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A boy holds a toy soldier in from of a concave mirror. The focal length of the mirror is 0.45 m and the boy holds the toy soldier at a distance of 0.25m from the mirror. Find the image distance.

Answers

Answer 1

The image distance when a boy holds a toy soldier in front of a concave mirror, with a focal length of 0.45 m. is -0.56 m.

What is image distance?

This is the distance between the image formed and the focus when an object is placed in front of a plane mirror.

To calculate the image distance, we use the formula below.

Formula:

1/f = 1/u+1/v........... Equation 1

Where:

f = Focal length of the mirrorv = Image distanceu = object distance

From the question,

Given:

f = 0.45 mu = 0.25 m

Substitute these values into equation 1 and solve for the image distance

1/0.45 = 1/0.25 + 1/v2.22 = 4+1/v1/v = 2.22-41/v = -1.78v = 1/(-1.78)v = -0.56 m

Hence, The image distance is -0.56 m.

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Related Questions

Find the number of permutations when 7 objects are taken 1 at a time

Answers

Using the formula for  permutation, there are 5040 ways that  7 objects are taken 1 at a time.

What is permutation?

The permutation of objects refers to the number of ways that an object can be selected from a number of objects.

Given that;

nPr = n!/(n - r)!

Hence;

7P1 = 7!/(7 - 1)!

7P1 = 7 * 6 !/6!

7P1 = 7 * 6 * 5 * 4 * 3 * 2 *1

7P1 = 5040

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An atom or ion has the abbreviated electron configuration [kr]. Select the species that it could not be

Answers

An atom or ion which does not have the same electronic configuration as the species [kr] is K+

The complete question is given below:

An atom or ion has the abbreviated electron configuration (Kr). Select the species that it could not A. Br" B. K+ C. Sr24 D. Rbt E. Se-

What is an atom?

An atom can be defined as the smallest particle of an element which can take part in a chemical reaction.

Some elements are

Monoatomic; eg: CDiatomic; eg: O2Triatomic and othersPolyatomic

So therefore, an atom or ion which does not have the same electronic configuration as the species [kr] is K+

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The number of electrons in the atom comprised the atomic number and the electronic configuration. The ionic species that lacks the same configuration as Kr is potassium ion.

What is atom?

An atom is the smallest unit of the matter with the presence of electrons, protons and neutrons as the subatomic particles. The electrons are present in the orbital and the loss and gain of the electrons adds charge to the atom.

The number of electrons in Kr atom is 36. The number of electrons in the following species is:

[tex]\rm Br^-=36\\Sr^{2+}=36\\K^+=18\\Rb^+=36\\[/tex]

Thus, the atom or ionic species that lacks the same configuration as Kr is potassium ion.

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how do greenhouse gases affect global temperatures​

Answers

Answer:

Less heat radiates into space, and Earth is warmer

What can be inferred when an atom is electrically charged?

Answers

When an atom becomes electrically charged the number of electrons or protons stops and they are not equal again. The "extra" electron or proton is not balanced by something inside the atom any longer and it starts attracting itself to othet protons or electrons in other atoms.

What is atomic structure?

An atomic structure comprises of positively charged nucleus which is surrounded by negatively charged particles called electron and neutron which is neutral charged.

Unlike charges attract each other while like charges repel each other.

Therefore, When an electron is fully charged, the number of electrons will stop to be unequal again.

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A room with translucent windows that include some colored parts. use the drop-down menus the complete the statements about the image. the windowpanes are . the colors of the panes are due to the wavelengths of light that the glass .

Answers

(a)The window panes are transparent  

(b)The colors of the panes are due to the wavelengths of light that the glass allows to pass through.

What are trasparent glasses?

The glasses which allows the light rays to pass through them are called as the transparent glasses.

or visible light is electromagnetic radiation within the portion of the electromagnetic spectrum that is perceived by the human eye.[1] Visible light is usually defined as having wavelengths in the range of 400–700 nanometres (nm),

corresponding to frequencies of 750-420 terahertz, between the infrared (with longer wavelengths) and the ultraviolet (with shorter wavelengths

Hence  the  window panes are transparent the colors of the panes are due to the wavelengths of light that the glass allows to pass through.

