PLEASE HELP.


How does the motion of our solar system compare to the motion of the Milky Way?

Answers

Answer 1

The Solar System moves through the galaxy with about a 60° angle between the galactic plane and the planetary orbital plane. The Sun appears to move up-and-down and in-and-out with respect to the rest of the galaxy as it revolves around the Milky Way and
This speed is not unusual for the stars around us and is our “milling around” speed in our suburban part of the Galaxy. In addition to the individual motions of the stars within it, the entire Galaxy is in spinning motion like an enormous pinwheel.

Related Questions

a force of 100.0N is appliesd to an object of mass 85.0kg. what is the object acceleration

Answers

Answer:

1.18 m/s²

Explanation:

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

[tex]a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{100}{85} = \frac{20}{17} \\ = 1.176470...[/tex]

We have the final answer as

1.18 m/s²

Hope this helps you

Upon being struck by 240-nm photons, a metal ejects electrons with a maximum kinetic energy of 2.97 eV. What is the work function of this metal?

Answers

Answer:

Work Function = 3.53 x 10⁻¹⁹ J = 2.2 eV

Explanation:

The work function of the metal metal can be found as follows:

Energy of Photon = Work Function + K.E

hc/λ = Work Function + K.E

Work Function = hc/λ - K.E

where,

h = Plank's Constant = 6.625 x 10⁻³⁴ J.s

c = speed of light  = 3 x 10⁸ m/s

λ = wavelength of photons = 240 nm = 2.4 x 10⁻⁷ m

K.E = Maximum Kinetic Energy = (2.97 eV)(1.6 x 10⁻¹⁹ J/1 eV) =  4.752 x 10⁻¹⁹ J

Therefore,

Work Function = (6.625 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(2.4 x 10⁻⁷ m) - 4.752 x 10⁻¹⁹ J

Work Function = 8.281 x 10⁻¹⁹ J - 4.752 x 10⁻¹⁹ J

Work Function = 3.53 x 10⁻¹⁹ J = 2.2 eV

A wheel turns through 5.5 revolutions while being accelerated from rest at 20rpm/s.(a) What is the final angular speed ? (b) How long does it take to turn the 5.5 revolutions?

Answers

Answer:

(a) The final angular speed is 12.05 rad/s

(b) The time taken to turn 5.5 revolutions is 5.74 s

Explanation:

Given;

number of revolutions, θ = 5.5 revolutions

acceleration of the wheel, α = 20 rpm/s

number of revolutions in radian is given as;

θ = 5.5 x 2π = 34.562 rad

angular acceleration in rad/s² is given as;

[tex]\alpha = \frac{20 \ rev}{min} *\frac{1}{s} *(\frac{2\pi \ rad}{1 \ rev } *\frac{1 \ min}{60 \ s}) \\\\\alpha = 2.1 \ rad/s^2[/tex]

(a)

The final angular speed is given as;

[tex]\omega _f^2 = \omega_i ^2 + 2\alpha \theta\\\\\omega _f^2 = 0 + 2\alpha \theta\\\\\omega _f^2 = 2\alpha \theta\\\\\omega _f = \sqrt{2\alpha \theta}\\\\ \omega _f = \sqrt{2(2.1) (34.562)}\\\\ \omega _f = 12.05 \ rad/s[/tex]

(b) the time taken to turn 5.5 revolutions is given as

[tex]\omega _f = \omega _i + \alpha t\\\\12.05 = 0 + 2.1t\\\\t = \frac{12.05}{2.1} \\\\t = 5.74 \ s[/tex]

A circular coil of 185 turns and radius 4.50 cm is placed inside and coaxial to a solenoid with 350 turns/m. If the current in the solenoid is represented by the equation I = a(1 − e−bt) where a = 12.5 A and b = 2.10 s−1, determine the magnitude of the induced emf in the coil when t = 1.50 s.

