An automobile travels on a straight road for 55 km at 20 km/h. It then continues in the same direction for another 60 km at 55 km/h. What is the average velocity (km/h) of the car during the full 115 km trip

Answers

Answer 1

Given :

Speed of automobile for first 55 km , [tex]v_1=20\ km/h[/tex] .

Speed of automobile for first 60 km , [tex]v_2=55\ km/h[/tex] .

To Find :

Average velocity of the full trip .

Solution :

We know , average velocity is given by :

[tex]v_{avg}=\dfrac{\text{Total distance covered}}{\text{Total time taken }}[/tex]

Now , time is given by :

[tex]T=\dfrac{D}{v}[/tex]

So ,

[tex]v_{avg}=\dfrac{55+60}{\dfrac{55}{20}+\dfrac{60}{55}}\\\\v_{avg}=29.94\ km/h[/tex]

Therefore , the average velocity (km/h) of the car during the full 115 km trip is 29.94 km/h .

Hence , this is the required solution .


Related Questions

How does work affect energy between objects so it can cause a change in the form of energy? Work transfers energy. Work changes energy. Work increases energy. Work decreases energy.

Answers

Answer:

Work can transfer energy between objects and cause a change in the amount of total energy. Work can transfer energy between objects and cause a change in the form of energy. ... When a spring is compressed, the energy changes from kinetic to potential.

Answer:

I think its either A or B

Explanation:

What are the 2 main parts of physical science

Answers

Answer:

Physical science is the study of the inorganic world. That is, it does not study living things. (Those are studied in biological, or life, science.) The four main branches of physical science are astronomy, physics, chemistry, and the Earth sciences, which include meteorology and geology.

Explanation:

Solue the Selmultaneous equations:
3y +2x =5 and y-5x = 13​

Answers

Answer:

x=-2 and y=3

Explanation:

Isolate y and then x to get: y=13+5(-2)

Simplify to get y=3 then plug it back in to get x=-2

We can check, 9+ (-4)=5 hope this helps

A bowling ball starts from rest and moves 300 m down a long, downwardly angled track in 22.4 sec.a. What is its speed at the end of the track? [27 m/s]b. What is its acceleration? [l.2 m/s2]c. Sketch three graphs: Δx vs. Δt, v vs. Δt and a vs. Δt. We are interested in the initial and final values, and the general shape of the graph, (linear, exponential, etc)

Answers

Answer:

The speed at the end of the track = 27 m/s

The acceleration = 1.2 m/s²

Please find the Δx vs Δt, v vs Δt, a  vs Δt

Explanation:

We have;

x = u·t + 1/2·a·t²

Where;

x = The distance = 300 m

u = The initial velocity = 0 m/s (Ball at rest)

t = The time taken = 22.4 s

Therefore;

300 = 0 + 1/2×a×22.4²

a = 2×300/22.4² = 1.19579 ≈ 1.2 m/s²

v = u + a×t

∴ v = 0 + 1.2 × 22.4 = 26.88 ≈ 27 m/s

Part of the table of values is as follows;

t,                                     x,                                          v

0,                                    0,                                        0

0.4,                                 0.095663,                         0.478316

0.8,                                 0.382653,                          0.956632

1.2,                                   0.860969,                         1.434948

1.6,                                   1.530611,                            1.913264

2,                                     2.39158,                              2.39158

2.4,                                  3.443875,                           2.869896

2.8,                                   4.687497,                          3.348212

3.2,                                   6.122445,                           3.826528

3.6,                                   7.748719,                             4.304844

what quantity of heat will be needed to melt 3kg of ice at -2 degree Celsius to 10 degree Celsius given that S.H.C of water is 4200j/kg.k.Specific latent heat of fusion is 3.36 times 10 raised to the power 5j/k.SLC is 2100j/kg​

Answers

Answer:

1.15×10⁶ J

Explanation:

