a 40.0 kilogram child exerts a 100 newton force on a 50.0 kilogram object the magnitude of the force that the object exerts on the child is?
A) 0.0N
B) 80.0N
C) 100N
D) 125N

Answers

Answer 1

Answer:

The answer is choice C.

Explanation:

According to Newtons third law of motion, the force that object exerts on the child is equal and opposite to the force that the child exerts on the object:

[tex]F_{child}=-F_{object}[/tex]

Thus if the child exerts a force of 100 newtons on the object, the object must also exert a force of 100 newtons on the child but in the opposite direction.

Answer 2

The magnitude of the force the object exerts on the child is 100 N.

The given parameters;

mass of the child, m = 40 kgforce exerted by the child, F = 100 Nmass of the object = 50 kg

According to Newton's third law of motion, for every action there is an equal and opposite reaction.

The magnitude of the force the child exerted on the object is equal to the force the object exerted on the child.The direction of these forces are opposite.

Thus, the magnitude of the force the object exerts on the child is 100 N.

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Related Questions

1. a. What is the name of the 2d Century Roman Scientist and Astrologer who created a set of "Handy
Tables of data to compute the position of the Sun, moon and stars?

Answers

Answer:

Ptolemy

Explanation:

Answer:

the name of the 2d Century Roman Scientist and Astrologer who created a set of "Handy  Tables of data to compute the position of the Sun, moon and stars" is:

Claudius Ptolemy.

Explanation:

Ptolemy lived between the year 100 and the year 170 (2nd century), time in which he contributed different bases to astronomy, geography and even astrology. In the first-mentioned area, his geocentric model can be highlighted, with which he mentioned that the Earth It was the center of the universe and therefore it was motionless in the middle of it, and other stars such as the sun or the moon revolved around it and, although in that reasoning it was wrong, it provided fairly accurate means for the time in which the displacement and retrogradation of the planets can be calculated.

A copper sphere was moving at 40 m/s when it hit another object. This caused all of the KE to be converted into thermal energy for the copper sphere. If the specific heat capacity of copper is 387 J/(kg ⋅ C°), what was the increase in temperature?

0.23 C°
0.81 C°
1.3 C°
2.1 C°

Answers

Answer:

Temperature increase = 2.1 [C]

Explanation:

We need to identify the initial data of the problem.

v = velocity of the copper sphere = 40 [m/s]

Cp = heat capacity = 387 [J/kg*C]

The most important data given is the fact that when the shock occurs kinetic energy is transformed into thermal energy, therefore it will have to be:

[tex]E_{k}=Q\\ E_{k}= kinetic energy [J]\\Q=thermal energy [J]\\Re-employment values and equalizing equations\\\\\frac{1}{2} *m*v^{2}=m*C_{p}*dT  \\The masses are canceled \\\\dT=\frac{v^{2}}{C_{p} *2} \\dT=2.1 [C][/tex]

The correct option is d. 2.1°C. The increase in temperature of the copper sphere was approximately [tex]\( 2.1 \)[/tex]°C, which corresponds to answer choice D).

Given:

- Initial kinetic energy (KE) of the copper sphere = [tex]\( \frac{1}{2} mv^2 \)[/tex]

- Specific heat capacity of copper, [tex]\( c = 387 \)[/tex] J/(kg·°C)

The entire kinetic energy is converted into thermal energy, [tex]\( Q = mc\Delta T \)[/tex], where [tex]\( \Delta T \)[/tex] is the increase in temperature.

1. Calculate the initial kinetic energy:

[tex]\[ KE = \frac{1}{2} mv^2 \][/tex]

2. Set up the equation equating kinetic energy to thermal energy:

[tex]\[ \frac{1}{2} mv^2 = mc\Delta T \][/tex]

3. Solve for [tex]\( \Delta T \)[/tex]:

[tex]\[ \Delta T = \frac{\frac{1}{2} mv^2}{mc} \][/tex]

4. Substitute the given values:

[tex]\[ \Delta T = \frac{\frac{1}{2} \times m \times (40)^2}{m \times 387} \][/tex]

5. Simplify the expression:

[tex]\[ \Delta T = \frac{800 \times m}{387 \times m} \]\[ \Delta T = \frac{800}{387} \]\[ \Delta T \approx 2.065 \ \textdegree C} \][/tex]

Rounding to one decimal place, the increase in temperature [tex]\( \Delta T \)[/tex] is approximately  [tex]\( 2.1 \)[/tex]°C.

