This problem relates to a design competition in which a 1-kg battery-powered vehicle must be propelled up a 0.9-m tall ramp within a 15-second time interval. a. For a run time of 9 seconds, how much power must the battery supply to the vehicle

Answers

Answer 1

Answer:

P = 0.98 W

Explanation:

Given that,

Mass, m = 1 kg

Height, h = 0.9 m

(a) We need to find power must the battery supply to the vehicle for a run time of 9 seconds. Power is given by work done divided by time. It can be given by :

[tex]P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{1\times 9.8\times 0.9}{9}\\\\P=0.98\ W[/tex]

So, the required power is 0.98 W.


Related Questions

What is the answer to this question?

Answers

Answer:

C I just did it. so yeah....

Strictly based upon physical characteristics I think

"The magnitude of the acceleration due to gravity on the surface of planet A is twice as great as on the surface of planet B. What is the ratio of the weight of mass X on the surface of planet A to its weight on the surface of planet B?"

Answers

Answer:

2 : 1

Explanation:

Given that The magnitude of the acceleration due to gravity on the surface of planet A is twice as great as on the surface of planet B. What is the ratio of the weight of mass X on the surface of planet A to its weight on the surface of planet B?"

Since the magnitude of the acceleration due to gravity on the surface of planet A is twice as great as on the surface of planet B. And

Weight W = mg

Mass is always constant

2g : g

The ratio of the weight of mass X on the surface of planet A to its weight on the surface of planet B will be:

2 : 1

Which of the following statements is true?

Anemia can be avoided by eating a diet rich in calcium.
CAT scans use powerful magnets and radio signals to view the inside of the body.
X-rays are only useful for viewing broken bones.
Exercise can reduce pain, relieve stress, and increase energy.

Answers

Answer:

c

Explanation:

Answer:

Exercise can reduce pain, relieve stress, and increase energy.Explanation:

How fast would a 4.75 cm copper bar have to move at right angles to a 0.700 T magnetic field to generate 1.50 V (the same as a AA battery) across its ends

Answers

Answer:

ω = 1899.5 radian / s

Explanation:

EMF induced by a rotating rod = 1 /2 B ω L² where ω is angular velocity of rod and L is its length . B is magnetic field

1 /2 B ω L² = 1.5

1/2 x .7 x ω x .0475² = 1.5

ω = 1899.5 radian / s

Which would increase the speed of a sound wave?
O A wave passes from a solid to a liquid while remaining the same temperature.
O The medium increases in temperature while remaining in the same phase.
O The medium decreases in temperature while remaining in the same phase.
O A wave passes from a liquid to a gas while remaining the same temperature.
(First correct answer with explanation gets Brainliest)​

Answers

Answer:

B. The medium increases in temperature while remaining in the same phase.

Explanation: The most important factor influencing the speed of sound in air is temperature. The speed is proportional to the square root of the absolute temperature, giving an increase. Due to this information, B is the best answer.

which of the following statements about mass and weight is correct?
A. "Mass" is the scientific term for "weight''
B. Weight directly measures force while mass directly measures amount of matter.
C. Weight has unit of kilograms or grams. Mass has unit of newtons.
D. The mass of an object depends on the size of the object. The weight of an object dosent depend on the size of the object.

Answers

The correct answer is B. Weight directly measures force while mass directly measures the amount of matter.

Explanation:

Weight and mass are two related but not identical concepts. The first term "mass" can be found by measuring the amount of matter in a body or substance. For example, the mass in an apple is around 80 grams depending on its size. In this context, mass is measured using units such as grams or kilograms. On the other hand, weight considers not only the matter in an object but the force exerted in it, especially, the gravitational force. In the case of the apple, the weight is 1 N as newtons (N) are used to measure force and this is the result of multiplying the mass by gravity. According to this, option B is correct.

You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on you

Answers

Answer:

The absolute pressure on me increases to 130,900 Pa.

