what is the momentum of a toy car traveling at 9.46m/s if it has a mass of 3.68kg

Answers

Answer 1

The momentum of the toy car is 34.8128 kg m/s after traveling at 9.46m/s and if it has a mass of 3.68kg.

Momentum is defined as the product of an object's mass and velocity. The formula for momentum is given as p = mv, where p is momentum, m is mass, and v is velocity. In this case, the toy car has a mass of 3.68 kg and is traveling at a velocity of 9.46 m/s. To calculate its momentum, we simply plug these values into the formula:

p = mv

p = 3.68 kg x 9.46 m/s

p = 34.8128 kg m/s

Therefore, the momentum of the toy car is 34.8128 kg m/s. This means that the toy car has a large amount of momentum due to its high velocity, which could make it difficult to stop or change its direction quickly.

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Related Questions

HF Radio Blackouts The Empirical HIDIVE model suggests that the HF blackout intensity varies as a function of f-1.24, where fis frequency and COS0.⁹(0), where is solar zenith angle. If a radio blackout occurs at a maximum of 15 MHz at 10 AM Eastern Daylight Time over Laurel, Maryland on September 10th, then what is the maximum frequency affected by the blackout and at what location? [An approximate answer within 0.1 MHz and 1° lat/lon will be accepted.

Answers

The maximum frequency affected by the blackout is approximately 7.943 MHz, and the location of the blackout is Laurel, Maryland, which is located at approximately 39.09°N, 76.85°W.

HF radio blackouts are a phenomenon that impacts High Frequency (HF) radio waves by causing them to become inaudible or distorted. The severity of an HF radio blackout is determined by a number of factors, including the frequency of the radio waves, the time of day, and the solar zenith angle.

Let us calculate the maximum frequency affected by the blackout: According to the model, the frequency of the radio wave is inversely proportional to the power of 1.24. So we can write:f∝(P)-1.24, Where f is the frequency of the radio wave, and P is the power of the blackout. So if a blackout occurs at 15 MHz, then we can find the power of the blackout:P=15^(1.24)P=26.98

So the power of the blackout is approximately 26.98.Next, we need to calculate the maximum frequency affected by the blackout. We can do this by using the formula: f∝(P)-1.24, where f is the frequency of the radio wave, and P is the power of the blackout. So if the power of the blackout is 26.98, then we can find the frequency of the radio wave:f=26.98^(-1/1.24)f=7.943MHz

So the maximum frequency affected by the blackout is approximately 7.943 MHz. Now let us find the location of the blackout: According to the question, the blackout occurred at 10 AM Eastern Daylight Time over Laurel, Maryland on September 10th. So the location of the blackout is Laurel, Maryland, which is located at approximately 39.09°N, 76.85°W.

Therefore, the maximum frequency affected by the blackout is approximately 7.943 MHz, and the location of the blackout is Laurel, Maryland, which is located at approximately 39.09°N, 76.85°W.

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not sure on what to write in the blank spots.

not sure on what to write in the blank spots.

Answers

Answer:

Explanation:

I hope this was all you wanted. Everything else seems finished correctly.

not sure on what to write in the blank spots.

What process forms the Mid-Atlantic Ridge?
A. Radioactive decay
B. Seafloor spreading
C. Radiometric dating
D. Sediment formation

Answers

Answer:

B. seafloor spreading

Explanation:

divergent motion between the Eurasian and North American, and African and South American Plates. ... In this way, as the plates move further apart new ocean lithosphere is formed at the ridge and the ocean basin gets wider

geological society

A ball is thrown up into the air. When it falls half-way back, what kind of energy does it have?

Answers

Answer:

it's gravitational potential energy would have converted to kinetic energy half way back when it's falls

The strength of the electric field 0.5 m from a 6 µc charge is _______ n/c. (use k = 8.99 × 109 n•meters squared per coulomb squared and round answer to the nearest whole number.) 215760 539400 697976 512356

Answers

This question involves the concepts of electric field strength and distance.The strength of the electric field is "215760 N/C".

What is the Strength of Electric Field?

The electric field strength due to a charge is given by the following formula:

\(E=\dfrac{kq}{r^2}\)

where,

E = Electric Field Strength = ?

k = Colomb's constant = 8.99 x 10⁹ N.m²/C²

q = magnitude of charge = 6 μC = 6 x 10⁻⁶ C

r = distance = 0.5 m

Therefore, putting the values in the formula;

\(E=\dfrac{(8.99\times 10^9)(6\times 10^{-6})}{0.5}\)

E = 215760 N/C

Thus the strength of the electric field is "215760 N/C".

