Consider the four scenarios involving visible light. In scenario A, visible light has a wavelength of 715.3 nm. Determine its frequency, energy per photon, and color.

Answers

Answer 1

Answer:

1. frequency (f) = 4.194 × 10^14Hz

2. Energy of photon (E) = 2.779 × 10^-19 J

3. Color is RED

Explanation:

1. Based on the information in this question, a visible light has a wavelength of 715.3 nm.

λ = v/f

Where; λ = wavelength (nm)

v = speed of light (3 × 10^8m/s)

f = frequency (Hz)

f = v/λ

f = 3 × 10^8/715.3 × 10^-9

f = 0.004194 × 10^(8+9)

f = 0.004194 × 10^17

f = 4.194 × 10^14Hz

2. Energy per photon is calculated thus;

E = hf

Where; E = energy of photon (J)

h = Planck's constant (6.626 × 10^-34 J/s)

f = frequency (Hz)

E = 6.626 × 10^-34 × 4.194 × 10^14

E = 27.789 × 10^(-34+14)

E = 27.789 × 10^-20

E = 2.779 × 10^-19 J

3. Based on the wavelength range of the visible spectrum, wavelength of 715.3nm falls between 625-740nm, which is RED color of light. Hence, the color of the visible light is RED.

Answer 2

The frequency is "\(419.5\times 10^{12} \ s^{-1}\)", energy per photon is "\(2.780\times 10^{-19} \ J\)" and the color is "red".

Given:

Wavelength,

\(\lambda = 715.1 \ nm\)

or,

           \(= 715.1 \ nm\times (10^-9 \ m/nm)\)

As we know the formula,

→ \(Frequency = \frac{Speed \ of \ light}{wavelength}\)

By substituting the values, we get

                    \(= \frac{(3\times 10^8) }{715.1\times 10^{-9} }\)

                    \(= 419.5\times 10^{12} \ s^{-1}\)  

Now,

The energy per photon will be:

→ \(E = Planck's \ constant\times Frequency\)

      \(= 6.626\times 10^{-34}\times 419.5\times 10^{12}\)

      \(= 2.780\times 10^{-19} \ J\)

Thus the above answer is correct.

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Related Questions

If a block is sitting in a shelf 5 foot high and the same size block is sitting on the shelf above it at 6 feet high. Which has more potential energy? Explain your reasoning.

Answers

Answer:

Explanation:

Assuming that not only is the size of the two blocks the same but the MASS is also the same, then the higher block will have more potential energy.

Potential energy is equal to the amount of work required against gravity to position a mass

Work is a force times a distance. PE = W = Fd

As each block has the same mass, they each create the same force which would be their weight mg

PE = W = Fd = mgd

so potential energy is directly proportional to the height of each block

the lower block has potential energy PE = Fd = mg(5)

while the upper block has potential energy PE = mg(6)

above a reference frame origin, possibly the floor.

It is possible that the higher block has less potential energy then the lower block if only the size is considered. If the higher block is a one foot cube of ice at 57.2 lbs and the lower block is a one foot cube of copper at 559 lbs then the lower mass would have much more potential energy because of its much greater mass.

559(5) = 2795 ft•lb of potential energy

57.2(6) = 343.2 ft•lb of potential energy

explaining how your energy system works. Make sure to explain how your system captures energy from rescue workers’ bodies to power equipment during rescue missions. Try to use the words in the Word Bank above.

Answers

Answer:

The rescue workers can get energy to the batteries in their equipment during rescue missions by using a generator to convert the kinetic energy to potential energy. Potential energy is then stored in the battery.

Explanation:

laser light (λ = 568.7 nm) is incident on a single slit. what is the maximum width of the slit (in nm) for which no diffraction minima are observed? round to the closest integer.

Answers

The maximum width of the slit (in nm) for which no diffraction minima are observed is 569 nm.

What is the maximum width of the slit?

