A certain converging lens has a focal length of 25 cm. To obtain a combination of power of 3.0 diopters, the lens should be combined with a second. a. diverging lens of focal length 5.0 cm. b. diverging lens of focal length 8.0 cm. c. diverging lens of focal length 100 cm. d.converging lens of focal length 100 cm. e. converging lens of focal length 8.0 cm.

Answers

Answer 1

To obtain a combination of power of 3.0 diopters, the lens should be combined with a second diverging lens of focal length 8.0 cm. The correct answer is option b.

To obtain a combination of power of 3.0 diopters, we can use the formula:

P = P1 + P2 - (d/P1 x P2)

Where P1 and P2 are the powers of the two lenses, d is the distance between the two lenses, and P is the combined power.

Substituting the given values, we get:

3.0 = P1 + P2 - (d/P1 x P2)

We know that the focal length of the first lens is 25 cm. So, its power P1 is:

P1 = 1/f1 = 1/25 = 0.04 diopters

Substituting this value and the given values, we get:

3.0 = 0.04 + P2 - (d/0.04 x P2)

Multiplying both sides by 0.04P2 and rearranging, we get:

0.12P2 - 3.0P2 + 75d = 0

Solving for d using the given options, we find that the only option that satisfies the equation is option b. a diverging lens of focal length 8.0 cm.

The distance between the two lenses is then:

d = (P1 x P2)/(3.0 - P1 - P2) = (0.04 x (-12))/(3.0 - 0.04 - (-12)) = 8.0 cm

Hence, option b is correct.

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Related Questions

in a paragraph explain how electncity is generated at a power plant. please don't answer if you don't know ​

Answers

Answer:

A turbine spins to generate electricity. There are many ways to spin the turbine by using water, steam, nuclear and so on.

An experiment is designed to test what color of light will activate a photoelectric cell the best. The photocell is set in a circuit that "clicks" in response to current. The faster the current, the more clicks per minute. In this experiment, the number of clicks in one minute is recorded for each color of light shining on the photocell. To change the color of light, a different color of cellophane is placed over the same flashlight and the flashlight is then located a specific distance from the photocell.

Which of the following was not kept constant?


the color of the light after it has passed through the cellophane
the source of the original light
the distance of the light from the photocell
the test for photocell activation

Answers

Answer:

the color of the light after it has passed through the cellophane

Explanation:

Since in the given experiment, there is an impact of various colors of light on the cell i.e. photoelectric that should be measured. The photocell should be placed in a circuit when the current would passed. For every color that falls on the photocell, the value of the current that passed via the cell represent an idea.

In the given situation the color of light shows an independent variable and the dependent variable is clicks per minute or the current that passed through the cell

Answer:

A-the color of the light after it has passed through the cellophane

Explanation:

What are the three physical things that can reduce the chances of injury while catching a fastball.

Answers

Answer:

Breaking bones, injuring tendons, bruising

Explanation:

If you climb to the top of Mt. Everest, you will be 8850 m (about 5.50 mi) above sea level.
What is the acceleration due to gravity at this altitude?

Answers

Answer:

9.773m/s2

Explanation:

Given,

h=8848m

The value of sea level is 9.08m/s2

So,

Let g′ be the acceleration due to the gravity on the Mount Everest.

g′=g(1−h2h)

=9.8(1−640000017696)

=9.8(1−0.00276)

9.8×0.99724

=9.773m/s2

Thus, the acceleration due to gravity on the top of Mount Everest is =9.773m/s2

Hope it helped!!!

PLEASSSSSEE! PLEASE ANSWER!!! I AM DESPERATE AND THIS IS EXTEMELY URGENT! I NEED AN ANSWER ASAPPP!!!!

Answers

Answer:

most potential is someone in an airplane. second is position A, third is position c, fourth is position D, fifth is position B and least potential is a person standing on the ground.

Explanation:

hopefully you understand what I wrote

If a 2 kg ball is moving at 6 m/s to the right and then hits a wall and bounces back at - 4 m/s (left), what is the change in momentum (in kg*m/s)?