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Answer:

The windowpanes are- transparent.

The color of the panes are due to the wavelengths of light that the glass- allows to pass through

Explanation:

a
13. Chemical energy is a form of___________
energy.

Answers

Answer:

Potential energy.

Explanation:

Batteries are a form of chemical energy which  is stored in the bonds of molecules contained within the battery acid, batteries are a form of potential energy making chemical potential energy too.

why is an iceberg more dense than a ship?

Answers

Answer:

icebergs float on water because ice is less dense than water. The same is true for a boat: a boat floats on water because, overall, it is less dense than the water.

Explanation:

If the barge is made out of 4.8- cm -thick steel plate on each of its four sides and its bottom, what mass of coal can the barge carry in freshwater without sinking

Answers

The maximum mass of coal that the barge will carry in freshwater without sinking is 0.111 kg.

Volume of the barge

The volume of the barge is calculated as follows;

V = L³

V = (4.8 cm)³

V = 110.6 cm³

Density of the barge

For the barge to float in freshwater, its density must be less or equal to density of water.

density(barge) = density(water)

density(barge) = 1 g/cm³

Maximum mass to be carried by the barge without sinking

mass = density x volume

mass = 1 g/cm³ x 110.6 cm³

mass = 110.6 g

mass = 0.111 kg

Thus, the maximum mass of coal that the barge will carry in freshwater without sinking is 0.111 kg.

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You are riding your bike downtown at a speed of 15 m/s and you see
a red light ahead. You gently brake over a distance of 50 m and come
to a complete stop. What is your acceleration during this time?

Answers

The acceleration of the rider initially going at a speed of 15m/s but comes to a stop at 50m is 2.25m/s².

How to calculate acceleration?

The acceleration of a moving body can be calculated by using the following formula:

v² = u² + 2as

Where;

v = final speed u = initial speeda = accelerations = distance

15² = 0² + 2×a×50

225 = 0 + 100a

a = 225/100

a = 2.25m/s²

Therefore, the acceleration of the rider initially going at a speed of 15m/s but comes to a stop at 50m is 2.25m/s².

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A ray of light makes an angle of 25° with the normal to a plane mirror. If the mirror is turned through 6. 0°, making the angle of incidence 31°, through what angle is the reflected ray rotated?

Answers

The reflected ray of a ray of light that makes an angle of 25° with the normal to a plane mirror and its is turned through 60°, making the angle of incidence to be 31° is rotated through 12°.

What is reflection?

Freflection can be defined as the turning back of a ray of light when its strikes a plane's surface.

There are 2 laws of reflection

Laws of reflection

(1) The first law of reflection states that the incident ray the reflected ray and the normal all at the point of incidence lie in the same plane

(2) The second law of reflection states that the angle of incident is equal to the angle of reflection.

From the question, if the incidence ray is rotated through 6°, then the  reflected ray is rotated through 12°

Hence, The reflected ray is rotated through 12°.

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The reflection resulting in a 31° angle of incidence and the angle is the reflected ray rotated will be 12°

What is the law of reflection?

The law of reflection specifies that upon reflection from a downy surface, the slope of the reflected ray is similar to the slope of the incident ray.

The reflected ray is consistently in the plane determined by the incident ray and perpendicular to the surface at the point of reference of the incident ray.

When the light rays descend on the smooth surface, the angle of reflection is similar to the angle of incidence, also the incident ray, the reflected ray, and the normal to the surface all lie in a similar plane.

As a result, the reflected light is rotated by 12°.

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What is fission and how is it related to atomic energy

Answers

Answer:

Fission is the release of atomic energy related to the splitting of nuclei.

M = M1 + M2 + E         where E = m c^2 energy from conversion of mass

if the daughter nuclei are less in total mass than the parent nucleus then the difference is released as atomic energy where E = m c^2 and m is the mass that has been lost in the conversion.

