A ball of mass 2kg is thrown up with a speed of 10m/s. find the kinetic energy of the ball at the time of throwing. Also find the potential energy of the ball at the highest point?

Answers

Answer 1

The potential energy of the ball at the highest point is 100.98J

The kinetic energy of the ball at the time of throwing can be calculated using the formula KE = 1/2mv^2, where m is the mass of the ball and v is its velocity. In this case, the mass of the ball is 2kg and the velocity at the time of throwing is 10m/s. Substituting these values into the formula gives:

KE = 1/2 x 2kg x (10m/s)^2

KE = 100J

Therefore, the kinetic energy of the ball at the time of throwing is 100J.

At the highest point of the ball's trajectory, it reaches a point of zero velocity. At this point, all of the kinetic energy of the ball has been converted into potential energy due to its position in the Earth's gravitational field. The potential energy of an object at a height h above the ground can be calculated using the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2 near the surface of the Earth), and h is the height of the object above the ground.

At the highest point, the velocity of the ball is zero and its height is at its maximum. Assuming the initial height of the ball was 0, the height of the ball at the highest point can be calculated using the formula h = v^2/2g, where v is the initial velocity of the ball. In this case, the initial velocity is 10m/s, so the height of the ball at the highest point is:

h = (10m/s)^2/2 x 9.8m/s^2

h = 5.1m

Substituting the mass of the ball and the height into the potential energy formula gives:

PE = 2kg x 9.8m/s^2 x 5.1m

PE = 100.98J

Therefore, the potential energy of the ball at the highest point is approximately 101J.

Know more about Kinetic energy here:

https://brainly.com/question/8101588

#SPJ11


Related Questions

A worker drives to work each morning, always leaving at the same time. When he drives at
an average speed of 30km/hr he arrives six minutes early, but when he drives at an average
speed of 20km/hr he arrives six minutes late. What is the distance between his house and his
office? Calculate his average speed when he arrives precisely on time. Explain your answer.

Answers

Explanation:

speed = distance/time

distance/speed = distance / distance/time = time

when we define the equations, we must be careful to use the same scales as in the given numbers.

as we are dealing with km/h for speed, we need to have distance measured in km, and time in hours.

6 minutes is therefore 1/10 of an hour (1 hour = 60 minutes).

distance/30 = x - 1/10

distance/20 = x + 1/10

we subtract equation 2 from equation 1 :

distance/30 = x - 1/10

- distance/20 = x + 1/10

-----------------------------------

distance/30 - distance/20 = -2/10

we multiply by 60 to eliminate all fractions :

2×distance - 3×distance = -2×6 = -12

-distance = -12

distance = 12 km

x = the travel time to arrive on time.

distance/30 = x - 1/10

12/30 = x - 1/10

12 = 30x - 3

15 = 30x

x = 15/30 = 0.5 hours = 30 minutes

so, he has half an hour for his 12 km trip to work to arrive precisely on time.

that means his average speed for that must be

12/0.5 = 24/1 = 24 km/h

an object 1.70 cm high is held 3.00 cm from a person's cornea, and its reflected image is measured to be 0.167 cm high. what is the magnification?

Answers

Answer: 0.098

The magnification can be calculated using the formula:

magnification = height of reflected image / height of object

In this case, the height of the reflected image is 0.167 cm and the height of the object is 1.70 cm. Therefore:

magnification = 0.167 / 1.70
magnification = 0.098

Therefore, the magnification is 0.098.

Diane is training for a marathon and goes to the track (400 m) to run every morning.If Diane runs around the track 10 times, what is the distance in meters that she travels? Do not include the unit in your answer.

Answers

To answer this question, we need to remember what distance really is. Distance is far something moves in a scalar motion, which is not relative to where she starts out originally.

Since Diane travels around the track 10 times and the track is 400 meters long, she ultimately ends up traveling 4000 meters.

