The extension produced on the wire by the application of 300 N force is 2 mm. The elastic energy stored on the wire is​

Answers

Answer 1

Answer:

150000 is the answer to the question


Related Questions

If you exert 6 N across a distance of 2 m in 3 s you'll deliver a power of

Answers

Answer:

power = 4 watt

Explanation:

work done = force * distance

=6*2

=12 joule

power = work done/time taken

=12/3

=4 watt

As the force is exerted across the given distance and time, the power delivered 4Watts.

Power and Work

Power is simply referred to as the quantity of energy transferred per unit time.

It is expressed as;

P = Work done / time elapsed = W / t

Work is simply the measure of energy transfer that takes place when an object is moved over a given distance by a push or pull force.

It is expressed as;

W = Force × distance = F × d

Hence;

Power P = W / t

Power P = (  F × d ) / t

Given the data in the question;

Force exerted F = 6N = 6kgm/s²Distance covered d = 2mTime elapsed t = 3sPower P = ?

To determine the power delivered, we substitute our given values into the derived equation above.

P = (  F × d ) / t

P = (  6kgm/s² × 2m ) / 3s

P = ( 12kgm²/s² ) / 3s

P = 4kgm²/s³

P = 4Watts

Therefore, as the force is exerted across the given distance and time, the power delivered 4Watts.

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A conducting sphere of radius R carries an excess positive charge and is very far from any other charges. Draw the graphs that best illustrates the potential (relative to infinity) produced by this sphere as a function of the distance r from the center of the sphere?

Answers

Answer:

See annex

Explanation:

By convention potential at ∞    V(∞ ) = 0

As the distance from the sphere decreases the potential increases up to the point d = R  ( R is the radius of the sphere. That potential remains constant while d = R and becomes 0 inside the sphere where there is not free charges and therefore the electric field is 0 and so is the potential.

I am sorry I could not make a better graph

The graph that best  illustrates the potential (relative to infinity) produced by this sphere as a function of the distance r from the center of the sphere is attached as an image below

[tex]V = \frac{KQ}{R}[/tex]

for r <= R

[tex]V = \frac{KQ}{r}[/tex]

for  r > R  

Therefore the graph will be

For more information on potentials as function of distance

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Một chất điểm chuyển động tròn đều, sau 5 giây nó quay được 20 vòng. Chu kì quay của chất điểm là:

Answers

Answer:

T=0,25s

Explanation

5s>20vong  1s>4vong

omega= 8pi

omega=2pi/T

Can someone write this question clearly and send it to me? Don't just say the answer. Draw and write clearly please​

Answers

Explanation:

acceleration is weight*gravity

tension is the weight In Newtons

a soap bubble was slowly enlarged from radius 4cm to 6cm and amount of work necessary for enlargement is 1.5 *10 calculate the surface tension of soap bubble joules​

Answers

Answer:

The surface tension is 190.2 N/m.

Explanation:

Initial radius, r = 4 cm

final radius, r' = 6 cm

Work doen, W = 15 J

Let the surface tension is T.

The work  done is given by

W = Surface Tension x change in surface area

[tex]15 = T \times 4\pi^2(r'^2 - r^2)\\\\15 = T \times 4 \times 3.14\times 3.14 (0.06^2- 0.04^2)\\\\15 = T\times 0.0788\\\\T = 190.2 N/m[/tex]

What is 1 second….???? Give a meaningful answer…..

Answers

Explanation:

.....................................

Answer:

1 second is defined as 1/86400th part of a mean solar day.

A 2.7 kg mass is connected to a spring (k=159 N/m) and is sliding on a horizontal frictionless surface. The mass is given an initial displacement of +19 cm and released with an initial velocity of -13 cm/s. Determine the acceleration of the spring at t=3.4 seconds.

Answers

Answer:

The acceleration of the spring at [tex]t = 3.4\,s[/tex] is -29339.947 centimeters per square second.

Explanation:

The mass-spring system experiments a Simple Harmonic Motion, whose kinematic expression is the following:

[tex]x(t) = A\cdot \cos \left(\sqrt{\frac{k}{m} }\cdot t + \phi\right)[/tex] (1)

Where:

[tex]x(t)[/tex] - Position, in centimeters.

[tex]A[/tex] - Amplitude, in centimeters.

[tex]k[/tex] - Spring constant, in newtons per meter.

[tex]m[/tex] - Mass, in kilograms.

[tex]\phi[/tex] - Phase, in radians.