Answers

Answer:

Explanation:

Givens

delta mv = ?

m = 2 kg

vi = 6 m/s   right is positive

vf = - 4 m/s  left

Formula

delta mv = m (vf - vi)

Solution

delta mv = 2 * (-4 - 6)

delta mv = 2 * - 10

delta mv = - 20 kg m/s

Type the correct answer in the box. Use numerals instead of words. Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample's volume? The sample's volume is cm3.

Answers

Answer:

10cm^3

Explanation:

Given data

Mass of steel = 80grams

density of steel= 8 g/cm^3

We know that the formula for density is given as

density= mass/volume

make volume subject of formula

volume= mass/density

volume=80/8

volume= 10cm^3

Hence, the volume 10cm^3

why was galileo unable to formulate equations to describe motion?

Answers

Answer: Galileo's laws of Motion determined that the natural state of an object is rest or uniform motion, objects always have a velocity, sometimes that velocity has a magnitude of zero rest. objects resist change in motion, which is called inertia.

Explanation:

Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.

Galileo introduced two different propositions to describe motion of an object, which includes;

uniform acceleration of an objectfree fall of objects

Galileo considered to define uniform acceleration as change in speed over equal change in distance or change in velocity over equal change in time of motion.

Galileo chose the later definition, "uniform acceleration as the change in velocity over equal change in time of motion".

Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.

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Which body system allows the student to sense the water and sand textures?

Muscular


Nervous

Skeletal

Immune

Answers

The body system that allows students to sense the water and sand textures is the nervous system

Option B is correct. The nervous system is also known as the neural system which is basically a sophisticated network of neurons that are trained to transport information.

What is the nervous system?

The nervous system is also known as the neural system which is basically a sophisticated network of neurons that are trained to transport information.

As we get to higher animals, the nervous system becomes more complicated. jellyfish, have very basic neural nets that run throughout their bodies. Crabs have a more complex nervous system.

The neural system in the human body combines organ activity depending on inputs detected and sent by neurons. They send out information.

Thus Option B is correct.

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A 2. 4 kg toy falls from 2 m to 1 m. What is the change in GPE

Answers

The change in gravitational potential energy (GPE) is approximately 19.6 J. The change in GPE can be calculated using the formula: ΔGPE = m * g * Δh,

where m is the mass (2.4 kg), g is the acceleration due to gravity (9.8 m/s²), and Δh is the change in height (2 m - 1 m = 1 m). Plugging in the values, we get: ΔGPE = 2.4 kg * 9.8 m/s² * 1 m = 23.52 J. Rounding to the nearest tenth, the change in GPE is approximately 19.6 J. The change in gravitational potential energy (GPE) is approximately 19.6 J. The change in GPE can be calculated using the formula: ΔGPE = m * g * Δh, where m is the mass (2.4 kg), g is the acceleration due to gravity (9.8 m/s²), and Δh is the change in height (2 m - 1 m = 1 m). Plugging in the values, we get: ΔGPE = 2.4 kg * 9.8 m/s² * 1 m = 23.52 J.

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Consider two equally charged objects separated by a short distance.  According to Coulomb’s Law, how does doubling the charge on one object affect the electric force present between two charged objects

Question 4 options:
A. results in one-half of the original electric force
B. results in one-fourth of the original electric force
C. increases the electric force by a factor of four
D. double force by a factor of four

Answers

Answer:

Coulomb's Law states

F = K Q1 * Q2 / R^2      where K is the force constant

F2 / F1 = 2 Q1 * Q2 / (Q1 * Q2) = 2   where one of the charges is doubled

So the force will be doubled  (D looks rather vague but it cannot be the other three)

what is the area of a car that touches the road if the car's weight on that tire is 3072 N and the pressure exerted on the road is 48 pa​

Answers

Answer:

Car's touch area = 64 m²

Explanation:

Given:

Weight of car = 3,072 N

Pressure = 48 pa

Find:

Car's touch area

Computation:

Area = Force / Pressure

Car's touch area = 3,072 / 48

Car's touch area = 64 m²

Lucas works in a laboratory that conducts research on the use of transgenic plants to make antibodies and hormones. What field is Lucas working in?
a) genetic engineering
b) biopharming
c) agricultural science
d) bioengineering

Answers

Lucas works in the biopharming field. (Hope it’s right!)
The answer is b hope this help

