Question 1 of 10
2 Points
What is the SI unit for gravitational potential energy?
A. Newton
B. Joule
C. Meter
D. Watt

Answers

Answer 1

Answer:

Joule

Explanation:

As any unit of energy (kinetic, potential, etc.), the gravitational potential energy has SI units of Joule. This s the work done by a force of 1 Newton to displace an object 1 meter in the direction of application of the force.


Related Questions

how does an electric iron work when the power is on​

Answers

Answer:

The basic principle on which the electric iron works is that when a current is passed through a piece of wire, the wire heats up. This heat is distributed to the sole (base) plate of the electric iron through conduction.

0.0000302 in scientific notation

Answers

The answer is 3.02 x 10^-5

Answer:

3.02x10^-5

Explanation:

A scientific notation consists of

c x 10^n

the c must be a number between 1-9, while n must be an integer.

it indicates the c being multiplied by the nth power of 10.

From 0.0000302, we need to move the decimal to after 3 so that 3.02 can be a number between 1-9. When moving the decimal point to the right side, each digit moved counts as -1 power of 10.

So, to give 3.02, we need to move the decimal by 5 digits. hence, we can conclude n = -5.

0.0000302 = 3.02x10^-5

A 28-turn circular coil of radius 4.40 cm and resistance 1.00 Ω is placed in a magnetic field directed perpendicular to the plane of the coil. The magnitude of the magnetic field varies in time according to the expression B = 0.010 0t + 0.040 0t2, where B is in teslas and t is in seconds. Calculate the induced emf in the coil at t = 4.20 s.

Answers

Answer:

ε = -0.0589V = -58.9mV

Explanation:

In order to calculate the induced emf in the coil, you use the following formula:

[tex]\epsilon=-N\frac{d\Phi_B}{dt}=-N\frac{d(SBcos\alpha)}{dt}[/tex]         (1)

ε: induced emf = ?

N: turns of the coil = 28

ФB: magnetic flux trough the coil

S: cross sectional area of the circular coil = π.r^2

r: radius of the cross sectional area of the coil = 4.40cm = 0.044m

B: magnetic field

α: angle between the direction of the magnetic field and the direction of the normal to the cross area of the coil = 0°

You take into account that the area is constant respect to the magnetic field that cross it. Only the magnetic field is changing with time. The magnetic field depends on time as follow:

[tex]B(t)=0.010t+0.040t^2[/tex]           (2)

You replace the expression (2) into the equation (1), evaluate the derivative, and replace the values of the other parameters for t =4.20s:

[tex]\epsilon=-NS\frac{dB}{dt}=-NS\frac{d}{dt}[0.010t+0.040t^2]\\\\\epsilon(t)=-NS(0.010+0.080t)\\\\\epsilon(t)=-(28)(\pi(0.044m)^2)(0.010T/s+0.080T/s^2(4.20s))\\\\\epsilon(t)=-0.0589V=-58.9mV[/tex]

The induced emf in the coil is -58.9mV

Dominic made the table below to organize his notes about mixtures.
Properties of Mixtures
has no set composition
must have more than one state of matter
must have more than one substance
What mistake did Dominic make?
The title should read "Properties of Solutions" because some mixtures do not have all of the properties listed.
There is a definite recipe to make each mixture, so the composition of a mixture is set.
Although it is possible to have more than one state, it is also possible to have only one state.
A single substance can be used to make a mixture if the substance is composed of more than one element.

Answers

Answer:

Althought it us possible to have more then one state, it's also possible to have only one state of matter

Explanation:

You can make solutions of only one state if matter, for example , it two liquids can be mixed to form a solution they are called miscible.

Answer:

The correct answer is C.) Although it is possible to have more than one state, it is also possible to have only one state.

Explanation:

I just did the test on edge and got it right

Convert Gravitational constant (G) = 6.67×10^-11 Nm²kg^-2 to cm³ g ^-1 s^-2.