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How do I solve this problem? A cannonball is launched diagonally with an initial velocity of 26.0 m/s. Determine all unknowns initial velocity: blank m/s initial horizontal velocity: blank m/s initial vertical velocity: blank m/s The initial velocity is 26 m/sHow do I solve for the other 2?

How do I solve this problem? A cannonball is launched diagonally with an initial velocity of 26.0 m/s.

Answers

Answer:

initial velocity = 26 m/s

initial horizontal velocity = 10.58 m/s

initial vertical velocity = 23.75 m/s

Explanation:

The initial velocity is the given velocity, so:

initial velocity = 26.0 m/s

Then, the horizontal and vertical velocity can be calculated using the trigonometric functions cosine and sine respectively. So:

\(\begin{gathered} \text{horizontal velocity = }26\times\cos (66)=10.58\text{ m/s} \\ \text{vertical velocity = 26}\times\sin (66)=23.75\text{ m/s} \end{gathered}\)

Therefore, the answers are:

initial velocity = 26 m/s

initial horizontal velocity = 10.58 m/s

initial vertical velocity = 23.75 m/s

Draw a picture of the path and use to answer question. An athlete walks 8 meters East , 2 meters South, 8 meters West, and finally 2 meters North. What is the total distance traveled?

Answers

The total distance travelled by the athlete is 20 meters.

What is distance?

Distance refers to the space covered between two points.

Distance measures all the space covered in all the paths of travel without a reference to a specific direction.

The total distance travelled by the athlete is the sum of all the distances covered by the athlete.

The total distance travelled = 8 + 2 + 8 + 2

The total distance travelled = 20 meters

In conclusion, distance is a measure of the space between two points.

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under what condition do the values of gravitational force and gravitational constant become same or equal​

Answers

Answer:

The values of gravitational force and gravitational constant become same or equal when product of masses involved equals the square of distance between them.

Based on what you learned about light, select all of the correct statements from the following list.
A. Light can act both as a wave and a particle.
B. High frequency photons carry more energy than long wavelength photons.
C. All electromagnetic waves travel at the speed of light.
D. A photon is a particle of light.

Answers

Compared to long wavelength photons, high frequency photons are more energetic. Light speed applies to all electromagnetic waves. Light is capable of both wave and particle behavior. The light we see is comprised of photon. (B,C,A,D)

You may be harmed by electromagnetic waves.

Body tissue heating is the primary result of radiofrequency electromagnetic radiation. There is no question that very high levels of electromagnetic fields can be unhealthy for the body when exposed for a brief period of time.

What does electromagnetic mean?

These are all collectively referred to as electromagnetic radiation. When the electric and magnetic fields are oscillating, the waves of energy are known as electromagnetic waves. From high to low frequency, scientists categorize them based on their frequency or wavelength.

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How would you calculate the momentum of the egg right before its collision with the ground?

Answers

Answer:

mass X velocity

Explanation:

The momentum of a body is the product of its mass and velocity

2. An object of mass 20 kg is lifted to a 25 m building. How much potential energy is stored on the mass? (Take g= 10 m/s)​

Answers

Explanation:

potential energy = mass × gravity force × height

=20 × 10 × 25

= 5000 joules

prove that acceleration due to gravity is independent to the mass of falling object.

Answers

Answer:

The value of acceleration due to gravity is independent of mass of the body.

Explanation:

Let us consider the mass of the object as m and mass of earth as M

Therefore, force between the object and earth would be given by: F = GMm/d²

This force is equal to the weight of the object, i.e. mg

Thus;

mg = GMm/d²

g = GM/d²

Therefore, the value of acceleration due to gravity is independent of mass of the body.

What is a source of a Sound wave??? ​

Answers

Answer:

A sound wave is the pattern of disturbance caused by the movement of energy traveling through a medium such as air, water, or any other liquid or solid matter, as it propagates away from the source of the sound. The source is some object that causes a vibration, such as a ringing telephone, or a person's vocal chords.

Explanation:

Determine the angular velocity ω of the telescope as it orbits around the Sun.

