A block of mass 2.5 kg is attached to a spring with spring constant 150 n/m and slides on a rough, horizontal surface (coefficient of kinetic friction 0.25). the spring is initially extended by a distance of 45 cm from its equilibrium position and released from rest. (a) what is the speed of the block when it is at the equilibrium position of the spring? (b) where does the block stop?

Answers

Answer 1
A boiling pot of water (the water travels in a current throughout the pot), a hot air balloon (hot air rises, making the balloon rise) , and cup of a steaming, hot liquid (hot air rises, creating steam) are all situations where convection occurs. 
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Related Questions

A two-phase, liquid–vapor mixture of h2o, initially at x 5 30% and a pressure of 100 kpa, is contained in a piston– cylinder assembly, as shown in fig p3.77. the mass of the piston is 10 kg, and its diameter is 15 cm. the pressure of the surroundings is 100 kpa. as the water is heated, the pressure inside the cylinder remains constant until the piston hits the stops. heat transfer to the water continues at constant volume until the pressure is 150 kpa. friction between the piston and the cylinder wall and kinetic and potential energy effects are negligible. for the overall process of the water, determine the work and heat transfer, each in kj.

Answers

Final answer:

In this scenario, the work done by the external agent can be calculated using the change in volume, and no heat is exchanged during this process.

Explanation:

Work: In the given scenario, since the gas volume doubles at constant temperature, the work done by the external agent can be calculated using the formula W = -PΔV, where P is the pressure and ΔV is the change in volume.

Heat Transfer: As the gas volume doubles at constant temperature, no heat is exchanged during this process. Hence, the heat exchanged is zero.

A 58.5-kg athlete leaps straight up into the air from a trampoline with an initial speed of 8.8 m/s. the goal of this problem is to find the maximum height she attains and her speed at half maximum height.

Answers

1) Maximum height
This is a uniformly accelerated motion with initial speed [tex]v_0 = 8.8 m/s[/tex] and acceleration [tex]a=g=-9.81 m/s^2[/tex] (the negative sign is required because the acceleration is directed downward, in the opposite direction of the motion, which is directed upward). The distance covered (S) in a uniformly accelerated motion is related to the acceleration and the initial and final velocity by the relationship
[tex]2aS=v_f^2-v_i^2[/tex]
At maximum height, S=h and the final velocity is zero: [tex]v_f =0[/tex]. So we can solve for h and find the maximum height:
[tex]2ah=-v_i^2[/tex]
[tex]h= \frac{-v_i^2}{g}= \frac{-(8.8 m/s)^2}{-9.81 m/s^2}=3.95 m [/tex]

2) Speed at half maximum height
Half maximum height corresponds to [tex] \frac{h}{2}= \frac{3.95 m}{2}=1.975 m [/tex]. To find the speed at this height, we can use the same relationship used in the previous step:
[tex]2a \frac{h}{2}=v_f^2-v_i^2 [/tex]
where [tex]v_f [/tex] is the speed at half maximum height.
Re-arranging and substituting numbers, we find
[tex]v_f = \sqrt{v_i^2+(2g \frac{h}{2}) }= \sqrt{(8.8m/s)^2+2(-9.81m/s^2)(1.975m)}=6.22m/s [/tex]

What is the main reason why many nuclear power plants are located near bodies of water?

Answers

The answer is: To have easy access to a coolant for the reactor.
Hope this helps!:)
~Scarlett

Johnny was playing baseball with his friends and they noticed a bolt of lightning. They heard thunder seven seconds later. How far away is the storm?

Answers


That particular strike was very roughly 2.4 km (1.5 miles) away from them.

That's if you use 340 m/s (1120 ft/sec) for the speed of sound. 
But the air in the region for several thousand feet around a thunderstorm
is doing weird things to sounds that pass through it, so you can't use any
exact number for the speed of sound in a stormy area.

The only thing you can be absolutely sure of is that Johnny and his friends
need to round up their equipment and get in the house.  NOW ! 

2,317 meters on edg!!

how does a shovel make work easier for digging a hole?

Answers

A shovel makes work easier when digging a hole because it can gather a large amount of dirt in a short period of time. Also, shovels are very strong so they can break through roots and other objects in the ground to make a hole. Hope I helped!!! :)


Suppose we are told that the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r, say rn, and some power of v, say vm. Determine the values of n and m and write the simplest form of an equation for the acceleration.