Therefore, the increase in temperature of the copper sphere was approximately [tex]\( 2.1 \)[/tex]°C, which corresponds to answer choice D).

A copper sphere was moving at 40 m/s when it hit another object. This caused all of the KE to be converted into thermal energy for the copper sphere. If the specific heat capacity of copper is 387 J/(kg ⋅ C°), what was the increase in temperature?

a. 0.23 C°

b. 0.81 C°

c. 1.3 C°

d. 2.1 C°

Is the net force up 0.2 N and down 3 N balanced or not blanced

Answers

Answer:

Not balanced

Explanation:

The force pulling the object up is applying less force than the object pulling down, this means the object will move down

Answer:

Not balanced

Explanation:

An electric heater of 1000w is used for 2 hours a day. What is the cost for using in for a month of 28 days, if 1 unit costs 3.00 rupees.

Answers

Explanation:

total consumption in a month - 1000×2×28= 56000 w-hrs

1 unit = 1Kwh

total unit in month = 56000/1000 = 56

total cost = 56×3 = 168 rs

how does earths movement through space impact the human experience

Answers

Answer:

In space, astronauts lose fluid volume—including up to 22% of their blood volume. Because it has less blood to pump, the heart will atrophy.Under the effects of the earth's gravity, blood and other body fluids are pulled towards the lower body.

Explanation:

12. A volcano erupts on Earth's surface causing a piece of rock with a mass of 95 kg to be ejected from rest to an acceleration of 9.5
m/s2. What force was exerted on the rock by the eruption? (TEK4D)
A 0IN
B 10.0N
C 95 N
D 902.5 N

Answers

Answer:

The force exerted on the rock by the eruption is, D. 902.5 N

Explanation:

Given data,

The mass of the rock ejected by the volcano, m = 95 kg

The acceleration of the ejected rock, a 9.5 m/s²

The force acting on an object is defined as the product of the mass and its acceleration. It is given by the relation,

                                 F = m x a

                                    = 95 x 9.5

                                    = 902.5 N

Hence, the force exerted on the rock by the eruption is, F = 902.5 N

Which structures protect the cell? Check all that apply.

- cell wall
- cell membrane
- mitochondrion
- nucleus
- ribosome
- Golgi body

Answers

Answer:

cell wall and cell membrane

Answer:

Cell wall and Cell membrane.

Explanation:

The cell membrane controls what goes in and out of the cell

What organism would be at the top of the energy pyramid
A) algae
B) barracuda
C) reef shark
D) snapper fish

Answers

The answer could be B. Reef shark

The greater the speed of speed gas particles in containers, the

Answers

Greater the collision

Explanation:

The greater the speed of gas particles in the containers, the greater the collision of gases with the container and between themselves.

The speed of gas molecules increases when their kinetic energy increases. This causes a surge in collision between the particles and the wall of the container. A gas is composed of large number of molecules moving at different speeds. When the temperature of gases are increased, they gain more kinetic energy and their speed will increase. This leads to an increase in effective collision between gas particles.

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A block of mass m = 75 kg is hanging on a vertical rope of length L = 12 m. What work is done by the
gravitational force when the block swings to a position where the rope makes an angle θ = 40° with
the vertical?

Answers

Answer:

2100 J

Explanation:

Draw a picture.  Notice that the rope forms a triangle, where the hypotenuse is L and the height is L cos θ.  The height of the mass is h.  The total height is L, so:

L = h + L cos θ

h = L − L cos θ

The work done by gravity is force times distance:

W = mgh

W = mg (L − L cos θ)

W = (75 kg) (9.8 m/s²) (12 m − 12 m cos 40°)

W = 2063 J

Rounding to two significant figures, the work done is 2100 J.