The maximum width of the slit (in nm) for which no diffraction minima are observed is calculated by applying the following equation.

sinθ = mλ/a

where;

m is = 1 order integerthe maximum angle for diffraction to occur = 90⁰λ is the wavelength = 568.7 nma is the maximum width of the slit

Substitute the given parameters and solve for the maximum width of the slit (in nm) for which no diffraction minima are observed.

sin(90) = (1 x 568.7 nm) / a

1 = (568.7 nm) / a

a = (568.7 nm) /1

a = 568.7 nm

to the closest integer = 569 nm

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A swimming pool has a width of 12 ft and a side profile as shown in w = 62.4 lb/ft3.
Part A Determine the resultant force the pressure of the water exerts on the wall AB
Part B Determine the resultant force the pressure of the water exerts on the wall DC .
Part C Determine the resultant force the pressure of the water exerts on the bottom BC .

Answers

A. The resultant force the pressure of the water exerts on the wall AB is equal to the force generated by the water pressure times the area of wall AB, which is equal to 12 ft x 62.4 lb/ft3 = 748.8 lb.
B. The resultant force the pressure of the water exerts on the wall DC is equal to the force generated by the water pressure times the area of wall DC, which is equal to 12 ft x 62.4 lb/ft3 = 748.8 lb.
C. The resultant force the pressure of the water exerts on the bottom BC is equal to the force generated by the water pressure times the area of the bottom BC, which is equal to 12 ft x 62.4 lb/ft3 = 748.8 lb.

What is Force?

Force is an interaction between two objects that results in a change of motion, shape, or energy of one or both objects. Force can cause objects to accelerate, decelerate, or change direction. A force is a push or a pull that acts upon an object as a result of its interaction with another object.

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A ball connected to a 1.1 m string and is swing in circular fashion. It’s tangential velocity is 15 m/s. What is its centripetal acceleration?

Answers

Answer:

ac = 204 [m/s²]

Explanation:

To solve this problem we must use the following equation that relates the tangential velocity to the radius of rotation.

ac = v²/r

where:

v = tangential velocity = 15 [m/s]

r = radius = 1.1 [m]

Now replacing we have:

ac = (15)²/1.1

ac = 204 [m/s²]

Please help!!! I will give brainliest,

Please help!!! I will give brainliest,

Answers

Answer:

C. a liter of salt water.

Explanation:

Defination of Solution =>

a liquid mixture in which the minor component (the solute) is uniformly distributed within the major component (the solvent).

Select all the statements that are true about kinetic energy and particle behavior.
There will be more than one answer
A. Kinetic energy does not transfer from one particle to another.
B. The kinetic energy of a particle changes as the particles collide with one another.
C. The kinetic energy is being transferred from one particle to another.
D. Fast particles only transfer kinetic energy to other fast particles. There will be more than one answer

Answers

Answer:

B and C are true

Explanation:

A. False, kinetic energy can transfer between particles during a collision.

B. True, one particle could gain kinetic energy, and the other could lose kinetic energy.

C. True

D. False, a fast particle can transfer kinetic energy to a slow particle, or even a particle at rest.

A swimmer, capable of swimming at a speed of 1.4 m/s in still water (i.e., the swimmer can swim with a speed of 1.4 m/s relative to the water), starts to swim directly across a 2.8-km-wide river. However, the current is 0.91 m/s, and it carries the swimmer downstream. (a) How long does it take the swimmer to cross the river?
(b) How far downstream will the swimmer be upon reaching the other side of the river?

Answers

(a) The swimmer needs 3000 seconds before take a bath across that whole river.

(b) D = 2730 meters, which represents how far downstream the swimmer will be when they cross the river.

What does the term "downstream" mean?

Two miles downstream, in the course of or closer to the entrance of a stream drifting downstream. in or around the end of a typical industrial process and the stages after fabrication that increase earnings for downstream products.

What is a river's downstream?

Downstream It is referred to as downstream if somehow the boat is moving downwards of the stream. The downstream speed in this situation refers to the boat's net speed. In this situation, still water is seen as being immobile.