Answers

Answer:

6.67×10⁻⁸ cm³/g/s²

Explanation:

6.67×10⁻¹¹ Nm²/kg²

= 6.67×10⁻¹¹ (kg m/s²) m²/kg²

= 6.67×10⁻¹¹ m³/kg/s²

= 6.67×10⁻¹¹ m³/kg/s² × (100 cm/m)³ × (1 kg / 1000 g)

= 6.67×10⁻⁸ cm³/g/s²

An electron moving with a velocity of 5 × 104 m s -1 enters into a uniform electric field and acquires a uniform acceleration of 104 m s -2 in the direction of its initial motion. (i) Calculate the time in which the electron would acquire a velocity double of its initial velocity. (ii) How much distance the electron would cover in this tim

Answers

Answer:

(i)    t = 5s

(ii)    x = 3.75*10^5 m

Explanation:

(i) To calculate the time that the electron takes to reach twice the value of its initial velocity, you use the following formula:

[tex]v=v_o+at[/tex]         (1)

vo: initial velocity of the electron = 5*10^4 m/s

v: final velocity of the electron = 2vo = 1*10^5 m/s

a: acceleration of the electron = 1*10^4 m/s^2

You solve the equation (1) for t, and replace the values of the parameters:

[tex]t=\frac{v-v_o}{a}=\frac{1*10^5m/s-5*10^4m/s}{1*10^4m/s^2}=5s[/tex]

The electron takes 5s to reach twice its initial velocity.

(ii) The distance traveled by the electron in such a time is:

[tex]x=v_ot+\frac{1}{2}at^2[/tex]          (2)

you replace the values of the parameters in the equation (2):

[tex]x=(5*10^4m/s)(5s)+\frac{1}{2}(1*10^4m/s^2)(5s)^2\\\\x=3.75*10^5m[/tex]

The distance traveled by the electron is 3.75*10^3m/s

As a motorcycle takes a sharp turn, the type of motion that occurs is called _______________ motion.

Answers

Answer:

circular motion

Explanation:

As a motorcycle takes a sharp turn, the type of motion that occurs is called circular motion.

Circular motion is a movement of an object along a circular path. As this motorcycle makes the sharp turn, it is acted upon by a centripetal force which directs the motorcycle towards the center.

Therefore, circular motion is the correct answer to the question.

Answer:

Circular Motion

A gas is held at atmospheric pressure, approximately 100kPa, and room temperature, 298K,
in a container closed with a piston. The piston is initially in a fixed position so the container has a volume of 2.0dm3.
The gas is heated to a temperature of 100∘C
What is the pressure in the container?

Answers

Answer:

125 KPa

Explanation:

Data obtained from the question include:

Initial pressure (P1) = 100 KPa

Initial temperature (T1) = 298 K

Final temperature (T2) = 100°C = 100°C + 273 = 373 K

Final pressure (P2) =..?

Since the volume of the container is fixed, the final pressure in the container can be obtained as follow:

P1/T1 = P2/T2

100/298 = P2/373

Cross multiply

298 x P2 = 100 x 373

Divide both side by 298

P2 = (100 x 373) / 298

P2 = 125.2 ≈ 125 KPa

Therefore, the final pressure in the container is approximately 125 KPa.

A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth. Determine the speed of the satellite.

Answers

Answer:

Speed of the satellite V = 6.991 × 10³ m/s

Explanation:

Given:

Force F = 3,000N

Mass of  satellite m = 500 kg

Mass of earth M = 5.97 × 10²⁴

Gravitational force G = 6.67 × 10⁻¹¹

Find:

Speed of the satellite.

Computation:

Radius r = √[GMm / F]

Radius r = √[(6.67 × 10⁻¹¹ )(5.97 × 10²⁴)(500) / (3,000)

Radius r = 8.146 × 10⁶ m

Speed of the satellite V = √rF / m

Speed of the satellite V = √(8.146 × 10⁶)(3,000) / 500

Speed of the satellite V = 6.991 × 10³ m/s

which glass is used in astrology?​

Answers

Answer:

The answer is either looking glass or stained glass.

Explanation:

The popular glass used in astrology is stained glass which is popular in symbolization of huge astrology figures. As for looking glass, it's more popular in astrological souvenirs or objects.

Answer:

i think answer is pisces horoscope

differences between concave and convex meniscus​

Answers

Explanation:

A concave meniscus,(normally seen) occurs when the molecules of the liquid are attracted to those of the container. This occurs with water and a glass tube. A convex meniscus occurs when the molecules have a stronger attraction to each other than to the container, as with mercury and glass.

