A ball is thrown straight up from ground level. It passes a 2-m-high window. The bottom of the window is 7.5 m off the ground. The time that elapses from when the ball passes the bottom of the window on the way up, to when it passes the top of the window on the way back down is 1.3 s.
What was the ball’s initial speed, in meters per second?

Answers

Answer 1

Answer:

[tex]u=14.48m/s[/tex]

Explanation:

From the question we are told that:

Height of window [tex]h=2m[/tex]

Height of window off the ground [tex]h_g=7.5m[/tex]

Time to fall and drop [tex]t=1.3s[/tex]

 

Generally the Newton's equation motion  is mathematically given by

 [tex]s=ut+\frac{1}{2}at^2[/tex]

Where

[tex]h=ut+\frac{1}{2}at^2[/tex]

[tex]2=u1.3-\frac{1}{2}*9.8*1.3^2[/tex]

[tex]2=u1.3-8.281[/tex]

[tex]u=7.91m/s^2[/tex]  

Generally the Newton's equation motion  is mathematically given by

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

Where

[tex]-2gh_g=v^2-u^2[/tex]

[tex]-2*9.8*7.5=(7.91)^2-u^2[/tex]

[tex]-147=62.5681-u^2[/tex]

[tex]u=\sqrt{209.5681}[/tex]

[tex]u=14.48m/s[/tex]

Therefore the  ball’s initial speed

[tex]u=14.48m/s[/tex]


Related Questions

Question 5 of 10
The graph below shows the downloads of two songs over time.
70
Song 1
60
50
40
Number of downloads
(spopunu)
Song 2
30
20
10
O
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Time (minutes)
Which term describes the slope of the graph of song 2 between minute 6 and
minute 7?
A. Positive
B. Zero
C. It is impossible to calculate
D. Negative
SUBMIT

Answers

Answer:

b

Explanation:

Pause
He
When an unbalanced force of 10 N is applied to an object whose mass is 4.0 kg, the acceleration of the object will be:
OA. 40 m/s
OB. 9.8 m/s2
OC 2.5 m/s2
OD. 0.40 m/s2

Answers

Answer:

C

Explanation:

a=f/m

10Kgm/s2/4kg

2.5m/s2

When an unbalanced force of 10 N is applied to an object whose mass is 4.0 kg, the acceleration of the object will be 2.5 m/s².

What is acceleration?

The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration. The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.

Given in the question, force 10 N and mass 4.0 Kg the acceleration is,

a = 10/4 = 2.5 m/sec²

When an unbalanced force of 10 N is applied to an object whose mass is 4.0 kg, the acceleration of the object will be 2.5 m/s².

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What type of force is F-?

Answers

Answer:

Frictional Force

Explanation:

i think so

the answer is F- is fractional force

A compact disc (CD) is played by a cd player, which uses a laser to read the tracks on the disc. The disc spins initially at approximately 200 rotations per minute (rpm), and increases to a maximum of approximately 500 rpm as the laser spirals inward towards the center of the disc. This ensures that the laser covers equal distance in an equal amount of time during playback. During the time that the cd is played, which of the following statements is true?

a. The laser tracking mechanism experiences a changing tangential velocity
b. The laser tracking mechanism experiences a constant angular velocity
c. The laser tracking mechanism experiences a non-zero angular acceleration
d. The laser tracking mechanism experiences a non-zero tangential acceleration

Answers

Answer:

a. The laser tracking mechanism experiences a changing tangential velocity

c. The laser tracking mechanism experiences a non-zero angular acceleration

d. The laser tracking mechanism experiences a non-zero tangential acceleration

Explanation:

a. The laser tracking mechanism experiences a changing tangential velocity

This is because the tangential velocity v = rω where r = radius of disc and ω  = angular speed of discs. Since r is constant, v ∝ ω.

Since the angular speed changes from 200 rpm to 500 rpm, thus, the tangential velocity would also change.

So, the laser tracking mechanism experiences a changing tangential velocity

c. The laser tracking mechanism experiences a non-zero angular acceleration

Since angular acceleration, α = Δω/Δt where Δω = change in angular speed and Δt = change in time.