Briefing:

Time = ?

d / v = t

3000 m / 1.0 m/s

T = 3000 s

Distance = ?

t * v = d

3000 s * 0.91 m/s

D = 2730 m

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You leave Fort worth ,Texas,at 2:41 p.m. and arrive in Dallas at 3:23 p.m. , covering a distance of 58km. what is your average speed in metres per second ?​

Answers

Answer:

Explanation:

The time taken to travel from Fort Worth to Dallas is:

t = 3:23 pm - 2:41 pm = 42 minutes = 0.7 hours

The distance covered is:

d = 58 km

The average speed is:

v = d/t = 58 km / 0.7 hours = 82.86 km/h

To convert km/h to m/s, we can use the conversion factor:

1 km/h = 0.2778 m/s

Therefore, the average speed in m/s is:

v = 82.86 km/h × 0.2778 m/s/km = 23.06 m/s (rounded to two decimal places)

So the average speed is 23.06 m/s.

How do you make a mirages?​

Answers

Answer: when the ground is very hot and the air is cool. The hot ground warms a layer of air just above the ground. When the light moves through the cold air and into the layer of hot air it is refracted (bent). A layer of very warm air near the ground refracts the light from the sky nearly into a U-shaped bend.

Explanation:

Daniel scores 68,84,76 and 80 in four test. what mark should he score in the fifth test so that his average mark for the five test would be 78.
(I) what was his median score in the five test​

Answers

Answer

68+84+76+80+x / 5 =78

x= it is value of his result in 5th test

x=82

Explanation:

Then you put all value from smallest to the biggest

68,76,80,82,84

median = 80

Which of the following could be an example of chemical weathering?

a. rocks tumbling against each other

​b. water seeping into the ground, dissolving the limestone to form a cave​

c. a waterfall boring out a whole in a rock under it

Answers

Answer: B

Explanation:

Answers A and C are examples of physical weathering while B is chemical weathering when water and lime mix it creates a reaction

(psychology question)
What is decay?

Decay is the quantity that can be stored.
Decay is a measure of time.
Decay is a measure of the quality of memories.
Decay is to diminish or break down.

Answers

Answer:

Decay is a measure of the quality of memories.

Explanation:

That is just a definition of decay theory for Psychology

Answer:

Decay is to diminish or break down.

Explanation:

took test

A rough value of deceleration of a skidding automobile is about 7.0m\s^2.using this how long does it take for a car going at 30m\s to stop after the skid starts.How far dose the car go in this time??​

Answers

Explanation:

Given:

v₀ = 30 m/s

v = 0 m/s

a = -7.0 m/s²

Find: t and Δx

v = at + v₀

0 m/s = (-7.0 m/s²) t + 30 m/s

t = 4.3 seconds

v² = v₀² + 2aΔx

(0 m/s)² = (30 m/s)² + 2 (-7.0 m/s²) Δx

Δx = 64 meters

One problem with digital data is that it can be vulnerable to hackers.
What is a hacker?
O A. A program that changes analog data into stored digital data
O B. A person who modifies stored digital data so that it is
copied perfectly
O c. A person who gains unauthorized access to digital data
O D. A program that protects stored digital data from computer
viruses

Answers

One problem with digital data is that it can be vulnerable to hackers. A Hacker is a person who gains unauthorized access to digital data. Thus, Option C is the correct answer.

What is a Hacker?

The word Hacker usually refers to a person who will uses computer to access individually to overcome the technical issues. Not only technical problem some person also use the computer to involve in the unauthorized  data for the process of criminal behaviors.

They will make the data or information to get deleted and also steal or change the data in an unauthorized way.

Thus, if there was a problem with digital data is that it can be vulnerable then a person who gains unauthorized access to digital data is known as Hacker.

So, Option C is the correct answer.

