Suppose that a grandfather clock has a pendulum with a length of 1.5m. You find that the clock runs fast so that it gains 10 seconds every hour. How much should the pendulum be lengthened to run on time?

Answers

Answer 1

Answer:

The period of a pendulum is given by the formula:

T = 2π * √(L/g)

where T is the period of the pendulum, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, we know that the grandfather clock has a pendulum with a length of 1.5m. We also know that the clock gains 10 seconds every hour. This means that the clock runs at a rate of 70 minutes per hour (60 minutes + 10 seconds).

To calculate how much the pendulum should be lengthened to run on time, we can use the following formula:

ΔL = (T2/T1)^2 * L1 - L1

where ΔL is the change in length of the pendulum, T1 is the original period of the pendulum, T2 is the new period of the pendulum (i.e., the period required for the clock to run on time), and L1 is the original length of the pendulum.

We can calculate T1 as follows:

T1 = 2π * √(L1/g)

We can calculate T2 as follows:

T2 = (60 minutes/hour) / (60 + 10 seconds/minute) = 0.9 minutes

Substituting these values into the formula for ΔL, we get:

ΔL = (T2/T1)^2 * L1 - L1

ΔL = ((0.9 minutes)/(2π * √(1.5m/9.81 m/s2)2 * 1.5m - 1.5m

ΔL ≈ 0.015 meters or 1.5 centimeters

Therefore, to run on time, the grandfather clock’s pendulum should be lengthened by approximately 0.015 meters or 1.5 centimeters.

Please give me brainliest it took me much time


Related Questions

Hi I just need an answer btw it’s science not physics

Hi I just need an answer btw its science not physics

Answers

Answer:

You need to divide 200 by 23 seconds in order to get your answer.

The average annual solar energy incident on a south-facing, tilted surface in Durham is about 1,020 kWh/(m^2year). What is the expected annual electric energy output (kWh) from a typical residential photovoltaic system of 23 m^2 area, where the solar array efficiency is 16 % and the performance ratio of the system is 0.76?
(Answer units: kWh; 0 decimal places (d.p.)

Answers

To calculate the expected annual electric energy output from the residential photovoltaic system, we can use the given information. The average annual solar energy incident on a south-facing.

Tilted surface in Durham is 1,020 kWh/(m^2year). The photovoltaic system has a 23 m^2 area, a solar array efficiency of 16%, and a performance ratio of 0.76.

First, we calculate the total incident solar energy on the system by multiplying the solar energy incident per unit area (1,020 kWh/(m^2year)) by the total area of the solar array (23 m^2). This gives us the total solar energy incident on the system.

Next, we multiply the total incident solar energy by the solar array efficiency of 16% to account for the conversion of solar energy into electric energy.

Finally, we further multiply the result by the performance ratio of 0.76 to consider the overall performance and losses of the system.

By performing these calculations, we find that the expected annual electric energy output from the residential photovoltaic system is [insert calculated value] kWh, with 0 decimal places.

This value represents the estimated amount of electric energy that can be generated by the system over the course of one year.

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How much energy is given to each coulomb of charge that flows through a 1. 5-v battery?.

Answers

Answer:

1.5 jouls for 1 coulomb

Explanation:

energy(U)=charge(q)*potential(V)

so U for 1 coulomb U=1*1.5=1.5 jouls

and for 1 electron U=(1.6*10^(-19))*1.5= 2.4*10^(-19) jouls

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12:41







Question
The basic concept of how a simple motor works is explained by which statement?

Answers

Answer:

The basic concept of how a simple motor works is that you put electricity into it at one end and an axle (metal rod) rotates at the other end giving you the power to drive a machine of some kind. The simple motors you see explained in science books are based on a piece of wire bent into a rectangular loop, which is suspended between the poles of a magnet. In order for a motor to run on AC, it requires two winding magnets that don’t touch. They move the motor through a phenomenon known as induction.

I hope this helps! Let me know if I'm wrong!

Explanation:

Atoms of the same element will always have the same number of Question Blank but will have different numbers of Question Blank if their mass numbers are different.

Answers

Answer:

proton and neutron respectively.

Explanation:

Atoms of the same element will always have the same number of proton but will have different numbers of neutron if their mass numbers are different.

Which is a physical property of matter?
Responses


A corrosioncorrosion


B volumevolume


C oxidationoxidation


D flammabilityflammability

Answers

Color, hardness, malleability, soluble, electrical conductivity, weight, melting point, & boiling temperature are examples of the physical qualities of matter.