A gas is enclosed in a container fitted with a piston of cross-sectional area 0.10 m2 . the pressure of the gas is maintained at 8000 nm-2 . when heat is slowly transferred, the piston is pushed up through a distance of 4 cm. if 42 j heat is transferred to the system during the expansion, what is the change in internal energy of the system?

Answers

The change in internal energy is 10 J.

Calculation:

Given,

Cross-sectional area, A = 0.10 m²

Pressure of gas, P = 8000 N/m²

Displacement, s = 4 cm = 0.04 m

Heat transferred, H = 42 J

To find,

Change in internal energy =?

We know that, as per Law of thermodynamics,

Change in internal energy = Heat - Work

Force = pressure × area

          = 8000 × 0.10

          = 800 N

Work = Force × Displacement

         = 800 × 0.04

         = 32 J

Change in internal energy = Heat - Work

                                            = 42 - 32

                                            = 10 J

Hence, the change in internal energy is 10 J.

Learn more about law of thermodynamics here:

https://brainly.com/question/3808473

#SPJ4

A satellite in a circular orbit 1250 kilometers above Earth makes one complete revolution every 110 minutes.
What is its linear speed? Assume that Earth is a sphere of radius 6400 kilometers.

Answers

The Linear speed is 53.96km/min

The linear speed of a satellite in a circular orbit 1250 kilometers above Earth and making one complete revolution every 110 minutes

we use ;

v = 2πr/T , Where ;v = linear velocity , r = radius of orbit , T = time period

Substitute the given values

v = 2π(6400 + 1250) km/110 min= 2π(7650)/110 km/min= 53.96 km/min

Linear speed is the measure of the concrete distance travelled by a moving object. The speed with which an object moves in the linear path is termed linear speed.

Therefore, the linear speed of the satellite is 53.96 km/min.

To know more about Linear speed visit:

https://brainly.com/question/30397189

#SPJ11

What do you predict would happen if you brought a negatively charged balloon next to an uncharged piece of paper?.

Answers

The balloon's negative charge draws the paper to it.

How does this attraction between balloon and paper happen?

A portion of the paper near the balloon becomes positive when you place the balloon close to a small piece of paper because the negative balloon repels the electrons in the paper. The paper moves in the direction of the balloon because positive and negative forces are attracted to one another. The paper is drawn to the balloon's negative charge.

This phenomena is called charging of body by induction because the charges are being induced in this process.

To know more about induction or related concepts you may visit the link which is mentioned below:

https://brainly.com/question/10254645

#SPJ4

(1) a father racing his son has 1/4 the kinetic energy of the son, who has 1/2 the mass of the father. the father speeds up by 1.7 m/s and then has the same kinetic energy as the son. what are the original speeds of (a) the father and (b) the son?

Answers

The original speeds of the father and the son are 1.9 m/s and 5.374 m/s.

Mass of the son = m1

Mass of the father = m2

The son has 1/2 the mass of the father.

m_2 = 2m_1

Original speed of the son = V1

Original speed of the father = V2

Initial kinetic energy of the son = E_1 = m_1\(V_1^2\)/2

Initial kinetic energy of the father = E_2 = m_2\(V_2^2\) /2

The father has 1/4 the kinetic energy of the son.

E_1 = 4E_2

m_1\(V_1^2\)/2 = 4(m_2\(V_2^2\) /2)

m_1\(V_1^2\)/2 = 2m_2\(V_2^2\)

New speed of the father = V_3 = V_2 + 1.9

New kinetic energy of the father = E_3 = m_2 \(V_3^2\)/2

The new kinetic energy of the father is equal to the kinetic energy of the son.

E_1 = E_3

m1\(V_1^2\)/2 = m2 \(V_3^2\)/2

2m2\(V_2^2\) = m2 \(V_3^2\)/2

4\(V_2^2\) = \(V_3^2\)

2\(V_2\) = \(V_3\)

2\(V_2\) = \(V_2\)  + 1.9

\(V_2\)  = 1.9 m/s

m_1\(V_1^2\)/2 = 2m2\(V_2^2\)

m_1\(V_1^2\)/2 = 2(2m1)(1.9)2

V_1 = 5.374 m/s

a) Original speed of the father = 1.9 m/s

b) Original speed of the son = 5.374 m/s

Speed refers to the rate at which something moves or operates. It can be described as the distance traveled by an object over a certain period of time, or the number of events or operations that occur within a given time frame. Speed is a fundamental concept in physics and is often measured in units such as meters per second, miles per hour, or revolutions per minute.