Heat needed to bring the ice to 0°C:

q = mCΔT

q = (3 kg) (2100 J/kg/K) (0°C − (-2°C))

q = 12,600 J

Heat needed to melt the ice:

q = mL

q = (3 kg) (3.36×10⁵ J/kg)

q = 1,008,000 J

Heat needed to bring the water to 10°C:

q = mCΔT

q = (3 kg) (4200 J/kg/K) (10°C − 0°C)

q = 126,000 J

The total heat is:

q = 12,600 J + 1,008,000 J + 126,000 J

q = 1,146,600 J

q = 1.15×10⁶ J

need physics help! (there’s a picture)

Answers

Answer:

i. Subtract v₀² from both of the equation.

ii. Divide both side of the equation by 2

iii. Divide both side of the equation by (x – x₀)

a = (v² – v₀²) / 2(x – x₀)

Explanation:

v² = v₀² + 2a(x – x₀)

To solve for a in the expression above, do the following:

i. Subtract v₀² from both of the equation.

v² – v₀² = v₀² – v₀² + 2a(x – x₀)

v² – v₀² = 2a(x – x₀)

ii. Divide both side of the equation by 2

(v² – v₀²) /2= 2a(x – x₀)/2

(v² – v₀²) /2 = a(x – x₀)

iii. Divide both side of the equation by (x – x₀)

(v² – v₀²) /2 ÷ (x – x₀) = a(x – x₀)/(x – x₀)

(v² – v₀²) /2 × 1/ (x – x₀) = a

a = (v² – v₀²) / 2(x – x₀)

34. A chain of hamburger restaurants advertises that it
has sold more than 50 billion hamburgers over the
years. Estimate how many pounds of hamburger
meat must have been used by the restaurant chain
to make 50 billion hamburgers and how many head
of cattle were required to furnish the meat for these
hamburgers.

Answers

Answer:

"12.50 × 10⁹" pounds of hamburger. The further explanation is given below.

Explanation:

Sold hamburger

=  more than 50 billion

To get pounds of hamburger,

=  [tex]50 \ billion\times 0.125 \ lbs[/tex]

=  [tex]12.50 \ billion \ pounds[/tex]

=  [tex]12.50\times 10^9 \ lb[/tex]

On divide pounds of hamburgers by pounds of burger meat through one head of cattle, we get

⇒  [tex]\frac{12.5 \ billion}{350}[/tex]

⇒  [tex]35714285 \ cattle[/tex]

Chemical bonds form when (A)atoms share a nucleus. (B)atoms share protons. (C)atoms share neutrons. (D)atoms share electrons.

Answers

Answer:

d) atoms share electrons

Explanation:

Atoms with relatively similar electronegativities share electrons between them and are connected by covalent bond. Atoms with large differences in the electronicnegativity transfer electron's to form ions. The ions are then attracted to each other.

Answer:

D.

Explanation:

edge

A driver sees a boy and his dog in the road, and it takes the driver 0.50 seconds to put on the brakes. If the car travels 14 meters during that time, what is its velocity?

Answers

Answer:

The answer would be 91.9 or 91.8635

Hope this helps

A driver sees a boy and his dog on the road, and it takes the driver 0.50 seconds to put on the brakes, If the car travels 14 meters during that time, the velocity of the car would have been 56 m/s,

What are the three equations of motion?

There are three equations of motion given by  Newton

The first equation is given as follows

v = u + at

the second equation is given as follows

S = ut + 1/2×a×t²

the third equation is given as follows

v² - u² = 2×a×s

As given in the problem a driver sees a boy and his dog on the road, and it takes the driver 0.50 seconds to put on the brakes, If the car travels 14 meters during that time,

t = 0.5 s , s = 14 m

By using the first equation of the motion,

v = u+at

0 = u+a×0.5

a = -2u m/s²

Now by using the second equation of motion,

s = ut+1/2at²

By substituting t=0.5 and a = -2u m/s² in the equation ,

14 = u/2-u/4 = u/4

u = 56 m/s

Thus, the velocity of the car would have been 56 m/s,

Learn more about equations of motion from here,

brainly.com/question/5955789

#SPJ2

If there is no dropped ceiling, or if the drop is not as much as the height of the recessed luminaires, you will find that the center-to-center spacing of recessed luminaires will have to be in increments of ____________________ ft.