Neutrons released in a fission reaction can strike other nuclei and cause ______.
Question 16 options:

fusion reactions

chain reactions

radioactive decay

an electron avalanche

Answers

Chain reactions

Neutrons released in a fission reaction can strike other nuclei and cause chain reactions

Explanation:

In nuclear fission reactions, the heavier atoms split into into lighter atoms, releasing neutrons at high velocity in the process. The neutrons hit other heavier atoms in the vicinity and split them too releasing more neutrons. This continuation is called chain reaction. The more the released neutrons the higher the rate of chain reactions. This causes too much energy to be produced at a go until an enormous explosion occurs (like in bombs).

In controlled nuclear fission such as in nuclear reactors, the number of neutrons is controlled so as to prevent the reactor from exploding. A wall that absorbs excess neutrons is used to control the number of chain reactions to prevent the release of too much energy at once.

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Final answer:

Neutrons released in a fission reaction can cause chain reactions, which are sustained cycles of fission that release significant amounts of energy.

Explanation:

Neutrons released in a fission reaction can strike other nuclei and cause chain reactions. This process begins when a neutron collides with a nucleus, such as uranium-235, causing it to split into two smaller isotopes and release additional neutrons. If these neutrons then collide with other uranium-235 atoms, they can cause further fission, perpetuating the cycle. A sustained nuclear chain reaction can lead to the release of large amounts of energy, which is the principle behind both nuclear power generation and the explosive power of nuclear weapons.

You push a loaded shopping cart 5 meters along the ground with a force of
200 N. What work have you done on it?
O A. 9,000 j
O B. 2,500 j
O C. 2003
O
D. 1,000 J

Answers

Answer:

D

Explanation:

Work done w = force F × distance d

F = 200N and d = 5m

: w = 200 × 5

w = 1000J

A city is considering switching to geothermal power for their electricity needs. Which of the following is an advantage of this plan?

It is commonly used across the entire United States.
It uses less land area than gas power plants.
It uses water to power large turbines.
It in inexpensive to build.

Answers

It uses water to power large turbines.

Geothermal power taps on the energy of natural steam from the earth's lithosphere.

Explanation:

The heat from deep in the the lithosphere heats up underground water into high-pressure steam trapped in within the rocks. Boreholes are sunk to tap on the potential energy of this high-pressure steam to turn large dynamo turbines that convert the steam energy into electricity.

The biggest advantage, moreover, is the fact that this method of electricity generation does not emit greenhouse emissions as compared to gas plants that burn hydrocarbons that release CO₂.

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we can see our face clearly on mirror why cant we see our face clear on aluminium or irion plate
I need at least 5 sentence

Answers

Because specular reflection occurs with a mirror, while diffuse reflection occurs with aluminium or iron plate

Explanation:

Reflection is a phenomenon typical of waves (such as light wave), that occurs when a wave bounces off the surface of a certain material, going back into the original medium at a certain angle, without changing speed, frequency or wavelength.

The direction of the reflected ray is given by the law of reflection, which states that:

The incoming ray, the reflected ray and the normal to the surface all lie on the same planeThe angle of incidence is equal to the angle of reflection

Depending on the type of surface, two different types of reflection can occur:

Specular reflection: this occurs when the surface is perfectly smooth. In such a case, all the incoming rays of light hit the surface with same angle of incidence, therefore they are reflected at the same angle. This means that a perfect and clear image of the original object can be formed: this is the case of a mirror.Diffuse reflection: when the surface is not smooth, the imperfections on the surface are such that the incoming rays of light hit the surface at different angles of incidence. As a result, the rays are reflected at different angles to each other, and therefore no clear image of the object is produced. This is the case of aluminium or iron plate.

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A 68 kg rock climbers 320 m above the ground the sun is down or up at 1.5 m/s using the ground as a reference point determine the total mechanical energy of

Answers

Using the ground as a reference point the total mechanical energy of  the rock climber is  213,621.15 J.

The total mechanical energy of the rock climber is the sum of its potential energy and kinetic energy. Potential energy is the energy an object has due to its position, while kinetic energy is the energy an object has due to its motion.