In everyday life, speed is important in a variety of contexts. For example, the speed of a vehicle can affect its safety and efficiency. The speed at which a computer operates can impact its performance. The speed of communication, such as the transfer of data or the sending of messages, can impact the effectiveness of communication.

To learn more about Speeds visit here:

brainly.com/question/15837674

#SPJ4

Complete Question: -

A father racing his son has 1/4 the kinetic energy of the son, who has 1/2 the mass of the father. The father speeds up by 1.9 m/s and then has the same kinetic energy as the son. What are the original speeds of (a) the father and (b) the son?

A measure of the average kinetic energy per particle in a quantity of matter

Answers

Temperature, is a measure of the average kinetic energy of the particles in a substance. It is the kinetic energy of a typical particle.

Which option identifies the major method scientists use to share their research findings with other scientists?
a) conference presentations
b) peer-reviewed journals
c) newspaper articles
d) Internet videos ​

Answers

The major method scientists use to share their research findings with other scientists is (b) peer-reviewed journals.

What is peer-reviewed journals?

The primary means through which scientists disseminate the results of their study to other scientists is through peer-reviewed publications. Research articles are submitted by scientists in this method to respectable scientific publications.

The papers are next subjected to a thorough examination by a group of subject-matter specialists known as peers or referees. Prior to being approved for publication, these experts evaluate the research's quality, validity, and importance.

Learn more about peer-reviewed journals here:https://brainly.com/question/30544671

#SPJ1

Path:p
How much zinc oxide 10% cream and zinc oxide 1% cream are needed to make 454 g of zinc oxide 3% cream?
Round your answer to the nearest tenth of a gram.
Paragraph
B
1
=
N

Answers

Answer:

.1 A1 = a1      A1 is amount at .1 %

.01 A2 = a2    A2 is the amount at .01%

a1 + a2 = 454     total of a1 and a2

A = 454 / .03  =  15133.33    tot amount needed

454 = .1 A1 + .01 A2    

A2 = 15133.33 - A1    

454 = .1 A1 + .01 (15133.33 - A1)

454 = .09 A1 + 151.33

A1 = 302.67 / .09 = 3363

A2 = 15133.3 - 3363 = 11770.3

Check:

.1 * A1 = 336.3

.01 * A2 = 117.7

total = 336.3 + 117.7 = 454

If an ice cube with the mass of 5.0 grams melts in a closed system such as closed glass jar, what is the mass of the liquid water after the ice cubes completely melts?


A) 4.0 grams

B) 5.0 grams

C) 6.0 grams

D) The mass cannot be determined without knowing the volume.

If an ice cube with the mass of 5.0 grams melts in a closed system such as closed glass jar, what is

Answers

Answer:

4.0 grams

Explanation:

Answer:

B) 5.0 grams

Explanation:

Its right

what is the frequency of a wave that has a wavelength of 3m that is traveling at a speed of 9m/s

Answers

Answer:

3 m/s

Explanation:

according to the big bang theory the entire universe began as a

Answers

According to the Big Bang theory, the entire universe began as a singularity - an extremely hot and dense point in space-time. About 13.8 billion years ago, this singularity began to rapidly expand, creating all matter and energy in the universe and eventually leading to the formation of galaxies, stars, and planets.

The Big Bang theory posits that the universe began as a singularity, a point of infinite density and temperature. This singularity rapidly expanded, causing a rapid cooling and the formation of particles like protons, neutrons, and electrons. As the universe continued to expand and cool, these particles began to form atoms, eventually leading to the formation of stars and galaxies. The Big Bang theory has been supported by a range of scientific observations and experiments, from the cosmic microwave background radiation to the relative abundance of light elements. Despite ongoing debate and refinement, it remains the prevailing scientific explanation for the origin and evolution of the universe.

