1. A 1.15-kg block is released from rest on a frictionless inclined plane. The inclined plane forms an angle of 35° with the
ground. The block slides down the inclined plane and compresses a spring at the bottom by 3.5 cm and stops momentarily.
If 334 N are required to compress the spring by 2.4 cm, what distance has the block travelled?
>

Answers

Answer 1

Answer:

Explanation:

We can use the work-energy principle to solve this problem. The work-energy principle states that the work done on an object is equal to the change in kinetic energy of the object.

We can begin by finding the spring constant (k) of the spring. The spring constant is the force required to compress a spring by a certain distance. We can use the information given to us in the problem to find the spring constant:

k = F / x = 334 N / 0.024 m = 13,916.67 N/m

Now we can use the spring constant, the compression distance (3.5 cm) and the mass of the block (1.15 kg) to find the work done on the block as it compresses the spring:

work = 1/2 * k * x^2 = 1/2 * 13,916.67 N/m * (0.035 m)^2 = 97.4 J

Since the block is released from rest, its initial kinetic energy is zero. So, the work done on the block as it compresses the spring is equal to its final kinetic energy.

We know that the block slides down on a frictionless incline, so we need to consider the work done by gravity on the block during its motion. The work done by gravity is given by the equation:

work = force * distance * cos(theta)

where force is the force of gravity acting on the block, distance is the distance the block slides down the incline and theta is the angle of the incline with the ground.

force = m * g , where m = 1.15 kg and g = 9.8 m/s^2

distance = s

theta = 35°

substituting the values

work = (1.15 kg * 9.8 m/s^2) * s * cos(35°)

Now we can add the work done by gravity to the work done by the spring to find the total work done on the block.

work = 97.4 J + (1.15 kg * 9.8 m/s^2) * s * cos(35°) = 97.4 J + (11.37 N) * s * cos(35°)

Now we can solve for s, the distance the block travelled.

s = (97.4 J) / (11.37 N * cos(35°))

The final answer will be in meters.


Related Questions

An electrically charged object creates an electric field. The electric potential due to this object:Group of answer choicesis a vector that points either towards or away from the object, depending on the sign of the chargeis a vector that makes circular paths around the objectis a non-negative scalaris a scalar but will be positive or negative depending on the sign of the charge

Answers

Answer:

It's a scalar but will be positive or negative depending on the sign of the charge.

Explanation:

The electric potential, at a given point, can be defined as the work per unit charge needed to bring a positive test charge from infinity to this point.It's positive if the charge creating the potential is positive (because it's needed that an external force do work on the test charge against the electric field that repels the positive charge).It's negative if the charge creating the potential is negative, because in this case the field will attract the positive test charge.

Can someone help please

Answers

Answer:

The average blood speed is 0.39 m/s

Explanation:

According to Poiseuille’s law, the volume flow rate, Q (m³/s) of a fluid of

viscosity η through a tube or pipe of radius r and length L is:

Q = πr⁴ΔP/8ηL

where ΔP is the change in pressure or pressure difference of the fluid; L is length of the pipe

Also, the volume flow rate, Q, is related to the average velocity v, by the formula:

Q = Av

where A is the cross-sectional area of the pipe; A = πr²

Q = πr²v

Thus, the Poiseuille’s becomes: πr²v = πr⁴ΔP/8ηL

v = r²ΔP/8ηL

From the given values:

r = 2.5 mm = 0.0025 m

L = 15 cm = 0.15 m

ΔP = 380 Pa

η = 5 * 10⁻³ Pa.s

substituting the given values in the equation

v = {(0.0025)² * 380} / (8 * 5 * 10⁻³ * 0.15)

v = 0.39 m/s

Therefore, the average blood speed is 0.39 m/s

I need help on a homework question.

Chris shines a white light onto a surface, and the surface appears to be green. What color will the surface appear if he shines a combination of blue and green light on the surface?

A. brown
B. white
C. green
D. black

Answers

Answer:

green

Explanation:

the the board is going to be green

Answer:

The surface will appear green if he shines the combination of blue and green light.