By Differential Calculus, we derive expression for the velocity and acceleration of the mass-spring system:

[tex]v(t) = -\sqrt{\frac{k}{m} }\cdot A\cdot \sin \left(\sqrt{\frac{k}{m} }\cdot t +\phi\right)[/tex] (2)

[tex]a(t) = -\frac{k\cdot A}{m}\cdot \cos \left(\sqrt{\frac{k}{m} }\cdot t +\phi\right)[/tex] (3)

Where [tex]v(t)[/tex] and [tex]a(t)[/tex] are the velocity and acceleration of the system, in centimeters per second and centimeters per square second, respectively.

If we know [tex]m = 2.7\,kg[/tex], [tex]k = 159\,\frac{N}{m}[/tex], [tex]t = 0\,s[/tex], [tex]x(t) = 19\,cm[/tex] and [tex]v(t) = -13\,\frac{cm}{s}[/tex], then we have the following system of nonlinear equations:

[tex]A \cdot \cos \phi = 19[/tex] (1)

[tex]-7.674\cdot A \cdot \sin \phi = - 13[/tex] (2)

If we divide (2) by (1):

[tex]-7.674\cdot \tan \phi = -0.684[/tex]

[tex]\tan \phi = 0.089[/tex]

[tex]\phi = \tan^{-1} 0.089[/tex]

[tex]\phi \approx 0.028\,rad[/tex]

By (1), we get the value of the amplitude:

[tex]A = \frac{19}{\cos \phi}[/tex]

[tex]A = 19.075\,cm[/tex]

If we know that [tex]A = 19.075\,cm[/tex], [tex]k = 159\,\frac{N}{m}[/tex], [tex]m = 2.7\,kg[/tex], [tex]t = 3.4\,s[/tex] and [tex]\phi \approx 0.028\,rad[/tex], then the acceleration of the spring is:

[tex]a(t) = -29339.947\,\frac{cm}{s^{2}}[/tex]

The acceleration of the spring at [tex]t = 3.4\,s[/tex] is -29339.947 centimeters per square second.

What is the weight on Earth of an object with mass 45 kg. Hint gravity = 10 N/kg *
1 point
45 N
450 N
450 kg
10N

Answers

Answer:

450N

Explanation:

weight= m*g

weight=45*10

weight=450N

what is the resistance of a bulb of 40w connected in a line of 70v​

Answers

Answer:

122.5 ohm

Explanation:

Given :

P=40 w

V= 70 V

R=?

Resistance can be calculated as :

[tex]P=\frac{V^{2} }{R} \\40=\frac{(70)^{2} }{R}\\40=\frac{4900}{R} \\R=\frac{4900}{40} \\R=122.5 ohm[/tex]

Therefore, resistance of the bulb will be 122.5 ohm

Which of the following is acceleration toward the center of a circular motion? O A. Centripetal acceleration O B. Uniform circular motion O C. Centrifugal force D. Centripetal force
PLEASE HELP ASAP!!​

Answers

We call the acceleration of an object moving in uniform circular motion— resulting from a net external force—the centripetal ...

China's GDP passed one trillion USD between Between 2005 and 2010, China's GDP increased by approximately

Answers

Answer:

1995 and 2000 , 4 trillions

Explanation:

Answer:

1995 and 2000.4 trillion

Explanation:

Edge 2021

6. Which of these contain muscles that are not under the mind's control? (Select all that apply.)


Answers

Answer:

a   c

Explanation:

edu 2021

Ocean waves of wavelength 22 m are moving directly toward a concrete barrier wall at 4.6 m/s . The waves reflect from the wall, and the incoming and reflected waves overlap to make a lovely standing wave with an antinode at the wall. (Such waves are a common occurrence in certain places.) A kayaker is bobbing up and down with the water at the first antinode out from the wall.

Required:
a. How far from the wall is she?
b. What is the period of her up-and-down motion?

Answers

Answer:

a)  [tex]d=11m[/tex]

b)  [tex]T=4.68s[/tex]

Explanation:

From the question we are told that:

Wavelength [tex]\lambda=22m[/tex]

Velocity [tex]v=4.6m/s[/tex]

a)

Generally the equation for distance between her and the wall d is mathematically given by

Since

The First Anti node distance is [tex]\frac{\lambda}{2}[/tex]

Therefore

 [tex]d= \frac{\22}{2}[/tex]

 [tex]d=11m[/tex]

b)

Generally the equation for her up-and-down motion is mathematically given by

 [tex]T=\frac{22}{4.7}[/tex]

 [tex]T=4.68s[/tex]

A bowling ball with a mass of 8 kg is moving at a speed of 5 m/s. What is its
kinetic energy?