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Answer:

O C. A person who gains unauthorized access to digital data

Explanation:

Three charges are located at a different position in a plane: q1= 10μC at →r1=(5,6)cm q2=−27μC at →r2=(−6,10)cm and q3=−12μC at →r3=(21,−12)cm. What is the electric field of the first two charges at the location of the third charge?

Answers

Answer:

 E = (2.29 i ^ - 0.917 j ^) 10⁶ N / C

 E_{total} = 2,467 10⁶ N / A       θ = -21.8      

Explanation:

For this exercise we will use that the electric field is a vector quantity, so the total field is

        E_total = E₁₃ + E₂₃

bold font vectors .  We can work with the components of the electric field in each axis

X- axis

       E_ total x = E₁₃ₓ + E_{23x}

y-axis  

      E_{total y} = E_{13y} + E_{23y}

the expression for the electric field is

       E = k q / r²

where r is the distance between the charge and the positive test charge

       

in this exercise

Let's find the field created by charge 1

q₁ = 10 μC = 10 10⁻⁶ C

x₁ = 5 cm = 0.05 m

x₃ = 21 cm = 0.21 m

         E_{13x} = 9 10⁹ 10 10⁻⁶ / (0.21 -0.05)²

         E_{13x} = 3.516 10⁶ N / C

y₁ = 6 cm = 0.06 cm

y₃ = -12 cm = -0.12 m

        E_{13y} = 9 10⁹ 10 10⁻⁶ / (-0.12 - 0.06)²

        E_{13y} = 2,777 10⁶ N / C

let's find the field produced by charge 2

q₂ = -27 μC = - 27 10⁻⁶ C

x₂ = -6 cm = -0.06 m

x₃ = 0.21 m

        E_{23x} = 9 10⁹ 27 10⁻⁶ / (0.21 + 0.06)²

        E_{23x} = 1.23 10⁶ N / A

y₂ = 10 cm = 0.10 m

y₃ = -0.12 m

        E_{23y} = 9 10⁹ 27 10⁻⁶ / (-0.12 - 0.10)²

        E_{23y} = 1.86 10⁶ N / C

Taking the components we can calculate the total electric field, we must use that charge of the same sign repel and attract the opposite sign, remember that the test charge is always considered positive.

       E_{total x} = E_{13x} - E_{23x}

       E_{total x} = (3.516 - 1.23) 10⁶

       E_{total x} = 2.29 10⁶ N / A

       

       E_{total y} = -E_{13y} + E_{23y}

       E_{total y} = (-2.777 +1.86) 10⁶ N / A

       E_{total y} = -0.917 10⁶ N / A

we can give the result in two ways

         E = (2.29 i ^ - 0.917 j ^) 10⁶ N / C

or in the form of modulus and angle, let's use the Pythagorean theorem to find the modulus

                E_{total} = √ (E_{total x}^2 + E_{total y}^ 2)

                 E_{total} = √ (2.29² + 0.917²) 10⁶

                E_{total} = 2,467 10⁶ N / A

let's use trigonometry for the angle

                tan θ = E_total and / E_totalx

                θ = tan⁻¹ E_{total y} / E_{total x}

                θ = tan⁻¹ (-0.917 / 2.29)

                θ = -21.8

The negative sign indicates that the angle is measured with respect to the x-axis in a clockwise direction.

What is Moral subjectivism?

Answers

Answer:

What Is Moral Subjectivism? Moral subjectivism is based on an individual person's perspective of what is right or wrong. An individual can decide for themselves that they approve or disapprove of a certain behavior, and that is what determines if the behavior is right or wrong.

14. Ball A, weighing 30 N, experiences a gravitational force of 8.7 x 10-10 N from Ball B that is
at rest 3.0 m away. What is the mass of Ball B?

Answers

The mass of the Ball B is 1.35 x 10⁻⁶ kg.

Understanding Gravitational Force

Gravitational Force is described by Newton's law of universal gravitation, which states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

The law of universal gravitation is important in many fields, including astronomy, physics, and engineering.

