A 40 kg boy on a skateboard throws a 2 kg ball at 20 m/s to the left. How fast did the boy move to the right on his skateboard?

Answers

Answer 1
According to my examination I have confirmed that I do NOT repeat do NOT know this .

Related Questions

Snails crawl very slowly. If a garden snail crawls at 0.013 m/s north, how far will it travel in 60 seconds?

Answers

Answer:

.78 m/s north

Explanation:

Pls give brainliest if I correct

18) Why do you think divergent plate boundaries and transform fault boundaries only occur at places where the crust is the same on both plates? ​

Answers

Answer:

A divergent boundary occurs when two tectonic plates move away from each other. Along these boundaries, earthquakes are common and magma (molten rock) rises from the Earth's mantle to the surface, solidifying to create new oceanic crust. When two plates come together, it is known as a convergent boundary.

Explanation:

A ball is thrown horizontally at a height of 2.20 meters at a velocity of 65.0 m/s. Assume no air resistance. How far did the ball travel horizontally when it hit the ground?

Answers

Well when u use the Pythagorean Theorem u get 23.4

If a  ball is thrown horizontally at a height of 2.20 meters at a velocity of 65.0 m/s. Assuming no air resistance, then the distance traveled by the ball horizontally when it hit the ground would be  43.55 meters.

What are the three equations of motion?

There are three equations of motion given by Newton,

v = u + at

S = ut + 1/2 × a × t²

v² - u² = 2 × a × s

As given in the problem If a ball is thrown horizontally at a height of 2.20 meters at a velocity of 65.0 m/s. Assume no air resistance.

S = ut + 1/2 × a × t²

2.2 = 0 + 0.5 × 9.8 ×  t²

t² = 2.2 / 4.9

t = 0.67 seconds

The horizontal displacement of the ball = 0.67 × 65

                                                                  = 43.55 meters

Thus, the distance traveled by the ball horizontally when it hit the ground would be  43.55 meters.

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The force of 5N south acts concurrently with force of 5N 30 degrees South of East

A. Draw the diagram - TAIL to TAIL

B. Label both vectors (see page one for example)

C. Draw and LABEL the resultant and equilibrant

D.Find the magnitude and direction of the resultant and equilibrant


(scale: 1cm = 1N)

Answers

Answer:

The magnitude and direction of the resultant is 8.66 N and [tex]60^{\circ}[/tex] south of East.

The magnitude and direction the equilibrant is 8.66 N and [tex]60^{\circ}[/tex] North of West respectively.

Explanation:

Let

[tex]P=5\ \text{N}\ \text{south}[/tex]

[tex]Q=5\ \text{N}\ 30^{\circ}\ \text{south of east}[/tex]

[tex]\theta[/tex] = Angle between P and Q = [tex]60^{\circ}[/tex]

Magnitude of resultant

[tex]R=\sqrt{P^2+Q^2+2PQ\cos\theta}\\\Rightarrow R=\sqrt{5^2+5^2+2\times 5\times 5\cos60^{\circ}}\\\Rightarrow R=8.66\ \text{N}[/tex]

Direction is given by

[tex]\theta=\tan^{-1}\dfrac{Q\sin\theta}{P+Q\sin\theta}\\\Rightarrow \theta=\tan^{-1}\dfrac{5\sin60^{\circ}}{5+5\sin60^{\circ}}\\\Rightarrow \theta=30^{\circ}[/tex]

The magnitude and direction of the resultant is 8.66 N and [tex]30^{\circ}+30^{\circ}=60^{\circ}[/tex] south of East.

The magnitude and direction the equilibrant is 8.66 N and [tex]60^{\circ}[/tex] North of West.

Weight is proportional to but not equal to mass. In which of the following situations would a person show an increase in weight but not an increase in mass?
Group of answer choices

a Landing on a planet with more gravity.

b Traveling on the highway in a SUV.

c Living in a chamber in an underwater habitat.

d Climbing to the top of a mountain.

Answers

Answer: c living in a camber in an under water habitat

Explanation:

which two actions would strengthen an electromagnet?

A. Add and ammeter into the circuit.
B. Decrease the size of the permanent magnet in the circuit.
C. increase the number of wraps of wire around the core.
D. Replace the magnetic core with aluminum nails.
E. Connect a second battery in the circuit.

please help!!!!, ONLY ANSWER IF YOU KNOW IT

Answers

Answer:

C. increase the number of wraps of wire around the core.

E. Connect a second battery in the circuit.

Explanation:

got the question current on a p e x

increase the number of wraps of wire around the core and Connect a second battery in the circuit are the two actions would strengthen an electromagnet.

what are the types of wiring ?