Answers

Answer:

Magnitude of the induced emf is 11.62 V

Explanation:

Given:

No. of turns of the circular coil, N=185

Radius, R=4.50 cm=0.045 m

No. of turns of solenoid per meter(m), n=350

a=12.5 A

b=2.10 [tex]s^{-1}[/tex]

Now,

To determine the emf induced in the coil at t = 1.50 s:

The given equation is:

[tex]I=a(1-e^{-bt})[/tex]

Now,

[tex]B=\mu_{o}nI=\mu_{o}na(1-e^{-bt})[/tex]

[tex]\frac{dB}{dt}=\mu_{o}nabe^{-bt}[/tex]

Now, substituting the respective values:

[tex]\frac{dB}{dt}=-4\pi\times 10^{-7}\times 350\times 12.5\times 2.10e^{-2.10\times 1.50}[/tex]

[tex]\frac{dB}{dt}=0.988\ T/s[/tex]

Now,

[tex]emf=NA\frac{dB}{dt}[/tex]

where,

A=Area=[tex]\pi R^{2}[/tex]

Thus,

[tex]emf=185\times \pi\times (4.50\times 10^{-2})^{2}\times 11.545e^{-3.15}[/tex]

[tex]emf=11.62 V[/tex]

Identify the following compounds as polar covalent or nonpolar covalent: HBr, Cl2, and H2O.

Answers

Answer:

HBr- polar covalent

Cl2 - nonpolar covalent

H2O - polar covalent

Explanation:

Covalent bonds are chemical bonds that holds atoms of elements in such a way that electrons are shared between the atoms. However, based on the electronegativity differences between elements, compounds can either be polar covalent or nonpolar covalent.

Polar covalent bonds are formed when electrons are unevenly shared between two atoms based on difference in their electronegativities i.e. the more electronegative atom pulls more of the electrons. For example, in the case of HBr and H2O, Bromine and Oxygen atoms are more electronegative, hence, they pull more electrons making the electron sharing unequal, hence, a POLAR COVALENT BOND forms.

Non polar covalent bonds, contrarily, occurs when electrons are shared equally or evenly. This is so because the atoms of the elements involved have the same electronegativity. For example, Cl2 contains two atoms of Chlorine (Cl), which has the same electronegativity, hence, electrons between the two atoms are shared equally to form a NONPOLAR COVALENT BOND

HBr is polar covalent, Cl₂ - nonpolar covalent and H₂O is polar covalent in nature.

What is a polar covalent bond?

When atoms with differing electronegativities share electrons in a covalent link, the result is a polar covalent bond.

Consider the molecule of hydrogen chloride (HCl). In order to generate an inert gas electron configuration, each atom in HCl requires one extra electron.

Covalent bonds are chemical bonds that keep atoms of different elements together while sharing electrons.

Compounds can be polar covalent or nonpolar covalent depending on the electronegativity variations between components.

When electrons are unevenly divided between two atoms due to differences in their electronegativities, polar covalent connections are created.

The more electronegative atom draws more electrons. In the case of HBr and H2O, for example, the Bromine and Oxygen atoms are more electronegative,

Therefore they draw more electrons, causing the electron sharing to be uneven, resulting in the formation of a polar covalent bond.

Hence HBr is polar covalent, Cl₂ - nonpolar covalent and H₂O is polar covalent in nature.

To learn more about the polar covalent bond refer to the link;

https://brainly.com/question/10777799

A force of 10 newtons toward the right is exerted on a

wooden crate initially moving to the right on a horizontal

wooden floor. The crate weighs 25 newtons.


1. Calculate the magnitude of the force of friction between the crate and the floor.


2. What is the magnitude of the net force acting on the crate?

Answers

Answer:

Explanation:

coefficient of kinetic friction of wooden floor μ = .4

force of friction = μ R , R is reaction force of floor

R = mg = weight of body

R = 25 N

force of friction = .4 x 25 = 10 N

Net force on the crate = 10 - 10 = zero .

Net force on the body will be nil.