Answers

The JWST is postioned about 1.5 million kilometers from the earth on the side facing away from the sun

HELP 100 POINTS Why don't birds get electrocuted when they land on an electric wire?

Answers

Answer: There are not able to be electricity

Explanation: Essentially, this means that the electricity is able to pass through the birds without damaging them.

When a bird is on a wire, their feets are at the same electrical potential, so most of electrons have no where to move at in the body.

explain the effect of ph on pnp and how that effects it's absorption spectra.

Answers

The pH-dependent protonation and deprotonation of PNP modulate the molecule's absorption spectra, resulting in a shift in the wavelength of maximum absorption, which can be observed as a change in color.

The effect of pH on p-nitrophenol (PNP) and its absorption spectra is primarily attributed to the protonation and deprotonation of the molecule. PNP is a weak acid with a phenolic hydroxyl group that can donate a proton. In acidic conditions (low pH), the phenolic group of PNP remains protonated. As the pH increases, the phenolic group starts deprotonating, resulting in the formation of the PNP anion.The absorption spectra of PNP are significantly influenced by the protonation state. In its protonated form, PNP exhibits absorption maxima at shorter wavelengths (lower energy), typically around 300-320 nm.

This absorption is due to the conjugation of the aromatic ring and the nitro group, which leads to a bathochromic shift (redshift) in the absorption spectrum.As the pH increases and PNP deprotonates, the absorption spectra shift towards longer wavelengths (higher energy). The deprotonated PNP anion shows absorption maxima around 400-420 nm. This shift occurs because deprotonation disrupts the conjugation, altering the electron delocalization in the molecule and causing a hypsochromic shift (blueshift) in the absorption spectrum.

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When a golf ball is hit, it travels at 41 meters per second. The mass of a golf ball is 0.045kg. Calculate the kinetic energy of the golf ball.​

Answers

Answer:

  75.645 J

Explanation:

The kinetic energy is related to the mass and velocity by the formula ...

  KE = 1/2mv²

For the given mass of 0.045 kg, and velocity of 41 m/s, the kinetic energy is ...

  KE = 1/2(0.045 kg)(41 m/s)² = 75.645 J

__

The unit of energy, joule, is a derived unit equal to 1 kg·m²/s².

do all of the planets orbit in the same direction when viewed from bove the earth's north pole

Answers

No, not all planets orbit in the same direction when viewed from above the earth's north pole.  

The eight planets in the solar system orbit the sun in the same plane. All the planets orbit in the same direction as the sun, which is counterclockwise when viewed from above the solar system. This is also known as the prograde rotation or the direct orbit.However, there are a few exceptions to this rule. Two planets, Venus and Uranus, have a different rotational axis than the rest of the planets.

This means that they appear to be rotating clockwise or retrograde, when viewed from above their respective poles.Venus rotates slowly and in the opposite direction of its orbit, causing the sun to rise in the west and set in the east. Uranus, on the other hand, has an extreme axial tilt, causing it to appear to be rotating on its side, with its poles almost parallel to the plane of the solar system.In summary, not all planets orbit in the same direction when viewed from above the earth's north pole. While the majority of planets in the solar system have a prograde rotation or direct orbit, Venus and Uranus are exceptions to this rule and have a retrograde rotation.

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Consider the two vectors C⃗→ and D⃗→ defined as follows: C⃗=(2.35,−4.27) and D⃗=(−1.30,−2.21) What is the resultant vector R⃗=C⃗+D⃗? Give the x and y components of R⃗→ separated by a comma.

Answers

The resultant of the two vectors C and D is determined as 6.56.

Resultant of the two vectors

The resultant of the two vectors is calculated as follows;

Sum of vector in X -direction

∑X = 2.35 - 1.3 = 1.05

Sum of vector in Y -direction

∑Y = -4.27 - 2.21 = -6.48

Resultant vector = √[(1.05)² + (-6.48)²] = 6.56

Thus, the resultant of the two vectors C and D is determined as 6.56.

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Create the following configurations of three or more charges. Draw the electric field lines for each situation. Avoid intersecting your electric field lines. Note that Diagram F is similar to Diagram E but has five negative charges piled onto the same location

Create the following configurations of three or more charges. Draw the electric field lines for each

Answers

Once the consecutive Charges square measure opposite in Sign like in between two same charges field lines square measure faint, however, once they're opposite in magnitude then field lines are closure and field intensity is greatest.x

How to illustrate the electric field lines

4. In F, the negative charge is five times greater than E, therefore, the line is going to be a lot curved compared to E, and field density is going to be higher just in the case of F compare to E.