Answers

Answer:

The answer is "4".

Explanation:

The luminaire would be recessed inside a wall, so that, dependent on the surface mountings, its top-level is flush with the ceiling. It is the hanging under the primary structural, in which the drop was an area of the above falling ceiling, that referred to its full space, because it will be generally used for the HVAC air return and the total space is also used to obfuscate piping, cabling, and ducts, that's why the middle-to-middle spacing of curved lighting systems would have to be in incremental increases of 4 ft.

7) Is it possible to have zero distance but a nonzero displacement?
Yes or No because ...

Answers

Answer:

Hey there!

No. Displacement is always less than or equal to the distance.

Let me know if this helps :)

A exercise ball is on a table 2.5 m above the ground. What is the mass
of the ball if it has a GPE of 56.8 J?

Answers

Answer:

2.27kg

Explanation:

The Potential energy gained = Force gravity× Height

Force gravity on the ball is GPE/ height

56.8/2.5=22.72N

the mass = 22.72/10= 2.27kg

The mass of the ball when the gravitational potential energy of 56.8 J present is 2.27 kg.

What is gravitational potential energy?

The potential energy is the energy by virtue of its position in the effect of gravity.

Given is an exercise ball is on a table 2.5 m above the ground. It has a gravitational potential energy of 56.8 J.

Potential energy = gravity force × height

P.E =mgh

56.8 J = m x 9.8 x 2.5

m = 2.27kg

Thus, mass of the ball is 2.27 kg.

Learn more about gravitational potential energy.

https://brainly.com/question/3884855

#SPJ1

Explain newton 2nd law ???

Answers

Explanation:

Newton's second law simply says that the net force on an object is equal to the object's mass times its acceleration.

∑F = ma

For example, think of a game of tug-of-war, in which two teams pull on a rope in opposite directions.

If the forces are equal (balanced), then the net force is 0 N, so Newton's second law tells us that the rope's acceleration is 0 m/s².

If the forces are not equal (unbalanced), then the net force is not 0 N, and the rope will accelerate in the direction of the net force.

Which of the following is a chemical property of matter?
combustibility
weight
electrical conductivity
odor

Answers

Answer:

The correct answer is combustibility

Explanation:

A chemical property of a matter is a property in which a matter has the tendency to change its form through chemical reaction(s).

A matter is said to have combustibility property if it can undergo combustion. Combustion is a chemical process in which a substance burns in excess oxygen to produce carbon dioxide and water.

Consider the equation below

CH₄ + O₂ ⇒ CO₂ + H₂O

The equation above shows methane burning in excess oxygen to produce carbon dioxide and water

The answer is electrical conductivity!

Consider three widely separated galaxies in an expanding universe (look at picture below). Imagine that you are located in galaxy 1 and observe that both galaxies 2 and 3 are moving away from you. If you asked an observer in galaxy 3 to describe how galaxy 2 appears to move, what would he or she say?

Answers

Answer:

hi... I won't be able to give you a detailed explanation but here's as far as i know:

If you ask someone in galaxy 3 how galaxy 2 appears to move, they'd say that it seems to move away from them too.

Explanation:

Our universe is constantly expanding, right? But there is no central point in the whole expansion thing. A common example used to describe this is a balloon being blown up. Imagine there are little dots on the balloon. When the balloon is blow up, the dots seem to move away from each other but there isn't any one that stays where it is. So that's kind of like the universe.

Galaxy 3 will see galaxy 2 move away from it too.

I don't know a lot about this so please correct me if I'm wrong but... hope this helps.

Duas cargas elétricas Q¹= 15.10-seis ao quadrado C e Q² = 150.10-seis ao quadrado, estão separadas por uma distância de 0,1m, no vácuo. Determine a intensidade da força elétrica de repulsão existente entre as cargas. Dá uma força ae clã!

