Two wave pulses move toward each other along a rope. two small triangular crests moving toward each other. which diagram shows the resulting wave when they cross at point x? a straight line. a triangular crest. a rectangular crest. a triangular trough.

Answers

Answer 1

The triangular crest. shows the resulting wave when they cross at a point x. The meeting point of two waves is known as wave interference ia x.

What is wave pulse?

A wave pulse is a short, non-periodic wave that is formed by a single energy input rather than a continuous or repeated energy input.

Wave interference is the result of multiple waves interacting. There are two types of interference: constructive and destructive.

The relative displacement of the waves is the difference between the two. Wave beats are frequently caused by wave interference.

Hence the triangular crest. shows the resulting wave when they cross at a point x.

To learn more about the wave pulse refer to the link;

https://brainly.com/question/1291549

Answer 2

Answer:

B

Explanation:

Got it right on edge


Related Questions

Is distance a vector quantity

Answers

Explanation:

Nope, displacement is a vector quantity, whereas distance is the scalar (magnitude) of the total displacement.

Hope this clears things up :))

Why is it more common to see a lunar eclipse than a solar eclipse?.

Answers

Answer:

Lunar eclipses are more widely visible because Earth casts a much larger shadow on the Moon during a lunar eclipse than the Moon casts on Earth during a solar eclipse.

A lunar eclipse happens on the moon. Anybody on Earth's night side can see it.

A solar eclipse happens on Earth's surface. Only the people inside the small end of the moon's shadow can see it.

A car initially travels at 10 m/s when passing the "acceleration line". The car then accelerates Q. at 8m/s2 until reaching a final velocity of 40 m/s. What is the car's displacement during the acceleration?
answer choices
3.75 m
93.75 m
100 m
1590 m​

Answers

[tex]\text{Given that,}\\\\\text{Initial velocity,}~ u = 10 ~ms^{-1}\\\\\text{Final velocity,}~ v = 40 ~ ms^{-1}\\\\\text{Acceleration,}~ a = 8 ~ ms^{-2}\\ \\\text{Time ,}~ t =?\\\\\text{Displacement, }~ s = ?\\\\\text{We know that,}\\\\a= \dfrac{v-u}{t}\\ \\\implies t = \dfrac{v-u}{a} = \dfrac{40-10}{8} = \dfrac{30}{8} = 3.75 ~sec \\\\s=\left(\dfrac{u+v}2\right)t=\left(\dfrac{10+40}2 \right)3.75 = \left(\dfrac{50}{2}\right)3.75 = 25 \times 3.75 = 93.75~m[/tex]

[tex]\text{Hence, the displacement of the car is 93.75 m}[/tex]

Hello people ~
The frequency of subsonic sound is
(a) more than 20 Hz
(b) 100 Hz
(c) less than 20 Hz
(d) more than 20,000 Hz

Answers

less than 20 Hz

The frequency of subsonic sound is less than 20 Hz

subsonic sound refers to a sound which has a wave that travels slower than the speed of sound.

frequency of audible sound: 20 Hz to 20,000 Hz

Thus subsonic sound < 20 Hz

Answer:

less than 20Hz

Explanation:

Human ears can hear sounds coming in range of 20Hz to 20000Hz or 20kHz.Low or beneath is not audible.

Bats can hear below 20Hz ,so they use this to travel in air

Pure substances can be made of atoms that are attracted to each other or atoms that are not attracted to each other. Which type of pure substance can create elaborate structures? (1 point)

Atoms that are attracted to each other because the bonds that form between them can support the creation of the structure.

Atoms that are attracted to each other because they will mix together to form a mixture with a different structure.

Atoms that are not attracted to each other because they will form bonds with each other and create a larger structure.

Atoms that are not attracted to each other because they will stay still and end up laying on top of each other. ​​​​

Answers

The type of pure substances that can create elaborate structures is :

( D ) Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.

What is an Elaborate structure ?

An elaborate structure is a complex structure formed by the combination of different unrelated parts. Atoms that are un attracted to each other are made of different parts therefore when they come together they will lay on each other, forming an elaborate structure which is complex in nature.

Hence we can conclude that the type of pure substance that can create elaborate structures is Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.

Learn more about elaborate structure: https://brainly.com/question/508618

The voltage across the primary winding is 6000 v. if the primary winding has 50 coils and the secondary winding has 20 coils, what is the secondary voltage? 120 v 2400 v 15,000 v 120,000 v

Answers

if the primary winding has 50 coils and the secondary winding has 20 coils then the secondary  voltage will be equal to 2400V

What is voltage?