What is electrical conductivity, and what is its measure?

By definitions, the reciprocal is electrical resistivity, or S/m (siemens per meter) as SI units, is the measurement unit for electrical conductivity. The conversion chart between SI units with regular units is displayed in Table 1. The quantity of the SI unit was divided by 100 to determine the worth of the traditional unit.

What is an example of electrical conductivity?

For conducting electricity, metallic materials such as copper, iron, silver, aluminum, and silver work best. Via the electrodes in some kind of a standardised aqueous solution at a specific temperature, the electrical conductivity of a substance is measured.

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An airplane is traveling 835 km/h in a direction 41.5 ∘west of north
Part A
Find the components of the velocity vector in the northerly and westerly directions.
Enter your answers using three significant figures separated by a comma.
vnorth, vwest = 625,533
km/h
SubmitMy AnswersGive Up
Completed
Part B
How far north and how far west has the plane traveled after 3.40 h ?
Enter your answers using three significant figures separated by a comma.
Δdnorth, Δdwest = km
SubmitMy AnswersGive Up

Answers

The plane traveled 2125 km north and 1812 km west after 3.40 hours.

To solve this problem, we need to break down the velocity vector into its northerly and westerly components. We can use trigonometry to do this. Let's call the northerly component "v north" and the westerly component "v west". We can find v north by multiplying the velocity (835 km/h) by the sine of the angle (41.5∘) between the velocity vector and the north direction. Similarly, we can find v west by multiplying the velocity by the cosine of the angle.

Using the trigonometric functions, we get:
v north = 835 km/h x sin(41.5∘) = 625 km/h
v west = 835 km/h x cos(41.5∘) = 533 km/h

Now, to find how far north and how far west the plane has traveled after 3.40 hours, we simply need to multiply the components by the time:
Δd north = v north x time = 625 km/h x 3.40 h = 2125 km
Δd west = v west x time = 533 km/h x 3.40 h = 1812 km

So the plane traveled 2125 km north and 1812 km west after 3.40 hours.

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Matt has a portable basketball goal in his driveway. He has the basket set 8 ft (2.4 m) high so he can practice dunking the ball. He slams the ball through the hoop and then hangs onto the rim. This exerts a downward force of 600 N on the front of the rim. The front of the rim is 1.1 m in front of the front edge of the portable basketball goal%u2019s base. The mass of the whole portable basketball goal is 70 kg. The center of gravity of the portable basketball goal is 1.0 m behind the front edge of its base.
a. How much torque is produced around the front of the goal base by the 600 N force Matt exerts on the front of the rim?
b. How much torque would be needed to tip the goal?
c. What is the largest vertical force that can be exerted on the front edge of the rim before the portable basketball goal begins to tip?

Answers

Answer:

a)   τ₁ = 660 N m,  b)  τ’= 686 N m,  c)    F = 623.6 N

Explanation:

a) For this exercise let's use the concepts of torque and rotational balance.

For this we set a reference system at the base and assuming that the counterclockwise rotations are positive

         

where the force F = 600 N, the distance to the axis is x = 1.1 m, the mass of the system m = 70g and the weight is placed at the point of the center of  gravity x_{cm} = -1.0 m

       

The torque at the front is

          τ₁ = F x

          τ₁ = 600 1.1

          τ₁ = 660 N m

b) let's write the rotational equilibrium condition

           ∑ τ = 0

           τ'- W x_{cm} = 0

           τ ’= mg x_{cm}

            τ’= 70 9.8 1.0

            τ’= 686 N m

       

c) the greatest force Matt can apply

           τ’= F x

           F = τ’/ x

           F = 686 / 1.1

           F = 623.6 N

find the measure of x

find the measure of x

Answers

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{x}{11}~~ = ~~\cfrac{4}{x}\implies x^2=44\implies x=\sqrt{44}\implies x=2\sqrt{11}\)

find the measure of x

A ball bouncing eventually coming to a stop A. Open system B. Closed system C. Isolated system

Answers

Given:

A ball bouncing eventually comes to stop.

To find:

What kind of a system is this?

Explanation:

An open system is a system where the free exchange of matter and energy with the surroundings takes place.

A closed system is where only the energy of the system is shared with the surrounding. In these kinds of systems, the exchange of matter does not take place.

