Which three statements describe mechanical waves?
A. The waves can travel through empty space.
B. The waves transfer energy by causing particles of matter to
move.
C. The waves need matter to transfer energy.
D. The waves can transfer energy through solids, liquids, and gases.

Answers

Answer 1

The three statements that are correct about the mechanical waves are options B, C, and D.

Mechanical waves:

Mechanical waves are produced due to disturbances in any matter. Which clearly indicates that the mechanical waves cannot travel through empty space.

The mechanical waves require matter to transfer energy through oscillation in the matter. So it is true that the waves transfer energy by causing particles of matter to move.

Also, the mechanical waves need matter to transfer energy, the waves can transfer energy through solids, liquids, and gases.

An example of a mechanical wave is the sound produced by the guitar strings.

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Related Questions

At a certain elevation, the pilot of a balloon has a mass of 120 lb and a weight of 119 lbf. What is the local acceleration of gravity, in ft/s2, at that elevation

Answers

Answer:

31.905 ft/s²

Explanation:

Given that

Mass of the pilot, m = 120 lb

Weight of the pilot, w = 119 lbf

Acceleration due to gravity, g = 32.05 ft/s²

Local acceleration of gravity of found by using the relation

Weight in lbf = Mass in lb * (local acceleration/32.174 lbft/s²)

119 = 120 * a/32. 174

119 * 32.174 = 120a

a = 3828.706 / 120

a = 31.905 ft/s²

Therefore, the local acceleration due to gravity at that elevation is 31.905 ft/s²

Who invented gravity

Answers

Answer: joe

Explanation:

Answer:

Sir Isaac Newton

Explanation:

Sir Isaac Newton was an English mathematician and mathematician and physicist who lived from 1642-1727. The legend is that Newton discovered Gravity when he saw a falling apple while thinking about the forces of nature.

1. An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a ______________ acting over some amount of ___________________ to cause a change in __________________.

Answers

Answer:

Force, distance, energy

Explanation:

An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a a force acting over some amount of distance to cause a change in energy

An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a a force acting over some amount of distance to cause a change in kinetic energy."

The given problem is based on the concept of impulse and the work done. As per the impulse momentum theorem, when some magnitude of force is applied on an object for a small interval of time, then it will cause some momentum change.

That is,

[tex]F \times t = \Delta P[/tex]

here, F is the applied force.

And as per the concept of work energy theorem, "the work done by the applied force to cause the displacement of an object is equivalent to the change in the kinetic energy of object.

That is,

[tex]W = \Delta KE\\F \times d=\Delta KE[/tex]

here, F is the applied force and d is the distance moved by object.

Thus, we can conclude that the complete paragraph is,

"An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a a force acting over some amount of distance to cause a change in kinetic energy."

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What substances cannot be separated by steam distillation?

Answers

Oil cannot be separated

2. A 2500 kg car is slowed down uniformly from an initial velocity of 20.0 m/s to
the north by a 6250 N braking force acting opposite the car's motion. Use the
impulse-momentum theorem to answer the following questions:
a. What is the car's velocity after 2.50 s?
b. How far does the car move during 2.50 s?
c. How long does it take the car to come to a complete stop?

Answers

Answer:

13.75m/s; 42.2m; 8s

Explanation:

(a) the car's velocity after 2.50 s is 13.75 m/s

(b) The distance traveled by the car is 42.18 m

(c)  the time taken for the car to come to complete stop is 8 s.

The given parameters;

mass of the car, m = 2500 kg

initial velocity of the car, u = 20 m/s

breaking applied on the car, f = 6250 N

The acceleration of the car is calculated as follows;

[tex]F = ma \\\\a = \frac{F}{m} = \frac{6250}{2500} = 2.5 \ m/s^2[/tex]

(a) Using impulse-momentum theorem, the car's velocity after 2.5 s is calculated as follows;

[tex]F = \frac{m(u-v)}{t} \\\\m(u-v) = Ft\\\\u-v = \frac{Ft}{m} \\\\v = u - \frac{Ft}{m} \\\\v = 20 - \frac{6250 \times 2.5}{2500} \\\\v = 13.75 \ m/s[/tex]

(b) The distance traveled by the car during the 2.5 s;

[tex]v^2 = u^2 - 2as\\\\2as = u^2 - v^2\\\\s = \frac{u^2 - v^2}{2a} \\\\s = \frac{20^2 - 13.75^2}{2\times 2.5} \\\\s = 42.18 \ m[/tex]

(c) The time taken for the car to come to a complete stop;

when the car stop's the final velocity, v = 0

v = u - at

0 = 20 - 2.5t

2.5t = 20

[tex]t = \frac{20}{2.5} \\\\t = 8 \ s[/tex]

Thus, the time taken for the car to come to complete stop is 8 s.