Voltage is defined as the potential difference which apply a force on the charge to flow in the circuit.

This is a question on transformer. A transformer is a device used to step up or step down current and voltage. It consists of the primary windings and secondary windings. Each windings possesses both coil and amount of voltage across each coil.

The transformer formula is

[tex]\dfrac{V_S}{V_P}=\dfrac{N_S}{N_P}[/tex]

Where;

Vs is the voltage across the secondary coil

Vp is the voltage across the primary coil

Ns is the number of turn in the primary coil

Np is the number of turns in the primary coil.

According to the question,

Vs is unknown

Vp is 6000V

Ns is 20turns

Np is 50turns

Substituting the values in the formula given

[tex]\dfrac{V_S}{6000}=\dfrac{20}{50}[/tex]

Vs = 2400V

Therefore the secondary voltage is 2400V

To know more about voltage follow

https://brainly.com/question/1176850

Answer:

2400

Explanation:

edge 2022

Calculate the average force with which the Sun pulls the Earth. It will help to know
that rsun_Earth = 9.4E9 m.

Answers

Answer:

7.9 x 10^21 pound-force

Explanation:

The average distance between the Earth and sun is 150 trillion meters, or 1.5 x 10^11 meters. The mass of the sun is 1.99 x 10^30 kilograms, while the Earth weighs in at 6.0 x 10^24 kilograms. The gravitational constant is 6.67 x 10^-11 meter^3 / (kilogram - second^2). So the Earth and sun pull on each other with a force equal to 3.52 x 10^22 newtons. The newton is a unit of force equal to a kilogram-meter/second^2. One newton is equal to 0.22 of the rarely used English unit called pound-force, so 3.52 x 10^22 newtons is 7.9 x 10^21 pound-force.

Don’t actually comment on this unless you are willing to help!

Describe how we receive colors from the various object observed in our world. Discuss how we receive colors from objects... https://brainly.com/question/27082331

Answers

the link doesn’t work!

What is the equation for finding the amount of inertia in forces and motion? Explain how you solve that equation.​

Answers

Answer:

Inertia = angular momentum / angular velocity

if predators and habitat do not change, which shade of frogs will have the greatest fitness

Answers

Answer:

The dark green frogs will

Explanation:

because they blend more within the night than any other frog or animal out there

I hope this helps

If predators and habitat do not change, the dark green frogs will have the greatest fitness.

What is predators?

Predators are organisms that hunt and kill other organisms for food. The organisms that are consumed by the predators are known as the prey.

The dark green frogs will have greatest fitness because they blend more within the night than any other frog or animal out there.

To know more Predators about

https://brainly.com/question/12410124

#SPJ2

Two planets are orbiting a star in a distant galaxy the first has a semimajor axis of 150 x 10^6 km an eccentricity of 0. 20 and a period of 1. 0 earth years

Answers

For two planets orbiting a star in a distant galaxy, having the first semimajor axis of 150 x 10^6 km,  the period of the second plane  is mathematically given as

T=2.2earth year

What is the period of the second planet?

Generally, the equation for the time period  is mathematically given as

[tex]T^{2} \appox a^{3}[/tex]

Therefore, for planet one

[tex]1^2\approx (150 x 10^6)^3[/tex]

In conclusion, For planet 2

T^2=(250/150)^3

T=√4.632

T=2.2earth year

Read more about Time

https://brainly.com/question/4931057

The period of the second planet for two planets circling a star in a faraway galaxy with a first semimajor axis of 150× 10⁶ km. The time period of the planet will be 2.2 earth years.

What is the time period of the revolution?

The time period of the revolution is the time required to complete one revolution. It is guven by T. It is measured in seconds.

The equation of the time period is found as;

[tex]\rm T = \frac{250}{150} ^3 \\\\ T= \sqrt{4.632} \\\\ T=2.2 \ earth \ year[/tex]

Hence the time period of the planet will be 2.2 earth years.

To learn more about the time period of the revolution refer to the link;

https://brainly.com/question/15228034

#SPJ4

15. Which of the following describes the law of
conservation of energy?
A. Energy cannot be created or destroyed.
B. Energy can only be released through
transformation.
C. When energy is conserved, it always
changes form.
D. Energy increases when it is transferred
from one object to another.