Answers

Answer:

The electric field intensity of electric force is [tex]1.35\times10^{7}\ N/C[/tex]

Explanation:

Given that,

First charge [tex]q_{1}=15\times10^{-6}\ C[/tex]

Second charge [tex]q_{2}=150\times10^{-6}\ C[/tex]

Distance = 0.1 m

We need to calculate the electric field intensity of electric force

Using formula of intensity of electric force

[tex]E=\dfrac{F}{q_{2}}[/tex]

[tex]E=\dfrac{kq_{1}}{r^2}[/tex]

Put the value into the formula

[tex]E=\dfrac{9\times10^{9}\times15\times10^{-6}}{(0.1)^2}[/tex]

[tex]E=13500000\ N/C[/tex]

[tex]E=1.35\times10^{7}\ N/C[/tex]

Hence, The electric field intensity of electric force is [tex]1.35\times10^{7}\ N/C[/tex]

How fast is a skateboarder traveling if she travels 2 miles in 4 hours?​

Answers

This question is asking for the speed of the skateboarder. speed= distance/time. In this question we will do 2/4 in order to get a speed of 0.5 mph.

How to solve this step by step.

Answers

Answer:

a = (v² − v₀²) / (2 (x − x₀))

Explanation:

v² = v₀² + 2a(x − x₀)

Subtract v₀² from both sides.

v² − v₀² = 2a(x − x₀)

Divide both sides by 2 (x − x₀).

(v² − v₀²) / (2 (x − x₀)) = a

For a particular type of motion, the velocity is zero but the speed is a nonzero quantity. Which statement can you make about this motion

Answers

Answer:

because speed is the modulus of velocity which is a vector

the velocity to be zero it must be a round trip

Explanation:

This is because speed is the modulus of velocity which is a vector.

For the velocity to be zero it must be a round trip, therefore the resulting vector zero

On the other hand, the speed of the module is the same in both directions

I WILL GIVE BRAINLIEST!!!! Your friend stands on the roof of her house, which is 12.2 m off the ground, and kicks a soccer ball to you so that it is initially moving horizontally at 13.9 m/s. What is its speed as it hits the ground? The time is 1.58 seconds.

Answers

Answer:

16.74 m/s

Explanation:

From the question, the parameters given are:

Height h = 12.2 metres

Initial velocity U = 13.9 m/s

Time t = 1.58 s

The range or distance covered by the ball will be

R = u^2/g

Where g = 9.8 m/s^2

R = 13.9^2/9.8

R = 193.21/9.8

R = 19.72 m

Let first calculate the acceleration by using the formula below

R = Ut + 1/2at^2

Substitute all the parameters into the formula

19.72 = 13.9 × 1.58 - 1/2 × a × 1.58^2

19.72 = 21.962 - 1.2482a

Collect the like terms

-1.2482a = 19.72 - 21.962

- 1.2482a = - 2.242

a = 2.242/1.2482

a = 1.796 m/s^2

Using equation 1 to find the final speed

V = U + at

V = 13.9 + 1.796 × 1.58

V = 13.9 + 2.838

V = 16.74 m/s

Therefore, it hit the ground at speed 16.74 m/s

Calculate the peak voltage of a generator that rotates its 200-turn, 0.100 m diameter coil at 3600 rpm in a 0.800 T field.

Answers

Answer:

The peak voltage is 473.86 V

Explanation:

Given;

number of turns of generator, N = 200  turn

diameter of the coil, d = 0.1 m

radius of the coil, r = 0.05 m

Magnitude of the magnetic field, B = 0.8 T

angular frequency, ω = 3600 rpm

angular frequency, ω (rad/s) = [tex]\frac{2\pi}{60} *3600\ rpm = 377.04 \ rad/s[/tex]

The peak voltage is given by;

E = NBAω

Where;

A is the area of the coil = πr² =  π (0.05)² = 7.855 x 10⁻³ m²

E = (200)(0.8)(7.855 x 10⁻³)(377.04)

