Name any 2 physical quantities which have same dimensions.Can a quantity have unit but no dimensions?Explain​

Answers

Answer 1

Answer:

uantities having units, but no dimensions : Plane angle,angular displacement, solid angle. These physical quantities possess units but they do not possess dimensional formulas.

Energy and work have the same dimensions force × distance.

Explanation:

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Related Questions

Calculate the thermal conductivity of argon (CV,m = 12.5 J·K−1·mol−1, σ = 0.36 nm2) at 298 K.

Answers

Therefore, the thermal conductivity of argon (CV,m = 12.5 J·K−1·mol−1, σ = 0.36 nm2) at 298 K is 137.7 mW/(m·K).

The thermal conductivity (λ) of a gas can be estimated by the kinetic theory of gases using the equation:λ = 1/3 × Cv, m × vλ = thermal conductivity Cv,m = heat capacity at constant volume v = average speed of the molecules

The equation to calculate the average speed of the molecules: v = √((8 × R × T) / (π × M))

Where, R is the gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas. Here, we have to calculate the thermal conductivity of argon (CV,m = 12.5 J·K−1·mol−1, σ = 0.36 nm2) at 298 K.

So, let's plug in the values. v = √((8 × R × T) / (π × M))√((8 × 8.314 × 298) / (π × 0.04)) = 330.9 m/sλ = 1/3 × Cv,m × vλ = 1/3 × 12.5 × 330.9λ = 137.7 mW/(m·K)

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what type of solid is conductive when melted but not as a solid

Answers

The solid type that is conductive when melted but not as a solid is ionic solids. Ionic solids are a type of solid that consists of ions that are arranged in a crystal lattice.

An ionic bond is a bond that is formed by the transfer of electrons between atoms with different electronegativities, typically a metal and a non-metal. Ionic solids are non-conductive in their solid form because their ions are held tightly in place by the crystal lattice, so they cannot move to carry an electric charge. However, when they are melted, their ions are free to move around, allowing them to conduct electricity.

Ionic solids have high melting points because of the strong electrostatic attraction between the ions, which means that a significant amount of energy is required to break their lattice structure and melt them. Once melted, however, they are able to conduct electricity because their ions are free to move and carry an electric charge. Some common examples of ionic solids include sodium chloride (table salt), magnesium oxide, and calcium fluoride.

To further understand this topic, you can also mention a few properties of ionic solids in your answer, which include:

Ionic solids have high melting and boiling points due to strong electrostatic forces between ions.

Ionic solids are hard and brittle due to the same electrostatic forces.

Ionic solids are usually soluble in polar solvents like water. They are not soluble in non-polar solvents like benzene.

ionic solids have strong forces of attraction between oppositely charged ions.

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Which change would decrease the total current, I, flowing through this circuit?
A. Increasing the voltage of the battery
B. Decreasing the length of the wires
C. Rewiring the two resistors in a series
D. Adding a third resistor in parallel

Answers

Answer:

A. Increasing the voltage of the battery

Explanation:

The relationship between voltage, V, current, I and resistance, R, is given as follows;

V = I × R

∴ I = V/R

From the above relationship, the current flowing in the circuit is directly proportional to the voltage of the battery, and inversely proportional to the resistance, 'R', of the circuit

Therefore, increasing the voltage, 'V', of the battery, increases the total current, 'I', flowing in the circuit.

A 10 kg bowling ball and a 1 kg softball are both dropped from rest from the same height at the same time. The force of gravity on the bowling ball

Answers

Answer:

98N

Explanation:

Given parameters:

Mass of the bowling ball  = 10kg

Mass of the softball  = 1kg

Unknown:

Force of gravity on the bowling ball  = ?

Solution:

The force of gravity on an object is the same as the weight of the body;

 Weight  = m x g

m is the mass

g is the acceleration due to gravity  = 9.8m/s²

 Weight of bowling ball  = 10kg x 9.8m/s²  = 98N

A 5 kg rifle fires a 15 g bullet at a muzzle velocity of 600 m/s. Find the recoil velocity of
the rifle

Answers

Answer:

v₂ = 1.8 [m/s]

Explanation:

To be able to solve this problem we must raise the principle of conservation and quantity of movement. It is going to study the momentum before and after the firing of the rifle.

P = m*v

where:

P = momentum [kg*m/s]

m = mass [kg]

v = velocity [m/s]

Now we need to analyze the moment before and after the shot.