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What is the unit vector along ⃗ = hat − hat + hat ?​

Answers

Answer:

1 hat

Explanation:

Why could it be argued that the respiratory system is most critical to sustaining life?

Answers

Explanation:

Energy is the most important ingredient for life. Organisms use energy in diverse ways. Scientifically, energy is defined as the ability to do work. Without this ability, organisms would not exist.

So, the most important process is one that can furnish the body with energy.

The respiratory system happens to be the one that furnishes the body with energy. During respiration, the energy needs of the body is met by series of processes. Oxygen is taken in and use to liberate calories from chemical substances packed with energy. So, without respiration, the bodily energy demands will not be met.

As positively charged sodium ions enter the axon, _______ flow(s) out to repolarize part of the axon

a. potassium ions

b. a neural impulse

c. the action potential

d. glial cells

Answers

Voltage-gated sodium channels at the part of the axon closest to the cell body activate, thanks to the recently depolarized cell body. This lets positively charged sodium ions flow into the negatively charged axon, and depolarize the surrounding axon.

As positively charged sodium ions enter the axon, potassium ions flow out to repolarize part of the axon.

At the beginning of an action potential of cell membrane, the sodium ion gates open and sodium ions flows into the cell.  This process is called depolarization. Due to rapid influx of sodium ion, the channel is eventually closed.

The potassium channels are then activated in a process called repolarization. This process occurs when the potassium channels open and allow potassium ions to flow out of the cell.

To maintain the cell membrane potential, cells are kept at low concentration of sodium ions and high concentration of potassium ions.

Thus, as positively charged sodium ions enter the axon, potassium ions flow out to repolarize part of the axon.

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A diode laser emits a wavelength of 987 nm. All of its output energy is absorbed in a detector that measures a total energy of 0.52 J over a period of 32 s. How many photons per second are being emitted by the laser?

Answers

Answer:

8.04 × 10¹⁶ photons per second

Explanation:

First, we calculate the energy per photon from E = hc/λ where h = Planck's constant = 6.63 × 10⁻³⁴ Js c = speed of light = 3 × 10⁸ m/s and λ = wavelength of laser = 987 nm = 987 × 10⁻⁹ m = 9.87 × 10⁻⁷ m

So, E = hc/λ = 6.63 × 10⁻³⁴ Js × 3 × 10⁸ m/s/9.87 × 10⁻⁷ m = 19.89/9.87 × 10⁻¹⁹ J = 2.02 × 10⁻¹⁹ J per photon.

Since we have a total of 0.52 J over a period of 32 s, the output power is 0.52 J/32 s = 0.0163 J/s.

Thus the total number of photons per second is thus in output power/energy per photon = 0.0163 J/s ÷ 2.02 × 10⁻¹⁹ J per photon

= 8.04 × 10¹⁶ photons per second

Which of the following is Not One of the four Assumptions of kinetic theory?
A. All matter is composed of tiny particles
B. These particles are in constant random motions
C. The particles move in a choreograph path and do not collide
D. The amount of energy that the particles this on this collision is negligible

Answers

Answer:

I Believe it is

Option C (The particles move in a choreograph path and do not collide)

Explanation:

Hope this Helps! :)

A capacitor is connected to an AC generator. As the generator's frequency is increased, what happens to the current in the capacitor

Answers

Answer:

The current increases.

Explanation:

A capacitor can be defined as an electronic component used in electrical circuits to store charge temporarily.

A capacitor is connected to an AC generator. As the generator's frequency is increased, the current in the capacitor increases as well.

This ultimately implies that, when a capacitor is connected to an AC generator, the frequency of the circuit is directly proportional to the amount of current flowing through it.

