A plastic cup weighing 100 g floats on water so that 1/4 of the volume of the cup is immersed in water. How much volume of oil can be poured into the glass to keep it still sinking? The density of the oil is 900 kg / m​

Answers

Answer 1

Answer:

Any floating object displaces a volume of water equal in weight to the object's MASS. ... If you place water and an ice cube in a cup so that the cup is entirely full to the ... If you take a one pound bottle of water and freeze it, it will still weigh one ... Fresh, liquid water has a density of 1 gram per cubic centimeter (1g = 1cm^3, ...


Related Questions

Write the laws of reflection​

Answers

Answer:

i) Angle of Reflection = Angle of Incident

ii) Total Angle = 2x Angle of reflection/incidence

iii) The incident ray, reflected ray and the point of incidence lie in the same plane

Hope it helped u,

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A long, circular aluminum rod is attached at one end to a heated wall and transfers heat by convection to a cold fluid. If the diameter of the rod is doubled, by how much would the rate of heat removal change

Answers

Complete question is;

A long, circular aluminum rod is attached at one end to a heated wall and transfers heat by convection to a cold fluid. If the diameter of the rod is doubled, by how much would the rate of heat removal change?

Answer:

182.84 %

Explanation:

Formula for rate of heat transfer of an infinite log fin is given as;

q_f1 = (π/2) × (hk)^(½)) × D^(3/2)) × (T_b - T_∞)

Where D is diameter.

Now, if the diameter of the rod is doubled, it means Diameter is now 2D.

Thus;

q_f2 = (π/2) × (hk)^(½)) × (2D^(3/2)) × (T_b - T_∞)

To find how much the rate of heat removal will change, we will calculate as follows;

((q_f2/q_f1) - 1) × 100

Plugging in the relevant expressions, we have;

([[(π/2) × (hk)^(½)) × ((2D)^(3/2)) × (T_b - T_∞)]/[(π/2) × (hk)^(½)) × (D^(3/2)) × (T_b - T_∞)]] - 1) × 100

Upon simplifying, we have;

(((2D)^(3/2))/(D^(3/2)) - 1) × 100

((2^(3/2)) - 1) × 100

This gives;

182.84 %

Which 5 are examples of locomotor movements? Select all that apply.
Question 1 options:

Hopping

Galloping

Sitting

Sleeping

Walking

Running

Skipping

Eating

Answers

Answer:

Five examples of locomotor movements are:

Hopping

Galloping

Walking

Running

Skipping

Explanation:

I hope it helps ❤❤

A proton accelerates from rest in a uniform electric field of 664 N/C. At some later time, its speed is 1.46 106 m/s. (a) Find the magnitude of the acceleration of the proton. m/s2 (b) How long does it take the proton to reach this speed? µs (c) How far has it moved in that interval? m (d) What is its kinetic energy at the later time? J

Answers

Answer:

Explanation:

In an electric field E force on charge q

F = Eq , acceleration a = Eq / m

a = 664 x 1.6 x 10⁻¹⁹ / 1.67 x 10⁻²⁷

= 636.16 x 10⁸ m /s²

b )

initial velocity u = 0

final velocity v = 1.46 x 10⁶ m/s

v = u + at

1.46 x 10⁶ = 0 + 636.16 x 10⁸ x t

t = 2.29 x 10⁻⁵ s

c )

s = ut + 1/2 a t²

= 0 + .5 x 636.16 x 10⁸ x (  2.29 x 10⁻⁵ )²

= 1668 x 10⁻²

= 16.68 m

d )

Kinetic energy = 1/2 m v²

= .5 x 1.67 x 10⁻²⁷ x ( 1.46 x 10⁶ )²

= 1.78 x 10⁻¹⁵ J .

Which option correctly matches the chemical formula of a compound with its name?