To calculate the potential energy, we can use the following formula:

PE = mgh

where:

PE is the potential energy (joules)

m is the mass of the object (kilograms)

g is the acceleration due to gravity (9.81 m/s²)

h is the height of the object above the ground (meters)

To calculate the kinetic energy, we can use the following formula:

KE = 1/2mv^2

where:

KE is the kinetic energy (joules)

m is the mass of the object (kilograms)

v is the velocity of the object (meters per second)

Plugging in the values, we get:

PE = (68 kg)(9.81 m/s²)(320 m) = 213,542.4 J

KE = 1/2(68 kg)(1.5 m/s)² = 78.75 J

Therefore, the total mechanical energy of the rock climber is:

ME = PE + KE = 213,542.4 J + 78.75 J = 213,621.15 J

So the answer is 213,621.15 J

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Complete question below:

A 68 kg rock climber is 320 meters above the ground and is moving upward at a speed of 1.5 m/s. Using the ground as a reference point, determine the total mechanical energy of the rock climber.

A car has a velocity of 26 m/s and goes down to 8 m/s as it approaches traffic. Was the some sort of acceleration?

Your answer:

Yes


No


Maybe so

Answers

Answer:

Yes

Explanation:

This is negative acceleration, also known as deceleration where the speed is reduced from high to low at a specific duration.

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While driving her car at 40 m/s, Andrea (with a mass of 50-kg) stops short to avoid hitting a squirrel crossing the road. If the seat belt is in contact with Andrea for 0.5 seconds, determine:

a.) Andrea’s initial momentum





b.) Andrea’s final momentum





c.) What is the change in momentum (impulse)?





d.) What is the force that the seatbelt exerts on Andrea?

Answers

Answer:

a) Andrea's initial momentum, 200 kg m/s

b) Andrea's final momentum, 0

c) Impulse,  = - 200 Ns

d) The force that the seat belt exerts on Andrea, - 400 N

Explanation:

Given data,

The initial velocity of the car is, u = 40 m/s

The mass of Andrea, m = 50 kg

The time period of deceleration, a = 0.5 s

The final velocity of the car, v = 0

a) Andrea's initial momentum,

               p = mu

                  = 50 x 40

                  = 200 kg m/s

b) Andrea's final momentum

                  P = mv

                     = 50 x 0

                    = 0 kg m/s

c) Impulse

                   I = mv - mu

                     = 0 - 200

                    = - 200 Ns

The negative sign indicated that the momentum is decreased.

d) The force that the seat belt exerts on Andrea

                   F = (mv - mu)t

                     = (0 - 200) / 0.5

                     = - 400 Ns

Hence,the force that the seat belt exerts on Andrea is, - 400 N

4. How many planets are there in our solar system?
a. 9
b. 8
c. 12
d. 15

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Since Pluto is a dwarf planet, the correct option is B. 8

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

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How does the gravity which pulls the moon and earth toward each other also affect the ocean?

Answers

Gravity is what holds the planets in orbit around the sun and what keeps the moon in orbit around Earth. The gravitational pull of the moon pulls the seas towards it, causing the ocean tides. Gravity creates stars and planets by pulling together the material from which they are made.

the ocean creates tides accosiated with the ocean

An object has a mass of 785 g and a volume of 15 cm³. What is its density? (Give your answer in g/cm³ to 2 decimal places).

Answers

Answer:

denisity = 52.33 g/c[tex]m^{3}[/tex]

Explanation:

Density:

[tex]d = \frac{m}{v}[/tex]

We have that m = 785 and that v = 15 c[tex]m^{3}[/tex].

[tex]d = \frac{785}{15}[/tex]

d = 52.33 [tex]m^{3}[/tex]

Final answer:

The density of the object, calculated using the formula Density = Mass/Volume with the given mass of 785g and volume of 15cm³, is found to be 52.33 g/cm³.

Explanation:

The subject in question is about determining the density of an object, which falls under the area of Physics. In physics, density is defined as mass per unit volume, and the formula for calculating density is Density (ρ) = Mass (m)/Volume (V). In the SI system, we often use grams per cubic centimeter (g/cm³) to express the density of solids and liquids.

