The current in a 90.0-mH inductor changes with time as I=1.00 t²-6.00 t , where I is in amperes and t is in seconds. Find the magnitude of the induced emf at (b) t=4.00 \mathrm{~s} .

Answers

Answer 1

The magnitude of induced EMF at t = 4.00 s is 0.18 V.We have been given the current in an inductor as I = 1.00t² - 6.00t, where I is in amperes and t is in seconds and the inductance of the inductor as 90.0 mH = 90.0 × 10⁻³ H.

Given,

Current, I = 1.00t² - 6.00t,

Inductance, L = 90.0 mH = 90.0 × 10⁻³ H

We know that, Induced EMF, ε = - L × dI/dt

Here, we need to find the magnitude of induced EMF at t = 4.00 s.

ε = - 90.0 × 10⁻³ × dI/dt

We know that, dI/dt = 2.00t - 6.00

Put t = 4.00 in above equation, we get

dI/dt = 2.00(4.00) - 6.00

= 2.00 A/s

∴ ε = - 90.0 × 10⁻³ × 2.00

= - 0.18 V.

We need to find the magnitude of induced EMF at t = 4.00 s.

Induced EMF is given by ε = - L × dI/dt, where L is the inductance and dI/dt is the rate of change of current with respect to time.

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Related Questions

The device shows that in one week the total cost of the electrical energy used by the kettle is 97 p. 1kw h of electrical energy costs 17 p. calculate the length of time for which the kettle has been switched on during the weekthe device shows that in one week the total cost of the electrical energy used by the kettle is 97 p. 1kw h of electrical energy costs 17 p. calculate the length of time for which the kettle has been switched on during the weekthe device shows that in one week the total cost of the electrical energy used by the kettle is 97 p. 1kw h of electrical energy costs 17 p. calculate the length of time for which the kettle has been switched on during the weekthe device shows that in one week the total cost of the electrical energy used by the kettle is 97 p. 1kw h of electrical energy costs 17 p. calculate the length of time for which the kettle has been switched on during the weekthe device shows that in one week the total cost of the electrical energy used by the kettle is 97 p. 1kw h of electrical energy costs 17 p. calculate the length of time for which the kettle has been switched on during the week

Answers

So, the length of time for which the kettle has been switched on during the week is 5.71 hours.

Given that,

Total cost of electrical energy used by kettle in one week = 97p

Cost of 1 kWh electrical energy = 17p

To calculate the length of time for which the kettle has been switched on during the week, we can use the formula as follows;

Total cost of electrical energy = Power × Time × Cost of 1 kWh electrical energy

Let us consider Power of kettle is P.

Now,

Total cost of electrical energy used by kettle in one week = Power × Time × Cost of 1 kWh

electrical energy

97p = P × Time × 17p1kWh ⇒

Time = 97/17

time ≈ 5.71 hours

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How long does it take our solar system to complete one orbit around the milky way galaxy? a. 10 thousand years b. 230 thousand years c. 1 million years d. 100 million years e. 230 million years

Answers

It takes our Solar system 230 million years to complete one orbit around the milky way galaxy; option E.

What is the solar system?

The solar system refers to the system of the Sun and the planets that orbit it.

The Sun is the star of our solar system. The planets in our system include:

MercuryVenusEarthMars,JupiterSaturnUranusNeptune

Our solar system is a part of the Milky Way Galaxy.

It takes about 230 million years for our Solar system to complete one orbit around the Milky Way Galaxy.

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11. What kind of force did the levitating rings display? What does this say
about the magnetic domains of these objects? Record your evidence.

Answers

answer :

force is called the magnetic force of repulsion, and it happens when two magnets have the same poles (either both north or both south) and they push away from each other.

When all the domains in a material are aligned in the same direction, the material becomes strongly magnetized.

explanation :

magnetic domains in the rings were stable and strong enough to resist the force of gravity.