What do scientists know about the future of the universe?
what dark matter is made of
why the expansion of the universe is accelerating
that stars will eventually burn out causing the universe to become cold and dark
that galaxies spin much slower than they should based on visible matter

Answers

Answer:

B. Why the expansion of the universe is accelerating

Explanation:

possibly pretty sure if not right then the answer is A. What dark matter is made of hope this helps please mark brainiest only answer plz

Why the expansion of the universe is accelerating is what scientists know

about the future of the universe.

Scientists have observed that radiation emitted by the galaxies have shifted

towards the red end of the electromagnetic spectrum. This means that there

has been an increase in the wavelength for this to occur.

This tells us that the universe is expanding which was why the wavelength

of the emission spectra experienced a shift or stretch.

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What kind of injury would most likely come from an unfortunate slide into home in a baseball game?

erosion

macule

crust

bullae

Answers

macule i do believe.

How is a physical change different to a chemical change. Give an example of a physical change.​

Answers

In a physical change the appearance or form of the matter changes but the kind of matter in the substance does not. However in a chemical change, the kind of matter changes and at least one new substance with new properties is formed

Answer:

Physical change is different to chemical change by that physical changes can be reversed, meaning it can be turned back to its original form, but chemical changes CANNOT! Chemical change is something that creates a NEW substances that cannot be reversed. It creates new forms.

Explanation:

Example of chemical change: Change in texture- fried egg. It cannot be turned back to its original form after it is fried.

I truly hope this is helpful!!

If so, please, please mark brainliest, i haven’t got any!

Thanks! Have  wonderful day! :)

An automobile has a mass of 1500 kg. What is the minimum uncertainty in the velocity (in miles per hour) when its center of mass is located with an uncertainty no greater than 1 cm

Answers

Answer:

[tex]\triangle v=1.57*10^-^3^5miles/hour[/tex]

Explanation:

From the question we are told that

Mass of of automobile M= 1500 kg

Generally the equation of the uncertainty principle is  given by

[tex]\triangle p=\frac{h}{ \triangle x}[/tex]

[tex]\triangle p=\frac{1.054*10^-^3^4}{ 10^-^2}[/tex]

[tex]\triangle p=1.054*10^-^3^2[/tex]

Generally the uncertainty in velocity is mathematically given by

[tex]\triangle v=\frac{\traingle p}{m}[/tex]

[tex]\triangle v=\frac{1.054*10^-^3^2}{1500}[/tex]

[tex]\triangle v=7*10^-^3^6m/s[/tex]

Therefore the minimum uncertainty in the velocity (in miles per hour)

[tex]\triangle v=7*10^-^3^6*\frac{3600}{1609.3}[/tex]

[tex]\triangle v=1.57*10^-^3^5miles/hour[/tex]

A horse is working steadily, providing 750 WW of output power. How much food energy does the horse need to work for 1 hour, to the nearest MJMJ

Answers

Answer:

2.7MJ

Explanation:

Power is expressed according to the formula

Power = work done/Time

The energy required is also known as the work done

Given

Power = 750Watts

Time = 1hr = 3600secs

Substitute the given values into the formula

750 = work done/3600

Work done = 750×3600

Work done = 2,700,000Joules

Convert to megajoules

Since

1MJ = 10^6Joules

x = 2.7×10^6Joules

Cross multiply

10^6x = 2.7×10^6

x = 2.7×10^6/10^6

x = 2.7

Hence the amount of energy absorber by the food in MJ is 2.7MJ

A 2-kg block sliding at 4.5m's north hits a wall and rebounds at 3.2 m s south What is the object's change in momentum?​

Answers

Answer:

2.6kgm/s

Explanation:

Momentum is the product of mass of an object and its velocity

Change in momentum = mass × change in velocity

Change in momentum = m∆v

Given

Mass m =2kg

Change in velocity ∆v = 4.5-3.2

∆v = 1.3m/s

Change in momentum = 2×1.3

Change in momentum = 2.6kgm/s

Hence the object change in momentum is 2.6kgm/s

An ion has 8 protons and 10 electrons. What is the total charge? *

+2
-2
+18
-18
+8
-10

Answers

The answer is -2 sjs

If it took you 5 seconds to move a rock 15 meters using a force of 150 Newtons, how much power did you need to use?
500 joules/sec
45 joules/sec
4,500 joules
450 joules/sec

Answers

Answer:

Given that:

Time taken = 5 seconds

Distance = 15 meters

Force = 150 Newtons

Power = ?