To apply the formula to this question, we take the mass of the object, which is given as 785g, and then divide this by the volume of the object, given as 15cm³. Thus, the calculation becomes: ρ = 785g / 15 cm³.

The calculated density, to 2 decimal places, is 52.33 g/cm³. Therefore, the object in question has a density of 52.33 g/cm³.

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how to do this question

Answers

Answer:

64°

Explanation:

The triangle is an isosceles triangles (both legs are equal to the radius of the circle), so that means the base angles are the same.

Angles of a triangle add up to 180°, so:

128 + 2x = 180

2x = 52

x = 26

∠1 is complementary to the base angle, so:

∠1 = 90 − 26

∠1 = 64

> Science Sem 2 CR SHS1920
What can happen to solar radiation when it enters Earth's atmosphere? Select three options
It is absorbed by Earth.
It is reflected by clouds.
It is reflected by glacial ice.
It is condensed into visible light.
It is amplified by water molecules.​

Answers

The following can happen to solar radiation when it enters Earth's atmosphere:

It is absorbed by Earth. It is reflected by clouds. It is reflected by glacial ice.

Answer: Option A, B, and C

Explanation:

Solar radiation causes an abnormal effect in humans, if they are exposed directly. All the solar radiation emitted by the sun, does not hit us directly. The energy while reaching us passes through different levels of spheres.

Atmosphere contains nitrogen and oxygen molecules, which absorb some of the solar radiation. And some of it is reflected back by the clouds.  And some of the remaining energy is absorbed by the surface of the earth. Likewise, almost 71% of the radiation is absorbed.

Answer: It is absorbed by Earth.

It is reflected by clouds.

It is reflected by glacial ice.

Explanation: Solar radiation is composed of electromagnetic waves that carry energy.

White or shiny surfaces usually reflect some waves (actually almost every surface reflects electromagnetic waves)

So some of the radiation is reflected by clouds or by glacial ice.

The bigest part is actually absorbed by Earth (this is why during the day the temperature increases, a biggest amount of radiation is being absorbed)

Which element is this?

Answers

Answer:Silicon

Explanation:

You add up the protons and neutrons and then look at the element paper

I’m pretty sure it’s silicone

A sound has 13 crests and 15 troughs in 3 seconds. When the second crest is produced the first is 2cm away from the source? Calculate

        a. The wavelength

        b. The frequency

        c. The wave speed

Answers

Answer:

The wavelength will be 4 cm, frequency will be 4.66 Hz and wave speed is 18.6 cm/sec

Explanation:

Given:

No. of crest = 13

No. of trough = 15

Time = 3 seconds

Hence, 1 crest or 1 trough = [tex]\frac{1}{2}\lambda[/tex]

therefore,

13 C + 15 T = [tex]28(\frac{1}{2}\lambda)[/tex]

=[tex]14\lambda[/tex]

Time given 3 seconds

  = [tex]\frac{3}{14}s[/tex]

[tex]\nu= \frac{14}{3}[/tex]

[tex]\nu= 4.6 Hz \approx 5 Hz[/tex]

2 cm distance is travelled is time period

[tex]\lambda = 4 cm[/tex]

Again wave will travel in 1 T = 4 cm

wave speed v =[tex]\lambda\times\nu[/tex]

= [tex]4\times\frac{14}{3}[/tex]

= 18.6 cm/s

you push a book a distance of 5 meters with a force of 10 newtons for 2 seconds how much work did you do on the book

Answers

Answer:

50 J

Explanation:

Work, W=Fd where F is the applied force and d is the distance

Substituting 10 N for F and 5 m for d then work done on the book can be expressed as

W=10 N* 5 m=50 Nm= 50 J

Therefore, the work done is equivalent to 50 J

The thin, narrow structure of the capillaries is well-suited to their function because the capillaries _____.
1. Only carry the liquid portion of blood
2. Transport substances directly to the body cells
3. Require only a small amount of oxygen to function
4. Have the opposite function of arteries and veins

Answers

Capillaries unlike arteries and veins in mammals and other organisms due to their size and structure can branch out across multiple regions within the tissues, providing essential nutrients and other compounds.

