The angle of incidence of a ray of light striking an equilateral triangular prisms ABC of refracting angle 60o is 40o. Calculate:
(i)the angle of refraction at the first face
(ii)the angle of emergence

Answers

Answer 1

Answer:

1: the refracted angle in the first face is equal to the incident angle that is 60degrees

2. Emergence Angle is 42degrees

Explanation:

Pls see attached file

The Angle Of Incidence Of A Ray Of Light Striking An Equilateral Triangular Prisms ABC Of Refracting

Related Questions

Janaki Temple and Pashupatinath Temple are increasing our pride how​

Answers

Answer:

Janaki temple and Pashupatinath Temple are found in Nepal. These structures are religious and they increase the pride of the country through tourism. These temples are important in the country and are mostly visited by tourists.

This also helps to bring in income for the country and also helps by attracting many visitors and a corresponding development of its tourism industry.

What is the magnetic force on a particle that has 0.000500 C of charge and is moving at
2.50 10m/s to the right through a magnetic field that is 4.20 T and pointing away from
you? Specify both magnitude and direction in your answer.

Answers

Answer:

1.) F = 5.3×10^-3 N

2.) Positive y - direction

Explanation:

The parameters given are:

Charge q = 0.0005C

Velocity V = 2.5010 m/s

Magnetic field B = 4.2 T

Magnetic force F = BVqsinØ

F = BVq

since Ø = 90 degree

Substitute all the parameters into the formula

F = 4.2 × 2.5010 × 0.0005

Therefore, the magnetic force on a particle is F = 5.3 × 10^-3 N

2.) According to Fleming's left hand rule, the direction of the magnetic force will be perpendicular to the magnetic field which moving upward of the screen.

Answer:

it’s f=0.0005 x 2.5 x 10^5 x 4.20

F= 525 N

+ y direction (up)

Explanation:

got it right

Culture creates the context for behavior in society. true or false

Answers

Answer:

True every culture is diffrent and culture is the way to grow up, the people or things you live around, or the ways of life you follow or dress.

Explanation: The definition of culture is:  means a particular set of customs, morals, codes and traditions from a specific time and place. All of that develops how a person may behave in society.

Answer:

true

Explanation:

just took the quiz

A sports car moving at constant velocity travels 120m in 5.0s. If it then brakes and comes to a stop in 4.0s,what is the magnitude of it's acceleration? ​

Answers

AnswerQUESTION①):

✔ First calculating the speed :

V = d(in m)/t(in s)

V = 120/5 V = 24 m/s

✔ You now know the average car's speed, is time it takes to stop it completely, so you can calculate its acceleration :

a = V/t

a = -24/4 a = 6 m/s² The car has an acceleration of 6 m/s².

What rule should be used to transform a table of data to represent the
reflection of f(x) over the yaxis?

Answers

Answer:

Multiply the x values with -1.

Explanation:

By multiplying the numbers by one, you are changing them to be the opposite of their original state.

You multiply the numbers that are in the x-value column because you are reflecting the image over the y-axis.

Hope this helped and good luck!

Answer:

Multiply each x-value in the table by -1

Explanation:

8. You have two iron rods which are identical in appearance, but one is a permanent magnet and the other is unmagnetized. What series of simple experiments can you perform, using only the two rods, which will allow you to determine which of the rods is the permanent magnet

Answers

Answer:

Explanation: Let assume that bars are labeled A and B

Method 1

Using just the identical appearing bar magnet and unmagnetized iron bar.

Place the end of bar A in the middle of bar B.

If bar A sticks to bar B, then bar A is the magnet and bar B the umagnetized iron bar.

If bar A jumps to one of the ends of bar B, then bar B is the magnet.

Reason been that the magnetic field on a bar magnet is greatest at the two poles where the field comes out of the magnet. The center, between the poles, will be the weakest part of the field.

Method 2

Another solution would be to separate the two by quite some distance, float them on a piece of cork/wood in a plastic bucket or suspend them from long strings, then see which one consistently (eventually) lines up tending towards the Earth’s magnetic field.