Answer:

there are differences between concave and convex menuscus

Explanation:

A concave meniscus, which is what you normally will see, occurs when the molecules of the liquid are attracted to those of the container. This occurs with water and a glass tube. A convex meniscus occurs when the molecules have a stronger attraction to each other than to the container, as with mercury and glass.

A water pipe tapers down from an initial radius of R1 = 0.2 m to a final radius of R2 = 0.09 m. The water flows at a velocity v1 = 0.87 m/s in the larger section of pipe. What is the volume flow rate of the water?

Answers

Answer:

0.109  m/s

Explanation:

The calculation of the volume flow rate of the water is shown below:-

Av = Velocity ([tex]\pi[/tex])(Radius)^2

= 0.87([tex]\pi[/tex])(0.2)^2

= 0.135258 m^3 / sec

= 0.109371429 m/s

or

= 0.109

So, for calculating the volume flow rate of the water we simply applied the above formula i.e by multiplying the velocity with pi and squaring of radius so that the volume could come

A cars start from rest . after 10 seconds its acceleration become 2 meter per second find its final velocity​

Answers

Answer:

[tex] \boxed{\sf Final \ velocity = 20 \ m/s} [/tex]

Given:

Initial velocity (u) = 0 m/s

Acceleration (a) = 2 m/s²

Time taken (t) = 10 seconds

To Find:

Final velocity (v)

Explanation:

[tex]\sf From \ equation \ of \ motion: \\ \sf v = u + at \\ \\ \sf v = 0 + 2(10) \\ \\ \sf v = 2 \times 10 \\ \\ \sf v = 20 \ m/s[/tex]

A 22.8 kg rocking chair begins to slide across the carpet when the push reaches 57.0 N. What is the coefficient of static friction?​

Answers

Answer:

0.255

Explanation:

The following data were obtained from the question:

Force (F) = 57 N

Mass (m) = 22.8 Kg

Coefficient of static friction (µ) =...?

Next, we shall determine the normal reaction (R). This is illustrated below:

Mass (m) = 22.8 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Normal reaction (R) =?

R = mg

R = 22.8 x 9.8

R = 223.44 N

Finally, we can obtain the coefficient of static friction (µ) as follow:

Force (F) = 57 N

Normal reaction (R) = 223.44 N

Coefficient of static friction (µ) =...?

F = µR

57 = µ x 223.44

Divide both side by 223.44

µ = 57/223.44

µ = 0.255

Therefore, the coefficient of static friction (µ) is 0.255.

Answer:

.255

Explanation:

I'm also on acellus and it's the right answer

the value of MA in the third class lever is alaways less than one,why

Answers

Answer:

It is always less than 1 because the load arm is always longer than effort arm.

Explanation:

In the formula, MA= effort divided by load which makes it less than 1.

This helps by reducing the applied force(effort). It is a speed multiplier.

 Hope it helps.

An apple falls out of a tree from a height of 2.3 m What is the impact speed of the apple?

Answers

Answer:

6.72 m/s

Explanation:

recall that the equations of motion may be expressed as

v² = u² + 2as

where,

v = final velocity,

u = initial velocity = 0 m/s because it is stationary before it starts falling

a = acceleration (in this case because it is falling, it is the acceleration due to gravity = 9.81 m/s²)

s = distance traveled = 2.3m

in our case, if we neglect air resistance, then we simply substitute the known values above into the equation of motion.

v² = u² + 2as

v² = 0² + 2(9.81)(2.3)

v² = 45.126

v = √45.126

v = 6.72 m/s

shes right it is 6.71 m/s

A machine is 40 % efficient. The total energy supplied to the machine is 4 kJ. Calculate how much useful energy can be transferred.

Answers

Answer:

1.6 kJ

Explanation:

0.40 (4 kJ) = 1.6 kJ

1-D Kinematics
A car starts at a position of -153 m
and undergoes a displacement of
512 m. What is its final position?
(Unit = m)​

Answers

Answer:

hope it helps you...........

a force of 50 n acts on abody of mass 5 kg .calculate the acceleration produced​

Answers

Answer:

a = 10 m/s²

Explanation:

Given:

Force = F = 50 N

Mass = m = 5 kg

Required:

Acceleration = a = ?

