The superhero Green Lantern steps from the top of a tall building. He falls freely from rest to the ground, falling half the total distance to the ground during the last 1.00 s of his fall (Fig. 2.30). What is the height h of the building?

SOLUTION GUIDE

IDENTIFY and SET UP

1. You’re told that Green Lantern falls freely from rest. What does this imply about his acceleration? About his initial velocity?

2. Choose the direction of the positive y -axis. It’s easiest to make the same choice we used for freely falling objects in Section 2.5.

3. You can divide Green Lantern’s fall into two parts: from the top of the building to the halfway point and from the halfway point to the ground. You know that the second part of the fall lasts 1.00 s. Decide what you would need to know about Green Lantern’s motion at the halfway point in order to solve for the target variable h. Then choose two equations, one for the first part of the fall and one for the second part, that you’ll use together to find an expression for h. (There are several pairs of equations that you could choose.)

EXECUTE

4. Use your two equations to solve for the height h. Heights are always positive numbers, so your answer should be positive.

Answers

Answer 1

Answer:

1) its initial velocity is zero, 2) the downward direction as positive

3) h = 25.66 m

Explanation:

This is a free fall exercise.

1) with falls, its initial velocity is zero and the acceleration is constant throughout the path and is equal to the acceleration due to gravity.

2) a widely used selection to estimate the downward direction as positive

3) We know that for the second part of the fall

         y₀ -y = h/2   at  t = 1 s

        y = y₀ + v₁ t + ½ g t²

where v₁ is the initial velocity of this interval at the point y = h / 2

        v₁ t = (y -y₀) - ½ g t²

        v₁ = h / 2 - ½ g t²

        v₁ = h/2 - g/2

now let's write the equation for the first interval

         v₁² = v₀² + 2 g (y₁ - y₀)

       in this interval v₀ = 0

         v₁² = 2 g (y₁ -y₀)

         v₁² = 2g h/2

we write our system of equations

           v₁² = (h/2 - g/2)²

           v₁² = (2g h / 2)

       

           (h /2 - g/2)² = (2g h / 2)

            h² / 4 - 2  g/2  h/2 + (g/2)² = g h

            h² / 4 - g h/2 - g h + g²/4 = 0

            h² - 3 g h + g² =0              

            h² - 29.4 h +96.04 = 0

we solve the quadratic equation

            h = [29.4 ±√ (29.4² - 4 96.04)] / 2

            h = [29.4 ± 21.91] / 2

            h₁ = 25.66 m

            h₂ = 3.75 m

As the system takes more than 1 S to fall, the correct answer for the height is h = 25.66 m

Answer 2

Answer 1)

This is a free fall exercise with falls, its initial velocity is zero and the acceleration is constant throughout the path and is equal to the acceleration due to gravity.

Answer B :

A widely used selection to estimate the downward direction as positive.

Answer 3:

We know that for the second part of the fall:

        y₀ -y = h/2   at  t = 1 s

       y = y₀ + v₁ t + ½ g t²

where v₁ is the initial velocity of this interval at the point

       y = h / 2

       v₁ t = (y -y₀) - ½ g t²

       v₁ = h / 2 - ½ g t²

       v₁ = h/2 - g/2

Answer 4:

Now let's write the equation for the first interval

        v₁² = v₀² + 2 g (y₁ - y₀)

      in this interval v₀ = 0

        v₁² = 2 g (y₁ -y₀)

        v₁² = 2g h/2

we write our system of equations

          v₁² = (h/2 - g/2)²

          v₁² = (2g h / 2)

          (h /2 - g/2)² = (2g h / 2)

           h² / 4 - 2  g/2  h/2 + (g/2)² = g h

           h² / 4 - g h/2 - g h + g²/4 = 0

           h² - 3 g h + g² =0              

           h² - 29.4 h +96.04 = 0

we solve the quadratic equation

           h = [29.4 ±√ (29.4² - 4 96.04)] / 2

           h = [29.4 ± 21.91] / 2

           h₁ = 25.66 m

           h₂ = 3.75 m

As the height is h = 25.66 m.