Complete the mechanism for the given reaction by adding the missing bonds, charges, nonbonding electrons, and curved arrows

Answers

The mechanism for the given reaction by adding the missing bonds, charges, nonbonding electrons, and curved arrows is as represented in the attached image.

Mechanism of Organic Reactions

The representation of an organic reaction mechanism typically includes designation of the overall reaction type (which may be substitution, addition, elimination, oxidation, reduction, or rearrangement), the presence of any reactive intermediates, the nature of the reagent that initiates the reaction, the presence of any catalysis as facilitated by a catalyst, and ultimately it's stereochemistry.

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The mechanism for the given reaction is depicted in the attached picture by adding missing bonds, charges, nonbonding electrons, and curved arrows.

What is organic reaction mechanisms?

The existence of any reactive intermediates, the nature of the reagent that begins the reaction, the presence of any catalysis as helped by a catalyst.

Finally the stereochemistry of an organic reaction mechanism are all included in the depiction of an organic reaction mechanism.

Hence the mechanism for the given reaction is depicted in the attached picture by adding missing bonds, charges, nonbonding electrons, and curved arrows.

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A plot of the maxwell distribution for the same gas against temperature shows that.

Answers

the speeds of various particles within a stationary container at a specific temperature.

An electromagnetic radio wave is received by a transmitter before it is converted to a sound wave. The radio wave has a wavelength of 23,076 m and a frequency of 13,000 Hz. What velocity is the wave traveling at before the transmitter converts it to a sound wave? 1. 76 m/s 0. 56 m/s 3. 31 × 102 m/s 3. 00 × 108 m/s.

Answers

The velocity the wave was traveling at before the transmitter converts it to a sound wave is 3.0 x 10⁸ m/s.

What is Velocity of waves?

The velocity of waves is the rate of change of the wave's displacement with time.

The velocity of waves is determined by taking the product of the wave's frequency and wavelength.

v = fλ

v = 13,000 x 23,076

v = 3.0 x 10⁸ m/s.

Thus, the velocity the wave was traveling at before the transmitter converts it to a sound wave is 3.0 x 10⁸ m/s.

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Because of the costs involved in maintaining high temperatures and pressure, nuclear _______ is not yet a practical method for generating electrical energy.

Which best completes the statement?

fusion
fission
energy
generators

Answers

Answer:

A

Explanation:

i just took the test

Answer:

A - Fusion !

Explanation:

Person above me is correct, I just took "The Impact of Human Activity" Unit Test.

This fossil snake and this living rat both have a structure in their skull called the quadrate bone. What best explains why both species have a quadrate bone?

Answers

The snake and rat both share the same ancestor population that had a quadrate bone, which was inherited from an ancestor population.

What is a homo-logous structure?

A homo-logous structure is a trait that may or not have the same function but has a common evolutionary origin.

A homo-logous structure can be used to trace the evolutionary relationships between species.

Conversely, an analogous structure has the same function but it does not reflect an evolutionary origin.

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(WILL MARK BRAINLIST) 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

QUESTION;

→ 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?

SOLUTION;

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

A current of 5. 0 amperes is passing through a piece of wire. Determine how long it takes for 30 coulombs of charge to pass through this wire

Answers

The time taken for the charge to pass through the cross-section of the wire is 6.0s.

Given the data in the question;

Current; [tex]I = 5.0A[/tex]

Charge; [tex]Q = 30C[/tex]

Time; [tex]t = \ ?[/tex]

Current

Current is simply the rate of flow of charged particles i.e electrons caused by EMF or voltage.

If a charge passes through the cross-section of a conductor in a given time, the current I is expressed as;

[tex]I = \frac{Q}{t}[/tex]

Where Q is the charge and t is time elapsed.

We substitute our given values into the expression above to determine the time it took the charge to pass through this wire.

[tex]I = \frac{Q}{t}\\ \\5.0A = \frac{30C}{t} \\\\t = \frac{30C}{5.0A} \\\\t = 6.0s[/tex]

Therefore, the time taken for the charge to pass through the cross-section of the wire is 6.0s.