The  distribution electrical power  through wires in a perfect manner inside a building or a room with better load control is known as electrical wiring.

Different types of wiring such as Tee system or Joint box system where the connection of appliances is done with this wiring, which does not  consume too much cable size.

Loop-in system means the system is used in lamps and other appliances are parallelly connected so that each appliance is controlled individually.

Cleat Wiring consists of ordinary VIR or PVC insulated wires is compounded on walls and ceilings by means of porcelain cleats, wood, or plastic, temporary system and is not suitable for domestic usage. For example, used in an under-construction building.

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What made "Lunar Orbit Rendezvous" such an attractive method to get to the Moon that it was selected by NASA in July, 1962

Answers

Answer:

I don't know the answer

When does an object reach its terminal velocity?

Answers

Answer: Terminal velocity is achieved, therefore, when the speed of a moving object is no longer increasing or decreasing; the object's acceleration (or deceleration) is zero.

Explanation:.

Answer: Terminal velocity is achieved, therefore, when the speed of a moving object is no longer increasing or decreasing; the object's acceleration (or deceleration) is zero.

As others have said, 8 seconds to get to 90% of terminal velocity. But if you're falling from outer space, you could reach speeds much higher than terminal velocity, and slow down when you reach the atmosphere. If coming in from a long distance, you'll burn up like a meteorite.

Explanation:

PLSSSS HELPPP What effects do mutations have? Check all that apply.

A) could change protein shape
B)never change protein shape
C)might be neutral
D)always change the way a trait is observed
E)might be harmful
F)might be beneficial

Answers

Answer:

E, F, A, C

Explanation:

They cannot change the way a trait is observed

Mutations could change protein shape(A), could cause genetic disorders and harm you(E), could actually be beneficial and cause adaptations to your environment(F), or they could be neutral in which no changes are observantly notable(C).

Hope this helps

Use the following v-t graph to answer the next questions
5
B
Velocity )
neters/second(s)
4
A
3
2
1
Time (1)
0
1
2
3
4
5
2
8
10
11
12
13
1015
16
second(s)
.1
D
-2
C С
3
5

Answers

Answer:

mag aral ka bubu

Explanation:

ang tanga mu hahahahhaha luko nandyan lang naman yan hahahhahahahahahahhahahahahahahahhahahahahahaahahahahahahahhahahahahahahahahahahahahaahhahahaahahhaahha09561782

Exercise Exercise Respond to the following based on your reading. What is the difference between longitudinal and transverse waves? Compare and contrast the direction of their movement, movement of a molecule through the completion of a cycle, and amplitude and wavelength measurements of each type of wave. Suppose that a wave has a period of 0.03 second. What’s its frequency? Be sure to show the steps for your work. Compare a wave that has a period of 0.03 second with a second wave that has a period of 1⁄4 second. Which wave has the greater frequency? Be sure to show the steps for your work. If a wave has a wavelength of 4.5 meters and a period of 0.007 second, what’s the velocity of the wave? Be sure to show the steps of your work. Using the image below, identify the numbered parts of the wave.

Answers

Answer:  Waves are periodic disturbance of a medium that transmit carrying energy but not matter.

Depending on which direction the particles oscillate, waves are divided into two types:

- Transverse waves: in these waves, the oscillations occur in a direction perpendicular to the direction of motion of the wave. Examples of transverse waves are the vibrations in a guitar string.

- Longitudinal waves: in these waves, the oscillations occur back and forth along the direction of motion of the wave. Examples of longitudinal waves are sound waves.

As a result, amplitude and wavelength are measured differently in the two types of waves. In particular:

- The amplitude in a transverse wave is measured as the distance between the equilibrium position and the maximum displacement of a particle in the wave, in the direction perpendicular to the motion of the wave. On the other hand, in a longidutinal wave this distance is measured as the maximum displacement along the direction of propagation of the wave.

- The wavelength in a transverse wave is measured as the distance between two consecutive crests (points of maximum displacement) of the wave. For a longitudinal waves, there exist no crests, but regions of highest density of the particles (compressions) and of lowest density of the particles (rarefactions), so the wavelength is measured as the distance between two consecutive regions of compressions (or rarefactions).