Explanation:

Since I dive to a depth of 2.0 m, there is a depth change of 2.0 m which will cause a corresponding pressure change. The pressure change is thus ΔP = ρgΔh where ρ = density of water = 1000 kg/m³, g = acceleration due to gravity = 9.8m/s² and Δh = depth change = 2.0 m

ΔP = ρgΔh  =  1000 kg/m³ × 9.8m/s² × 2.0 m = 19,600 Pa.

Since the absolute pressure P at 1.0 m is the pressure due to atmosphere plus the pressure of 1.0 m of water, we have

P = P₀ + ρgΔh' where P₀ = atmospheric pressure = 101,500 Pa and Δh' = 1.0 m

P = 101,500 Pa + 1000 kg/m³ × 9.8m/s² × 1.0 m = 101,500 Pa + 9800 Pa = 111,300 Pa

So, the absolute pressure at 2.0 m is P' = P + ΔP = 111,300 Pa + 19,600 Pa = 130,900 Pa.

So the absolute pressure on me increases to 130,900 Pa.

Carmen is helping load furniture and boxes onto a moving truck. She picks up boxes of her things, places them on a cart, and pushes the cart to the moving van. Which term best describes the type of force Carmen uses?
A. contact
B. friction
C. gravity (this one is wrong)
D. noncontact(this one is wrong)

Answers

A. Contact
Their you go!

What is the answer to this question?

Answers

Answer:

c

Explanation:

Answer:

b

Explanation:

A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.34 x 104 rad/s to an angular speed of 4.37 x 104 rad/s. In the process, the bit turns through 3.10 x 104 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 7.43 x 104 rad/s, starting from rest?

Answers

Answer:

2.66 s

Explanation:

Given The initial angular speed ([tex]\omega_o[/tex]) =  1.34 x 10⁴ rad/s, the final angular speed (ω) = 4.37 x 10⁴ rad/s, the angular acceleration (α), distance (θ) = 3.10 x 10⁴ rad.

Using the formula:

[tex]\omega^2=\omega_o^2+2\alpha \theta\\\\Substituting:\\(4.37*10^4)^2=(1.34*10^4)^2+2(3.1*10^4)\alpha\\\\(4.37*10^4)^2-(1.34*10^4)^2=2(3.1*10^4)\alpha\\\\2(3.1*10^4)\alpha=1.73*10^9\\\\\alpha=2.79*10^4\ rad/s^2[/tex]

The constant acceleration = 2.79 * 10⁴ rad/s.

Since there is constant acceleration, to reach a final speed of  7.43 x 10⁴ rad/s, we use the formula:

[tex]\omega =\omega_o +\alpha t\\\\\omega_o=0,\omega=7.43*10^4\ rad/s,\alpha=2.79*10^4\ rad/s^2\\\\Substituting:\\\\7.43*10^4=0+2.79*10^4t\\\\7.43*10^4=2.79*10^4t\\\\t=2.66\ s[/tex]

The position vector r of a particle relative to a certain point has a magnitude of 3m , and the force F on the particle has a magnitude of 4N . What is the angle between the directions of r and F if the magnitude of the associated torque equals

Answers

Answer:

θ = 0

Explanation:

As per the question Given that

Magnitude = 2m

Force F contains MAgnitude = 4N

Based on the above information

T = rFsinθ

Now if

T = 0,

so r and F would not be zero so that sinθ  should be equivalent to zero for holding an equation

Therefore

θ = 0

The same is to be considered as it is relevant as per the question

A current of 6.67 A in a solenoid of length 13.6 cm creates a 0.373 T magnetic field at the center of the solenoid. How many turns does this solenoid contain?