The gravitational force F between two objects of masses m1 and m2 separated by a distance r is given by:

F = G(m₁m₂)/r²

where G is the gravitational constant.

We can rearrange the equation to solve for the mass of Ball B:

m₂ = Fr²/Gm₁

Substituting the given values, we get:

m₂ = (8.7 x 10⁻¹⁰ N)(3.0 m)²/(6.6743 x 10¹¹ N(m^2/kg²))(30 N)

m₂ = 1.35 x 10⁻⁶ kg

Therefore, the mass of Ball B is approximately 1.35 x 10⁻⁶kg.

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Calculate the pressure when a force of 200 N presses on an area of 0.40 m

Answers

Answer:

500 Pascals or 500N/m²

Explanation:

Pressure = Force/Area

P= 200/0.4 = 500

The luminosity of the star Aldebaran is 520 times
that of the Sun. The wavelength of light at peak
intensity for Aldebaran is 740 nm and the wavelength
of light at peak intensity for the Sun is 500 nm.
a Explain whether Aldebaran is cooler or hotter
than the Sun.
b Calculate the ratio:
radius of Aldebaran / radius of the Sun.

Answers

Since the wavelength for Aldebaran is longer then, it is cooler than the Sun. The ratio of the radiuses is 22.8

How to calculate ratio?

a) The temperature of a star can be determined by its peak wavelength of light emission, which is related to its luminosity. The hotter the star, the shorter the peak wavelength of light. Since the wavelength of light at peak intensity for Aldebaran is longer (740 nm) than that for the Sun (500 nm), we can conclude that Aldebaran is cooler than the Sun.

b) The radius of a star can be related to its luminosity through the equation L = 4πR^2σT^4, where L is the luminosity, R is the radius, σ is the Stefan-Boltzmann constant, and T is the temperature. Since the luminosity of Aldebaran is 520 times that of the Sun, we have the equation ratio: R_Aldebaran / R_Sun = sqrt(L_Aldebaran / L_Sun) = sqrt(520) = 22.8.

Thus, the ratio of the radius of Aldebaran to the radius of the Sun is 22.8.

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the space Hubble Telescope is orbiting earth at a constant speed of 20m/s.The distance between it and planet earth is 100m.The radius of planet earth is 300km. How long will it take for the Space Hubble Telescope to make a complete rotation?​

Answers

It will take the Hubble Telescope 94,247 seconds or 26.18 hours to complete one full rotation around the Earth.

Rotation time of the Space Hub Telescope

The Hubble Telescope is in a circular orbit around the Earth at a constant speed of 20 m/s. The distance between the telescope and the center of the Earth is:

300 km + 100 m = 300,100 m.

Orbital period T of the Hubble Telescope = T = 2πr / v

where

r is the radius of the orbit v is the orbital speed.

In this case, r = 300,100 m and v = 20 m/s, so:

T = 2π(300,100 m) / (20 m/s) = 94247 seconds

Thus, it will take the Hubble Telescope approximately 94,247 seconds, or about 26.18 hours, to complete one full rotation around the Earth.

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A ball traveling in a circle with a constant speed of 8 m/s has a centripetal acceleration of 20 m/s2. What is the radius of the circle?

The radius of the circle is ____
m.

Answers

Answer:

The radius of the circle will be 20

Explanation:

First we will get the time from the given

time =velocity÷acceleration, 8÷20= 0.4s

then we are going to get the distance (circumference)

d=velocity ×time, 8×0.4=3.2

since that the circumference =2/pi (r)²

2×22÷7×r²=3.2 , 3.2 ÷44÷7=0.509 root 0.509

radius=0.71


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A car travelling at 110 km/h decelerates for 4.5 seconds to a final velocity of 45 km/h. Calculate the deceleration of the car.

Answers

Answer:

Final velicity=45km/h=45×5/18=12.5m/s

Initial velocity =110km/h=110×5/18=30.5m/s

Time=4.5s

Deceleration=v-u/t

=(12.5-30.5)/4.5 m/s²

=18/4.5 m/s²

=4m/s²

An object increases its velocity from 22 m/s to 36 m/s in 5.0 s. What is the average velocity of the object?

