Which operation is performed to convert a temperature given in degrees Celsius to a temperature in kelvin

Answers

Answer 1

In order to convert a temperature from Kelvin to degrees Celsius, we must deduct 273.15 from it, and in order to transfer a temperature from degrees Celsius to Kelvin, we must add 273.15 to it.

The formula T (K) = T (°C) + 273.15 can be used to convert between Celsius and Kelvin. These two temperature units are extremely dissimilar to one another. The temperature is expressed in °C on the Celsius scale, which was created by Anders Celsius. Lord Kelvin created the Kelvin scale, and K stands for the Kelvin unit of temperature.

The unit of measurement for temperature on a Celsius scale or a centigrade scale is Celsius. It is expressed as °C and can represent a range of temperatures or the difference between two temperatures.

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Related Questions

Two steel blocks slide without friction on a horizontal surface; immediately before impact their velocities are as shown. Knowing that e = 0.75, determine(a) Their velocities after impact,(b) The energy loss duringimpact.

Answers

Since there is no friction, the momentum before the collision is equal to the momentum after the collision.

(a) To determine the velocities after impact, we can use the conservation of momentum equation:

m1v1i + m2v2i = m1v1f + m2v2f

where m1 and m2 are the masses of the steel blocks, v1i and v2i are their velocities before impact, and v1f and v2f are their velocities after impact.

Plugging in the given values:

m1v1i + m2v2i = m1v1f + m2v2f

(10 kg)(4 m/s) + (20 kg)(-3 m/s) = (10 kg)v1f + (20 kg)v2f

Solving for v1f and v2f:

v1f = (-20 kg)(0.75)(-3 m/s - 4 m/s) / (10 kg) = -1.5 m/s

v2f = (10 kg)(0.75)(-3 m/s - 4 m/s) / (20 kg) = -1.05 m/s

Therefore, the velocities after impact are v1f = -1.5 m/s and v2f = -1.05 m/s.

(b) To determine the energy loss during impact, we can use the conservation of kinetic energy equation:

(1/2)m1v1i^2 + (1/2)m2v2i^2 = (1/2)m1v1f^2 + (1/2)m2v2f^2 + energy loss

Plugging in the given values:

(1/2)(10 kg)(4 m/s)^2 + (1/2)(20 kg)(-3 m/s)^2 = (1/2)(10 kg)(-1.5 m/s)^2 + (1/2)(20 kg)(-1.05 m/s)^2 + energy loss

Simplifying:

80 J + 90 J = 11.25 J + 11.025 J + energy loss

energy loss = 147.925 J - 170 J = -22.075 J

Therefore, the energy loss during impact is 22.075 J. Since the value is negative, it indicates that the system gained energy during impact, which means that work was done by an external force (for example, the surface on which the blocks were sliding) on the system.

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I need to know which answer is correct

I need to know which answer is correct

Answers

c!!!!!!!!!!!!!!!!!!!!!!!!

a block lies on a horizontal frictionless surface. a horizontal force of 54 n is applied to the block giving rise to an acceleration of 3.0 m/s 2 . (a) determine the mass of the block. (b) calculate the distance the block will travel if the force is applied for 8 s. (c) calculate the speed of the block after the force has been applied for 8 s.

Answers

F = m*a Formula (1), where F is the algebraic sum of the forces in Newton (N), m is mass (kg), and an is acceleration (m/s2).

Calculation:

Data, F= 100 N, a= 3.0 m/s²

(a) To get the block's mass, we substitute dta in the formula (1)

   F = m*a

  100 =  m*3

  m = 100 / 3

  m = 33.3 kg

We use the following formulas in kinematic analysis since the block moves with a uniformly accelerated motion:

  d= v₀t+ (1/2)*a*t² Formula (2)

  vf= v₀+a*t   Formula (3)

Where: t: time interval in seconds, and d: displacement in meters (m) (s), Initial speed is given as v0, ultimate speed is given as vf, and acceleration is given as an in m/s2.

Data, a= 3.0 m/s², v₀= 0, t = 10 s

(b) The block's travel distance if the force is applied for 10 seconds; we substitute dta in the formula (2):

   d= v₀t+ (1/2)*a*t²

   d = 0+ (1/2)*(3)*(10)²

   d =150 m

(c) Substituting dta in formula (3), determine the speed of the block after the force has been applied for 10 times:

   vf= v₀+a*t

   vf= 0+(3*(10)

   vf= 30 m/s

Are all surfaces frictionless when net force is applied to an object in a horizontal direction?

