A car initially traveling at 15.0 m/s accelerates at a constant rate of 4.50 m/s2 over a distance of 45.0 m. How long does it take the car to cover this distance? Show all work leading to the answer including the data, equation, substitution and the final answer with units for full credit.

Answers

Answer 1

Answer:

2.24 seconds

Explanation:

xf = xo + vo t + 1/2 at^2

45 = 0 + 15 t  + 1/2 (4.5) t^2

   2.25 t^2 + 15t - 45 = 0              Quadratic formula shows  t = 2.24 seconds

Answer 2

The car takes approximately 2.25 seconds to cover a distance of 45.0 meters under the given conditions of constant acceleration.

Given data:

Initial velocity (u) = 15.0 m/s

Acceleration (a) = 4.50 m/s²

Distance (s) = 45.0 m

We can use the kinematic equation to solve for time (t) when the car covers a certain distance under constant acceleration:

S = ut + 1/2at²

Where:

s = distance

u = initial velocity

a = acceleration

t = time

Plugging in the given values:

45.0 = 15.0t + 1/2 m/s²t²

2.25t² +15t - 45 = 0

t = 2.25sec and -8.92sec

Since time cannot be negative in this context, we discard the negative solution.

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Related Questions

a 5200w electric oven​

Answers

Answer:

104 kWh

Explanation:

To calculate the kWh you multiply power with the amount of hours.

So for this we take 5200 W × 20 = 104 000 Wh

Then change Wh to kWh so that makes 104 kWh

one of the rare galaxies that is isolated in space is likely to be a(n) ____.

Answers

The rarest type of galaxies is the elliptical double-ringed galaxy.

What is the rarest type of galaxy?

elliptical double-ringed galaxy is considered as the rarest type of galaxy because of its small number. The example of such type of galaxy is PGC 1000714. Scientists suggest that about 0.1% of galaxies are of this type.

So we can conclude that the rarest type of galaxies is the elliptical double-ringed galaxy.

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Two people start at the same place and walk around a circular lake in opposite directions. one has an angular speed of 1.11 x 10-3 rad/s, while the other has an angular speed of 8.40 x 10-3 rad/s. how long will it be before they meet

Answers

The time taken before the two people will meet is 11 minutes.

Time taken before they meet

The time taken before the two people will meet is calculated from the principle of relative velocity.

(ω₁ + ω₂)t = θ

where:

ω₁ is angular speed of the first personω₂ is the angular speed of the second persont is time of motionθ is angular displacement

(1.11 x 10⁻³  + 8.4 x 10⁻³)t = 2π

(9.51 x 10⁻³)t = 2π

t = 2π/9.51 x 10⁻³

t = 660.7 secs

t = 11 mins

Thus, the time taken before the two people will meet is 11 minutes.

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Nuclear power stations convert the nuclear energy stored in nuclear fuel into what other store of useful energy?

Answers

Answer:

The right answer is "thermal energy" or "thermal" or "heat" or "heat energy" or "electricity" or "electrical energy"

Explanation:

Nuclear fuel is used to heat water, increasing its thermal energy. This hot water is used to turn turbines that generate electrical energy.

Nuclear power stations convert the nuclear energy stored in nuclear fuel into thermal energy.

What is thermal energy?

Thermal energy is defined as a type of energy which is contained within a system which is responsible for temperature rise.Heat is a type of thermal energy.It is concerned with the first law of thermodynamics.

Thermal energy arises from friction and drag.It includes the internal energy or enthalpy of a body of matter and radiation.It is related to internal energy and heat .It arises when a substance whose molecules or atoms are vibrating faster.

These vibrating molecules and atoms collide and as a result of which heat is generated in a substance , more the collision of particles , higher is the thermal energy.It has 3 types conduction, convection and radiation.

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When the humerus moves in the glenoid fossa, the moving joint surfaces are:

Answers

When the humerus moves in the glenoid fossa, the moving joint surfaces are convex on concave.

What is Glenoid fossa?

This is a bone depression in which the head of the humerus fits into to aid movement and support.

The moving joint surfaces are convex on concave in structure when humerus moves in the glenoid fossa.