E = 473.86 V

Therefore, the peak voltage is 473.86 V

Diya visited a tailor shop and bought home three cuttings of fabric A,B and C to study their properties. Diya tried burning the three fibres. Fabric A smelt of burning paper,fabric B smelt of burning hair while fabric C shrunk on burning. Can you help Diya identify fabrics A,B and C

Answers

Answer:

Rayon

Wool

Silk Yarn

Explanation:

Rayon

This is Fabric A. Rayon basically burns very quickly even quicker than fabrics like cotton and linen. Its ash is gray in color. The rayon fabric smells of burning paper when it is burnt.

Wool:

This is Fabric B. Wool is basically hard to ignite. It burns slowly. Its ash is dark in color. The wool fabric smells of burning hair when it is burnt.

Silk Yarn:

This is Fabric C. The silk yarn shrinks from the flame when it is burned. It has a grayish black ash. The silk yarn fabric smells burnt meat of  when it is burnt.

9. An efficient LED light bulb uses energy at a rate of 7 watts or 7 J/second. What
total amount of electrical energy is used if the light is on for 2 hours?

Answers

Answer: 50,400 J

Explanation:

K= 1/2mv^2
K=1/2(210kg)(10.5 m/s)^2

answer:
unit:

Answers

Answer:

11577.25 Joules

Explanation:

The expression given in the question which is

[tex]k= \frac{1}{2} mv^2[/tex]  

Is the expression for the kinetic energy stored in a system and it is measured in Joules

From the expression we can see that

mass m=210 kg

velocity v= 10.5 m/s

Substituting as seen in the question we have the kinetic energy as

[tex]k= \frac{1}{2}*210*10.5^2\\\\k= \frac{1}{2}*210*110.25\\\\k= \frac{1}{2} *23152.5\\\\k= 11577.25 J[/tex]

hence the energy stored is 11577.25 Joules

if 1,000 J of energy is added to a steak engine, and 400 J of work is done by the engine, how much thermal energy ends up being added to the engine

Answers

Answer:

To indicate that energy has been added or removed as heat or work to a system, the internal energy of the system is calculated.

This is because:

1- the internal energy follows the formula:

ΔU = Q - W

2- the internal energy is indicated by any alternation in temperature

Therefore, the answer is:

internal energy

Convert 0.0351 kg to mg. (1,000,000 mg = 1 kg)​

Answers

Answer:

The required answer is 35100

Answer:

35100mg

Explanation: When converting bigger to smaller units, we move the decimal point to the right side. As there are 6 zeroes, The decimal point will move six places to the right. Therefore answer id 35100mg

1.) Identify two types of heat?

One type of heat causes a change in temperature, the other type of heat causes a change of state.


Answers

Answer:

Explanation:

Thermal Energy and Heat

Shards of ice fly from the sculptor’s chisel. As the crowd

looks on, a swan slowly emerges from a massive block of ice. As

the day wears on, however, drops of water begin to fall from the

sculpture. Drip by drip, the sculpture is transformed into a puddle of liquid water. What makes matter change from one state to

another? To answer this question, you need to think about the

particles that make up matter.

Energy Simply stated, energy is the ability to do work or cause

change. The energy of motion is called kinetic energy. Particles

within matter are in constant motion. The amount of motion of

these particles depends on the kinetic energy they possess. Particles

with more kinetic energy move faster and farther apart. Particles

with less energy move more slowly and stay closer together.

The total kinetic energy of all the particles in a sample of

matter is called thermal energy. Thermal energy, an extensive

property, depends on the number of particles in a substance as

well as the amount of energy each particle has. If either the

number of particles or the amount of energy in each particle

changes, the thermal energy of the sample changes. With identically sized samples, the warmer substance has the greater thermal energy.

A hollow steel shaft is to transmit 4200 n.m of torque and is to be sized so that the torsional stress does not exceed 120 mpa

Answers

A hollow steel shaft is to transmit 4200 n.m of torque and is to be sized so that the torsional stress does not exceed 120 Mpa

If the inside diameter is 70 percent of the outside diameter, what size shaft should be used?