A. N2O3, dinitrogen trioxide
B. N2O, trinitrogen dioxide
C. N2O, dinitrogen trioxide
D. N2O3, trinitrogen dioxide

Answers

Answer:

A is indeed correct

Explanation:

just did the question

The option that correctly matches the chemical formula of a compound with its name is NO dinitrogen trioxide.

What is dinitrogen trioxide?

Dinitrogen trioxide is one of the simple nitrogen oxide. The chemical compound formula of Dinitrogen trioxide N₂O₃.

That is, it consists of 2 molecules of nitrogen, hence the prefix "Di" and 3 molecules of oxygen given the prefix tri.

Thus, the option that correctly matches the chemical formula of a compound with its name is NO dinitrogen trioxide.

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On a car trip you drive for 2 hours and 41 minutes on a highway at a speed of 107.0 km/h. Then you stop at a gas station to fill up your tank. You also eat a quick lunch. The whole break lasts 23 minutes. After the break you start your engine up and you switch to a state road. You drive for another 3 hours and 31 minutes at a speed of 67.0 km/h before you arrive to your destination. What was your average speed for the whole trip with the lunchbreak included

Answers

Answer:

v = 79.3 km/h

Explanation:

By definition, the average speed, is the quotient between the total distance traveled and the time needed to travel that distance.The total time, is the sum of three times: one while driving before stopping at the gas station (t₁), the time spent there (t₂) and the time since leaving the gas station until reaching the final destination (t₃) .Let's convert these times to seconds first:

      [tex]t_{1} = 161 min* \frac{60s}{1min} = 9660 s (1)[/tex]

      [tex]t_{2} = 23 min* \frac{60s}{1min} = 1380 s (2)[/tex]

      [tex]t_{3} = 211 min* \frac{60s}{1min} = 12660 s (3)[/tex]

      [tex]t_{tot} =t_{1} +t_{2} +t_{3} = 9660s + 1380s + 12660s = 23700s (4)[/tex]

In order to find the total distance traveled, we need to add the distance traveled before stopping at the gas station (x₁) and the distance traveled after leaving it (x₂).Applying the definition of average speed, we can find these distances as follows:

       [tex]x_{1} = v_{1} * t_{1} (5)[/tex]

       [tex]x_{2} = v_{2} * t_{3} (6)[/tex]

where v₁ = 107.0 km/h, and v₂= 67.0 km/hAs we did with time, let's convert v₁ and v₂ to m/s:

       [tex]v_{1} = 107.0 km/h*\frac{1000m}{1km}*\frac{1h}{3600s} = 29.7 m/s (7)[/tex]

      [tex]v_{2} = 67.0 km/h*\frac{1000m}{1km}*\frac{1h}{3600s} = 18.6 m/s (8)[/tex]

Replacing (7) and (1) in (5) we get x₁, as follows (in meters):

       [tex]x_{1} = v_{1} * t_{1} = 29.7 m/s * 9660 s = 286902 m (9)[/tex]

Doing the same for x₂ with (3) and (8):

       [tex]x_{2} = v_{2} * t_{3} = 18.6 m/s * 12660 s = 235476 m (10)[/tex]

Total distance traveled is just the sum of (9) and (10):

       [tex]x_{tot} = x_{1} +x_{2} = 286902 m + 235476 m = 522378 m (11)[/tex]

As we have already said, the average speed is just the quotient between (11) and (4), as follows:

       [tex]v_{avg} =\frac{\Delta x}{\Delta t} = \frac{522378m}{23700s} = 22.0 m/s (12)[/tex]

Converted back to km/h:

       [tex]v_{avg} = 22.0 m/s*\frac{1km}{1000m}*\frac{3600s}{1h} = 79.3 km/h (13)[/tex]

What is electronegativity​

Answers

Electronegativity is a measure of an atom's ability to attract shared electrons to itself. On the periodic table, electronegativity generally increases as you move from left to right across a period and decreases as you move down a group.

what is the mass of an object that is accelerating at a rate of 25m/s^2 and using 15 N of force

Answers

Answer:

mass = 0.6 kg

Explanation:

Given

Acceleration (a) = 25 m/s²

Force (F) = 15 N

Mass (m) = ?