Formula:

F = ma

Solution:

Rearranging the formula for a

=> a = F/m

=> a = 50/5

=> a = 10 m/s²

Find vertical and horizontal displacement. Please help. 10 points. Thank you.

Answers

Explanation:

horizontal velocity = 30 x Cos45 = 19.48m/s

to find horizontal displacement

horizontal displacement = horizontal velocity x timehorizontal displacement = 19.48 x 2 = 38.96m

vertical velocity = 30 x Cos45 = 22.81m/s

vertical displacement = vertical velocity x time

vertical displacement = 22.81 x 2 = 45.62m

Answer:

Displacement after two seconds

= <Dx,Dy> = <42.426, 1.593> m to three decimal places

Explanation:

Given:

arrow shot at 30m/s and 45 degrees with horizontal.

Hit bull's eye after 2 seconds.

Find horizontal and vertical displacements.

Vx = 30cos(30) m/seconds  constant  velocity

therefore

Dx = Vx*t = 30cos(30) m/s *  2 s = 60 cos (45) = 42.426 m

Vy = 30 sin(45) m/s  

Dy = Vy*t + a(t^2) /2  

= 30*sin(45) -9.81(2^2)/2        (g is accelerating downwards, so negative)

= 1.593 m

The net displacement after 2 seconds is

D = <Dx,Dy> = <42.426, 1.593> m to three decimal places

Why is it advisable not to look directly at the Sun? Please Give scientific reason for your answer

Answers

This sunlight can flood your retinas, overstimulating the rods and cones that sense light and causing them to release chemicals that can damage the retinas. This condition is known as solar retinopathy, and it can cause permanent eye damage.

Answer:

your eyes would get seriously damaged

Explanation:

when you look directly at the sun, the sun shines it's rays directly to your eyes , which damage them. that's why you should always wear sunglasses in that type of weather, and never point directly at the sun. if you find this answer helpful, mark it as brainliest.

a student pushed a 100 N bicycle over a distance of 15 m in 5 s. calculate the power generated.

Answers

The catch in this one is:  We don't know how much force the student used to push the bike.  

It wasn't necessarily the 100N.  That's just the weight of the bike. But you know that you can push a car, a wagon, or a bicycle hard, you can push it not so hard, you can give it a little push, you can give it a big push, you can push it strong, you can push it weak, you can push it medium.  The harder you push, the more it'll accelerate, but it's completely up to you how hard you want to push.  That's what's so great about wheels !  That's why they were such a great invention ! This is where I made my biggest mistake. This guy came into my store one day and said he's got this great invention, it's definitely going to take off, it'll be a winner for sure, he called it a "wheel".  I looked at it, I turned it over and I looked on all sides. I thought it was too simple.  I didn't know then it was elegant. I threw him out.  I was so dumb.  I could have invested money in that guy, today I would have probably more than a hundred dollars.

Anyway, can we figure out how much force the student used to push with ?  Stay tuned:

-- The bike covered 15 meters in 5 seconds.  Its average speed during the whole push was (15m/5s) = 3 meters/sec.

-- If the bike started out with no speed, and its average speed was 3 m/s, then it must have been moving at 6 m/s at the end of the push.

-- If its speed increased from zero to 6 m/s in 5 seconds, then its acceleration was (6m/s / 5 sec) = 1.2 m/s²

-- The bike's weight is 100N.  

(mass) x (gravity) = 100N

Bikemass = (100N) / (9.8 m/s²)

Bikemass = 10.2 kilograms

-- F = m A

Force = (mass) x (acceleration)

Force = (10.2 kg) x (1.2 m/s²)

Force = 12.24 N

-- Work = (force) x (distance)

Work = (12.24 N) x (15 m)

Work = 183.67 Joules

-- Power = (work done) / (time to do the work)

Power = (183.67 joules) / (5 seconds)

Power = 36.73 watts

Which of the following statements are true (mark all that apply) primordial nucleosynthesis produced all of the elements heavier than helium chemical composition of our solar system matches the chemical composition of the Milky Way some of the stars in the Milky Way may be older than the Milky Way your body contains a lot of helium nearly all atoms of elements heavier then helium were produced through nuclear fusion in stellar interiors and through reactions that occur during explosions that massive stars undergo at the ends of their lives or during mergers of stellar remnants called neutron stars some of the oldest galaxies are about 13.2 billion years old nucleosynthesis is a process through which the atoms of various elements are produced you're mainly made of hydrogen

