which moment corresponds to the minimum kinetic energy of the system? view available hint(s)for part b which moment corresponds to the minimum kinetic energy of the system? a b c d

Answers

Answer 1

Option A correlates to the system's least kinetic energy, according to the supplied statement.

Simply put, what is kinetic energy?

Kinetic energy is the strength a thing possesses as a product of motion. To drive an object, a charge must be supplied to it.  Energy is transmitted to the object once the work is accomplished, at which point it goes at a new, consistent rate.

What are some instances of kinetic energy?

Kinetic energy, which may be seen in the motion of an object, particles, or group of particles, is the fuel of motion. Any moving object, such as a woman walking, a baseball being thrown, or a piece of food falling from a table, uses kinetic energy.

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Which Moment Corresponds To The Minimum Kinetic Energy Of The System? View Available Hint(s)for Part

Related Questions

A boat is traveling at an initial velocity of 2.7 meters per second in the positive direction. It accelerates at a rate of 0.15 meters per second squared for 12 seconds. What is the final velocity of the boat? ​

Answers

Answer:

\(\boxed {\boxed {\sf 4.5 \ m/s \ in \ the \ positive \ direction}}\)

Explanation:

We are asked to find the final velocity of the boat.

We are given the initial velocity, acceleration, and time. Therefore, we will use the following kinematic equation.

\(v_f= v_i + at\)

The initial velocity is 2.7 meters per second. The acceleration is 0.15 meters per second squared. The time is 12 seconds.

\(v_i\)= 2.7 m/s a= 0.15 m/s²t= 12 s

Substitute the values into the formula.

\(v_f = 2.7 \ m/s + (0.15 \ m/s^2)(12 \ s)\)

Multiply the numbers in parentheses.

\(v_f= 2.7 \ m/s + (0.15 \ m/s/s * 12 \ s)\)

\(v_f = 2.7 \ m/s + (0.15 \ m/s *12)\)

\(\v_f=2.7 \ m/s + (1.8 \ m/s)\)\(v_f=2.7 \ m/s + (1.8 \ m/s)\)

Add.

\(v_f=4.5 \ m/s\)

The final velocity of the boat is 4.5 meters per second in the positive direction.

electromagnetic waves can travel through a vacuum. true or false

Answers

Electromagnetic waves differ from mechanical waves in that they do not require a medium to propagate. This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space. ... This proved that radio waves were a form of light!

Electromagnetic waves can travel through vacuum as well as through mediums. Therefore, the statement is true. The waves which are unable to pass through  vacuum is called mechanical waves .

What are electromagnetic waves ?

Electromagnetic waves are energetic waves which are associated with a coupled magnetic field and electric field. The electromagnetic spectrum of this waves is the arrangement in the order of increasing frequency or decreasing wavelength.

Radio waves, microwaves, infrared, visible light, UV rays , X- rays and gamma rays are the electromagnetic waves. This order describes the increase in frequency.

Electromagnetic waves can travel trough vacuum. The waves which can pass only through a medium is called mechanical waves. Hence, the statement is true.

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1.00 kg of ice at -24.0°C is placed
in contact with a 1.00 kg block of a
metal at 5.00°C. They come to
equilibrium at -8.88°C. What is
the specific heat of the metal?

Answers

1.00 kg of ice at -24.0°C is placed in contact with a 1.00 kg block of a metal at 5.00°C. They come to equilibrium at -8.88°C.

We can use the principle of conservation of heat to solve this problem. The heat lost by the metal must equal the heat gained by the ice.

The heat lost by the metal is given by

Q1 = m1c1ΔT1

Where m1 is the mass of the metal, c1 is its specific heat, and ΔT1 is the change in temperature.

The heat gained by the ice is given by

Q2 = m2c2ΔT2

Where m2 is the mass of the ice, c2 is its specific heat, and ΔT2 is the change in temperature.

Since the two objects come to thermal equilibrium, we can set Q1 equal to Q2

m1c1ΔT1 = m2c2ΔT2

Solving for c1, we get

c1 = m2c2ΔT2 / (m1ΔT1)

By putting these values we get

c1 = (1.00 kg)(2.06 kJ/kg·K)(-24.0°C - (-8.88°C)) / [(1.00 kg)(5.00°C - (-8.88°C))]

c1 = 0.902 kJ/kg·K

Hence, the specific heat of the metal is 0.902 kJ/kg·K.