Barry walks from one end to the other of a 30-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When he reaches the end, he reverses direction and continue walking with the same speed, but this time it takes him 120 seconds because he is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take Barry to walk from one end of the walkway to the other

Answers

Answer:

Δt=48 s

Explanation:

v: Barry's speed

v.: speed of the walkway

Δx=30 m

Δt1=30 s ,  Δt2=120 s

|Δx1|=|Δx2|

Δx=v*Δt

=> (v+v.)*30=(v-v.)*120

v=v.*5/3

30=(v+v.)*30

=> 30=(5v./3 +v.)*30

v.=3/8 m/s

v=5v./3 , v.=3/8

=> v=5/8 m/s

Δx=v*Δt

30=5/8 *Δt

Δt=48 s

Two men, Joel and Jerry, each pushes an object that are identical on a horizontal frictionless floor starting from rest. Joel and Jerry are using the same force F. Jerry stops after 10 min, while Joel is able to push for 5.0 min longer. Compare the work they do.

Answers

Answer:

The work done by Joel is greater than the work done by Jerry.

Explanation:

Let suppose that forces are parallel or antiparallel to the direction of motion. Given that Joel and Jerry exert constant forces on the object, the definition of work can be simplified as:

[tex]W = F\cdot \Delta s[/tex]

Where:

[tex]W[/tex] - Work, measured in joules.

[tex]F[/tex] - Force exerted on the object, measured in newtons.

[tex]\Delta s[/tex] - Travelled distance by the object, measured in meters.

During the first 10 minutes, the net work exerted on the object is zero. That is:

[tex]W_{net} = W_{Joel} - W_{Jerry}[/tex]

[tex]W_{net} = F\cdot \Delta s - F\cdot \Delta s[/tex]

[tex]W_{net} = (F-F)\cdot \Delta s[/tex]

[tex]W_{net} = 0\cdot \Delta s[/tex]

[tex]W_{net} = 0\,J[/tex]

In exchange, the net work in the next 5 minutes is the work done by Joel on the object:

[tex]W_{net} = W_{Joel}[/tex]

[tex]W_{net} = F\cdot \Delta s[/tex]

Hence, the work done by Joel is greater than the work done by Jerry.

A wire carrying a 35.0 A current passes between the poles of a strong magnet such that the wire is perpendicular to the magnet's field, and there is a 2.55 N force on the 3.00 cm of wire in the field. What is the average field strength (in T) between the poles of the magnet

Answers

Answer:

7.65 T

Explanation:

From the question,

Using,

F = BILsinФ......................... Equation 1

Where F = Force, B = magnetic field strength, I = current, L = Length, Ф = Angle.

Make B the subject of the equation

B = F/ILsinФ........................Equation 2

Given: F = 2.55 N, I = 32 A, L = 3.00 cm = 0.03 m, Ф = 90° (perpendicular)

Substitute into equation 2

B = 2.55/(32×0.03×sin90°)

B = 2.55/0.96

B = 7.65 T

Research have found that other than for reasons of hunger, American women eat when they are depressed ,whereas Japanese women eat because of social demands.They found no significant differences between american and japanese men. These results demonstrate that ________ and _______ must be taken into account when studying why and under what circumstances people eat.

Answers

Answer:

culture

food

Explanation:

The above mentioned studied the interaction between food and culture. Food habits reflect different meanings in different cultures. As per the question, the United States America and Japan are two countries far away from each other, which have distinct cultures and gave rise to different eating norms. However, the impact of media have been shaping the eating patterns around the globe, which have brought different food and cultures together.

The density of water is 1000 kg m^3. What is the value expressed in gcm^-3 units? please help me..
(1) 1000 (2) 100 (3) 1 (4) 0.1 (5) 0.01​

Answers

The answer is 1 which is option 3

Here's the neat, cool way to convert units like this:

-- 1 kilogram  =  1,000 grams

-- 1 meter  =  100 centimeters

So . . . . .

(1000 kg/m³) x (1000 g/kg) x (1 m/100 cm)³ =

(1,000 kg/m³) x (1,000 g/kg) x (1 m³/1,000,000 cm³) =

(1,000 x 1,000 x 1 / 1,000,000) (kg-g-m³ / m³-kg-cm³)  =  1 g/cm³

Please help me with this question ASAP.