An isolated system is where neither matter nor energy is exchanged between the system and the surrounding.

When a ball is bouncing, it gradually loses its kinetic energy to the surroundings and eventually comes to stop. But the mass of the ball remains the same. Thus this is a closed system.

Final answer:

The given system is a closed system.

Therefore the correct answer is option B.

Muscles in a kangaroo's legs work because of the cells that make up the muscle. Which
does this best illustrate?
All living things are made of cells.
Cells are the basic unit of structure and function of all living things,
All cells come from other cells.
Cells are generated from nonliving materials.

Answers

Answer:

all living things are made of cells

Explanation:

cells are kinda like matter but only for living thing like when someone says you white blood cell count is low its because they are part of you living body.


The Gauss-Markov Theorem states that if assumptions 1-5 are
satisfied then OLS is BLUE. Briefly explain what the B stands
for

Answers

The B in BLUE stands for "Best Linear Unbiased Estimator." The Gauss-Markov Theorem states that if assumptions 1-5 are satisfied, then the Ordinary Least Squares (OLS) estimator is the Best Linear Unbiased Estimator.

Let's break down the meaning of each term in the acronym:

1. Best: The OLS estimator is considered the best because it has the smallest variance among all linear unbiased estimators. In other words, it is the most efficient estimator among all unbiased estimators.

2. Linear: The OLS estimator is a linear combination of the dependent variable and the independent variables. It assumes a linear relationship between the variables.

3. Unbiased: The OLS estimator is unbiased, meaning that on average it will provide an estimate that is equal to the true population parameter being estimated. This implies that there is no systematic error in the estimation process.

4. Estimator: The OLS estimator is a statistical technique used to estimate unknown parameters in a linear regression model. It calculates the best-fit line that minimizes the sum of squared residuals.

The Gauss-Markov Theorem is important because it provides conditions under which the OLS estimator is the best among all linear unbiased estimators.

It ensures that if assumptions 1-5 are met, the OLS estimator will have the smallest variance and, be the most efficient estimator.
The Gauss-Markov Theorem states that if assumptions 1-5 are satisfied, the OLS estimator is the Best Linear Unbiased Estimator (BLUE) because it is the most efficient and unbiased estimator among all linear unbiased estimators.

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It takes five hours to drive from Fort Worth to Midland, which is a distance of 300 miles. What
would be the average speed for this trip?

Answers

Answer:

60

Explanation:

(hint: speed = distance/time)

The average speed for this trip will be \(\rm 60 mile\ hr^{-1}\). The ratio of the total distance and time is average velocity.

What is the average speed?

The total distance traveled by an object divided by the total time taken is the average speed.

The average speed of an object indicates the pace at which it will traverse a distance. The metric unit of speed is the meter per second.

The given data in the problem is;

t is the time taken = 5 hour

d is the distance tyravelled=300 miles

The average velocity is found as;

\(\rm v_{avg} = \frac{d_{total}}{t{total}} \\\\\ \rm v_{avg} = \frac{300}{5} \\\\ \rm v_{avg} = 60 mile\ hr^{-1}\)

Hence the average speed for this trip will be \(\rm 60 mile\ hr^{-1}\)

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A plane moving at a horizontal velocity of 205 m/s drops a piece of cargo which lands 7500 m below. How high is the cargo after 3.5 seconds?

Answers

Answer:

well im not gonna give the full answer but the hint im going to give is tht u can use a calculator

Explanation:

compare and contrast the energy of moving water and the energy of water that is stored.
I need to get it done

Answers

The main difference between the energy of moving water and the energy of stored water is that the energy of moving water has kinetic energy whereas the energy of water that is stored has potential energy.

What are kinetic and potential energy?

Potential energy is defined as the stored energy in any object due to its position while on the other hand, while Kinetic energy is defined as the energy an object has due to its motion. The energy stored in the water molecules which is used for the movement of these molecules is called water potential. Stored water has potential energy but the kinetic energy is present only in the moving molecules of water.

So we can conclude that moving water has kinetic energy while on the other hand, the energy of water that is stored has potential energy.

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#1 explain why there is no such thing as a quick and easy way to lose weight.

#2 why can’t you not always trust “before and after” photos?

#3 what are three things you should do before you buy exercise equipment?

#4 name a exercise equipment, how it is supposed to work and why you are skeptical about it?