3 Below, someone is trying to balance a plank with
stones. The plank has negligible weight.
a Calculate the moment of the 4 N force about O.
b Calculate the moment of the 6 N force about O.
- 2 m *
2 m-*
4 m
Р
1
4N
6N

Answers

Answer:

a. The moment of the 4 N force is 16 N·m clockwise

b. The moment of the 6 N force is 12 N·m anticlockwise

Explanation:

In the figure, we have;

The distance from the point 'O', to the 6 N force = 2 m

The position of the 6 N force relative to the point 'O' = To the left of 'O'

The distance from the point 'O', to the 4 N force = 4 m

The position of the 4 N force relative to the point 'O' = To the right of 'O'

a. The moment of a force about a point, M = The force, F × The perpendicular distance of the force from the point

a. The moment of the 4 N force = 4 N × 4 m = 16 N·m clockwise

b. The moment of the 6 N force = 6 N × 2 m = 12 N·m anticlockwise.

George rides his bike to his friend’s house that is 5 kilometers from his house. If he rides his bike at an average speed of 15 km/h, how long will it take him to get to his friend’s house?

Answers

Answer:

The answer is 0.33 H!

Explanation:

a speaker puts out 25 w. what would be the decibel level for a person standing 8.0 m away?

Answers

A speaker putting out 25 watts would have a decibel level of approximately 61 dB for a person standing 8.0 meters away.

To calculate the decibel level, we need to use the formula: dB = 10 log (P2/P1), where P2 is the power output (in watts) and P1 is the reference power (in watts). The reference power is typically 0.00002 watts, which is the threshold of human hearing.

Using the formula, we get: dB = 10 log (25/0.00002) = 60.96 dB, which we can round up to 61 dB.

It's important to note that decibel levels are logarithmic, which means that a small increase in power output can result in a large increase in decibel level. In this case, if the speaker's power output was doubled to 50 watts, the decibel level would increase to approximately 64 dB, which is significantly louder.

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find the weight of an astronaut whose mass is 75 kg on the moon

Answers

The formula for weight is always weight=mass X gravitational field strength.
We already know the mass is 75kg.
The gravitational field strength on the moon is 1.6N. To find out the weight, we can substitute these values in to the formula.
Weight=75 X 1.6
Weight= 120N
Weight is measured on Neutons as it is a force.

a driver drives to depth of 20cm below the surface of water of density 1.0x10 cubed km3 the pressure he experiences isNm-2​

Answers

Answer:

[tex]20.61\times 10^{5}Nm^{-2}[/tex]

Explanation:

We are given that

h=20 cm=0.20m

1m=100 cm

Density of water=[tex]\rho=1.0\times 10^3 kg/m^3[/tex]

We have to find the pressure experienced by driver at that depth.

Atmospheric pressure, P0=101 kPa

Pressure experience by driver

[tex]P=\rho hg+P_0[/tex]

Where [tex]g=9.8[/tex]

[tex]P=1.0\times 10^3\times 0.20\times 9.8+101[/tex]

[tex]P=2061KPa[/tex]

1 KPa=[tex]1000Nm^{-2}[/tex]

[tex]P=2061\times 1000=2061000N/m^2[/tex]

[tex]P=20.61\times 10^{5}Nm^{-2}[/tex]

When the distance between two charges decreases, the electric force. 

Question 8 options:
A. Decrease
B. Only decreased if both charges are opposites
C. Increase
D. Only increase if both charges are positive

Answers

Answer:

Increase.

Explanation:

The force between two charges is given by :

[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]

Where

k is electrostatic constant

d is the distance between two charges

The force is inversely proportional to the distance between charges. It means when the distance between two charges decreases, the electric force will increase. Hence, the correct option is (c) "increase".

What is the plate tectonic theory? *

Answers

Answer:

Plate tectonics is a scientific theory describing the large-scale motion of seven large plates and the movements of a larger number of smaller plates of Earth's lithosphere, since tectonic processes began on Earth between 3.3 and 3.5 billion years ago

If you mix cold milk with hot coffee in an insulated Styrofoam TMTM cup, which of the following things happens?
A. The entropy of the milk increases.
B. The entropy of the coffee decreases by the same amount that the entropy of the milk increases.
C. The net entropy of the coffee-milk mixture does not change, because no heat was added to this system.
D. The entropy of the coffee-milk mixture increases.

