A cyclist who starts from rest will cycle with uniform acceleration. He moves 8m in 4th second. How far does he move in 5 seconds?​

Answers

Answer 1

Answer: 200m in 5seconds.

Explanation: To find the distance traveled by the cyclist in 5 seconds, we need to use the equation for distance traveled with uniform acceleration:

d = d0 + v0t + 1/2a*t^2

where d is the distance traveled, d0 is the initial displacement (in this case, 0 since the cyclist starts from rest), v0 is the initial velocity (also 0 in this case), t is the time elapsed, and a is the acceleration.

We are given that the cyclist moves 8m in 4 seconds, so we can plug these values into the equation:

8m = 0 + 04s + 1/2a*4s^2

8m = 1/2a16s^2

a = 8m / (1/2 * 16s^2)

a = 16m/s^2

Now that we have the acceleration, we can use the equation to find the distance traveled in 5 seconds:

d = 0 + 05s + 1/216m/s^2*5s^2

d = 1/216m/s^225s^2

d = 200m

Therefore, the cyclist will move a distance of 200m in 5 seconds.


Related Questions

Why don't normal everyday collisions result in fusion?

Answers

Jahshsjajhajajahahahhhhhhh

Without using afood flask, suggest another ways would you keep food warm a till to the hospital

Answers

Another way to keep food warm till you arrive at the hospital is by putting the food in a foil and wrapping it up with a towel to retain the heat.

What is Food preservation?

Food preservation is defined as the process by which a cooked food or process food is kept in such a way that microorganisms cannot affect their taste and texture.

To prevent a cooked food from getting cold, you can put the food in an aluminium foil and wrap it with a towel to prevent heat loss.

Learn more about food preservation here:

https://brainly.com/question/16972821

#SPJ1

Sedimentary rocks were initially deposited as? will give brainliest
a. flat vertical layers
b. horizontal layers
c. soft folded beds
d. hard, flat rock layers

Answers

Based on my notes the answer must be B. horizontal layers

Answer:

B. horizontal layers

Explanation:

1. How did the temperature of the mixture change before and after the ice melted? 2. Calculate the average temperature change per minute of the ice-water mixture prior to the ice melting and the average rate after the ice melted, average rate prior to melting______ average rate after melting______

Answers

The temperature of the mixture remained constant at the melting point of ice (0 degrees Celsius) before the ice melted.

The average rate of temperature change per minute was 0 degrees Celsius before the ice melted, and increased to the rate at which heat was being applied after the ice melted.

When ice is in contact with water, it melts at its melting point, which is 0 degrees Celsius. During this phase change, the temperature of the mixture remains constant at 0 degrees Celsius until all the ice has melted.

The average rate of temperature change per minute prior to the ice melting is 0 degrees Celsius, as the temperature remains constant.

After the ice melts, the average rate of temperature change per minute will depend on the rate at which heat is being applied to the mixture, which could vary based on the heat source used and the conditions of the experiment.

For more questions like Temperature click the link below:

https://brainly.com/question/11464844

#SPJ11

If a wave’s frequency is 16Hz and it’s wavelength is 10m. What’s the waves speed?

Answers

Answer:

160J

Explanation:

Given parameters:

Frequency  = 16Hz

Wavelength = 10m

Unknown:

Waves speed  = ?

Solution:

Waves speed is the product of frequency and wavelength;

  Waves speed  = fλ

f is the frequency

λ is the wavelength

Now insert the parameters and solve;

     Waves speed = 16 x 10  = 160J

Internal injuries can include which of the following? HELP ASAP (EDG ANATOMY 2020)


fractured rib


neck sprain


contusion


ear avulsion


ruptured organ


torn tendon


cheek laceration

Answers

Answer: fractured rib, neck sprain, ruptured organ, torn tendon

Explanation: I just did it

Answer:

fractured rib

neck sprain

ruptured organ

torn tendon

Explanation:

edge - got 100%

A skier starting from rest accelerates in a straight line down a 43,000 m slope at 1 m/s. How fast were they moving after 5 s?

Answers

Answer:

5m/s

Explanation:

The skier accelerates at 1 m/s, then, the acceleration is:

\(a=1\frac{m}{s^2}\)

to find the speed after 5 seconds you use the following formula:

\(a=\frac{v-v_o}{t}\)

but vo = 0m/s because the skier is at rest at the beginning.

