The pressure of a gas contained in a cylinder with a movable piston is 300 Pa. The area of the piston is 0.5 m² . Calculate the force that is exerted on the piston.

Answers

Answer 1

Answer:

150N

Explanation:

formula= pressure= force/area

300pa= x/0.5

300*0.5= x

150N= x

force= 150N


Related Questions

as the trait is dominant and controlled by a single gene,the mutation must have occurred on both diploid copies. true or false?

Answers

Answer:

False

Explanation:

A dominant trait is a trait that is inherited from parents. It is a trait that is obtained from a particular copy or type of a gene that overshadows or overwhelms the effects of another type or copy of that gene. Dominant traits are controlled by a single gene.

Therefore , as the trait is dominant and controlled by a single gene,the mutation must have occurred on both diploid copies is a false statement.

In young's double silt experiment if the distance between the silts is 0.5 and the distance between the silts and screen is 2 times.Then what will be the width of bands

Answers

Answer: The width of bands will be 2λ

Explanation: Please see the attachments below

Which of the following choices is a characteristic of the Baroque period?
clear melodies
simplified orchestration
emotional meaning
grandeur​

Answers

Answer: C

emotional meaning

Explanation:

Baroque style in the Baroque period is an ancient way of variety of arts used to produce European uniqueness in many art works such as magnificence in sculpture, painting, architecture, literature, dance, music and drama.

The characteristic of the Baroque period that helped to achieve all these is the extravagant display of emotions and details orientation.

What’s the maximum height of the second hill? Use your answer from part E and the formula PE=m•g•h to determine the answer. Assume that g = 9.8m/sec2.

Answers

Answer:

111.4 m

Explanation:

PE = m x g x h

349,300 = 320 x 9.8 x h

h = 349300 : 3136

h = 111,384 m

If the total momentum of a system of an old woman pushing a shopping cart is 450 kg×m/s, both with a velocity of 3 m/s, and the woman has a mass of 50 kg, what is the mass of the cart?

Answers

Answer:

100kg

Explanation:

Momentum is defined as the product of mass times velocity:

[tex]p=mv[/tex]

The total momentum M must be equal to the sum of momentums of the system components, in this case the momentum of the lady plus the momentum of the cart:

[tex]M=m_{woman}v_{woman}+m_{cart}v_{cart}[/tex]

since both the woman and the shopping cart have the same velocity:

[tex]v_{woman}=v_{cart}=v[/tex]

the equation becomes:

[tex]M=m_{woman}v+m_{cart}v\\M=v(m_{woman}+m_{cart})[/tex]

and since we need the mass of the cart we solve for [tex]m{cart}[/tex]:

[tex]m_{woman}+m_{cart}=\frac{M}{v} \\\\m_{cart}=\frac{M}{v} -m_{woman}[/tex]

the values given by the problem are the following:

total momentum: [tex]M=450kgm/s[/tex]

mass of the woman: [tex]m_{woman}=50kg[/tex]

velocity: [tex]v=3m/s[/tex]

we substitute all of them in the equation to find the mass of the shopping cart:

[tex]m_{cart}=\frac{450kgm/s}{3m/s} -50kg\\\\m_{cart}=150kg-50kg\\\\m_{cart}=100kg[/tex]

the mass of the cart is 100kg.

Gamma radiation can be significantly reduced by…

A sheet of paper

Air

A 3 mm thickness of aluminium

Several cm of lead

Answers

Answer:

Several cm of lead

Explanation:

Two identical 82 mg dust particles very far apart (PEE 0) are moving directly toward each other at a speed of 3698 m/s. The charge on each is-719 ?C. Determine how close they will get to each other. Let k = 9x109 N-m2/C2 & ignore gravity.