In a a potentiometer circuit, a 1m long potentiometer wire PQ of resistance 10 ohms is connected in series with a cells of e.m.f. 9V with internal resistance 3 ohms Calculate:

i The p.d. across PQ
ii. The e.m.f. of a cell which has a balance point of 75cm.​

Answers

Answer:

i. 6.923 V

ii. The e.m.f. = 22.5 V

Explanation:

i. The given parameters are;

Length of potentiometer = 1 m

The resistance of the potentiometer = 10 Ω

The e. m. f. of the attached cell = 9 V

The current, I flowing in the circuit = e. m. f/(Total resistance)

The current, I flowing in the circuit = 9 V/(10 + 3) = 9/13 A

The potential difference, p.d. across the 1 m potentiometer wire = I × Resistance of the potentiometer wire

The p.d. across the potentiometer wire = 9/13×10 = 90/13 = 6.923 V

ii) Given that the 1 m potentiometer wire has a resistance of 10 Ω, 75 cm which is 0.75 m will have an e.m.f. given by the following relation;

[tex]\dfrac{E}{R_{balance}} = \dfrac{V}{R_{cell}}[/tex]

Where:

E = e.m.f. of the balance point cell

[tex]R_{balance}[/tex] = Resistance of 75 cm of potentiometer wire  = 0.75×10 = 7.5 Ω

[tex]R_{cell}[/tex] = Resistance of the cell in the circuit = 3 Ω

V = e.m.f. attached cell = 9 V

[tex]\dfrac{E}{7.5} = \dfrac{9}{3}[/tex]

E = 7.5*3 = 22.5 V

The e.m.f. = 22.5 V

Can anyone tell me how to read a micrometer screw gauge I want very clear instructions.

Answers

Explanation:

Things you need to know:

Accuracy refers to the maximum error encountered when a particular observation is made.

Error in measurement is normally one-half the magnitude of the smallest scale reading.

Because one has to align one end of the rule or device to the starting point of the measurement, the appropriate error is thus twice that of the smallest scale reading.

Error is usually expressed in at most 1 or 2 significant figures.

Tape

Equipment: It is made up of a long flexible tape and can measure objects or places up to 10 – 50 m in length. It has markings similar to that of the rigid rule. The smallest marking could be as small as 0.1 cm or could be as large as 0.5 cm or even 1 cm.

How to use: The zero-mark of the measuring tape is first aligned flat to one end of the object and the tape is stretched taut to the other end, the reading is taken where the other end of the object meets the tape.

Ruler

Equipment: It is made up of a long rigid piece of wood or steel and can measure objects up to 100 cm in length. The smallest marking is usually 0.1 cm.

How to use: The zero-end of the rule is first aligned flat with one end of the object and the reading is taken where the other end of the object meets the rule.

Vernier Caliper

Equipment: It is made up of a main scale and a vernier scale and can usually measure objects up to 15 cm in length. The smallest marking is usually 0.1 cm on the main scale.

It has:

a pair of external jaws to measure external diameters

a pair of internal jaws to measure internal diameters

a long rod to measure depths

How to use: The jaws are first closed to find any zero errors. The jaws are then opened to fit the object firmly and the reading is then taken.

Micrometer Screw Gauge

Equipment: It is made up of a main scale and a thimble scale and can measure objects up to 5 cm in length. The smallest marking is usually 1 mm on the main scale (sleeve) and 0.01 mm on the thimble scale (thimble). The thimble has a total of 50 markings representing 0.50 mm.

It has:

an anvil and a spindle to hold the object

a ratchet on the thimble for accurate tightening (prevent over-tightening)

How to use: The spindle is first closed on the anvil to find any zero errors ( use the ratchet for careful tightening). The spindle is then opened to fit the object firmly (use the ratchet for careful tightening) and the reading is then taken.