\((m_{1}+m_{2})*v_{1}=-(m_{1}*v_{2})+(m_{2}*v_{3})\)

where:

m₁ = mass of the rifle = 5 [kg]

v₁ = velocity of the rifle and the bullet before firing = 0 (no movement)

m₂ = mass of the bullet = 15 [g] = 0.015 [kg]

v₂ = velocity of recoil [m/s]

v₃ = velocity of the bullet after firing = 600 [m/s]

Now replacing:

\((5+0.015)*0 = -(5*v_{2})+(0.015*600)\\9 = (5*v_{2})\\v_{2}=1.8 [m/s]\)

Momentum is the product of mass and velocity. The recoil velocity of the rifle weighing 5 kg is 1.8 m/s.

What is conservation of momentum?

According to the law of conservation of momentum if two objects are in contact with each other then for that system of the two objects the momentum of the object before will be equal to the momentum of the object after the collision.

GIven to us

Mass of the rifle, M = 5 kg

Mass of the bullet, m = 15 g = 0.015 kg

Velocity of the bullet afterwards, v₂ = 600 m/s

We know that according to the law of conservation of momentum, the momentum of the bullet and riffle before shooting will be equal to the momentum of the bullet and riffle after shooting.

\(Mu_1 + mu_1 = Mv_1 + mv_2\)

Since, before shooting the bullet was in the riffle and the velocity of both was 0,

\(M(0) + m(0) = Mv_1 + mv_2\\\\-Mv_1 = mv_2\\\\v_1 = -\dfrac{m \times v_2}{M}\)

Substitute the values,

\(v_1 = -\dfrac{0.015 \times 600}{5}\\\\v_1 = -1.8\rm\ m/s\)

Thus, the recoil of the rifle is -1.8 m/s, the negative sign denotes that the velocity of recoil was in opposite direction to the bullet.

Hence, the recoil velocity of the rifle weighing 5 kg is 1.8 m/s.

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An object moving with a speed of 35 m/a and has a kinetic energy of 1500j, what is the mass of the object

Answers

Explanation:

Speed or velocity (V) = 35 m/s

Kinetic energy (K. E) = 1500 Joule

mass (m) = ?

We know

K.E = 1/2 * m * v²

1500 = 1/2 * m * 35²

1500 * 2 = 1225m

m = 3000 / 1225

m = 2.45 kg

The mass of the object is 2.45 kg

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Which element is a metalloid? selenium (Se) polonium (Po) phosphorus (P) iodine (I)

Answers

Answer:

Polonium(Po)

Explanation:

Answer:

B. polonium (Po)

Explanation:

i took the test

A single-phase, 22 kVA, 2400f240 V, 60 Hz distribution transformer has the following characteristics: Core losses at rated voltage are 730 watts; copper losses at half the rated load are 340 watts. (a) Determine the efficiency of the transformer when it delivers full load at 0.46 power factor lagging. (b) Determine the percent of the rated load at which the transformer efficiency is a maximum (In an exam, you may be asked to report this efficiency as a per unit value as well). (c) Determine this efficiency if the power factor of this "optimal" load is 0.9. (d) The transformer has the following daily load cycle. Determine the all-day-efficiency of the transformer. No load for 6 hours; 70% full load for 10 hours at 0.8 PF; 90% full load for 8 hours at 0.9 PF. la) muss = 5!! "/0 (b) Load for mm = as: % (c) hm" with 0.9 power factor load = 555 % % id) name =

Answers

(a) The efficiency of the transformer when it delivers full load at 0.46 power factor lagging can be calculated using the formula:

Efficiency = (Output Power / Input Power) x 100%

The output power can be determined by multiplying the apparent power by the power factor, and the input power is the sum of the core losses and copper losses. By substituting the given values, the efficiency can be computed.

(b) The percent of the rated load at which the transformer efficiency is a maximum can be determined by finding the load level that minimizes the sum of the core losses and copper losses. This can be achieved by varying the load and calculating the total losses until the minimum value is obtained.

(c) To determine the efficiency at the "optimal" load with a power factor of 0.9, the same approach as in part (a) can be used. The output power is calculated by multiplying the apparent power by the power factor, and the input power is the sum of the core losses and copper losses.

(d) The all-day efficiency of the transformer can be found by calculating the weighted average of the efficiencies during each load cycle, considering the duration and power factor of each load condition. By multiplying the efficiency of each load cycle by its corresponding duration and summing them up, the all-day efficiency can be obtained.

To provide a detailed explanation and calculations for each part, I would need the specific numerical values for the apparent power, power factor, load durations, and load power factors. Please provide those values, and I can assist you in solving the problem step by step.