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Describe how a star is formed?
____________________________

Answers

a more in depth description:
as gasses like hydrogen start to gather, it creates more mass, therefore more gravitational attraction. As the gasses start to collect to considerably large amounts, the gas at the center of the mass starts to compress. As the gas keeps growing, the immense pressure on the core grows and grows, raising the temperature to extreme amounts. As this happens the star starts to undergo a process called nuclear fusion. this process occurs when immense pressure and heat cause the electrons to escape from their nuclei and flow around freely. this is what the fourth state of matter is. this type of matter is called plasma. this alone creates incredible amounts of heat and energy. The main part of the fusion process though is that the nuclei in which the electrons escaped from begin to merge, creating heavier nuclei, therefore creating heavier and denser nuclei. as the nuclei combine they also form denser elements, such as helium (fist merge of nuclei) all the way to eventually iron (last merge before nuclei is at its heaviest. This entire process takes billions of years to go from helium to the extremely dense iron, and stars usually only reach iron if they are big enough (a lot larger than our sun) so that the pressure will be able to keep fusing nuclei. if they dont reach iron, at the end of their life, the fuel from the inside will be used up and the core has to compensate for the gravitational force of the outer star pushing in. this means the star will grow as the outward force becomes greater than the gravitational force. the star will stay like this for a while before finally using up all the fuel and slowly dying off and shrinking. the shrinking star (or dying star) is known as a white dwarf

that is the long answer

Answer:

Star Formation

Stars are born within the clouds of dust and scattered throughout most galaxies. A familiar example of such as a dust cloud is the Orion Nebula. Turbulence deep within these clouds gives rise to knots with sufficient mass that the gas and dust can begin to collapse under its own gravitational attraction.

hy XD ~

What concurrent motion at the glenohumeral joint should occur with shoulder abduction?

Answers

Glenohumeral external rotation is the concurrent motion at the glenohumeral joint which occurs with shoulder abduction.

What is Shoulder abduction?

This refers to the process in which the arm is moved away from the body which also affects the ball and socket joint.

This is referred to as glenohumeral joint in this case which moves in an external rotation manner.

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Who is responsible of refraction light 1/3 in eye

Answers

The cornea is  responsible of refraction light 1/3 in eye.

What is the function of the cornea?

In addition to the protective function, it plays a fundamental role in the formation of vision. Transparent, it works like a lens over the iris, focusing light from the pupil towards the retina.

Normally, the cornea and lens deflect (refract) incoming light rays, focusing them on the retina. The shape of the cornea is fixed, but the lens changes shape to focus on objects at different distances from the eye.

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which statement illustrates how progress in engineering has affected the natural enironment

Answers

The statement that illustrates how progress in engineering has affected the natural environment is extracting mineral resources with modern mining equipment removes fertile topsoil.

What is the Natural Environment?

The natural environment may be defined as anything that can be present in the surroundings of living entities whether it is a biotic or abiotic factor.

The utilization of contemporary mining tools terminates fertile topsoil and admiringly impacts the fertility of the soil.  It is tough to rebuild topsoil and modern mining tools constantly damage soil fertility.

Advancement in engineering has influenced the natural environment and mining is one of the most accepted measures of this.

The complete question is as follows:

Extracting mineral resources with modern mining equipment removes fertile topsoil.Mining companies use modern equipment to extract mineral resources more efficiently.Modern mining equipment has improved the health and safety of workers.Modern mining practices provide materials that can be used for technological advances.

Therefore, it is well described above.

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Cancer and diabetes are two common hereditary diseases.

Answers

It is a true statement that cancer and diabetes are two common hereditary diseases.

What are hereditary diseases?

The term hereditary diseases are those diseases that occur in parents and could also be found in their offspring. For many of these hereditary diseases, the mechanism of inheritance is unclear.

However, it is a true statement that cancer and diabetes are two common hereditary diseases.

Missing parts:

Cancer and diabetes are two common hereditary diseases. A. True B. False.

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Where will the strongest force be excerted by the scissor blades to cut through a piece of material? Explain your answer.