Since there is a change in angular speed from 200 rpm to 500 rpm in time Δt, there is thus a non-zero angular acceleration.

So, The laser tracking mechanism experiences a non-zero angular acceleration

d. The laser tracking mechanism experiences a non-zero tangential acceleration

Since tangential acceleration, a = rα where r = radius of disc and α = angular acceleration.

Since there is an angular acceleration of the disc, there is thus going to be a tangential acceleration given by a = rα.

So, the laser tracking mechanism experiences a non-zero tangential acceleration

Statement b is false because, the disc experiences a changing angular speed from 200 rpm to 500 rpm.

A cold block of metal feels colder than a block of wood at the same temperature. Why? A hot block of metal feels hotter than a block of wood at the same temperature. Again, why? Is there any temperature at which the two blocks feel equally hot or cold? What temperature is this?

Answers

: In general, metals feel colder or hotter to the touch than other materials at the same temperature because they're good thermal conductors. This means they easily transfer heat to colder objects or absorb heat from warmer objects

It is because the metal conducted heat faster than it feels colder than the wood, which conducted heat slower. Even tho they are similar temperatures. The metal will feel colder than the wood because of the thermal conductivity of the metal, compared to the wood.  

Two loudspeakers S1 and S2, 2.20 m apart, emit the same single-frequency tone in phase at the speakers. A listener L is located directly in front of speaker S1, in other words, the lines LS1 and S1S2 are perpendicular. L notices that the intensity is at a minimum when L is 5.50 m from speaker S1. What is the lowest possible frequency of the emitted tone

Answers

Answer:

the lowest possible frequency of the emitted tone is 404.79 Hz

Explanation:

   Given the data in the question;

S₁ ←  5.50 m → L

2.20 m

S₂

We know that, the condition for destructive interference is;

Δr = ( 2m + [tex]\frac{1}{2}[/tex] ) × λ

where m = 0, 1, 2, 3 .......

Path difference between the two sound waves from the two speakers is;

Δr = √( 5.50² + 2.20² ) - 5.50

Δr = 5.92368 - 5.50

Δr = 0.42368 m

v = f × λ

f = ( 2m + [tex]\frac{1}{2}[/tex])v / Δr

m = 0, 1, 2, 3, ....

Now, for the lowest possible frequency, let m be 0

so

f = ( 0 + [tex]\frac{1}{2}[/tex])v / Δr

f = [tex]\frac{1}{2}[/tex](v) / Δr

we know that speed of sound in air v = 343 m/s

so we substitute

f = [tex]\frac{1}{2}[/tex](343) / 0.42368

f = 171.5 / 0.42368

f = 404.79 Hz

Therefore, the lowest possible frequency of the emitted tone is 404.79 Hz

define projectile in your own .​

Answers

Answer:

a body which was thrown in space ,moves under the influence of gravity only is defined as projectile.

Answer:

projectile is defined as a body thrown in space , moves under the influence of gravity .

hope it is you

Which of the following lists the elements in order, from those having the least protons to those having the most protons in the atoms?


A. O, N, B, Li

B. Na, S, Al, Cl

C. O, S, Se, Te

D. Rb, K, Na, Li

Answers

Answer:

C

Explanation:

O has 8   protones,S  tiene 16, Se 34 y Te 52.

the answer would be C o,s,se,te

Determine the direction of the force on a charge.

a. along the line between the charge and the center of the square outward of the center
b. along the side of the square outward of the other charge that lies on the side
c. along the line between the charge and the center of the square toward the center
d. along the side of the square toward the other charge that lies on the side

Answers

Answer:

hi your question is incomplete below is the complete question

A charge of 2.15 mC is placed at each corner of a square 0.500 m on a side. Determine the direction of the force on a charge.

answer : Along the line between the charge and the center of the square outward of the center ( A )

Explanation:

The direction of the force on a charge is along the line between the charge and the center of the square outward of the center

Given that; Fnet = 3.17 * 10^-1 N ( calculated value )

The nature of the Force is repulsive in nature

attached below is a Pictorial representation of the direction of the force on a charge

The coefficient of linear expansion of lead is 29 x 10 K What change in temperature will cause a 5-m long lead bar to change in length by 3.0 mm?