I need help with this science work

Answers

Do you need atomic numbers or a deviations? I’m confused

I will give u brainliest if u give me brainliest

Answers

Answer:

ok

  ukjh

Explanation:

Answer:

okay

When three people with a total mass of 2.00 x 102 kg step into their 1.200 x 103 kg car, the car’s

springs are compressed by 3.0 cm.

1.2.a. What is the spring constant of the car’s springs assuming they act as a single spring?
1.2.b. How far will the car lower if loaded with 3.00 x 102 kg rather than 2.00 x 102 kg​

Answers

Answer:

a

 [tex]k = 457333.3 N/m[/tex]

b

[tex]x_a =0.09\ m[/tex]      

Explanation:

From the question we are told that

    The total mass of  three people is  [tex]M = 2.00*10^{2} \ kg[/tex]

     The mass of the car is  [tex]m_c = 1.200 *10^{3} \ kg[/tex]

     The compression of the car spring is  [tex]x = 3 \ cm = 0.03 \ m[/tex]

     

Generally the spring constant is mathematically represented as

          [tex]k = \frac{F}{x}[/tex]

Here F is the force exerted by the mass of three people and that of the car , this is mathematically represented as        

=>       [tex]F = (M +m_c) *g[/tex]

=>       [tex]F = ([2.0*10^{2} ]+[ 1.200*10^{3}]) * 9.8[/tex]

=>       [tex]F = 13720 \ N[/tex]

So

        [tex]k = \frac{13720}{0.03}[/tex]

=>     [tex]k = 457333.3 N/m[/tex]

Generally if the mass which the car is loaded with is  [tex]m = 3.00*10^{2} \ kg[/tex]

Then the force experienced by the spring is  

         =>       [tex]F_a = (m +m_c) *g[/tex]

         =>       [tex]F_a = (3.00*10^{3} + 1.200 *10^{3}) * 9.8[/tex]

         =>       [tex]F_a = 41160 \ N[/tex]

Generally from the above formula the compression is  

       [tex]x_a = \frac{F_a}{k}[/tex]

=>    [tex]x_a = \frac{41160}{457333.3}[/tex]

=>    [tex]x_a =0.09\ m[/tex]      

When a box is placed on an inclined surface with no friction, it will:

Answers

Answer: With no friction, the box will accelerate down the ramp

Explanation:

It will gain speed down the ramp

A 2 kg toy car moves at a speed of 5 m/s.
What is the kinetic energy of the car?

Answers

Answer:

The answer is 25 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]KE = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]KE = \frac{1}{2} \times 2 \times {5}^{2} \\ = 1 \times {5}^{2} [/tex]

We have the final answer as

25 J

Hope this helps you

A ball of mass 0.500 kg is carefully balanced on a shelf that is 2.70 m above the ground. What is its gravitational potential energy

Answers

Answer:

The gravitational potential energy of the ball is 13.23 J.

Explanation:

Given;

mass of the ball, m = 0.5 kg

height of the shelf, h = 2.7 m

The gravitational potential energy is given by;

P.E = mgh

where;

m is mass of the ball

g is acceleration due to gravity = 9.8 m/s²

h is height of the ball

Substitute the givens and solve for gravitational potential energy;

PE = (0.5 x 9.8 x 2.7)

P.E = 13.23 J

Therefore, the gravitational potential energy of the ball is 13.23 J.

Which best describes a characteristic of an adiabatic process?

Answers

Answer:

Can you please provide the choices? For now this is all I can give you.

Explanation:

In thermodynamics, an adiabatic process is a type of thermodynamic process which occurs without transferring heat or mass between the system and its surroundings.Unlike an isothermal process, an adiabatic process transfers energy to the surroundings only as work. It also conceptually supports the theory used to explain the first law of thermodynamics and is therefore a key thermodynamic concept.

The system takes in heat but does not release it. If an adiabatic process is reversible, there is no change in entropy; otherwise, there is a rise in entropy, or degree of disorder.

What is adiabatic process?