Answer:

the preferred outer diameter  of the hollow steel shaft obtained a little bit higher than 61.67 mm is 80 mm

the preferred inner diameter of the hollow steel obtained a little bit lower than 56 mm is 50 mm

Explanation:

From above;

let the inside diameter be [tex]d_i[/tex]

let the outside diameter be [tex]d_o[/tex]

Then

[tex]d_i[/tex] = 70%  [tex]d_o[/tex]

[tex]\dfrac{d_i}{d_o} = \dfrac{70}{100}[/tex]    

[tex]\dfrac{d_i}{d_o} =0.7[/tex]   ------ (1)

to determine the outer diameter of the hollow steel shaft by using the equation of the torque, we have:

[tex]T = \dfrac{\pi}{16} \times \tau \times d_o^3 ( 1 - (\dfrac{d_i}{d_o})^4)[/tex]

where;

[tex]\tau[/tex] = torsoinal shear stress = 120 MPa

[tex]4200= \dfrac{\pi}{16} \times 120\times 10^6 \times d_o^3 ( 1 - 0.7)^4)[/tex]

[tex]4200= 0.19635 \times 120\times 10^6 \times d_o^3 (0.7599)[/tex]

[tex]4200=17904763.8 \ d_o^3[/tex]

[tex]d_o^3 = \dfrac{4200}{17904763.8}[/tex]

[tex]d_o^3 = 2.3457 \times 10^{-4}[/tex]

[tex]d_o =\sqrt[3]{2.3457 \times 10^{-4}}[/tex]

[tex]d_o =0.06167 \ m[/tex]

[tex]d_o =0.06167 \ m \times (\dfrac{1000 \ mm}{1 \ m})[/tex]

[tex]d_o =61.67 \ mm[/tex]

From the tables of A-17 of sized and Renard Numbers,

the preferred outer diameter  of the hollow steel shaft obtained a little bit higher than 61.67 mm is 80 mm

However, from equation (1)

[tex]\dfrac{d_i}{d_o} =0.7[/tex]   ------ (1)

replacing the value of [tex]d_o[/tex]

[tex]\dfrac{d_i}{80} =0.7[/tex]

[tex]d_i = 80 \times 0.7[/tex]

[tex]d_i = 56 \ mm[/tex]

From the tables of A-17 of sized and Renard Numbers,

the preferred inner diameter of the hollow steel obtained a little bit lower than 56 mm is 50 mm

Light of wavelength 500 nm illuminates a round 0.50-mm-diameter hole. A screen is placed 6.0 m past the slit. What is the width of the central bright circle on the screen

Answers

Answer:

14.64*10^-3 m

Explanation:

given that

Length of the wavelength, λ = 500*10^-9 m

Diameter of the hole, D = 0.5 mm

length of the slit, L = 6 m

W = 2.44 λL / D, where

W = width of the screen in m

λ = wavelength of the light in nm

L = length of the slit in m

D = diameter of the hole in m

on substituting the values, we have

W = (2.44 * 500*10^-9 * 6) / 0.5*10^-3

W = 7.32*10^-6 / 0.5*10^-3

W = 0.01464 mm

or also, 14.64*10^-3 m

Which kinds of objects emit visible light in the electromagnetic spectrum?

Answers

answer :

Visible: Our eyes detect visible light. Fireflies, light bulbs, and stars all emit visible light. Ultraviolet: Ultraviolet radiation is emitted by the Sun and are the reason skin tans and burns. "Hot" objects in space emit UV radiation as well.

Which objects emit electromagnetic waves?

All objects emit electromagnetic radiation according to their temperature. Colder objects emit waves with very low frequency (such as radio or microwaves), while hot objects emit visible light or even ultraviolet and higher frequencies.