Q. A train accelerates from 36 km/h to 54 km/h in 10 sec. (i) Acceleration (ii) The distance travelled by car.

Answers

u=10m/s

v=15m/s

acceleration=

v_u/ t

5/10

0.5

Salt compounds are commonly used to melt ice that forms on sidewalks in the winter. A common chemical that is used to melt sidewalk ice is calcium chloride, CaCl2(s). When calcium chloride dissolves into solution is releases thermal energy which aides in melting
the ice.

The molar mass of water is 18.02 g/mol

The thermal energy, in kilojoules (kJ) that must be released from the calcium chloride,
CaCl2(s), to melt 10.0 kg of ice, expressed in scientific notation is a.bc x 104 k).
46
55
The values of a, b, c, and d.

Answers

Answer:

The values of a, b, c and d are

a = 3, b = 3, c = 4 and d = 3

Explanation:

The quantity of heat needed to melt the ice is given by Q = mL where m = mass of ice and L = latent heat of fusion of ice = 334 kJ/kg. This quanity of heat is also the thermal energy needed to be released by the calcium chloride, CaCl₂

Now, the mass of ice = 10 kg. So,

Q = mL

Q = 10 kg × 334 kJ/kg

Q = 3340 kJ

In scientific notation,

Q = 3.34 × 10³ kJ

So the thermal energy needed to be released by the calcium chloride is 3.34 × 10³ kJ

Comparing Q = 3.34 × 10³ kJ with a.bc × [tex]10^{d}[/tex] kJ

So, a = 3, b = 3, c = 4 and d = 3

The values of a, b, c and d are

a = 3, b = 3, c = 4 and d = 3

Three books are at rest, in equilibrium, on a horizontal table as
shown. The weight of each book, which is equal to the force
gravity exerts in the downward direction, is given. What is the
net force on the middle book?​

Answers

Answer:

Net force = 0

Explanation:

Short answer: if the middle book is not acceleration in any direction, the net force is zero.

Long answer: refer to the attached free-body diagram (FBD) to see why the net force is zero.  Skills to draw FBD are  essential in solving problems in statics.

Top book exerts -mg (downwards) on the middle book.

Middle book exerts -mg (downwards) on the bottom book.

Total downward force is -mg-mg = -2mg

By Newton's third law, when an object is not in motion, reaction equals action of -2mg in the opposite direction, therefore the reaction (upwards) is +2mg.

This makes the net force of -2mg (downwards) + 2mg (upwards) =0

On a horizontal table, three books are resting and balanced. The net force on the middle book will be equal to zero.

What is equilibrium?

Equilibrium is the condition of an object when two or more opposing forces, whether internal, external or a combination of both, act on the body and cancel one another out to maintain the object in the same state as it was. The Latin term for weight or balance, libra, serves as the origin of the word equilibrium.

According to the question :

The net force is 0 if the middle book does not accelerate in any direction.

The Middle book is impacted negatively (downwards) by the top book.

The middle book pulls down on the lower book by -mg.

The total downward force is -2mg = (-mg-mg)

According to Newton's third rule, a reaction when an item is not moving equals an action of -2mg in the opposite direction, hence the reaction (upwards) is a response of +2mg.

Consequently, the net force of -2mg (downwards) + 2mg (upwards) = 0 is created.

To get more information about Equilibrium :

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A car engine burns gas at 495 K and exhausts to the air at 293 K. What is the highest possible efficiency it could have?
(NO UNIT)

Answers

Answer:

59.19%

Explanation:

Step 1:

Data obtained from the question. This include the following:

Input temperature = 495 K.

Output temperature = 293 K.

Efficiency =..?

Step 2:

Determination of the efficiency of the engine.

Efficiency is simply defined as the ratio of output to input times 100. Mathematically, it is expressed as:

Efficiency = output /input x 100

With the above formula, we can calculate the efficiency of the engine as follow:

Input temperature = 495 K.

Output temperature = 293 K.

Efficiency =..?

Efficiency = output /input x 100

Efficiency = 293/495 x 100

Efficiency = 59.19%

Therefore, the efficiency of the engine is 59.19%

Answer:

0.41

Explanation:

Trust me bro

Law of conservation
of momentum

Answers

Answer:

Explanation:

Law of conservation of momentum is applied in solving collision problem. When two body collides, their momentum after collision can be determined using the law.