Explanation:

When Chris shines white light on the surface it appears green it means the surface is scattering only green light.it is called scattering of light.The material of the surface is absorbing rest of the colors.What is scattering of light ?

When light passes through a medium , the particles of the medium or surface allows to reflect only a particular color ( wavelength), this phenomenon is called scattering of light.

Hence the surface will appear green .

Read it also for better understanding:-

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Example 2.1
A car travels at an average speed of 100 kmh-1
what distance does it cover in 5 minutes?​

Answers

Answer:

5 min 20 km --------

Explanation:

5 min 20 km --------

Write the laws of reflection​

Answers

Answer:

i) Angle of Reflection = Angle of Incident

ii) Total Angle = 2x Angle of reflection/incidence

iii) The incident ray, reflected ray and the point of incidence lie in the same plane

Hope it helped u,

pls mark as the brainliest        - Ayaan707 for help :) -

^_^

Tyler and Jim race each other up a mountain on their bicycles. Tyler rides a road bike on the switchbacks of the twisting and turning mountain road. Jim rides a mountain bike and follows a direct, but steeper, straight-line path up the mountain. They start at the same time and place at the bottom of the mountain and finish at the same time and place at the top of the mountain. From start to finish a. whose distance traveled was longer? b. whose displacement was longer? c. which rider had the faster average speed? d. which rider had the faster average velocity? e. who won the race?

Answers

Answer:

Explanation:

Displacement is minimum distance between initial and final point .

Distance is total length of path covered in a journey .

a )

Tyler covered a longer distance in the journey because total length of path covered by him is longer due to curved path .

b )

Both have same displacement , because minimum distance between initial and final point in both the case is same .

c )

average speed = distance / time

as time is same for both the case ,

average speed ∝ distance

As distance covered by Tyler is more , his average  speed is more .

d )

average velocity = displacement / time

As both displacement and time are same in both the case , average velocity in both the case is same .

e )

They start at the same time and place at the bottom of the mountain and finish at the same time , both have tie and nobody won the race , in spite of speed of Tyler being greater  .

1. A wheel with spokes of length r has four masses
attached at various points where the spokes intersect the
circumference of the wheel. The wheel and spokes are
massless and spokes are all 30° apart. Determine the net
torque on the wheel.
(A) Zero (B) 22 (C) 13/2
(D) 1

Answers

I can help here 20 q 45

Select the correct answer.
The oceanic Nazca plate is being subducted beneath the continental South American plate. Which type of plate boundary is this?
OA continental-oceanic convergent
ОВ. oceanic-oceanic convergent
OC divergent
OD. strike-slip
ОЕ.
transform
Reset
Next

Answers

Answer:

A. continental-oceanic convergent

Explanation:

I knew it couldn't be B because it's oceanic and continental, not oceanic and oceanic.

Next, I noticed the word convergent, which implies "coming together" to me.

I looked it up and noticed the term convergent referred to a plate boundary where a plate slips under (subducted) another, so I knew it was A.

Hopefully, this helps you understand the question better. Have a great day!

Young David who slew Goliath experimented with slings before tackling the giant. He found that he could revolve a sling of length 0.600 m at the rate of 5.00 rev/s. If he increased the length to 0.900 m, he could revolve the sling only 3.00 times per second. (a) What is the speed of the stone for each rate of rotation

Answers

Answer:

Explanation:

For circular motion of stone the formula is

v = ω R where ω is angular velocity , v is linear velocity .

For first motion ,

R = length of sling = .6 m

ω = 2π n , n is no of revolution per second

ω = 2 x 3.14 x 5 = 31.4 rad /s

v = 31.4 x .6 = 18.84 m /s

For second  motion ,

R = length of sling = .9 m

ω = 2π n , n is no of revolution per second

ω = 2 x 3.14 x 5 = 31.4 rad /s

v = 31.4 x .9 = 28.26  m /s

Help with both questions I’ll mark brainliest

Answers

Answer:

gas, liquid, solid

sound cannot travel in space

Answer:

1. gas , liquid , gas

2.sound cannot travel in space

The steepness of a line on a graph is called the
O A. rise
OB. slope
C.
run
D. verticle axis

Answers

Answer:

slope

Explanation:

The slope is how how steep the line is.