Answers

Answer:

\(a=2.8\ m/s^2\)

Explanation:

Given that,

Initial velocity of an object, u = 22 m/s

Final velocity of an object, v = 36 m/s

Time, t = 5 s

It can be assumed to find the average acceleration of the object instead of average velocity.

The change in velocity per unit time is equal to average acceleration of an object. It can be given by :

\(a=\dfrac{v-u}{t}\\\\a=\dfrac{36\ m/s-22\ m/s}{5}\\\\\a=\dfrac{14}{5}\ m/s^2\\\\a=2.8\ m/s^2\)

So, the acceleration of the object is \(2.8\ m/s^2\).

Replace the incandescent bulb with the Voltage meter and return loop # to 3. What happens when you move the bar magnet back-n-forth through the loop? Does this appear to be creating a Direct Current or an Alternating Current? How do you know?

Answers

If we replace the incandescent bulb with a voltage meter and return the loop to its original configuration, then moving the bar magnet back and forth through the loop will induce an electrical current in the loop, as described by Faraday's law of electromagnetic induction.

What is magnet?

A magnet is a material or object that produces a magnetic field, which is a force that can attract or repel certain other materials, such as iron or steel. The magnetic field is created by the motion of electric charges within the magnet, which align in such a way that they produce a net magnetic field. Magnets can be made from a variety of materials, including iron, cobalt, nickel, and certain alloys. They come in many different shapes and sizes, including bars, discs, horseshoes, and rings.

Here,

The type of current that is generated depends on the direction and rate of the magnet's motion. If the magnet is moved back and forth with a constant speed and in a straight line, the current induced in the loop will be an alternating current (AC), because the direction of the current will reverse every time the magnet changes direction. This can be observed by the voltage meter reading a voltage that periodically changes in direction.

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Which of the following is man made and is used to store water for drinking or irrigation

Answers

Answer:

Reservoir.

Explanation:

. Which of the following is the best description about cancer cells?

Answers

Cancer cells are cells that divide relentlessly, forming solid tumors or flooding the blood with abnormal cells. Cell division is a normal process used by the body for growth and repair.

two in phase loudspeakers are some distance apart. a person stands 5.70m apart contructuve interference

Answers

The second lowest frequency where the constructive interference occurs is \($254.074 \mathrm{~Hz}$\).

Given data

- The distance of person from one speaker is: \($d_1=5.70 \mathrm{~m}$\).

- The distance of person from other speaker is: \($d_2=3.00 \mathrm{~m}$\).

- The speed of sound is: \($v_{\text {sound }}=343 \mathrm{~m} / \mathrm{s}$\).

It is provided that the constructive frequency occurs at the second lowest frequency.

Thus, \($N=2$\).

The expression for the wavelength for this constructive interference is,

\($$\lambda=\frac{d_2-d_1}{N}$$\)

Substitute the values.

\($$\begin{aligned}\lambda & =\frac{5.70 \mathrm{~m}-3.00 \mathrm{~m}}{2} \\& =1.35 \mathrm{~m}\end{aligned}$$\)

The expression for the second lowest frequency is,

\($$f_{\text {second_lowest }}=\frac{v_{\text {sound }}}{\lambda}$$\)

Substitute the values.

\($$\begin{aligned}f_{\text {second_lowest }} & =\frac{343 \mathrm{~m} / \mathrm{s}}{1.35 \mathrm{~m}} \\& =254.074 \mathrm{~s}^{-1}\left(\frac{1 \mathrm{~Hz}}{1 \mathrm{~s}^{-1}}\right) \\& =254.074 \mathrm{~Hz}\end{aligned}$$\)

Thus, the second lowest frequency where the constructive interference occurs is \($254.074 \mathrm{~Hz}$\).

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How long would it take you to walk 3,962 km from New York to Los
Angeles?