Answers

The equation:
[tex]a = r^nv^m[/tex]

The units for that equation must be:
[tex](\frac{m}{s^2}) = (m)^{-1} ( \frac{m}{s} )^2[/tex]

Answer:

Acceleration, [tex]a=k\dfrac{v^2}{r}[/tex]

Explanation:

It is given that, the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r and some power of v. Mathematically, it can be written as :

[tex]a\propto r^nv^m[/tex]

or

[tex]a=r^nv^m[/tex]...........(1)

Dimensional formula of a = [tex][LT^{-2}][/tex]

Dimensional formula of r = [tex][L][/tex]

Dimensional formula of v = [tex][LT^{-1}][/tex]

Using dimensional analysis in equation (1) as :

[tex][LT^{-2}]=[L]^n[LT^{-1}]^m[/tex]

[tex][LT^{-2}]=[L]^{n+m}[T^{-m}][/tex]

Equation both sides of equation as :

n + m = 1,  m = 2

This gives, n = -1

Use the value of m and n in equation (1) in order to get the formula :

[tex]a=kr^{-1}v^2[/tex]

[tex]a=k\dfrac{v^2}{r}[/tex]

Hence, this is the required solution.

A volleyball is dropped from a cliff and a soccer ball is thrown upward from the same position. When each ball reaches the ground at the bottom of the cliff, the volleyball will hit the ground with greater velocity.

Answers

The question is whether the statement is true or false.

The answer if false.

Explanation:

It is exactly the opposite. The soccer ball will hit the ground with greater velocity.

Since the soccer ball is thrown upward, when it returns to the same heigth from which it was throwm it will have a velocity downward, which will make that the soocer ball reaches the ground at the bottom of the clif with greater velocity than the volleball.

The greater the velocity with which the soccer ball is thrown upward, the greater its velocity when reaches the same point from which it was thrown, and the greater the velocity with which it will hit the ground at the bottom of the clif.

A 60-kg skier starts from rest from the top of a 50-m high slope. if the work done by friction is -6.0 kj, what is the speed of the skier on reaching the bottom of the slope?

Answers

Answer:

  27.9 m/s

Explanation:

You want the speed of a 60 kg skier at the bottom of a 50 m high slope if 6 kJ of energy is lost to friction.

Potential energy

The potential energy of the skier at the top of the slope is ...

  PE = mgh

  PE = (60 kg)(9.8 m/s²)(50 m)

Kinetic energy

The kinetic energy of the skier at the bottom of the slope is this potential energy, less the energy lost due to friction.

  KE = PE -6000 J

That is related to the skier's speed by ...

  KE = 1/2mv²

So, the speed is ...

  [tex]v^2=\dfrac{2\cdot KE}{m}=\dfrac{2(mgh-6000)}{m}=2\left(gh-\dfrac{6000}{m}\right)\\\\\\v^2=2\left(9.8\cdot50-\dfrac{6000}{60}\right)=780\\\\\\v=\sqrt{780}\approx27.9\quad\text{m/s}[/tex]

The speed of the skier at the bottom of the slope is about 27.9 m/s.

A torque applied to a flywheel causes it to accelerate uniformly from a speed of 161 rev/min to a speed of 853 rev/min in 5.0 seconds. determine the number of revolutions n through which the wheel turns during this interval. (suggestion: use revolutions and minutes for units in your calculations.)

Answers

First of all, let's convert the time interval into minutes. Since
[tex]60 s: 1 min = 5 s: x[/tex]
we find
[tex]\Delta t = \frac{5.0 s}{60 s/min}=0.083 min [/tex]

Then we can find the angular acceleration of the flywheel:
[tex]\alpha = \frac{\omega _f - \omega_i}{\Delta t}= \frac{853 rpm-161 rpm}{0.083 min}=8337 rev/min^2 [/tex]

At this point, we can use the law of motion of an uniformly accelerated rotational motion. The angular displacement after a time [tex]\Delta t[/tex] is given by
[tex]\theta (\Delta t)= \omega_i t + \frac{1}{2} \alpha t^2 = [/tex]
[tex]=(161 rpm)(0.083 min)+ \frac{1}{2}(8337 rev/min^2)(0.083 min)^2 =42.1 rev[/tex]
So, the flywheel covers 42.1 revolutions.