Answers

Exercise is a vigorous activity that tends to help us to burn calories and loose weight in the process.

What is exercise?

Exercise is a vigorous activity that tends to help us to burn calories and loose weight in the process. There is no quick way to loose weight because the calories were added on gradually and must also be lost gradually.

Before and after photos does not show the loss in calories. This can only be determined by measurement.

Before you buy exercise equipment;

Ensure that the equipment meets your unique needsEnsure that you can afford itEnsure that you have enough space to contain the equipment

An example of an exercise equipment is a stationary bicycle. It works when you sit or stand on it and cycle repeatedly though it doesn't move. I am skeptical about it because it may not help you burn a lot of calories except you use it for long periods of time.

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a ball is thrown vertically upward with a speed of 30.0 m/s. how long does it take to reach its highest point?

Answers

It takes the ball 3.06 seconds to reach its highest point

To find how long does it take to reach its highest point

The time it takes for a ball to reach its highest point is given by the equation:

t = v / g

where

t is the time in secondsv is the initial velocity in meters per secondg is the acceleration due to gravity, which is approximately \(9.8 m/s^2\)

In this case, the initial velocity is 30.0 m/s and the acceleration due to gravity is \(9.8 m/s^2\). Therefore, the time it takes for the ball to reach its highest point is:

\(t = 30.0 m/s / 9.8 m/s^2 = 3.06 s\)

Therefore, it takes the ball 3.06 seconds to reach its highest point.

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A rubber band has a spring constant of 180 N m^-1. The work done in extending the band is 0.16 j. Calculate the extension of the band.

PLEAASE HELPPP.

Answers

Answer:

To calculate the extension of a rubber band that has a spring constant of 180 N m^-1 and for which the work done in extending it is 0.16 j, you can use the following formula:

extension = work done / spring constant

Plugging in the values given in the question, you can calculate the extension as follows:

extension = 0.16 j / 180 N m^-1

= 0.000889 m

Therefore, the extension of the rubber band is 0.000889 m.

It's important to note that this calculation assumes that the rubber band behaves as an ideal spring, which means that it obeys Hooke's Law (F = kx, where F is the force applied to the spring, k is the spring constant, and x is the extension of the spring). In reality, real-world springs may not behave perfectly according to Hooke's Law, so the calculated extension may not be completely accurate.

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What does newton’s second law describe ?
A. the tendency of moving objects to stay in motion
B. Action-reaction pairs
C.The attractive force between two objects due to their masses
B. How the amount of mass influences the amount of force needed to move an object

Answers

states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

When there is a temperature inversion, you would expect to experience Group of answer choices clouds with extensive vertical development above an inversion aloft. good visibility in the lower levels of the atmosphere and poor visibility above an inversion aloft. an increase in temperature as altitude increases.

Answers

Temperature inversion leads to an increase in temperature as altitude increases.

The term temperature inversion refers to a situation in which a layer of warm air lies over a layer of cool air. This is also referred to as thermal inversion. This occurs when the air below to loose heat rapidly.

One of the effects of temperature inversion is reduction in visibility. So, thermal inversion leads to an increase in temperature as altitude increases.

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What are the factors affecting acceleration?

Answers

Answer:

drag and friction effect acceleration

If the ammeter has the following reading when set on the 0.5 A scale, what is the current it is measuring? 2A 0.2 A 0.002A 0.02 10A

Answers

If the ammeter readings are greater or lower than the scale's range, the device is either overloaded or unable to measure the current reliably on the 0.5A scale.

The current being measured is more than the scale's range if the ammeter is calibrated for a 0.5 A scale and reads 2A. Alternatively put, If the ammeter is calibrated for 0.5 A and displays 0.2 A, Similarly, if the ammeter registers 0.002A, the current being measured is 0.002A or less and falls within the range of the scale. A reading of 0.02A on the ammeter indicates that the current being measured is 0.02A or less and falls within the range of the scale. If the ammeter reads 10A, the ammeter is overloaded and the current being measured is greater than what the scale can handle.

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What role is played by physics in communication

Answers

Explanation:

physics allow us to understand the electromagnetic radiation we used to transmit data with fibre optics and satellites and to build computers that interpret those signals and transmit data on the internet

why does the pressure rise as the volume of a cylinder filled with a gas is decreased by a piston? multiple choice question. gas particles move faster in a smaller volume. collisions with the walls are more frequent. collisions of gas particles with each other are more frequent.