Answers

Answer:

913 hours ur welcome :)

12 Rajiv made a model of a boat. When he places it in water, it sinks. According to
Archimedes' principle, why does the boat sink?
A The boat is too small.
B The buoyant force is less than the boat's weight.
C The buoyant force is equal to the boat's weight.
D The buoyant force is greater than the boat's weight.

Answers

Answer:

the answer is .D

Explanation:

force is greater than the boats weight

Answer: The buoyant force is less than the boats weight.

Other Questions
help me with my math the lymphatic system is a closed circuit system that carries lymph and interstitial fluid to all organs of the body and can facilitate the spread of disease throughout the body. Iliana wants to find the perimeter of triangle ABC. She uses the distance formula to determine the length of AB. Finish Ilianas calculations to find the length of AB.What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.10 units11 units12 units13 units What would you feel if the grocery stores were full of genetically modified goods instead of naturally processed goods? What does it mean about the food available in its natural environment if a microbe evolved the ability to survive on citrate as a sole carbon source? document creation is a key business function because Simplify. Write the expression using only positive exponents. n8.58 The simplified expression is Find the indicated root. Plz help me again I dont understand El subjuntivo con deseosEscoge la forma apropiada del verbo.1. Todos esperan que los recin casados __ una vida feliz.a. tienen b. tengan2. Sus padres prefieren que ___ en la iglesia.a. se casen b. se casan3. Insisto en que t melo que pasa.a. digas b. dices4. Esperan que nosotrosa. asistimos b. asistamos5. Ellos temen que yo no ___ a tiempo.a. llego b. llegue g in this program you will write a basic employee management system. the system maintains the basic information of employees and their registered address. each employee has a unique address. 3 4/15 divided by (8 times 6 3/10) Consider the differential equation xy" + ay = 0 (a) Show that x = 0 is an irregular singular point of (3). 1 (b) Show that substitution t = -yields the differential equation X d y 2 dy + dt t dt + ay = 0 (c) Show that t = 0 is a regular singular point of the equation in part (b) (d) Find two power series solutions of the differential equation in part (b) about t = 0. (e) Express a general solution of the original equation (3) in terms of elementary function, i.e, not in the form of power series. (3) What is the grammatical mistake in this sentence:Not only Nick dealt with the typical challenges of school and adolescence, but he also struggled with depression and loneliness The network folder specified is currently mapped using a different:. The are of a square is 36 square feet. Which of the following measures is closest to the length of the diagonal?A).6.0ftB).6.2ftC).8.3ftD).8.5ft HURRY GIVING BRAINLIEST AND ALL MY POINTS and I only have 40Write an algorithm using pseudocode that someone else can follow. Choose one of the following options:1. Decide on the message you would like to display to the screen. Some ideas include:1. Your favorite book title or TV show and why you like it2. A few sentences sharing information about you3. Your favorite sport and team or athlete4. Use two variables to store your message. 5.Alison is an interior designer with her own business. She does not have an office as she thinks it would just be a waste of money as her clients do not come to her, but she goes to the clients. It is crucial to her business that she be able to visit her clients premises to view their homes before providing her services. Alison has set aside one room in her home as her office and uses it exclusively for her interior designing work. During the year, Alison incurred expenses in travelling to meet her clients at their home and sustained increased expenditure on electricity, gas, and cleaning in relation to her office. Alison owns her home and pays interest on her mortgage monthly. Last month, Alison was late in paying her monthly interest charge and had to pay a penalty of $150.Advise Alison as to the deductibility of the abovementioned expenses.Need case studies and Rulings and sections to prove the solutions Directions:Match each given volume with its corresponding dimensions found in the key by writing the letter on the box assigned to it. dow chemical, calvin klein and tommy hilfiger have tried to influence their international suppliers by: True or false: The formula for a confidence interval for the difference in population means when population variances are unknown but assumed equal can incorporate a pooled estimate of the common variance. True false question. True False