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Related Questions

the rotational speed of earth is similar to?​

Answers

Actually, the speed of the earth is the same everywhere, taking the angular speed as the valid measure of the speed

mechanical energy defintion

Answers

Answer:   Mechanical energy is the energy that is possessed by an object due to its motion or due to its position.

(The energy acquired by the objects upon which work is done)

Do 2. A cyclist starts from rest and accelerates along a straight path to a speed of
12.15 m/s in a time of 4.5 seconds.
What is the cyclist's acceleration to the nearest tenth?
O
54.7 m/s2
o
24.3 m/s?
2.7 m/s2
De
3.4 m/s?

Answers

The cyclist's acceleration to the nearest tenth is: C. 2.7 [tex]m/s^2[/tex].

Given the following data:

Initial velocity = 0 m/s (since the cyclist starts from rest).Final velocity = 12.5 m/s.Time = 4.5 seconds.

To find the cyclist's acceleration to the nearest tenth:

Acceleration is calculated by subtracting the initial velocity from the final velocity and dividing by the time.

Mathematically, acceleration is given by the formula;

[tex]A = \frac{V - U}{t}[/tex]

Where:

A is the acceleration.V is the final velocity.U is the initial velocity.t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

[tex]A = \frac{12.5\; - \;0}{4.5} \\\\A = \frac{12.5}{4.5}[/tex]

Acceleration, A = 2.7  [tex]m/s^2[/tex]

Therefore, the cyclist's acceleration to the nearest tenth is 2.7 [tex]m/s^2[/tex].

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Which best illustrates the electromagnetic force in action?
-a football being kicked
-leaves falling from tree
-flashlight
-neutron beta particle and proton

Answers

Answer:

neutron beta particle and proton (last option in the list)

Explanation:

The neutron beta particle and proton inside a neutron is a clear example of a negative particle (beta particle) and a positive particle (proton) experiencing electromagnetic force (attraction between positive and negative charges) at a very short distance.

Answer:

I'm pretty sure it's the flashlight because electromagnetic force produces electricity.

5
2. When you keep the mass the same and decrease the unbalanced force how does the acceleration change?

Answers

Answer:

The acceleration will decrease due to less force acting on the object.

Explanation:

A .25 kilogram baseball is thrown upwards with a speed of 30 meters per second. Neglecting friction the maximum height reached by the baseball is approximately

Answers

Answer: 46 meters

Explanation:

The maximum height reached by the base ball is 45.9 meters.

To find the maximum height the given values are,

Mass = 25 Kg

speed v = 30 meters per second.

What is the height of baseball reached?

As the ball goes up, it acts due to the gravity.

The gravity slows an upward-moving object,

Acceleration due to gravity = 9.8 m/s every second,

the baseball reaches its greatest height in (30/9.8) = 3.06 seconds.

At that instant, its speed is zero.

The baseball's average speed from toss to peak is

            (1/2) (30 + 0)  =  15 m/s .

The baseball average speed = 15 m/s

And the time for greatest height = 3.06 seconds.

Substituting the given values,

The ball rises can be calculated as

 (15 x 3.06)  =  45.9 meters.

Thus, the baseball reached the maximum height approximately is 45.9 meters.

Learn more about the height due to gravity,

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I WILL MARK YOU AS BRAINLIEST IF RIGHT
In order to climb up a mountainside, a train needs to start at a speed of 40 mph. The speed limit on the track, however, is 25 mph. How much time does the train need to get up to 40 mph if it can accelerate 4 mph per minute ?

Answers

Let's see what to do buddy.....

_________________________________

[tex]Acceleration = 4 \: \: \frac{mile}{ h } p( min ) [/tex]

Thus ;

The speed increases 4 units per minute.

The train has a speed of 25 mph now.

After a minute it has a speed of 29 mph.

After a minute it has a speed of 33 mph.

After a minute it has a speed of 37 mph.