A thermodynamic process known as an adiabatic process takes place when there is no exchange of mass or heat between the system and its surroundings.

An adiabatic process only transfers energy to the environment as work, in contrast to an isothermal process.

The system's overall heat remains constant since there is no heat exchange with the environment.

It is a fundamental idea in thermodynamics and theoretically supports the theory that underlies the first law of thermodynamics.

Therefore, no heat flow in and out of system, which is a characteristic of an adiabatic process.

Learn more about adiabatic process here:

https://brainly.com/question/11938296

#SPJ6

I REALLY NEED HELP!!! I WILL EVEN VENMO!

The free-body diagram shown above represents a car being pulled by a towing cable. In the diagram what is the gravitational force acting on the car?
I NEED WORK SHOWN!!!

Answers

Answer:

can u buy me a giftcard ill have this done in no time

Explanation:

I think it’s would be gravity and normal force but I am not sure

what happens to the grvatational fore between two objects as they move fartger apart

Answers

Answer:

♡ madeline here ♡

heres your answer

This force of gravitational attraction

is depending on the masses of both

objects and contrarily corresponding

to the square of the distance that divided

their middle parts. This means that as you

move away from an object the gravitational

force lowers. i hope i could help you! ☆

have a great day!

- madeline/madi ✧・゚: *✧・゚:・゚✧*:・゚✧・゚

Explanation:

Suppose you have a coffee mug with a circular cross section and vertical sides (uniform radius). What is its inside radius if it holds 370 g of coffee when filled to a depth of 5.50 cm?

Answers

Answer:

r = 4.62 cm

Explanation:

Mass of a coffee, m = 370 g

Height of the mug, h = 5.5 cm

We need to find the inside radius of the mug. Density of an object is equal to the mass per unit volume. It can be given by :

[tex]d=\dfrac{m}{V}\\\\d=\dfrac{m}{\pi r^2 h}\\\\r=\sqrt{\dfrac{m}{\pi dh}}\\\\r=\sqrt{\dfrac{370\ g}{\pi \times 1\ g/cm^3\times 5.5\ cm}}\\\\r=4.62\ cm[/tex]

So, the inside radius is 4.62 cm.

A boy on a bicycle rides in a circle of radius ro at speed vo. If the boy now rides at a radius equal to half the initial radius ro, by what approximate factor must he change his speed in order to have the same radial acceleration

Answers

Answer:

The speed must change by [tex]\frac{1}{\sqrt{2}}[/tex] factor in order to have the same radial acceleration.

Explanation:

The radial or centripetal acceleration is given by:

[tex] a_{c} = \frac{v^{2}}{r} [/tex]

Where:

v: is the speed = v₀

r: is the radius = r₀

[tex] a_{c} = \frac{v_{0}^{2}}{r_{0}} [/tex]    (1)

If the radius is now equal to half the initial radius the speed must be:

[tex]a_{c} = \frac{v^{2}}{r_{0}/2}[/tex]    (2)

By equating equation (1) and (2):

[tex] \frac{v_{0}^{2}}{r_{0}} = \frac{v^{2}}{r_{0}/2} [/tex]  

[tex]v^{2} = \frac{v_{0}^{2}}{2}[/tex]

[tex] v = \frac{v_{0}}{\sqrt{2}} [/tex]      

Therefore, the speed must change by [tex]\frac{1}{\sqrt{2}}[/tex] factor in order to have the same radial acceleration.      

 

I hope it helps you!                      

Help Help just answers what ever you think is right but hurry

Which statements accurately describe the greenhouse effect? Check all that apply.

It is caused by liquids on Earth’s surface.

It is caused by gases in Earth’s atmosphere.

It warms up Earth’s surface and the lower atmosphere.

It cools down Earth’s surface and the lower atmosphere.

It maintains Earth’s normal atmospheric pressure.

It maintains Earth’s normal range of temperatures.


Please be honest

Answers

Answer:

it is caused by gases in earths atmosphere. it warms up earhs surface and lower atmosphere.