Answers

Answer:

The value is  [tex]N = 6051 \ turns[/tex]

Explanation:

From the question we are told that

   The current is  [tex]I = 6.67 \ A[/tex]

  The length is  [tex]l = 13.6 \ cm = 0.136 \ m[/tex]

  The magnetic field is  [tex]B = 0.373 \ T[/tex]

Gnerally the number of turn per unit length is mathematically represented as

      [tex]n = \frac{B}{\mu_o * I}[/tex]

Here [tex]\mu_o[/tex] is the permeability of free space with value  [tex]\mu_o = 4*\pi*10^{-7}[/tex]

So

=>    [tex]n = \frac{0.373}{ 4\pi * 10^{-7} * 6.67 }[/tex]

=>    [tex]n = 44496 \ turns /m[/tex]

Generally the number of turn is mathematically represented as

       [tex]N = n * l[/tex]

=>  [tex]N = 44496 * 0.136[/tex]

=>  [tex]N = 6051 \ turns[/tex]

The no of turns dos this solenoid contains will be 6051 turns.

What is a solenoid?

A coil of wire that carries an electric current is a solenoid. A solenoid is an electromagnet formed by a helical coil of wire. Which generates a magnetic field when an electric current is passed through the coil .

The given data in the problem is;

B is the current =6.67 A

L is the length =13.6 cm=0.136 m

B is the magnetic field =0.373 T  

The number of turns per unit length is found as;

[tex]\rm n= \frac{B}{\mu_0I} \\\\ \rm n= \frac{0.373}{4 \times 3.14 \times 10^{-7}\times 6.67} \\\\ \rm n = 44496 \ turn /m[/tex]

The number of turns is found as;

[tex]\rm N=n\times l \\\\ \rm N=44496\times 0.136 \\\\ \rm N=6051 \ turns[/tex]

Hence the no of turns dos this solenoid contains will be 6051 turns.

To learn more about the solenoid refer to the link ;

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What happens when the forces applied to an object at rest produce a net force of zero?

1.The object will not move at all.

2.The object will have positive acceleration.


3.The object will change its direction of motion.

Answers

Answer:

1. The object will not move at all.

Explanation:

The question above is related to "Newton's First Law of Motion." According to this law, an object that is at rest will remain in its position (at rest) unless acted upon by "unbalanced forces." If the forces applied to an object are balanced, the net force is zero. This means that the object will not move nor accelerate.

The law also mentioned that if the object is in motion, it will remain in same velocity (speed with direction) if there's no net force.

A nearby highway is being designed for traffic whose speed limit is 90km/h. If most people become uncomfortable on banked curve larger than 45 degrees, what is the minimum radius you could design the curve

Answers

Answer:

The minimum radius of the curve is 6125 m

Explanation:

Given;

speed limit of the highway, V = 90 km/h = 25 m/s

banking angle, θ = 45°

The minimum radius of the curve will be calculated by applying banking angle formula;

[tex]mg tan \theta = F_{centripetal \ force}\\\\mg tan \theta = \frac{mv^2}{r}\\\\ g tan \theta = \frac{v^2}{r}\\\\r = \frac{v^2}{ g tan \theta}\\\\r = \frac{(25)^2}{(9.8)(1)} \\\\r = 6125 \ m[/tex]

Therefore, the minimum radius of the curve is 6125 m

What is the wavelength emitted by compound BB that have spectral line detected at position 12.15 cmcm

Answers

Complete question is;

A chemist identifies compounds by identifying bright lines in their spectra. She does so by heating the compounds until they glow, sending the light through a diffraction grating, and measuring the positions of first-order spectral lines on a detector 15.0 cm behind the grating. Unfortunately, she has lost the card that gives the specifications of the grating. Fortunately, she has a known compound that she can use to calibrate the grating. She heats the known compound, which emits light at a wavelength of 461 nm, and observes a spectral line 9.95 cm from the center of the diffraction pattern.

What is the wavelength emitted by compound B that have spectral line detected at position and 12.15 cm?