Answers

Answer:

r = 4.139

Explanation:

In order to calculate how close the particles will get to each other, you take into account that all kinetic energy becomes electric potential energy between the particles when they are at the minimum distance. Then, you have:

[tex]U=K\\\\k\frac{q_1q_2}{r}=\frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2[/tex]         (1)

q1 = q2: charge of the dust particles = -719μC = -719*10^-6 C

m1 = m2: mass = 82mg = 82*10^-6 kg

v1 = v2: speed of both particles = 3698 m/s

k: Coulomb's constant = 8.98*10^9 Nm^2/C^2

You solve the equation (1) for r:

[tex]q_1=q_2=q\\\\m_1=m_2=m\\\\v_1=v_2=v\\\\k\frac{q^2}{r}=mv^2\\\\r=\frac{kq^2}{mv^2}[/tex]

Finally, you replace the values of all parameters:

[tex]r=\frac{(8.98*10^9Nm^2/C^2)(-719*10^{-6}C)^2}{(82*10^{-6}kg)(3698m/s)^2}\\\\r=4.139m[/tex]

hence, the distance at which both dust particle are closer to each other is r = 4.139m

Which statement is part of Dalton's atomic theory?
A. Atoms are composed of protons, neutrons, and electrons.
B. Elements can have atoms that are isotopes.
C. One type of atom cannot be changed to another type by a chemical reaction.
D. Electrons move around the nucleus in an electron cloud.

Answers

A. Atoms are composed of protons, neutrons, and electrons.

In the first section of his thesis, he claims that all matter is composed of indivisible atoms. The second part of the theory states that every atom in a certain element has the same mass and properties. Compounds, according to the third section, are combinations of two or more different kinds of atoms. Thus, option A is correct.

What best define about Dalton's atomic theory?

Atoms are the incredibly minuscule building blocks of all stuff. A given element's atoms are all the same size, mass, and other characteristics. Distinct elements' atoms have different mass, size, and other characteristics. Atoms can never be divided, produced, or eliminated.

Atoms are indivisible units that cannot be created or destroyed during a chemical process. Each atom of a certain element has the same mass and chemical properties. Atoms of various elements have weights and chemical properties that differ.

Therefore, Compounds are created when atoms combine in ratios of small whole numbers.

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A boat sends an ultrasound signal of frequency 30 kHz, and receives the signal after 6 s. If the speed of sound in water is 1500 m/s, then find the depth of the ocean.

PLEASE HELP

Answers

Answer:

4500

Explanation:

hey there!

first we convert the khz to hz=30000hz

we use the formula 2d=distance×time

2d=1500×6

d=9000/2=4500

i think this is the right answer....

hope this helps u :)


Find the average speed of a car that is travelling 45 km in 5 hours. *
4 points
6 km/h
8 km/h
9 km/h
20 km/h​

Answers

Answer:

9 km/h

Explanation:

Speed can be found using the following formula.

s=d/t

where d is distance and t is time.

The car traveled 45 kilometers in 5 hours.

d=45 km

t=5 h

Substitute these values into the formula

s=45 km/5 h

Divide 45 by 5

s=9 km/h

The average speed of the car is 9 kilometers per hour.

The answer would be 9 ! Hope this helps !

In any case, resistance of a material is a measure of the quantity of

present in the materials.

Answers

Answer:

free electrons

Explanation:

Answer:

free electrons

Explanation:

What is true about the force between charges?

Answers

Explanation:

The force between two charges is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

k is electrostatic constant

r is distance between charges

The force between charges is directly proportional to the product of charges and inversely proportional to the square of the distance between them.  

What happens to energy “lost” during an energy transformation? A. It turns into heat energy. B. It turns into kinetic energy. C. It turns into potential energy. D. It turns into kinetic energy and potential energy.

Answers

Answer:

I think it turns into heat (thermal) energy if I'm right

what is the efficiency of a machine that can carry a load of 100 kg with an effort of 20N when its velicity ratio is 10​ ASAP

Answers

Answer:

Efficiency of machine=4.9

Explanation:

We are given that

Mass of load=100 kg

Effort=20 N

Velocity ratio=10

We have to find the efficiency of machine.

Load=[tex]mg=100\times 9.8=980 N[/tex]

Efficiency=[tex]\frac{Load}{effort}\times \frac{1}{velocity\;ratio}[/tex]

Using the formula

Efficiency of machine=[tex]\frac{980}{20}\times \frac{1}{10}[/tex]

Efficiency of machine=[tex]\frac{49}{10}[/tex]

Efficiency of machine=4.9

Distance travelled can be found from the
A area under a velocity-time graph
B area under an acceleration-time graph
C gradient of a force-time graph
D gradient of a velocity-time graph

Answers

Answer:

A

Explanation:

This is because distance traveled (i.e. displacement) is the integral of the velocity function, and velocity is the first derivative of the displacement function. To put this in perspective, the area bounded by a curve can be found by taking the integral of the equation of the curve, taking values on the x-axis as limits.