In conclusion, the Big Bang theory suggests that the universe began as a singularity that rapidly expanded and eventually led to the formation of all matter and energy. This theory has been supported by a wealth of scientific evidence and remains the prevailing explanation for the origins and evolution of the universe.

To know more about Big Bang theory visit:

brainly.com/question/17209127

#SPJ11

the building block of all elements and the smallest component into which an element can be divided?
a. building blocks
b. element
c. A molecule
d. atom

Answers

The building block of all elements and the smallest component into which an element can be divided d. atom

What is the smallest energy building block?

Quarks, the universe's tiniest particles, are significantly smaller and have far greater energy levels than the protons and neutrons in which they are found.

An atom is the smallest unit of an element that retains all of its characteristics.

However, atoms include several subatomic particles, the most significant of which are protons, neutrons, and electrons.

learn more about subatomic particles

https://brainly.com/question/16847839

#SPJ1

2. If an object has two forces acting on it, how can the net force equal
0?

Answers

Answer:

if they both face each other they cancel out

Explanation:if there is one on 1 side and on the other as well they cancel out and it is 0

Answer:

If the forces are equal and the forces act in oppposite direction then the net force is equal to zero

1. the wavelength of a particular color of violet light is 414 nm. calculate the frequency of this color.

Answers

The violet color has a frequency of 7.24 x (10)^14 / sec based on the wave length provided.

What wavelength is it?

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent emblems) in the consecutive cycles. This length is typically defined in wireless systems in metres (m), centimeters (cm), or millimeters (mm) (mm).

Briefing :

we know that, f = frequency = 1/wavelength = c/λ

where c = speed of light = 299 792 458 m / s or 3 x 10^{8} m/s

and given wavelength ( λ)=414 nm

1 nm = 10^{-9} m

so, λ= 414 x 10^{-9} m

therefore f= frequency= 7.24 x (10)^14 / sec.

To know more about wavelenght visit :

https://brainly.com/question/1263539

#SPJ4

if a solution looks blue, it is absorbing light with around a 600nm wavelength. T/F?

Answers

if a solution looks blue, it is absorbing light with around a 600nm wavelength. This statement is true.

This is because the blue appearance is a result of the solution absorbing the complementary color of blue, which is in the range of 600nm, and reflecting or transmitting the blue light that our eyes perceive.

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a wave form signal propagated in space or along a wire. In wireless systems, this length is usually specified in meters (m), centimeters (cm) or millimeters (mm).In the case of infrared (IR), visible light, ultraviolet (UV), and gamma radiation (γ), the wavelength is more often specified in nanometers (nm), which are units of 10⁻⁹ m, or angstroms (Å), which are units of 10⁻¹⁰ m.

To learn more about wavelength https://brainly.com/question/10750459

#SPJ11

Calculate the total momentum of the three-sphere system if the three spheres are swung at −1.0 msto the left.

Answers

Answer:

, pfx = pix + Jx.

Explanation:

The momentum principle tells us that impulse transfers momentum to an object.

If an object has 2 kgm/s of momentum, a 1 kgm/s impulse delivered to the object

increases its momentum to 3 kgm/s. That is, pfx = pix + Jx.

Just as we did with energy, we can represent this “momentum accounting” with a

momentum bar chart. For example, the bar chart of FIGURE 11.6 represents the ball

colliding with a wall in Figure 11.4. Momentum bar charts are a tool for visualizing

an interaction

Select the generic equation suggested by a graph showing a diagonal line from the lower left to the upper right of the graph.
y = kx

y = kx2

y = k(1/x)

Answers

Answer:

y=k(1/x

Explanation:

Answer:

(A)                  y=kx

Explanation:

Calculate the kinetic energy of a 1.15 kg bowling ball rolling down the lane at 2 m/s. Include the units.