Answer:

λ ≈ 525 nm

Explanation:

The diffraction grating equation of n-th order is given by;

nλ = dsinθₙ

For 1st order, n=1. Thus;L, we have;

λ = dsinθ₁

We are told that the first-order spectral lines on a detector 15.0 cm behind the grating. Also that, she observes a spectral line 9.95 cm from the center of the diffraction pattern.

Therefore, the angle of the known compound's 1st order is given by the relation:

tanθ₁ = 9.95/15

tanθ₁ = 0.6633

θ₁ = tan⁻¹(0.6633)

θ₁ = 33.56º

We are told that the unknown compound emits light at a wavelength of 461 nm.

Thus, from the first order equation above, we have;

d = λ/sinθ₁

d = 461nm/sin(33.56º)

d = 461nm/0.55281

d ≈ 834nm

λ = dsinθ₁= 870nm sin(29.68º) = 431nm

Now, spectral line is given as 12.15 cm from the center of the diffraction pattern. Thus;

θ₁ = tan⁻¹(12.15/15)

θ₁ = tan⁻¹(0.81)

θ₁ = 39°

Since λ = dsinθ₁

Thus;

λ = 834sin(39°)

λ = 834 × 0.6293

λ ≈ 525 nm

two forces act on a 6 kg object. one of the forces is 10 N. if the object accelerates at 2 m/s^2, what is the greatest possible magnitude of the other force

Answers

Answer:

22N

Explanation:

Let the two forces be acting in the horizontal direction on the object.

Given

Mass m = 6kg

One of the force = 10N

acceleration = 2m/s²

Taking the sum of forces along the x component, we will have:

[tex]\sum F_x = ma_x\\Ff - 10 = 6(2)\\Ff - 10 = 12\\Ff = 12+10\\Ff = 22N[/tex]

Note that Ff is the greatest possible magnitude of the other force.

Hence the greatest possible magnitude of the other force is 22N

In which of the following situations shows no acceleration of the car?
O A car shortly after a stoplight turns green.
A car approaching a red light
O A car with the cruise control set at 80 km/h
O A car turning a curve at a constant speed
Other:

Answers

It’s D I took the test

Answer:

I think A, a car shortly after a stoplight turns green OR if it's wrong it's B☺️

The gravitational potential energy of a 88 kg person in a building that is 385 m tall is 332,024 J. The person then jogs up the stairs, an additional distance of 100 meters.

How would the potential energy of the person be affected?
A) There would be no change.
B) The potential energy would double.
C) The potential energy would increase almost 25%
D) The potential energy would decrease more than 50%.

Answers

Answer:

Part C

Explanation:

The potential energy would increase almost 25%

gas is escaping from a sperical ballom 4 cm3 per minute .how fast is the surface area shrinking when radius is 24cm

Answers

Answer:

dS/dt = 0.33 cm²/min

Explanation:

Volume of sphere is given by;

V = (4/3)πr³

We are told that gas is escaping from a spherical balloon 4 cm³ per minute. Thus; dV/dt = 4 cm³/min

Now, let's find the rate at which the radius is changing.

dr/dt = (dV/dt) ÷ (dV/dr)

Now, dV/dr = 4πr²

Thus;

dr/dt = 4/(4πr²)

dr/dt = 1/(πr²)

Now, surface area of sphere is given by;

S = 4πr²

Thus, dS/dr = 8πr

Now, let's find the rate at t which area is shrinking.

dS/dt = (dS/dr) × (dr/dt)

Plugging relevant terms, we have;

dS/dt = 8πr × 1/(πr²)

dS/dt = 8/r

At r = 24 cm, we have;

dS/dt = 8/24

dS/dt = 1/3

dS/dt = 0.33 cm²/min

What is the normal force acting on a mountain goat that weighs 550 N and is standing on such a slope

Answers

Answer:

Explanation:

We have that the normal force acting on a mountain goat that weighs 550 N and is standing on such a slope is

N=275N

From the question we are told

Mountain goats can easily scale slopes angled at 60∘ from horizontal.  What is the normal force acting on a mountain goat that weighs 550 N and is standing on such a slope?