In the case of the levitating rings, the magnetic domains were aligned in such a way that they created a strong magnetic field, which allowed the rings to levitate in mid-air.

tiny regions within ferro magnetic  material that have their own magnetic fields are called magnetic domains.

Magnetic domains in the rings refer to the tiny regions within the ring's ferro magnetic material that have their own magnetic fields.

To apply Ampère's law to find the magnetic field inside an infinite solenoid. In this problem we will apply Ampère's law, written ∮B⃗ (r⃗ )⋅dl⃗ =μ0Iencl, to calculate the magnetic field inside a very long solenoid (only a relatively short segment of the solenoid is shown in the pictures). The segment of the solenoid shown in (Figure 1) has length L, diameter D, and n turns per unit length with each carrying current I. It is usual to assume that the component of the current along the z axis is negligible. (This may be assured by winding two layers of closely spaced wires that spiral in opposite directions.) From symmetry considerations it is possible to show that far from the ends of the solenoid, the magnetic field is axial. find bin , the z component of the magnetic field inside the solenoid where ampère's law applies. express your answer in terms of l , d , n , i , and physical constants such as μ0 .

Answers

The solenoid's axis, which is also the direction in which current flows, determines the direction of the magnetic field. As a result, Bz=0nI/2l represents the magnetic field's z component inside the solenoid.

What is the Ampere law and how is it used?

The combined magnetic field that surrounds a closed loop and the electric current flowing through it are related in accordance with the Ampere Circuital Law. An infinitely long straight wire will produce a magnetic field that is inversely proportional to the wire's radius and directly proportional to the current.

The integral of B ⋅dl around the path is equal to the product of the magnetic field B and the circumference of the path, which is 2l. Thus,

B ⋅2l=μ0nI,

where n is the number of turns per unit length of the solenoid, and I is the current flowing through each turn. Solving for B gives

B =μ0nI/2l.

The direction of the magnetic field is along the axis of the solenoid, which is also the direction of the current flow. Thus, the z component of the magnetic field inside the solenoid is

Bz=μ0nI/2l.

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What kinds of bonds make up a formula unit of sodium chloride?

a.

Ionic bonds

b.

Covalent bonds

c.

1 ionic bond and 1 covalent bond

d.

Van der Waals forces

Answers

Answer:

a.ionic bond is kinds of bonds make up a formula unit of sodium chloride.

Answer:

A

Explanation:

Please explain.
How can you determine if a material is a conductor or an insulator?

Answers

Current is the name for the movement of electricity. Metals are often excellent conductors, allowing electricity to flow smoothly. Insulators are substances that make it difficult for electricity to pass through them.

How is a substance classified as an insulator?

Insulators are substances that affect the flow of electrons in exactly the opposite way from conductors. They restrict the ease with which electrons can move between atoms.  These electrons cannot be free to move and cannot be shared by nearby atoms.

There must be no energy gap between a material's valence band and conduction band for it to conduct electrical current. As a result, these bands overlap in conductors, enabling electrons to pass through.

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can someone explain and solve in detail? I really don't get it.

A baseball player hits a 0.155-kilogram fastball traveling at 44.0 m/s into center field at a speed of 500 m/s. If the impact lasts for 0.00450 second, with what force does he hit the baseball? (Hint: Momentum is a vector)​

Answers

Answer:

15706.666

Explanation:

F = 0.155(500-(+44))/0.00450

Hey solution that contains all of the salute it can normally hold at a given temperature is

Answers

Answer:

A saturated solution

Explanation:

A saturated solution is one that contains the most amount of solute that can be dissolved in it at a given temperature

An example of a saturated solution is carbonated water, which readily gives off bubbles of carbon dioxide gas from areas within the solution to the region above the top surface of the gas in liquid solution

A saturation solution of salt in water can be created by continuing to dissolve salt in a given amount of water until it can no longer dissolve any more salt. However, heating the saturated salt solution, increases the amount of salt that can be dissolved.