Answers

Answer:

These linear thermal expansion coefficients are room temperature values of metals. Linear thermal expansion coefficient is defined as material's fractional change in length divided by the change in temperature.

Explanation:

The change in temperature caused is 0.0000207 K.

To calculate the change in temperature we use the formula of linear expansivity below.

⇒ Formula:

∝ = ΔL/(LΔT).................. Equation 1

⇒ Where:

∝ = Coefficient of linear expansionΔL = Change in lengthL = Original lengthΔT = Change in Temperature.

⇒ Make ΔT the subject of the equation

ΔT = ΔL/(∝L)................ Equation 2

From the question,

⇒ Given:

∝ = 2.9×10 K⁻¹ΔL = 3 mm = 3×10⁻³ mL = 5 m

⇒ Substitute these values into equation 2

ΔT = (3×10⁻³)/(29×5)ΔT = 0.003/145ΔT = 0.0000207 K

Hence, the change in temperature caused is 0.0000207 K

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what is force,momentum,and velocity.​

Answers

Answer:

A force is a push or pull upon an object resulting from the object's interaction with another object.

Momentum is force or speed of movement.

Velocity defines the path of the motion of the frame or the object

A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0-s interval the angular velocity increases to 40 rad/s. Assume that the angular acceleration was constant during the 5.0-s interval. How many revolutions does the wheel turn through during the 5.0-s interval ( in revelations)? Hint: You need to use one of the equations of constant angular acceleration that independent of angular acceleration.

Answers

Answer:

The appropriate solution is "23.87 rev".

Explanation:

The given values are:

Initial angular velocity,

[tex]\omega_i=20 \ rad/s[/tex]

Final angular velocity,

[tex]\omega_f=40 \ rad/s[/tex]

Time taken,

[tex]t = 5.0 \ s[/tex]

If, α be the angular acceleration, then

⇒  [tex]\omega_f=\omega_i+\alpha t[/tex]

or,

⇒  [tex]\alpha t=\omega_f-\omega_i[/tex]

⇒  [tex]\alpha=\frac{\omega_f-\omega_i}{t}[/tex]

On substituting the values, we get

⇒     [tex]=\frac{40-20}{5.0}[/tex]

⇒     [tex]=\frac{20}{5.0}[/tex]

⇒     [tex]=4 \ rad/s^2[/tex]

If, ΔФ be the angular displacement, then

⇒  [tex]\Delta \theta=\omega_i t+\frac{1}{2} \alpha t^2[/tex]

On substituting the values, we get

⇒        [tex]=[(20\times 5.0)+(\frac{1}{2})\times 4\times (5.0)^2][/tex]

⇒        [tex]=100+50[/tex]

⇒        [tex]=150[/tex]

On converting it into "rev", we get

⇒  [tex]\Delta \theta=(\frac{150}{2 \pi} )[/tex]

⇒        [tex]=23.87 \ rev[/tex]

When played properly, this instrument makes sounds. The instrument makes sounds directly because of which action in the wire? I think its Vibration i dont know

Answers

Answer : Yes it’s vibration

Ways if improving soil fertility

Answers

Answer:

Soil fertility can be further improved by incorporating cover crops that add organic matter to the soil, which leads to improved soil structure and promotes a healthy, fertile soil; by using green manure or growing legumes to fix nitrogen from the air through the process of biological nitrogen fixation; by micro-dose ........

Answer:

Continuous cultivation of water intensive crops like sugarcane and rice has resulted in their water tables running low at 149 percent. Alternating crops with millet, which consumes less water and has a high nutritional value, can increase the soil fertility and balance nutrients present in it.Apr 19, 2019

Explanation:

pls mark me as a brainlist

hope my answer is helpful

A battery is connected to a light bulb in a circuit. There is a current of 2 A in the light bulb.
The voltage of the battery is 1.5 V. What is the resistance of the light bulb?
V
Use R = to solve this problem.