Answers

The mixing of cold milk with hot coffee in an insulated Styrofoam TMTM cup is an example of heat transfer. Heat is transferred from the hot coffee to the cold milk until they reach thermal equilibrium.

During this process, the total entropy of the system, which includes the coffee, milk, and the Styrofoam cup, increases. This is because heat is transferred from the hot coffee to the cold milk, and the entropy of the cold milk increases more than the entropy of the hot coffee decreases.

Therefore, the correct answer is D. The entropy of the coffee-milk mixture increases.

When cold milk is mixed with hot coffee in an insulated Styrofoam TMTM cup, the entropy of the system increases. This means that the disorder or randomness of the particles within the system increases.

In this case, the milk particles gain energy and move faster, increasing their entropy. At the same time, the coffee particles lose energy and slow down, decreasing their entropy. However, because the system is insulated, no heat is added to or removed from it, which means that the overall entropy of the coffee-milk mixture does not change. Therefore, the correct answer is C - the net entropy of the coffee-milk mixture does not change because no heat was added to the system. It's worth noting that the Styrofoam TMTM cup is insulated and helps to reduce the transfer of heat between the system and the surroundings, which is why the heat exchange is limited to the coffee and milk mixture only.

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Identifique el tipo de variable para cada situación dada (cualitativa: nominal u ordinal) o (cuantitativa: continua o discreta)

Answers

For people who don't speak Spanish.

translation:  

Identify the type of variable for each given situation (qualitative: nominal or ordinal) or (quantitative: continuous or discrete)

sorry though I cant answer your question.

When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. affects
D. structures

Answers

Answer:

c) affects

Explanation:

im like 90% sure

Look at the diagram provided. What would be the mechanical energy at Point #4?

Answers

Answer:

18000 J

Explanation:

From the question given above, the following data were obtained:

At point 4:

Mass of cart = 600 Kg

Velocity of cart (v) = 7.745 m/s

Kinetic energy (KE) =?

KE = ½mv²

KE = ½ × 600 × 7.745²

KE = 300 × 7.745²

KE ≈ 18000 J

Therefore, the mechanical energy of the cart at point 4 is 18000 J

A gas has an initial volume of 2.5 L at a temperature of 275 K and a pressure of 2.1 atm. The pressure of the gas increases to 2.7 atm, and the temperature of the gas increases to 298 K. What is the final volume of the gas, rounded to the nearest tenth? 2.1 L 2.5 L 2.7 L 3.0 L

Answers

Answer:

2.10L

Explanation:

Given data

V1= 2.5L

T1= 275K

P1= 2.1atm

P2= 2.7 atm

T2= 298K

V2= ???

Let us apply the gas equation

P1V1/T1= P2V2/T2

substitute into the expression we have

2.1*2.5/275= 2.7*V2/298

5.25/275= 2.7*V2/298

Cross multiply

275*2.7V2= 298*5.25

742.5V2= 1564.5

V2= 1564.5/742.5

V2= 2.10L

Hence the final volume is 2.10L

DEFINE KINETIC ENERGY AND PATAINTIA ENERGY please​

Answers

Answer:

1. Kinetic energy is the energy possessed by a body due to its motion. Potential energy is the energy possessed by a body due to its position or state. Kinetic energy can be transferred from one object to another, in case of collisions. Potential energy cannot be transferred. Thus, the potential energy is stored in the object due to its position, whereas the kinetic energy is possessed by an object due to motion.

Eg: A ball kept on the edge of the table possesses potential energy due to its height, whereas a ball falling down from the table will possess kinetic energy due to its motion.

2. The formula for Kinetic energy is as below: This means that kinetic energy is directly proportional to mass as well as velocity. But it is proportional to 1 unit of mass and a square of velocity. Hence, velocity has a greater effect on kinetic energy.…show more content…

3. The equation for kinetic energy is: .

Let’s calculate the kinetic energy of a 40 kg object traveling 15 m/s.