Therefore, a solution that contains all of the solute it can normally hold at a given temperature is a saturated solution

What factors affect an objects kinetic energy?

Answers

Answer:

friction

air drag

every thing that opposes the motion affects kinetic energy

Explanation:

kinetic energy is a energy which is increase with increase in motion and potential energy is energy stored while the object is at rest

potential energy ∝ 1/(kinetic energy)

as kinetic energy increases potential energy decreases

Hypochondriacs seek out medical care in order to verify that they do not have an illness.
Please select the best answer from the choices provided
T
F

Answers

Answer:

False

Explanation:

Just took the test

False, because hypochondriacs think they have a significant, undetected medical ailment even when testing reveal they are healthy.

Who are hypochondriacs?

A hypochondriac is someone who, despite diagnostic testing showing they have no health issues, lives in constant anxiety that they have a terrible, undetected medical illness. They are obsessed with the concept that they suffer from a major illness that has gone untreated.

In adults, hypochondriasis often begins to manifest. Among the symptoms are a persistent, strong anxiety of developing a major illness and concern that seemingly little symptoms portend a larger problem. A patient may change physicians or see them regularly.

Medication and counselling could be helpful.

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a small 1.25 kg ball on the end of a light rod is rotated in a horizontal circle of radius 1.2 m. calculate: (a) the moment of inertia of the system baout the axis of rotation, and (b) the torque neededt ot keep the ball rotating at constant angular velocity if air resistance exerts a force of 0.02 n on the ball

Answers

The torque needed to keep the ball rotating at constant angular velocity if air resistance exerts a force of 0.02 N on the ball is 0.024 N.m.

A small 1.25 kg ball on the end of a light rod is rotated in a horizontal circle of radius 1.2 m.

The moment of inertia of the system about the axis of rotation and the torque needed to keep the ball rotating at constant angular velocity if air resistance exerts a force of 0.02 N on the ball can be calculated as follows:

Part (a)The moment of inertia, I of a solid ball is given by I = 2/5mr².

Here, m is the mass of the ball, and r is the radius of the ball.

We have to find the moment of inertia of the system about the axis of rotation.

Since the axis of rotation passes through the center of the ball, the moment of inertia of the ball is given by Iball = 2/5mr².

Thus, the moment of inertia of the system about the axis of rotation is given by I = Iball + mR²I = 2/5mr² + mR²I = m(2/5r² + R²)I = 1.25(2/5(0.06)² + (1.2)²)I = 0.026 kg.m²

Part (b)The torque required to keep the ball rotating at constant angular velocity can be calculated as follows:

τ = Iα

Here, τ is the torque,

I is the moment of inertia of the system, and

α is the angular acceleration.

At constant angular velocity, α = 0.

Since air resistance exerts a force of 0.02 N on the ball, the torque required to keep the ball rotating at constant angular velocity is

τ = Frτ = F × Rτ = 0.02 × 1.2τ = 0.024 N.m

Therefore, the torque needed to keep the ball rotating at constant angular velocity if air resistance exerts a force of 0.02 N on the ball is 0.024 N.m.

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If the force exerted by the intern is doubled and the distance is haived, does the work done by the intern increase, decrease, or remain the same.I want the answer asap

Answers

Answer:

The work remains the same

Please mark as brainliest

how much heat is needed to heat 2 kg of lead from 265K to 315 K 

Answers

Answer:

it takes 64 J of heat energy to heat 2 kg of lead from 265 K to 315 K.