Answers

We will have the following:

\(\begin{gathered} k=\frac{1}{2}(1.15kg)(2m/s)^2\Rightarrow k=\frac{23}{10}J \\ \\ \Rightarrow k=2.3J \end{gathered}\)

So, the nergy is 2.3 J.

what is the frequency of the second overtone if the fundamental frequency is 308 hz
A. 154hz
B. 924hz
C. 308hz
D 616hz

Answers

The frequency of the second overtone if the fundamental frequency is 308 Hz is equal to 1540 Hz.

What is overtone?

An overtone can be described as any resonant frequency above the fundamental frequency of a sound. Overtones can be defined as all pitches higher than the lowest pitch within an individual sound. While the fundamental can be described as usually heard most prominently, overtones are present in any pitch except a true sine wave.

The lowest normal frequency is called the fundamental frequency, while the higher frequencies are known as overtones.

Given, the fundamental frequency, f₀ = 30 8 Hz

The relationship between the fundamental frequency and the second overtone is given by

f₂ = 5 f₀

f₂ = 5 × 308 = 1540 Hz

Learn more about overtone, here:

https://brainly.com/question/1515875

#SPJ1

How would year reult have been different if the energy tranferred between the hot object and cold water were 100% efficient explain your reaoning

Answers

The result would have been different with the temperature being constant if the energy transferred between the hot objects and cold water were 100%.

What is Temperature?

This is referred to as the degree of hotness or coldness of a substance or body and is influenced by thermal energy and the unit is Kelvin.

The process of heat transfer which is known as conduction is used in this process and some are lost to the environment or surroundings but in a situation where the energy transferred between the hot objects and cold water were 100% then there will be a constant temperature.

Read more about Temperature here brainly.com/question/25677592

#SPJ4

Two solid metal balls all have the same radius. one is made of aluminum, the other of gold. if the balls are resting at the bottom of a pool of water, which ball has the largest buoyant force?

Answers

The buoyancy force on the gold ball will be more than that of aluminum.

What is buoyancy force?

An upward force applied by a fluid against the weight of an item that is partially or totally submerged is known as upthrust, also known as buoyancy. Pressure in a fluid column increases with depth due to the weight of the fluid on top.

Given that two solid metal balls all have the same radius. one is made of aluminum, the other of gold. And the balls are resting at the bottom of a pool of water.

The buoyancy force at the bottom force will be calculated by finding the density of the balls.

Buoyancy force = Volume inside water x Density X g

Density of gold = 19.3 g / cc

Density of aluminium = 2.7 g / cc

Since the density of the gold ball is more than the density of the aluminum ball.

Therefore, the buoyancy force on the gold ball will be more than that of aluminum.

To know more about buoyancy follow

https://brainly.com/question/12788506

#SPJ1

5. This break-dancer's speed is not changing as he spins on his head, but he is
accelerating. Explain how this could be.

Answers

The direction of the break dancer is always changing hence we can say that the break dancer is accelerating.

The term acceleration means change of velocity with time. It refers to the time taken for the velocity of a body to change in a specified direction. Recall that velocity takes direction into account.

The direction of the break dancer is always changing hence we can say that the break dancer is accelerating since his direction is changing even though the speed is constant.

Learn more about acceleration: https://brainly.com/question/2437624?

What is the relationship between transit duration and orbital period?

Answers

Answer:

The length of time between each transit is the planet's "orbital period", or the length of a year on that particular planet. Not all planets have years as long as a year on the Earth! Some planets discovered by Kepler orbit around their stars so quickly that their years only last about four hours!

I hope it helps.

Answer:

lenght of year po

Explanation:

hope it helps

when climbing a steep hill, would you want a larger or smaller bicycle gear?

Answers

Answer:

Usually when climbing, it's best to be in the small front ring and the largest back ring. If your cadence is about 100 rpm, then whatever gear you're in is fine. It depends on the road, but as long as your pedaling is at a level you're comfortable with, you're fine.