Recall that power is the rate of work done per unit time

i.e Power = work / time

(since work is a product of force and distance, then

power = (force x distance)/ time

Power = (150 Newtons x 15 m) / 5 s

Power = 2250 / 5

Power = 450 joules per second

Answer:

450 joules/sec

Explanation:

150 x 15 = 2,250

2,250 / 5 = 450

                = 450 joules/sec

PLEASE ITS AN Emergency IF ITS RIGHT I WILL GIVE BRAINLIEST

Answers

Answer:

all of those are pisitions

Explanation:

It is not possible to convert work entirely into heat. It is impossible to transfer heat from a cooler to a hotter body. The second law of thermodynamics is a consequence of the first law of thermodynamics. It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one to a hot one, depending on whether or not the process is reversible or irreversible. All of these statements are false.

Answers

Complete Question:

Which one of the following is a

true statement?

Group of answer choices.

A) The second law of thermodynamics is a consequence of the first law of thermodynamics.

B) It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one

to a hot one, depending on whether or not the process is reversible or irreversible.

C) It is not possible to convert work entirely into heat.

D) It is impossible to transfer heat from a cooler to a hotter body.

E) All of these statements are false.

Answer:

E) All of these statements are false.

Explanation:

All of the following statements are false;

I. The second law of thermodynamics is a consequence of the first law of thermodynamics. The second law of thermodynamics is about a physical quantity known as entropy while the first law of thermodynamics states that energy cannot be created or destroyed but can only be transformed from one form to another.

II. It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one

to a hot one, depending on whether or not the process is reversible or irreversible. According to the second law of thermodynamics this is false due to the entropy.

III. It is not possible to convert work entirely into heat. It is possible to completely convert work into heat because it involves transferring energy.

IV. It is impossible to transfer heat from a cooler to a hotter body.

what relationship must exist between an applied force and the velocity of a moving obkect if uniform circular motion is to result

Answers

Answer:

See explanation

Explanation:

The centripetal force keeps an object moving in a circular orbit at constant velocity. The velocity of an object undergoing uniform motion is always tangential to the circle while the centripetal force is directed towards the center of the circle.

This now implies that the direction of the force acting on a body undergoing circular motion at constant velocity is perpendicular to the direction in which the object is being displaced.

Allen and Jason are chucking a speaker around. On one particular throw, Allen throws the speaker, which is playing a pure tone of frequency f, at a speed of 10 m/s directly towards Jason, but his aim is a bit off. As a result, Jason runs forward towards the speaker at a speed of 6 m/s before catching it. Then, the frequency that Jason hears while running can be written as (m/n)f Hz, where m and n are relatively prime positive integers. Compute m n.

Answers

Answer:

Explanation:

We shall apply Doppler's effect of sound .

speaker is the source , Jason is the observer . Source is moving at 10 m /s , observer is moving at  6 m/s .

apparent frequency = [tex]f_o\times\frac{V+v_o}{ V-v_s}[/tex]

V is velocity of sound , v₀ is velocity of observer and v_s is velocity of source and f_o is real frequency of source .

Here V = 340 m/s , v₀ is 6 m/s , v_s is 10 m/s . f_o = f

apparent frequency =  [tex]f\times \frac{340+6}{340-10}[/tex]

= [tex]f\times \frac{346}{330}[/tex]

So m = 346 , n = 330 .

Which process is defined as breaking down rocks into smaller pieces without changing the rocks' compositions

Answers

Answer:

mechanical weathering

Explanation:

Answer:

Mechanical weathering is responsible for the composition of a rock

Explanation:

The answer is (D)

Help please !

In sexual reproduction, why is fertilization necessary to produce an organism ?

1. Fertilization allows an organism to receive a complete set of chromosomes -one set each parent .

2. Fertilization is needed to make the cell bigger . A bigger cell leads to the development of an organism .

3. Fertilization allows an organism to reproduce asexually , making identical clones of itself.

4. Fertilization is needed so that the egg cell can obtain nutrients from the sperm cell. Without these nutrients , an organism cannot develop .