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True of false

The graduated cylinder is empty before using the overflow container to fined volume

Answers

Answer:

True

Explanation:

the weight of an object is measured in air to be 7N the object is then immersed in water and its apparent weight is measured to be 4N determined the buoyant force and state whether or not the object float

Answers

The buoyant force can be determined by subtracting the apparent weight of the object in water from its weight in air. In this case, the buoyant force would be 7N - 4N = 3N.

Based on the information provided, since the buoyant force (3N) is less than the weight of the object (7N), the object will not float.

Floating occurs when the buoyant force is greater than or equal to the weight of the object.

In this scenario, the object will experience a net downward force, indicating that it will sink rather than float in water.

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a 3000 kg car accelerates uniformly from 15 m/s to 60 m/s in 5 seconds. determine the net force on the car during this time ​

Answers

Answer:

F = 2700 N

Explanation:

Given that,

Mass of a car, m = 3000 kg

Initial velocity, u = 15 m/s

Final velocity, v = 60 m/s

Time, t = 5 s

We need to find the net force on the car during this time ​. The net force on an object is given by the product of mass and acceleration. So,

F = ma

a is acceleration, a = (v-u)/t

\(F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{3000\times (60-15)}{5}\\\\F=27000\ N\)

So, 27000 N is the net force on the car during this time .

A thin flexible gold chain of uniform linear density has a mass of 17.1 g. It hangs between two 30.0 cm long vertical sticks (vertical axes) which are a distance of 30.0 cm apart horizontally (x-axis), as shown in the figure below which is drawn to scale.
Evaluate the magnitude of the force on the left hand pole.

A thin flexible gold chain of uniform linear density has a mass of 17.1 g. It hangs between two 30.0

Answers

The magnitude of the force on the left-hand pole is mathematically given as

f'=0.167N

Q=45 degrees

What is the magnitude of the force on the left-hand pole.?

Generally, the equation for Force is  mathematically given as

\(\frac{mg}{sin \theta}\)

Therefore

\(F=\frac{17.1*10^{-3}*9.8}{sin45}\)

F=0.237N

Considering horizontal axis or plane

f'-fcos=0

Therefore

f'=0.237*cos45

f'=0.167N

In conclusion, the slope

\(tan\theta= 30/30\\\\tan\theta=1\\\\\theta=45\)

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PLEASE HELP ME I WILL GIVE BRAINLY

Select five short rope exercises and describe how they are done.

Answers

Answer:

Jumping battle slams - just move the rope up and down

Alternating jump wave - jump and move the rope side to side

Alternating wide circles - move the rope in a circle position

Jumping jacks

Squat to sholder

Explanation:

The guy above me is correct give him Brainliest

Three bulbs are connected in series with a battery and a switch. Do all of the bulbs go out when the switch is opened?

A)yes
B) no
C) it is impossible to know

Answers

Answer is letter A all three bulbs will go out!

What are the systems of units? Explain each of them.​

Answers

THERE ARE COMMONLY THREE SYSTEMS OF UNIT. THEY ARE:-

CGS System- (Centimeter-Gram-Second system) A metric system of measurement that uses the centimeter, gram and second for length, mass and time.

FPS System- (Foot–Pound–Second system).

The system of units in which length is measured in foot , mass in pound and time in second is called FPS system. It is also known as British system of units.

MKS System- (Meter-Kilogram-Second system) A metric system of measurement that uses the meter, kilogram, gram and second for length, mass and time. The units of force and energy are the "newton" and "joule."

Extra water is absorbed from undigested food in the _____.
small
intestine
stomach
large intestine
rectum

Answers

Answer: large intestine

Explanation:

mouth grind and moisten food

saliva break down starch into sugar

esophagus transport food from mouth to stomach

stomach churn food, break down food with enzymes

liver add bile to break down fat

pancreas add enzymes to digest protein

gallbladder store bile

small intestine absorb food through villi

large intestine absorb extra water and remove waste from body

The Earth orbits the Sun at a speed of 30 km/s. At that speed it completes one path around the Sun every year. Of course, as that happens we are heading toward a different place in space constantly, always accelerating toward the Sun to stay on the circular path. Suppose at a paritcular instant we are headed in the direction of a distant star and we measure the speed of the light from that star as it arrives on Earth. In the vacuum of space we would measurea. 299,792,458 m/sb. 299,792,428 m/sc. 299,792,488 m/sd. 0 m/s

Answers

Answer:

a. 299,792,458 m/s

Explanation:

Since the speed of light in a vacuum is invariant and has the value of 299,792,458 m/s, we would measure this value of 299,792,458 m/s for the speed of light from the star as it arrives on Earth.