Explanation:

Answer:

Transverse waves carry molecules at right angles to the direction in which the wave travels. Within a cycle, molecules move from their normal position to the highest position, back through the normal position to the lowest point, and then back to the normal position. The molecules retain their horizontal positions while vibrating vertically. Amplitude is measured at right angles to the direction of the travel of the wave. Wavelength can be represented as the distance between any two molecules in phase with each other, such as the two nearest molecules at the crests of the wave.

Longitudinal waves carry molecules parallel to the direction in which the wave travels. Within a cycle, a molecule travels in the same direction as the wave (from normal position to its most distant point on one side of its normal position), changes direction, moves back through its normal position to the opposite side of its normal position at a point that corresponds, and then returns to its normal position. The molecules don’t all move at the same time; some remain stationary as others go through a vibrating motion. Compressions and rarefactions occur here. Amplitude is measured parallel to the direction of the wave. Wavelength may be represented as the distance between the two nearest molecules that didn’t vibrate, the two nearest molecules at maximum compression, or the two nearest molecules at maximum rarefaction.

f = 1⁄T  

f = 1⁄0.03  

f = 33. 3 Hz

The first wave has a frequency of 33.3 Hz:  

f1 = 1⁄T1  

f1 = 1⁄0.03  

f1 = 33. 3 Hz

The second wave has a frequency of 4 Hz. f2 = 1⁄T2  

f2 = 1⁄1⁄4  

f2 = 1 ÷ 1⁄4  

f2 = 1 × 4⁄1  

f2 = 1⁄1 × 4⁄1  

f2 = 4 Hz

Therefore, the first wave has a higher frequency.

v = I⁄T  

v= 4.5⁄0.007  

v = 642.9 m/s

Wavelength

Crest

Trough

Amplitude

Explanation:

A 4 kg jug of juice is pulled forward across a horizontal breakfast table, by a 12 N forward-directed force. A frictional force also impedes the jug's motion. What is the coefficient of kinetic friction between the table and jug, if the jug accelerates to the right at 2 m/s^2 ?

A 0.08
B 0.1
C 0.2
D 0.3

Answers

Answer:

0.1

Explanation:

According to equation of motion;

\sum F = ma

m is the mass of the body

a is the acceleration

\sum F = Fm - Ff (along the horizontal)

Fm is the moving force

Ff is the frictional force

Given;

Fm = 12N

Ff = nR = nmg

Ff = n(4)(9.8)

Ff = 39.2n

Substitute the given value into the expression above;

Fm - Ff = ma

12 - 39.2n = 4(2)

-39.2n = 8-12

-39.2n = -4

n = 4/39.2

n = 0.1

Hence the coefficient of kinetic friction between the table and jug is 0.1

May someone please help?
Air is cooled and
becomes
[denser/less dense).
Less dense air
[rises/sinks).
Denser air
(rises/sinks).
The process repeats, producing a
Air is heated and
becomes
[denser/less dense]
within the gas

Answers

Air is cooled and

becomes denser.

Denser air sinks.

The process repeats, producing a (i wasn't sure about this one)

Air is heated and becomes less dense.

Less dense air rises.

hope this helps!

what is theory of relativity and why this theory made??????
I will give brainlist no google ans I will check
..​

Answers

Answer:

e=mc2 made to relate mass with energy . bcoz energy can neither b created nor b destroyed

Answer:

Leave it bro!!!.....

I have got members!!!

But if you want then come up from my id #LV89QRGCL

(NEED HELP ASAP)
In a lab investigation one group of students (group a) measures the speed of a 0.1 toy car to be 2.5 m/s at the bottom of a ramp another group of students (group b) measures the speed of the car to be 3 m/s at the bottom of the ramp the cars starting position at the top of the ramp is 1 m high.

a. what is the potential energy of the car at the beginning of the experiment before it's speed is measured?

b. Calculate the kinetic energy of the car for group a.

C. Calculate the kinetic energy for the car for group b.

Answers

Answer:

a = 0.98J

Explanation:

PE = mgh

PE = 0.1 x 9.8 x 1

PE = 0.98J

(a) The potential energy of the car at the beginning of the experiment is 9.8(m) J.

(b) The kinetic energy of the car for group a is 3.125(m) J.

(c) The kinetic energy of the car for group b is 4.5(m) J.