You do v the subject of the formula:

\(v=at=(1\frac{m}{s^2})(5s)=5\frac{m}{s}\)

hence, the velocity is 5m/s

how fast would a(n) 70 kg man need to run in order to have the same kinetic energy as an 8.0 g bullet fired at 430 m/s. Express your answer to two significant figures and include the appropriate units.

Answers

The kinetic energy of an 8.0 g bullet fired at 430 m/s, a 70 kg man would need to run at approximately 4.60 m/s. To find the velocity of the man, we can equate his kinetic energy to that of the bullet.

The kinetic energy of an object can be calculated using the formula:

K = 0.5 * m * v²

For the bullet:

K_bullet = 0.5 * 0.008 kg * (430 m/s)² = 739.28 J

For the man:

K_man = 0.5 * 70 kg * v_man²

Equating the two expressions for kinetic energy, we have:

739.28 J = 0.5 * 70 kg * v_man²

Solving for v_man, we get:

v_man^2 = (739.28 J) / (0.5 * 70 kg) = 21.12 m²/s²

Taking the square root of both sides, we find:

v_man ≈ 4.60 m/s

Therefore, the man would need to run at approximately 4.60 m/s to have the same kinetic energy as the bullet fired at 430 m/s.

To know more about kinetic energy,

https://brainly.com/question/999862

#SPJ11

fitb. ______ is any unconsolidated or weakly consolidated material at the earth's surface, regardless of particle size or composition.

Answers

"Soil is any unconsolidated or weakly consolidated material at the earth's surface, regardless of particle size or composition."

Soil is a mixture of minerals, organic matter, air, water, and living organisms. consolidated material at the earth's surface, regardless of particle size or composition. It forms through the processes of weathering and the interaction of various factors such as climate, topography, parent material, organisms, and time. Soil plays a crucial role in supporting plant growth, providing nutrients, regulating water flow, filtering pollutants, and serving as a habitat for many organisms. It varies in composition and characteristics across different regions and has significant importance in agriculture, ecology, and land management.

Learn more about Soil is any unconsolidated or weakly here:

https://brainly.com/question/32282596

#SPJ11

what is pH? (NEED ANSWER ASAP)

A.how acidic a solution is
B. how basic a solution is
C.the concentration of potassium in a solution
D.the concentration of hydrogen ions is a solution

Answers

Answer:

the answer is A

Explanation:

pH is a measure of how acidic/basic water

the finger-like projections along the surface of the small intestines are called

Answers

Villi are the finger-like projections along the outer part of the small intestines. It enlarges the outer area of the small intestines, providing a greater surface for the absorption of nutrients from digested food.

Villi are microscopic, finger-like projections that line the inner surface of the small intestine. Their primary function is to increase the surface area available for nutrient absorption. Each villus contains specialized cells, such as enterocytes, which have microvilli on their surface, further increasing the surface area.

As food passes through the small intestine, nutrients are broken down into smaller molecules through the digestive process. These nutrients, including carbohydrates, proteins, and fats, are then absorbed into the bloodstream through the villi. The villi are equipped with a rich network of blood vessels and a lacteal, allowing for efficient absorption.

The enterocytes on the surface of the villi have numerous transport proteins that facilitate the absorption of specific nutrients. For instance, glucose and amino acids are absorbed into the bloodstream through active transport, while fatty acids and glycerol are absorbed into the lacteal through a process called passive diffusion.

Learn more about villi here:
https://brainly.com/question/1293500

#SPJ11

A hiker walks 4.24m, north and 13.32 m, E. What is the magnitude of his resultant displacement.

Answers

Answer:the magnitude of the hikers resultant displacement

Explanation:

Consider the 636 N weight held by two cables shown below. The left-hand cable had tension T and makes an angle of θ with the wall. The right-hand cable had tension 890 N and makes an angle of 26◦ with the ceiling.
What is the angle θ which the left-hand cable makes with respect to the wall?

Consider the 636 N weight held by two cables shown below. The left-hand cable had tension T and makes

Answers

The angle θ which the left-hand cable makes with respect to the wall is  17⁰.

What is resultant force on the cables?