Answers

Answer:

in the thick part of the scissors ✂️

Explanation:

because in physics simple machine called wedge the force applied in this thick area it have thine side used to split or piece objects

One exciting fairground ride acts like a giant catapult. The capsule which the ‘rider’ is strapped in is fired high into the sky by rubber straps. Explain the energy changes taking place on the ride.

Answers

Answer:

- elastic energy of rubber straps → KE of capsule 

- KE → GPE as capsule

Explanation:

When you see a quantity like 20 m/s N, how do you know that it's a vector quantity and not a scalar quantity?

Answers

We know that 20 m/s N is a vector quantity because N in the expression signifies the direction

What is a vector quantity?

This is a which have both magnitude and direction. Example include:

VelocityDisplacementForceAccelerationMomentWeight

How to determine whether 20 m/s N is a vector quantity20 m/s indicates just the speed i.e magnitude20 m/s N indicates the speed i.e magnitude why the N indicates the direction.

Thus, we can conclude that 20 m/s N is a vector quantity because it has both magnitude and direction.

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A girl at a state fair swings a ball in a vertical circle at the end of a string, the force of the string at the bottom is: A-Less than the weight of the ball B-greater than the weight of the ball C-equal to the weight of the ball D-Zero

Can someone pls answer this question with brief explanation?

Answers

The force of the string at the bottom is greater than the weight of the ball. The correct option is B.

What is Net force?

When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.

A girl at a state fair swings a ball in a vertical circle at the end of a string.

When the ball is at the bottom . the force acting will be

The tension in the string , T = mass x centripetal acceleration + Force of gravity

So, T = m x ac + mg

Thus, the force of the string at the bottom is greater than the weight of the ball.

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please who can give me the definition of density in terms of Archimedes principle.​

Answers

[tex]\large\bold{\underline{\underline{Answer:-}}}[/tex]

The weight of the fluid displaced is equal to the buoyant force on a submerged object. The mass divided by the volume thus determined gives a measure of the average density of the object.
The density, of a substance is its mass per unit volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume: {\displaystyle \rho ={\frac {m}{V}}} where ρ is the density, m is the mass, and V is the volume.

two point charges of magnitude 4.0 μc and -4.0 μc are situated along the x-axis at x1 = 2.0 m and x2 = -2.0 m, respectively. what is the electric potential at the origin of the xy-coordinate system?

Answers

The electric potential at the origin of the xy coordinate system is negative infinity

What is the electric field due to the 4.0 μC charge?

The electric field due to the 4.0 μC charge is E = kq/r² where

k = electric constant = 9.0 × 10 Nm²/C², q = 4.0 μC = 4.0 × 10 C and r = distance of charge from origin = x₁ - 0 = 2.0 m - 0 m = 2.0 m

What is the electric field due to the -4.0 μC charge?

The electric field due to the -4.0 μC charge is E = kq'/r² where

k = electric constant = 9.0 × 10 Nm²/C², q' = -4.0 μC = -4.0 × 10 C and r = distance of charge from origin = 0 - x₂ = 0 - (-2.0 m) = 0 m + 2.0 m = 2.0 m

Since both electric fields are equal in magnitude and directed along the negative x-axis, the net electric field at the origin is

E" = E + E'

= -2E

= -2kq/r²

What is the electric potential at the origin?

So, the electric potential at the origin is V = -∫₂⁰E".dr

= -∫₂⁰-2kq/r².dr

Since E and dr = dx are parallel and r = x, we have

= -∫₂⁰-2kqdxcos0/x²

= 2kq∫₂⁰dx/x²

= 2kq[-1/x]₂⁰

= -2kq[1/x]₂⁰

= -2kq[1/0 - 1/2]

= -2kq[∞ - 1/2]

= -2kq[∞]

= -∞

So, the electric potential at the origin of the xy coordinate system is negative infinity

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What is the final temperature of 0.1 kg of water initially at 22 *C after 10 kj of heat is added

Answers

The final temperature of the given mass of water at the initial temperature is 45.8 ⁰C.