Potential energy of the car at the beginning of the experiment

The potential energy of the car is calculated as follows;

P.E = mgh

where;

m is mass of the carg is accleration due to gravityh is height of the car

P.E = m x 9.8 x 1

P.E = 9.8(m) J

Kinetic energy of the car for group a

K.E = ¹/₂mv²

K.E = ¹/₂ x m x (2.5)²

K.E = 3.125(m) J

Kinetic energy of the car for group b

K.E = ¹/₂mv²

K.E = ¹/₂ x m x (3)²

K.E = 4.5(m) J

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Uniform Circular Motion: You need to design a wheel for testing purposes such that its rim will have an acceleration of 1.5 g when the rim is moving at 37 m/s while spinning. What should be the diameter of this wheel?

Answers

Answer:

We want to have an acceleration of:

A = 1.5*g = 1.5*9.8m/s^2  = 14.7 m/s^2

When the rim is moving at 37m/s while spinning.

Now, in circular motion we have two accelerations.

Tangential acceleration, that is the one related to the change of speed, as we have a speed of 37m/s, we can assume that is constant, then the tangential acceleration is zero.

Centripetal acceleration, is the one related to the change in direction, is perpendicular to the velocity vector and is the one that allows the circular motion.

I suppose that in this problem we want to have a  centripetal acceleration of 14.7m/s^2

The equation for the centripetal acceleration is:

Ac = v^2/r

Where v = velocity and r = radius.

then we must solve:

14.7m/s^2 = (37m/s)^2/r

r = (37m/s)^2/14.7m/s^2 = 93.13 m

What are the Laws of conservation of atoms?​

Answers

Answer:

Both the initial and final substances are composed of atoms because all matter is composed of atoms. According to the law of conservation of matter, matter is neither created nor destroyed, so we must have the same number and kind of atoms after the chemical change as were present before the chemical change.

Explanation:

Answer:

The law of conservation of atoms is simple but it has a great affect. An atom cannot be destroyed by such a force. Matter/atoms can't be created by any means. An atom exits only by nature and not by force.

Hope this helped! Please mark brainliest! Have a great day!

Which of the following has the greatest mass?
A. star
B. moon
C. planet
D.galaxy

Answers

Answer: I think the answer is d

Explanation: sry if wrong

A bulldozer pushes on a boulder with a force of 600 N. It accelerates at 3 m/s. Find mass.​

Answers

Answer:

Formula for mass: m=f/a

m=600/3

The mass is 200.

Explanation:

Hope this helps!

Calculate the acceleration of gravity that the moon has, if an astronaut has a mass of 87 kg and the weight force he experiences on the moon is 141 N

Answers

Answer:

the acceleration of gravity is 1.62

Explanation:

w=mg

141=87g

141/87=87g/87

1.62=g

plz help i really need this

Answers

Answer:

The reactivity of metals increases as you move left in a period and as you move down in a group, so Marie needs to know the period and group of the element inside each box. Boxes that show locations in groups 1 or 2 or in period 8 contain the most reactive elements.

Explanation:

Answer:

The Group Number of the elements.

Explanation:

If Marie knew the group number of the elements, then she could determine the amount of valence electrons each element has and their reactivity rate. For example, if one box tells her that an element is located in group 18, then she could determine that the element is not very reactive. This is because elements in group 18 have 8 valence electrons, which makes them stable/unreactive.

Hope this helps!

how are atoms in a molecule held together?

A.through shared protons

B.through shared electrons

C.through shared neutrons

D.through shared energy

Answers

Atoms held together through shared electrons.

A molecule is composed of atoms. Atoms are the smallest particles of a substance which can take part in a chemical reaction. Atoms are composed of electrons and the electrons in the outermost shell of atoms help bond atoms together in a molecule.

Hence, atoms are held together in molecules by electrons so they are held together through shared electrons.

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Ahmad is riding his bicycle. He finds that he can accelerate from rest at 0.44 m/s^2 for 5 s to reach a speed of 2.2 m/s. The total mass of Christian and his bicycle is 54 kg. Later, he straps some cargo onto the back of his bicycle. The mass of the cargo is 12 kg.• Calculate the force that Christian can exert on his bicycle before picking up the cargo and exerts the same force on his bicycle.