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The time taken by 30 coulombs of charge to pass through this wire is 6 seconds.

What is current?

The pace at which electrons flow past a point in an electrical circuit is referred to as current.

Current is the ratio of charge and time. Given that the current is equal to 5.0 Amp, while the charge is equal to 30C. Therefore, the time will be equal to,

[tex]I=\dfrac{Q}{t}\\\\5 =\dfrac{30}{t}\\\\t = 6\rm\ sec[/tex]

Hence, the time taken by 30 coulombs of charge to pass through this wire is 6 seconds.

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Research the solar wind and what happens when the solar wind interacts with Earth’s magnetic field. Begin by looking for images and credible sites on the Internet or refer to some books in a library. If searching on the Internet, include the search term magnetosphere. The magnetosphere is the magnetic field surrounding a planet where charged particles are trapped. Answer the following questions:

What is the solar wind?
What happens when Earth’s magnetic field interacts with the solar wind?
What are the Van Allen belts and how are they related to Earth’s magnetic field?
What are auroras and how are they related to Earth’s magnetic field?
Does Earth’s magnetic field protect the planet from the solar wind?

( THIS IS NEEDED BY APRIL 3)

Answers

The solar wind is a stream of radiation particles generated by the Sun's corona, whereas Earth’s magnetic field acts to deflect solar winds.

What is solar wind?

The solar wind is a stream of radiation particles that are released from the last layer of the Sun (Sun's corona).

Earth’s magnetic field acts to deflect solar winds, where the Van Allen belt refers to the area of charged particles in the magnetosphere.

Finally, the aurora is produced by the collisions between charged particles from solar winds and gases present in the last layer of the atmosphere.

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Answer:

Yes, I'm late I'm sorry but here's my answer.

Explanation:

1. Solar wind is the solar wind is a stream of radiation particles that are released from the last layer of the Sun and the Earth’s magnetic field acts to deflect solar winds, where as the Van Allen belt refers to the area of charged particles in the magnetosphere. The aurora is produced by the collisions between charged particles from solar winds and gases present in the last layer of the atmosphere. 

2. When the solar wind encounters Earth, it is deflected by our planet's magnetic shield, causing most of the solar wind's energetic particles to flow around us. 

3. The Van Allen radiation belt is a zone of energetic charged particles, which can originate from the solar wind. The particles are then captured by and held around a planet by that planet's magnetic field.

4. An aurora is that natural light displayed in the Earth's sky, predominantly seen in high-latitude regions. Auroras are the result of disturbances in the magnetosphere caused by the solar wind.

5.  Yes

Two people are having a race pushing equal sized boxes up a hill. joe pushes the box up the hill in 10 seconds and cindy pushes the box up the hill in 5 seconds. who is applying more pressure on the side of the box?

Answers

The person applying a greater pressure to the box is Cindy since it takes her a lesser  time to move the box up the hill.

What is pressure?

The term pressure is defined as the force per unit area. WWe know that the magnitude of force applied is shown by the time taken to push the box up the hill.

Since Cindy pushes the box up the hill in only five seconds, it means that Cindy is applying a greater pressure to the box.

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7. An object with a mass of 2.0 kg is accelerated from rest. The above graph shows the magnitude of the net force
as a function of time. At t = 4.0 s the object's velocity is closest to which of the following?
a. 2.0 m/s
b. 4.0 m/s
C. 10 m/s
d. 13 m/s

Answers

The object's velocity accelerating from rest from the applied force and time is closest to 4 m/s.

Velocity of the object

The velocity of the object can be determied by applying Newton's second law of motion as shown below;

F = ma

where;

F is the applied forcem is the mass of the objecta is the acceleration of the object

The acceleration of the object is calculated as follows;

a = F/m

at time, t 4.0 s, the corresponding force = 2 N

a = 2/2

a = 1 m/s²

Velocity of the object is calculated as;

v = u + at

v = 0 + 1 x 4

v = 4 m/s

Thus, the object's velocity accelerating from rest from the applied force and time is closest to 4 m/s.