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an electrically charged object can be used to attract:

Answers

An electrically charged object can be used to attract any object with an opposite charge.

This is due to the fundamental principle that opposites attract and repel in physics.

Electric charge is a fundamental property of matter that gives rise to electromagnetic interactions. An electric charge, whether positive or negative, produces an electric field that surrounds it. This field exerts a force on any other charge in its vicinity that is either attracted to or repelled from it. Electric charge is a fundamental property of matter that produces a variety of electric phenomena. When the charge is concentrated in a localized region of space, the object is electrically charged. When there is a net accumulation of charge in an object, it becomes electrically charged. An electrically charged object produces an electric field in its vicinity, which exerts a force on other charged objects. An electrically charged object can be used to attract objects with an opposite charge or repel objects with the same charge.

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How does changing the mass of planets change the gravity?

Answers

So force of gravity is directly proportional to mass of object. If you double the mass of something, gravity acts with twice as much force on it. It's usually reasonable to simply think of the gravitational force between objects as a function of the distance between their centers of mass.

what we can infer jefimenkos equations about the quasistatic approximation

Answers

From Jefimenko's equations, we can infer that they hold true even in the quasistatic approximation.

Jefimenko's equations describe the electric and magnetic fields generated by time-varying charge and current distributions. These equations are derived from Maxwell's equations and provide a complete description of the electromagnetic fields at any point in space and time.

The quasistatic approximation assumes that the electric and magnetic fields vary slowly with respect to time compared to the characteristic time scales of the system. In this approximation, the fields can be considered as being at equilibrium or static for practical purposes.

While Jefimenko's equations are derived for the general case of time-varying fields, they are still applicable in the quasistatic approximation. This is because the equations provide a comprehensive framework for calculating the fields, regardless of the time variation.

In the quasistatic regime, the time-varying terms in Jefimenko's equations become negligible, and the equations simplify to the static or time-independent expressions. Thus, Jefimenko's equations retain their validity and usefulness in the quasistatic approximation, enabling the analysis and calculation of electromagnetic fields in practical scenarios.

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Which statement accurately describes planetesimals?

A. They are the origins of planets.
B. They formed from ice and rocks.
C. They were created during the big bang.
D. They contain 98% of matter in the solar system

Answers

Answer:

B

Explanation:

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i would say b as the answer

at saturation the capillary potential energy of a soil is zero. true or false

Answers

False. The capillary potential energy of a soil is not zero at saturation.The capillary potential energy of a soil refers to the energy associated with the capillary action, which is the ability of water to move through narrow spaces in soil against the force of gravity.

At saturation, the soil is fully saturated with water, meaning that all pore spaces are filled with water. In this state, the capillary potential energy is not zero. When soil is saturated, the capillary forces are at their maximum, resulting in the highest capillary potential energy. The water molecules in the soil are held together by cohesive forces and create capillary forces that resist the force of gravity. These capillary forces allow water to move upward in the soil, against gravity, and contribute to the overall energy of the system.

As the soil dries out and loses water, the capillary potential energy decreases, and eventually, when the soil reaches a point of complete dryness, the capillary potential energy becomes zero. At this stage, the soil can no longer support capillary action. However, at saturation, when the soil is fully saturated with water, the capillary potential energy is not zero.

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17% Part (a) Calculate the x-component of the electric field at point P due to charge Q1. Write your answer in units of N/C.

Answers

The x component would be Ex = 412 x cos 49° = 270 N/C

Assume there is a small positive charge located at point P. By definition the magnitude of the electric field at point P due to charge Q1 is

E = kQ1/d2

where k is the coulomb constant and d is the straight line distance from Q1 to P.

The distance is the hypotenuse of the triangle formed by Q1, Q2, and P.

d = √0.065^2 + 0.075^2 = 0.099 m at an angle of θ = arctan 7.5/6.5 = 49°.

|E| = 8.99 x 10^9 Nm^2 C^-2 x 0.45 x 10^-9 C/ 0.099^2 m^2 = 412 n/C

The x component would be Ex = 412 x cos 49° = 270 N/C

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this is a 3 part question6) (a) Your heart beats with a frequency of 1.45 Hz. How many beats occur in a minute? (b) If the frequency of your heartbeat increases, will the number of beats in a minute increase, decrease, or stay the same? (c) How many beats occur in a minute if the frequency increases to 1.55 Hz?