5. Two same charges repel one another, therefore, field lines additionally repeal one another.

Once the consecutive Charges square measure opposite in Sign like in between two same charges field lines square measure faint, however, once they're opposite in magnitude then field lines are closure and field intensity is greatest.x

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Create the following configurations of three or more charges. Draw the electric field lines for each
Create the following configurations of three or more charges. Draw the electric field lines for each

the major factor in the development of a constitution is​

Answers

Answer:

Below are some of the important dates that led to the creation of the Constitution: 1775 — The Revolutionary War between the Colonies and Britain begins. ... 1781 — The last battle of the Revolutionary War takes place; the 13 states set up a federal government under laws called the Articles of Confederation.

Explanation:

please give me a heart

Choose the option that best suit the question .

An inclined plane of angle Ɵ, acting as a simple machine has a velocity ratio :
(a) sinƟ
(b) 1/sinƟ
(c) cosƟ
(d) 1/cosƟ
(e) sinƟcosƟ

Answers

Answer:

(b) 1/sinƟ

Explanation:

A simple machine can be defined as a type of machine with no moving parts but can be used to perform work.

Basically, a simple machine allows for the transformation of energy into work. The six simple machines are; lever, wedge, pulley, screw, wheel and axle, and inclined plane.

Inclined plane is a simple machine set at an angle and then used to lift an object.

In Physics, the velocity ratio of a simple machine is calculated as a ratio of the distance moved by the effort to the vertical distance through which a load is raised.

Mathematically, the velocity ratio of an inclined plane of angle Ɵ, acting as a simple machine is given by the formula;

Velocity ratio (V.R) = 1/sinƟ

Basically, an increase in the angle of inclination (measured in degrees) of an inclined plane increases its velocity ratio.

how many bullet points should you aim for on each slide to be effective in communicating your point?

Answers

Maximum six bullet points you should aim for on each slide to be effective in communicating your point.

Why are bullet points important?

Bullet points are important as they help to keep the data simple looking, lucid and well-organized in your communication.

In order to keep the information concise and to keep the slides from looking cluttered make sure there are only six bullet point.

In general, to effectively communicate your point, you should follow the simple rule which states that' six by six guideline'.

According to this rule, each slide shall have six bullets and  each bullet line shall consist of six words.

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calculate the kinetic energy of a 45 gram golf ball travelling at: (a) 20. m/s, (b) 40. m/s, (c) 60. m/s.

Answers

Kinetic energy is the energy of an object that is in motion. It can be calculated by using the formula KE = (1/2)mv², where m is the mass of the object and v is the velocity of the object.

What is Kinetic energy?

Kinetic energy is the energy of motion. When an object is in motion, it has kinetic energy. This type of energy is the result of an object's mass and velocity. The kinetic energy of an object is equal to one half of its mass multiplied by the square of its velocity. Kinetic energy can be converted into other forms of energy, such as electrical energy and thermal energy. Kinetic energy can also be transferred between objects when they collide. Kinetic energy is used in many everyday activities, such as running and cycling.

(a) KE = (1/2) (45 g) (20 m/s)2 = 18000 g m2/s2 = 18 J
(b) KE = (1/2) (45 g) (40 m/s)2 = 72000 g m2/s2 = 72 J
(c) KE = (1/2) (45 g) (60 m/s)2 = 162,000 g m2/s2 = 162 J.

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If you went to a fireworks show in Atlanta you would see the fireworks explode before you heard them go BOOM. However if astronauts are
watching the same fireworks show from space, they would see them explode, but never hear them. Why is this true?

O Sound waves travel too slowly through a vacuum for the astronauts to hear them.

O Sound waves travel faster than light waves, but they cannot travel through a vacuum.

O Sound waves travel slower than light waves and they cannot travel through a vacuum.

O Sound and light waves cannot travel through a vacuum.

Answers

If you went to a fireworks show in Atlanta you would see the fireworks explode before you heard them go BOOM. However if astronauts are

watching the same fireworks show from space, they would see them explode, but never hear them because  Sound waves travel slower than light waves and they cannot travel through a vacuum. Hence option C is correct.