Hrhrhebbsbsbsbbdbfbbfbfbdbdndndndndndndndndn Slope

A question to think about on units: Suppose we wanted to exchange scientific information with a newly discovered species of intelligent life living on a planet orbiting the star Alpha Centauri. And suppose that our new friends have managed to become fluent in our language, but have not yet had the opportunity to visit the Earth. Which of the following statements would they understand?

a. The mass of the electron is 9.10938188 x 10^-31.
b. The speed of light is 2.99792458 x 10^8 meters/second.
c. The ratio of the proton's mass to the electron's mass is 1836.153. Explain your reasoning

Answers

Answer:

b. The speed of light is 2.99792458 x 10^8 meters/second.

Explanation:

Speed of light is a universal constant and its value is same throughout the universe . So alien living near Alpha Centauri will quickly understand about it . But other statements are not universal . Mass of electron can vary  as per relativistic formula of Einstein . Similarly , mass of proton can also vary according to relativistic concept . It depends upon the velocity of particle . So, the ratio of mass of proton and mass of electron will also vary from one star to another .

HELP ITS FOR SCIENCE
1. Explain why a wrecking ball can destroy a building, but a yo-yo can’t. Use the term kinetic energy in your explanation.

2. How is speed related to kinetic energy?

Answers

Answer:

A wrecking ball has the capability to destroy a building due to the greater mass and kinetic energy than the yo-yo.

Which 5 are examples of locomotor movements? Select all that apply.
Question 1 options:

Hopping

Galloping

Sitting

Sleeping

Walking

Running

Skipping

Eating

Answers

Answer:

Five examples of locomotor movements are:

Hopping

Galloping

Walking

Running

Skipping

Explanation:

I hope it helps ❤❤

1 What is a vector field?





2 How do you know that potential energy is converted into kinetic energy in certain force fields?





3 What is the rule on electric charges attracting or repelling?
Opposites attract, equals repel



4 How can atoms use electric charges to bond?




5 Where is the potential energy of a magnet stored?




6 How can you tell which pole is the north and which pole is the south in a magnet?





7 How can you increase the potential energy of a magnetic field?




8 If you have two charges alone in space, what will they do to each other?



9 What must occur in magnets to have it generate a magnetic field?




10 What is an electromagnet? A magnet that is made from metal and electrified and with a coil

Answers

Answer:

1. a vector field is an assignment of a vector to each point in a subset of space.

2. The direct answer is that it happens through Newton’s second law. If an object is in a potential field that is different at different points in space, then the object will experience a force in the direction in which the potential energy decreases. Newton’s second law says that a force causes a change in motion, which changes the kinetic energy.

3. According to Coulomb, the electric force for charges at rest has the following properties: Like charges repel each other; unlike charges attract. Thus, two negative charges repel one another, while a positive charge attracts a negative charge. The attraction or repulsion acts along the line between the two charges.

4. Ions are charged atoms that form when an atom donates or accepts one or more negatively charged electrons. Cations (ions with a positive charge) are attracted to anions (ions with a negative charge). This attraction is called an ionic bond.

5. Magnetic Field

Hope it Helps!!!!

Atoms of which pair of elements will form covalent bonds in a compound? ASAP PLZ

A. Li and Al
B. C and O
C. Co and Fe
D. Na and F

Answers

Answer:B

Explanation:

C and O

Atoms of C and O pair of elements will form covalent bonds in a compound.Therefore the correct option is B.

What is a Chemical compound?

The chemical compound is a combination of two or more  either similar or dissimilar chemical elements

for example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.

These chemical compounds are formed because of different types of bonds between the constituents elements ,the chemical bonds are mainly ionic bonds, covalent bonds,s, and hydrogen bonds.