Explanation:

To find out how much heat is needed to heat 2 kg of lead from 265K to 315 K, we can use the formula for specific heat capacity, which is:

q = mcΔT

Where:

q = heat energy (in joules)

m = mass of the substance (in kilograms)

c = specific heat capacity of the substance (in joules per kilogram per degree Celsius)

ΔT = change in temperature (in degrees Celsius)

The specific heat capacity of lead is 0.128 J/g°C. we need to convert it to J/kg°C

So, the heat energy needed is:

q = (2 kg)(0.128 J/kg°C)(315 K - 265 K)

q = (2 kg)(0.128 J/kg°C)(50 K)

q = 64 J

Therefore, it takes 64 J of heat energy to heat 2 kg of lead from 265 K to 315 K.

can you get velocity from speed​

Answers

Answer:

yes

Explanation:

velocity is vector though but speed is scalar

velocity requires direction

so velocity is literally speed with direction

1. A balloon rubbed against denim gains a charge of -8.0 uC. What is the electric
force between the balloon and the denim when the two are separated by a dis-
tance of 5 x 10-2 m?

Answers

Answer:

the ballon is purple

Explanation:

What is the momentum of a 72 kg baseball player who slides into home plate
at 4.9 m/s?
A. 860 kg m/s2
B. 350 kg m/s
C. 68 kg m/s
D. 15 kg/m's
SUBMIT

Answers

Answer:

B) 350 kg m/s

Explanation:

momentum or p is given by the equation p= mxv

We have the mass and velocity so we can use the equation directly

p= 72kg x 4.9 m/s

p= 352.8 kg m/s

Can somebody explain to me what’s 1/d^2 in electric force? And how do I graph it versus a force?

Answers

Answer:

so basically what you gotta do is, and then you can do that but you shouldn't do this

Who is better Godzilla or King Kong

Answers

Answer:

nun

Explanation:

Answer:

Godzilla

Explanation:

An airplane accelerates from a velocity of 25.88 m/s at a constant rate of 4.21 m/s2 over 590.39 m. What is its final velocity?

Answers

The final velocity of the airplane is 75.1 m/s.

What is velocity?

Velocity can be defined as the measurement of rate and direction of motion.

The velocity of a moving object changes with time. Thus, a moving object will have an initial velocity as well as a final velocity.

The formula for final velocity, V is given by the formula below:

v = √(u² + 2as)

where

u = initial velocitya = accelerations = distance or displacement

The values are as follows:

u = 25.88 m/s

a = 4.21 m/s²

s = 590.39 m

Substituting the values

v = √{(25.88)² + 2 * 4.21 * 590.39)}

v = 75.1 m/s

Therefore, the final velocity, v is 75.1 m/s

In conclusion, the final velocity of the airplane is derived from the initial velocity, acceleration, and distance of travel.

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What is the purpose of astronauts exercising while in space?

A.maintain homeostasis of the skeletal system
B.maintain a balanced diet
C.both A and B

Answers

C: both A and B
Hope this helps
C is the right one!!!

Suppose you want to take a chest x-ray with an x-ray source that has a divergence of 5o . if the film is 1 meters from the (point) source, how big is the spot size at the film in centimeters?

Answers

Answer:

               So the distance between film and source is 26.7cm

Explanation:

GIVEN:

The divergence of the source, Ф = 50

the distance between film and source, d = 1m

To FIND:

   The spot size in cm, D = ?

SOLUTION:

                As we know the formula is give as

                              tan Ф/2 = 0.5 x D/d

Now, by putting values,

                tan 50/2 = 0.5 x D/1

               -0.134÷0.5 = D

we get

            D =0.267m

And    D=0.267x10^-2 cm

So       D= 26.7cm

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A proton accelerates from rest in a uniform electric field of 691 N/C. At some time later, it’s speed is 2. 30 x 10^6 m/s. (a) What is the magnitude of its acceleration? (b) How long does it take the proton to reach this speed

(c) How far has it moved in this time interval?

(d) What is its kinetic energy at the later time?