F magnitude horizontal force is delivered. Force always results in acceleration. We have motion in the direction of motion since there is no friction force or other force opposing the applied force in this situation.

What is the frictional force when there is no horizontal force acting on the real surface where an object is resting?

On a horizontal, frictionless surface, something is resting. F magnitude horizontal force is delivered. Since there is no friction, this force always results in acceleration.

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The volume per second of a fluid flowing through a horizontal pipe of length l is given by kpa/n where k is constant, p is the excess pressure (force per unit area) a is the radius of the pipe and U is the frictional quantity of dimension MLT-1 by dimensions find the number x

Answers

According to the given statement the number x is 2. The number x represents the dimensions of the term p * a in the given equation.

By comparing the dimensions of both sides of the equation, we find that x is equal to 2.

The equation given is:

Volume per second = k * (p * a) / n

Where:
- k is a constant
- p is the excess pressure (force per unit area)
- a is the radius of the pipe
- n is the frictional quantity of dimension MLT⁻¹


To find the number x, we need to determine the dimensions of each term in the equation.

1. Dimension of Volume per second:


  - Volume has the dimension L³ (length cubed)
  - Time has the dimension T (time)
  - Therefore, Volume per second has the dimension L³  / T

2. Dimension of k:


  - The equation states that k is a constant. Constants are dimensionless.

3. Dimension of p * a:


  - Pressure has the dimension M / (L * T² ) (mass divided by length and time squared)
  - Radius has the dimension L (length)
  - Multiplying pressure by radius results in the dimension M / (L * T² ) * L = M / (L²  * T² )

4. Dimension of n:


  - Given in the question, n has the dimension MLT⁻¹
(mass times length times time to the power of -1)

Now, we can equate the dimensions:

L³  / T = k * (M / (L²  * T² )) * MLT⁻¹


Simplifying the dimensions:

L³  / T = k * M / (L²  * T² ) * MLT⁻¹


L³  / T = k * M / L²  * M / T²  * L^-1 * T⁻¹


L³  / T = k * M²  / L²  * T⁻¹


To equate the dimensions, both sides of the equation must have the same dimensions. Therefore:

L³ / T = k * M² / L² * T⁻¹


Comparing the dimensions on both sides, we can conclude:

L³ / T = k * M² / L²* T⁻¹

The dimensions on the left side are L^3 / T, and the dimensions on the right side are (k * M²) / (L² * T).

Therefore, the number x is 2.

The number x represents the dimensions of the term p * a in the given equation.

By comparing the dimensions of both sides of the equation, we find that x is equal to 2.

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_____________ acceleration is used to maintain slow forward motion or allow speed to increase gradually with minimum weight shift.

Answers

Light acceleration is used to maintain slow forward motion or allow speed to increase gradually with minimum weight shift.

What is Acceleration?

This is referred to the rate of change of velocity with time and  is regarded as a vector quantity.

It is also characterized by a positive forward motion and light acceleration on the other hand maintains slow forward motion or allow speed to increase gradually with minimum weight shift.

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why are microwaves stronger than radio-waves?

Answers

Answer: Heyaa! ~

Microwaves have a little more energy than radio waves.

Explanation:

The prior difference between a radio wave and microwave is that the microwave has a shorter wavelength as compared to radio wave.

Hopefully this helps you!

- Matthew ^^

Microwaves have a higher frequency than radio waves so more information can be conveyed. Not only that, they have the ability to transmit signals over a long distance without losing any data.

Hàng ngày ta thấy Mặt trời , Mặt trăng quay quanh Trái Đất, khi đó ta đã lấy vật mốc là

Answers

I’m sorry I don’t understand this language

A good definition of conflict theory

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i dont know thats why i downloaded brainly... so I COULD LEARN

Could there ever be a situation where a small sports car could have more inertia than a big bus?​

Answers

There could as smaller objects have more inertia. Mass is a measure of an objects in Harsha. Objects with greater mass have a greater in Inertia yet it’s still maintains the same amount of inertia as usual. It still has the same tendency to resist changes in its state of motion. So yes it is possible that there could ever be a situation where a small sports car would have more inertia than a big bus. :)

A piece of copper of mass 150g at temperature of mass 70g containing 60g of water at temperature of 20°C. Ignoring heat losses, what would be the final steady temperature of the mixture? [Specific of heat capacity of copper = 4.0× 10²J/kg-1/K ^-1. Please any Physics student can help or if you have any idea, you can help me out. Thanks.​✨✨​

Answers

Answer:

The final temperature is \(29.6^oC\).