The law States that the sum of momentum of two bodies before collision is equal to the sum of their momentum after collision. Before collision, both bodies moves with a different velocity while during some cases, the bodies moves with a common velocity after collision.

Whether they move with or without the same velocity depends on the type of collision that exists between them after the collision. After collision, some object sticks together and move with a common velocity while some doesn't.

If the bodies sticks together after collision, the type of collision that occur is inelastic (energy is not conserved) and if they splits after collision, the type of collision that occur is an elastic collision (energy is conserved).

Let m1 and m2 be the masses of the bodies

u1 and u2 be their velocities before collision

v1 and v2 be their velocities after collision.

According to the law;

m1u1 + m2u2 = m1v1 + m2v2

Note that momentum = mass × velocity of the body.

By starting with a falsifiable hypothesis and proceeding to gather data and ensure replicability, a scientist can contribute to the potential formation of a(n)

Answers

Answer:

theory

Explanation:

A scientist can contribute to the formation of a theory in a particular subject by conducting research along the line of that subject.

Conducting research requires the formation of a hypothesis and testing the hypothesis by conducting a relevant experiment during which data are gathered, analyzed, and interpreted in order to falsify or accept the hypothesis.

A good experiment must be replicate-able. When the same experiment is repeated by different independent researchers and the same conclusion is arrived at, this could potentially lead to the formation of a theory.

Hence, a scientist can contribute to the formation of a theory by conducting an experiment with replicability in order to test a hypothesis.

Proved that
V = u+at

Answers

Answer:

[tex]\sf Proof \ below[/tex]

Explanation:

We know that acceleration is change in velocity over time.

[tex]\sf a=\frac{\triangle v}{t}[/tex]

[tex]\sf a=\frac{v-u}{t}[/tex]

v is the final velocity and u is the initial velocity.

Solve for v.

Multiply both sides by t.

[tex]\sf at=v-u[/tex]

Add u to both sides.

[tex]\sf at + u=v[/tex]

Answer:

Acceleration = v-u/t  when we flip -u and t to right hand side

then -u changes to plus and denominator t changes to numerator

then then  this equations becomes  v=u+at

Explanation:

You and a friend are on a swing set and her swing is slightly longer than yours. If you both start swinging at the same time, from the same height, where will she be after you have completed one complete swing back and forth?
a. She will still be at the same height as you.
b. She will be slightly higher than you.
c. She will be slightly lower than you but moving downward away from you.
d. She will be slightly lower than you but moving upward toward you.

Answers

Answer:

d. She will be slightly lower than you but moving upward toward you.

Explanation:

Since your swing is slightly shorter than your friend's swing, then you will have more angular speed than your friend. Angular speed increases with a decrease in radius. The closer the body is to the center, the faster the body swings. By the time you would have completed one complete swing back and forth, your friend will just be moving towards you, and she will be slightly lower than you but moving upwards towards you. This principle is the same reason gymnasts pull their limbs closer to their body when they need to swing faster.

Imagine that your standing on a beach but cannot swim. Your friend encourages you to walk into the surf zone created by incoming deep-water waves that have a wavelength of 30 meters. Would it be safe to walk out to where the waves are breaking? Explain how you arrived at your answer.

Answers

Answer:

It would not be safe to walk out to where waves are breaking due to the effect of rip currents

Explanation:

The water depth in the surf zone is between 5 to 10 meters deep and with a wavelength of 30 meters, the speed of the wave is considerably fast such that control for safety may be difficult

Also the speed of the wave is directly related to the depth of the water which means that where the wave described above is fast as well as the rip current, also the water depth is expected to be considerable for a non swimmer

It is best to seek for sign post regarding safe areas and do not go into the water where there are no lifeguards or marked safe zones.

It won't be safe to walk out to where the waves are breaking.

This is because the wavelength is 30 meters which is a characteristic of

areas with significant water depth in the range of 5-11 meters.Under these

conditions the waves are usually very fast and may get swept with the

current from the water waves when trying to run from it.