Mass of proton: 1. 6726x10^-27

Fundamental charge:

1. 602 x10^-19

Answers

The proton experiences an acceleration of \($6.60\times10^{10} \text{m/s}^2$\) in a uniform electric field of 691 N/C, and it takes \($3.48\times10^{-5}$\) s to reach a velocity of \($2.30\times10^{6}$\) m/s. During this time, the proton travels a distance of \($4.36\times10^{-10}$\) m and has a kinetic energy of \($3.07\times10^{-12}$\) J.

(a) The magnitude of the acceleration experienced by the proton can be determined by using the equation for the force on a charged particle in an electric field, which is F = qE, where F is the force, q is the charge of the particle, and E is the electric field strength. For a proton, the charge is equal to the fundamental charge, which is \($1.602\times10^{-19} \text{C}$\). Therefore, the force on the proton is \($F = (1.602\times10^{-19} \text{C})(691 \text{N/C}) = 1.106\times10^{-16} \text{N}$\)

The acceleration of the proton can be determined using the equation F = ma, where m is the mass of the proton. Thus, \($a = F/m = \dfrac{1.106\times10^{-16} \text{N}}{1.6726\times10^{-27} \text{kg}} = 6.60\times10^{10} \text{m/s}^2$\).

(b) To find the time it takes for the proton to reach the given speed, we can use the kinematic equation v = u + at, where u is the initial velocity (which is 0 m/s), v is the final velocity (\($2.30\times10^{6} \text{m/s}$\)), a is the acceleration (\($6.60\times10^{10} \text{m/s}^2$\)), and t is the time. Rearranging this equation gives \($t = \dfrac{v-u}{a} = \dfrac{2.30\times10^{6} \text{m/s}}{6.60\times10^{10} \text{m/s}^2} = 3.48\times10^{-5} \text{s}$\).

(c) The distance the proton has moved in this time interval can be calculated using the kinematic equation \($s = ut + \dfrac{1}{2}at^2$\), where s is the distance traveled. Substituting the known values, we get \($s = \dfrac{1}{2}(6.60\times10^{10} \text{m/s}^2)(3.48\times10^{-5} \text{s})^2 = 4.36\times10^{-10} \text{m}$\)

(d) The kinetic energy of the proton can be calculated using the equation \($KE = \dfrac{1}{2}mv^2$\), where KE is the kinetic energy, m is the mass of the proton, and v is the velocity of the proton. Substituting the known values, we get \($KE = \dfrac{1}{2}(1.6726\times10^{-27} \text{kg})(2.30\times10^{6} \text{m/s})^2 = 3.07\times10^{-12} \text{J}$\).

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What is the acceleration of the object in the graph?

What is the acceleration of the object in the graph?

Answers

Answer:

jus did this, the answer is A, -0.8 m/s^2 :)

Explanation:

An object with a mass of 10kg accelerates 16 m/s2 when an unknown force is
applied to it. What is the amount of force?
160 N
9.8 m/s2
165.8 kg
1.6 N

Answers

Answer:

The answer is 160 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 10 × 16

We have the final answer as

160 N

Hope this helps you

Question 9 (28 points)
The earth's gravity keeps the moon in orbit by pulling on it. The moon's gravity
A. can only pull on smaller objects such as asteroids but has no effect on the earth
B. pulls back on the earth
C. pushes the moon away from the earth
D. doesn't affect anything

Answers

Im sure the answer is letter B

The moon's gravity  pulls back on the earth. (B)

The two pulls are EQUAL.

Gravity always produces a pair (2) of equal forces in opposite directions.  For example, your weight on the Earth is equal to the Earth's weight on you !

Reflecting telescopes use mirrors to bring light to a focus. All large telescopes are reflectors because_____

Answers

All large telescopes are reflectors since they offer these benefits and are better suited for large telescopes.

Specifically: It is feasible to manufacture telescopes with wider apertures (larger diameter mirrors), which can collect more light and provide higher resolution images, because mirrors can be produced larger than lenses without sagging under their own weight.

Thin metal sheets can be applied to mirrors to improve reflectivity and decrease light loss.