Explanation:

When the two masses come in contact, one releases heat and the other absorbs it. The former can be modelled with the equation \(HeatLost = (Mass1 (kg))(c1)(T1-T)\), and the latter by \(HeatGained=(Mass2(kg))(c2)(T-T2)\)

m1=0.15 kg

m2=0.06 kg

T1 = 70 degrees Celsius = 343 K

T2 =  20 degrees Celsius = 293 K

T= Final temperature

c1 = Specific heat capacity of copper

c2 = Specific heat capacity of water

Because there is no heat lost into the surroundings, the heat removed from one substance is the same as the heat gained in the other. Therefore:

\((Mass1)(c1)(T1-T)=(Mass2)(c2)(T-T2)\)

\((0.150)(400)(343-T)=(0.06)(4184)(T-293)\)

\((60)(343-T)=(251.04)(T-293)\)

\(20580-60T=251.04T-73554.72\)

\(-311.04T=-94134.72\)

\(T=302.6 K\)

\(T=29.6^oC\)

Hope this helps! (My apologies if the answer is wrong, it has been a while since I've done this)

A clock's hour hand goes through 1.5 revolutions in 90
minutes.Calculate the angular displacement of the minute hand in
degrees

Answers

Answer:

Explanation:

how far around a circle is once around in degees?

1.5 * 360 = 540°

11. A man lifts a weight of 300 N through a
vertical height of 2 m in 6 seconds. What
power does he develop?

Answers

Explanation:

Weight=force=300N

height=2m

time=6seconds

power=?

now,

power (p)=f×h÷t

power=300×2÷6

power=100w

therefore,A man develops 100 watt power in 6 seconds.

Correct What is the magnitude of the gravitational force on mass M? Express your answer in terms of the variables M, m, L, d, and the universal constant G Figure 1 of 1 Mmd 2L 2L

Answers

The magnitude of the gravitational force on mass M is: F = G * (M * m) / (L^2 + d^2)

To find the magnitude of the gravitational force on mass M, we will use Newton's Law of Universal Gravitation. The formula for this is:
F = G * (M * m) / r^2
Where F is the gravitational force, G is the universal constant of gravitation, M and m are the masses of the objects, and r is the distance between their centers.

Given the information in the question, we have:
M = mass of the larger object
m = mass of the smaller object
L = distance between the centers of the two objects in the horizontal direction
d = distance between the centers of the two objects in the vertical direction

We need to find the total distance r between the centers of the objects. To do this, we can use the Pythagorean theorem:
r^2 = L^2 + d^2
Now, we can plug this into our gravitational force formula:
F = G * (M * m) / (L^2 + d^2)

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I need the answer to (c): Describe how the student accurately traces the path of the light emerging from the block through side CD.

I need the answer to (c): Describe how the student accurately traces the path of the light emerging from

Answers

Explanation:

i guess using a ruler.so first on the opposite side use your eye to alighn the ruler to the light from Ray box then draw a line or you can use pins and place them alighned to the Ray box an draw a line connecting the pins

Which kinship system uses the same terms to refer to parent's siblings as parents, and the same terms to refer to cousins as they would
siblings?
OA Crow
OB. Eskimo
OC. Hawaiian
OD. Omaha

Answers

Answer:

C. Hawaiian

Explanation:

Ego's father and all male relatives in his generation have the same kin name. Ego's mother and all female relatives in her generation are referred to by the same kin term.

Similarly, all brothers and male cousins are linked by giving them the same kin term. Sisters and all female cousins are also referred to by the same term.  

find the frequency of oscillation for the spring system of part i where . (round your answer to three decimal places with a leading zero if necessary, i.e. 0.xxx or x.xxx)

Answers

The frequency of oscillation for the spring system of part i is 0.719 Hz.

Explanation: The frequency of a system is a measure of the number of cycles it completes per second, which is proportional to the square root of the ratio of the spring constant to the mass of the system.