Solution: mass= 40kg, velocity= 15 m/s, so putting these numbers into the kinetic energy equation,

Now, let’s calculate the kinetic energy of a 40 kg object traveling 30 m/s.

Solution: mass= 40kg, velocity= 30 m/s, so putting these numbers into the kinetic energy equation, Thus, when we double the velocity of an object, its kinetic energy increases by four times. Hence the velocity of an object has more impact on kinetic energy than the mass of an object.

Explanation:

When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. Affect
D. Structures

Answers

D. structures
Because the structures in our body affect other systems in the body causing someone to get sick

Answer:

C. affects

Explanation:

affect means to impact or change. When the system fails it's it impacts or affects the others systems so they become sick.

Find the momentum of a 3.0 kg mass when it is stopped

Answers

Answer:

4,0kg it is stopped!!!!!

The momentum of the object with a mass of 3 kg and when the object is stopped is zero. There is no momentum taking place.

What is momentum?

Momentum is equal to the product of the mass and velocity of the object. Momentum is a vector quantity as it has both magnitude and direction. The unit of momentum is kg.m/s².  Momentum represents the mass of the moving body.

Momentum is represented as the letter p. p = m×v, where m is the mass of the body and v is the velocity of the object. Momentum is directly proportional to the velocity. The velocity of the object is defined as the rate of change of displacement per unit time.

From the given,

mass of the object = 3 kg

the velocity of the object = 0 (when the body is stopped v=0)

the momentum, p = m×v

p = 3×0

   = 0

The linear momentum of the object is zero.

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Which electromagnetic wave can be used to treat cancer? Group of answer choices a.microwaves b.gamma waves c.infrared waves d.xray waves

Answers

Answer:

Radiation therapy uses high-energy particles or waves, such as x-rays, gamma rays, electron beams, or protons, to destroy or damage cancer cells.Hope that helps

Which scientific activities will Juno conduct on its trip to Jupiter? Check all that apply.
a. measuring the amount of water in Jupiter’s atmosphere
b. landing on the planet surface to collect rock samples
c. taking images of the planet using infrared cameras
d. taking chemical “fingerprints” of Jupiter’s gases
e. mapping Jupiter’s gravitational and magnetic field
f. transporting astronauts to the planet

Answers

Explanation:

Hope this helps,

Juno entered a polar orbit of Jupiter on July 5th 2016 UTC, to begin a scientific investigation of the planet. After completing its mission, Juno will be intentionally deorbited into Jupiters atmosphere. Junos mission is to measure Jupiters composition, gravitational field, magnetic field, and polar magnetosphere.

Answer:

1

3

4

5

or

a

c

d

e

Explanation:

Other Questions
Define the linear transformation T: Rn Rm by T(v) = Av. Find the dimensions of Rn and Rm. A = 0 5 1 4 1 2 1 1 1 3 0 0 dimension of Rn dimension of Rm A laboratory within Bayer is considering the five indivisible investment proposals below to further upgrade their diagnostic capabilities to ensure continued leadership and state-of-the-art performance. The laboratory uses a 10-year planning horizon, has a MARR of 10%, and a capital limit of $1,000,000. For the original opportunity statement: a. Which alternatives should be selected to form the optimum portfolio for the lab? b. What is the present worth for the optimum investment portfolio? c. What is the IRR for the portfolio? Suzie Jones felt her heart pounding and the sweat dripping from her forehead as she ran the last mile through her neighborhood. She had left home at noon and had run around the high school track for what seemed like hours. She felt tired when she started, but found it pleasurable to drive her body to a point of exhaustion, believing that she could run forever on that warm spring afternoon. As a child, she had hated exercising, but now she found it helped clear her head and get her thoughts into perspective. Suzie felt light-headed as she rounded the corner for home. "Funny," she thought. "Where's Mom's car?" She saw a note taped to the garage door. David's had an accident, come to the hospital ASAP. "This time next year l'll be able to drive," muttered Suzie as she started to run the mile to the hospital. Suzie entered the Emergency Room and saw her mother sitting with her brother Dave's baseball coach. "What happened?" asked Suzie. Mrs. Jones looked at the coach and he answered: "A freak accident. Dave rolled his ankle as he was rounding first base. He hit the ground and we all thought that his leg was broken, but the x-rays proved us wrong. It's just a badly sprained ankle." Question 2 of 10Which statement is the most likely conclusion you can draw from the cause-and-effect relationship shown in the diagram?CauseMore factories are builtin cities after theIndustrial Revolution.EffectThe population ofcities grows. Read the poem "Jerusalem" by William Blake, and then answer the questions that follow. Jerusalem And did those feet in ancient time Walk upon Englands mountain green? And was the holy Lamb of God On Englands pleasant pastures seen? And did the Countenance Divine Shine forth upon our clouded hills? And was Jerusalem builded here Among these dark Satanic mills? Bring me my bow of burning gold! Bring me my arrows of desire! Bring me my spear! O clouds, unfold! Bring me my chariot fire. I will not cease from mental fight, Nor shall my sword sleep in my hand Til we have built Jerusalem In Englands green and pleasant land. In the fourth stanza, what course of action does he propose? We need a logic circuit that gives an output X that is high only if a given hexadecimal digit is even (including 0) and less than 7, The inputs to the logic circuit are the bits 8, B4, B2, and B1 of the binary equivalent for the hexadecimal digit. (The MSB is B8, and the LSB is B1.) Construct a truth table and the Karnaugh map; then, write the minimized SOP expression for X. most early women's prisons employed ________, which was different from the ________ of men's prison Select the correct answer.Read these excerpts from "President Obama's Farewell Address" and W. E. B. Du Bois's The Souls of Black Folk.President Obama's Farewell AddressSo if we're going to be serious about race going forward, we need to uphold laws against discrimination in hiring, and in housing, and in education, and in the criminal justice system.... That is what our Constitution and our highest ideals require.For blacks and other minority groups, it means tying our own very real struggles for justice to the challenges that a lot of people in this country face not only the refugee, or the immigrant, or the rural poor, or the transgender American, but also the middle-aged white guy who, from the outside, may seem like he's got advantages, but has seen his world upended by economic and cultural and technological change. We have to pay attention, and listen.W. E. B. Du Bois's The Souls of Black FolkThis group of men honor Mr. Washington for his attitude of conciliation toward the white South; they accept the "Atlanta Compromise" in its broadest interpretation; they recognize, with him, many signs of promise, many men of high purpose and fair judgment, in this section; they know that no easy task has been laid upon a region already tottering under heavy burdens. But, nevertheless, they insist that the way to truth and right lies in straightforward honesty, not in indiscriminate flattery; in praising those of the South who do well and criticising uncompromisingly those who do ill; in taking advantage of the opportunities at hand and urging their fellows to do the same, but at the same time in remembering that only a firm adherence to their higher ideals and aspirations will ever keep those ideals within the realm of possibility. They do not expect that the free right to vote, to enjoy civic rights, and to be educated, will come in a moment; they do not expect to see the bias and prejudices of years disappear at the blast of a trumpet; but they are absolutely certain that the way for a people to gain their reasonable rights is not by voluntarily throwing them away and insisting that they do not want them; that the way for a people to gain respect is not by continually belittling and ridiculing themselves; that, on the contrary, Negroes must insist continually, in season and out of season, that voting is necessary to modern manhood, that color