Answers

Answer:

The correct options are;

1) The chemical composition of our solar system matches the chemical composition of the Milky Way

2) Nearly all atoms of elements heavier than helium were produced through nuclear fusion in stellar interiors and through reactions that occur during explosions that massive stars undergo at the ends of their lives or during mergers of stellar remnants called neutron stars

3) Some of the oldest galaxies are about 13.2 billion years old

4) Nucleosynthesis is a process through which the atoms of various elements are produced

5) You re mainly made of hydrogen

 

Explanation:

1) There are dependencies between chemical composition of stars and planets and the same distribution of chemicals we have in our Solar system have been observed to be present in varying resemblance through out the Milky Way

2) The formation of heavier elements are believed to have been formed by astrophysical fusion processes

3) The oldest known object (and hence the galaxy where the star resides), is from a distant star known as GRB 090423 which is about 13 billion years old

4) New atomic nuclear are created by the process of protons and neutrons by the process of nucleosynthesis

5) 62%of the atoms in the body are hydrogen atoms.

how does gravitational pull affect planets with the same mass but different distance from the sun?

Answers

Answer:

it just pulls them at the same time

Explanation:

what are laws of newton

Answers

Answer:

In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction

Explanation:

Answer:

Newton's Law of Motion

1- Every object persists in its state of rest or uniform motion -­ in a straight line unless it is compelled to change that state by forces impressed on it.

2- Force is equal to the change in momentum per change in time. For a constant mass, force equals mass times acceleration.

3- For every action, there is an equal and opposite reaction.

During the warm-up and your scheduled physical activity, what was the weather like? Did the
temperature or conditions affect how much water you drank? How?

Answers

yes, if weather was hot you need more fluids in your body due to the sweat pores needing to cool you down.

Answer: I did these exercises outdoors. The weather was hot and humid, so I drank about two cups of water during the workout. I also drank a cup of water about an hour before I started. Yes, the weather most definitely affected how much I drank.

Explanation: Edmentum

Un automovil circula a 126km/h por una autopista. Su conductor observa que a 150 m delante de el, se encuentra un árbol caído que ocupa toda la calzada. Inmediatamente presiona los frenos con una aceleración de -3,5 m/s². Determinar si logra evitar el choque.

Answers

Answer:

El conductor no puede evitar el choque.

Explanation:

Primero, convierta la velocidad del conductor a m / s:

1 km/h = 0.277778 m/s

126 km/h = 126 * 0.277778 = 35 m/s

La velocidad del automóvil es de 35 m / s.

El conductor presiona los frenos con una aceleración de -3.5 m / s² para evitar un choque a 150 m por delante.

Veamos qué distancia se moverá el automóvil después de que comience a desacelerar.

Utilizaremos una de las ecuaciones de movimiento lineal de Newton:

[tex]v^2 = u^2 + 2as[/tex]

donde v = velocidad final = 0 m / s (el automóvil debe detenerse)

u = velocidad inicial = 35 m / s

a = aceleración = -3.5 m / s².

s = distancia recorrida

Por lo tanto:

[tex]0 = 35^2 + (2 * -3.5 * s)\\\\=> 1225 = 7.0s\\\\s = 1225 / 7 = 175 m[/tex]

Esto significa que el automóvil se detendrá a 175 m.

Por lo tanto, a esa velocidad y aceleración, el conductor chocará contra el árbol caído porque el automóvil no podrá detenerse antes de alcanzar la posición del árbol.

If I were to fill a water bottle full of air and go up in elevation, would the water bottle expand or shrink? If I were to fill a water bottle full of air and go down in elevation, would the water bottle expand or shrink? I am at elevation 20000 I think.

Answers

Answer:

a. It would shrink

b. It would expand

Explanation:

a. Since the water bottle is filled with air at atmospheric pressure at 20000 ft, and since atmospheric pressure decreases with altitude, when we go up in elevation.