Change in temperature of the water

The change in temperature of the water is calculated as follows;

Q  = mcΔθ

Δθ = Q/mc

where;

c is specific heat capacity = 4200 J/kgC

Δθ = (10,000)/(0.1 x 4200)

Δθ = 23.8

Final temperature

T2 - T1 = 23.8

T2 = 23.8 + 22

T2 = 45.8 ⁰C

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HELP PLEASE!!! In the diagram, q1 = -6.39*10^-9 C and q2 = +3.22*10^-9 C. What is the electric field at point P? Include a + or - sign to indicate the direction. 91 92 P 0.150 m ** 0.250 m (Hint: The distance from q1 to P is NOT 0.150 m.) (Remember, E points away from + charges, and toward charges.) (Unit = N/C) HELP PLEASE!!​

Answers

Answer:

E = K Q / R^2

E1 = K Q1 / R1^2 = K * (-6.39 E-9) / .4^2 = -K 39.9 E-9

E2 = K Q2 / R2^2 = K * 3.22 E-9 / .25^2 = K 51.5 E-9

Field will point to right of P since E2 (positive) stronger

E = K (E2 - E1) = 9.0 E9 * (51.5 - 39.9) E-9 = 104 N/C

The electric field at point P is 104.6 N/C.

What is meant by electric field ?

Every place in space where a charge exists in any form has an electric attribute that can be defined as the electric field.

Here,

q₁ = -6.39 x 10⁻⁹C

q₂ = 3.22 x 10⁻⁹C

Distance from q₁ to P, d₁ = 0.4 m

Distance from q₂ to P, d₂ = 0.25 m

Electric field at P due to q₁, E₁ = k x -6.39 x 10⁻⁹/(0.4)²

E₁ = -39.9 x 10⁻⁹k N/C

Electric field at P due to q₂, E₂ = k x 3.22 x 10⁻⁹/(0.25)²

E₂ =51.52 x 10⁻⁹k N/C

Therefore, total electric field at P,

E = E₂ - E₁

E = (51.52 - 39.9) x 10⁻⁹k

E = 104.6 N/C

Hence,

The electric field at point P is 104.6 N/C.

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A velocity-time graph can give you

A. Displacement of the moving object

B. Acceleration, displacement, and velocity.

C. Velocity of the moving object

D. Acceleration of the moving object

Answers

Answer:

A). Velocity time graph gives displacement..

The area under V-t graph gives displacement.

More to know -

Velocity = speed/ time

it's speed with direction.

acceleration = rate of change of velocity

A velocity-time graph provides information about the motion of an object over time Acceleration, displacement, and velocity. The correct option is option (B).

Acceleration: The slope of the velocity-time graph represents the object's acceleration. A positive slope indicates positive acceleration (speeding up), a negative slope indicates negative acceleration (slowing down or decelerating), and a flat line indicates zero acceleration (constant velocity).

Displacement: The area under the velocity-time graph represents the displacement of the object. By calculating the area between the graph and the time axis, we can determine the total displacement.

Velocity: The graph directly shows the object's velocity at different points in time. The vertical position of the graph at any given time represents the object's instantaneous velocity.

Therefore, a velocity-time graph can provide information about the acceleration, displacement, and velocity of the moving object. The correct option is option (B).

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kepler’s second law of planetary motion states ""a line from a planet to the sun sweeps over equal areas in equal intervals of ____.""

Answers

Kepler's second law of planetary motion states, 'a line from a planet to the sun sweeps out equal areas in equal intervals of time.'

What are Kepler's laws of planetary motion?

Kepler's three laws of planetary motion include

All planets orbit the sun in elliptical orbits with the sun as the focusA line from a planet to the sun sweeps out equal areas in equal intervals of timeThe square of the period of any planet is directly proprtional to the cube of the semi-major axis of its orbit.

From the second law, we see that, a line from a planet to the sun sweeps out equal areas in equal intervals of time.

So, Kepler's second law of planetary motion states, 'a line from a planet to the sun sweeps out equal areas in equal intervals of time.'