Explanation:

from what i know, these seem like the only ones that apply.

Discuss the pros and cons of one of the examples of variations in family life – cohabitation, single-parent households, same-sex couples.

Answers

Answer:

a pro to single parent house holds is no favorite parent and a chance to have a better bond with your child a con could be money trouble or jealousy of others with to parents. a pro to same sex couples could be the children could learn to be accepting of others and their differences a con could be the children might be bullied by trashy homophobes at their school and other places for have same sex parents.  i did both so you could chose

An object is moving along a straight line, and the uncertainty in its position is 1.90 m.

Required:
Find the minimum uncertainty in the momentum of the object. Find the minimum uncertainty in the object's velocity, assuming that the object is (b) a golf ball (mass=0.045 kg) and (c) an electron.

Answers

Answer:

[tex]2.78\times 10^{-35}\ \text{kg m/s}[/tex]

[tex]6.178\times 10^{-34}\ \text{m/s}[/tex]

[tex]0.31\times 10^{-4}\ \text{m/s}[/tex]

Explanation:

[tex]\Delta x[/tex] = Uncertainty in position = 1.9 m

[tex]\Delta p[/tex] = Uncertainty in momentum

h = Planck's constant = [tex]6.626\times 10^{-34}\ \text{Js}[/tex]

m = Mass of object

From Heisenberg's uncertainty principle we know

[tex]\Delta x\Delta p\geq \dfrac{h}{4\pi}\\\Rightarrow \Delta p\geq \dfrac{h}{4\pi\Delta x}\\\Rightarrow \Delta p\geq \dfrac{6.626\times 10^{-34}}{4\pi\times 1.9}\\\Rightarrow \Delta p\geq 2.78\times 10^{-35}\ \text{kg m/s}[/tex]

The minimum uncertainty in the momentum of the object is [tex]2.78\times 10^{-35}\ \text{kg m/s}[/tex]

Golf ball minimum uncertainty in the momentum of the object

[tex]m=0.045\ \text{kg}[/tex]

Uncertainty in velocity is given by

[tex]\Delta p\geq m\Delta v\geq 2.78\times 10^{-35}\\\Rightarrow \Delta v\geq \dfrac{2.78\times 10^{-35}}{m}\\\Rightarrow \Delta v\geq \dfrac{2.78\times 10^{-35}}{0.045}\\\Rightarrow \Delta v\geq 6.178\times 10^{-34}\ \text{m/s}[/tex]

The minimum uncertainty in the object's velocity is [tex]6.178\times 10^{-34}\ \text{m/s}[/tex]

Electron

[tex]m=9.11\times 10^{-31}\ \text{kg}[/tex]

[tex]\Delta v\geq \dfrac{\Delta p}{m}\\\Rightarrow \Delta v\geq \dfrac{2.78\times 10^{-35}}{9.11\times 10^{-31}}\\\Rightarrow \Delta v\geq 0.31\times 10^{-4}\ \text{m/s}[/tex]

The minimum uncertainty in the object's velocity is [tex]0.31\times 10^{-4}\ \text{m/s}[/tex].

Can someone tell me what a free fall is

Answers

Answer:

free fall is any motion of a body where gravity is the only force acting upon it. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it

Explanation:

hope this helped

Answer:A freefall is what you experience when you go skydiving and that is because you are falling out of the sky

Explanation:

An object accelerates 2.0 m/s2 when a force of 25.0 Newtons is applied to it. What is the mass of the object?

Answers

Answer:

12.5 kg

Explanation:

The mass of the object can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{25}{2} \\ [/tex]

We have the final answer as

12.5 kg

Hope this helps you

A good alternative to sit ups is

Answers

Answer:

Planks, barbell rollouts, and swiss ball pikes

Explanation:

How much heat is needed to raise the temperature of an empty 2.0 x 101 kg vat made of

iron from 10.0ºC to 90.0ºC?​

Answers

Answer:

Q = 7272 Kilojoules.