Answers

Answer:

Energy cannot be created or destroyed (it can only change forms).

Explanation:

This is the definition of the law of conservation of energy.

What property of an object determines how much inertia it has.

Answers

Answer:

Inertia is that quantity which depends solely upon mass. The more mass, the more inertia. Momentum is another quantity in Physics which depends on both mass and speed.

Explanation:

amy bought 3 body lotions and 7 body spray for 80 jessica bought 6 body lotion and 3 body spray for 63.75 how much does one body spray cost

Answers

Answer:

Each body spray cost $ 21.25

Explanation:

Hydroelectric dams generate electricity by a. water impoundment, in which dam operators control the rate of water flow to turbines. b. converting the kinetic energy of the water impounded behind a dam into potential energy. c. using generators that are placed on the bottom of a river. d. using the energy of the river to produce steam. e. using run-of-the-river systems, in which turbines are placed into the natural water flow.

Answers

Hydroelectric dams generate electricity makings use of run-of-the-river systems, in which turbines are placed into the natural water flow.

What are Hydroelectric dams?

Generally, Hydroelectric dams produce electricity by making use of turbines and generators, in a process where mechanical energy is produced when moving water turns the rotors of a turbine.

In conclusion, Hydroelectric dams use run-of-the-river systems, in which turbines are placed into the natural water flow.

Read more about Power

https://brainly.com/question/10203153

3
A car travels at an average speed of 60 km/h for 15 minutes.
How far does the car travel in 15 minutes?
D
900 km
C 240 km
4.0 km
A
В B 15 km

Answers

Answer:

(Option B)The car travels 15km in 15 minutes.

Explanation:

Notice that the speed is written using units of km/h and the time is written using units of minutes.

Convert the time interval to hours. Remember that 1 hour equals 60 minutes:

15 min = 15 min × [tex]\frac{1h}{60~min}=0.25h[/tex]

The distance d that a particle travels during a time t if it moves at an average speed v is given by the formula:

d = v · t

Replace v=60km/h and t=0.25h to find the distance traveled by car:

[tex]d=(60\frac{km}{h}) ~x~(0.25h)=15km[/tex]

Therefore, the car travels 15km in 15 minutes.

Hope this helps!

If you have any queries please ask.

What will happen to the fringe spacing if the wavelength of the light is decreased?.

Answers

Answer:

The formula is the form -

m λ = d sin Θ

As the wavelength λ is decreased sin Θ will also decrease.

One can see from the derivation that as the wavelength, being considered,

is decreased the dispersion will also decrease.

A particular circuit is made up of a battery, a switch, a buzzer, and wires connecting the components. All of the components
e in working order, but the buzzer does not make noise. Which statement explains this observation? (1 point)
The circuit lacks a power source.
The load cannot convert electrical energy
The switch is open
The conductors are not attached

Answers

If the buzzer in this connection fails to make a sound, it follows that the switch or the key is open.

What is a circuit?

A circuit is a path designed for the flow of current. We have to take note of the fact that the switch or key must be closed before electric current can pass through the circuit and the buzzer will make a sound.

Therefore, were the buzzer in this connection fails to make a sound, it follows that the switch or the key is open.

Learn more about a switch: https://brainly.com/question/9431503?

Answer:

C
- CONNECTIONS

--------------------------------

much love! <33

A 80kg astronaut is training in human centrifuge to prepare for a launch. The astronaut uses the centrifuge to practice having a 3.16g force (3.16 times his own weight) on his back. The radius is 12m.
Attached is a picture of the question.

Answers

The answers on the model of the human centrifuge ready for the launch to each question of the statement are listed below:

a) A force of 2479.210 newtons is acting on the astronaut's back.

b) A net centripetal force of 2479.210 newtons is acting on the astronaut.

c) The centripetal acceleration of the astronaut is 30.990 meters per square second.

d) The astronaut has a linear speed of approximately 19.284 meters per second.

e) The angular speed of the astronaut is 1.607 radians per second (15.346 revolutions per minute).

How to apply Newton's laws to analyze a process in a human centrifuge training

The human centrifuge experiments a centripetal acceleration when it reaches a peak angular speed. In this question we must apply Newton's laws of motion and concepts of centripete and centrifugal forces to answer the questions. Now we proceed to answer the questions:

How much force is acting on the astronaut's back?