The resultant force on the cables is determined by resolving the forces into x and y components as shown below.

y-component of the weight;

Wy = -636 N

y-component of the tension in the right cable;

Ty = 890 x sin(26)

Ty = 390.15 N

x-component of the tension in the right cable;

Tx = 890 x cos(26)

Tx = 799.93 N

y-component of the tension in the left cable;

Ty = T sinθ

x-component of the tension in the left cable;

Tx = -T cosθ

Sum of the forces in y-direction;

∑F_y = 0

T sinθ - 636 + 390.15 = 0

T sinθ - 245.85 = 0

T sinθ = 245.85 -------- (1)

Sum of the forces in x-direction;

∑Fx = 0

-T cosθ + 799.93 = 0

T cosθ = 799.93  -------- (2)

Divide equation (1) by (2)

T sinθ / T cosθ = 245.85/799.93

tanθ = 0.307

θ = arc tan(0.307)

θ = 17.1⁰ ≈ 17⁰

Learn more about tension in cable here: https://brainly.com/question/14336853

#SPJ1

two point charges -5 uc and 4 uc charge are 21 cm apart. what is the magnitude of the electric field at a point half-way between the two charges?

Answers

The electric field at a point halfway is 18.37 x 10⁵ N/C.

We need to know about the electric fields to solve this problem. The electric field produced by a single-point positive charge is a radial field, whose strength is given by the equation

E = k.Q/r²

where E is the electric field, Q is the charge and r is the radius.

From the question above, we know that

k = 9 x 10⁹ Nm²/C²

Q1 = -5μC = -5 x 10¯⁶ C

Q2 = 4μC = 4 x 10¯⁶ C

x = 21 cm = 0.21 m

from midpoint (r = 0.105 m)

The electric field directly outward from Q2 to Q1 so that the total electric field between the charges will be added up.

Etotal = E1 + E2

Etotal = k.Q1/r² + k.Q2/r²

Etotal = k/r² x (Q1 + Q2)

Etotal = 9 x 10⁹/(0.21)² x (5 x 10¯⁶ + 4 x 10¯⁶)

Etotal = 18.37 x 10⁵ N/C

Find more on electric field at: https://brainly.com/question/14372859

#SPJ4

12. a) What is the gravitational attraction of the sun
on the earth? (b) of the earth on the sun?

Answers

Answer:

About 3.54x1022 N.

Explanation: The gravitational force between the Sun and the Earth is about 3.54x1022 N. This force keeps the Earth orbiting around the Sun. The gravitational force from the other planets does slightly affect the Earth's orbit, but the gravitational pull from the other planets and the Moon is still very small. Sorry if I get this wrong. I am in 5th grade! ♥

A plane traveled for 3 hours at a velocity of 1200 km/hr North. What is the distance traveled?

Answers

Answer:

the answer is 3600 kilometers

1. A 3.5 kg object experiences an acceleration of 0.5 m/s2. What net force does the object experience

Answers

Answer:

1.75 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 3.5 × 0.5 = 1.75

We have the final answer as

1.75 N

Hope this helps you

Module 3 Discussion!
After reading Ch.12 and 13 of the text (The essentials of Finance and Accounting for nonfinancial managers/ Third Edition) on Strategy and Financial Forecasting, watching the SWOT video based on Paley’s Products from the Ratio Analysis in Module 2 and the additional narrative information in Appendix C, Phase
Create a SWOT analysis that will reflect the TOWS analysis as described in Ch. 12 of the text. The purpose of the SWOT analysis is to lay out several issues and possibilities to be considered in Paley’s strategic planning. The strengths and weaknesses are internal issues, whereas the opportunities and threats are external.
The second part of the analysis is to create actions based on the SWOTs. This is sometimes called a TOWS analysis and is done by comparing the boxes, two at a time:
Offensive actions come from strengths that link to opportunities, so a specific strength can be applied to exploit an opportunity.
Adjusting actions come from addressing weaknesses, which then can be used to exploit opportunities that previously had not been possible.
Turnaround actions come from weaknesses that link to threats. These are high-risk issues where a priority needs to be given to addressing the weakness to minimize the vulnerability.
Defensive actions come from threats that link to strengths. These are latent issues because if the threat materializes, an already-existing strength is available to counter it.
Additional actions can be included to address other issues not directly identified in the SWOTs.
3. From the actions identified in part 2, pick 3-5 strategic actions that you feel Paley must achieve or at least start in the upcoming year and state your reasons for including them.
Attach your completed SWOT form and list of strategic actions with supporting logic and facts from the case as your answer for this discussion question. These actions are the foundation for the strategic plan

Answers

SWOT Analysis Strengths- Paley’s Products has a low overhead cost with the company operating at a high level of efficiency, resulting in competitive pricing.- They have a team of experienced employees who have worked in the industry for several years.- They have a variety of products in the portfolio that can satisfy customers from different sectors.- They are reputable and have a loyal customer base.Weaknesses- They have been slow to adopt new technology, and this may be a disadvantage to the company.- Limited marketing and sales promotion are affecting their sales revenue.-

They depend on a few key customers for the bulk of their sales revenue, leaving them vulnerable to market changes.Opportunities- Expansion of the product line to include unique products.- The establishment of strategic partnerships with other businesses in the industry.- Exploration of new markets, such as international markets.- Improvement of marketing techniques to increase brand awareness.Threats- Changes in consumer preferences towards environmentally friendly products.- Increase in competition from other businesses in the industry.- Fluctuating market prices for raw materials that may lead to price increases.