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When we harness energy using photovoltic cells in a large panel on the roofs of buildings, we are using
power

A solar

B geothermal

C wind

D biomass

Answers

Answer:

solar

Explanation:

this is a form of solar panel

A brass ring of diameter 10. 00 cm at 14. 3°c is heated and slipped over an aluminum rod of diameter 10. 01 cm at 14. 3°c. Assume the average coefficients of linear expansion are constant

Answers

The coefficients js sis sided Iskenderun Diane Edison sn

Temperature for combination be cooled to separate the brass ring of diameter 10.00 cm at 14.3°c and an aluminum rod of diameter 10.01 cm at 14.3°c is -204.7° C, which is not attainable.

What is linear expansion?

The linear expansion is the expansions of metal when they are heated and their length is changed along one direction.

A brass ring of diameter 10. 00 cm at 14. 3°c is heated and slipped over an aluminum rod of diameter 10. 01 cm at 14. 3°c. Assume the average coefficients of linear expansion are constant

(a) To what temperature must the combination be cooled to separate the two metals?

To find the temperature, use the following formula,

[tex]T=T_o+\dfrac{d_o^A-d_o^B}{\alpha _Ad_o^A-\alpha _Ad_o^B}[/tex]

Put the values,

[tex]T=14.3+\dfrac{10.01-10}{(19\times10^{-6})(10.01)-(24\times10^{-6})(10)}\\T=-204.7^o C[/tex]

Thus, temperature for combination be cooled to separate the brass ring of diameter 10.00 cm at 14.3°c and an aluminum rod of diameter 10.01 cm at 14.3°c is -204.7° C, which is not attainable.

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Money functions primarily as a medium of
a unit of
and a store of value.
.

Answers

Answer:

buying and selling goods and services. and exchange account

Explanation:

:)

Answer:

when money is used to intermediate the exchange of goods and services

The following equation illustrates the chemical reaction that occurs in a plant.

water + carbon dioxide + light energy → sugar + oxygen

Based on the law of conservation of energy, what happened to the light energy in the reaction?

A. It was produced by the plant.

B. It was changed into oxygen gas.

C. It was destroyed during the chemical reaction.

D. It was converted into chemical energy stored in the sugar.

Answers

Answer:

option d

it was converted into chemical energy stored in the sugar

Answer:

D. It was converted into chemical energy stored in the sugar.

Explanation:

A. It was produced by the plant. This is false because light energy is a reactant and not a product formed by the plant.

B. It was changed into oxygen gas. This is false because light energy could not be transformed to oxygen gas by any chemical means. Instead, carbon dioxide leads to oxygen being produced by the plant.

C. It was destroyed during the chemical reaction. This is false, it cannot be destroyed during the chemical reaction. Instead, it was used up and converted into chemical energy stored in the sugar.

D. It was converted into chemical energy stored in the sugar. This is true.

hope this helps!! p.s. i really need brainliest :)

In one to two sentences, describe the relationship between harmonics and resonance frequency in a piano.

Answers

Most vibrating things have several resonant frequencies, and musical instruments often vibrate at harmonics of the fundamental frequency. An integer (whole number) multiple of the fundamental frequency is defined as a harmonic.

In a Piano the relation between harmonic and resonance frequency is n_{1} : n_{2} : n_{3} = 1:2:3.

What is harmonic and resonance ?

"It is wave having frequency which is multiple integral of the fundamental frequency. The fundamental frequency is called first Harmonic. If a body starts vibration under impact of external vibrational force , is called Resonance. Since a Piano can produce all type of frequencies due to resonance therefore it produces melodious sound. Hence relation between harmonic and resonance frequency is n_{1} : n_{2} : n_{3}= 1:2:3."

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please solve this as fast as you can​

Answers

B

The combustion of the fuel in the helicopter is chemical energy. The vertical change in height is the result of kinetic energy. Because the helicopter is hovering in the air, it has gravitational potential.