Using _________ permits scientists to temporarily enhance or depress activity in a specific area of the brain. A. TMS B. EEG C. MRI D. ESB

Answers

Using TMS permits scientists to temporarily enhance or depress activity in a specific area of the brain.

What is Transcranial magnetic stimulation ?

Transcranial magnetic stimulation (TMS) is a noninvasive procedure that uses magnetic fields to stimulate nerve cells in the brain to improve symptoms of depression. TMS is typically used when other depression treatments haven't been effective.

The electromagnet painlessly delivers a magnetic pulse that stimulates nerve cells in the region of your brain involved in mood control and depression. It's thought to activate regions of the brain that have decreased activity in depression.

a single Transcranial magnetic stimulation (TMS) pulse can cause disruption in the contralateral hand muscles for ∼200 ms. These different temporal windows of disruption across different brain regions

Transcranial magnetic stimulation targets the activity of nerve cells in your brain, which may alleviate depression symptoms. It could also have benefit for disorders like OCD, anxiety, and PTSD as well.

hence , correct option is  A. TMS (Transcranial magnetic stimulation)

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A satellite of mass 6500 kg orbits the earth in a circular orbit of radius of 7.5 106 m (this is above the earth's atmosphere).the mass of the earth is 6.0 1024 kg. what is the speed of the satellite?

Answers

The two forces, centripetal force and gravity are equal 

So, G M m / r^2 = (m V^2) / r 

so sqrt (GM/r)= V 

G is a gravitational constant which is G=6,67.10exp(-11) 

Sqrt (6.67 x 10^-11) (6 x 10^24)/7.5 x 10^6

so V= 7.30479295e9 or 7305 m/s 

Final answer:

To find the speed of a satellite in Earth orbit, we use the formula for orbital speed with the Earth's mass and the orbit's radius. After calculation, the satellite's speed is found to be approximately 7357.7 m/s.

Explanation:

The question asks for the speed of a satellite of mass 6500 kg orbiting the Earth in a circular orbit with a radius of 7.5 × 106 m. The mass of the Earth is given as 6.0 × 1024 kg. To find the speed of the satellite, we use the formula for the orbital speed:

v = √(GM/r)

where v is the orbital speed, G is the gravitational constant (6.674 × 10−12 Nm2/kg2), M is the mass of the Earth, and r is the radius of the orbit. Plugging in the given values:

v = √((6.674 × 10−12 × 6.0 × 1024) / 7.5 × 106)

After performing the calculation, we find that the speed of the satellite is approximately 7357.7 m/s.

The standard unit of work in the metric system is named after the scientist _____. 1 Albert Einstein 2 James Joule 3 Isaac Newton 4 James Watt

Answers

James Prescott Joule
I think the answer should be B. James Joule. The standard unit of work in the metric system is named after the scientist it is James Joule.

Hope it helped!

Estimate the first three standing-wave frequencies of the vocal tract. use v=344m/s. (the answers are only an estimate, since the position of lips and tongue affects the motion of air in the vocal tract.)

Answers

Vocal tract behaves like a stopped pipe. 
The fundamental frequency for a stopped pipe is given with the following formula:
[tex]f_0=\frac{v}{4L}[/tex]
Higher harmonics are simply:
[tex]f=nf_0; n=1,3,5,7,9...[/tex]
Keep in mind that the stopped pipe produces only odd harmonics. 
Lenght of a human vocal tract is 17cm(for males, females have slightly shorter vocal tract). We can now calculate the answers.
[tex]f_0=\frac{344}{4\cdot 0.17}=505.88$Hz[/tex]
Now we can calculate higher harmonics:
[tex]f_3=3f_0=1517.64$Hz[/tex]
[tex]f_5=5f_0=2529.4$Hz[/tex]

The second law of thermodynamics dictates that ____. 1 point low-quality energy becomes static some high-quality energy is always degraded the amount of energy in the universe is constantly changing low-quality energy is required to get high-quality energy

Answers

The correct option for this completion exercise is: "Some high-quality energy is always degraded". Therefore, the complete text is shown below:
 
 The second law of thermodynamics dictates that "Some high-quality energy is always degraded.
 
 It is important to know that the "Thermodynamics" is defined as a branch of physics that studies the mechanical action of heat and the others forms of energy.

Final answer:

The second law of thermodynamics states that in any energy transfer, some high-quality energy is always degraded, leading to increased disorder or entropy in the system.