We know

F = M * a

15 = m * 25

m = 15 / 25

m = 0.6 Kg

Hope it will help :)

The mass of an object that is accelerating at a rate of 25 m/s^2 and using 15 N of force is 0.6 Kg.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given in the question,

Acceleration (a) = 25 m/s²

Force (F) = 15 N

Mass (m) = ?

We know

F = M * a

15 = m * 25

m = 15 / 25

m = 0.6 Kg

The mass of an object that is accelerating at a rate of 25 m/s^2 and using 15 N of force is 0.6 Kg.

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A question to think about on units: Suppose we wanted to exchange scientific information with a newly discovered species of intelligent life living on a planet orbiting the star Alpha Centauri. And suppose that our new friends have managed to become fluent in our language, but have not yet had the opportunity to visit the Earth. Which of the following statements would they understand?

a. The mass of the electron is 9.10938188 x 10^-31.
b. The speed of light is 2.99792458 x 10^8 meters/second.
c. The ratio of the proton's mass to the electron's mass is 1836.153. Explain your reasoning

Answers

Answer:

b. The speed of light is 2.99792458 x 10^8 meters/second.

Explanation:

Speed of light is a universal constant and its value is same throughout the universe . So alien living near Alpha Centauri will quickly understand about it . But other statements are not universal . Mass of electron can vary  as per relativistic formula of Einstein . Similarly , mass of proton can also vary according to relativistic concept . It depends upon the velocity of particle . So, the ratio of mass of proton and mass of electron will also vary from one star to another .

a surfer talks about riding a 20-foot wave. Which measurement of waves is the surfer describing?

frequency
amplitude
wavelength
speed

60 POINTS!!

Answers

Frequency I think that’s correct

Answer:

C. Amplitude

Explanation: Amplitude is the maximum displacement from the equilibrium of a wave. Basically the height.   

a 6.25-gram bullet traveling at 365 ms strikes and enters a 4.50-kg crate. The crate slides 0.15 m along a wood floor until it comes to rest. What is the change in kinetic energy of the system after the collision

Answers

Answer:

the change in kinetic energy of the system is 0.577 J

Explanation:

Given;

mass of the bullet, m₁ = 6.25 g = 0.00625 kg

initial velocity of the bullet, u₁ = 365 m/s

mass of the crate, m₂ = 4.5 kg

initial velocity of the crate, u₂ = 0

distance moved by the system after collision, d = 0.15 m

Determine the final velocity of the system after collision;

m₁u₁ + m₂u₂ = v (m₁ + m₂)

0.00625 x 365 + 4.5 x 0 = v(0.00625 + 4.5)

2.2813 + 0 = v(4.5063)

2.2813 =  v(4.5063)

v = 2.2813 / 4.5063

v = 0.506 m/s

The change in kinetic energy of the system after collision is calculated as;

ΔK.E = ¹/₂ (m₁ + m₂)v²

ΔK.E =  ¹/₂ (4.506) x 0.506²

ΔK.E = 0.577 J

Therefore, the change in kinetic energy of the system is 0.577 J

• How much work is
required to lift a 2kg
object 2m high?

Answers

Answer You need to consider that the gravity on earth is 9.8 m/s/s. This means any object you let go on the earths surface will gain 9.8 m/s of speed every second. You need to apply a force on the object in the opposite direction to avoid this acceleration. If you are pushing something up at a constant speed, you are just resisting earths acceleration. The more massive and object is, the greater force is needed to accelerate it. The equation is Force = mass*acceleration. So for a 2kg object in a 9.8 m/s/s gravity you need 2kg*9.8m/s/s = 19.6 Newtons to counteract gravity. Work or energy = force * distance. So to push with 19.6 N over a distance of 2 meters = 19.6 N*2 m = 39.2 Joules of energy. There is an equation that puts together those two equations I just used and it is E = mgh

The amount of Energy to lift an object is (mass) * (acceleration due to gravity) * (height)

:Hence, the Work done to life the mass of 2 kg to a height of 10 m is 196 J. Hope it helps❤️❤️❤️

Explanation:

A block of wood 3 cm on each
side has a mass of 27 g. What is the
density of the block? (Hint, don't
forget to find the volume of the
wood first using lx W h.)