Explanation:

Google answer by the way.

what is an atom with great electronegativity able to do?

Answers

An atom with great electronegativity is able to attract electrons towards itself in a chemical bond. This means that it is able to form strong covalent bonds with other atoms, and can also participate in ionic bonding by attracting electrons away from other atoms.

Additionally, an atom with high electronegativity is able to exert a greater degree of control over the distribution of charge within a molecule, making it an important factor in determining the overall reactivity and behavior of the molecule.

Electronegativity is a measure of an atom's ability to attract electrons towards itself when it is part of a chemical bond. In other words, it is a measure of an atom's ability to pull electrons away from other atoms in a molecule. Electronegativity is an important concept in chemistry, as it helps predict how atoms will behave in chemical reactions.

Electronegativity is typically measured on a scale called the Pauling scale, named after the American chemist Linus Pauling. The scale ranges from 0.7 (for the least electronegative element, francium) to 4.0 (for the most electronegative element, fluorine). Elements towards the right side of the periodic table, such as the halogens and oxygen, are generally more electronegative than elements towards the left side, such as the alkali metals.

Visit here to learn more about atom brainly.com/question/1566330

#SPJ11

a pickup truck has a width of 79.8 in. if it is traveling north at 37 m/s through a magnetic field with vertical component of 35 mt, what magnitude emf is induced between the driver and passenger sides of the truck?

Answers

EMF induced between the driver and passenger sides of truck is 2.6 mV

What is EMF?

In physics, electromotive force is the energy transfer in an electric circuit per unit of electric charge. The electromotive force may be calculated by the ratio between the work required to transport the electric charge from the lowest to the highest electric potential with the modulus of the electric charge. Thus, the formula of EMF is

E = \(\frac{W}{Q}\)

As it is a measure of the electric potential, the EMF unit in the International System (SI) is considered to be Volt (V). For magnetism it can also be calculated as: ε = Blv in tesla (T)

Given values:

L = 79.8in or 2.026m

v = 37m/s

B = 35μT or 35×10⁻⁶ T

ε = Blv

ε = 35×10⁻⁶ ×2.026×37

​ε = 2.6 mV

To know more about electromotive force visit:

https://brainly.com/question/24182555

#SPJ4




The semi major axis of an ellipse is the distance between the two foci of the ellipse. half the length of the longest diameter of the ellipse. half the length of the shortest diameter of the ellipse.

Answers

The semi-major axis of an ellipse is half the length of the longest diameter of the ellipse.

The semi-major axis of an ellipse is a fundamental parameter that determines its shape and size. It is defined as half the length of the longest diameter of the ellipse. The diameter of an ellipse is any line segment that passes through the center and has endpoints on the boundary of the ellipse. The longest diameter, also known as the major axis, is the diameter that has the largest length among all possible diameters of the ellipse.

To find the semi-major axis, we take half the length of the major axis. The major axis passes through the center of the ellipse and is the longest distance between any two points on the ellipse. By halving the length of the major axis, we obtain the semi-major axis, which represents the distance from the center to either focus of the ellipse.

The foci of an ellipse are two fixed points located on the major axis, equidistant from the center. The semi-major axis is indeed the distance between these two foci, as it is half the length of the longest diameter, which connects them. Thus, the semi-major axis provides a concise measure of the size and shape of an ellipse.

To learn more about parameter click here:

brainly.com/question/30158745

#SPJ11

(a) You wish to determine the height of the smokestack of a local coal burning power plant. You convince a member of the maintenance crew to mount the support for a simple pendulum at the top of the stack and you suspend a 1.00 kg mass that just misses the ground at its lowest point from the pendulum cord. If the period of the pendulum is 18.7 s, determine the height of the smokestack. 8455.69 Incorrect: Your answer is incorrect. What factors influence the period of a simple pendulum

Answers

Answer:

a. 86.80 m

b. i. The mass of the bob

ii. The length of the pendulum

Explanation:

a. Determine the height of the smokestack.