Explanation:

The second law of thermodynamics dictates that some high-quality energy is always degraded to a lower quality form during energy transfers. This law further implies that no energy transfer is completely efficient, thus resulting in an increase in entropy, or disorder, within a system. This is a fundamental concept in physics that puts an arrow on the transformations of matter and energy, signifying a one-way flow from usable to less-usable forms of energy. It is most commonly observed through heat loss, where energy spontaneously transfers from a hotter object to a cooler one, increasing the disorder of the system.

A transformer changes the 10,000 v power line to 120 v. if the primary coil contains 750 turns, how many turns are on the secondary?

Answers

For a transformer, the ratio between the number of turns of primary and secondary coil is the same as the ratio between the voltages on the two coils:
[tex] \frac{N_p}{N_s}= \frac{V_p}{V_s} [/tex]
Where [tex]N_p[/tex] and [tex]N_s[/tex] are the number of turns in the primary and secondary coils, while [tex]V_p[/tex] and [tex]V_s[/tex] are the voltages on the two coils.

Using the data of the problem: [tex]N_p=750[/tex], [tex]V_p=10000 V[/tex] and [tex]V_s=120 V[/tex], we can find [tex]N_s[/tex], the number of turns of the secondary coil:
[tex]N_s=N_p \frac{V_s}{V_p}=750 \frac{120 V}{10000 V}=9 [/tex]

which jet stream affects weather in south Africa

Answers

Northern subtropical jet stream.

Rocket engineers use newton's third law during launch. identify the action force.
A. exhaust gases push down on the earth
B. rocket travels upward
C. earth pushes back on the exhaust gases

Answers

The answer is A. Newton's third law of motion states that for every action, there is an equal and opposite reaction. A rocket exerts a large force on the gas that is in the rocket chamber (action). The gas thus exerts a large reaction force forward on the rocket (reaction). The large reaction force is called thrust.
Final answer:

The action force in this scenario is earth pushes back on the exhaust gases.

Explanation:

The action force in this scenario is option C: earth pushes back on the exhaust gases.

Newton's third law states that for every action, there is an equal and opposite reaction. In this case, the action force is the exhaust gases pushing downward on the earth as the rocket launches. The reaction force is the earth pushing back on the exhaust gases with an equal force in the opposite direction.

So, while the rocket is traveling upward, the action force is the exhaust gases pushing downward on the earth and the reaction force is the earth pushing back on the exhaust gases.

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A policeman's whistle has a _____. high pitch low amplitude low pitch

Answers

high pitch
...................

A policeman's whistle has a _____.

high pitch

Which graphic design tools help you draw circles and rectangles?

Freehand tool

Geometric Shape tools

Vector Splines

Drawing tool

Answers

drawing tool im not sure if im right but hopes this helps


Geometric shape tools help you draw circles and rectangles. Option B is correct.

What is graphic design?

Graphic design is the practice of using words, pictures, and other visual elements to communicate ideas to an audience, often in order to achieve a certain result.

In other words, graphic design serves as a tool for communicating ideas through imagery and design.

For those with imaginative thinking skills who appreciate art, technology, and communication, graphic design is a terrific job.

Every business has a need for design, therefore graphic designers have a lot of opportunities to work on a variety of brand-new, fascinating projects.

You can draw circles and rectangles using geometric form tools.

Hence, option B is correct.

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What does 34.9cL equal in hL

Answers

Hello,

The answer is "0.00349 hL".

Reason:

34.9cL=0.00349hL

(Remember to go left 6 places when doing this question)

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit 


what was perphaps the greatest challenge of human space flight?

Answers

Space is more hostile to the human body.

the risk of human lifes

What does it mean to say that science is a “systematic” process?

Answers

done or acting according to a fixed plan or system; methodical.

Science is a systematic process, which means it follows a careful method that involves observation and experimentation. Through experimentation, information is collected that supports or refutes a scientist’s hypothesis.

edginuity answer

A property unique to a conducting substance that determines its resistance is called

Answers

It is called "electric resistivity".
Resistivity is a property of every substance that specifies how strongly that material opposes to the flow of electric current through it.
The resistance of a piece of wire of length L and cross-sectional area A is related to the resistivity of the material, [tex]\rho[/tex], by the formula
[tex]R= \frac{\rho L}{A} [/tex]

Answer:

Electrical Resistivity

Explanation:

As we know that all different type of conductors has its different unique resistivity due to which all conductors will show different resistance for same shape and size.