Strategic Actions to be taken by Paley Products1. Development of an E-commerce platform to allow online transactions with customers. The E-commerce platform will enable Paley to reach a wider customer base, expand its reach, and increase sales revenue.2. Investment in the research and development of new environmentally friendly products. Paley will remain competitive and cater to the needs of consumers who prefer green products.3. Establishment of strategic partnerships with other businesses in the industry to leverage the strength of other companies in the industry and to develop new products or increase market share.4. Improvement of marketing techniques to increase brand awareness and improve visibility. A marketing strategy that incorporates social media and other digital channels can help promote the brand to potential customers.5. Expansion into international markets. This will enable Paley to diversify its customer base and generate more revenue. Paley can start by targeting nearby countries, then expand globally as they gain more experience and financial stability.

Learn more about SWOT Analysis:

https://brainly.com/question/25066799

#SPJ11

A train starts from rest .It moves through 1km in 100s with uniform accelaration . What will be its speed at the end pf 100 s

Answers

Answer:

Explanation:

Distance = 1 km

= 1000m

Time = 100 sec

Speed = distance / time

= 1000 / 100

= 10 m/s

T or F? potential energy is limited to electormagnetic, mechanical, and nuclear energy.

Answers

False

Because, there is energy from water... which isn’t electromagnetic, mechanical or nuclear energy

Hope this helps ♥︎☁︎☀︎♨︎

Particle Physics: Fundamental particles are grouped into two main groups: hadrons, which are made of quarks, and what other group, which includes electrons and muons?

Answers

The strong nuclear force, leptons do not interact with this force and include particles like electrons and muons.

Fundamental particles are the building blocks of matter and can be grouped into two categories based on their intrinsic properties and interactions with other particles: fermions and bosons. Fermions are the particles that make up matter and are divided into two subcategories: quarks and leptons. Leptons are fundamental particles that do not participate in the strong nuclear force, while quarks are particles that do participate in the strong nuclear force and are always found within hadrons, which are particles made up of quarks.

Hadrons are subdivided into two categories: baryons and mesons. Baryons are hadrons made up of three quarks, while mesons are hadrons made up of one quark and one antiquark. Some examples of baryons include the proton and the neutron, which are both made up of up and down quarks. Mesons include particles like the pion, kaon, and eta meson.

Leptons, on the other hand, are particles that do not interact with the strong nuclear force and include electrons, muons, and taus, as well as their corresponding neutrinos. Electrons are negatively charged particles that orbit the nucleus of atoms, while muons are similar in many ways to electrons, but are about 200 times more massive. Taus are even more massive than muons.

Overall, the categorization of fundamental particles into hadrons and leptons is based on their interactions with other particles, particularly with respect to the strong nuclear force. While hadrons are made up of quarks and are subject to the strong nuclear force, leptons do not interact with this force and include particles like electrons and muons.

To learn more about electrons visit:

https://brainly.com/question/1255220

#SPJ11

an infinitely long insulating cylinder of radius r has a volume charge density that varies with the radius as given by the following expression where rho0, a, and b are positive constants and r is the distance from the axis of the cylinder.

Answers

The expression for the volume charge density of an infinitely long insulating cylinder of radius r is given by:

ρ(r) = ρ₀ / (1 + (r/a)^2)^(3/2) * (1 – (r/b)^2)^(3/2)

where ρ₀, a, and b are positive constants, and r is the distance from the axis of the cylinder. This expression shows that the charge density decreases with increasing radius, as the denominator increases more quickly than the numerator.

Additionally, the constants ρ₀, a, and b all affect the rate at which the charge decreases with increasing radius. The larger the value of ρ₀, the more quickly the charge density decreases with increasing radius, so it is important to choose the correct values for these constants in order to accurately model the charge distribution.

Learn more about volumetric loading density :

https://brainly.com/question/28794435

#SPj4

How can you tell, based on observing an object, that there is a net force acting upon that object?