Mirrors can be supported from the back, which increases their rigidity and solves the lens flexure issues that plague refracting telescopes.

Although producing huge lenses to exact specs is more expensive and complex than producing large mirrors, reflectors are typically less expensive to produce than refractors.

Hence, all large telescopes are reflectors since they offer these benefits and are better suited for large telescopes.

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If an object is thrown down with force from the top of a building, at a speed of 20.0 m/s, and it hits the ground with
a speed of 40.0 m/s.

Answers

what is the question lol

When the pressure is 1.00 atm What is the volume of the gas?

Answers

The required volume of the gas is 0.52 L.

What is relation between pressure and volume of the gas?

Diminishing the volume of a contained gas will expand its tension, and expanding its volume will diminish its strain. As a matter of fact, on the off chance that the volume increments by a specific variable, the tension declines by a similar element, as well as the other way around.

According to question:

V1 = 1.56 L, P1 = 1 atm, P2 = 3 atm,

To find: V2 of gas

So, P1V1 = P2V2

V2 = P1V1/P2

V2 = 1.56(1)/3 = 0.52 L

Thus, required volume of gas is 0.52L

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Correct question:

A gas occupies 1.56 l at 1.00 ATM what will be the volume of this gas if the pressure becomes 3.00 ATM

A spinning flat disc has a Period of 2 seconds. What is the frequency of the object?

Answers

The frequency of the spinning flat disc can be calculated by taking the reciprocal of its period. In this case, since the period is 2 seconds, the frequency of the disc is 0.5 Hz.

Frequency is a measure of how many cycles or oscillations occur in a given time period. It is defined as the reciprocal of the period, which is the time taken to complete one cycle.

In this case, the period of the spinning flat disc is given as 2 seconds. To find the frequency, we can take the reciprocal of the period, which means dividing 1 by the period.

Therefore, the frequency (f) of the disc can be calculated as:

f = 1 / T

Where T is the period of the disc.

Substituting the given period of 2 seconds into the formula, we have:

f = 1 / 2

Simplifying the expression, we find:

f = 0.5 Hz

Hence, the frequency of the spinning flat disc is 0.5 Hz, indicating that it completes 0.5 cycles or oscillations per second.

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ultraviolet radiation falls in the wavelength region of to meters. what is the energy of ultraviolet radiation that has a wavelength of m? energy

Answers

the energy of ultraviolet radiation that has a wavelength is 6.95*\(10^{-19}\) kj/photon

calculation :

1.E =hc/λ

λ = hc/E

 = \(\frac{6.6626*10^{-34}*3*10^{8} }{1.99*10^{-19} }\)

 = \(1.0*10^{-8}m\)

2 . E =hc/λ

    λ = hc/E

       =  \(\frac{6.6626*10^{-34}*3*10^{8} }{3.97*10^{-19} }\)

      = 501 nm

3 . λ = 286 nm

     E =hc/λ

        =   \(\frac{6.6626*10^{-34}*3*10^{8} }{286}\)

        =  6.95*\(10^{-19}\) kj/photon

In physics, energy is the quantitative property transmitted to the body or physical system, perceived in the performance of work and in the form of heat and light. Energy is Conserved - The law of conservation of energy states that energy can be transformed into form, but cannot be created or destroyed. The unit of measure for energy in the International System of Units (SI) is the joule (J).

Common forms of energy include the kinetic energy of moving bodies, the potential energy stored in bodies (due to their position in the field, etc.), the elastic energy stored in fixed bodies, the chemical energy associated with chemical reactions, Radiant energy carried by electromagnetic radiation and internal energy contained in thermodynamic systems. All living things absorb and emit energy all the time.