By the third Newton's law the astronaut experiments a rection force (F), in newtons, which has the same magnitude to centrifugal force but opposed to that force. The magnitude of the force acting on the back of the astronaut is equal to:

[tex]F = 3.16\cdot (80\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F = 2479.210\,N[/tex]

A force of 2479.210 newtons is acting on the astronaut's back. [tex]\blacksquare[/tex]

What is the net centripetal force on the astronaut?

By the second and third Newton's laws we know that the net centripetal force on the astronaut is equal to the magnitude of the force found in the previous question. Thus, a net centripetal force of 2479.210 newtons is acting on the astronaut. [tex]\blacksquare[/tex]

What is the astronaut's centripetal acceleration?

The centripetal acceleration of the astronaut (a), in meters per square second, is found by dividing the result of the previous question by the mass of the astronaut (m), in kilograms:

[tex]a = \frac{F}{m}[/tex]   (1)

If we know that F = 2479.210 newtons and m = 80 kilograms, then the centripetal acceleration of the astronaut is:

[tex]a = \frac{2479.210\,N}{80\,kg}[/tex]

[tex]a = 30.990\,\frac{m}{s^{2}}[/tex]

The centripetal acceleration of the astronaut is 30.990 meters per square second. [tex]\blacksquare[/tex]

What is the astronaut's linear speed?

By definition of uniform circular motion, we have the following formula for the linear velocity of the astronaut (v):

[tex]v = \sqrt{a\cdot r}[/tex]   (1)

Where r is the radius of the human centrifuge, in meters.

If we know that [tex]a = 30.990\,\frac{m}{s^{2}}[/tex] and [tex]r = 12\,m[/tex], then linear velocity of the astronaut is:

[tex]v = \sqrt{\left(30.990\,\frac{m}{s^{2}} \right)\cdot (12\,m)}[/tex]

v ≈ 19.284 m/s

The astronaut has a linear speed of approximately 19.284 meters per second. [tex]\blacksquare[/tex]

What is the astronaut's angular speed?

The angular speed of the astronaut (ω), in radians per second, is found by the following kinematic relationship:

[tex]\omega = \frac{v}{R}[/tex]   (1)

If we know that v ≈ 19.284 m/s and R = 12 m, then the angular speed is:

[tex]\omega = \frac{19.284\,\frac{m}{s} }{12\,m}[/tex]

ω = 1.607 rad/s (15.346 rev/m)

The angular speed of the astronaut is 1.607 radians per second (15.346 revolutions per minute). [tex]\blacksquare[/tex]

To learn more on centripetal forces, we kindly invite to check this verified question: https://brainly.com/question/11324711

A long thing bar of copper is heated evenly along it's length

Answers

Answer:

It becomes less heavy

Explanation:

Hopefully it helps!

A bungee cord with a spring constant of 800 StartFraction N over m EndFraction stretches 6 meters at its greatest displacement. How much elastic potential energy does the bungee cord have?

Answers

Answer:

14,400

Explanation:

I guessed and I think it's right Soo

Hello, I need help. Due right now


A 1383-kg car moving south at 11.2m / s is struck by a 1732-kg car moving east at 31.3m/s. After the collision, the cars are stuck together. How fast and in what direction do they move immediately after the collision? Define the system as the two cars. ​

Answers

Answer: See below

Explanation:

[tex]\\ \mathrm{Given:} \\\mathrm{Mass \ of \ first \ car}$\left(m_{1}\right)=1383 \mathrm{~kg}$ \\ Velocity $\left(\overrightarrow{V_{1}}\right)=-11.2\ {\math} \mathrm{m} / \mathrm{s}$\\ Mass of second car -$\left(m_{2}\right)=1732 \mathrm{~kg}$\\ Velocity $\left(\vec{v}_{2}\right)=31.3 {\math} \mathrm{m} / \mathrm{s}$[/tex]

[tex]m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2}=\left(m_{1}+m_{2}\right) \vec{v} \\1383(-11.2 {\math})+1732(31.3 {\math}) \\=(1383+1732) \vec{v} \\-15489.6 {\math}+54211.6 {\math}=3115 \vec{v} \\ \vec{v}=(17.4 {\math}-4.972 {\math}) \ \mathrm{m/s}[/tex]

[tex]\text { So magnitude } \vec{|v|} =\sqrt{(17.4)^{2}+(-4.972)^{2}} \\ =\sqrt{327.605} \\ =18.099 \mathrm \ {m/s} \\[/tex]