Look ; 4 units per minute means 4 units per 60 seconds, thus the speed increases 1 unit per 15 seconds .

If the speed wants to increasing from 37 to 40 , needs 3 × 15 seconds = 45 sec.

So we have : 1 min + 1 min + 1 min + 45 sec .

3 minutes and 45 seconds or 225 seconds need to the speed increasing from 25 mph to 40 mph.

_________________________________

And we're done.....♥️♥️♥️♥️♥️

derive ideal gas equation for n mole of gas.​

Answers

Answer:

Explanation:

Ideal gas equation- The volume (V) occupied by the n moles of any gas has pressure(P) and temperature (T) Kelvin,

the relationship for these variables PV=nRT where R gas constant is called the ideal gas law

Derivation of the Ideal Gas Equation

Let us consider the pressure exerted by the gas to be ‘p,’

The volume of the gas be – ‘v’  

Temperature be – T  

n – be the number of moles of gas

Universal gas constant – R

According to Boyle’s Law,

it constant n & T, the volume bears an inverse relation with the pressure exerted by a gas.

i.e. v∝1p ………………………………(i)

According to Charles’ Law,

When p & n are constant, the volume of a gas bears a direct relation with the Temperature.

i.e. v∝T ………………………………(ii)

According to Avogadro’s Law,

When p & T are constant, then the volume of a gas bears a direct relation with the number of moles of gas.

i.e. v∝n ………………………………(iii)

Combining all the three equations, we have-

v∝nTp

or pv=nRT

where R is the Universal gas constant, which has a value of 8.314 J/mol-K

A device for acclimating military pilots to the high accelerations they must experience consists of a horizontal beam that rotates horizontally about one end while the pilot is seated at the other end. In order to achieve a radial acceleration of 29.9 m/s2 with a beam of length 5.33 m , what rotation frequency is required

Answers

Answer:

Rotation frequency is 0.377 hertz.

Explanation:

After a careful reading of statement, we need to apply the concept of radial acceleration due to uniform circular motion, whose formula is:

[tex]a_{r} = \omega^{2}\cdot L[/tex] (Eq. 1)

Where:

[tex]a_{r}[/tex] - Radial acceleration, measured in meters per square second.

[tex]\omega[/tex] - Angular velocity, measured in radians per second.

[tex]L[/tex] - Length of the beam, measured in meters.

Now we clear the angular velocity within:

[tex]\omega = \sqrt{\frac{a_{r}}{L} }[/tex]

If [tex]a_{r} = 29.9\,\frac{m}{s^{2}}[/tex] and [tex]L = 5.33\,m[/tex], the angular velocity is:

[tex]\omega = \sqrt{\frac{29.9\,\frac{m}{s^{2}} }{5.33\,m} }[/tex]

[tex]\omega \approx 2.368\,\frac{rad}{s}[/tex]

The frequency is the number of revolutions done by device per second and can be found by using this expression:

[tex]f = \frac{\omega}{2\pi}[/tex] (Eq. 2)

Where [tex]f[/tex] is the frequency, measured in hertz.

If we know that [tex]\omega \approx 2.368\,\frac{rad}{s}[/tex], then rotation frequency is:

[tex]f = \frac{2.368\,\frac{rad}{s} }{2\pi}[/tex]

[tex]f = 0.377\,hz[/tex]

Rotation frequency is 0.377 hertz.

If this piece of abductin is 3.1 mm thick and has a cross-sectional area of 0.49 cm2 , how much potential energy does it store when compressed 1.5 mm ?

Answers

Complete question:

A scallop forces open its shell with an elastic material called abductin, whose Young's modulus is about 2.0×10⁶ N/m2 .

If this piece of abductin is 3.1 mm thick and has a cross-sectional area of 0.49 cm2 , how much potential energy does it store when compressed 1.5 mm ?