discrimination is barbarism, and that black boys need education as well as white boys.How do President Obama and W. E. B. Du Bois address the concept of discrimination similarly? A. Both men put their faith in the government to safeguard citizens' rights. B. Both men call for immediate change in current practices. C. Both men express the need for rights and freedoms to be upheld. D. Both men express gratitude for the improvement of American ideals. how much fragmentation would you expect to occur using paging. Let A = {x.y)ER^2: x^2-1 how many conservative justices are on the supreme court diesel engines are usually more efficient than gasoline engines thanks to higher compression engine, however, they generate more nitrogen oxides (nox) and soot emissions than gasoline engine. (True or False) An Oil Change Express station has been recruiting a mechanic to perform express oil changes. Two candidates have applied for the mechanic position. Oliver Oilman just graduated with his certification in Auto Mechanics and expects a $29 per hour salary. His average service time for an oil change is 16 minutes. Chandler Changer is a veteran mechanic who is requesting $45 per hour. However, given his experience, on average he is able to complete an oil change is 11 minutes. Factoring in goodwill, the cost for customer waiting is $33 per hour (this includes both time spent waiting for service to begin and the time for the actual oil change). Customer's arrive for oil changes at an average rate of 2.75 per hour.a.What is the average waiting time customers would spend in the system under each applicant?b.Which applicant should be hired? (Use cost analysis.) any form of collusion among brokers or real estate boards in the fixing of commission rates is illegal and is called determine a basis for the set spanned by the vectors v1 = [1 2 3] , v2 = [3 6 9] , v3 = [1 3 5] , v4 = [5 11 17] , v5 = [2 7 12] , v6 = [2 0 0]A. {V2, V3, V6}B. {V1, V2, V6}C. {V1, V3, V6}D. {V3, V4, V5}E. {V1, V3, V5} ARTICLE:A 1To survive, a plant needs water and2A plant also needs mineralsenergyfrom the soil and a gas called carbondioxide, or CO, from the air. 3Mineralsare elements such as nitrogen andphosphorus that are found in theground and that plants need to stayhealthy 4Carbon dioxide is a gas thatplants use to make food.B5 You already know that each plantcell has structures that help the cellsurvive. 6The whole plant also needsstructures. 7For example, a planthas one structure to get water and adifferent structure to gather sunlight.8Plants use roots to get water andminerals from the soil.9 Roots arestructures that also anchor plants tothe ground. 10Plants trap energy fromsunlight in their leaves. 11Leaves alsobring CO, gas into the plants. 12Doyou know what structures raise plantsabove the ground? 13For flowers andtrees, it is the stems and trunks thatelevate the plants.C 14Sometimes it is not easy tounderstand what each plant structuredoes. 15But often, its function can bediscovered by imagining what wouldhappen to the whole plant if one of itsparts were damaged or removedD 16For example, think about a bicycle.17What is the function of a bicycle'shandlebars? 18 Answer by thinking whatwould happen if the handlebars werebroken or missing. 19You could not steerthe bicycle. 20Therefore, the functionof handlebars is to steer a bicycle. 21Whatwould happen if a tire went flat? 22 Thebicycle would no longer ride smoothly. 23We can use a table to organize such information.E 24 The table below lists some bicycleparts. 25 Their functions were foundby asking, "What would happen to thebicycle if the part were damaged ormissing?"QUESTIONS:For each statement, circle Tor F for true or false. In theblanks, write the number(s) of theSENTENCE(s) that gives the bestevidence for the answer.a. CO exists in the atmosphereas part of the air.T. Or F sentence __________b. Phosphorus is a gasplants need to survive.T. Or F. sentence __________sentence 2 __________c. Carbon dioxide is a mineral.T. Or. F. sentence __________d. The only function of roots is toanchor a plant. T. Or. F sentence __________sentence 2 __________2. What is the most likely meaning ofanchor as used in sentence 9?a. loosen upb. hold downc. release fromd. hang on3. What would happen to a plant ifsome of its structures failed tofunction?______________________________________________________Write the number of the sentencethat gives the best evidence forthe answer.____4. What is the likely meaning ofelevate as it is used in sentence13?a. bring downb. move sidewaysc. trim shorterd. make higher5. What would be a good reason toelevate a plant?__________________________________________________________________Write the number of theparagraph that gives the bestevidence for the answer._____6. Think about the Parts of a Bicyclechart in the lesson. The functionof each part was learned afterthinking about what would happenif the part were missing. Use thesame kind of thinking to completethe Parts of a Plant chart below.Also, use information about plantparts from the lesson. Find the linear speed v for the following. a point on the edge of a flywheel of radius 2m rotating 42 times per min please help me with this!! what are two examples of divisions between demographic groups leading to conflict in the deceaseds after the world war 2? if the sum of net exports, net income received from abroad, and net transfer payments from abroad yields a negative number, we say that a countrys __________. The ph of a 0.77m solution of 4-pyridinecarboxylic acid hc6h4no2 is measured to be 2.54. Calculate the acid dissociation constant Ka of 4-pyridinecarboxlic acid. Round your answer to 2 significant digits