Answers

Given,

The initial frequency of the heartbeat, f₁=1.45 Hz

The increased heartbeat, f₂=1.55 Hz

The frequency of the heartbeat can be described as the number of occurence of the heartbeat per second. That is every second, the heart beats 1.45 times.

(a)

Thus for a minute, the number of the heartbeats is,

\(\begin{gathered} N_1=f_1\times60 \\ =1.45\times60=87 \end{gathered}\)

Thus 87 beats occur for a minute.

(b)The increase in the frequency of the heartbeat implies the increase in the number of the heartbeat for every second. And hence the beats in a minute increase when the frequency of the heartbeat increases.

(c)

The number of the beats per minute after the increase of the frequency is,

\(\begin{gathered} N_2=f_2\times60 \\ =1.55\times60 \\ =93 \end{gathered}\)

Thus after the increase in the frequency, 93 beats occur in a minute.

HELP PLEASEEEE How might the concept of momentum be applied to seafloor spreading?

Answers

Answer:

the momentum  of the earth

Explanation:

Answer:

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11/28/20      2:14 pm   name tom

hello i hope this is what you needed

What does seafloor spreading result in?

Explanation:

Seafloor spreading occurs at divergent plate boundaries. As tectonic plates slowly move away from each other, heat from the mantle's convection currents makes the crust more plastic and less dense. The less-dense material rises, often forming a mountain or elevated area of the seafloor. Eventually, the crust cracks.

Does anyone knows the answer??​

Does anyone knows the answer??

Answers

Answer:

yaa

Explanation:

Explanation:

: magnitude, direction : least : linear velocity or velocity : velocity : magnitude

i am sooo sorry it will take a lot of time if I copy the sentences,. all answers are correct.

hope this helps you to.

El cuentakilómetros de un coche marca 36 km/h. Un minuto más tarde marca 54 km/h. ¿Qué aceleración ha sufrido el coche? Exprésala en el SI. ¿Qué tipo de velocidades marca el cuentakilómetros?

Answers

The acceleration of the car with initial and final speeds is 8.3×10⁻² m/s². and the odometer shows the distance traveled by the car and the speedometer shows the instantaneous velocity.

Acceleration is defined as the change in velocity per unit time. If the velocity increases, it gives acceleration and if the velocity decreases, it represents deceleration. The SI unit of acceleration m/s².

Acceleration (a) = change in velocity/time

the initial speed of the car (u) = 36km/hr = 36×5/18 = 10 m/s  (km/hr is converted to m/min by multiplying 5/18).

the final speed of the car (v) = 54 km/hr = 54 ×5/18 = 15 m/s

time taken of the car = 1 minute = 60 seconds

Acceleration = v-u / t

                      = 15-10/60

                     = 5/60

                     = 0.083 m/s²

                     = 8.3×10⁻² m/s².

The acceleration of the car = 8.3×10⁻² m/s².

The odometer measures the distance traveled by car.

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The question is  incomplete but most probably your full question was,

The odometer of a car reads 36km/hr. A minute later it reads 54km/hr. What acceleration does the car undergo? Express it in the SI unit. What kind of speeds does the odometer show?

                 

A baseball with a mass of 0. 15 kilograms collides with a bat at a speed of 40 meters/second. The duration of the collision is 8. 0 x 103 seconds. The

ball moves off with a speed of 50 meters/second in the opposite direction. What is the value of the force?

Answers

The value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.

When an object collides with another object, they exchange energy. For example, a baseball and bat collision or a car collision. When two objects collide, the force of the collision has to be equal on both sides of the collision according to Newton's Third Law. So, to find the value of force, we will apply the equation:

F = ΔP / ΔT

where F is the force, ΔP is the change in momentum, and ΔT is the time of collision. The equation represents the impulse momentum theorem.

Now, let's apply the given values to the above equation.

Final momentum (p2) = mass × final velocity (v2)

p2 = 0.15 kg × (-50 m/s)

p2 = -7.5 kg.m/s

Initial momentum (p1) = mass × initial velocity (v1)

p1 = 0.15 kg × (40 m/s)

p1 = 6 kg.m/s

Change in momentum (ΔP) = p2 - p1

ΔP = -7.5 kg.m/s - 6 kg.m/s

ΔP = -13.5 kg.m/s

Time of collision (ΔT) = 8.0 × 10³ s

Now, putting the values of ΔP and ΔT in the equation of impulse momentum theorem, we get:

F = ΔP / ΔT

F = -13.5 kg.m/s ÷ 8.0 × 10³ s

F = -1.7 × 10⁻³ N

Thus, the value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.