Using T = 2π√(L/g) where T = period of pendulum = 18.7 s, L = length of pendulum = height of smokestack and g = acceleration due to gravity = 9.8 m/s².

So, making L subject of the formula, we have

T = 2π√(L/g)

T/2π = √(L/g)

squaring both sides, we have

(T/2π)² = L/g

L = (T/2π)²g

Substituting the values of the variables into the equation, we have

L = (T/2π)²g

L = (18.7 s/2π)²(9.8 m/s²)

L = (2.976 s)²(9.8 m/s²)

L = 8.857 s² × 9.8 m/s²

L = 86.796 m

L ≅ 86.80 m

b. What factors influence the period of a simple pendulum

The factors that influence the period of a simple pendulum are

i. The mass of the bob

ii. The length of the pendulum

Other Questions
Hello! I need some help with this homework question, please? The question is posted in the image below. Q9 What is the answer?? In your OPINION do you think that the things people were dealing with (war, corruption, diseases, government, etc.) during this time of the 1300s are relevant or irrelevant in todays time? Explain your answer. brainliest if its right ANSWER ASAP PLS!Which religious practice encouraged the growth of representative government in the colonies? Which two events must happen at the same time to cause a solar eclipse A The moon passes a point where Earth is directly between the sun and the moonB The moon passes a point directly between the sun and earthC The moon is at a full-moon phase of the lunar cycleD The moon is in the new phase of the lunar cycle ts to59:49What direction can the charge move and experienceno magnetic force? Check all that apply.upO downleftOrightinto the screen What factors contributed to the rise of the Atlantic slave trade in the British colonies, and how didslavery in the southern American colonies compare to slavery in the Caribbean? A survey conducted with 50 people on the ice cream flavor they like.It was found out that 28 like chocolate,15 like mango,and 20 likes strawberry.Futhermore,8 like chocolate and strawberry,11 like mango and strawberry,7 like chocolate and mango,and 4 people like all the 3 flavors.Find the number of people who like.A.Chocolate OnlyB.Mango onlyC.Strawberry OnlyD.Chocolate and strawberryE.None of the flavors Factor and solve each quadratic equation. Show your work -t^2 + 12t = 32 if there appears to be a relationship in scatterplot 4, would you describe the linear relationship as positive or negative? foster inc. is trying to decide whether to lease or purchase a piece of equipment needed for the next ten years. the equipment would cost $48,000 to purchase, and maintenance costs would be $5,300 per year. after ten years, foster estimates it could sell the equipment for $28,000. if foster leases the equipment, it would pay $16,000 each year, which would include all maintenance costs. if the hurdle rate for foster is 12%, foster should: (future value of $1, present value of $1, future value annuity of $1, present value annuity of $1.) (use appropriate factor from the pv tables. do not round intermediate calculations. round your final answer to the nearest hundred.) multiple choice lease the equipment, as net present value of cost is about $21,500 less. buy the equipment, as net present value of cost is about $21,500 less. buy the equipment, as net present value of cost is about $48,000 less. lease the equipment, as net present value of cost is about $17,800 less. according to neoclassical economists, what will families do when government carries out a policy that increases the debt? guys someone help me asap!!!! tell me all that apply for this! A dog is pulling a 15kg sled to the right with a force of 15N. A rhino is pulling the same sled to the left with a force of 42N. There is a frictional force of 5.0N acting on the sled.Which direction is the friction acting?What is the Net Force on the sled?What is the acceleration of the sled?What is the coefficient of friction on the sled? When a balloon is rubbed against a cloth, electrons move because of:induction.friction.conduction.magnetism. ASAPPP I NEED HELPP BRAINLIESTTT Darius is observing a family of geese, which includes a male goose, female goose, and several goslings. When a dog approaches the geese, the male goose hisses at the dog and flaps its wings threateningly. Is the behavior of the male goose an example of an adaptation? * What is the distance from A to BWill give Brainliest Use the change-of-base rule to estimate the value of the logarithm to four decimal places: logs 0.902