Answers

When the volume of a cylinder filled with a gas is decreased by a piston, the pressure inside rises because of the increased frequency of collisions between gas particles.

This is due to the fact that when the available space is reduced, the particles are forced to move faster in order to maintain their average kinetic energy. Furthermore, the number of collisions between gas particles and the walls of the container increases, resulting in a higher pressure.

Additionally, as the volume decreases, the number of collisions between gas particles and each other increases, which also contributes to the rise in pressure. Therefore, when the volume of a cylinder filled with a gas is decreased by a piston, the pressure inside will rise due to the increased frequency of collisions between gas particles.

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List the three main things necessary to build an electromagnet.

Answers

Answer:

Electromagnets are special types of magnets that are made by passing current through coils of wire. To make an electromagnet, the minimum requirements are:

1. A nail (usually made of iron, steel or zinc)

2. Dry cell batteries

3. Wire (Usually copper wire)

Other things could be:

1. Electric tape to hold both ends of the wire properly at the battery terminals.

2. Scissors to cut the wire into desired length.

3. Iron fillings for testing purposes.

Please match each term with it’s correct definition

Please match each term with its correct definition

Answers

The terms are paired with their correct definitions as shown above.

Why is physics?Physics is the cornerstone of the other natural sciences (chemistry, geology, biology, astronomy) and is essential to understanding our modern technological society. At the heart of physics is a combination of experiment, observation and the analysis of phenomena using mathematical and computational tools

Given is to match the terms with the correct definition.

We can write the pairs as -

{ 1 } → { b }

{ 2 } → { f }

{ 3 } → { a }

{ 4 } → { d }

{ 5 } → { e }

{ 1 } → { c }

Therefore, the terms are paired with their correct definitions as shown above.

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what is the molar solubility of la(io3)3 in pure water? ksp = 1.0 × 10−11 for la(io3)3.

Answers

The molar solubility of La(IO₃)₃ in pure water is approximately 1.0 × 10⁻⁴ mol/L.

The molar solubility of a compound refers to the maximum amount of the compound that can dissolve in a given solvent at a specific temperature, typically expressed in moles per liter (mol/L). To determine the molar solubility of La(IO₃)₃ in pure water, we can use the given value of the solubility product constant (Ksp) for La(IO₃)₃, which is 1.0 × 10⁻¹¹.

La(IO₃)₃ dissociates into La³⁺ and IO₃⁻ ions in water. Let's assume x mol/L represents the molar solubility of La(IO₃)₃. According to the balanced chemical equation, one mole of La(IO₃)₃ produces one mole of La³⁺ ions and three moles of IO₃⁻ ions.

Therefore, the solubility product expression for La(IO₃)₃ is:

Ksp = [La³⁺][IO₃⁻]³

Since the concentration of La³⁺ ions is equal to the molar solubility (x) and the concentration of IO₃⁻ ions is three times the molar solubility (3x), we can substitute these values into the Ksp expression:

Ksp = (x)(3x)³

1.0 × 10⁻¹¹ = 27x⁴

Solving for x, we find:

x ≈ 1.0 × 10⁻⁴ mol/L

Therefore, the molar solubility of La(IO₃)₃ in pure water is approximately 1.0 × 10⁻⁴ mol/L.

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a man wants to test a rope. he ties one end to a telephone pole and the other to a horse. the horse pulls as hard as it can, but is not strong enough to break the rope. the man replaces the telephone pole with a second horse of identical strength. assume the two horses pull in opposite directions as hard as they can. will the rope break? explain your answer.

Answers

The rope will not break. Even though the two horses are pulling in opposite directions, their strength is identical and therefore cancels out.

The rope is not subjected to any greater force than when only one horse was pulling. If the rope was not strong enough to withstand the force of one horse, it would have broken when the first horse pulled on it.

This shows that maybe the rope is stronger and perhaps it was actually able to withstand the force than the horses when it is single and when now they are combined to form a greater force.

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If you are sitting 8. 20 m from a 70. 0 W speaker, what is the sound level in dB?


(Treat the speaker as a point source)

(Unit = dB)

Answers

There will be 109 decibels of sound. A person's hearing may be harmed if they hear sounds louder above a certain threshold.

We are given that,

Power = p = 70.0w

Surface area = A = 8.20m

The intensity of a sound is measured by its level. The intensity of sound is measured in decibels, The ratio of power to surface area is known as the sound level or the sound intensity.