The pressure exerted by the molecules of air in the water bottle seek to balance out the atmospheric pressure as we go higher. Since the atmospheric pressure exerted by the molecules of air in the atmosphere are greater than that exerted by the molecules of air in the water bottle, this causes the volume of the water bottle to decrease and thus shrinks the water bottle until the pressure balances out

b. Since the water bottle is filled with air at atmospheric pressure at 20000 ft, and since atmospheric pressure increases with decreasing altitude, when we go down in elevation.

The pressure exerted by the molecules of air in the water bottle seek to balance out the atmospheric pressure as we go lower. The water bottle expands until the atmospheric pressure outside equals the pressure inside the water bottle.this causes the volume of the water bottle to increase and thus expands the water bottle until the pressure balances out

I NEEED HELP!!!!! Upon using Thomas Young’s double-slit experiment to obtain measurements, the following data were obtained. Use these data to determine the wavelength of light being used to create the interference pattern.
Do this using three different methods.
The angle to the eighth maximum is 1.12°.
The distance from the slits to the screen is 302.0 cm.
The distance from the central maximum to the fifth minimum is 3.33cm.
The distance between the slits is 0.000250 m

Answers

Answer:

The wavelength is approximately 611 nm

Explanation:

We can use the formula for the condition of maximum of interference given by:

[tex]d\,sin(\theta)=m\,\lambda\\(0.000250\,\,m)\,\,sin(1.12^o)=8\,\lambda\\\lambda=\frac{1}{8} \,(0.000250\,\,m)\,\,sin(1.12^o)\\\lambda \approx 610.8\,\,nm[/tex]

We can also use the formula for the distance from the central maximum to the 5th minimum by first finding the tangent of the angle to that fifth minimum:

[tex]tan(\theta)=\frac{y}{D}\\ tan(\theta)=\frac{0.0333}{3.02} =0.011026[/tex]

and now using it in the general formula for minimum:

[tex]d\,sin(\theta)\approx d\,tan(\theta)=(m-\frac{1}{2} )\,\lambda\\\lambda\approx 0.00025\,(0.011026)/(4.5)\,\,m\\\lambda\approx 612.55\,\,nm[/tex]

Answer:

The correct answer is  [tex]6.1\times10^{-7}\:m[/tex]

Explanation:

The distance from the central maxima to 5th minimum is:

[tex]x_{5n}-x_{0} =3.33\:cm=0.033\:m[/tex]

The distance between the slits and the screen:

[tex]L = 302\:cm = 3.02\:m[/tex]

Distance between 2 slits: [tex]d = 0.00025\:m[/tex]

[tex](n-\frac{1}{2})\lambda=\frac{d(x_n)}{L}[/tex]

For fifth minima, n = 5... so we have:

[tex]x_{5n}=\frac{9\lambda L}{2d}[/tex]

For central maxima, n = 0... so we have:

[tex]x_{0}=\frac{n\lambda L}{d}=0[/tex]

So the distance from central maxima to 5th minimum is:

[tex]\frac{9\lambda \:L}{2d}-0=0.033[/tex]   (Putting the values, we get):

[tex]\Rightarrow \lambda = 6.1\times 10^{-7}\:m[/tex]

Best Regards!

A drop
of
oil volume 10 m
Spreads out on water to make a
Circular fils of diameter 10
What is that thickness?​

Answers

Answer:

[tex]27.5\ m[/tex]

Explanation:

As we know that volume of cylinder is

[tex]v=\pi r^{2} *h[/tex]

Where v=volume , h= height or thickness and r= radius

Here,

[tex]v= 10 m ,\ diameter= 10, \ r=\frac{diameter}{2} \ r=\frac{10}{2}\\ r=5[/tex]

Putting these values in the previous equation , we get

[tex]10\ = \frac{22}{7} *5 *5*h\\ 14\ =\ 110*h\\h=\frac{110}{14} \\h=\frac{55}{2} \\\\h=27.5\ m[/tex]