Ionic bonds are formed due to the transfer of electrons between two bond forming pairs differentiated by their electronegativity.

Covalent bonds are formed by the sharing of electrons.Generally organic compound are formed as the reason of covalent bonds.

The carbon and oxygen atoms share their valence electrons to form a covalent bond, therefore the correct option is B.

Learn more about a chemical compound from here

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2. The storage in a river reach at a specified time is 3 hectare-meters. At the same instant, the inflow to the reach is 15 m3/s and the outflow is 20 m3/s. One hour later, the inflow is 20 m3/s and the outflow is 20.5 m3/s. Determine the change in storage in the reach that occurred, during the hour. What is the storage at the end of the hour? (1 hectare = 10000 m2).

Answers

Answer:

The change in storage in the reach that occurred, during the hour  = 43200 m3

The storage at the end of the hour = 129600 m3

Explanation:

Given

Storage =  3 hectare-meters

Inflow volume = 15 m3/s

Outflow volume = 20 m3/s

Storage in one hour of change

Inflow volume = 20 m3/s

Outflow volume = 20.5 m3/s

Outflow volume - Inflow volume = 0.5 m3/s = 0.5 * 24*60 * 60 = 43200 m3

Storage at the end of one hour

43200 m3 + (20-15) * 24*60 * 60 = 129600 m3

The name of the SI unit for magnetic field strength, such as that created around a current-carrying wire, is the
.

Answers

Tesla. SI

The unit of magnetic field is tesla. It is the SI unit of magnetic field. Magnetic field is the measure of magnetic flux (Φ) per unit area. 1tesla=1wb/m
2
.

The name of the SI unit for magnetic field strength is Tesla. Magnetic fields are formed by moving electric charges.

What is Magnetic field strength?

Magnetic field strength alludes to an actual amount that is utilized as one of the essential proportions of the power of the attractive field.

The SI unit of attractive field is tesla (T). 1 Tesla is defined as the magnetic field that carries 1C charge at the speed of 1m/s which is perpendicular to the force of 1 N.

Find more information about magnetic field strength here:

brainly.com/question/18651668

Question 15 of 25
What is the period of a wave that has a frequency of 30 Hz?

Answers

Answer:

0.033 seconds

Explanation:

Period = 1/30 = 0.033 seconds

Answer:

The answer is 0.03 s

Explanation:

A.P.E.X.

convert 0.0345mW
to MW​

Answers

Answer:

3.45e-11MV

that is ur answer

A 150.0 g baseball has a velocity of 28.5 m/s. What is its kinetic energy in J

Answers

Answer:

KE = 60.91875 J

Explanation:

First, convert the mass of the ball into kg, since we want the answer in J (SI system):

150 g = 0.15 kg

then use the kinetic energy formula

[tex]KE=\frac{1}{2} m*v^{2} \\KE=\frac{1}{2} (0.15)*(28.5)^{2}\\KE=60.91875 J[/tex]

a 6.25-gram bullet traveling at 365 ms strikes and enters a 4.50-kg crate. The crate slides 0.15 m along a wood floor until it comes to rest. What is the change in kinetic energy of the system after the collision

Answers

Answer:

the change in kinetic energy of the system is 0.577 J

Explanation:

Given;

mass of the bullet, m₁ = 6.25 g = 0.00625 kg

initial velocity of the bullet, u₁ = 365 m/s

mass of the crate, m₂ = 4.5 kg

initial velocity of the crate, u₂ = 0

distance moved by the system after collision, d = 0.15 m

Determine the final velocity of the system after collision;

m₁u₁ + m₂u₂ = v (m₁ + m₂)

0.00625 x 365 + 4.5 x 0 = v(0.00625 + 4.5)

2.2813 + 0 = v(4.5063)

2.2813 =  v(4.5063)

v = 2.2813 / 4.5063

v = 0.506 m/s

The change in kinetic energy of the system after collision is calculated as;

ΔK.E = ¹/₂ (m₁ + m₂)v²

ΔK.E =  ¹/₂ (4.506) x 0.506²

ΔK.E = 0.577 J

Therefore, the change in kinetic energy of the system is 0.577 J

Energy Transformation and Conservation

Explain how different forms of energy are related.