Sound waves are a form of energy transmission method that uses adiabatic loading and unloading to move across a material. Acoustic pressure, particle velocity, particle displacement, and acoustic intensity are all important parameters for defining acoustic waves. Acoustic waves have a particular acoustic velocity that relies on the medium through which they move. Acoustic waves include audible sound from a speaker (waves that travel at the speed of sound through air), seismic waves (ground vibrations that travel through the earth), and ultrasound used for medical imaging (waves that travel through the body). Sound waves cannot travel through vacuum.

Hence option C is correct.

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You are designing a spaceship, and you want it to have an artificial gravity of 9.8 m/s2 at the center of mass of an average human. The average human has a center of gravity that is about 90 cm above their feet. Through other engineering constraints, you have determined the rotational speed of the ship to be 0.2 rad/s. What should the radius of the ship be (in m)? (Round your answer to the nearest whole number!)

Answers

Answer:

The tangential acceleration is 0 m/s².

Explanation:

Answer:

The tangential acceleration is 0 m/s².

Explanation:

A particle is moving with a constant speed of 25 m/s in 90 m radius circle what is the angular speed in radian per second about the center of a circle

Answers

Answer:

the angular speed in radian per second about the center of a circle is 0.278 rad/s

Explanation:

Given;

Linear velocity v = 25m/s

Radius of circular path r = 90m

The linear velocity of the particle can be expressed as a function of the angular speed as;

Linear velocity = angular speed × radius of path

v = wr

w = v/r

Where;

v = linear velocity

r = radius

w = angular speed

Substituting the given values, we have;

w = 25/90 = 0.278 rad/s

the angular speed in radian per second about the center of a circle is 0.278 rad/s

How can two stars with the same mass be different?

Answers

Two stars with the same mass number can be different in their luminosity, life time and distance with respect other stars and planets.

What are stars?

Stars are spatial objects with brightness and are made of gases and dust. The major part of stars are hydrogen and helium gases. There are trillions of stars for each galaxies in the universe.

The energy formed inside the stars is from  the nuclear fusion of hydrogen nuclei forming helium nuclei releases tones of heat and light energy. The light and heat energy produced from each stars differ.

The luminosity or brightness of stars with same mass will be different. The life time of each stars also differ from other stars.

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A +2.0-nC point charge is placed at one corner of a square (1.5 m on a side), and a -3.0-nC charge is placed on a corner diagonally away from the first charge. What is the magnitude of the electric field at either of the two unoccupied corners? *

Answers

With the charges of the square as +2.0-nC point charge and -3.0-nC point charge, The magnitude of the electric field  is mathematically given as

Et= 14.42 N/c

What is the magnitude of the electric field at either of the two unoccupied corners?

Question Parameters:

A +2.0-nC point charge is placed at one corner of a square (1.5 m on a side), and a -3.0-nC charge

Generally, the equation for the electric field is mathematically given as

E = k*q1/a^2

Therefore

E1= 9*10^9*2*10^-9/1.5^2

E1= 8 N/c

For E2

E2= 9*10^9*3*10^-9/1.5^2

E2= 12 N/c

In conclusion, The magnitude of the electric field at either of the two unoccupied corners

\(Et = \sqrt{E1^2 + E2^2}\)

Et= 14.42 N/c

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What is the current in a 160 V circuit if the resistance is 2 ohms?

Answers

Answer:

Question: What is the current in a 160V circuit if the resistance is 2Ω?

Answer:

Voltage ( V ) = 160V

Resistance ( R ) = 2Ω

Current ( I ) = ?

By Ohms law

⇒ V = IR

⇒ 160 = I × 2

⇒ I = 160 / 2 = 80A

\rule{200}2

Question: What is the current in a 160V circuit if the resistance is 20Ω?

Answer:

Voltage ( V ) = 160V

Resistance ( R ) = 20Ω

Current ( I ) = ?

By Ohms law

⇒ V = IR

⇒ 160 = I × 20

⇒ I = 160 / 20 = 8A

\rule{200}2

Question: What is the current in a 160V circuit if the resistance is 10Ω?

Answer:

Voltage ( V ) = 160V

Resistance ( R ) = 10Ω

Current ( I ) = ?

By Ohms law

⇒ V = IR

⇒ 160 = I × 10

⇒ I = 160 / 10 = 16A

\rule{200}2

Question: Based on questions 2, 3, and 4, what happens to the current in a circuit as the resistance decreases? Increases?