A pizza delivery driver drives 5 km in 3 minutes to deliver his pizza. How fast is he driving? Did I do this correctly?

A pizza delivery driver drives 5 km in 3 minutes to deliver his pizza. How fast is he driving? Did I

Answers

Given:

Distance (d)= 5 km

time (t)= 3 minutes

Apply the formula:

Speed (v) = distance / time

v= d/t

v= 5 km / 3 min = 1.6667 km/min

Answer: 1.6667 km/min

What is the period of a wave that has a frequency of 3 Hz?
A. 30 s
B. 0.3 s
C. 300 S
D. 3 S

Answers

Answer:

B.) 0.3s

Explanation:

The period of a wave that has a frequency of 3 Hz is 0.3s. Hence option B is correct.

What is wave ?

Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform.

There are two types of the wave longitudinal wave and transverse wave.

Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave. Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a transverse wave.

Time period of the wave is inverse to the frequency of the wave.  

T = 1/f

T = 1/3

T = 0.333 s

Hence option B is correct.

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Which two statements are true about redox reactions?
A.
They are single-replacement reactions.
B.
An acid gains an electron lost by a base.
C.
Electrons are both gained and lost.
D.
All types of reactions are redox reactions.

Answers

Answer:

C. Electrons are both gained and lost

Answer:

A. They are single-replacement reactions.

C.Electrons are both gained and lost.

Explanation:

.........................

Neon has 3 naturally occurring isotopes, Neon-20, Neon-21, and Neon-22. Neon's average atomic mass on the periodic table is 20.179 amu. Based on this information which isotope is most abundant? Explain why abundance of an isotope matters when calculating the average atomic mass of an isotope. ​

Answers

Neon - 20 is the most abundant. Abundance matters as the average atomic mass has to take into account the amount of one isotope. The more abundance the more mass, the closed the average atomic mass is to the mass of that one isotope

explain the Kepler s law of planetary motion​

Answers

keller’s law of planetary motion is the law of planetary motion

Section 14.1 Assessment
Reviewing Concepts
1. What conditions must exist in order for a
force to do work on an object?
2.
What formula relates work and power?
3. How much work is done when a vertical force
acts on an object moving horizontally?
Critical Thinking
4. Applying Concepts A desk exerts an
upward force to support a computer resting
on it. Does this force do work? Explain.
6. Comparing and Contrasting You carry
two heavy bags of groceries upstairs to your
kitchen. Will you do more work on the bags if
you carry them up one at a time? Explain.
Math Practice
7. How much work does a 25-newton
force do to lift a potted plant from the
floor to a shelf 1.5 meters high?
8. You lift a large bag of flour from the
floor to a 1-meter-high counter, doing
100 joules of work in 2 seconds. How
much power do you use to lift the bag
of flour?
5. Predicting Two cars have the same weight,
but one of the cars has an engine that provides
twice the power of the other. Which car can
make it to the top of a mountain pass first?
Which car does more work to reach the pass?
swer assessment questions 1-8 on page 416 (above) in the following space.

Answers

The engine that provides twice more power will make it first

The car with the twice more power does more work

What is the formula?

When a vertical force acts on an object moving horizontally, the work done by the force depends on the angle between the force and the displacement of the object. If the force is perpendicular to the displacement, no work is done, since the force does not contribute to the displacement of the object.

The work done is the same as the gravitational potential energy and this is;

W = F h

F  = Force

h = height of the object

Thus;

W = 25 * 1.5

= 37.5 J

Then;

Power = Work done/Time

= 100 J/ 2 s

= 50 W

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What happens when Earth rotates on its axis and how long does it take

Answers

Answer:

You get Day and Night

It takes 24 hour

Answer:

Explanation:

The Earth's orbit makes a circle around the sun. At the same time the Earth orbits around the sun, it also spins.Since the Earth orbits the sun and rotates on its axis at the same time we experience seasons, day and night, and changing shadows throughout the day.It only takes 23 hours, 56 minutes and 4.0916 seconds for the Earth to turn once on its axis.