In this case, the spring constant is given as k=2.5 N/m and the mass of the system is given as m=0.35 kg. Plugging these values into the equation for frequency, we get frequency (f) = 1/2π * sqrt(k/m) = 1/2π * sqrt(2.5/0.35) = 0.719 Hz. This result can be rounded to three decimal places, giving us 0.719 Hz.

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Please help. I need to know why D is the correct answer. I will mark you as brainliest and I can help you with something you need help with, I just really need help on this. I will give you any amount of points you want

Please help. I need to know why D is the correct answer. I will mark you as brainliest and I can help

Answers

Vertical velocity after is just reversed in direction and came under gravitational acceleration. So correct option is B.

Describe Velocity?

Velocity is a term commonly used in physics and engineering to describe the rate of change of an object's position with respect to time. It is a vector quantity, meaning it has both magnitude and direction, and is usually expressed in units of meters per second (m/s) or feet per second (ft/s).

Velocity can be positive, negative, or zero, depending on the direction of the object's motion relative to a reference point. Positive velocity indicates that the object is moving in the positive direction, negative velocity indicates that the object is moving in the negative direction, and zero velocity indicates that the object is not moving at all.

Velocity is an important concept in physics, as it is used to describe the motion of objects in both linear and circular paths, and is a key factor in determining the energy and momentum of those objects. It is also used in many real-world applications, such

vcosθ is horizontal velocity which will be constant in direction and magnitude.

Vertical velocity after is just reversed in direction and came under gravitational acceleration.

So correct option is B.

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a ufo going 64 m/s west suddenly experienced a constant acceleration for 63 s during which its displacement was 21,892.5 m west. determine the final speed of the ufo

Answers

The final speed of the UFO after experiencing a constant acceleration for 63 seconds is 351.3 m/s.

What is accelaration?

Acceleration is the rate at which an object increases its speed, velocity or rate of change. It is the rate of change of velocity over time, or the rate of change of the position of an object. Acceleration can be either positive, when the speed of an object is increasing, or negative, when the speed of an object is decreasing.

The final speed of the UFO can be determined by using the equation, v = u + at, where u is the initial velocity, a is the acceleration, and t is the time. So, in this case, v = 64 + (21,892.5/63) = 351.3 m/s. Therefore, the final speed of the UFO after experiencing a constant acceleration for 63 seconds is 351.3 m/s.

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can someone help me convert these?

can someone help me convert these?

Answers

Assuming you are supposed to write each conversion in scientific notation:

(2) 1 m = 100 cm, so

(67 cm) × (1/100 m/cm) = 67/100 m = 0.67 m = 6.7 × 10 ⁻¹ m

(3) 1 km = 1,000 m, so

(1.2 km) × (1000 m/km) = 1200 m = 1.2 × 10³ m

(4) 1 m = 1,000 mm = 10³ mm, so

(6.2 × 10 ⁻³ m) × (10³ mm/m) = 6.2 mm

(5) 1 m = 1,000,000,000 nm = 10⁹ nm, so

(4.05 × 10³ nm) × (1/10⁹ m/nm) = 4.05 × 10 ⁻⁶ m

(6) 1 g = 1,000,000 µg = 10⁶ µg, so

(3200 µg) × (1/10⁶ g/µg) = 3200 × 10 ⁻⁶ g = 3.2 × 10 ⁻³ g

A cannonball is shot from level ground with a velocity of 240.0 m/s at an angle of 32 degrees. How long does the ball take to hit the ground?

Answers

The time of flight is obtained as 25.9 seconds

What is the time of flight?

The time of flight is the time taken to move the object that have been projected along the parabolic path. In this case, we have a cannonball that have been fired  from level ground with a velocity of 240.0 m/s at an angle of 32 degrees.

We know that from the question

T = 2usinθ/g

T = time of flight

u = initial velocity

θ = angle of projection

g = acceleration

T = 2 * 240.0 m/s * sin 32 degrees/9.8 m/s^2

T = 25.9 seconds

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consider the following circuit: (a) find the effective resistance of the circuit. (b) suppose the 3w resistor has a voltage difference of 6v across it. what is the value for the current through each of the resistors? (c) what is the value of the battery voltage? (d) calculate the total power dissipated by the circuit.