Answers

Answer:

1g/cm3

Explanation:

volume of block is 3 cubed which is 27 cm3

we know density is m/v so d= 27g/27cm3

which is 1g/cm3

if my answer helps please mark as brainliest

Atoms of which pair of elements will form covalent bonds in a compound? ASAP PLZ

A. Li and Al
B. C and O
C. Co and Fe
D. Na and F

Answers

Answer:B

Explanation:

C and O

Atoms of C and O pair of elements will form covalent bonds in a compound.Therefore the correct option is B.

What is a Chemical compound?

The chemical compound is a combination of two or more  either similar or dissimilar chemical elements

for example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.

These chemical compounds are formed because of different types of bonds between the constituents elements ,the chemical bonds are mainly ionic bonds, covalent bonds,s, and hydrogen bonds.

Ionic bonds are formed due to the transfer of electrons between two bond forming pairs differentiated by their electronegativity.

Covalent bonds are formed by the sharing of electrons.Generally organic compound are formed as the reason of covalent bonds.

The carbon and oxygen atoms share their valence electrons to form a covalent bond, therefore the correct option is B.

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the distance between crest and the adjacent trough of water waves is 3m, they pass a given point at rate of 5m/s. what is the frequency and the speed of water waves?

Answers

Adujan 3m waves so 3x?

How many planets on the solar system?

Answers

Answer:

8

Explanation:

tsijtsiztuztuistizrizturzurz

Answer:

8

Explanation:

Mercury, Venus, earth , Mars, jupiter, saturn , Uranus,Neptune

The resultant of three vectors is 90.00 cm 34o N of W. If two of these three vectors are 17.89 cm 27o W of S, and 36.00 cm NW, what is the magnitude and direction of the third vector? (Ans: 57.85 cm, 44.76o N of W)

Answers

Answer:

Magnitude of the third vector: 57.85 cm

The direction of the third vector: 44.76 N of W

Explanation:

Tyler and Jim race each other up a mountain on their bicycles. Tyler rides a road bike on the switchbacks of the twisting and turning mountain road. Jim rides a mountain bike and follows a direct, but steeper, straight-line path up the mountain. They start at the same time and place at the bottom of the mountain and finish at the same time and place at the top of the mountain. From start to finish a. whose distance traveled was longer? b. whose displacement was longer? c. which rider had the faster average speed? d. which rider had the faster average velocity? e. who won the race?

Answers

Answer:

Explanation:

Displacement is minimum distance between initial and final point .

Distance is total length of path covered in a journey .

a )

Tyler covered a longer distance in the journey because total length of path covered by him is longer due to curved path .

b )

Both have same displacement , because minimum distance between initial and final point in both the case is same .

c )

average speed = distance / time

as time is same for both the case ,

average speed ∝ distance

As distance covered by Tyler is more , his average  speed is more .

d )

average velocity = displacement / time

As both displacement and time are same in both the case , average velocity in both the case is same .

e )

They start at the same time and place at the bottom of the mountain and finish at the same time , both have tie and nobody won the race , in spite of speed of Tyler being greater  .

point.
4.
i. Explain why a particle moving with a constant speed along a circular
path has a radial acceleration.
ii. Show that the acceleration of a body moving in a circular path of
radius r with uniform speed v is → and draw a diagram to show the
direction of the acceleration.
2
iii. Show that the expression à = † is dimensionally correct.​

Answers

Explanation:

Explanation: When a particle moves along a straight path, then the radius of curvature is infinitely great. This means that v2/r is zero. Explanation: When a particle moves with a uniform velocity, then dv/dt will be zero.

what is the relationship between net impulse and change in momentum?