Answers

Answer:

Net force is the sum of all forces acting on an object. The net force can be calculated using Newton's second law, which states that F = ma, where: F is the net force. m is the mass of the object.

Explanation:

Answer:

accelerating

Explanation:

If  accelerating it has a net ( unbalanced) force acting on it .

  with zero net forces it will either remain at rest or continue moving (but not accelerate)

why do sport activities be part of our life?​

Answers

Answer:

Sport lowers high blood pressure, Keeps cholesterol level right. Blood circulation in the body is relatively high during play, so nutrients can go to all parts of the body. Moreover, white blood cells increase during play that increases the body’s immunity power. That’s why sports is important in our life.

Explanation:

yes

Draw the position vs. time graph for a person walking at a constant speed of 1m/s for 10 seconds. On the same axes, draw graph for a person running at a constant speed of 4m/s

Answers

Plot a graph, constant speed of movements represented as straight lines. Time on X axis (seconds)  and position on Y axis (metres) , calculated by moving, e.g 4metres in a second.

What force would be needed to increase a 450 kg object's velocity from 15 m/s to 75 m/s in 1 minute?

Answers

Answer:

450N

Explanation:

Given parameters:

Mass of object  = 450kg

Initial velocity  = 15m/s

Final velocity  = 75m/s

Time  = 1min  = 60s

Unknown:

Force applied  = ?

Solution:

To solve this problem, from Newton's second law of motion, we know that;

  Force  = mass x acceleration

  Acceleration  = \(\frac{v - u }{t}\)

 v is the final velocity

 u is the initial velocity

 t is the time taken

Now;

    Force  = mass x  \(\frac{v - u }{t}\)

   Force  = 450 x \(\frac{75 - 15}{60}\)  = 450N

Based on what you learned about light, select all of the correct statements from the following list.a. High frequency photons carry more energy than long wavelength photons.b. All electromagnetic waves travel at the speed of light.c. Light can act both as a wave and a particle.d. A photon is a particle of light. X-rays and gamma rays are long wavelength photons.e. Different types of electromagnetic radiation are fundamentally different types of waves.f. The only type of electromagnetic radiation that is actually considered light is visible light.

Answers

Correct statements about light are a) b) c) d) and false statements are e) and f) based on radiation properties

Correct statements about light are:

a. High frequency photons carry more energy than long wavelength photons. This is because the energy of a photon is directly proportional to its frequency, according to the equation E=hf, where E is energy, h is Planck's constant, and f is frequency. Therefore, photons with higher frequencies (and shorter wavelengths) have higher energy than those with lower frequencies (and longer wavelengths).

b. All electromagnetic waves travel at the speed of light. This is a fundamental property of electromagnetic waves, which are made up of oscillating electric and magnetic fields that propagate through space at the speed of light in a vacuum.

c. Light can act both as a wave and a particle. This is known as wave-particle duality and is a fundamental concept in quantum mechanics. Depending on the experiment, light can exhibit both wave-like and particle-like behavior.

d. A photon is a particle of light. This is true. Photons are the fundamental particles of light and are massless particles that travel at the speed of light.

e. Different types of electromagnetic radiation are fundamentally different types of waves. This is false. All types of electromagnetic radiation are fundamentally the same type of wave, differing only in their frequency and wavelength.

f. The only type of electromagnetic radiation that is actually considered light is visible light. This is false. All types of electromagnetic radiation, from radio waves to gamma rays, are considered forms of light. However, the human eye is only sensitive to a narrow range of frequencies within the electromagnetic spectrum, which we perceive as visible light.

Learn more about light here:

https://brainly.com/question/22575613

#SPJ4

an object is placed at dist 25cm in front of concave mirror and image has magnification of -2 .find focal length

Answers

Answer:

Given,

Object distance, u=25cm

Focal length, f=20cm

From mirror formula

f

1

=

v

1

+

u

1

−20

1

=

v

1

25

1

v

1

=−

20

1

+

25

1

v=100cm

The image will be real, inverted magnified

Explanation:

Given,

Object distance, u=25cm

Focal length, f=20cm

From mirror formula

f

1

=

v

1

+

u

1

−20

1

=

v

1

25

1

v

1

=−

20

1

+

25

1

v=100cm

The image will be real, inverted magnified

A 250. g object is attached to a spring. The object is pushed 10.0 cm against the spring, then released. Using a stopwatch, it is determined that the system experiences 12 cycles every 20 seconds. What is the spring constant

Answers

The spring constant is 0.943 N/m. The spring pushes the object back towards its original position and this energy is converted into kinetic energy.