Answer:

The elastic potential energy of the material is 0.036 J

Explanation:

Given;

Young's modulus, E = 2.0×10⁶ N/m²

Thickness of the abductin, l = 3.1 mm = 0.0031 m

compression of the abductin, x = 1.5 mm = 0.0015 m

area, A = 0.49 cm² = 0.49 x 10⁻⁴ m²

Young's modulus for elastic material is given by;

[tex]E = \frac{stress}{strain} = \frac{Fl}{Ax} \\\\ E = \frac{F}{x}*\frac{l}{A}\\\\ E = k*\frac{l}{A}\\\\k = \frac{AE}{l}\\\\k = \frac{(0.49 x10^{-4})(2*10^6)}{0.0031}\\\\ k = 31,612.9 \ N/m[/tex]

The elastic potential energy of the material is given by;

U = ¹/₂kx²

U = ¹/₂(31,612.9)(0.0015)²

U = 0.036 J

Therefore, the elastic potential energy of the material is 0.036 J

Stokes’ law describes sedimentation of particles in liquids and can be used to measure viscosity. Particles in liquids achieve terminal velocity quickly. One can measure the time it takes for a particle to fall a certain distance and then use Stokes’ law to calculate the viscosity of the liquid. Suppose a steel ball bearing (density 7.8 \times 10^3~\text{kg/m}^37.8×10 ​3 ​​ kg/m ​3 ​​ and diameter 3.0~\text{mm}3.0 mm) is dropped in a container of motor oil. It takes 12 s to fall a distance of 0.60 m. Calculate the viscosity of the oil.

Answers

Answer:

The viscosity is  [tex]\eta  = 0.76243 \ kg/ m \cdot s [/tex]  

Explanation:

From the question we are told that

  The  density is  [tex]\rho  =  7.80 *10^{3} \  kg/m^3[/tex]

  The diameter is  [tex]d =  3.0 \  mm =0.003 \ m[/tex]

    The  time taken is  [tex]t  =  12 \ s[/tex]

   The  distance covered is  [tex]d =  0.60 \ m[/tex]

Generally the velocity of the ball is  

      [tex]v  =  \frac{d}{t}[/tex]

=>    [tex]v  =  \frac{0.60}{12}[/tex]

=>    [tex]v  =  0.05 \ m/s [/tex]

Generally the mass of the steel ball is  

    [tex]m  =  \rho  *  V[/tex]

Here  V  is the volume and this is mathematically represented as

     [tex]V  =  \frac{4}{3} *  \pi  * [\frac{d}{2}  ]^3[/tex]

=>    [tex]V  =  \frac{4}{3} *  3.142  * [\frac{0.003}{2}  ]^3[/tex]

=>      [tex]V  = 1.414 *10^{-8} \  m^3[/tex]

So

     [tex]m  = 7.80 *10^{3}  *   1.414 *10^{-8}[/tex]

     [tex]m  = 0.00011 \  kg [/tex]

Generally the viscosity is mathematically represented as  

     [tex]\eta  =  \frac{m  *  g}{6\pi  *  r  *  v }[/tex]

Here  r is the radius represented as

      [tex]r =  \frac{d}{2}[/tex]

=>   [tex]r =  \frac{0.003}{2}[/tex]

[tex]r =  0.0015  \  m [/tex]

So

  [tex]\eta  =  \frac{0.00011  *  9.8}{6 *  3.142   * 0.0015  * 0.05 }[/tex]    

=> [tex]\eta  = 0.76243 \ kg/ m \cdot s [/tex]

leaves uses_,_and_to make food for the plant​

Answers

light, water, carbon dioxide

Explanation:

c02 , h20 and light

Light water and carbon dioxide

Two cars traveling in the same direction pass you at exactly the same time . The car that is going faster

Answers

moves farther in the same amount of time.

Explanation:

based on my answer......

we supposed to assume that both cars are equal except for speed. So they would have the same mass.....

Anyway, the question doesn't tell you anything about weight or size, so you can't tell from the information given which has more mass.

But the very definition of 'faster' is 'moves farther in the same amount of time'.