Answers

Answer:

1) The force Christian can exert on his bicycle before picking up the the cargo is 529.74 N

2) The force Christian can exert on his bicycle after picking up the the cargo is 647.46 N

Therefore, Christian has to exert more force on his bike after picking up the cargo

Explanation:

The given parameters are;

The mass of Christian and his bicycle = 54 kg

The mass of the cargo = 12 kg

1) The force Christian can exert on his bicycle before picking up the the cargo = Mass of Christian and his bicycle × Acceleration due to gravity

∴ The force Christian can exert on his bicycle before picking up the the cargo = 54 kg × 9.81 m/s² = 529.74 N

2) The force Christian can exert on his bicycle after picking up the the cargo = (54 + 12) kg × 9.81 m/s² = 647.46 N

Therefore, Christian has to exert more force on his bike after picking up the cargo.

Which phrase best describes the dorsal nerve cord?

A. A group of interconnected neurons that enables response to stimuli
B. A group of similar nerve cell bodies grouped together
C. A stiff, nonconducting rod that develops down the back of all chordate embryos
D. A thick grouping of nerves that runs down the back of the embryo

Answers

Answer:

D

Explanation:

I t0ook the test and chose B and it was wrong and the answer was D.

Answer:

A thick grouping of nerves that runs down the back of the embryo

Explanation:

Hi, I don't really know I just guessed.

Answers

Answer:

direction

Explanation:

HELP ME! PLEASE! SOMEONE! THIS QUESTION IS VERY HARD! THERE ARE 3 ANSWERS! HELP ME PLEASE! MAKE SURE TO EXPALIN
Question:
The teacher told Fatima that all types of energy are kinetic energy, potential energy, or both. Fatima drew this diagram to help her organize this information. She then sorted each type of energy into its correct category: chemical, electrical, electromagnetic, mechanical, nuclear, and thermal.

Three of the types of energy can be either kinetic or potential energy. Identify these three types. For each type, explain why it can be either kinetic or potential.

Answers

Answer:

search up the kinetic energy and potential energy etc. then take them and look at the characteristica are they the same? What makes them similar? Why are they different ? How? Then add the chemical nuclear and electrical changes it creates. Now the rest! There you’ve got this! If you need support I’m here! Hope this helped!

Explanation:

In a container of negligible mass, 0.0400 kg of steam at 100∘C100 ∘ C and atmospheric pressure is added to 0.200 kg of water at 50.0∘C50.0 ∘ C.
(a) If no heat is lost to the surroundings, what is the final temperature of the system?
(b) At the final temperature, how many kilograms are there of steam and how many of liquid water?

Answers

A - 100 C°
B - 0.0214 kg and 0.219 kg

Hope this helped out! Have a nice day :)

If no heat is lost to the surroundings, the final temperature of the system is 100 C°,  At the final temperature, 0.0214 kg and 0.219 kg kilograms are there of steam and how many of liquid water

What is heat ?

heat can be defined as the form of energy that is spontaneously transferred from one object to another object as the differences in temperatures is otherwise called as heat transfer.

The Heat transfer occurs  upto the  equilibrium point of an object has been reached.

Internal Energy is the total amount of energy of all the molecules of a body is the internal energy within the object.

Specific Heat or heat capacity, is   the amount of energy required to produce a unit change in its temperature.

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1
Assertion (A): Potential energy of a body depends upon height of the body from the surface of earth.
Reason (R): Potential energy and height of the body from ground are directly proportional to each
other (h«<r)
a) Both A and R are true and R is the correct explanation of A
[ ]
b) Both A and R true and R is not the correct explanation of A
c) A is true but Ris false
d) A is false but R is true
beha​

Answers

Answer:

a

Explanation:

it increases with increasing height

Use words from the box to complete the sentences below.
-direction
-energy
-mass
-size
Vectors have size and ___
Scalars have only ____

Answers

Answer:

direction

size

Explanation:

Vectors are physical quantities with both magnitude or size and direction.

Scalars are physical quantities with only size but not direction.

Examples of vectors are velocity, displacement and force. Examples of scalar are distance and speed

When describing a vector, on must specify its magnitude and direction.

Only the size of scalar quantities are needed to describe them.

Sort the statements based on whether they are correct or incorrect.
All waves have the same
wavelength.
Radio telescopes give us
information about the
birthplace of a star.
If the wavelength of a wave
increases, its frequency
also increases.
Visible light is a kind of
electromagnetic wave.
All objects emit
electromagnetic waves.
Correct
Incorrect

Answers

All waves have the same  wavelength.   wrong

Radio telescopes give us  information about the birthplace of a star.  I think wrong but I'm not sure.