Can you list the offensive position on a flag football team?

Answers

Answer:

yes u can flag football has everything that pad football has so you can enlist on being offensive position but you have to play like you want that position

Explanation:

calculate the electric potential energy in a capacitor that stores 9.40 x 10 to the negative 10 C of charge at 50.0 V

Answers

The electric potential energy stored in the capacitor is 4.70 x 10^-8 Joules.

The electric potential energy stored in a capacitor is given by the formula:

U = (1/2) * C * V^2

where U is the potential energy in Joules, C is the capacitance in Farads, and V is the voltage across the capacitor in Volts.

In this case, we are given that the capacitor stores 9.40 x 10^-10 C of charge at 50.0 V. However, we are not given the capacitance value. Therefore, we cannot calculate the potential energy directly using the above formula.

To find the capacitance value, we can use the formula:

C = Q / V

where Q is the charge stored in the capacitor and V is the voltage across the capacitor.

Substituting the given values, we get:

C = 9.40 x 10^-10 / 50.0

= 1.88 x 10^-11 F

Now we can use the formula for electric potential energy to find the energy stored in the capacitor:

U = (1/2) * 1.88 x 10^-11 * (50.0)^2

= 4.70 x 10^-8 J

Therefore, the electric potential energy stored in the capacitor is 4.70 x 10^-8 Joules.

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In a Particular experiment, 9.0g of water was evaporated when a Current Of 2.0 A as Passed through the heating Coil for 630 seconds. The resistance of the heating coil is 8.0ohms Calculate the specific latent heat of Vapourisation of water assuming that no heart escape from the Flask​

Answers

The latent heat of vaporization is  2240 J/g

What is the latent heat of vaporization?

The latent heat of vaporization is the amount of heat energy required to transform a unit mass of a substance from a liquid phase to a gas phase at a constant temperature and pressure. This process involves breaking the intermolecular bonds between the molecules of the liquid and converting them into gas, which requires energy.

Given that;

I^2Rt = mL

(2)^2 * 8 * 630 = 9 * L

L = (2)^2 * 8 * 630/9

L = 2240 J/g

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Alice and Bob are bicycle-racing, on a two-mile track. Bob rides the first mile at 50 mph,
and the second mile at 71 mph. Calculate the time in minutes) that he travels the two
miles.

Answers

Answer:

2.04 minutes

Explanation:

He travels the first mile at 50 mph so:

\(60/50=1.2\)

so it takes 1.2 minutes to travel each mile when going 50 miles per hour

and for the second mile he travels at 71 mph so:

\(60/71=0.84\) (this answer is rounded)

so it takes him 0.84 minutes to travels each mile while going 71 mph.

If you ad them together his total times while biking two miles was 2.04 minutes.

g A thin uniform film of oil that can be varied in thickness covers a sheet of glass of refractive index 1.52. The refractive index of the oil is 1.64. Light of wavelength 555 nm is shone from air at normal incidence on the film. Starting with no oil on the glass, you gradually increase the thickness of the oil film until the first interference maximum in the reflected light occurs. What is the thickness of the oil film at that instant

Answers

Answer:

The right solution is "84.09 nm".

Explanation:

The given values are:

Refractive index of glass,

= 1.52

Refractive index of oil (n),

= 1.64

Wavelength (λ),

= 555 nm

Now,

The thickness of the film (t) will be:

= \(\frac{\lambda}{4n}\)

= \(\frac{555}{4\times 1.65}\)

= \(\frac{555}{6.6}\)

= \(84.09 \ nm\)

Which TWO statements describe the ocean floor giving brainliest please help

Which TWO statements describe the ocean floor giving brainliest please help

Answers

Answer:

A and B.

Explanation:

Answer C is wrong - there are no tall trees underwater

Answer D is wrong, there are mountain chains underwater due to plate tectonics.

In the attachment there is a density column where there is colour


Question: tell me why is the red at the bottom of the density column if it is the least dense

In the attachment there is a density column where there is colourQuestion: tell me why is the red at

Answers

Answer: The red at the bottom represents the base of the tube, not the red liquid.

Explanation:

The densest materials have more weight per unit of volume.

This means that those elements will always flow to the bottom of the containers, like the one in the image.

The red liquid being the least dense one, can not go to the bottom by its own means.