Answers

Answer:

Energy transformation is when energy changes from one form to another – like in a hydroelectric dam that transforms the kinetic energy of water into electrical energy. While energy can be transferred or transformed, the total amount of energy does not change – this is called energy conservation.

Explanation:

4. What is the acceleration of the car in each section?
b
с
d
a

Answers

Answer:

0-4 acceleration comes at 12 m/s where (B) stagnates at 12 m/s and remains for 4 seconds (C) is breaks being activated slowing the car to 6 m/s in 2 seconds and (D) over the course of 4 seconds brings the car to 10 m/s.

Explanation:

Acceleration is the slope of a velocity time graph.

Units are all m/s ^2

a) 3
b) 0
c) -3
d) 1 - doesn’t LOOK like a slope of 1, but if you look carefully at the Y axis, you can see it rises by 4 rather than 2.

A proton accelerates from rest in a uniform electric field of 664 N/C. At some later time, its speed is 1.46 106 m/s. (a) Find the magnitude of the acceleration of the proton. m/s2 (b) How long does it take the proton to reach this speed? µs (c) How far has it moved in that interval? m (d) What is its kinetic energy at the later time? J

Answers

Answer:

Explanation:

In an electric field E force on charge q

F = Eq , acceleration a = Eq / m

a = 664 x 1.6 x 10⁻¹⁹ / 1.67 x 10⁻²⁷

= 636.16 x 10⁸ m /s²

b )

initial velocity u = 0

final velocity v = 1.46 x 10⁶ m/s

v = u + at

1.46 x 10⁶ = 0 + 636.16 x 10⁸ x t

t = 2.29 x 10⁻⁵ s

c )

s = ut + 1/2 a t²

= 0 + .5 x 636.16 x 10⁸ x (  2.29 x 10⁻⁵ )²

= 1668 x 10⁻²

= 16.68 m

d )

Kinetic energy = 1/2 m v²

= .5 x 1.67 x 10⁻²⁷ x ( 1.46 x 10⁶ )²

= 1.78 x 10⁻¹⁵ J .

Estimate the constant rate of withdrawal (in m3 /s) from a 1375 ha reservoir in a month of 30 days during which the reservoir level dropped by 0.75 m in spite of an average inflow into the reservoir of 0.5 Mm3 /day. During the month, the average seepage loss from the reservoir was 2.5 cm, total precipitation on the reservoir was 18.5 cm and the total evaporation was 9.5 cm

Answers

Answer:

Explanation:

1 ha = 10⁴ m²

1375 ha = 1375 x 10⁴ m² = 13.75 x 10⁶ m²

In flow in a month = .5 x 10⁶ x 30 m³ = 15 x 10⁶ m³

Net inflow after all loss = 18.5 - 9.5 - 2.5 cm = 6.5 cm = .065 m

Net inflow in volume = 13.75 x 10⁶ x .065 m³= .89375 x 10⁶ m³

Let Q be the withdrawal in m³

Q - 15 x 10⁶ - .89375 x 10⁶ = 13.75 x 10⁶ x .75 = 10.3125 x 10⁶

Q = 26.20 x 10⁶ m³

rate of withdrawal per second

= 26.20 x 10⁶ / 30 x 24 x 60 x 60

= 26.20 x 10⁶ / 2.592 x 10⁶

= 10.11 m³ / s

The rate of withdrawal is 10.11 cubic meter per second

Given-

Total reservoir is 1375 hectare. which is equal to [tex]1375\times 10^4[/tex] meter square.

The average seepage loss from the reservoir is 2.85 cm or 0.0285 m.

Total precipitation on the reservoir is 18.5 cm or 0.185 m.

Total evaporation is 9.5 cm or 0.085 m.