Other Questions
A cellist tunes the C string of her instrument to a fundamental frequency of 65.4 Hz. The vibrating portion of the string is 0.590 m long and has a mass of 15.0 g. (a) Calculate the wavelength corresponding to this fundamental frequency? (b) Calculate the wave speed. (c) With what tension must the musician stretch the string? How much total depreciation and amortization expense did Patnode record during 2015? a. $10,000 b. $6,000 c. $3,000 d. $5,000 The quotient of 10 and a number $400,000 capital investment proposal has an estimated life of 4 years and no residual value. The estimated net cash flows are as follows: Year Net Cash Flow 1 $200,000 2 150,000 3 90,000 4 80,000 The minimum desired rate of return for net present value analysis is 12%. The present value of $1 at compound interest of 12% for 1, 2, 3, and 4 years is 0.893, 0.797, 0.712, and 0.636, respectively. Determine the net present value. Accuracy refers to A) a statement or idea that can be falsified B) how close repeated measurements of the same sample are to one another C) the process of applying a general statement to specific facts D) how close a measured value is to the actual value What type of graph is this?complete graphcycle graph FeCl2(aq) + Na2CO3(aq) FeCO3(s) + 2NaCl(aq) What are the spectator ions in this equation? Select the salts that will undergo hydrolysis. a. KF b. NaNO3 c. NH4NO2 d. MgSO4 e. KCN f. C6H5COONa g. RbI h. Na2CO3 i. CaCl2 j. HCOOK Unpolarized light with intensity 370W/m2 passes first through a polarizing filter with its axis vertical, then through a second polarizing filter. It emerges from the second filter with intensity 121W/m2 . What is the angle from vertical of the axis of the second polarizing filter? Express your answer to two significant figures and include the appropriate units Is this True??? "BC" In history means "Before Christ" HTML coding ......plz help g. How does the equation for valuing a bond change if semiannual payments are made? Find the value of a 10-year, semiannual payment, 10% coupon bond if the nominal rd 13%. Ehrhardt, Michael C.. Corporate Finance: A Focused Approach (p. 236). Cengage Learning. Kindle Edition. 2x - 1/y=W + 2/2zfor w. Which of the following statements about the nucleus is false? A. Able to be lost or gained in chemical reactions. B. Made up of protons an neutrons. C. None of these D. Contains nearly all of the mass of the atom. Question 5 Multiple Choice Worth 4 points)(08.07 MC)Jake's tower bed has a length of 10 feet and a width of 19 feet. Which of the following is true?The area of the flower bed is equal to 10 square feetThe area of the flower bed is larger than 10 square feetThe area of the flower bed is equal to 8 square feet.The area of the flower bed is smaller than 8 square feet ANSWER FAST FOR BRAINLY CROWN!!!! Match the following dates with their events. 1. 1513 Florida was admitted into the Union. 2. 1539 Hernando de Soto arrived in Florida. 3. 1565 Ponce de Leon landed in Florida. 4. 1763 Pedro Menndez de Avils settles San Augustn. 5. 1845 Britain received Florida from Spain. A square field has an area of 12,100sqm. Find theperimeter of the field.a. 110mb. 220mC. 330md. 440mPls show working Write the slope-intercept form of the vertical line containing (-2,2), if possible Cobe Company has already manufactured 17,000 units of Product A at a cost of $20 per unit. The 17,000 units can be sold at this stage for $490,000. Alternatively, the units can be further processed at a $300,000 total additional cost and be converted into 5,400 units of Product B and 11,400 units of Product C. Per unit selling price for Product B is $104 and for Product C is $56.Prepare an analysis that shows whether the 17,000 units of Product A should be processed further or not. Sell as isProcessFurtherSalesRelevant costs:Total relevant costsIncome (loss)Incremental net income (or loss) if processed furtherThe company should Ali decides to attend the one-hour review session for microeconomics instead of working at his job. His job pays him $10 per hour. Ali's opportunity cost of attending the review session is:_______a. the $10 he could have earned at his job. b. the one-hour review session c. equal to the benefit he gets from the review session. d. the value of the session minus the $10 he could have earned at his jobe. nothing, because the review session does not cost anything.