Generally the equation for the normal force acting on a mountain goat   is mathematically given as

N=mgcos

N=550*cos60

N=275N

Therefore

The normal force acting on a mountain goat that weighs 550 N and is standing on such a slope is

N=275N

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A person in a grocery store is standing carrying a big sack of rice (that has a mass of 10 kg) on the top of his head. Where is his CG located relative to his original CG (i.e when he is standing without the sack of rice on his head)
a) Higher than his original CG
b) Lower than his original CG
c) At the same point as his original CG
d) Insufficient information

Answers

Answer:

The CG is located higher than his original CG.

Explanation:

Centre of gravity (CG), in physics, an imaginary point in a body of matter where, for convenience in certain calculations, the total weight of the body may be thought to be concentrated. In a uniform gravitational field the centre of gravity is identical to the centre of mass, a term preferred by physicists.

 His CG is located higher than his original CG when he is standing without the sack of rice on his head.

A system is said to be in stable equilibrium if, when displaced from equilibrium, it experiences a net force or torque in a direction opposite to the direction of the displacement. A system is in unstable equilibrium if, when displaced, it experiences a net force or torque in the same direction as the displacement from equilibrium. A system is in neutral equilibrium if its equilibrium is independent of displacements from its original position. A marble on a flat horizontal surface is an example.

Photons with the lowest energy have the lowest
A. wavelength
B. self-esteem
C. frequency
D. speed

Answers

Answer:

c frequency

hope it helps:))

Explanation:

To solve this we must be knowing each and every concept related to photon. Therefore, the correct option is option C. Photons with the lowest energy have the lowest frequency.

What is photon?

A photon, also known as a light quantum, is a small energy packet containing electromagnetic radiation. The idea came from Albert Einstein's explanation of something like the photoelectric phenomenon (1905), in which he hypothesized the possibility of energy levels packets during light transmission.

Photons all move just at speed of light. Photons are bosons that have no electric charge and rest mass one and unit of spin; they were field particle that are assumed to be the bearers of electromagnetic field. Photons with the lowest energy have the lowest frequency.

Therefore, the correct option is option C. Photons with the lowest energy have the lowest frequency.

To know more about photon, here:

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Which picture shows an example of no work being done?

Answers

B, Its the one with the kid trying to lift a weight.

Explanation:

Got it right Edge 2020.

Answer:

it's the weights kid!!! the other user got it thank them, i got it right bc of them :)

Explanation:

A space vehicle is traveling at 4140 km/h relative to Earth when the exhausted rocket motor is disengaged and sent backward. The relative speed between the motor and the command module is then 99 km/h. The mass of the motor is four times the mass of the module. What is the speed of the command module relative to Earth just after the separation

Answers

Answer:

V_ce = 1128 m/s

Explanation:

We are given;

Speed of space vehicle relative to the earth; V_i = 4140 km/h = 1150 m/s

relative speed between the motor and the command module; V_mc = 99 km/h = 27.5 m/s

mass of the motor is four times the mass of the module.

If the mass of the module is m

Mass of motor = 4m

From conservation of momentum, since the system is isolated, then;

Initial momentum = final momentum.

Thus;

MV_i = 4m(V_me) + m(V_ce) - - - (eq 1)

Where;

M is mass of space vehicle

V_me is speed of motor relative to the earth

V_ce is speed of command module relative to the earth

Now, relative speed between the motor and the command module is given by the formula;

V_mc = V_me - V_ce

Thus, V_me = V_mc + V_ce

Putting (V_mc + V_ce) for V_me in eq 1, we have;

MV_i = 4m(V_mc + V_ce) + m(V_ce)

Now, the mass of the space vehicle will be the sum of the mass of the module and mass of the motor.