The average inflow into the reservoir is [tex]0.5\times10^6[/tex] cubic meter per day.

The total inflow in a month can be calculate is

[tex]=0.5\times 30=1500\times10^4[/tex]

Net inflow is equal to the total precipitation on the reservoir subtract by all the losses.It can be represent as,

[tex]Q_{net}=0.185 - 0.095 - 0.025[/tex]

[tex]Q_{net}=0.065[/tex]

Total volume inflow is equal to the product of net inflow and total reservoir,

[tex]V_{net} =1375\times 10^4\times Q_{net}[/tex]

[tex]V_{net} =1375\times 10^4\times 0.065[/tex]

[tex]V_{net} =89.375[/tex]

The constant rate of withdrawal in cubic meter can be calculated by adding the net inflow in a month, total volume inflow and the reservoir.

[tex]Q=1375\times 10^4\times 0.75+89.375\times 10^4+1500\times10^4[/tex]

[tex]Q=2620\times10^4[/tex]

For per second withdrawal,

[tex]Q=\dfrac{2620\times10^4}{30\times24\times60\times60}[/tex]

[tex]Q=10.11[/tex]

Hence, the rate of withdrawal is 10.11 cubic meter per second.

For more about the flow, follow the link below,

https://brainly.com/question/1410288

*How much energy is
transferred in lifting a 5 kg
Mass 3m​

Answers

Answer:

147 J

Explanation:

The energy transferred to potential energy is :

U = m * g * h = (5 kg) * (9.8 m/s^2) * (3 m) = 147 J

Scientists have investigated how quickly hoverflies start beating their wings when dropped both in complete darkness and in a lighted environment. Starting from rest, the insects were dropped from the top of a 50 - cm tall box. In the light, those flies that began flying 200 m s after being dropped avoided hitting the bottom of the box 87 % of the time, while those in the dark avoided hitting only 25 % of the time.

Required:
a. How far would a fly have fallen in the 200 ms before it began to beat its wings?
b. How long would it take for a fly to hit the bottom if it never began to fly? In seconds.

Answers

Answer:

Explanation:

a )

Hoverfly will fall with acceleration equal to g .

Initial velocity of fall of hoverflies u = 0

displacement ( vertical ) h = ?

time t = 0.2 s

acceleration due to gravity g = 9.8 m / s²

h = ut + 1/2 g t²

= 0 + .5 x 9.8 x .2²

= .196 m

= 19.6 cm

b )

Time taken to fall by 50 cm or 0.5 m under free fall from initial position .

.5 = 0 + .5 x 9.8 t²

t² = .1020

t = .319 s = 319 ms .

A child holds a sled at rest on frictionless snow covered hill. if the sled weighs 77N,find the force T exerted by the rope on the sled and the force n exerted by the hill on the sled​

Answers

Answer:62

Explanation:

The weight of the sled is 77 N. The force by the hill on the sled is equal to its weight that is 77 N. Then the tension force exerted by the rope on the sled is being 77N sin θ, where θ be the angle of inclination.

What is force?

Force is an external agent acting on an object to change its motion or to deform it. There are various kinds of force like magnetic force, tension force, frictional force, gravitational force etc.

The weight that an object experience on earth is due to the gravitational force. The force that is exerted by a rope on an object is tension force since it is pulling from a side.

The normal force by the hill on the sled is equal to its weight that is 77 N. The tension force on the sled by the rope is dependent on the angle of inclination θ. If know the angle we can find T by the equation:

T = 77 sin θ.

Find more on tension force:

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a surfer talks about riding a 20-foot wave. Which measurement of waves is the surfer describing?

frequency
amplitude
wavelength
speed

60 POINTS!!

Answers

Frequency I think that’s correct

Answer:

C. Amplitude

Explanation: Amplitude is the maximum displacement from the equilibrium of a wave. Basically the height.   