Hope this helps

Answer:

They both moves at the same speed

Explanation:

hope it works


What happens to the temperature of a substance while it is changing state?​

Answers

Answer:

its temperature stays constant

Explanation:

If you hold a piece of copper wire in an open flame, which of the following will most likely happen?
The heat will travel through the wire to your hand.
The light will change into electricity.
The flame will absorb heat from the wire.
The ſame will get brighter.

Answers

Answer:

The heat will travel through the wire to your hand.

Explanation:

Thats the one that makes the most sense.

explain what happent to the pressure exerted by an object when the area over which it is exerted:
a) increase
b) decrease​

Answers

The pressure decreases if the area increases. If the area decreases then the pressure increases.

Oil is a powerful source of energy used for cars, machines, and many other purposes. While studying sources of energy that could replace the use of oil, a student thinks about solar power, wind power, nuclear power, and electric batteries. The students asks, "Which type of source will waste the least energy and provide the most energy in all situations?" Which best describes why a scientist would ask a different question than this one?

The question asks about subjective personal preferences regarding energy.

The question focuses on the objective measurements of amounts of energy.

The question has too wide of a focus, as though all situations can be studied at once.

The question is focused on the future and finding new answers about changing needs.

Answers

Answer:

The question has too wide of a focus, as though all situations can be studied at once

Explanation:

I took the test

Answer:

The question has too wide of a focus, as though all situations can be studied at once

Explanation:

i took ed test

An object is traveling with a velocity of 3.05 m/s. The object then accelerates at 2.82 m/s-over a
displacement of 18.4 m. What is its final velocity?

Answers

Answer:

Final velocity (v) = 5.148 m/s (Approx)

Explanation:

Given:

Initial velocity (u) = 3.05 m/s

Acceleration (a) = 2.82 m/s²

Displacement (s) = 18.4 m

Find:

Final velocity (v)

Computation:

v² = u² + 2as

v² = (3.05)² + 2(2.82)(3.05)

v² = 9.3025 + 17.202

v² = 26.5045

v = 5.148 m/s (Approx)

A Coolie raises a box of mass 20 kg to a height of 1.5m. If the force of gravity on 1 kg is 10N. The work done by the Coolie is​

Answers

Solution:
Mass(m)=20kg
Displacement (s)=1.5m
For 1 kg force of gravity=10N
We have,
F=mg
or,10=1xg
or g=10m/s^2
Then,
Total work done by the coolie(W)=force x displacement
or,W=mxgxs
=20x10x1.5
=300J

Find the required angular speed, ω, of an ultracentrifuge for the radial acceleration of a point 2.10 cm from the axis to equal 5.00×105 g (where g is the free-fall acceleration)

Answers

Answer:

ω = 15275.25 rad/s

Explanation:

Given that,

Radial acceleration of an ultracentrifuge is, [tex]a=5\times 10^5g[/tex]

Distance from the axis, r = 2.1 cm = 0.021 m

g is the free-fall acceleration such that g = 9.8 m/s²

We need to find the angular speed of an ultracentrifuge. The formula that is used to find the angular speed is given by formula as follows :

[tex]a=r\omega^2[/tex]

Putting all the values,

[tex]\omega=\sqrt{\dfrac{a}{r}} \\\\\omega=\sqrt{\dfrac{5\times 10^5\times 9.8}{0.021}} \\\\\omega=15275.25\ rad/s[/tex]

So, the required angular speed, ω, of an ultracentrifuge is 15275.25 rad/s.

PLS URGENT!!
A radio station sending out a radio wave of frequency 100.5MHz at velocity of 3×10⁸ms⁻¹. At what wavelength is the radio station broadcasting

Answers

Wavelength = velocity / frequency = 3 x 10^8 / 100.5 x 10^6 = 2.99 m

HELP PLSSSSSSSSSjjdndnsnsj

Answers

Answer:

i feel like 3 not too sure tho

Sedimentary rock turns into magnum through which process

Answers

Sedimentary rocks are formed when sediment is deposited out of air, ice, wind, gravity, or water flows carrying the particles in suspension. This sediment is often formed when weathering and erosion break down a rock into loose material in a source area.