Thus;

M = m + 4m

M = 5m

Thus;

5mV_i = 4m(V_mc + V_ce) + m(V_ce)

Divide through by m to get;

5V_i = 4(V_mc + V_ce) + (V_ce)

5V_i = 4V_mc + 4V_ce + V_ce

5V_i = 4V_mc + 5V_ce

We want to find the speed of the command module relative to Earth just after the separation. Thus, let's make V_ce the subject;

V_ce = (5V_i - 4V_mc)/5

V_ce = ((5 × 1150) - (4 × 27.5))/5

V_ce = 1128 m/s

why is the unit of power called derived unit​

Answers

Answer:The ampere is unique in that it uses the base unit of time (t) in its definition (second). All other electrical and magnetic units (such as voltage, power, and magnetic flux) use various combinations of base units in their definitions and are called derived units.

Explanation:

An object attached to a spring is pulled across a horizontal frictionless surface. If the force constant (spring constant) of the spring is 45 N/m and the spring is stretched by 0.88 m when the object is accelerating at 1.4 m/s2, what is the mass of the object?

Answers

Answer:

Approximately [tex]28.3\; \rm kg[/tex], assuming that the spring was pulled horizontally.

Explanation:

Let [tex]k[/tex] denote the spring constant of this spring. Calculate the size of tension in this spring that corresponds to the [tex]\Delta x = 0.88\; \rm m[/tex] stretch:

[tex]F(\text{tension}) = k\cdot \Delta x = 45\; \rm N \cdot m^{-1} \times 0.88\; \rm m = 39.6\; \rm N[/tex].

(The negative sign is ignored.)

If the spring is pulled horizontally, then the tension that the spring exerts would be the only unbalanced force on this object. The net force n this object would be equal to the tension that the spring had exerted: [tex]39.6\; \rm N[/tex].

Newton's Second Law of motion suggests the following relation between the net force [tex]\sum F[/tex] on the object, the mass [tex]m[/tex] of the object, and the acceleration [tex]a[/tex] of the object:

[tex]\sum F = m \cdot a[/tex].

For this object, [tex]a = 1.4\; \rm m \cdot s^{-2}[/tex]. It has been found that the net force on this object is [tex]\sum F = 39.6\; \rm N[/tex]. Rearrange the original equation [tex]\sum F = m \cdot a[/tex] and solve for [tex]m[/tex], the mass of this object:

[tex]\displaystyle m = \frac{\sum F}{a} = \frac{39.6\; \rm N}{1.4\; \rm m \cdot s^{-2}} \approx 28.3\; \rm kg[/tex].

In other words (based on all these assumptions,) the mass of this object should be approximately [tex]28.3\; \rm kg[/tex].

A force of 1.46 N pushes against an object with a mass of 0.10 kg for 3.00 min. The object does not move. What is the work done on the object by the force

Answers

Answer:

0 J

Explanation:

Given data

force F=1.46N

mass m=0.1kg

time t= 3min

distance= 0 meters----"the object did not move"

We know that work-done is given as

work= Force * distance moved

Work= 1.46*0

work =0joules

We understand that when this is no distance move, then there is no work done, for work to be done, the object must move through a distance

Which of the following equipment is related to fencing?
A.
Sabre
B.
Bib
C.
Épée
D.
All of the above

Answers

This answer is
D. All if the above

You throw a ball downward from a window at a speed of 1.7 m/s. How fast will it be moving when it hits the sidewalk 2.5 m below?

Answers

Answer:

7.43m/s

Explanation:

Given parameters:

Initial velocity = 1.7m/s

Height  = 2.5m

Unknown:

Final velocity  = ?