Other Questions
In power and breadth of influence, no other microsystem context equals theA. SchoolB. ChurchC. FamilyD. Peer Group rank the nitrogen atoms in isoniazid in order of increasing basicity. isoniazid is a drug used to treat tuberculosis. refer to table 6.4, which shows a utility schedule for a consumers consumption of chocolate bars. marginal utility decreases after the consuming the _____ bar. Which statement is true?a) When an argument is passed call by reference, a copy of the argument's value is made and passed to the called function.b) With call by reference, changes to the passed value do not affect the original variable's value in the calling functions.c) Call by value should be used whenever the called function does not need to modify the value of the caller's original value.d) Call by value should only be used with trusted called functions that need to modify the original variable. Which brain area is associated with the behavioral activation system and a tendency to approach?A) The right hemisphereB) The left hemisphereC) The amygdalaD) The hippocampus A landscaping contract that calls for periodic landscaping over the course of 5 months in exchange for $600 must be in writing in order to be enforceable.a. Trueb. False A reverse stock splitoccurs when a company wants to increase the price of its common stock because the market hasn't recognized the improvements the company has made in achieving profitability.means the company exchanges fewer new shares in place of more older shares.eliminates any previous stock dividend.is more popular in bull markets than in bear markets. what is the wavelength (in meters) of an am station radio wave of frequency 550 khz ? what would likely happen in a monopolistically competitive market if five firms engaged in collusion? ____: federal grants for specific purposes, such as building an airport or a school Consider a graph with paper on the x-axis and pencils on the y-axis. If income increases, then (select all that apply):1. the budget constraint will become steeper (the absolute value of the slope will increase).2. the budget constraint will become flatter (the absolute value of the slope will decrease).3. the slope of the budget constraint will not change.4. the x-intercept will increase.5. the x-intercept will decrease.6. the x-intercept will not change.7. the y-intercept will increase.8. the y-intercept will decrease.9. the y-intercept will not change. in the story The Law of Life by Jack London PART A: What is "the law," according to the text? A-The law is the law of time, in which the older one lives the more likely one will lose others. B- The law is the law of nature, in that all things must eventually die. C-The law is the law of survival, that those who do their duty will survive. D- The law is survival of the fittest, in that nature is indifferent to fairness. Write a balanced chemical reaction, complete ionic equation and net ionic equation for the following equations Roughly 20% (1 in 5) of Americans have a functional disability that inhibits their mobility. A historical district estimated that roughly 50% of it is buildings met accessibility requirements. An independent review team showed that of 100 randomly selected buildings, 46 met standards. Create a 95% confidence interval. Do we have evidence that the districts estimation was correct?Group of answer choicesYes, because 20% falls on the intervalNo, because 46% is not close to 20%Yes, because 50% falls on the intervalNo, because 46% is not close to 50% Kevin mixed 8 ounces of yellow paint for every 3 ounces of white paint, how many ounces of white paint wpuld be mixed with 24 ounces of yellow paint? using 1994 Herbie Hancock "Butterfly" and 2010 Gretchen Parlato "Butterfly"Create a timeline that lists the order of the major musical events in each song (i.e. main melody, introduction, solo by saxophone, solo by guitar, etc). You need to include time markers as part of this portion. Each entry should look like this: :00-:23 Peppy intro with trombone, piano, bass and drums. In the accounting cycle, if the two totals of the trial balance are NOT equal, it could be due to the following type of error:a. failure to record a transaction of post a transaction.b. recording the same erroneous amount for both debit and credit parts of a transaction.c. error in determining the account balances, such as a balance being incorrectly computed.d. recording the same transaction more than once. .46) draw the major product of the following reaction mechanism: Cl2+, H2O47) draw the major product of the following reaction mechanism: Br2, CH2Cl248) draw the major product of the following reaction mechanism not needed: CH3CO3H49) Draw the product of the following reaction not needed: O3, (CH3)2S m m = 5logd 5 (you will be given this formula and expected to use it to calculate distance given apparent magnitude and absolute magnitude.) Describe the location of point (7, 6, 4) in three-dimensional coordinate space.