Where is the magnetic south pole compared to the geographical north pole?

Answers

Currently, the magnetic south pole lies about ten degrees distant from the geographic north pole, and sits in the Arctic Ocean north of Alaska. The north end on a compass therefore currently points roughly towards Alaska and not exactly towards geographic north.

I don't quite understand. Can you help please?

Answers

C. It was mainly concerned about wildlife.

Birds and other wild animals can be scared away from the area. This would affect the ecosystem and the local webchains.

Types of muscle tissue includes

Skeletal muscle

Cardiac muscle

Smooth muscle

All of the above

Answers

Answer:

D. all of the above

Explanation:

hope it helps

D. All of the above


How much is the weight of a 1 kg mass at the pole and the equator of the earth

Answers

Given parameters:

Mass given  = 1kg

Unknown:

Weight of the body at pole and equator = ?

Solution:

Both locations are on the surface of the earth. Generally, we take 9.8m/s² as the acceleration due to gravity on the earth.  

       Weight  = mass x acceleration due to gravity

But little disparity occurs in the value of acceleration due to gravity from the pole to equator. This is due to equatorial bulge.

   At the equator  , 9.780 m/s²

               pole  9.832 m/s²

Weight at equator = 1 x 9.780  = 9.78N

Weight at the pole = 1  x 9.832 = 9.832N  

Find the magnitude of the magnetic field that will cause the electron to follow the semicircular path from A to B.

Answers

Answer:

[tex]B=1.61\times 10^{-4}\ T[/tex]

Explanation:

The attached figure shows the path followed by an electron in the semicircular path from A to B.

Velocity of the electron is, [tex]v=1.42\times 10^6\ m/s[/tex]

It can be seen from the figure that the radius of thenpath, r = 5 cm or 0.05 m

The magnetic force acting on the electron is balanced by the centripetal force acting on it. It means,

[tex]Bqv=\dfrac{mv^2}{r}[/tex]

B is the magnitude of the magnetic field

[tex]B=\dfrac{mv}{rq}\\\\\text{Putting all the values}\\\\B=\dfrac{9.1\times 10^{-31}\times 1.42\times 10^6}{0.05\times 1.6\times 10^{-19}}\\\\B=1.61\times 10^{-4}\ T[/tex]

So, the magnitude of the magnetic field is [tex]1.61\times 10^{-4}\ T[/tex].

The magnitude of the magnetic field that will cause the electron to follow the semicircular path from A to B will be  [tex]B=1.61\times 10^-{4]\ T[/tex]

What is magnetic field?

The magnetic field is defined as when the current passes through the wire, then the magnetic field is generated around the wire in a circular pattern.

The attached figure shows the path followed by an electron in the semicircular path from A to B.

The velocity of the electron is, [tex]v=1.42\times 10^6\ \frac{m}{s}[/tex]

It can be seen from the figure that the radius of then path, r = 5 cm or 0.05 m

The magnetic force acting on the electron is balanced by the centripetal force acting on it. It means,

[tex]Bqv=\dfrac{mv^2}{r}[/tex]

B is the magnitude of the magnetic field

[tex]B=\dfrac{mv}{rq}[/tex]

[tex]B=\dfrac{9.1\times 10^{-31}\times1.42\times 10^6}{0.05\times 1.6\times 10^{-19}}[/tex]

[tex]B=1.61\times 10^{-4}\ T[/tex]

So, the magnitude of the magnetic field is  [tex]B=1.61\times 10^-{4]\ T[/tex]

To know more about the magnetic field, follow

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Please help I don’t know how to do this

Answers

the answer is 3.17647059 hours

Answer:

3.176 hours

Explanation:

given:

distance = 270 km

speed = 85 km/h

find:

how long does it take to get into his audition in hours?

solution:

velocity = distance / time

85 km/h =  270 km  

                      t

85 (t) = 270

t = 270 / 85

t = 3.176 hours

On the surface of the earth the weight of an object is 200 lb. Determine the height of the
object above the surface of the earth, in miles, for the object to register a weight of 125
pounds.