Answers

Answer:

1. Fertilization allows an organism to receive a complete set of chromosomes -one set each parent.

Explanation:

A small lead ball, attached to a 1.10-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 1.3 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise

Answers

Answer:

1.84 m

Explanation:

For the small lead ball to be balanced at the tip of the vertical circle just before it is released, the reaction force , N equal the weight of the lead ball W + the centripetal force, F. This normal reaction ,N also equals the tension T in the string.

So, T = mg + mrω² = ma where m = mass of small lead ball, g = acceleration due to gravity = 9.8 m/s², r = length of rope = 1.10 m and ω = angular speed of lead ball = 3 rev/s = 3 × 2π rad/s = 6π rad/s = 18.85 rad/s and a = acceleration of normal force. So,

a = g + rω²

= 9.8 m/s² + 1.10 m × (18.85 rad/s)²

= 9.8 m/s² + 390.85 m/s²

= 400.65 m/s²

Now, using v² = u² + 2a(h₂ - h₁)  where u = initial velocity of ball = rω = 1.10 m × 18.85 rad/s = 20.74 m/s, v = final velocity of ball at maximum height = 0 m/s (since the ball is stationary at maximum height), a = acceleration of small lead ball = -400.65 m/s² (negative since it is in the downward direction of the tension), h₁ = initial position of lead ball above the ground = 1.3 m and h₂ = final position of lead ball above the ground = unknown.

v² = u² + 2a(h₂ - h₁)

So, v² - u² = 2a(h₂ - h₁)

h₂ - h₁ =  (v² - u²)/2a

h₂ =  h₁ + (v² - u²)/2a

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

h₂ =  1.3 m + ((0 m/s)² - (20.74 m/s)²)/2(-400.65 m/s²)

h₂ =  1.3 m + [-430.15 (m/s)²]/-801.3 m/s²

h₂ =  1.3 m + 0.54 m

h₂ =  1.84 m


A person should be able to find all the answers to their science questions in the text
book.
True
False

Answers

True is the answer because it’s a Sience book

It is a false statement that a person should be able to find all the answers to their science questions in the text because there are billions of scientific questions and it is almost impossible for any kind of textbook to contain all the answers.

What is science?

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals.

The idea that someone should be able to find all the answers to their scientific inquiries in the text is untrue since there are countless unanswered scientific questions, making it nearly impossible for any textbook to provide them all.

Thus, the statement is false.

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a 500g model rocket with a weight of 4.90 N is launched straight up. The small rocket burns for 5s and has a steady thrust of 20N. What maximum altitude does the rocket reach

Answers

Answer:

The maximum height reached by the rocket at the given time is 377.5 m.

Explanation:

Given;

mass of the rocket, m = 500 g = 0.5 kg

weight of the rocket, W = 4.9 N

Applied force or thrust of the rocket, F = 20 N

time of the rocket motion, t = 5 s

Apply Newton's second law of motion;

Applied force = Weight of the rock + Upward force of the rocket

F = W + ma

where;

a is the upward acceleration of the rock

[tex]a = \frac{F-W}{m} \\\\a = \frac{20 - 4.9}{0.5} \\\\a = 30.2 \ m/s^2[/tex]

The maximum height reached by the rock during the given time is calculated as;

h = ut + ¹/₂at²

h = 0 + ¹/₂at²

h = ¹/₂at²

h =  ¹/₂ (30.2)(5)²

h = 377.5 m

Therefore, the maximum height reached by the rocket at the given time is 377.5 m.

A point charge (q1) has a magnitude of 3.0 x10-6 C. A second charge (q2) has a magnitude of -1.5 x10-6 C and is located 0.12 m from the first charge. Determine the electrostatic force each charge exerts on the other.

Answers

Answer:2.81 N

Explanation:

Given

[tex]q_1=3\times 10^{-6}\ C\\q_2=-1.5\times 10^{-6}\ C[/tex]

distance between them r=0.12 m

Electrostatic force is [tex]F=\frac{kq_1q_2}{r^2}[/tex]

Putting values

[tex]F=\dfrac{9\times 10^9\times (3\times 10^{-6})\times (-1.5\times 10^{-6})}{0.12^2}\\F=2.81\ N[/tex]

Two identical carts are free to move along a straight frictionless track. At time t1, cart X is moving at 2.0 m/s when it collides with and sticks to cart Y, which is initially at rest. Draw the graphs that best shows the velocity of cart X before and after the collision?