There could be some cases, like:

The red liquid when solid, is way denser than in its liquid phase, and then the red at the bottom could be solid phase of the red liquid, but there is no mention of this in the question, then we can discard this idea.

Another trivial idea is that the red liquid at the bottom could be trapped by some kind of wall, but again, there is no mention of this, so again we can discard this idea.

The thing that makes sense is that the red at the bottom represents the base of the tube and not the red liquid.

47. A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static friction between the man’s shoes and the merry-go-round is , how far from the axis of rotation can he stand without sliding?

Answers

Without falling off the merry-go-round, the guy can stand up to a distance of roughly 1.42 m from the axis of rotation.

What is the rotational moment formula?

This equation demonstrates how the square of the angular velocity and the moment of inertia are inversely related to the kinetic energy of a spinning rigid body.

The sources of the centrifugal force are:

F = m r ω²

The formula for static friction's force is

F_friction = μ_s N

The weight of a man is equal to the normal force N, which is determined by:

N = m g

The centrifugal force equals the static friction force at the point where the man is about to slide, hence we have:

F = F_friction

m r ω² = μ_s N

Substituting N = m g, we get:

r = (μ_s g) / ω²

Substituting μ_s = 0.35, g = 9.81 m/s², and ω = 2.5 rad/s, we get:

r = (0.35 x 9.81 m/s²) / (2.5 rad/s)² ≈ 1.42 m

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素 Example three
After an airplane takes off, it travels 10.4 km west, 8.7 km north, and 2.1 km up How far is it
from the take off point?
Solution​

Answers

Answer:

Let R be the total distance

R²=10.4²+(8.7+2.1)²

R²=10.4²+10.8²

R²=224.8

You square root both sides

R=14.99km

 Example threeAfter an airplane takes off, it travels 10.4 km west, 8.7 km north, and 2.1 km up How far

If an airplane takes off, it travels 10.4 km west, 8.7 km north, and 2.1 km up, then using the Pythagorean theorem it is 14.99km from its take-off point.

What is Pythagoras' theorem?

Pythagoras' theorem is a fundamental theorem in mathematics that relates to the sides of a right-angled triangle. It states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In equation form, the theorem can be written as:

c² = a² + b²

Where

c =the length of the hypotenuse,

a and b = the lengths of the other two sides.

The theorem is named after the ancient Greek mathematician Pythagoras, who is credited with his discovery and proof. Pythagoras' theorem is widely used in mathematics and has many practical applications in fields such as architecture, engineering, and physics.

Here in the question

We can use the Pythagorean theorem to find the distance from the takeoff point:

Distance = √(West)² + (North+Up)²

Plugging in the given values, we get:

Distance = √(10.4)² +( 8.7 + 2.1)²

Distance ≈ 14.99km

Therefore, the airplane is approximately 14.99km away from the takeoff point.

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 Example threeAfter an airplane takes off, it travels 10.4 km west, 8.7 km north, and 2.1 km up How far

an ideal gas at 20centigree In a press 1.5×10pa and compress,a.isothamally,b.adaibatically until it volume in 1/3 in each case reversible.calculate in each case the final pressure and temperature of d gas (the ratio all specific capacity=Cp/Cv=1.4​

Answers

a) The final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\) and 293 K, respectively, while  b) the final pressure and temperature for the adiabatic compression are\(5.58*10^5 Pa\) and 515 K, respectively.

a. Isothermal compression:

For an isothermal process, the temperature remains constant. Therefore, we can use the ideal gas law:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.

Since the process is isothermal, we can write:

\(P_1V_1 = P_2V_2\)

where P1 and V1 are the initial pressure and volume, and\(P_2\)and\(V_2\)are the final pressure and volume.

We are given that the volume is compressed to 1/3 of its original volume, so\(V_2 = (1/3)V_1\). Substituting this into the equation above gives:

\(P_2 = (V_1/V_2)P_1 = 3P_1\) = \(4.5*10^5 Pa\)

To find the final temperature, we can use the ideal gas law again:

PV = nRT

Rearranging, we get:

T = PV/(nR)

Substituting the values we know, we get:

T = (\(1.5*10^5\)Pa)(V1)/(nR)

Since the process is isothermal, the temperature remains constant, so the final temperature is the same as the initial temperature:

T2 = T1 = 293 K

b. Adiabatic compression:

For an adiabatic process, there is no heat transfer between the gas and its surroundings. Therefore, we can use the adiabatic equation:

PV^γ = constant

where γ = Cp/Cv is the ratio of specific heats.