Answer:

From ohms law

⇒ I = V / R

If we take Voltage as proportionality constant

⇒ I ∝ 1 / R

So, we can conclude that current is inversely proportional to resistance.

From 2, 3, 4 questions we can conclude that,

If resistance increases, current decreases and when resistance decreases, current increases.

\rule{200}2

Question: What voltage is required to move 6A through 5Ω?

Answer:

Resistance ( R ) = 5Ω

Current ( I ) = 6A

Voltage ( V ) = ?

By Ohms law

⇒ V = IR

⇒ V = 6 × 5

⇒ V = 30V

\rule{200}2

Question: What voltage is required to move 6A through 10Ω?

Answer:

Resistance ( R ) = 10Ω

Current ( I ) = 6A

Voltage ( V ) = ?

By Ohms law

⇒ V = IR

⇒ V = 6 × 10

⇒ V = 60V

\rule{200}2

Question:What voltage is required to move 6A through 20Ω?

Answer:

Resistance ( R ) = 20Ω

Current ( I ) = 6A

Voltage ( V ) = ?

By Ohms law

⇒ V = IR

⇒ V = 6 × 20

⇒ V = 120V

\rule{200}2

Answer:

80 amps

Explanation:

V = IR

160 volts = I(2 ohms)

I = 80 amps

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Jack was in charge of the hunt and there would be time to get to the mountainOnce, following his father from Chatham to Devonport, they had lived in a cottage on the edge of the moors. . . .When you went to bed there was a bowl of cornflakes with sugar and cream. And the booksthey stood on the shelf by the bed, leaning together with always two or three laid flat on top because he had not bothered to put them back properly. They were dog-eared and scratched. There was the bright, shining one about Topsy and Mopsy that he never read because it was about two girls; there was the one about the magician, which you read with a kind of tied-down terror, skipping page twenty-seven with the awful picture of the spider; there was a book about people who had dug things up, Egyptian things; there was The Boys Book of Trains, The Boys Book of Ships. Vividly they came before him; he could have reached up and touched them, could feel the weight and slow slide with which The Mammoth Book for Boys would come out and slither down . . . Everything was all right; everything was good-humored and friendly.How are the universal themes "the loss of innocence and "the relationship between civilization and nature best developed in this passage?Golding uses description to explain why Ralph is different from Jack.Golding uses the boys actions to show their difficulties with adjusting to life on the island.Golding uses conflict to emphasize the different perspectives of Ralph and Jack.Golding uses internal thoughts to highlight how the boys lives have changed on the island. For or an enzyme that obeys michaelis-menten kinetics, what is the reaction velocity, v, observed at the following substrate concentrations? express the result as a percentage of vmax.a. If (S) = KM, then V/Vmax = ____%b. If (S) = 2.00 KM, then V/Vmax = ____% To correct myopia (nearsightedness) requires ___________ lenses; to correct hyperopia (farsightedness) requires _____________ lenses to correct. A ball rolling down an incline has its maximum kinetic energy at:____.A) the top. B) halfway down. C) three-quarters of the way down. D) the bottom. 1. If 4.75x = 12.35, what is the value of x? 2. What is 3x +2+ 4x - 1 after combining like terms? TRUE OR FALSE to design a recursive function, you must determine the limiting conditions. Load the laundry into the washing machine and close the door tightly. Make sure not tooverload the machine. Next, slide open the detergent drawer, add detergent, and thenslide the drawer shut. Select the wash setting (whites or darks), temperature (hot, warm,or cold), and load size (small, medium, or large). Then press the start button. Thewashing machine will stop automatically when the wash cycle is complete.Which author's purpose is suggested by the text?to teach readers how to operate a washing machineto convince readers to take better care of their clothes please write an random search function in r for one-dimensional input, named random_search1(). (a) the function takes the following arguments: The model for long-term average temperature f (x), in degrees Celsius, at the Willburn airport is represented by the equation f of x is equal to 5 times sine of the quantity x over 12 end quantity plus 14 and 5 tenths period If x represents the month of the year, in which months will the temperature be 17C? x equals pi over 6 plus 2 times pi times n and x equals 5 times pi over 6 plus 2 times pi times n x equals pi over 6 plus 24 times pi times n and x equals 5 times pi over 6 plus 24 times pi times n x = 2 + 2n and x = 10 + 2n x = 2 + 24n and x = 10 + 24n