Answers

Answer:

Explanation:

Using the law of conservation of momentum;

[tex]m_1 u_1+m_2u_2 = m_1v_1+m_2v_2[/tex]

here;

There is a need for conservation of the total momentum that occurred before and after the collision.

So;

[tex]m_1[/tex] = mass of cart X

[tex]m_2[/tex] = mas 9f cart Y

[tex]u_1[/tex] = velocity of cart X (before collision)

[tex]u_2[/tex] = velocity of cart Y (before collision)

[tex]v_1[/tex] = velocity of cart X (after collision)

[tex]v_2[/tex] = velocity of cart Y (after collision)

So;

[tex]m(u_1+0) =(m_1v+m_2)v[/tex]

because the mass is identical and v represents the velocity of both carts.

Now;

[tex]u_1[/tex] = 2 m/s

[tex]u_2[/tex] = 0 ( at rest)

m(2) = (2m)v

v = 1 m/s

Thus, we can see from the graphical image attached below that the velocity of X reduces to 1 m/s after collision with cart Y.

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Fill in the blank with the correct imperfect conjugation of the verb in the parentheses:Daniel ________ musica. (escuchar) If the diameter of Nicole's bike wheel is 90cm, what is the approximate distance the wheel travels in one revolution? Julio wants to deposit $1500 into savings accounts at three different banks: Bank of Chance, Merchant Bank, and Utopian Financing. He will deposit five times as much into Merchant Bank as Bank of Chance because they offer a higher interest rate. He also expects the Utopian Financing deposit to be only 25% of the total of the other two deposits. How much will Julio deposit into the Utopian Financing savings account?please show work I'm confused on how to solveA) 375B) 1000C) 200D) 300 Enter the fraction that names the whole.The fraction is ?? Which emotion is usually the result of acting in a way that does not agree with your values and beliefs?O HappinessO GuiltLoveO Anger What would limit a country's ability to specialize the MOST? 11 h/13 help plz h/13 is a fraction Pls help me with spanish. 1. Dnde ? (vivir, t)2. Dnde ? (trabajar, t)3. Yo no ... muy bien espaol. (hablar)4. Nosotros no . vosotros ? (bailar)5. Yo el ingls. (estudiar)6. Las nias muy bien. (cantar)7. normalmente msica disco? (escuchar, vosotros)8. Mis padres en Madrid (vivir). Dnde los tuyos? (vivir)9. Ud. aqu? (trabajar)10. Nosotras siempre en un restaurante. (comer)11. Ud. francs? (hablar)13. Uds. bien espaol? (hablar)14. Mi hija en verano de 8 a 15. (trabajar)15. Las tiendas no hasta las 9. (abrir)16. Mara muchas cartas a su familia. (escribir)17. Ud. poesa desde nio? (escribir)18. Los nios nunca beber alcohol. (deber)+19. mucho? (trabajar, vosotros) Who was the Cherokee leader who was a friend of Houston's and made a treaty with him? *Chief BowlesEdwin MooreWilliam GoyensJose NavarroWho was the mulatto who he Owen has a square sheet of paper that measures 1 foot on each side. He folds the paper vertically and horizontally so that it makes equal sections. The model below shows the unfolded paper. Pl help I will give you Brainly I need help and I SUCK at mathematics can yall help me I'm in 5th grade I NEED HELP ASAP, n this is the last one Help me with this, I'm being timed. As long as price is sufficient to cover ________, the firm is better off by operating rather than by shutting down. A) marginal cost B) average fixed cost The two quantitative elements of process variation are: Select one: a. common cause and special cause b. median and variance c. central tendency and spread d. inspection and detection HELPPPP WITH EQUATION round to the nearest tenth (IXL Pythagorean theorem) What was the hardest math problem you have ever done that you understand wasn't that hard A 3-gallon container of window cleaner costs $37.92. What is the price per cup?