Answer:

this would be B friend :)

Explanation:

A bowling ball pushes a pin down. What is the reaction force?
A. The pin pushes back on the bowling ball.
B. The lane pushes back onto the bowling ball
C. The lane pushes back onto the pin

Answers

c because if you c the lane pushed back into the pin then it’s c

What is the period of a wave traveling with a speed of 20 m/s and the wavelength is 4.0 m?​

Answers

Answer:

0.2s

Explanation:

wave formula

v=(lambda)f

20=(4)f

20÷4

=5Hz

1÷5

T=0.2s

The period of a wave travelling with a speed of 20 m/s and the wavelength is 4.0 m is 0.2 sec.

What is time period?

The length of time it takes a wave to complete one cycle is known as the wave's period. The frequency of the wave must be known in order to compute the wave period. The number of cycles a wave may complete in a period of time—typically one second—is its frequency.

wave formula

v = (lambda)f

20 = (4)f

20÷4

f = 5 Hz

T = 1/f

T = 1÷5

T = 0.2 sec

The period of a wave travelling with a speed of 20 m/s and the wavelength is 4.0 m is 0.2 sec.

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Your friend phred says ""i decided to make one of those online personality tests as a project in my psychology class. how hard can it be?"" part a: explain whether or not phred should use the following personality theories as a basis for his online personality test. • psychoanalytic perspective• humanistic theory• trait theory

Answers

Fredd must use the trait theory for the online personality tests because it is based on distinctive features.

What is the trait theory?

The trait theory is a model that states people have certain basic personality traits which are distinctive features.

The trait theory is always based on the strength of these basic human trait characteristics.

The trait theory is based on three types of features capable of being used to describe personality, which include stability, consistency and individual differences.