[tex]\text { Direction } \\\theta=\tan ^{-1}\left(\frac{-4.972}{17.4}\right) \\\theta=-15.945^{\circ}\end{gathered}[/tex]

Therefore, both cars move with a velocity of 18.099 m/s in the direction of 15.945° downward from the x-axis (east)

Answer:

Explanation:

Apply conservation of momentum in N-S direction:

Initial momentum: 1383*(-11.2) + 1732*(0) = -15490

Final momentum: (1383 + 1732) * Final N-S velocity = -15490

Final velocity = 1549/(1383+1732) = -4.97 m/s (-ve means South)

Repeat the same for E-W direction:

Initial momentum: 1383*(0) + 1732*(31.3) = 54211.6

Final momentum: (1383 + 1732) * Final E-W velocity = 54211.6

Final velocity = 54211.6/(1383+1732) = 17.4 m/s (+ve means East)

Combining, the final velocity = sqrt (-4.97^2 + 17.4^2) = 18.10 m/s

at direction of arctan(17.4/4.97) = 74 degree South of East.

Minnie sota hits the end of a bar 1. 2 m long with a hammer. Sketch the standing wave on the bar for the following situations. The speed of waves in the bar is 6,500. M/s

Answers

(a) The wavelength of the wave for the fundamental mode is 2.4 m.

(b) The fundamental frequency of the wave is 2,708.33 Hz.

Wavelength of the wave for fundamental mode

The wavelength of the wave for the fundamental mode is calculated as follows;

Node to Node, N → N = λ/2

L = λ/2

λ = 2L

λ = 2 x 1.2

λ = 2.4 m

Fundamental frequency of the wave

The fundamental frequency of the wave is calculated as follows;

f = v/λ

f₀ = v/2L

f₀ = (6500)/(2 x 1.2)

f₀ = 2,708.33 Hz

The diagram of the wave for the fundamental mode is in the image uploaded.

Learn more about wavelength here: https://brainly.com/question/10728818

Why was the light peppered moth able to flourish prior to the Industrial Revolution?
O by blending in with the trees
o the ability to fly
O an abundance of food
O fewer predators

Answers

Answer:

B. by blending in with the trees

Answer:

B. by blending in with the trees

Explanation:

Which Tesla would be faster?
(A) Stock 2022 Tesla Roadster
(B) Tesla Model S PLAID with space X package

Answers

The answer is (B) hope this helps !!

When do things move faster? Day or night?​

Answers

I believe most activity takes place during daylight hours.So the life move fast in day. If we talk about the -Sound. At night , the air is denser due to humidity (obviously nights are cooler). sound requires medium to travel and so DENSER the medium,FASTER the sound travels.

I believe at night because during the day i feel like more things are happening so thing may be slowed down

what 1columb=?
please help​

Answers

Explanation:

it's a unit used to measure charge (C)

1C=1000millicoulombs

1millicoulomb=1000microcoulumbs

Answer:

1 column - 3 x 10⁹ start columb

= 1 / 10 e mu

column is a bigger unit so in practice the smaller unit micro column is also used the smaller unit of charge

1 Milli column - 10-³

1 micro column 10-⁶

COLUMB LAW-

the force of attraction or illusion between the two point charge is directly proportional to the product of the magnitude and inversely proportional to the square of distance between them the direction of force along line joining the two charge

hope it's helpful

Cars enter a car wash at a mean rate of 33 cars per half an hour. What is the probability that, in any hour, exactly 22 cars will enter the car wash? round your answer to four decimal places

Answers

Answer:Cars enter a car wash at a mean rate of 4 cars per half an hour. 

Explanation:

The probability that, in any hour, exactly 22 cars will enter the car wash will be 0.0920.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

The  mean rate of car is,[tex]\rm \lambda = 66 \ car/hour[/tex]

[tex]P(x=K) = \frac{8^k e^{-8}}{k\!}\\\\P(x=22) = \frac{66^{22} e^{-22}}{22\!}\\\\ P(x=22)=\frac{0.000000000000691\times 1.07\times 10^{40}}{22} \\\\\ P(x=22)=0[/tex]

Hence the probability that, in any hour, exactly 22 cars will enter the car wash will be 0

To learn more about the probability link is given below.

https://brainly.com/question/795909

#SPJ4

What happens to force when two charges move away?