If the wavelength of a wave  increases, its frequency  also increases.   wrong

Visible light is a kind of  electromagnetic wave.   right

All objects emit  electromagnetic waves. right

All waves have the same wavelength is an incorrect statement.

Radio telescopes give us information about the birthplace of a star is a correct statement.

If the wavelength of a wave increases, its frequency also increases is an incorrect statement.

Visible light is a kind of electromagnetic wave that is a correct statement

All objects emit electromagnetic wave is a correct statement

What is an electromagnetic wave?

Electromagnetic waves are waves that are generated as a result of oscillation between an electric field and a magnetic field. In other words, EM waves are a combination of vibrating magnetic and electric fields and these two fields are orthogonal to each other. Electromagnetic waves propagate in a transverse direction therefore these waves are also known as transverse waves.

Therefore, it is incorrect to say that all waves have the same wavelength.

It is true to say that radio telescopes can tell us where a star was born.

It is untrue to say that as a wave's wavelength increases, so does its frequency.

It is true to say that visible light is a type of electromagnetic wave.

It is true to say that all objects emit electromagnetic waves.

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Other Questions
idenify the slope and y-intercept of the function y=-2x+3 Solve for x. Round your answer to the nearest tenth if necessary. let f(x) = x^4 -4x^2 +3x find f(-3) a.-54 b.36 c.-126 d.108 How is the current tension of government "for the people and by the people" versus individual authority rooted in our democracy? SOME DA*MNHELP ME WITH THIS SH*T 101.101 correctly written out in words Forests cover about 31% of the land on Earth, but, sadly, that number is decreasing at a rapid rate. Deforestation, human-driven and natural loss of trees, is one of the main causes of this depletion. A natural loss of trees might come from a fire, for example, but deforestation done by humans is more common and involves removing trees to make room for something else. This can include clearing the land for farming or using the wood from trees for fuel, construction, or manufacturing. Despite these potential economic benefits, deforestation should be stopped because forests are too important for people, animals, and the environment. Write three to five sentences explaining how the author develops the key concept in this paragraph. What did the Great Schism split?Athe Holy Roman Empire and the Byzantine Empire 1.Think about the five steps to writing an algorithm. Why is each step necessary? 2.Why is it important to be precise when writing computer code? 3.Some problems are better solved by a computer and some are better solved by humans. How do you know when a problem should be solved by a computer or by a person? 4.Theres a scientific theory out there that says that our brain uses an algorithm to create our thoughts and its called the Theory of Connectivity. This theory suggests that information comes into our brains, is processed, stored, and then results in an output. Does this process sound familiar to you? In what ways do our bodies take in input and respond, sometimes without our control? Give two examples. 5.In what ways is the human brain like a computer? In what ways is it different? (100) points When you add additional forms to a project, you add additional ________, which are stored in their own files. What igneous rock is non-vesicular and glassy in texture and has a mafic composition? Kevin found his average number of text messages sent over three days using the expression below. Which statement best describes the number of the expression? What causes conflict to impact relationships?What types of conflict are there? How can youimprove communication? Need help with 4.7 lesson practice conflict between settlers and American Indians occurred after...o American Indians Refused to sign a treatyo the US government broke promises o American Indians were forced to go to Canada o settlers refused to sign a treaty Which statement accurately describes one aspect of plate tectonics that involves subduction and seafloor spreading? Older crust is melted at subduction zones.Crust is created at the coastlines of continents.Continents do not move as a result of seafloor spreading and subduction.Crust is created as the mantle hardens under the lithosphere. Need help with this question membership to iron gym cost $40 per month plus $30 registration fee. the monthly cost is deducted automatically from your account. if your starting balance is $350 how many months will you be able to go to the gym before you have to add money to your account?A. 6B. 7C. 8D. 9 All of the ingredients are purchased in bulk sizes. The butter comes in 12-cup containers. How many recipes will each container of butter be able to make? Courtney belongs to a health club that charges a monthly fee of $20, plus $85 to join. Write a function to represent her costs. How much has she paid after six months? Change each compound or complex sentence below into a pair of shorter sentences. Use correct punctuation. You may add words if necessary.1.More than that, it infused the nation with a commitment to far horizons and new frontiers, and thereby kept the pioneer spirit of American life, the spirit of equality and of hope, always alive and strong.