Intensity = power/surface area

Intensity =  70.0w/4π× 8.20²m

Intensity = 0.082W/m²

The resulting value is converted into decibels as follows,

I = 10 × log1/110⁻¹²

I = 109decibels

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On Jupiter, g = 25N/kg. Calculate the energy gained when a 2kg mass is lifted by 2m.

Answers

The energy gained when a 2 kg mass is lifted by 2 m on Jupiter is 100 J.

To calculate the energy gained when a 2 kg mass is lifted by 2 m on Jupiter, we can use the formula:

E = mgh

where E is the energy gained, m is the mass, g is the acceleration due to gravity, and h is the height the object is lifted.

In this case, g = 25 N/kg, m = 2 kg, and h = 2 m. Substituting these values into the formula, we get:

E = (2 kg)(25 N/kg)(2 m) = 100 J

Therefore, the energy gained by Jupiter when a 2 kg mass is lifted by 2 m is 100 J.

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You finished putting the dishes away after washing them, but neglected to close the cupboards. You reached for your phone on the counter and hit the cupboard with your forehead. Your forehead is now a purplish color and is slightly swollen. What is the treatment for the injury for this scenario? you should turn off message alerts at work as they can be distracting.. T/F? Conjunto de sofs com design mais recente vipfurnitureonline. Pt. A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people, 16 had a mild allergic reaction. What percent of the people had a mild allergic reaction? What is the correct definite article in Espanol? Lpiz, Cuaderno, Biblioteca, Jefes, Chicas Why does the Cyclops invite Odysseus back to the island?He realizes that Odysseus was destined to take his eye.He wants to obey the Greek custom of providing food and shelter to guests.He fears far more harm will come to him if does not befriend Odysseus.He wants to take revenge on Odysseus. TIME REMAINING16:30:07The inside of a train car. Men in coats and hats are seated up front. Women holding baskets and children are seated in the back facing the opposite direction. The image above is an example of Marxism because _______________a. It shows peasant workers in a way that conveys a message of sadness and loss of hope. B. It shows the equality between men and women in the lower classes. C. The images show the artists strong use of the Elements of Art. D. The artists use of light conveys to the viewer an inspiring message of strength Which sentence is a good example ofPersuasive Writing?A. There was not a dry eye in the crowd when the veteran told howhis life was saved by his comrade.B. We have met at this historic site to inspire each of us to give moresupport to this great project.C. The ceremony at the historic site began with an impressiveroutine by a military marching band. For carterh3............................. What basic idea guided President George W. Bush's economic policies?A. a preference for private institutionsB. confidence in New Deal solutionsC. recognition that business regulations are neededD. a desire to raise taxes on high income taxpayers __________ called the physiological response to threat the emergency reaction and showed that it is controlled by the sympathetic nervous system and by hormones secreted mainly by the adrenal gland. what's the value of given expression[tex] \sqrt{90 + 54} [/tex] 1. First we went to the game. It is hard to hearanything over the roar of the fans. Then we comehome, and watch TV.1) Which change would correct the verb tense shift error in thegroup of sentences?2. When I took my dog for a walk, it is 4 o'clock.We strolled through the park, then stop to get adrinkA) Change "is" to "was."B) Change 'went" to "go.Change "come to "came."D) Change "watch" to "watched." Please Help Me In MathWill mark U Brainliest!!!#soconfused time spent studying on statistics tests is a normally distributed random variable with a mean of 2.3 hours and standard deviation of 0.83 hours. find the probability that someone spent between 2.5 and 3 hours studying for a statistics test. In a certain year there were 96 female officials in Congress which is comprised of house of reps and the Senate. If there were 48 more female members of the house of reps than female senators. Find th number of females in each house Compare Earths, Venuss, and Marss ability to sustain life. MATH PLEASE HELPPaul wants to put a fence around his vegetable garden in the backyard. The price of fencing is $1.65 per linear foot. Given a diagram of his vegetable garden below, how much will it cost him for the fencing? A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.Which option correctly represents the sequence described?A -3, 11, -45, 179, ...B {-3, -13, -53, -213, ...}C. {-3, 11, -45, 179, ...}D -3, -13, -53, -213,... what type of inventory demand is derived from finished products a company plans to product, is based on the number of items being produced, and is calculated by the mrp system?