The correct solution would be 2.
2. Transport substances directly to body cells

Justine is ice-skating at the Lloyd Center. What is her final velocity if she accelerates at a rate of 2.0 m/s for 3.5 seconds?

Answers

Answer:

7 m/s

Explanation:

Acceleration, [tex]a=\frac {v-u}{t}[/tex]

Where v and u are the final and initial velocities of the Justine respectively, t is the time taken for Justin to attain final velocity.

Making v the subject then

v=at+u

Taking u as zero then

Substituting 3.5 for t, 2 as a then

v=3.5*2=7 m/s

I drop an egg from a certain distance and it takes the egg 3.74 seconds to reach the ground. How high up was the egg?

Answers

Answer:

The height from which the egg is dropped is 68.54 m.

Explanation:

Given:

Initial velocity of egg is, [tex]u=0\ m/s[/tex](Dropped means initial velocity is 0)

Time taken is, [tex]t=3.74\ s[/tex]

Acceleration experienced by egg is due to gravity, [tex]a=g=9.8\ m/s^2[/tex]

The height from which the egg is dropped is, [tex]d=?[/tex]

Now, we use Newton's equation of motion that relates the distance, initial velocity, time and acceleration.

So, we have the following equation of motion:

[tex]d=ut+\frac{1}{2}at^2[/tex]

Plug in all the given values and solve for 'd'. This gives,

[tex]d=0+\frac{1}{2}\times 9.8\times (3.74)^2\\\\d=\frac{1\times 9.8\times 13.9876}{2}\\\\d=\frac{137.078}{2}\\\\d=68.54\ m[/tex]

Therefore, the height from which the egg is dropped is 68.54 m.

Which of the following is evidence that supports the particle model of light

Answers

Answer:

White light disperses into full spectrum of color when shined through a prism due to refraction.

Explanation:

This experiment was performed by Isaac Newton when he passed a white light through a glass prism.

If 10 calories of energy are added to 2 grams of ice at -30° C, calculate the final temperature of the ice. (Notice that the specific heat of ice is different from that of water.) T.F =
-20° C
-30° C
30° C
40° C

Answers

Answer:

-20°C

Explanation:

ΔQ = m c Δt

here ΔQ is heat supplied which is 10 calories , m is mass which is 2 g , c is specific heat capacity of ice which is 0.5 cal/(g C°), Δt is change in temperature which here is to be calculated.

re arranging the equation  we get

Δt = ΔQ/(mc)

   = 10/ ( 2 × 0.5)