Explanation:

Given the following data;

Mass = 2.0*101kg = 202kg

Initial temperature, T1 = 10°C

Final temperature, T2 = 90°C

We know that the specific heat capacity of iron = 450J/kg°C

*To find the quantity of heat*

Heat capacity is given by the formula;

[tex] Q = mcdt[/tex]

Where;

Q represents the heat capacity or quantity of heat. m represents the mass of an object. c represents the specific heat capacity of water. dt represents the change in temperature.

dt = T2 - T1

dt = 90 - 10

dt = 80°C

Substituting the values into the equation, we have;

[tex] Q = 202*450*80[/tex]

Q = 7272KJ or 7272000 Joules.

How does radiation differ from conduction? (4 points)

Answers

The difference between radiation and conduction is that radiation is described as he transfer of heat energy by electromagnetic waves without involving particles. Conduction is described as the flow of heat from one solid to another, using a hot knife as an example.

A pulley is in the form of a uniform solid cylinder of radius 7cm and mass 2kg. One end of a very light rope is fixed to wind the pulley and the other end is
free. When we pull the free end of the rope the pulley starts rotating from rest and accelerates uniformly. If the angular acceleration is 100rad/s so the
tangential acceleration of the rope is:
Chọn một:
a.
200 N
b.
49 N
C.
0.49 N
d.
7N

Answers

I think it’s, A. 200, I’m sorry if I am wrong, I really hope this helps!

In 3 meters a person running 0.5 m/s accelerates 1.2 m/s 2. How fast were they going afterward? Choose the right equation for this word problem from below.

Answers

Answer:

2.72 m/s

Explanation:

In 3 meters a person running 0.5 m/s accelerates 1.2 m/s².

It means,

Distance, s = 3 m

Initial velocity, u = 0.5 m/s

Acceleration, a = 1.2 m/s²

We need to find the final velocity of the person. Using equation of motion to find it as follows :

[tex]v^2-u^2=2as\\\\v^2=2as+u^2\\\\v^2=2\times 1.2\times 3+(0.5)^2\\\\v=2.72\ m/s[/tex]

So, the final velocity of the person is 2.72 m/s.

An object that is oscillating on a spring is given by the equation x = (10.0 cm) cos[(6.00 s-1)t]. At what value of t after t = 0.00 s is the cart first located at x = 8.00 cm?

Answers

Answer:

[tex]t=0.0107\ \text{s}[/tex]

Explanation:

[tex]x=10\cos(6t)[/tex]

Now [tex]x=8\ \text{cm}[/tex]

Substituting the value of [tex]x[/tex] in the equation we get

[tex]8=10\cos6t[/tex]

[tex]\Rightarrow 0.8=\cos6t[/tex]

[tex]\Rightarrow \cos^{-1}0.8=6t[/tex]

[tex]\Rightarrow t=\dfrac{\cos^{-1}0.8}{6}[/tex]    the values here are used found in radians

[tex]\Rightarrow t=0.0107\ \text{s}[/tex]

So, at [tex]t=0.0107\ \text{s}[/tex] the value of [tex]x=8\ \text{cm}[/tex].

Someone help me pls

Answers

Explanation:

The dog was stationary at segment c

Answer:

I don't know if I'm wrong but I'm pretty sure stationary means that the thing is still. I would go with C And maybe D????

where does a solid material go when a solution is made

Answers

Answer:

Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/a88a52bd8e2ff3030b43b9056dfb032b?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term

Explanation:

Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/a88a52bd8e2ff3030b43b9056dfb032b?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term=parent