It is recommended that we stay in areas where the depth is noted as not

being much and should always seek help and clarity from the life guards so

as to prevent drowning and death.

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How is a less-intense wave different from a more-intense wave?
It has fewer decibels.
O It has a higher pitch.
O It has more volume.
It has more energy.

Answers

Answer: It has fewer decibels.

Explanation:

In a sound-wave, the intensity is defined as the power carried by the wave. The decibel is a measure of the ratio between two quantities. And in acoustics is used as the unit of the sound pressure level, which is related to the intensity of the wave, then:

As the intensity increases, we also should notice an increase in the decibels.

How is a less-intense wave different from a more-intense wave?

The less-intense wave has fewer decibels.

Answer:

It has fewer decibels.

Explanation:

List the submultiples and multiple units of length, mass, and time with respect to real-life situations. How are these units are related to S I unit of the above mentioned physical quantity?

Answers

Answer:

Explanation:

In physics, there are two types of physical quantities namely the fundamental and the derived quantities. Fundamental quantities are independent quantities on which derived quantities depends on. Length, mass and time are examples of fundamental quantities.

The SI unit of length is meters. A meter is a multiple unit. Its submultiple units are centimetres (10⁻²metres), kilometres (10³metres), decimetres (10⁻¹metres) etc

The SI unit of mass is kilogram (kg). The only sub multiple unit used in real-life situation is grams.

1 kg = 100 grams

The SI unit of time is seconds. The multiple units are the minutes, hours, weeks, days and years.

1 minute = 60 seconds

1 hour = 3600 seconds

1 day = 24 * 3600 = 86,400 secs

which discribes what a velocity/time graph would look like with no accelaration

Answers

It would be a straight line. No acceleration means constant velocity.

Which of the following statements describes nucleons?
A. Nucleons are the particles that make up a nucleus.
B. Nucleons are the particles in an atom that are neutral.
C. Nucleons are the particles that make up an atom.
D. Nucleons are the particles in an atom that have a charge.

Answers

Answer: nucleons are the particles that make up in nucleus

Explanation:

Nucleons are the particles that make up a nucleus, and they include protons and neutrons.

What are nucleons?

Nucleons are particles that make up nucleus of an atom. They include either proton or neutron, or both found in atomic nucleus.

Generally, nucleons are subatomic particles found within nucleus of an atom.

Therefore, we can conclude that, nucleons are the particles that make up a nucleus.

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A ball is thrown vertically upwards from the roof of a building with an initial velocity of 30 m / s. If it stops in the air 220 m above the ground, what is the height of the building?

Answers

Answer:

175 m

Explanation:

Given:

y = 220 m

v₀ = 30 m/s

v = 0 m/s

a = -10 m/s²

Find: y₀

v² = v₀² + 2a (y − y₀)

(0 m/s)² = (30 m/s)² + 2 (-10 m/s²) (220 m − y₀)

y₀ = 175 m

Which force is there between an ice skate and the ice​

Answers

The answer is friction
friction

At the same time, if there were no friction at all on ice, skating would be impossible, because it is the friction between the skate and the ice when a skater pushes off that starts the motion to begin with. And friction is also what allows a skater to ever come to a stop.

Velocity is a description of an object’s blank

Answers

Change in displacement per unit of time (Ex. 25m/s East)

Velocity is the description of an object's motion from one point to another.

It tells the speed with which the trip is completed, and the direction from the start-point to the end-point.  It tells nothing about any twists, turns, loops, bends, or stops along the way.

Question 1 of 10
What is a neutron
A. A particle inside the nucleus that has no charge
B. A positive particle inside the nucleus
O C. A negative particle outside the nucleus
O D. A negative particle inside the nucleus​

Answers

Answer:

The neutron is a subatomic particle, symbol 

n

 or 

n0

, with no electric charge and a mass slightly greater than that of a proton. Protons and neutrons constitute the nuclei of atoms. Since protons and neutrons behave similarly within the nucleus, and each has a mass of approximately one atomic mass unit, they are both referred to as nucleons.[6] Their properties and interactions are described by nuclear physics.