Therefore thickness is 27.5 m

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Humans breathe in oxygen and release ____ gas. When all firms earn zero economic profits producing the output level where P=MR=MC and P=AC and there is no incentive to leave or join the market, the market is in __________. Simplify 18. Help!!! I am on a test on ingenuity. 23 29 32 92 On January 1, 2018,MechanicsCredit Union (MCU)issued 8 %,20-yearbonds payable with face value of $ 200 comma 000.These bonds pay interest on June 30 and December 31. The issue price of the bonds is 106.Journalize the following bond transactions:A. Issuance of the bonds on January 1, 2018. B. Payment of interest and amortization on June 30, 2018. C. Payment of interest and amortization on December 31, 2018. D. Retirement of the bond at maturity on December 31, 2037, assuming the last interest payment has already been recorded. (80 pts, pls help!) Using the following sample space: {(G,G), (B,G), (B,G), (B,B)} define the random variable for picking an outcome of green. Use the following information to determine this company's cash flows from financing activities.A. Net income was $473,000. B. Issued common stock for $74,000 cash. C. Paid cash dividend of $13,000. D. Paid $125,000 cash to settle a note payable at its $125,000 maturity value. E. Paid $119,000 cash to acquire its treasury stock. F. Purchased equipment for $86,000 cash.Use the above information to determine this company's cash flows from financing activities. Promoters of an LLC are Select one: a. are never personally liable on pre-formation debt. b. always liable on pre-formation debt. c. only liable on pre-formation debt until a novation occurs. A half marathon is 13.1 miles long. Leah is running a half marathon and has completed 7.75 miles. How many miles tothe finish line? Suppose you roll a number cube. What is the theoretical probability of rolling a 5? A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Three hundred feet of fencing is useddimensions of the playground that maximize the total enclosed area. What is the maximum area?The smaller dimension isfeet Match the definition to the appropriate term: A line in which two plates move in opposite directions from one another. Answer 1 Choose... A line in which one oceanic plate subducts underneath another oceanic plate. Answer 2 Choose... A line in which two plates slide horizontally past each other. Answer 3 Choose... A line in which an an oceanic plate subducts underneath a continental plate. Answer 4 Choose... A line at which a continental collision occurs. Question 3(Multiple Choice Worth 1 points)(06.02 LC)A scatter plot is shown below:Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 10 at increments of 1 on the y axis. Scatter plot shows ordered pairs 1, 9.1 and 2, 8 and 3, 7.6 and 4, 6.1 and 5, 5 and 6, 4 and 7,4 and 8, 3 and 9, 2.5 and 10, 1.Which two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot? (4.5, 10) and (10, 6.5) (0, 9.8) and (10, 1.2) (0, 4) and (5, 0) (0, 6) and (7, 0) Three congruent isosceles triangles $DAO$, $AOB$ and $OBC$ have $AD=AO=OB=BC=10$ and $AB=DO=OC=12$. These triangles are arranged to form trapezoid $ABCD$, as shown. Point $P$ is on side $AB$ so that $OP$ is perpendicular to $AB$.Point $X$ is the midpoint of $AD$ and point $Y$ is the midpoint of $BC$. When $X$ and $Y$ are joined, the trapezoid is divided into two smaller trapezoids. The ratio of the area of trapezoid $ABYX$ to the area of trapezoid $XYCD$ in simplified form is $p:q$. Find $p+q$. sketch the graph for the following quadratic function.[tex] - x ^{2} + 4x + 12[/tex]it's ok if it's wrong.i just wanna see how the work done to do this Which points lie on more than one plane?O A andsX and YO MandsM and R A 1.00 liter solution contains 0.31 M sodium acetate and 0.40 M acetic acid. If 0.100 moles of barium hydroxide are added to this system, indicate whether the following statements are TRUE or FALSE . (Assume that the volume does not change upon the addition of barium hydroxide.)a. The number of moles of CH3COOH will remain the same.b. The number of moles of CH3COO- will increase.c. The equilibrium concentration of H3O+ will decrease.d. The pH will decrease.e. The ratio of [CH3COOH] / [CH3COO-] will remain the same. The sum of all the interior angles in a triangle is blank degrees. Ash trees are being removed when they show signs of the ash borer, a parasite that affects only ash trees and kills them off. What best explains why the ash trees are being cut down? The ash borer is a density-independent limiting factor, and humans need to clear cut to control tree density. The ash borer is a density-dependent limiting factor and will start to spread to nearby healthy trees. Ash trees are outcompeting other trees and are thus more affected by the ash borer. Changes in climate have decreased ash borer populations which indirectly increased the need for cutting down the trees. Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).0 4x - y = -6O x + 4y = 7Ox - 4y = -9O 4x + y = 2 Whats are the answers for both?