Answers

Answer:

Resistance of the light bulb = 1.33 ohm (Approx.)

Explanation:

Given:

Current in electric bulb = 2 Amp

Voltage in battery = 1.5 Volt

Find:

Resistance of the light bulb

Computation:

Resistance = Voltage / Current

Resistance of the light bulb = Voltage in battery / Current in electric bulb

Resistance of the light bulb = 2 / 1.5

Resistance of the light bulb = 1.33 ohm (Approx.)

How does the presence of a nucleus provide a method of basic cell classification?

Answers

Answer:D.

Explanation:

Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 167 cm , but its circumference is decreasing at a constant rate of 13.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.
(a) Find the emf induced in the loop at the instant when 9.0 s have passed.
(b) Find the direction of the induced current in the loop as viewed looking along the direction of the magnetic field.

Answers

Answer:

a)     fem = - 0.0103 V,  b) the applied field is in a vertical upward direction, the induced current is clockwise.

Explanation:

a) For this exercise we use Faraday's law

         fem =  [tex]- \frac{d \phi}{dty}[/tex]

   

the magnetic flux is

         Ф = B. A = B A cos θ

The bold letters indicate vectors, in this case the direction of the magnetic field and the normal to the circumference is parallel therefore the angle is zero and the cos 0 = 1

         fem = - B dA / dt

the area of ​​a circle is

        A = π r²

l

et's perform the derivative

         dA / dt =π 2r [tex]\frac{dr}{dt}[/tex]

we substitute

          fem = - B 2π r [tex]\frac{dr}{dt}[/tex]

the circumference of a circle is

         L = 2π r

we substitute

          fem = - B L  ( L  )

          fem =  

Let's find the circumference for the 9 s, let's use a direct rule of proportions

If the circumference changes 13cm at t = 1. how much does it change at t=9s

         ΔL = 13cm (9s / 1s) = 117cm

the circumference that is

        L = Lo - ΔL

        L = 167 - 117

        L = 50 cm

let's reduce all magnitudes to the SI system

         L = 0.50 m

          = 0.130 m / s

calculate us

         fem = - 1.00 0.50 0.130

         fem = - 0.0103 V

b) the electromotive force induced in the opposite direction to the change of the radius and is decreasing with time, the current follows the direction of the decreased voltage therefore the current is induced in the opposite direction to the change of the magnetic flux.

If the applied field is in a vertical upward direction, the induced current is clockwise.

How does the wave period relate to the frequency of a wave?

Answers

Answer:

its in the picture hope it helps make brainlliest ty

An ideal horizontal spring-mass system has a mass of 1.0 kg and a spring with constant 78 N/m. It oscillates with a period of 0.71 seconds. When this same spring-mass system oscillates vertically instead, the period is _______ seconds. Enter 2 significant figures (a total of three digits) and use g = 10.0 m/s2 if necessary.

Answers

Answer:

T = 0.71 seconds

Explanation:

Given data:

mass m = 1Kg, spring constant K = 78 N/m, time period of oscillation T = 0.71 seconds.

We have to calculate time period when this same spring-mass system oscillates vertically.

As we know

[tex]T = 2\pi \sqrt{\frac{m}{K} }[/tex]

This relation of time period is true under every orientation of the spring-mass system, whether horizontal, vertical, angled or inclined. Therefore, time period of the same spring-mass system oscillating  vertically too remains the same.