36- Why are sneakers and tires grooved?

Answers

SNEAKERS and tires are grooved so that there is some kind of interlock with it and the surface . This interlocking creates more friction and this friction enable the object to have some grip on the surface . If the sneakers or tires werent grooved,then with sneakers we might slip and fall and with tyres the car would skid  

Which properties are characteristics of non metals

Answers

Non - Metals:

Non- metals are bad conductor of electricity ( except Graphite ).

Non- metals are also bad conductor of heats. ( except diamond )

Non - metal are neither malleable nor ductile. They are brittle.

Non-metal are not strong.

Non-metal are not sonorous.

Some terms:

★ Malleable: This means that metals can be beaten into thin sheets with hammer.

★ Ductile: This means that metals can be drawn into thin wires.

★ Brittle: This means that non-metal break into pieces on hammering.

★ Sonorous: This means capable of producing a ringing sound.

A steam power plant produces 50MW of net work while burning fuel to produce 150MW of heat energy at the high temperature. Determine the cycle thermal efficiency and the heat rejected by the cycle to the surroundings.

Answers

[tex]Nth[/tex] =[tex]\frac{W net, out}{Qh}[/tex]

50MW is our net output.

Then, we plug it in.

= [tex]\frac{50MW}{150MW}[/tex] = 0.333 or 33.33%

W net, out = Qh - Ql

Ql = Qh - W net,out

Plug the values in.

Then, it becomes:

= 150MW - 50 MW

= 100MW

Thus, the cycle thermal efficiency is 33.33% and the heat rejected is 100MW.

100 MW of the cycle thermal efficiency and the heat is thermal energy rejected by the cycle to the surroundings.

What is  thermal energy?

The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted across various systems and how work is performed in the process.

N = W/Q

50 MW is our net output.

Then, we plug it in.

= 50/150  = 0.333 or 33.33%

W net, out = Qh - Ql

Ql = Qh - W net,out

Plug the values in.

Then, it becomes:

= 150 MW - 50 MW

= 100 MW

Thus, the cycle thermal efficiency is 33.33% and the heat rejected is 100 MW

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Your bone structure, metabolism and body fat distribution all contribute to your ______ A.Body type B. Height C. Energy levels D. Exercise habits

Answers

Answer:

Maybe [A]

Explanation:

When only ________ acts on an object's mechanical energy is conserved.
A.) Gravity
B.) Friction
C.) Air resistance
D.) Momentum

help ASAP

Answers

Answer:

Gravity

Explanation:

The mass of the jupiter is 19*10^26kg &the mass of the earth is 6*10^24kg.if the distance between the jupiter &earth is 6.29*10^6km.what will be the gravitational force between these two masses?

Answers

Answer:
The Gravitational Force between the 2 masses is approximately 1.209x10^32 Newton’s

Explanation:

Some parents build their children’s lives around sports and place a high premium on the successes their children achieve in sports. Such parents often enroll their kids in sports programs when they are in preschool and continue to encourage their involvement in sports through high school and beyond. Many of these parents justify their position by equating success on the playing field with success in the real world. They also cite the benefits of sports to support their decisions: improving physical fitness, building lasting friendships, and acquiring life skills, such as persistence and teamwork. In light of this phenomenon, discuss the benefits and drawbacks to parental involvement in their children’s sports lives. When do parents cross the line between healthy encouragement to prepare their children for success and pushing them to succeed at all costs?

Answers

Answer:

I think they cross the line when they force sports into their child's life, and take away their choice of what they want to do so they essentially waste their childhood preparing for something that may never happen or they just don't get the opportunity to explore their artistic abilities.

Explanation:

What is the mass of a dog if it accelerates at 15 m/s^2 and has a force of 50 N?