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A 1.0-g string that is 0.64 m long is fixed at both ends and is under tension. This string produces a 100-Hz tone when it vibrates in the third harmonic. The speed of sound in air is 344 m/s. The tension in the string is closest to

Answers

The tension in the given string of 1.0 g and length of 0.64 m is closest to 2.84 N

Tension in the string

The tension in the string at nth harmonic is calculated as follows;

[tex]f_n = \frac{n}{2l} \sqrt{\frac{T}{\mu} }[/tex]

where;

n th harmonic = 3L is length of the string = 0.64 mμ is mass per unit length = (1 x 10⁻³ kg)/(0.64 m) = 0.00156 kg/mf is frequency = 100 HzT is tension in the string = ?

[tex]f_n = \frac{n}{2l} \sqrt{\frac{T}{\mu} }\\\\\frac{f_n(2l)}{n} = \sqrt{\frac{T}{\mu} }\\\\\frac{f_n^2(4l^2)}{n^2} = \frac{T}{\mu} \\\\T = \mu (\frac{f_n^2(4l^2)}{n^2})\\\\T = 0.00156(\frac{100^2 \times 4\times 0.64^2}{3^2} )\\\\T = 2.84 \ N[/tex]

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Which relationship gives the value of r when r3 is adjusted so that the voltmeter reading is zero?.

Answers

Ohm's Law is a formula used to calculate the relationship between voltage, current and resistance in an electrical circuit.

Equation :

To students of electronics, Ohm's Law (E = IR) is as fundamentally important as Einstein's Relativity equation (E = mc²) is to physicists.

E = I x R

When spelled out, it means voltage = current x resistance, or volts = amps x ohms, or V = A x Ω.

NOTE : Because resistance cannot be measured in an active circuit, Ohm's Law is particularly helpful when determining resistance. The aforementioned application of Ohm's Law allows a technician to calculate R without having to turn the circuit off to measure resistance.

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which degree is best for science student?​

Answers

Answer:

Computer Science or Science technology

Explanation:

It all depends on what aspect of science you're looking into such as biology, zoology, marine biology, etc. But since this world is evolving more and more around technology, your best bet is to get into something computer science or science technology.

write short notes on:
human made wetland​

Answers

Any type of wetland that has been developed or maintained by humans for uses such as aquaculture, irrigation, or water storage.

What is a human-made wetland​ ?

Any kind of wetland that has been created or kept up by people for purposes like water storage, irrigation, or aquaculture.

In India's Punjab state, in the Kapurthala district, lies the man-made Kanji Wetland, which includes the Kanji Lake.

In order to give irrigation facilities to the hinterland, it was built by building the headworks over the perennial Bien River, a tributary of the Beas River.

The Sunderbans are India's biggest wetland. The world's biggest mangrove forest includes Sunderban Wetland.

Hence, the human-made wetland​ is an artificial wetland.

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force of 5000N is acting on a body of mass 50kg if force of friction on the body is 100N. Calculate how long it takes for the body to gain the velocity of 50m/s from rest​

Answers

Answer:

.5102 s

Explanation:

Net force acting to accelerate the body is 5000- 100 = 4900 N

F = ma

4900 N = 50 kg * a       then a = 98 m/s^2

v= at

50 m/s  =  98 m/s^2  t        then t =  50/98 =.5102 s

A downward force of magnitude 5 n is exerted on the book by the force of.

Answers

Answer:

A downward force of magnitude 5 N is exerted on the book by the force of ... Do the downward force in Part A (gravity) and the upward force in Part B ...

draw suitable diagrams where necessary
1. describe an experiment for the measurement of specific heat capacity of a liquid by principle of mixtures

Answers

The experiment is described below in the explanation.

What is specific heat?

The specific heat is the amount of heat required to change the temperature by 1°C. It is denoted by C.

Heat lost or gained is represented as

Q = m C ΔT

In a calorimeter, a liquid is filled into the the cup with a temperature. A rod with high temperature is inserted into that liquid.

We use principle of  mixture by putting a heated rod in a liquid and then measuring the rise of temperature of liquid.

So, heat is lost by rod and gained by liquid and colorimeter.

Thus, experiment is described.

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what is the difference between an sa and an sb galaxy? (select all that apply.)

Answers

The difference between an sa and sb galaxy is Sa has a larger nucleus and more tightly wound arms than an Sb.

What is sa Galaxy?