Other Questions
Somebody amazing answered my other but |4| |6| is confusing i might send alot of them because i dont understand fully Please help Ill mark u brainiest (1) Kendo is a traditional Japanese sword-fighting technique that was originally practiced by warriors known as samurai. Scholars estimate that the sword was first introduced to Japan in 200 B.C. The sword went through many transitions from its original form, and in the middle of the 11th century, it emerged as an elegant weapon with a curved and slightly arched blade.(2) The years passed, and kendo began to take on a new form. In the late 1800s, bamboo swords called shinai took the place of iron swords, and warriors began to wear protective armor to protect themselves from injury. When the samurai class was abolished in 1868, the practice of kendo began to decline. A few years later, the practice was revived and was used to train police officers.(3) By the end of the 12th century, unrest in the government led to the development of a warrior class. The samurai elevated sword making into a revered art form. From the 14th to the 16th centuries, prestigious sword fighting schools developed to help warriors hone their skills.(4) The Dai Nippon Butoku Kai, a martial arts organization, was established in 1895. More than a decade later, kendo was added to the physical education curriculum in Japanese middle schools. Kendo again suffered a decline after World War II. It wasn't until 1952 that a new form of kendo called "Shinai Kyogi" was created and introduced into public schools. Today, kendo is growing in popularity around the world.39What is the best order for paragraphs 2, 3, and 4?A. 3, 2, 4B. 2, 4, 3C. no changeD. 4, 3, 2Plz help , i Ava is driving home from college this winter holiday. She travels 60 miles during the 1st hour of her trip. If she continues at the same rate, how many TOTAL hours will it take her to reach her home 330 miles away? 5.5 hours 5.5 hours 5 hours 5 hours 6.5 hours 6.5 hours 4 hours x + 5 is a factor of f(x) = x ^ 3 - 2x ^ 2 - 23x + 60 to factor f(x) completely. Calculate the area of the shaded region in two different ways. Explain the difference between your two methods. Can you help me write a paragraph that takes about America's reaction to Biden's election while incorporating media sources( specifically online articles). It's for my dual credit English and this is what I have so far. PLEASEEE HELPPP...Balance the following equation: _ Hv2_0v2--> Hv20 (the v is meant to show the following Tasks: The underlined part of the following sentence: Though he was born a slave, Frederick Douglass learned to read and write. is an example of a compound sentence phrase dependent clause thesis statement A student is given a sample of an unknown liquid to test in the laboratory. The student thinks that the liquid is water. Which of the following properties of the sample is most helpful to determine if the liquid is water? If x is positive and x^2 = 729, what is the value of x? the sales tax is $1002.80 on an automobile purchase of $21800. what is the sales tax rate? What did the disciples of Jesus eventually become?They became Epistles.They became Roman authorities.They became citizens of Nazareth.They became priests and bishops. List all the subset of set[ red, green, blue Which family does sodium belong to? Explain the difference between the following.a.) Pre-Civil War Settlement Patternsb.) Post-Civil War Settlement Patterns which sustainable practice is paired correctly with its impact on the environment. Look at this graph:100908070605040302010010203040506070 80 90 100What is the slope? can someone pls help me? :)Example:2x + 4x - 3x = 186x - 3x = 18 (2x + 4x = 6x)3x = 18 (6x - 3x = 3x)x = 6 (18 divided by 3 = 6)Example:10s - 4 = 7s + 810s - 7s = 8 + 43s = 12 (12 divided by 3 = 4)s = 4Directions: Solve each of the following equations.a. Combine like termsb. Then isolate the variable if necessaryc. Follow rules for signed numbers1. 15t + 8t - 2t = 162. 24m + 24m = 963. 26 = 12n + 2n4. 20a - 3a = 345. 170x + 4 = 646. 15x - 25 = 2007. 5s + 3s = 428. 10t + 2t = 289. 14s + 35s - 7s = 4210. 124s - 14s + 12s = 1211. 76x + 23x = 3312. 140r - 8r - 4r = 21613. 98c - 99c = 114. 104mn + (-84mn) = 3615. 118j - 234j = 234 HELP ASAP 15 POINTS!United States vs. Macedonia (1812)How large were the forces engaged in the battle? (For a land battle this should be the number andtype of troops involved on each side. For a naval battle this should be the type of ships and number ofguns on each) Write V 250 in simplest radical form.