The system in this scenario consists of the 250. g object and the spring it is attached to. When the object is pushed against the spring, it compresses and stores potential energy. When released, the spring pushes the object back towards its original position and this energy is converted into kinetic energy.

The fact that the system experiences 12 cycles every 20 seconds tells us that the object oscillates back and forth 12 times in 20 seconds. One full oscillation is equal to the object moving from its starting position, to the maximum displacement from that position, back to the starting position, and then to the maximum displacement in the opposite direction, before returning again to the starting position.

To find the spring constant, we can use the equation for the period of oscillation of a mass-spring system:

T = 2π * sqrt(m/k)

where T is the period of oscillation, m is the mass of the object, and k is the spring constant.

We know that T = 20 s / 12 = 1.67 s (since there are 12 cycles in 20 seconds). We also know that m = 250. g = 0.25 kg.

Plugging these values into the equation, we can solve for k:

1.67 s = 2π * sqrt(0.25 kg/k)

1.67 s / (2π) = sqrt(0.25 kg/k)

0.265 s^2/kg = 0.25 kg/k

k = 0.25 kg / 0.265 s^2

k = 0.943 N/m

Therefore, the spring constant is 0.943 N/m.

to learn more about kinetic energy click here:

brainly.com/question/22174271

#SPJ11

The articles of confederation represented the Americans distrust of what form of government?

Answers

Answer: The Articles of Confederation were against having a strong central government.

Explanation:

Other Questions
Who is hitler if thats even how you spell his name How to make classs constructer java. Ea.suggested that Africans be brought to the Americas for slave labor.Hernn Cortsb. lvar Nez Cabeza de VacaC. Bartolom de Las Casasd. Juan Ponce de Len A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path? What is the net force acting on the box?285 N185 N85 N65 N Which best defines genes? Particles in a liquid can __________. Which idea is typically associated with the word "spade? leisure timecity lifewriting poemshard work When the price of cheeseburgers is equal to $6, the quantity demanded of cheeseburger is equal to 1,200 and the quantity supplied is equal to 700. The price per cheeseburger will...A)remain constant because the market is in equilibrium.B)decrease because there is an excess demand in the market.C)increase because there is an excess demand in the market.D)decrease because there is an excess supply in the market. Arnold borrowed $7890 at 11.5 percent for five years.What is the amount of Arnold's total payment?$11,580$10,410$9,520$8,560CAN SOMEONE PLEASE HELP ME ASAP IM STUCK what are the implications and consequences of this exchange between john kennedy and nikita khrushchev at their summit conference in vienna, austria, in 1961. A garden apartment that is at the bottom of a 10-step stairway is for lease. A person with a disability that makes it impossible to use stairs asks to see the unit; the landlordA)should advise the prospective tenant of the need for an expensive accommodation that the landlord is unwilling to make.B)should install a motorized seat for the stairway before showing the unit to the prospective tenant.C)should show the prospective tenant the access to the unit and let the tenant decide whether to proceed with the rental.D)should let the prospective tenant know that the unit is unsuitable. convert the hexadecimal expansion (A95E)16 to a decimal expansion. The system is in equilibrium, and the pulleys are weightless and frictionless.Find the tension T. The acceleration of gravity is 32 ft/s^2Note: lb slug ft/s^2Answer in units of lb.There is an attachment of the system below Forbidden Love Can Themba Who is the protagonist Find the values of z/x and z/y at the given point. 2z35xy+yz+3y34=0,(4,2,2) Franklin purchases 40 percent of Johnson Company on January 1 for $601,700. Although Franklin did not use it, this acquisition gave Franklin the ability to apply significant influence to Johnson's operating and financing policies. Johnson reports assets on that date of $1,554,000 with liabilities of $582,000. One building with a seven-year life is undervalued on Johnson's books by $222,250. Also, Johnson's book value for its trademark (10-year life) is undervalued by $310,000. During the year. Johnson reports a net income of $96,000 while declaring dividends of $40,000.a) What is the Investment in Johnson Company balance (equity method) in Franklin's financial records as of December 31?1. $637,400.2. $624,100.3. $611,700.4. $599,000.b) Explain the result. What is the volume/volume percent concentration of a solution prepared from 12 ml of ethyl acetate in 410 ml of solution An object with a mass of 0.255 kg and density of 2.89 g/cm3 measures 34 mm in length and 46 mm in width. What is the height of the object? An interruption in the plot to present something which happened before the beginning of the story is _____.dialogueflashbackforeshadow