Answers

Answer:

3.33kg

Explanation:

Force=mass×acceleration

Force=50N

Acceleration=15m/s^2

50=m×15

50=15m

50/15=15m/15

3.33=m

Therefore the mass is 3.33kg

The temperature of the air in a valley begins to increase after the sun comes up and heats the valley floor. What will
happen to the velocity of sound in this valley?
-The velocity will increase
-The veocity will decrease
-The velocity will not change
-The velocity will drop to zero.​

Answers

Explanation:

I think it will increase a little bit ... just image ... if the temperature is 0, the velocity will be 0 too. because the vibration of atom is so weak and the sound cant progation.

Answer:

The velocity will increase.

Explanation:

Wave velocity and the temperature of the medium are directly proportional so if the temperature increases, the velocity will increase.

6. A technlclan can be electrocuted when working on HEVs or EVs.

A) O True

B) O False

Answers

Answer:

True

Explanation:

It is true that. A technician can be electrocuted when working on HEVs or EVs, therefore the correct answer is option A

What is an electric vehicle (EV)?

An EV stands for an electric vehicle. Electric vehicles (EVs) are autos that are powered totally or partially by electricity. Electric cars are extremely cost-effective to run because they have fewer moving parts to maintain and use little to no fossil fuels (petrol or diesel).

When evaluating its environmental impact, every factor must be taken into consideration. Considering that EVs have a minimal overall environmental impact, this suggests that the severity of these production emissions decreases.

Recycling is one strategy for lowering the lifespan emissions of electric vehicles. Again, incorrect assumptions can be refuted by facts.

Thus, That is accurate. The correct response is option A because a technician could electrocute themselves while working on HEVs or EVs.

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The average kinetic energy of the molecules of an ideal gas at 10∘C has the value K10. At what temperature T1 (in degrees Celsius) will the average kinetic energy of the same gas be twice this value, 2K10? Express the temperature to the nearest integer. View Available Hint(s) T1 T 1 T_1 = nothing ∘C Part B The molecules in an ideal gas at 10∘C have a root-mean-square (rms) speed vrms. At what temperature T2 (in degrees Celsius) will the molecules have twice the rms speed, 2vrms? Express the temperature to the nearest integer. View Available Hint(s) T2 T 2 T_2 = nothing ∘C

Answers

Answer:

A) T1 = 566 k = 293°C

B) T2 = 1132 k = 859°C

Explanation:

A)

The average kinetic energy of the molecules of an ideal gas is givwn by the formula:

K.E = (3/2)KT

where,

K.E = Average Kinetic Energy

K = Boltzman Constant

T = Absolute Temperature

At 10°C:

K.E = K10

T = 10°C + 273 = 283 K

Therefore,

K10 = (3/2)(K)(283)

FOR TWICE VALUE OF K10:

T = T1

Therefore,

2 K10 = (3/2)(K)(T1)

using the value of K10:

2(3/2)(K)(283) = (3/2)(K)(T1)

T1 = 566 k = 293°C

B)

The average kinetic energy of the molecules of an ideal gas is given by the formula:

K.E = (3/2)KT

but K.E is also given by:

K.E = (1/2)(m)(vrms)²

Therefore,

(3/2)KT = (1/2)(m)(vrms)²

vrms = √(3KT/m)

where,

vrms = Root Mean Square Velocity of Molecule

K = Boltzman Constant

T = Absolute Temperature

m = mass

At

T = 10°C + 273 = 283 K

vrms = √[3K(283)/m]

FOR TWICE VALUE OF vrms:

T = T2

Therefore,

2 vrms = √(3KT2/m)

using the value of vrms:

2√[3K(283)/m] = √(3KT2/m)

2√283 = √T2

Squaring on both sides:

(4)(283) = T2

T2 = 1132 k = 859°C

A) The temperature at which the average kinetic energy will have a value of 2K10 is; T1 = 293 °C

B) The temperature at which the molecules have twice the rms speed, 2vrms is; T2 = 859 °C

A) We are given;

Initial temperature; T = 10°C = 283 K

Initial kinetic energy; KE = K10

Final kinetic energy; KE1 = 2K10

Now,formula for average kinetic energy of the molecules of an ideal gas is given as;

KE = (3/2)kT

Where;

k is Boltzmann constant

T is temperature

We are told that in the second case, KE = 2K10. Thus;