Answers

The total power dissipated by the circuit is 36W. We can solve this circuit using a combination of Ohm's Law and Kirchhoff's Laws.

(a) To find the effective resistance of the circuit, we can first simplify the circuit by combining the two parallel resistors:

1/Req = 1/2Ω + 1/3Ω

1/Req = 5/6Ω

Req = 6/5Ω

Now, we can combine the two series resistors with Req: Req_tot = 6/5Ω + 4Ω = 14/5Ω

Therefore, the effective resistance of the circuit is 14/5Ω, or 2.8Ω.

(b) Using Ohm's Law, we can find the current through each resistor if we know the voltage across it. Since the 3Ω resistor has a voltage difference of 6V across it, the current through it is:

I = V/R = 6V/3Ω = 2A

Using Kirchhoff's Current Law (KCL), we know that the current through the 2Ω resistor is the same as the current through the 3Ω resistor. Therefore, the current through the 2Ω resistor is also 2A.

(c) Using Kirchhoff's Voltage Law (KVL), we know that the sum of the voltage drops across each resistor must be equal to the battery voltage. Therefore, we can calculate the battery voltage by adding the voltage drops across each resistor: V_battery = V_2Ω + V_3Ω + V_4Ω

We know the current through each resistor, so we can use Ohm's Law to calculate the voltage drop across each resistor:

V_2Ω = IR = (2A)(2Ω) = 4V

V_3Ω = IR = (2A)(3Ω) = 6V

V_4Ω = IR = (2A)(4Ω) = 8V

Substituting these values, we get:

V_battery = 4V + 6V + 8V = 18V

Therefore, the battery voltage is 18V.

(d) To calculate the total power dissipated by the circuit, we can use the formula:

P = IV

We know the current through each resistor, so we can use Ohm's Law to calculate the voltage drop across each resistor, and then use the formula above to calculate the power dissipated by each resistor:

P_2Ω = (2A)(4V) = 8W

P_3Ω = (2A)(6V) = 12W

P_4Ω = (2A)(8V) = 16W

The total power dissipated by the circuit is the sum of the power dissipated by each resistor:

P_tot = P_2Ω + P_3Ω + P_4Ω = 8W + 12W + 16W = 36W

Therefore, the total power dissipated by the circuit is 36W.

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if the ball exits the track while undergoing an acceleration of 3g (3 times the acceleration due to gravity), how far away from the base of the track does the block land?

Answers

If the ball exits the track while undergoing an acceleration of 3g, 55.4m away from the base of the track does the block land

Acceleration ac = V²/R = 3g

V = √3gR

By using kinematic equation for vertical motion of ball,

S = u t  + 1/2 gt²

S = 2R, U = 0

t = √4R/g

Horizontal distance is given by

D = vt = √3gR × √4R/g

D = 2√3 R

D = 55.4m

To get the equation for the horizontal distance, one can rearrange the slope percent equation. Divide both sides by run to rewrite the equation's terms. The slope percent is applied to both sides. Horizontal distance is calculated as run = (rise 100) / slope%. When two points are separated by a horizontal distance, the slope is zero percent.

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NaHCO3 + CaCl2 = CaCO3 + 2NaCl + H2O how can I balance this equation

Answers

Answer:

NaHCO3 + CaCl2 = CaCO3 + 2NaCl + H2O

Explanation:

It is physically impossible to balance this equation you may be missing another compound

What is the wavelength in nanometers of light with a frequency of 7. 8 × 1015 hz?.

Answers

38 nm A waveform signal that is carried in space or down a wire has a wavelength,

What is wavelength?

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).

The wavelength of the wave is the distance covered by it throughout a whole oscillation. A meter is the wavelength's SI unit (m).

*v=c/λ

v: 7.8 × 10^15 Hz c: 3.00*10^8 λ:?

7.8 × 10^15 Hz = 3.0010^8/λ

λ = 3.0010^8 m/s /7.8 × 10^15

λ = 3.8 10^-8

The calculated wavelength is in unit of meter. use the relationship between meter and nanometer to convert to the correct units.

3.8 10^-8 m (1nm/ 110^-9m )

= 38 nm

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What are non examples of conduction ?

Answers

Answer:

Non-examples of conduction include convection, radiation, and deformation. Convection is the transfer of heat through the movement of a liquid or gas, whereas radiation is the transfer of energy through electromagnetic waves. Deformation is a change in shape due to force.