Answers

If the distance between the two charges is doubled, the attraction or repulsion becomes weaker.

Explanation:

Diffraction explains

Diffraction explains

being able to hear sounds from outside a room throughout the whole room

creating images to adjust for eye problems

allow for the formation of rainbows

transmit images over long distances

Answers

An  example of diffraction is being able to hear sounds from outside a room throughout the whole room.

What is diffraction?

The term diffraction has to do with the bending of waves around an obstacle which causes the waves to spread out as they emerge on the other side.

One typical example of diffraction is being able to hear sounds from outside a room throughout the whole room.

Learn more about diffraction: https://brainly.com/question/12290582

Other Questions
write the standard form of the equation of the circle with the given center and radius. Center (2.-1), r= 3 according to the map below, in which of the following regions were slave populations primarily concentrated around 1860? What was true about the Russian Revolution? A. It caused a decrease in immigration to the United States. B. It restored a monarchy. C. It caused a fear of foreign influence in the United States. D. It resulted in a world financial crisis. These are not in order, Can u please put them In order subtract, need help again! thanks a lot. 15 points do all pls please help me here? If line segment AB is 400%, what is the length of a line segment that is 100%? The cold adapted coniferous trees that dominate here have the following key adaptations: (select all that apply) question 7 options: conical shape to helps the snow to distribute more evenly across the tree and also to fall to the ground and prevent branches from breaking pear shape to helps the snow to distribute more evenly across the tree and also to fall to the ground and prevent branches from breaking thin needles have less surface area and waxy cuticles to avoid water loss in the dry winds and in winter when most available water is frozen thick needles have less surface area and waxy cuticles to avoid water loss in the dry winds and in winter when most available water is frozen very shallow roots compared to other trees like we have here in ohio. very deep roots compared to other trees like we have here in ohio. Correct the one error. there are so many too choose from! What is missing in the sentence fragment below?At the beginning of the week after breakfast and before school.____________________________________________________________________0 a subject0 a subject and a verb0 a complete thought0 a verb 10. Jacinto Corado rented a minivan for 4 days in Tampa, Florida, for$88.00 a day plus $0.20 a mile for all miles over 200. He drove 75, 120,85, and 140 miles on the days rented. He paid a CDW fee of $18.50 perday and $61.83 for gasoline. Choose the correct answer. The themes of many folk tales are believed to be universal, which means that ____________________.A) they are about astrologyB) they are about the origins of the universeC) they have just one verseD) they are true for everyone How does this passage characterize Wali Dd?Once upon a time there lived in India a poor old man whose name was Wali Dd. He had no hair, and was sometimescalled Wali Dd the Bald. He lived alone in a little mud hut, quite far from the town. He had no family, and made hisliving by cutting the jungle grass and selling it as food for the horses and cows round about. He earned only a fewpennies a day, but he was a very simple old man and needed very little. From this small income he was able to save halfa penny every week, while spending the rest on food and clothing.1)foolish and irresponsible2)silly and gullible3)greedy and calculating4)humble and responsible Using the data below, what conclusion could you draw?CarCaraCarsMassi) Trial Time (3) Trial 2 Time(s).Trial 3 Time (s) Average Time (s)15.54.749474.820.23.323.12879595.65.8 which of the following solutions is a good buffer system? Read the quote from Turner to the right. According to this passage, what does it mean to "conquer" the land? to bypass it in favor of better lands farther away to make it productive and profitable to destroy its original inhabitants No longer is it a question of how to avoid or cross the Great Plains and the arid desert. It is a question of how to conquer those rejected lands by new method of farming and by cultivating new crops from seed collected by the government and by scientists from the cold, dry steppes of Siberia, the burning sands of Egypt, and the remote interior of China. DONE. -F. J. Tummer About 11,000 species of Lepidoptera (butterflies and moths) have been identified in the United States. Only 679 of them are butterflies. What is the percentage of the Lepidoptera species in the United States are butterflies? *Science+Math* b^2 4ac if a = 2, b = 9, and c = 4 A small car with mass of 0.800 kg travels at a constant speedon the inside of a track that is a vertical circle with radius 5.00m. If the normal force exerted by the track on the car when itis at the bottom of the track is 25 N,a) What is the normal force on the car when it is at the (i)top, (ii) rightmost and (iii) leftmost point of the track?b) What is the speed of the car as it travels around thevertical circle?