Therefore, T = 0.71 seconds

In a little league baseball game, the 145 grams ball enters the strike zone with a speed of 11.0 meters per second. The batter hits the ball and it leaves his bat with a speed of 25.0 meters per second in exactly the opposite direction. If the bat is in contact with the ball for 1.0 m/s, what is the magnitude of the average force exerted by the bat on the ball?​

Answers

Answer:

Force = 5.22 N

Explanation:

According to Newton's Second Law of motion:

[tex]Force = Rate\ of\ Change\ of\ Momentum\\\\Force = \frac{mv_f-mv_i}{t}\\[/tex]

where,

m = mass of ball = 145 g = 0.145 kg

vf = final speed of ball after hit = 25 m/s

vi = initial speed of ball before hit = -  11 m/s (negative sign due to opposite direction)

t = time of contact = 1 s

Therefore,

[tex]Force = \frac{(0.145\ kg)(25\ m/s)-(0.145\ kg)(-11\ m/s)}{1\ s} \\\\[/tex]

Force = 5.22 N

Active listening includes all of the following EXCEPT: A. paraphrasing B. clarifying C. ignoring D. empathizing Please select the best answer from the choices provided. A B C D

Answers

Answer:

C: Ignoring

Explanation:

On edge 2021

Answer:

It's C.

Explanation:

A lead fishing weight of a mass of 0.20 kg is tied to a fishing line that is 0.50 m long. The weight is then whirled in a vertical circle. The finishing line will break if its tension exceeds 100.0 N.

Required:
a. If the weight is whirled at higher and higher speeds, at what point in the vertical circle will the string break (top, bottom, or random position)?
b. At what speed will the string break?

Answers

Answer:

The solution of the given question is summarized in the below section.

Explanation:

The given values are:

Tension,

T = 100 N

mass,

m = 0.2 kg

length,

l = 0.5 m

Now,

(a)

Somewhere at bottom, string or thread breaks since string voltage seems to be the strongest around this stage.

then,

⇒  [tex]T-mg=\frac{mv^2}{l}[/tex]

or,

⇒  [tex]T=mg+\frac{mv^2}{l}[/tex]

(b)

As we know,

⇒  [tex]\frac{mv^2}{l}=T-mg[/tex]

or,

⇒  [tex]v^2=\frac{(T-mg)l}{m}[/tex]

On substituting the values, we get

⇒       [tex]=\frac{(100-0.2\times 10)0.5}{0.2}[/tex]

⇒       [tex]=\frac{49}{0.2}[/tex]

⇒    [tex]v =\sqrt{245}[/tex]

⇒       [tex]=15.65 \ m/s[/tex]

How much heat is needed to warm 365 mL of water in a baby bottle from 240C to 38C

Answers

Answer:98.6 degrees Fahrenheit

Explanation:

Which of the following statements is true concerning the induced current in a coil of wire for a magnet approaching or moving away from the coil?

a. The induced magnetic field repels an approaching magnet.
b. The induced magnetic field attracts a departing magnet.
c. The induced magnetic field always opposes the motion of the magnet.
d. All of the above statements are correct.

Answers

Answer:

c

Explanation:

it is c because I hade got it right

When antimatter interacts with an equal mass of ordinary matter, both matter and antimatter are converted completely into energy, in the form of photons. In an antimatter-fueled spaceship, a staple of science fiction, the newly created photons are shot from the back of the ship, propelling it forward. Suppose such a ship has a mass of 2.00×10^6kg, and carries a mass of fuel equal to 4% of its mass, or 4.00×10^4kg of matter and an equal mass of antimatter.

Required:
What is the final speed of the ship, assuming it starts from rest, if all energy released in the matter-antimatter annihilation is transformed into the kinetic energy of the ship?

Answers

Answer:

  v = 5.88 10⁷ m / s

Explanation:

For this exercise we use the relation

          E = m c²

also indicate that all energy is converted into kinetic energy

          E = K = ½ (M-2m) v²

where m is the mass of antimatter and M is the mass of the ship's mass. Factor two is due to the fact that equal amounts of matter and antimatter must be combined

we substitute  

         m c² = ½ (M-2m) v²

        v² = [tex]2 \frac{m}{M+2m} \ c^2[/tex]

         

let's calculate

        v = [tex]\sqrt{2 \ \frac{4 \ 10^4 }{2 \ 10^6 + 2 \ 4 \ 10^4} \ (3 \ 10^8)^2}[/tex]

         v = [tex]\sqrt{ 34.615 \ 10^{14}}[/tex]

        v = 5.88 10⁷ m / s

What makes a 10 year old girl perfect?