Answer:  some examples of non-conductive materials include paper, glass, rubber, porcelain, ceramic and plastic.

Explanation:

A body of mass 500kg moving at a speed of 10m/s reaches the speed of 50m/s in 20s.The force exerted is

Answers

Answer:

answer is 1000 N

formula used-

F= m x (v-u/t)

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A body of mass 500kg moving at a speed of 10m/s reaches the speed of 50m/s in 20s.The force exerted is

15. A 0.500-kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.00 s?

The answer is 0.389 kg but please show your work.

Answers

Let's look at relationship

\(\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{m}{k}}\)

\(\\ \rm\rightarrowtail T\propto \sqrt{m}\)

Hence

\(\\ \rm\rightarrowtail \dfrac{T_1}{T_2}=\sqrt{\dfrac{m1}{m2}}\)

\(\\ \rm\rightarrowtail \dfrac{1.5}{2}=\sqrt{\dfrac{0.5}{m2}}\)

\(\\ \rm\rightarrowtail 0.75^2=\dfrac{0.5}{m2}\)

\(\\ \rm\rightarrowtail m_2=\dfrac{0.5}{0.75^2}\)

\(\\ \rm\rightarrowtail m_2=0.889\)

Hence

Mass needs to added =0.889-0.500=0.389kg

Answer

Mass needs to added =0.889-0.500=0.389kg

Explanation:

which of the components of the universe best describes a system of stars, gases, and dust held together by gravity? * 2 points a. galaxy b. planet c. comet d. solar system

Answers

A galaxy is an enormous collection of gas, dust, billions of stars, and their solar systems all locked together by gravity.

What element of the cosmos is composed of gas and dust?

A nebula is a very large cloud of gas and dust in outer space. When a dying star explodes, such as during a supernova, gas and dust are released into space, creating certain nebulae. Other nebulae are places where brand-new stars are only starting to develop.

What is the name of the gas and dust that exists in a galaxy between stars?

The substance that fills the void between stars is, in a nutshell, the interstellar medium. Dust makes up the remaining 1% of the interstellar medium, which is 99% gas (mainly hydrogen).

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Find the x and y components of each of the following vectors.

hyp = 15 m/s
theta = 150°
x = ?
y = ?

Find the x and y components of each of the following vectors.hyp = 15 m/stheta = 150x = ?y = ?

Answers

Answer:

x =

\( - 15 \times \frac{ \sqrt{3} }{2} \frac{m}{s} \)

y = 7.5m/s

giving brainly if correct show work​

giving brainly if correct show work

Answers

Answer:

Umm Lucy will weigh to many pounds

Explanation:

Other Questions
Use the diagram below for #1-3.EDFHCB find the first partial derivatives of the function. f(x, y) = x4+ 4xy9fx(x, y)=fy(x, y)= In the electric of capacitance 4 ,3 and 2 microfaradas, respectively, are connected in senes to a battery of 260 V , calculate the charge? Match each formula on the left side to an equivalent formula on the right side. A = BCD B = C /AD A = BC /D B = CD / A= CD/ B B = A/ CD A = C/ BD B = AD / the red cross calls you to give blood during your first month after your last dose. you tell them: a. i cannot give blood until 1 month after my last dose of isotretinoin. b. i can never give blood again. What process happens before both mitosis and meiosis? 10. A study of workplace benefits found that 56% of all American workers have a retirement plan, 68% have health insurances, and 49% have both. a) What is the probability that a randomly selected worker has a retirement plan or health insurance Declaration of Sentiments and Resolutions Elizabeth Cady StantonIn context, the word usurpations in paragraph 2 most closely meansA.wrongful possessionsB.appropriate controlsC.jaded beliefsD.pre-emptive arrestsE.rightful behaviors the average lifespan of americans has nearly doubled in the past____ 3. Find the coordinates for the three bases and graph them below: (3 points: 1 point for each base)The baseball field has the following dimensions:a) The baseball diamond is 90 feet by 90 feet.b) The pitcher's mound is 60.5 feet from home base.c) The horizontal distance from the pitcher's mound to the right fielder is 95 feet. a) Home plate: (0, 0)b) First base: ( ___ , ___ )c) Second base: ( ___ , ___ )d) Third base: ( ___ , ___ ) Suppose that while households are deciding to increase savings, the demand by firms for investment funds falls. in the market for loanable funds, the real interest rate will _____________ and the quantity of loanable funds will ___________ The revenue of a car dealer from car sales is a function of the advertising expenditure. Hence R=f(a), where both of a and Rare in thousands of dollars. on advertising, then its revenue is 50 (a) f(10)=50 means that if the the car dealer spends 10 thousands of dollars thousands of dollars , spending on advertising, the car (b) f'(10)=2 means that for every increase of $1,000$ from 10 thousands of dollars dealer's revenue increases by about 2 thousands of dollars . (c) f(9.8) is approximate thousands of dollars . Bramble, Inc. paid $211000 to buy back 21200 shares of its $1 par value common stock. This stock was sold later at a selling price of $8 per share. The entry to record the sale includes adebit to Retained Earnings for $41400.debit to Paid-in Capital from Treasury Stock for $211000.credit to Paid-in Capital from Treasury Stock for $21200.credit to Retained Earnings for $21200. What has impacted the world more: The initial creation of telephone or a smart cellphone? Explain your reasoning! I need this please!! Find the distance between points P and S: At a state park, the admission fee for 2 buses and 1 van costs $9.50. In June, a group of students on 3 buses and 2 vans enters the state park for a total admission fee of $15.50. In September, a group of students on 7 buses and 4 vans enters the state park for a total admission fee of $34.50. in relationship to art, Marxism is BETHESDA MINING COMPANYBethesda Mining is a midsized coal mining company with 20 mines located in Ohio, Pennsylvania, West Virginia, and Kentucky. The company operates deep mines as well as strip mines. Most of the coal mined is sold under contract, with excess production sold on the spot market.The coal mining industry, especially high-sulfur coal operations such as Bethesda, has been hard-hit by environmental regulations. Recently, however, a combination of increased demand for coal and new pollution reduction technologies has led to an improved market demand for high-sulfur coal. Bethesda has just been approached by Mid-Ohio Electric Company with a request to supply coal for its electric generators for the next four years. Bethesda Mining does not have enough excess capacity at its existing mines to guarantee the contract. The company is considering opening a strip mine in Ohio on 5,000 acres of land purchased 10 years ago for $5 million. Based on a recent appraisal, the company feels it could receive $5.5 million on an aftertax basis if it sold the land today.Strip mining is a process where the layers of topsoil above a coal vein are removed and the exposed coal is removed. Some time ago, the company would simply remove the coal and leave the land in an unusable condition. Changes in mining regulations now force a company to reclaim the land; that is, when the mining is completed, the land must be restored to near its original condition. The land can then be used for other purposes. Because it is currently operating at full capacity, Bethesda will need to purchase additional necessary equipment, which will cost $85 million. The equipment will be depreciated on a seven-year MACRS schedule. The contract runs for only four years. At that time the coal from the site will be entirely mined. The company feels that the equipment can be sold for 60 percent of its initial purchase price in four years. However, Bethesda plans to open another strip mine at that time and will use the equipment at the new mine.The contract calls for the delivery of 500,000 tons of coal per year at a price of $82 per ton. Bethesda Mining feels that coal production will be 620,000 tons, 680,000 tons, 730,000 tons, and 590,000 tons, respectively, over the next four years. The excess production will be sold in the spot market at an average of $76 per ton. Variable costs amount to $31 per ton, and fixed costs are $4,100,000 per year. The mine will require a net working capital investment of 5 percent of sales. The NWC will be built up in the year prior to the sales.Bethesda will be responsible for reclaiming the land at termination of the mining. This will occur in Year 5. The company uses an outside company for reclamation of all the company's strip mines. It is estimated the cost of reclamation will be $2.7 million. In order to get the necessary permits for the strip mine, the company agreed to donate the land after reclamation to the state for use as a public park and recreation area. This will occur in Year 6 and result in a charitable expense deduction of $6 million. Bethesda faces a 38 percent tax rate and has a 12 percent required return on new strip mine projects. Assume that a loss in any year will result in a tax credit.You have been approached by the president of the company with a request to analyze the project. Calculate the payback period, profitability index, net present value, and internal rate of return for the new strip mine. Should Bethesda Mining take the contract and open the mine? Mathematics 25 points 7/8 x 1/3 x 2/3 in fractions