a fundamental concept in the study of thermodynamics and phase transitions.

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let l be a linear map from a vector space v to a vector space w . prove that the kernel (also known as the null space) of l is a subspace of v .

Answers

The kernel (null space) of a linear map L from a vector space V to a vector space W is a subspace of V.

To prove that the kernel (null space) of a linear map L from a vector space V to a vector space W is a subspace of V, we need to show three things: closure under vector addition, closure under scalar multiplication, and the presence of the zero vector.

1. Closure under vector addition:

Let u and v be vectors in the kernel of L, denoted as u, v ∈ ker(L). This means L(u) = 0 (the zero vector in W) and L(v) = 0. We want to show that u + v is also in the kernel of L.

Using the linearity of L, we have:

L(u + v) = L(u) + L(v) = 0 + 0 = 0

This shows that u + v is mapped to the zero vector by L, thus u + v is in the kernel of L.

2. Closure under scalar multiplication:

Let u be a vector in the kernel of L, denoted as u ∈ ker(L). This means L(u) = 0. We want to show that αu is also in the kernel of L for any scalar α.

Using the linearity of L, we have:

L(αu) = αL(u) = α0 = 0

This shows that αu is mapped to the zero vector by L, thus αu is in the kernel of L.

3. Presence of the zero vector:

The zero vector in V, denoted as 0v, is always in the kernel of any linear map because L(0v) = 0 in the codomain W.

Therefore, we have shown that the kernel of L satisfies the three conditions to be a subspace of V: closure under vector addition, closure under scalar multiplication, and the presence of the zero vector. Hence, the kernel of L is indeed a subspace of V.

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If a sled has a mass of 4kg what is the force of gravity on the sled?

Answers

Answer:

Explanation:

Gravity pulls everything down at the same rate of 9.8 m/s/s. If you're looking for the normal force, which is the same as the weight of the object, we'll find that, just in case.

w = mg which says that the normal force/weight of an object is equal to its mass times the pull of gravity:

w = 4.0(9.8) so

w = 39N

IS
Find the components to write this
vector in unit vector notation:
BR
12.0
45.0⁰
B = [? ]î+ [? ]

ISFind the components to write thisvector in unit vector notation:BR12.045.0B = [? ]+ [? ]

Answers

The vector BR in unit vector notation is:

BR = 8.485 î + 8.485 j

What is Vector?

Vectors can be added together to find the result, which is known as the vector sum. The vector sum can be found using the head-to-tail method, where the tail of one vector is placed at the head of the other vector. The vector sum is the vector that goes from the tail of the first vector to the head of the second vector.

To write the vector BR in unit vector notation, we need to find its components in the i and j directions.

Given that the magnitude of the vector is 12.0 and it makes an angle of 45 degrees with the positive x-axis, we can use trigonometry to find the components.

The x-component (i-direction) of the vector is given by:

Bx = B cos θ = 12.0 cos 45° = 8.485

The y-component (j-direction) of the vector is given by:

By = B sin θ = 12.0 sin 45° = 8.485

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The watermark can be of different types depending on the application. A watermark will resist manipulations of the media. However, a watermark will not resist tampering.

Answers

The first blank is robust watermark; a robust watermark will not resist tampering.

The second blank is fragile watermark; a fragile watermark will resist manipulations of the media.

What is a watermark?

A watermark is a faint design made in paper during manufacture that is visible when held against the light and clearly identifies the maker.

The watermark can be of different types depending on the application and they include:

A robust watermark will not resist tampering.A fragile watermark will resist manipulations of the media.

Thus, The first blank is robust watermark; a robust watermark will not resist tampering.

The second blank is fragile watermark; a fragile watermark will resist manipulations of the media.

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The watermark can be of different types depending on the application. A watermark will resist manipulations
Other Questions
Suppose that the index model for stocks A and B is estimated from excess returns with the following results:RA = 4.5% + 1.40RM + eARB = 2.2% + 1.70RM + eBM = 24%; R-squareA = 0.30; R-squareB = 0.20Assume you create a portfolio Q, with investment proportions of 0.50 in a risky portfolio P, 0.30 in the market index, and 0.20 in T-bill. Portfolio P is composed of 60% Stock A and 40% Stock B.a. What is the standard deviation of portfolio Q? (Calculate using numbers in decimal form, not percentages. Do not round intermediate calculations. Round your answer to 2 decimal places.)Standard deviationb. What is the beta of portfolio Q? (Do not round intermediate calculations. Round your answer to 2 decimal places.) PLEASE HELP ME NOW!!!!!!!!!!Match the vocabulary word to its meaning! A small town has two local high schools. High School A currently has 850 students and is projected to grow by 75 students each year. High School B currently has 1000 students and is projected to grow by 65 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine which high school is projected to have more students in 11 years. Which of the following is NOT one of the assumptions of the z-test?A) The dependent variable is a ratio or interval scale measurement.B) The sample is selected for a specific reason, from a specific group.C) We know the population mean and standard deviation for the population.D) The dependent variable is approximately normally distributed in the population In January, a bookstore sells 450 books, but in February, it sells only 300 books. What is the percent of change from January to February?66.7%-50%-33.3%50% Specific gravity will tell you a fraction of how muchobject will be below the water while its floating. Forinstance, ice has density of 0.92 g/ml so its specific gravity0.92, what does 0.92 indicate? Someone please help meee What is the measure of the vertex angle of an isosceles triangle?. what are the main symptoms of schizophrenia A puck is sliding on the ice with 25 J of kinetic energy. After 3 seconds, the puck comes to a stop and has no more kinetic energy. Find the work done on the puck. Feelings of accomplishment, personal growth, and self-worth are examples of ________ rewards.Select one:a. transactionalb. extrinsicc. intrinsicd. subjectivee. objective 2 Aggregate production strategies are part of your _______________ planning.a. Long rangeb. Short rangec. Intermediate range The nth term of a sequence is 45 - 4nWork out the first three terms. Penelope wants to know how many tiles will be in Figure 50. How can you determine this? Write out in words what you would need to do with your rule to answer her question. Penelopes question: How many tiles will be in Figure 50? What is the primary reason an icy moon is likely to be more geologically active than a rocky moon of the same size What is the area of a circle with radius 10 inches? Give me a specific example of a good leader and what makes them good leaders: What two types of climate does most of Africa south of the Saharahave? Hello,Can you please help with the problem step by step also withsome side notes?Thank you1) Determine whether the series is absolutely convergent, conditionally 00 convergent or divergent: (-1)+2 (n + 1)2 n=1 the journal entry to record $4,500 cash received for $5,500 services performed would include aa.credit to accounts receivable for $1,000.b.credit to fees earned for $5,500.c.credit to cash for $4,500.d.credit to accounts receivable for $4,500.