2K10 = (3/2)kT1

K10 = ¾kT1 - - - (eq 2)

In the first instance, we have;

K10 = (3/2)kT - - - (eq 1)

Put (3/2)kT for K10 in eq 2 to get;

(3/2)kT = ¾kT1

k will cancel out to get;

(3/2)T = ¾T1

Make T1 the subject to get;

T1 = 2T

Thus;

T1 = 2 × 283

T1 = 566 K

Converting to °C gives;

T1 = 293 °C

B) We want to find the temperature T2 (in degrees Celsius) at which the molecules will have twice the rms speed, 2v_rms.

Formula for kinetic energy is also;

KE = ½mv²

Thus;

½m(v_rms)² = (3/2)kT

v_rms = √(3kT/m) - - - (eq 1)

When rms speed is 2v_rms, we have;

½m(2v_rms)² = (3/2)kT2

v_rms = √(¾kT2/m) - - - (eq 2)

Thus;

√(3kT/m) = √(¾kT2/m)

Square both sides to get;

(3kT/m) = (¾kT2/m)

4T = T2

T2 = 283 × 4

T2 = 1132 K

Converting to °C gives;

T2 = 859 °C

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A projectile is launched with an initial velocity of 25 m/s at an angle of 30° above the horizontal. The projectile reaches maximum height at point p then falls to point a, which is 65 m below the cliff. What is the horizontal distance that it travels (labeled x in the diagram)

Answers

Answer:

x ≈ 56 m

Explanation:

vertical initial velocity =[tex]v_{0y}(t)[/tex] = 25 m/s* sin(30°)= 12.5 m/s

height = h

[tex]h =v_{0y}t+\frac{at^{2}}{2} \\\\65m = 12.5m/s*t + \frac{9.8m/s^{2}*t^{2}}{2} \\\\t=2.584 s[/tex]

t- time is found solving quadratic equation.

horizontal velocity = [tex]v_{0x}=25m/s*cos(30^{o})=21.65 m/s[/tex]

Horizontal velocity is constant, so distance [tex]x=v_{0x}*t =21.65 m/s *2.584 s=55.9 = 56 m[/tex]

The horizontal distance travelled by the object will be "111.07 m".

According to the question,

[tex]u_v = u sin\Theta[/tex]

    [tex]= 25 \ sin30^{\circ}[/tex]

    [tex]= 12.5 \ m/s[/tex]

As we know,

→  [tex]s = ut +\frac{1}{2} at^2[/tex]

 [tex]-y = u_vt-\frac{1}{2}gt^2[/tex]

[tex]-65 =12.5t - \frac{1}{2}\times 9.8t^2[/tex]

   [tex]0 = 4.9t^2-12.5t-65[/tex]

    [tex]t = \frac{12.5 \pm \sqrt{(-12.5)^2-4\times 4.9\times (-65)} }{2\times 4.9}[/tex]

       [tex]= 5.13 \ s[/tex]

hence,

The horizontal distance will be:

→ [tex]u_x = ucos \Theta[/tex]

       [tex]= 25 cos 30^{\circ}[/tex]

       [tex]= 21.65 \ m/s[/tex]

or,

→ [tex]x = 21.65\times 5.13[/tex]

     [tex]= 111.07 \ m[/tex]

Thus the response above is right.  

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An electric field is = (400 N/C) for x > 0 and = (–400 N/C) for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x axis such that one end is at x = +15 cm and the other is at x = –15 cm. What is the net outward flux through the entire cylindrical surface?

Answers

Answer:

0 Nm²/C

Explanation:

We calculate the total flux Ф = ∫E.dA for -15 < x < 0 and 0 < x < 15

which is the flux through the curved sides + the flux through its ends.