Sa galaxies are normal spirals that have narrow, tightly wound arms, which usually are visible because of the presence of interstellar dust and, in many cases, bright stars.

What is sb Galaxy?

The arms of sb galaxy are more widely spread than those of the Sa variety and appear less smooth.

Thus, the difference between an sa and sb galaxy is Sa has a larger nucleus and more tightly wound arms than an Sb.

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which type of radio active decays​

Answers

Negative beta decay. So probably 4.

A doctor has a patient blow on one side of a U-shaped tube that is partially filled with water and has a ball floating on the other side, as shown in the image below. If the ball rises with a force of 150 N, what pressure did the patient apply to his side of the tube?



A.
0.15 Pa

b.
150Pa

c.
100,000 Pa

D.
150,000 Pa

Answers

The patient apply pressure to his side of the tube is 15 x 10⁴ N/m². The correct option is D.

What is pressure?

The pressure is the amount of force applied per unit area. It is represented as

Pressure p = Force/Area

Given is a doctor has a patient blow on one side of a U-shaped tube that is partially filled with water and has a ball floating on the other side. The ball rises with a force of 150 N. The cross section are of the tube is 0.001 m³

The pressure applied is

p = 150 /0.001

p = 15 x 10⁴ N/m²

Hence, the patient apply pressure to his side of the tube is 15 x 10⁴ N/m².

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A music-streaming service charges $9 per month for a single user. Additional users within the same household can be added for $3 per month.Write an equation that shows how the monthly cost, y, depends on the number of additional users in the household, x.Do not include dollar signs in the equation.y= what is 1/5 plus 1/10 1. according to trevor ferrell how many people does it take to make a difference? o one o an army o a dozen a nation Which us city was the first to pass a law protecting trans people?. What is parenthetical citation? Which is the northernmost of the East Coast waterways? What is the central idea of Bradfords paragraph?Those who are seamen are not allowed in the colonies.Those who do not follow God are not protected by God.Every Pilgrim arrives safely at Plymouth Plantation.Poor people are the first to become sick and die. What would the federal reserve bank (fed) do to fight inflation? a keep the supply of money the same b encourage people to make more money c slow the growth of the money supply The graphs below have the same shape. The equation of the blue graph is f(x)=|x|. Which of these is the equation of the red graph, g(x)?y f(x) = |x|A. g(x)=|x-5|B. g(x)=|xl-5C. g(x)=|x + 5|D. g(x)=|x|+5 How do you test for hydrogen? Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g. How many native Americans served in world war 2 Read the passage from Sugar Changed the World.On a plantation there were large groups of workersbetween fifty and several hundred. The mill was right next to the crop, so that growing and grinding took place in the same spot. And all the work was governed by extremely tight, rigid discipline. The Muslims began to put together the rules for this new kind of farming. Both they and the Christians experimented with using their slaves to run the plantations. At first many of the slaves working sugar plantations in the Mediterranean were Russians, or anyone captured in war. But even all this careful organization did not solve the second problem with sugar.What evidence from the passage best supports the inference that making sugar was difficult? Select two options."growing and grinding took place in the same spot""the work was governed by extremely tight, rigid discipline""Muslims began to put together the rules for this new kind of farming""experimented with using their slaves to run the plantations"many of the slaves working sugar plantations in the Mediterranean were Russians"careful organization did not solve the second problem with sugar" What are the following expressions simplified?(11 40) (9 5)(2 6) (10 8)5 6 7 - 5 6 What are some behaviors you should encourage in order to build a security-conscious culture? check all that apply. 17. Which of the following countriesreceived economic aid from the MarshallPlan?O A. FranceO B. PolandO C. RomaniaO D. The Soviet Union Imagine that you're doing an experiment to determine how the running speed of a hamster depends on the weight of the hamster when plotting your data what variable should be on the y-axis Decide which structure you are going to build, either residential building or commercial building. Give specific details about the type of the building and its location. Talk about the shape, colors and materials you are going to use. paragraph on drug addiction/abuses of drugs How do the descriptions of the weather affect our impression of this setting andhow it might feel for the characters? What images stand out the most?the air was cold and tender,