Explanation:

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In 1998, paleoanthropologist Rick Potts published an article in The Yearbook of Physical Anthropology, a peer-reviewed journal. The article was titled Environmental Hypotheses of Hominin Evolution. In his paper, Potts claimed that great variations in environmental conditions over time were responsible for the adaptability of humans and the success of our species. Which would most likely be found in his paper? a review of modern human anatomical structure evidence of changing environmental conditions, with references the reasons competing hypotheses are wrong his opinion of what will happen to the survival of the human race In calculating the equilibrium constant for a reaction, the coefficients of the chemical equation are used as exponents for the factors in the equilibrium expression. TRUE FALSE WILL MARK BRAINLIEST!!!! Last week Lisa had a gross earning of $1441.30. Cathy receives a base salary of $375 and a commission on sales exceeding her quota of $5000. What is her rate of commission if her sales were $6560? In circle C, what is mArc F H? The USDA maintains ethanol has an impact on food prices. "Higher ethanol production definitely and directly raises the price of corn," said USDA economist Ephraim Leibtag. In the long run in the corn market, what is true if the production of ethanol increases? a. Find the measure of angle A. b. Find the measure of angle CBD. c. Find the measure of AD. d. Find the measure of BC. e. Find the measure of CD. f. Find the measure of BD. Round all answers to two decimal places. please type/ explain work ! no me da el pastel de chocolate! I really need help on this question What are two main categories of health science careers !!!!!!WILL GIVE BRAINLEIST !!!!!! N students joined the radio control club. Some had boats, some had airplanes, and some had cars. They divided into 3 equal groups according to what model each one had. Ten more students joined the radio-controlled airplane group. There are 15 students in this group now. How many students joined the radio control club in the beginning? Let's practise.Compare and contrast between a lion and a cow using the doublbubble map On June 10, 20X8, Playoff Corporation acquired 100 percent of Series Company's common stock. Summarized balance sheet data for the two companies immediately after the stock acquisition are as follows:Playoff Corp. Series CompanyItem Book Value Fair ValueCash $ 15,000 $ 5,000 $ 5,000 Accounts Receivable 30,000 10,000 10,000 Inventory 80,000 20,000 25,000 Buildings & Equipment (net) 120,000 50,000 70,000 Investment in Series Stock 100,000 Total $ 345,000 $ 85,000 $ 110,000 Accounts Payable $ 25,000 $ 3,000 $ 3,000 Bonds Payable 150,000 25,000 25,000 Common Stock 55,000 20,000 Retained Earnings 115,000 37,000 Total $ 345,000 $ 85,000 $ 28,000 Required:a. Prepare the consolidating entries required to prepare a consolidated balance sheet immediately after the acquisition of Series Company shares. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)b. Record the excess value (differential) reclassification entry. A rectangle has a height of 2 and a width of 5x^2-2x+3x Express the area of the entire rectangle.Expression should be expanded.how would I do this?^^ if you can break down the steps for me that'd be amazing! Which statement describes one feature of a closed circuit? Charges do not flow. Bulbs will not shine. The circuit is broken. The circuit is complete. Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two designs. Tests on customer checkout times conducted at two stores where the two new systems have been installed result in the following summary of the data.System System Bn1=120 n2=100x1=4.1 minutes x2=3.4 minutes1=2.2minutes 2= 1.5 minutesTest at the 0.05 level of significance to determinewhether the population mean checkout times of the two newsystems differ. Which system is preferred? Change the sentence below to indirect speech. He asked me to come. What are some of the possible consequences of financial distress? I) Bondholders, who face the prospect of getting only part of their money back, will likely want the company to take additional risks. II) Equity investors would like the company to cut its dividend payments to conserve cash. III) Equity investors would like the firm to shift toward riskier lines of business. A dentist using a dental drill brings it from rest to maximum operating speed of 391,000 rpm in 2.8 s. Assume that the drill accelerates at a constant rate during this time.(a) What is the angular acceleration of the drill in rev/s2? rev/s2 (b) Find the number of revolutions the drill bit makes during the 2.8 s time interval. rev