So, Ф₁ = ∫₋₁₅⁰E.dA + ∫₀¹⁵E.dA this is the flux through the curved sides of the cylinder

Ф₁ = ∫₋₁₅⁰EdAcos0 + ∫₀¹⁵EdAcos0 (since the area is parallel to the electric field)

Ф₁ = ∫₋₁₅⁰EdA + ∫₀¹⁵EdA  

Ф₁ = E∫₋₁₅⁰dA + E∫₀¹⁵dA

= E∫₋₁₅⁰2πrdx + E∫₀¹⁵2πrdx

= E2πr∫₋₁₅⁰dx + E2πr∫₀¹⁵dx

= E2πr[x]₋₁₅⁰ + E2πr[x]¹⁵₀

= E2πr[0 -(-15)] + E2πr[15 - 0]

= (-400 N/C)2πr[15]  + (+400 N/C)2πr[15]

= -800 N/Cπ(0.30 m )[0.15 m]  + 800 N/Cπ(0.30 m)[0.15]

= (-36επ  + 36επ)  Nm²/C = 0

the flux through the ends is

Ф₂ = ∫₋₁₅⁰E.dA + ∫₀¹⁵E.dA

= ∫₋₁₅⁰EdAcos0 + ∫₀¹⁵EdAcos0 (since the area is parallel to the electric field)

= ∫₋₁₅⁰EdA + ∫₀¹⁵EdA

= E∫₋₁₅⁰dA + E∫₀¹⁵dA

= (-400 N/C)πr² + (400 N/C)πr²

= 0

So, the total flux equals Ф = Ф₁ + Ф₂ = 0 + 0 = 0 Nm²/C

A 4-ohm and 2-ohm resistor are wired in PARRELL. What is the TOTAL resistance?

Answers

Answer:

1.33ohms

Explanation: The formula for resistance in a parallel circuit is :

1/Rt = 1/R1+1/R2

Where Rt represents total resistance, R1 = 4ohms and R2 = 2ohms

1/Rt = 1/4+1/2

1/Rt = 1+2/4

1/Rt = 3/4

Rt = 4/3

Rt= 1.33ohms

Hence the total resistance is 1.33ohms

which forces causes oppositely charged particles to attract each other?

Answers

Answer:

Electromagnetism causes like-charged objects to repel each other and oppositely charged objects to attract each other. The electromagnetic force binds negative electrons to the positive nuclei in atoms and underlies the interactions between atoms.