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The acceleration due to gravity of Mars is 3.71 m/s2. What is the weight of the Curiosity rover on Mars?

Answers

All u have to do is see how much mass the rover has, and then multiply that value by 3.71

Four 15 o resistors are connected in a series to a 45-v battery. Draw the circuit (include an ammeter and voltmeter)

Answers

To draw the circuit diagram with four 15 ohm resistors connected in a series to a 45-v battery, along with an ammeter and voltmeter, follow the steps below:Step 1: Place the batteryTo begin with, draw the 45 V battery at the top of the page, as shown in the figure below.  Step 2: Add resistorsNext, add the four 15 ohm resistors in a series circuit after the battery, as shown in the figure below.  

Step 3: Add the ammeterIn the circuit, an ammeter is placed in series with the resistors to calculate the total current in the circuit. Connect the ammeter between the last resistor and the negative terminal of the battery, as shown in the figure below.Step 4: Add the voltmeter. Finally, a voltmeter is placed in parallel with the resistors to determine the voltage across them.

Connect the voltmeter in parallel with each resistor, as shown in the figure below. [Figure]Hence, this is how the circuit diagram with four 15 ohm resistors connected in a series to a 45-v battery looks like, along with an ammeter and voltmeter.

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What is a short circuit?

Answers

Answer:

A short circuit is an abnormal connection between two nodes of an electric circuit intended to be at different voltages. This results in an electric current limited only by the Thévenin equivalent resistance of the rest of the network which can cause circuit damage, overheating, fire or explosion.

hope it helps.Please give me brainliest O:-)

Answer:

A short circuit is an electrical circuit that allows a current to travel along an unintended path with no or very low electrical impedance.

Who was the first person to break the sound barrier.

Answers

Answer:

Chuck Yeager

Explanation:

only gorgeous gorgeous humans can answer this.​

only gorgeous gorgeous humans can answer this.

Answers

Answer:

Fall

Explanation:

Archimedes' Principle

Make a
claim about whether a mixture could be made
up of only elements and no compounds.
Summarize evidence to support the claim and
explain your reasoning.

Answers

Answer:

Yes, a mixture can be made up of just elements and no compounds. The elements never experiance a chemical interaction and stay only in physical contact with each other.

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Calculate the expected chain-length (number of repeating units
per chain) that would be formed in your experiment, assuming all
initiators initiate chains and all monomers add onto the chains.
That is

Answers

The expected chain length (number of repeating units per chain) that would be formed in the experiment, assuming all initiators initiate chains and all monomers add onto the chains can be calculated using the following formula.

Expected chain length = (Number of moles of monomers used/Number of moles of initiators used) + 1Where,+ 1 denotes the length of the initiator's unit and is added to the average number of monomer units. Hence, it indicates the length of the polymer's first unit.The number of moles of monomers used can be determined as follows

The number of moles of initiators used can be determined as follows:Number of moles of initiators = (Mass of initiators used/Molecular weight of initiators)Example:If the mass of monomers used is 0.05 g and the molecular weight of monomers is 100 g/mol, then the number of moles of monomers used

= (0.05/100) mol

= 5 × 10⁻⁴ molIf the mass of initiators used is 0.01 g and the molecular weight of initiators is 200 g/mol

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Ethics are deliberately learned from the family. Please select the best answer from the choices provided

Answers

Answer:

what are the choices provided?

Explanation:

Answer:

True

Explanation:

On Edg

Mali loves to make herself dizzy. She spins in place 7 times before falling down right where she was standing. Find her distance and displacement.

Answers

Answer:

Distance-0

Displacement-0

Explanation:

She spun in place and fell in her exact placement she didnt move and distance or displace any area

Mali loves to make herself dizzy, so she spins in place 7 times at a particular place, then the distance and displacement will be equal to zero.

What are distance and displacement?

The complete movement of an object, regardless of direction, is referred to as a distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance. A distance can alternatively be thought of as a scalar quantity, meaning that it is independent of an object's motion's direction.

The term "displacement" simply describes how an object's location has changed. For instance, when an object travels from point A to point B, displacement has taken place. A vector quantity with both magnitude and direction is displacement.

Hence, distance and displacement covered by Mali will be zero.

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Before the internet was available people often search for jobs?

Answers

Answer:

do you mean how? if so

Explanation:people used newspapersand still kinda do back then they had posters up as they still do and newspapers

a standing wave is oscillating at 680 hz on a string, as shown in the figure. what is the speed of traveling waves on this string?

Answers

The speed of traveling waves on this string is approximately 816 m/s.