Answers

Answer:

impulse equals the average net external force multiplied by the time this force acts. It is equal to the change in momentum.

Explanation:

. A 13-g goldfinch has a speed of 8.5 m/s. What is its kinetic energy?

Answers

PLEASE PRESS THE “Thanks!” BUTTON! :)
13 g —> 0.013 kg
KE = 1/2(m)(v)^2
KE = 1/2(0.013)(8.5)^2
KE = 0.47 J

The kinetic energy is 0.469 Joule.

The Kinetic energy is given as,

                  [tex]K.E=\frac{1}{2} m*v^{2} [/tex]

Where m is mass and v is speed of object.

Given that,  [tex]m=13g=\frac{13}{1000}=0.013Kg [/tex]  and [tex]v=8.5m/s[/tex]

Substitute values in above expression.

     [tex]K.E=\frac{1}{2}*0.013*(8.5)^{2}=0.469Joule [/tex]

Hence, The kinetic energy is 0.469 Joule.

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Problem 4.13: Sound waves travel through air at a speed of 330 m/s. A whistle blast at a frequency of about 1.0 kHz lasts for 2.0 s. (a) Over what distance in space does the "wave train" representing the sound extend? (b) What is the wavelength of the sound? (c) Estimate the precision with which an observer could measure the wavelength. (d) Estimate the precision with which an observer could measure the frequency.

Answers

Answer:

a)  x = 660 m, b)  λ = 0.330 m, c) Δλ = 0.1 cm, d)    Δf = 104

Explanation:

a) the distance in which the train of waves extends can be obtained from the uniform movement

             v = x / t

             x = v t

             x = 330 2

             x = 660 m

b) the speed of sound is related to the wavelength and frequency

             v = λ f

              λ = v / f

              λ = 330/1000

              λ = 0.330 m

c) The precision in the measurement of the wavelength refers to the error or uncertainty in the measurement, if the measurement is direct with a tape measure the precision is the appreciation of the tape measure, in general it is 0.1 cm

d) the accuracy of the frequency in general the frequency is calculated from the measurements of period T

                f = 1 / T

The precision of the period is data by the chronometer used, in general time a press of 0.01s, by the response time of the people

               Δf = df / dT    ΔT

               Δf = 1 / T² ΔT

                Δf = 1 / (0.001)² 0.01

                 Δf = 104

As we can see, a much more precise system is needed to reduce the error

The steepness of a line on a graph is called the
O A. rise
OB. slope
C.
run
D. verticle axis

Answers

Answer:

slope

Explanation:

The slope is how how steep the line is.

Hrhrhebbsbsbsbbdbfbbfbfbdbdndndndndndndndndn Slope

Help with both questions I’ll mark brainliest

Answers

Answer:

gas, liquid, solid

sound cannot travel in space

Answer:

1. gas , liquid , gas

2.sound cannot travel in space

convert 0.0345mW
to MW​

Answers

Answer:

3.45e-11MV

that is ur answer

Which statement accurately describes a relationship between parts of the
universe?
O A. There are millions of nebulae in a star.
O B. There are thousands of universes in a galaxy.
C. There are trillions of galaxies in the universe.
O D. There are billions of galaxies in a solar system.

Answers

Answer:

C. There are trillions of galaxies in the universe.

Explanation:

A. is wrong as nebulae are found inside galaxies and inside the universe, not inside stars.

B. is wrong because there are trillions of galaxies in the universe, not the latter.

D. The solar system consists of the eight planets, the Sun, comets, meteors, dwarf planets, and is inside the Milky Way galaxy and thus cannot have galaxies inside it.