As we know that the resistance of a conductor is given as

[tex]R = \rho\frac{L}{A}[/tex]

here we know

[tex]\rho[/tex] = resistivity

L = length of conductor

A = crossectional area of conductor

so here for all conductors the resistivity is unique property due to which all will show different resistance

The potential energy of a book on a shelf is 50 J. If the book is now on the floor (below the shelf), its potential energy is

Answers

Hello!

If the book is now on the floor (below the shelf), its potential energy is 0 J.

Potential Energy
is defined as the energy that is capable of generating work as a consequence of the location of the object.

When the book is on a shelf, it is capable of generating work by falling from the shelf onto the floor by the force of gravity. This is called gravitational potential energy.

When the book is on the floor, it is no longer capable of generating work by falling, and its potential energy is 0 as it can't fall anymore and generate work.

Have a nice day!

Answer:

shelf a is increase shelf b is stay the same and shelf c is decrease

Explanation:

i did it on edu

A fixed mass of an ideal gas is heated from 50 to 80℃ at a constant pressure of (a) 1 atm and (b) 3 atm. for which case do you think the energy required will be greater? why?

Answers

Final answer:

The energy required to heat a fixed mass of an ideal gas from 50 to 80℃ is the same at both 1 atm and 3 atm, as it depends on the gas's heat capacity and the temperature change, not pressure.

Explanation:

The energy required to heat a fixed mass of an ideal gas from 50 to 80℃ would be the same for both cases of constant pressure at 1 atm and 3 atm. The reason behind this is that the amount of energy required to raise the temperature of an ideal gas is dependent on its heat capacity and the change in temperature, not the pressure at which it is heated. In both cases (a) and (b), the change in temperature is the same, so the energy required will also be the same.

Wrap a fur coat around a thermometer. how does the temperature change?

Answers

Heat is not generated by fur coats, it's generated by the person wearing the coat, or the animal the fur is on. That's why when you get into bed on a cold night, the sheets are cold at first, but your own body heat warms them up.

Which statements describe chemical changes? Check all that apply.
The after-rain smell is produced by an interaction between rain and the oils released by plants.
A homemade volcano can be created by combining baking soda and vinegar. When it erupts, carbon dioxide gas is released.
Sheep are sheared for their wool. The wool is cleaned and twisted into yarn. The yarn is dyed and used to knit clothing.
The Statue of Liberty has turned green over time due to the reaction of copper with carbon dioxide and water.
Mosaic art is created by smashing colored glass tiles and rearranging them to form a picture or design.

Answers

The answers are a,b and d

Answer: A, B, and D

The value for the index of refraction for any material must be

Answers

Larger than one.

In fact, the index of refraction of a medium is the ratio between the speed of light in vacuum (c) and the speed of light in that medium (v):
[tex]n= \frac{c}{v} [/tex]
But the maximum speed the light can travel at is exactly c, the speed of light in vacuum: so v is always less (or equal, in case of vacuum) than c, and so n is always greater than 1.

A lunar exploration vehicle was created by a research team. It weighs 3,000 kg on the earth. It needs an acceleration of 10 m/s2 on the moon. In order to have the same acceleration, what will be the net force acting on the vehicle on the earth?

Answers

Answer = 30,000 N

EXPLANATION

Applying Newton’s second of law of motion, which in summary, states that the acceleration of an object... is directly proportional to the magnitude of the net force... and inversely proportional to the mass of the object.

Therefore, Force = Mass * Acceleration
F = ma

Mass, m = 3,000 kg
Acceleration, a = 10 m/s²
Force, F = 3,000 × 10
= 30,000 N

A spring with a spring constant of 95 n/m is compressed a distance of 0.45 m from its relaxed position. by how much does the spring\'s potential energy change?

Answers

Final answer:

The potential energy change of a spring with a spring constant of 95 N/m compressed by 0.45 m is approximately 9.62 J, calculated using the formula U = 1/2 kx².

Explanation:

When a spring with a spring constant of 95 N/m is compressed a distance of 0.45 m from its relaxed position, the potential energy of the spring changes according to the formula for elastic potential energy, U = 1/2 kx², where 'k' is the spring constant and 'x' is the distance of compression or extension from the equilibrium position. In this case, the spring's potential energy change is calculated as U = 1/2 × 95 N/m × (0.45 m)².