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Other Questions
The subduction of the Farallon Plate beneath the North American Plate led to the formation of most of the features of California's Central Valley. Identify these map regions on the map below. a bolted joint with a joint coefficient ofo,42 experiences an alternating extemal tensile load between o anc! 15 kn. the boit is initia=y peioded to 25 kn. what is most near the maximum boit load?a. 5.0 kN/mmb. 11 kN/mmc. 12 kN/mmd. 15kN/mm Which of the following statements is CORRECT?a. The New York Stock Exchange is an auction market, and it has a physical location.b. Home mortgage loans are traded in the money market.c. If an investor sells shares of stock through a broker, then it would be a primary market transaction.d. While the distinctions are blurring, investment banks generally specialize in lending money, whereas commercial banks generally help companies raise capital from other parties.e. Money markets deal with common stocks and other equity securities. Becky made a $30,000 investment in year 1, received a $10,000 return in year 2, $8,000 in year 3, $11,000 in year 4, and $9,000 in year 5. What was her internal rate of return over the five-year period If the price of flu shots is $10 and 10,000 of them are purchased, how many will consumers buy if the price moves to $20 and elasticity of demand is -0.25? (You may assume constant elasticity of demand.) The path difference between two waves is 5m. if the wavelength of the waves emitted by the two sources is 4m, what is the phase difference (in degrees)? A 205-kg crate is pushed horizontally with a force of 725 N. If the coefficient of friction is 0.20, calculate the acceleration of the crate. if two variables have a positive correlation coefficient, which of the following is true? the values of one variable are independent from the values of the other. larger values of one variable are associated with larger values of the other. smaller values of one variable are not associated with smaller values of the other. larger values of one variable are associated with smaller values of the other. You collect antiques and regularly travel the country looking for good deals. In your wanderings, you find an old fiddle and offer the owner $5. The owner accepts, and you take your treasure home. After you get the fiddle home and do your research on it, you discover the fiddle is actually worth $5,000. What a find! Ensuring that all clients have access to services, resources, and opportunities despite challenges is an example of which ethical principle?a) autonomy b) competency c) non-maleficence d) justice One way that nations can control the value of their currency is through a ___________, in which the value of a currency is determined by the forces of supply and demand. 3. When does Transition Planning for post GIP start?When the patient is admitted at the GIP levelWhen the patients condition starts to improveThe day the patient no longer needs GIP careThe second day of GIP care krit corp. is a u.s. manufacturing company based in the midwest. as an investor, paolo bought 100 shares of stock in krit corp. the stock price of krit corp. is currently trading at $37.50 per share. paolos total wealth in krit corp. is: Verify that the equation is an identity. 2 5) (cos - sin 1- X 2 = 1 - sin x 2 Drag each tile to the correct location.Match each blog post to its purpose.a post discussing a company's valuesa post thanking customers forsupporting a charity fundraisera post announcing the new a post where customers can talkmanagement teamto each otherBuild RelationshipsInternal Communication The three principles that result in high reliability include having a _____ sample, less-variable observations, and many cases. You are looking at a one-year loan of $10,000. The interest rate is quoted as 10 percent plus 4 points. A point on a loan is simply 1 percent (one percentage point) of the loan amount. Quotes similar to this one are common with home mortgages. The interest rate quotation in this example requires the borrower to pay 4 points to the lender up front and repay the loan later with 10 percent interest.What rate would you actually be paying here? Write an equation for the circle. a) Endpoints of a diameter at (9,4) and (-3,-2). a Find the center and radius of the circle with the given equation. ( b) x2 + y2 + 6x 2y 15 = 0 choose ""taste buds"" from the list of structures on the left. a. what part of the tongue are you looking at? The dividend-growth model may be used to value a stock:Round your answers to the nearest cent.$What is the value of a stock if:D0 = $4.70k = 13%g = 8%What is the value of this stock if the dividend is increased to $5.90 and the other variables remain constant?What is the value of this stock if the required return declines to 10 percent and the other variables remain constant?What is the value of this stock if the growth rate declines to 6 percent and the other variables remain constant?What is the value of this stock if the dividend is increased to $5.80, the growth rate declines to 6