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According to www.whitehouse.gov, the government had about $2.1 trillion in receipts and $2.8 trillion in outlays (expenses) for 2013. Does this represent a surplus or a deficit? What was the ratio of the government's expenses to it's receipts for 2013? Express this as a decimal rounded to the thousandths place. Solve this equation. Explain your reasoning.1/2+3/4=9 . a. What is effective communication? ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions. What caused conflict between the North and the South when Kansas andNebraska prepared to become states?A. Many Southerners believed that the new states would try tosecede.B. Many Southerners argued that no new states should be added.C. Many Northerners hoped the new states would ban slavery.D. Many Northerners worried that Republicans would control thestates. A farmer wants to plant peas and carrots on no more than 300 acres of his farm. If x represents the number of acres of peas and y represents the number of acres of carrots for solution (x, y), then which is a viable solution? (25, 100) (380, 160) (150, 145) (100, 250) A fishing lodge wants to build a new boat ramp. The slope of the ramp must be 8 to the horizontal. The total height of the bank is 2.8 m. How long must the sloping section of the ramp be? Give your answer to the nearest centimetre. Question 1(Multiple Choice Worth 4 points)(05.08A)The figure below shows three quadrilaterals on a coordinate grid31130Which of the following statements is true about the three quadrilaterals?M and O are similar and congruent. O and N are similar and congruentM and N are similar but not congruent.M and O are similar but not congruent, 2. Which of the following is a type of government in which the people choose their leaders and determinegovernment policy?a monarchyb. democracyC. confederationd. unitary system The Soft Company has provided the following information after year-end adjustments: Allowance for doubtful accounts was $11,000 at the beginning of the year and $30,000 at the end of the year. Accounts receivable were $80,000 at the beginning of the year and $420,000 at the end of the year. Accounts written off as uncollectible totaled $21,000. Net sales totaled $2,720,000. Sales discounts were $102,000.How much was Soft's bad debt expense for the year?a. $1,200b. $19,800.c. $21,000.d. $40,800 what is a recent example of gender based violence One strategy in a snowball fight is to throw a snowball at a high angle over level ground. Then, while your opponent is watching that snowball, you throw a second one at a low angle timed to arrive before or at the same time as the first one. Assume both snowballs are thrown with a speed of 26.0 m/s. The first one is thrown at an angle of 67.5 with respect to the horizontal. At what angle should you throw the second snowball to make it hit the same point as the first? Hi All,What are good Science Questions for:- Chemical Reactions- Space- EcologyPlease help. Please help me with answer I need help HELP?! ASAP PLEASE! !!! What is the product?(x - 3)(2x2 - 5x + 1)N273 - 2 + 16x + 32x3 - 11X2 + 16x + 3O 2x3 - 11x2 + 16x - 3O 2x3 - x2 + 16x - 3 What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)? plz help me with these 2 problems ill mark u brainliest Plllzzzzzzzz hellppppp need this in 15 minutes will put brainliest 1911THE MATCHThere never was a time when the world was without fire, but there was a time when men did not know how to kindle fire; and after they learned how to kindle one, it was a long, long time before they learned how to kindle one easily. In these days we can kindle a fire without any trouble, because we can easily get a match; but we must remember that the match is one of the most wonderful things in the world, and that it took men thousands of years to learn how to make one. Let us learn the history of this familiar little object, the match.Fire was first given to man by nature itself. When a forest is set on fire by cinders from a neighboring volcano, or when a tree is set ablaze by a thunderbolt, we may say that nature strikes a match. In the early history of the world, nature had to kindle all the fires, for man by his own effort was unable to produce a spark. The first method, then, of getting fire for use was to light sticks of wood at a flame kindled by natureby a volcano, perhaps, or by a stroke of lightning. These firebrands were carried to the home and used in kindling the fires there. The fire secured in this way was carefully guarded and was kept burning as long as possible. But the flame, however faithfully watched, would sometimes be extinguished. A sudden gust of wind or a sudden shower would put it out. Then a new firebrand would have to be secured, and this often meant a long journey and a deal of trouble.In 1827, John Walker, a druggist in a small English town, tipped a splint with sulphur, chlorate of potash, and sulphid of antimony, and rubbed it on sandpaper, and it burst into flame. The druggist had discovered the first friction-chemical match, the kind we use to-day. It is called friction-chemical because it is made by mixing certain chemicals together and rubbing them. Although Walker's match did not require the bottle of acid, nevertheless it was not a good one. It could be lighted only by hard rubbing, and it sputtered and threw fire in all directions. In a few years, however, phosphorus was substituted on the tip for antimony, and the change worked wonders. The match could now be lighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rub it. It would ignite when rubbed on any dry surface, and there was no longer any sputtering. This was the phosphorus match, the match with which we are so familiar. How does the author develop the idea that humanitys early fire-starting tools may have been dangerous? Please explain on three to five sentences, using evidence from the text to support your answer. Problems and Applications The many identical residents of Whoville love drinking Zlurp. Each resident has the following willingness to pay for the tasty refreshment: Quantity Willingness to Pay (Dollars) First bottle 5 Second bottle 4 Third bottle 3 Fourth bottle 2 Fifth bottle 1 Further bottles 0 The cost of producing a bottle of Zlurp is $1.50, and the competitive suppliers sell it at this price. (The supply curve is horizontal.) Each Whovillian will consume ______ bottles and receive a consumer surplus of _______$ . Producing Zlurp creates pollution. Each bottle has an external cost of $1. Taking this additional cost into account, total surplus per person in the allocation you previously determined decreases to _______$ . Cindy Lou Who, one of the residents of Whoville, decides on her own to reduce her consumption of Zlurp by 1 bottle. Cindy's consumer surplus (ignoring the cost of pollution she experiences) is now ______$ . Her decision_____ total surplus in Whoville by _______$ . Mayor Grinch imposes a $1 tax on each bottle of Zlurp. Consumption per person is now _______bottles. This yields a per-person consumer surplus of ______$ not including the cost of pollution, a per-person external cost of _____$ , and government revenue of_______ $ per person. Total surplus per person is now ______$ as a result of this policy. (Hint: Total surplus is equal to consumer surplus minus the external cost of pollution plus government revenue.) Based on your calculations, you_____ support the mayor's policy because it ______welfare compared to before the tax.