Since the process is adiabatic and reversible, we can write:

\(P_1V_1\)^γ = \(P_2V_2\)^γ

We are given that the volume is compressed to 1/3 of its original volume, so V2 = (1/3)V1. Substituting this into the equation above gives:

\(P_2 = P_1(V_1/V_2)\)^γ = \(P_1\)\((3)^{(1.4)\) = \(5.58*10^5 Pa\)

To find the final temperature, we can use the adiabatic equation again:

\(T_2 = T_1(P_2/P_1)\)^((γ-1)/γ) = T1(5.58/1.5)^(0.4) = 515 K

Therefore, the final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\)and 293 K, respectively, while the final pressure and temperature for the adiabatic compression are \(5.58*10^5\) Pa and 515 K, respectively.

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How to solve conservation of momentum

Answers

Answer:

Step 1: List the mass and velocity of the object. Step 2: Convert any values into SI units (kg, m, s). Step 3: Multiply the mass and velocity of the object together to get the momentum of the object.

Other Questions
Which of the following is an example of a concluding statement? help mee!! A. Perfect attendance creates a good atmosphere for learning. B. Perfect attendance helps the learning environment by making things interesting. C. As I have demonstrated, perfect attendance is an honor that students should be proud of. D. However, perfect attendance makes kids in school uncomfortable. Which amino acid will be carried to a ribosome by a transfer molecule contining the anticodon AAA? Select the correct answer.The author wrote this passage in order toAinform the reader about Motown Records.B. persuade the reader to sign with Motown.C.entertain the reader with Gordy's stories.D.teach the reader how to start a record label. We have 2 genes here, so we are coding for 2different traits, AKA 2 distinct and separatephenotypesHowever, both phenotypes are present in eachoffspring cat.So, for example we could have a hairy, sink-loving cat (like one of the parents) or ahairless, sink-hating cat (like the otherparent). What are the other possibilities forphenotype?Make sure to include both traits (hair/hairlessand feelings about sinks) for each possiblephenotype. Chocolate drink can easily be dissolved in PLEASE ONLY GIVE THE ANSWER YOU KNOW. I CAN ONLY TAKE THIS ONCE. The RIGHT ANSWER GETS 25 points and brainliest. If its wrong I will report you. Dont reply if you dont know. plz answer this is due today what unit contains a hold-in winding and pull-in winding a. field coil b. armature c. starter solenoid d. ignition switch I need help with multiplication and division of equations and one of my practice problems specifically is m over 5 = 4 and you need to solve for m 2. A downtown auditorium hosts large events. The auditorium can seat600 people at one time. The sponsors of an awards dinner are usingthe auditorium for 450 people. The chef has prepared meals for of the usual 600 people. The pastry chef has made enough dessertfor of the usual 600 people. The staff has set up of the usual600 chairs. When the guests arrive, will everybody have a placeto sit? Will there be enough meals? Enough dessert? Explain yourmathematical thinking. Suppose that when Emma was born, her grandparents deposited $20,000 into an account paying 5% interest compounded quarterly. What will the balance be when Emma turns 18? Round to the nearest cent Jay earns $8 an hour when he works at his uncles store. He earns $9 an hour when he does yard work for his neighbor. Which expression represents the total amount he will earn in a week when he works u hours at his uncles store and v hours doing yard work for his neighbor?8 u + 9 v8 (u minus v) + 9 (v minus u)17 u v17 (u + v) Write the slope-intercept form of the equation of each line.4) -3+y=2/5x show that 1 2/3 + 2 3/4 = 4 5/12 8-2 skills practice adding and subtracting rational expressions A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=4.9t2+25t+2. What is the height of the ball at each second from 0 to 5? which definition of battery would the nurse include when teaching staff about legal terminology used Are the following pairwise relative prime?17, 19, 2329, 31, 3741, 47, 5145, 49, 60Find which of the following pairs ofnumbers are relatively prime.18 and 1925 and 2289 and 300401 and 454 The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. The probability that the average pregnancy length for nine randomly chosen women exceeds 268 days is about a) 0.35 b) 0.40 c) 0.65 d) 0.27 PLEASE HELP MEE!! SHOW YOUR WORK PLS