Answers

Answer:

kindness

Explanation:

500 J of work is used to decrease the angular velocity of a disk from 65 rad/s to 52 rad/s.What is the rotational inertia of the disk?

Answers

Answer:

The correct answer is "0.66 kg.m²".

Explanation:

The given values are:

K.E = 500 J

w₁ = 65 rad/s

w₂ = 52 rad/s

As we know,

⇒  [tex]K.E=\frac{1}{2}I[w_1^2-w_2^2][/tex]

then,

⇒  [tex]I=\frac{2(K.E)}{w_1^2-w_2^2}[/tex]

On putting the given values, we get

⇒     [tex]=\frac{2\times 500}{(65)^2-(52)^2}[/tex]

⇒     [tex]=\frac{1000}{4225-2704}[/tex]

⇒     [tex]=\frac{1000}{1521}[/tex]

⇒     [tex]=0.66 \ kg.m^2[/tex]

Particles q1, 92, and q3 are in a straight line.
Particles q1 = -1.60 x 10-19 C, 92 = +1.60 x 10-19 C,
and q3 = -1.60 x 10-19 C. Particles qi and q2 are
separated by 0.001 m. Particles q2 and q3 are
separated by 0.001 m. What is the net force on q2?

Answers

Answer: 0

Explanation: Acellus

The charge q2 is kept in between the  charges q1 and q3. The net force on charge q2 is zero.

What is force?

The force is the action of push or pull in order to move or stop the object.

Given, q1 = -1.60 x 10⁻¹⁹ C, q2 = +1.60 x 10⁻¹⁹ C, and q3 = -1.60 x 10⁻¹⁹ C. Particles q1 ,q2 and q2 , q3 are separated by d =0.001 m.

Net electrostatic force on q2 will be

F12 =F23

k q1 q2 / d² = kq2 q3 /d²

q1 q2 = q2 q3

Substitute the values of forces, we get

1.60 x 10⁻¹⁹ x 1.60 x 10⁻¹⁹  =  1.60 x 10⁻¹⁹ x 1.60 x 10⁻¹⁹  

1 =1

The net force F12 - F23 =0

Thus, the net force on q2 is zero.

Learn more about forces.

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Which two waves combine to form a surface wave?


a transverse wave and a light wave

two transverse waves

two longitudinal waves

a transverse wave and a longitudinal wave

Answers

Answer:

i beilieve that the answer is a transverse wave and a longitudinal wave

Explanation:

i dont really have an explanation

The two waves combine to form the surface wave will be the transverse wave and the longitudinal waves.

What are surface waves?

Surface waves are generated from the point of the earthquake inside the earth. There are generally three types of waves are generated primary, secondary, and surface waves.

Now this surface wave is the slowest wave which reach to the surface of earth very slowly and is the most destructive wave.

The surface waves travel both in the vertical as the well horizontal direction along their direction of flow.

An example of surface waves is the car park in the parking that goes up down just like the waves in the oceans.

Thus the two waves combine to form the surface wave will be the transverse wave and the longitudinal waves.

To know more about surface waves follow

https://brainly.com/question/16948312

difference between concave and convex lens​

Answers

Answer:

convex lens:converging lens

focal length:positive

magnification; positive

concave lens:diverging lend

focal length:negative

magnification :negative

types:concavoconcave,planoconcave

A convex lens or converging lens focuses the light rays to a specific point whereas a concave lens or diverging lens diverges the light rays. A lens is a transparent material (either curved or flat surface) based on the principles of refraction. Concave lenses and convex lenses are often used together which is known as the Concave – Convex lens. When these lenses are combined, they produce sharper images. Most of the eyeglass lenses use combinations of convex and concave lenses. Cameras, telescopes and microscopes use different lens, helping us to see the world in a better

Read it and make it as table.