Please give Brainliest

Answer:

C.

Explanation:

There are trillions of galaxies in the universe.

2. The storage in a river reach at a specified time is 3 hectare-meters. At the same instant, the inflow to the reach is 15 m3/s and the outflow is 20 m3/s. One hour later, the inflow is 20 m3/s and the outflow is 20.5 m3/s. Determine the change in storage in the reach that occurred, during the hour. What is the storage at the end of the hour? (1 hectare = 10000 m2).

Answers

Answer:

The change in storage in the reach that occurred, during the hour  = 43200 m3

The storage at the end of the hour = 129600 m3

Explanation:

Given

Storage =  3 hectare-meters

Inflow volume = 15 m3/s

Outflow volume = 20 m3/s

Storage in one hour of change

Inflow volume = 20 m3/s

Outflow volume = 20.5 m3/s

Outflow volume - Inflow volume = 0.5 m3/s = 0.5 * 24*60 * 60 = 43200 m3

Storage at the end of one hour

43200 m3 + (20-15) * 24*60 * 60 = 129600 m3

The speed of propagation of the action potential (an electrical signal) in a nerve cell depends (inversely) on the diameter of the axon (nerve fiber). If the nerve cell connecting the spinal cord to your feet is 1.3 m long, and the nerve impulse speed is 33 m/s, how long (in s) does it take for the nerve signal to travel this distance?

Answers

Answer:

Explanation:

Speed of electrical nerve signal = 33 m /s

Distance travelled = 1.3 m

time taken = distance / speed

= 1.3 / 33  

= .039 s

= 39 ms ( millisecond )  .

Question 15 of 25
What is the period of a wave that has a frequency of 30 Hz?

Answers

Answer:

0.033 seconds

Explanation:

Period = 1/30 = 0.033 seconds

Answer:

The answer is 0.03 s

Explanation:

A.P.E.X.

Explain the working and principle of perisocope.​

Answers

Answer:

a periscope use total internal reflection to allow us to see things

the reflection happens at 45°

Explanation:

Other Questions
The window is held open by cable AB. Determine the length of the cable and express the 30-N force acting at A along the cable as a Cartesian vector. Prob. 2-111 Use the curved-arrow notation to draw the mechanism for the formation of polystyrene from styrene and benzoyl peroxide. Linear polystyrene has phenyl groups that are attached to alternate, not adjacent, carbons of the polymer chain. Refer to the answer to question four to explain the mechanistic basis for this fact. Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 13 tan(x). (Use symbolic notation and fractions where needed.) T2(x) = T3(x) = Regarding the enzyme in Part 2, before the first one terminated. of these would be required if a new round of DNA replication began Which of the following is true of the newly synthesized daughter chromosomes? A. Each chromosome contains one parental and one newly synthesized DNA strand. B. They remain single-stranded until after septation. C. Each strand on each chromosome contains interspersed segments of new and parental DNA. D. They are both double-stranded, but nonidentical, because of crossing over. E. One consists of a double helix of two new DNA strands, whereas the other is entirely parental. using the volume you just calculated, determine the moles of edta that reacted with the calcium ions. Question completion status:you are the front desk manager and the hotel is sold out for tonight. you have bus groups checking into the hotel around 4 o'clock and it is going to be a very busyshift. housekeeping should be able to have all the rooms clean for the group as long as they are aware of the rooms that the front desk has assigned to the grouphow would the manager determine what rooms the group should be assigned to? Payne Corporation has the following accounts as of December 31, 2018: Total Assets $ 60,000 Total Liabilities 20,000 Total Equity 40,000 Compute the debt to equity ratio at December 31, 2018. Question 8Isaiah is driving at a constant speed on a road trip. On one full tank of gas, Isaiah can drive 360 miles. After drivingfor 3 hours, Isaiah stops for a snack and sees that he has used of a tank of gas. After that, he continues driving36 more miles at the same speed. For how much more time can Isaiah drive before he runs out of gas? Includeunits in your answer. The 1400-kg mass of a car includes four tires, each of mass (including wheels) 34 kg and diameter 0.80 m. Assume each tire and wheel combination acts as a solid cylinder. A. Determine the total kinetic energy of the car when traveling 92 km/h . B. Determine the fraction of the kinetic energy in the tires and wheels. C. If the car is initially at rest and is then pulled by a tow truck with a force of 1400 N , what is the acceleration of the car? Ignore frictional losses. D. What percent error would you make in part C if you ignored the rotational inertia of the tires and wheels? Find the 15th term of the geometric sequence 2,6,18,... Give an example of a vector field F(x, y) in 2-space with the stated property F is constant Fx, y)- Mark any/all combinations that will produce a precipitate. Aqueous solutions of iron (III) chloride and ammonium iodide Aqueous solutions of potassium carbonate and magnesium acetate Aqueous solutions of lithium nitrate and sodium fluoride Loueous solutions of calcium nitrate and sodium sulfate When you mix two liquids, the reaction vessel suddenly feels cold. What does this observation suggest? Mark any/all statements that apply. An exothermic reaction has occurred. An endothermic reaction has occurred. The chemicals released cold. The chemicals took in energy from the surroundings. A gas was produced Question 2 1 pts You react propane (C3Hz) with O2 gas. Mark any/all that apply. H2O is a product of the reaction 2 A scientist is studying how two species of sparrows interact on an island. This is a study at what level of ecology?A. populationB. communityC. worldD. genetics Using the bond dissociation energies given, calculate DH for the following reaction. CH3CH2-Br H2O CH3CH2-OH HBr + + DH KJ/mol 285 Bond A-B CH3CH2-Br H-OH CH3CH2-OH H-Br 498 393 368 Multiple Choice +108 KJ/mol -130 KJ/mol O +108 KJ/mol C) -130 KJ/mol O -22 KJ/mol +22 KJ/mol describe how you have worked with another person to achieve a goal Problem 6: String Util (10 points) Make API (API design) All software rely on data modeling to represent the things and objects within the algorithm. It's important that developers and end users can inspect the state of these data models to verify the software's results. Humans read data as text, so it is important that developers can translate data into text to evaluate the state. This is commonly done using a method to stringify the data.You're tasked to implement a String Utility class for Java that includes the following API (Application Programming Interface). Utility classes are typically helper classes that contain a collection of related static methods. For example, Math is a utility class. StringUtil Method API: Modifier and Type Method and Description static String toString(double data) Returns data as a String static String toString(float data) Returns data as a String static String toString(int data) Returns data as a String static String toString(long data) Returns data as a String static String toString(char data) Returns data as a String static String toString(boolean data) Returns data as a String Facts Your StringUtil class implementation should not have a main method. NO Scanner for input & NO System.out for output! Input The StringUtil class will be accessed by an external Java Application within Autolab. This Java app will send data in as arguments into each of the methods parameters. Output The StringUtil class should return the correct data calculations back to the invoking client code Sample Method Calls Sample Method Returns (Not Printouts) toString(1.0); toString(1.0f); toString(1); toString(1L); toString('1'); toString(true); "1.0" "1.0" "1" "1" "1" "true" the star altair has an emission spectrum true or false Select all of the following that provide an alternate description for the polar coordinates (r,0) (-1, ): (r,0) (1.2m) (r,0) (-1,2T) One way to do this is to convert all of the points to Cartesian coordinates. A better way is to remember that to graph a point in polar coordinates: ? Check work . If r 0, start along the positive z-axis. . If r 0, rotate counterclockwise. If < 0, rotate clockwise determine if each set is orthogonal, orthonormal, or neither. if it orthogonal, normalize the vectors to produce an orthonormal set Congress and the supreme court have interpreted the commerce clause broadly, expanding the areas open to federal action. do you think this is appropriate