By computing this, U = 1/2 × 95 × 0.45² = 0.5 × 95 × 0.2025 J. This results in U = 9.61875 J, so the potential energy of the spring changes by approximately 9.62 J.

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Jaclyn sells candles that are in the shape of cones. She makes a green candle that has a radius of 2.5 inches and a height of 9 inches. She sells each candle at a price of $0.25 per cubic inch of wax. Which statements about the green candle are true? Check all that apply. Use 3.14 for pie.The volume of the green candle is about 23.55 in.(cubed)The volume of the green candle is about 58.88 in. (cubed)The diameter of the green candle is 5 in.The diameter of the green candle is 1.25 in.The base area of the green candle is about 19.63 in. (squared)The base area of the green candle is about 7.85 in. (squared)The price of one green candle is about $5.89.The price of one green candle is about $14.72. Given: ABCD is a parallelogram mA = 60 ; BK AD AK = KD; Perimeter of ABCD = 24 Find: BD. Complete the table by summarizing the effects of the us annexing lands obtained after the Spanish American war Which ecosystem best fits the characteristics listed below? ii. seasonal migrations of millions of wildebeests, zebras, and elephants iii. large numbers of predators, such as lions iv. acacia trees and grasses a. the congo rainforest b. the african mangroves c. the serengeti grasslands d. the sahel Which scientist suggested that the earth was at the center of the solar system? A. Galileo B. Copernicus C. Newton D. Ptolemy Magnesium sulfate heptahydrate is heated until all the water is driven off. The sample loses 11.80 grams upon heating. What was the mass of the original sample? PLEASE HELP ME! I keep getting the wrong answer.Given the parent functions f(x) = 5x 1 and g(x) = 3x 9, what is g(x) f(x)?g(x) f(x) = 3x 8 5xg(x) f(x) = 3x 10 5xg(x) f(x) = 2x 8 3xg(x) f(x) = 2x 10 3x, Which sentence does not contain any errors in capitalization? A. Yes, I'm learning JavaScript so that I can be a Programmer. B. We have a framed copy of the declaration of independence on our living room wall. C. This fall my sister will be going to Brooksville Junior College. D. What exactly are the duties of the bureau of land management? Why were some women opposed to the idea of women's rights? (Points : 2) They felt they were better off having men take care of them. They felt voting was something only white men should do. They believed that men were the superior sex. All of the above., A chemist weighed out 101. g of potassium. Calculate the number of moles of potassium she weighed out.Round your answer to 3 significant digits. which sentence doesn't belong in the paragraph. when the time came to go home, i could not open my locker. In my last period of gym class, I hurt my ankle. Today was a day when everything seemed to go wrong. Tomorrow, I promise myself, i will wake up on time. First, I overslept. Then I realized i had forgotten my library book. My hobby is stamp collecting. Because of that, I almost missed my bus. Which sentence contains an adverb? Question 2 options: Susan read the book to her baby sister. We are going to watch a movie with our friends. The ball rolled quickly down the steep hill. No one wants to play basketball with me. Why were Zlata and her father afraid for Zlata`s mother`s life? Holding yourself to a standard of professional perfection is healthy. True FalseI think false How did Grant capture Vicksburg in May 1863?Grant's siege forced the starving Confederates to surrender.Grant attacked from the North defeating Pemberton.Grant led a surprise attack across the west bank of the Mississippi and captured Vicksburg. Which diagram represents rx RO,180? look at the map below. during the 15th through 18th centuries, many european explorers sought alternate trade routes to asia to avoid passing through which region?A. Region BB. Region CC. Region DD. Region A In the casino game roulette players bet on which of 38 equally likely outcomes will occur on a single spin of the wheel. The probability of the ball landing on black is 18/38. If you bet $100 on black, which of the following is the best choice for your expected value?a)-$5.26b)+$5.26c)+$52.63d)-$52.63e)0.00Answer is a) -$5.26, just not sure how to achieve that. I know it's asking to find the mean (mu). If the width of a rectangle is 3in less than the length, and the perimeter of the rectangle is 14in, find the length and width of the rectangle. When would you say "Te queda bien"?a. when your friend needs helpb. when your friend looks nice in a new piece of clothingc. when you need to borrow somethingd. when your friend's sweater looks too large for her