In a standing wave on a string, the frequency, f, is related to the speed, v, and the wavelength, λ, by the equation:

f = v / λ

In a standing wave, the wavelength is twice the length of the string, so we can write:

λ = 2L

where L is the length of the string.

Substituting this expression for λ into the equation for frequency, we get:

f = v / (2L)

Solving for the speed, we get:

v = 2Lf

Plugging in the values for the frequency and the length of the string, we get:

v = 2 × L × f = 2 × 0.6 m × 680 Hz = 816 m/s

Therefore, the speed of traveling waves on this string is approximately 816 m/s.

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help me pleaseeee!!!!!!! Cu(s) + 4 HNO3 (aq) --> Cu(NO3)2 (aq) + 2NO2 (g) + 2H2O(l)Each student in a class placed a 2.00g sample of a mixture of Cu and Al in a beaker and placed the beaker in a fume hood. The students slowly poured 15.0mL of 15.8M HNO3(aq) into their beakers. The reaction between the copper in the mixture and the HNO3(aq) is represented by the equation above. The students observed that a brown gas was released from the beakers and that the solutions turned blue, indicating the formation of Cu2 (aq). The solutions were then diluted with distilled water to known volumes. Which of the following is true about the reaction?A)16%.B) 32%.C) 64%.D) 96%. Selecting an SUV with a blue exterior? Formal vs. Informal 1: Question 1Which of the following statements is true?Select one:OFormal pronouns and language in Spanish are only used among adults who arenot friends or familyWhether we use a formal or informal pronoun in Spanish depends only on theage of the speakerThere are formal and informal pronouns in Spanish that are used to showdifferent levels of formalityOThere aren't formal and informal pronouns for "you" singular, but there areformal and informal pronouns for you all". How did some Jewish teachers and leaders in Spain try to stop the Alhambra decree?**PROVIDE A CLEAR ANSWER** Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average. Margie wants to know the estimated probability that her first serve will be good at least four of the next six times she serves. How could she design a simulation for this scenario in addition to empire building and self promotion, what other managerial traits have you seen that may not necessarily reduce costs? which of the following would be the effect on the exchange rate with the chinese yuan of expansionary monetary policy? (hint: b is not correct, and d is not correct either) selected answer will be automatically saved. for keyboard navigation, press up/down arrow keys to select an answer. a an increase the exchange rate. b a decrease in the exchange rate. c an increase in exports to china. d an appreciation of the dollar. e both a and c. f both b and d. Which Tyrannical Act of King George III is the worst???Pick 1 Tyrannical Act of King George III and write it in it's entirety. (p 138-139)Number these like this:1. Explain why you think it is the worst. 2. Write what right is being taken away by this act.PLEASE ANSWER AND DON'T USE WEB. Evaluate the expression522+10= -2-614222 Taylor has a points card for a movie theater.She receives 20 rewards points just for signing up.She earns 13.5 points for each visit to the movie theater.She needs 209 points for a free movie ticket.How many visits must Taylor make to earn a free movie ticket? Find the domain and range. Graph each relation.1. {(0, 0), (1, -1),(2, -4).(3,-9),(4, -16)} Neurons and neuroglia work together to form nervous tissue, which is part of the nervous system. Which describes neurons and neuroglia?. Minimize a firms total costs, C = 45X^2+90XY=90Y^2 When the firm has to meet a production quota equal to 2X+3Y=60 by A. Finding the critical values What is the slope of the line through (-9,-6) and (7,-9)? Which of the following connectivity pathways would be the most beneficial to a locally owned and operated photography studio whose owner both takes and develops her own photos? fiber cable wireless transmission copper cable 8. Which of the following concepts about slavery in the Americas is true?A. It grew less cruel over time.B. It came to be based on race.C. It grew without violence.D. It was replaced by indentured servitude. ABCD is a rectangle in which AD = (2x + 1) cm and DC = (3x - 2) cm. PQRS is a trapezium in which PQ is parallel to SR, PQ = (x + 2) cm, SR = (5x 8) cm and the shortest distance between PO and SR is (4x 11) cm. The area of ABCD is twice the area of PQRS. Write down an equation in x to represent this information and show that it simplifies to 18x-89x + 68 = 0. The Wilson Park Pool has 80,000 gallons of water that is being drained at a rate of 4000 gallons per day. How many days has the pool been draining if the water level is at 68,000 gallons? Below is the graph of a trigonometric function. It has a minimum point at(2,-0.9) and an amplitude of 3. Whats the midline?