Solution:

To solve this problem, we apply one of the motion equation. The most fitting one given the parameters is;

           V²  = U² + 2gh

where V is the final velocity

           U is the initial velocity

          g is the acceleration due to gravity = 9.8m/s

           h is the height

Input the parameters and solve;

    V² = 2.5² + 2(9.8)(2.5)

    V = 7.43m/s

Two sailors, Popped-Eye and Mack Sparrow, are using identical pulleys to lift sunken treasure to their ship. Popped-Eye's treasure is three times heavier than Mack Sparrow's. Each sailor lifts his treasure an identical distance. Popped-Eye lifts his treasure the entire distance in 30s. Mack Sparrow requires twice as much time.
Which statement below is true regarding Popped-Eye's and Mack Sparrow's relative power?
A) Their power is equal.
B) Popped-Eye is 3 times more powerful than Mack Sparrow.
C) Popped-Eye is 6 times more powerful than Mack Sparrow.
D) Popped-Eye is 1.5 times more powerful than Mack Sparrow.

Answers

Answer:

Popped-Eye is 3 times more powerful than Mack Sparrow.

Explanation:

Popped-Eye is 6 times more powerful than Mack Sparrow.

What is power?

In science and engineering, power is the rate at which work is completed or energy is delivered. It can be expressed as the product of the work completed (W) or the energy transferred (E) divided by the time interval (t), or W/t.

Given parameters:

Popped-Eye's treasure is three times heavier than Mack Sparrow's.

Mack Sparrow requires twice as much time.

So, Popped-Eye can lift  times heavier treasure  in half of time compere to Mack Sparrow .

Hence, Popped-Eye's power is 3÷(1/2) = 3×2 = 6 times more than Mack Sparrow's.

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During the Safavid Empire, Islam split into two groups. These groups were called ___________ & _______________. a. the Orthodox and the western c. the Persian and the Umayyad b. Sunni & the Shia d. the Ottomans and the Mughals Please select the best answer from the choices provided A B C D Certain individuals are able to fully memorize a large matrix of numbers in a matter of seconds. One lesson to be learned from this demonstration is that 2. How do most fossils form?1 Living things die and their remains are buried by sediments.2 The hard parts of an organism dry out in the air.3 The soft parts of an organism change to stone.4 Freezing preserves the remains of an organism. How did colonial governments give English colonists experience in self-rule? Psychoanalysis, humanistic therapy, and group therapy are all forms of insight therapies that take place in a safe, emotional environment where the client is able to __________. A. express themselves freely B. focus on negative qualities C. change distorted thinking patterns D. modify maladaptive behaviors 1 Sound waves, water waves, and light waves are all alike in that they all ____________. 4|3-2x|-1=47 in simplest form In the Little Prince, the Prince visits a small asteroid called B612. If the asteroid has a radius of 20.0 m and a mass of 2.00 x 10^4kg, what is the acceleration due to gravity on the asteroid (G=6.67x10-11N m2/kg2)? ( will give Brainliest and 91 points please helppp) I WILL GIVE BRAINLYEST What were three actions Sam Houston planned to use to address Texas' debt that resulted from the Texas Revolution?HELP I WILL GIVE BRAINLYEST the establishment clause of the first amendment has often been interpreted to mean _____a)separation of church a d stateb)legal formation of labor unionsc)rules for selecting grand jury membersd)protection from slander and libel what type of substance is made of one type of matter A. a compoundB. a solutionC. a colloid D. an element Where is the Golgi Body in an animal cell? quadratic equations The fact that no one answered my questions is immaculate Name the layers of Earth starting at the crust and going in. Describe the composition of each layer. Enter your answer in the space provided.Plss help!!! You'll be Brainliest!- Earth Science The questions are attached to here. Please help! What is the equation of the line that is perpendicular tothe given line and passes through the point (5, 3)?O 4r-5y=5O 5x+4y= 374x+5y=55x - 4y=8 Yosef has a neighbor who is pregnant and nutritionally at risk. She has dropped out of school and lost her job. Which program should Yosef recommend to his neighbor? Women, Infants, and Children (WIC) Boys & Girls Club programs What is the GCF of 12x and 28x^3