Answers

Answer:

The height of the  object is 5007.4 miles.

Explanation:

Given that,

Weight of object = 200 lb

We need to calculate the value of [tex]Gmm_{e}[/tex]

Using formula of gravitational force

[tex]F=\dfrac{Gmm_{e}}{r^2}[/tex]

Put the value into the formula

[tex]200=\dfrac{Gmm_{e}}{(3958.756)^2}[/tex]

[tex]200\times(3958.756)^2=Gmm_{e}[/tex]

[tex]Gmm_{e}=3.134\times10^{9}[/tex]

We need to calculate the height of the  object

Using formula of gravitational force

[tex]F=\dfrac{Gmm_{e}}{r^2}[/tex]

Put the value into the formula

[tex]125=\dfrac{200\times(3958.756)^2}{r^2}[/tex]

[tex]r^2=\dfrac{200\times(3958.756)^2}{125}[/tex]

[tex]r^2=25074798.5[/tex]

[tex]r=\sqrt{25074798.5}[/tex]

[tex]r=5007.4\ miles[/tex]

Hence. The height of the  object is 5007.4 miles.

Other Questions
Diana wanted to make peanut brittle for a holiday party, so she bought a 16.5-ounce jar of peanuts at the grocery store. She used 3 5 of the peanuts to make peanut brittle. The next week, she split the remaining peanuts into 3 bags of trail mix for a hike with friends. How many ounces of peanuts did Diana put in each bag of trail mix? Anyone have an idea? what is the answer pleas tell me 2. Ten football teams are playing in a league.Each team played each of the other teams exactlyonce. How many matches were played in theleague? Calculate the acceleration of a student riding his bicycle in a straight line that speeds up from 4 m/s to 6 m/s in 5 seconds. How is a polar molecule different from non polar molecule whats 8/10 = ?/20I REALLYYYYYYYYYY NEED HELP WITH THIS!!!!!!!!!!!!!!!!!! 8. The graph shows the relationship between the United States dollar andthe euro, the currency of the European Union, in December 2011. Part A:What is the constant of proportionality shown in the graph?*Exchange Rate (December 6, 2011)YA(400, 300)300Number of euros200(250, 187.50)100(120, 90)0100 200 300 400Number of US dollarsYour answer Which of the following correctly illustrates a dipeptide and an amino acid in the optimal position to form a tripeptide? A motorcycle travels 25 miles every 0.5 hour The explicit rule for a sequence and one of the specific terms is given. Find the position of the giventerm.f(n) = 1.25n+ 12.5; 2525 is the BLANK th term Find the mean-21,-34,-37,-52,-56Help me please this is due in 5 minutes Helpppp please . Find the missing angle -10+8y=10 I cant figure it out , can someone help please. Clarissa sells handmade bracelets for each. The graph below shows her profits after expenses.What does the point represent? 3. What is the relationship between motif and theme? Motifs are used to create themesMotifs are a type of themeThemes are used to create motifsthemes are types of Motif The newspaper, The constellation, printed in 1859, had width 20 in and length 35 in. What was the perimeter? What was the area? Identify the type of sensory Imagery in the passage below:They hissed and groaned and hooted as they clamored, "Strike him outi"O soundO sightO tasteO touchsmellNEXT QUESTIONASK FOR HELP Which is the best tourism place in India ? PLEASE ANSWER ASAP!For her school Science ft Alyssa designs an experiment to learn more abouterosion. Her experimental set up is shown belowUsing the illustration shown above, determine which of the following statements bestdescribes the independent variable itest variable). this experiment:A The speed she pours the water, since it is the same for all trials.B The amount of water she pours, because the amount she pours is the same.C The height of the tray, because this is a change that may cause and effect on the experiment.D The mass of sand that collects at the bottom of the tray, because this is what is being measured or observed.