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Other Questions
160 C B What is the mABC ? Type your response in the box.review the essay you wrote, and look for five words that you struggled to spell correctly. list those words andprovide a definition for each one. Question 6 (10 points)Use The Plano Shop on the Left Bank and "Those Old Piano Blues" to answer the question below.What feeling is conveyed by both the excerpt from The Piano Shop on the Left Bank and the excerpt from the article "Those Old Piano Blues? PLEASE HELP!!!!Plant Structure and Function LabTitle: Plant Structure and Function LabObjectives: After doing this lab, you should be able to: Identify the correct plant tissues from the corresponding slides. Identify the different structures of a flower. Describe the functions of each flower structure. Describe the functions of each plant tissue. Answer the Analysis and Conclusion questions using multiple sentences.Materials: Flower Scissors Tape Tweezers Lab ReportProcedure:Plant Tissues Part 1Review each image in your lab activity slide show. Identify the correct tissue or organ below based on each individual slide. Several of these choices may be use multiple times. phloem stoma xylem guard cells dermal ground vascularSlide 1_____Slide 2_____Slide 3______Slide 4_____Slide 5a. xylem___a. guard cells_a. vascular__a. vascular___a. vascularb. phloem__b. stoma____b. dermal___b. ground____b. ground____________________c. ground___c. dermal_____c. dermal____________________d. dermal_______________________.Flower Dissection - Part 2 Pick a flower from your yard, a public location, or somewhere in your neighborhood. Start by removing the sepals of the flower with a tweezer. If you do not have a tweezer, a small pair of scissors will also work. It may be easiest to do this if you hold the flower with your finger from below the pedicel (small stalk just underneath the flower) and begin to remove the sepals with a pair of tweezers. Using tweezers, place the sepals on the labelled printable worksheet, and tape them in place. Repeat the same procedure for the petals and pistil. Remove all but one of the stamens and tape them onto the worksheet. On your printable worksheet, you should have sepals, petals, stamens and one pistil. Take a picture of your worksheet with the flower pieces placed correctly, and save it on your computer. You will attach and submit this with your assessment questions.Data: Flower DissectionName of Flower Component Piece of Flower from Lab FunctionSepal Petals Stamen Pistil Analysis and Conclusion - Part 3Plant Tissues:1. What are three characteristics that all species belonging to the plant kingdom have in common?2. How will the numbers of stomata differ in tropical plants and desert plants? How does this help protect the health of a plant? 3. If a plant's xylem and phloem become damaged, what type of damage will result within the plant? Describe the different roles on the xylem and phloem in your answer.4. Why do we compare the dermal tissue of plants to human skin? Explain your answer.5. Would a plant be able to survive if the ground tissue was damaged? Explain your answer.Flowering Reproduction:1. Describe how flowering plants reproduce.2. How do flowers help other organisms in our environment? 3. Which parts of a plant are responsible for reproduction? Describe the role that each of them will play.4. Describe what occurs during the process of seed development.5. Based on your knowledge of flowers, why do you think most flowers are bright in color? Please I need answer quickly how many ways can you form 3 groups from 18 people so that there's 3 people in first group, 6 people in the second group and 9 people in third Assuming that the population was in hardy-weinberg equilibrium for the g locus, what percentage of moths in the natural population was white in 1962 ?. maximum numbers of circles can be drawn through three noncollinear point is 100 POINTS !! The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial speed of 70 meters per second can be modeled by the parabola f(x) = x 0.002x2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the potato travels before hitting the ground. A.height: 125 m; distance: 500 m B.height: 250 m; distance: 22 m C. height: 500 m; distance: 125 m D. height: 22 m; distance: 250 m What expression is equivalent to (x^4/3 x^2/3) ^1/3 Read the excerpt from act 5, scene 1, of julius caesar. octavius. come, come, the cause. if arguing make us sweat, the proof of it will turn to redder drops. look, i draw a sword against conspirators. when think you that the sword goes up again? never, till caesars three and thirty wounds be well avenged, or till another caesar have added slaughter to the sword of traitors. how does shakespeares use of the word slaughter rather than murder affect the meaning of the passage? it suggests that others have already killed many who had a hand in caesars death. it describes the number of wounds that caesar suffered. it emphasizes the savagery of the assassins actions toward caesar. it suggests that the play was filled with many brutal deaths including those caused from swords. How can technology be bad or good? Juwan and his friend Jamie are watching their favorite tech penny stocks in the stock market. The initial value of Jamies stock was $4.00, while Juwans stocks initial value was $0.00. Because of some incredible turns in the market this morning, the stocks are now increasing in value. Every time Juwans stock rises by $4.00, Jamies stock increases by $3.00. If these stock gains remain constant throughout the day, perform the following:a. Convert this scenario into two linear equations; show both the standard form and the slope-intercept form for both equations. b. Explain how you decided to label the axes.c. What are the realistic bounds for the domain and range of todays stock gains? Explain your answer.d. Does this scenario imply correlation or causation? Explain your answer. Which of the following contains an example of an infinitive?O A. Running the 5K race was easy for Jon because he was used torunning marathons.OB. To run is to feel alive!O C. The running man waved as he crossed the finish line.OD. None of the above 14. Calculate the mass in grams of oxygen required to react completly with 0.75 moles of Aluminum.4Al + 302 2Al2O3a. 32 g of Oxygenb. 18 g of Oxygenc. 16 g of Oxygend. 9.0 g of Oxygen The concept of _________ allows for the limited use of copyrighted material without obtaining permission from the copyright holder. What were the nearest cross streets to Carnegie Deli (when it was open)? [tex]f(x) = 4x + 3[/tex][tex]g(x) = 5x - 4[/tex][tex]fg(x) = 20x + p[/tex]Find the value of [tex]p[/tex] PLEASE HELP WITH THIS ASSIGNMENTThe United States is a mixed market economy based on the ideals of capitalism and a representative republic. However, some argue that the US government is too big and overreaching. Conversely, others argue the government is needed to protect consumers from deceptive business practices, and more regulation and government oversight is the answer. What are your thoughts? Is the US government too big or not big enough? A car travels at a speed of 40 m/s for 29.0 s;what is the distance traveled by the car? Why would itbe better to measure the length of your classroom withmeterstick instead of a centimeter ruler?