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A company prints proceedings books for a trade show that are sold to attendees for $10 per book. The books cost the company $2 per book to make. Any books left over at the end of the trade show can be sold to a local paper mill for $0.50 each, but it costs the printing company $0.25 per book to haul them to the paper mill. What are the underage and overage costs for the books According to the data released by the Chamber of Commerce of a certain city, the weekly wages of factory workers are normally distributed with a mean of $720 and standard deviation of $40. Find the probability that a worker selected at random from the city makes the following weekly wage. (Round your answers to four decimal places.) Flychucker Corporation is evaluating an extra dividend versus a share repurchase. In either case $14,000 would be spent. Current earnings are $2.00 per share, and the stock currently sells for $50 per share. There are 2,000 shares outstanding. Ignore taxes and other imperfections. a. Evaluate the two alternatives in terms of the effect on the price per share of the stock and shareholder wealth per share Required information: Analyzing income effects from eliminating departments.Suresh Co. expects its five departments to yield the following income for next year. Dept. M Dept. N Dept. O Dept. P Dept. T Total Sales $66,000 $38,000 $59,000 $45,000 $31,000 $239,000 Expenses Avoidable 11,300 38,200 23,300 15,500 40,500 128,800 Unavoidable 53,000 14,400 4,500 31,200 11,900 115,000 Total expenses 64,300 52,600 27,800 46,700 52,400 243,800 Net income (loss) $1,700 $(14,600) $31,200 $(1,700) $(21,400) $(4,800) Re-compute and prepare the departmental income statements (including a combined total column) for the company under each of the following separate scenarios.1) Management eliminates departments with sales dollars that are less than avoidable expenses.2) Management eliminates departments with expected net losses. If you were to 'unroll' the cylinder you would find the side is actually ALWAYS a rectangle when flattened out? Waterways has discovered that a small fitting it now manufactures at a cost of $1.00 per unit could be bought elsewhere for $0.83 per unit. Waterways has fixed costs of $0.20 per unit that cannot be eliminated by buying this unit. Waterways needs 474,000 of these units each year. If Waterways decides to buy rather than produce the small fitting, it can devote the machinery and labor to making a timing unit it now buys from another company. Waterways uses approximately 500 of these units each year. The cost of the unit is $13.26. To aid in the production of this unit, Waterways would need to purchase a new machine at a cost of $2,369, and the cost of producing the units would be $10.00 a unit. Without considering the possibility of making the timing unit, evaluate whether Waterways should buy or continue to make the small fitting. The company should (buy/Make) the fitting. Incremental cost / (savings) will be ____________$ Solve the system of linear equations by substitution.2-y= 5x + 3y = 9The solution is (OO). Transverse, Spiral, Greenstick, Stress, Compression, Oblique, Impacted, And Segmental are all examples of what? 2. The fabric wall hanging has an area of112 square feet. The width is 8 feet.What is the length? Help me for more points what happens to gas molecules as the pressure is increased while the temperature and volume of the container remain constant according to the kinetic molecular theory Type of angle: Angle measures: In your opinion, how does the pancreas regulate the exact amount of glucose to be absorbed into itstarget organs through the secretion of insulin? help please sos need help!! Some ocean plants, such as photosynthetic algae, benefit when dissolved CO2 levels in ocean water are elevated. Complete thechemical equation by dragging and dropping components of the equation into the boxes that BEST explains how algae use CO2 forphotosynthesis please help ill mark brailyst and give likes HELP MEEEEEEEEEE SOOOOOO EASY PLEASE AND BRANLIEST TOOOOOO (07.04 LC)What is the solution to the equation fraction 1 over 3x = 6? x = 18 x = 2 x = fraction 1 over 2 x = fraction 1 over 18 Bailey leads a very stressful and busy life. She often eats fast food meals that are low in vitamins and fiber. Lately, she has been digestively sick, so she goes to see the doctor. The doctor orders a stool sample, then discusses some of Baileys lifestyle choices. Which disorders is the doctor most likely considering as being partially caused by Baileys lifestyle?diverticulitis and IBSdiverticulitis and GERDulcers and IBSGERD and ulcers NO LIKS How are a pyramid and a cone similar?They both have one base.They both have polygon bases.They both have vertices.They both have lateral faces. what is the present state of employment in Nepal