 =  10/1

  = 10 C°

final temperature = -30 +10 = -20°C

hence option is A

Other Questions
Read paragraph 10 from Barack Obama's "Second Inaugural Address." Which quality doesObama MOST strongly emphasize in this paragraph?A. capabilityB. creativityC. individualityD. community Question 9A chemistry student needs 85.0mL of carbon tetrachloride for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of carbon tetrachloride is 1.59 gcm^-3 . Calculate the mass of carbon tetrachloride the student should weigh out.Be sure your answer has the correct number of significant digits. Sixteen-year-old Donna is experimenting with smoking and drinking and often argues with her parents. From an evolutionary standpoint, why is it developmentally logical for Donna to start adolescence with risk-taking tendencies? An analyst is forecasting net income for Excellence Corporation for the next fiscal year. Her low-end estimate of net income is $250,000, and her high-end estimate is $350,000. Prior research allows her to assume that net income follows a continuous uniform distribution. The probability that net income will be greater than or equal to $337,500 is 2. Beta Particles a. What is the mass number of the particle emitted from the nucleus during beta minus () decay? b. What kind of charge does the particle emitted from the nucleus during beta minus () decay have? c. What is another name for a beta minus () particle? d. Write the balanced equation for the alpha decay that is below the Show Equation. Label the parent, daughter, and beta particle.3. Nuclear Decay a. What happens in the nucleus of an atom when an alpha particle is emitted? b. What happens in the nucleus of an atom when a beta particle is emitted? the domain of the relation is Jamel bought 2 pounds of red apples and 3.2 pounds of green apples from the grocery store, where both kinds of apples are $1.65 a pound. How munch did Jamel spend on apples? 1.A human is a. .A. one-celled eukaryote.B. many-celled eukaryote. :C. one-celled prokaryote.D. many-celled prokaryote.many Based on the data presented in the passage, which statement best describes the HSP110E9 allele?A.Cancer-promoting and dominant to HSP110WTB.Cancer-promoting and recessive to HSP110WTC.Cancer-suppressing and dominant to HSP110WTD.Cancer-suppressing and recessive to HSP110WT There are 500 rabbits in Lancaster on February 1st. If the amount of rabbits triples every month. Write a function that represents the number of rabbits in Lancaster after m months. How many rabbits are there in Lancaster on August 1st?Please explain The trp operon contains five genes: trpE, trpD, trpC, trpB, and trpA. These five genes code for components that produce three enzymes that catalyze the biosynthesis of tryptophan. The trpL region is the leader region, which helps regulate transcription once RNA polymerase has initiated transcription.The trp operon also undergoes negative regulation by a repressor. Tryptophan is the signal molecule (effector molecule) that binds to the repressor. Determine which events lead to an increase in transcription. The trp operon is transcribed when a. the trp repressor dissociates from DNA. b. the trp repressor is inactive. c. Trp is present at high concentrations inside the cell. d. the trp repressor is bound to the operator. e. trp binds to the repressor. (a) Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x)=x/(10 x**2+1) sum_(n=0)^infinity (-1)**n 10**n x**(2n+1) sum_(n=0)^infinity (-1)**n (x**(2n+1))/(10**n) sum_(n=0)^infinity (-1)**n 10**n x**(2n) 10 sum_(n=0)^infinity (-1)**n x**(2n+1) sum_(n=0)^infinity (-1)**n 10**(n+1) x**(n+1) Correct: Your answer is correct. (b) Determine the interval of convergence. PLEASE I NEED HELP ASAP THERE ARE 4 QUESTIONS QUESTION 1 What did the British bring to India that would lead its native people to demand independence in the 19th century?Select one:a. a European educationb. fair economic policiesc. technology and industrial jobsd. the Christian belief systemQUESTION 2 As India enters the 21st century, what aspects of Indian life could be attributed to Britains influence over this former colony?Select one:a. a shaky economy and load of debtb. nuclear weapons and the value placed on educationc. a large population and monotheismd. a weak infrastructure and povertyQUESTION 3 How did the British Raj treat the people of India after their loyal military support for Britain during World War I?Select one:a. The British finally gave India a much greater level of independence.b. The British rewarded the Indians with a greater voice in Parliament.c. The British imposed wartime laws during peacetime--just on the citizens of India.d. The British raised taxes on those who did not serve in the military.QUESTION 4 How did the British use Indias caste system in their efforts to make India an industrialized nation?Select one:a. Britain managed to destroy the caste system in India, replacing India's social order with its own class system.b. British companies ignored the limits imposed by the caste system and hired laborers on the basis of merit instead.c. Once Indians understood that the caste system would not be tolerated by the British, they stopped recognizing caste.d. British authorities understood that to keep the Indians under control they would need to continue the caste system. Tommy is a greedy eater, and he somehow managed to get a chocolate bean in his windpipe. Now its stuck in his right lung. Where on the image below do you have to perform surgery? A ball is thrown vertically from the top of a building. The height of the ball after t seconds can be given by the function s(t)= -0.1(t-2)^2 + 10meters. What is the estimated instantaneous velocity of the ball after 4 seconds. Given constraints: x>=0, y>=0, 2x+2y>=4, x+y The pharmacology class learns that epoetin alfa is an immunosuppressant drug that is designed to have what expected outcome? Which type of fossil is an imprint made by an organism that was preserved in rock? A.cast fossil B.sedimentary fossil C.mold fossil D.petrified Farmer Jones has 140 feet of fencing to construct a rectangular corral.If x represents the width of the corral, which function can be used to express the area A ofthe corral as a function of x?A. A(x) = 70xB. A(x) = x(70 - X)C. A(x) = x(140 - X)D. A(X) = X(140 - 2x) The purpose of an air gap between the faucet and the flood of the rim of a three compartment sink is to