Answers

Answer:

100J

Explanation:

Kinetic energy=1/2mv^2

Kinetic energy=(1/2 x 8)x5^2

Kinetic energy=4x25

Kinetic energy=100

100J

A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find the velocity and speed (in m/s) when t = 5. f(t) = 18 + 48/t + 1

Answers

Answer:

The velocity of the particle = -1.92 m/s

The speed of the particle = 5.72 m/s

Explanation:

Given equation of motion;

[tex]f(t) = 18 \ + \ \frac{48}{t} \ + \ 1[/tex]

Velocity is defined as the change in displacement with time.

[tex]V = \frac{df(t)}{dt} = -\frac{48}{t^2} \\\\at \ t = 5 \ s\\\\V = -\frac{48}{5^2} = \frac{-48}{25} = - 1.92 \ m/s[/tex]

The distance traveled by the particle in 5 s:

[tex]s = f(5) = 18 + \frac{48}{5} + 1\\\\s= 28.6 \ m[/tex]

The speed of the particle when t = 5s

[tex]Speed = \frac{28.6}{5} = 5.72 \ m/s[/tex]

HELP ME PLEASE!!!
Which 2 statements are true about this chemical reaction that forms acid rain?

Answers

Answer:

B.

Explanation:

HNO2 is less stable thus dissociates easily to HNO3 + NO + H2O while HNO3 is a strong acid. Thus when they react with H2O they form acid rain

Answer:

B

Explanation:

dont have one just trust me

6)An electric field of 6 N/C points in the positive X direction. What is the electric flux through a surface that is 4 m2, if its surface normal isin the XY plane and along a line that isinclined at 60 degrees to the positive Y axisand 30 degrees to the positive X axis

Answers

Answer:

Flux is 21 Nm^2/C.

Explanation:

Electric field, E = 6 N/C along X axis

Electric filed vector, E = 6 i N/C

Area, A = 4 square meter

Area vector

[tex]\overrightarrow{A} = 4 (cos30 \widehat{i} + sin 30 \widehat{j})\\\\\overrightarrow{A} = 3.5 \widehat{i} + 2 \widehat{j}\\[/tex]

The flux is given by

[tex]\phi= \overrightarrow{E}.\overrightarrow{A}\\\\\phi = 6 \widehat{i} . \left (3.5 \widehat{i} + 2 \widehat{j} \right )\\\\\phi = 21 Nm^2/C[/tex]

Five air-filled parallel-plate capacitors have the plate areas and plate separations listed below, where A and d are constants. The capacitors are each connected to the same potential difference. Which capacitor stores the greatest amount of energy?

a.
Area: 2A
Separation : d/2
b.
Area: 2A
Separation : 2d
c.
Area: A
Separation : d
d.
Area: A/2
Separation : d/2
e.
Area: A/2
Separation : 2d

Answers

Answer:

The answer is "Option A"

Explanation:

Energy stored in capcitor[tex]=\frac{1}{2}\ cv^2[/tex]

For point A:

[tex]C_A=\frac{\varepsilon_0 2A}{\frac{d}{2}}=\frac{4\ \varepsilon_0 A}{d}\\\\[/tex]

For point B:

[tex]C_B=\frac{\varepsilon_0 2A}{2d}=\frac{\varepsilon_0 A}{d}\\\\[/tex]

For point C:

[tex]C_c=\frac{\varepsilon_0 A}{d}\\\\[/tex]

For point D:

[tex]C_D=\frac{\varepsilon_0 A}{2 \frac{d}{2}}=\frac{\varepsilon_0 A}{d}\\\\[/tex]

For point E:  [tex]C_E=\frac{\varepsilon_0 A}{2 \times 2d}=\frac{\varepsilon_0 A}{4d}\\\\[/tex]

therefore C_A has the maximum capacitance and max energy same energy is dir proportional to C for the same J

A puck moves 2.35 m/s in a -22.0 direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50 degree direction. What was the direction of the acceleration?

Answers

Answer:

48.9 is the answer I think !

Answer:

28.4

Explanation:

You are packing for a trip to another star, and on your journey you will be traveling at a speed of 0.99c. Can you sleep in a smaller cabin than usual, because you will be shorter when you lie down? Explain your answer.

Answers

Explanation:

No. From your own reference frame, nothing will change. Everything will look the same to you even if you're traveling at 99% speed of light. However, an outside observer will see you shrink to about 14% of your original length along the direction of your motion according to the Lorentz contraction predicted by special relativity:

[tex]L=L_{0} \sqrt{1 - \frac{v^2 }{c^2 }}[/tex]

If you warm up the volume of a balloon but keep the pressure the same, you would be using which gas law?

Answers

Answer:

Charles law

Explanation:

Charle's law states that the volume (V) of a given gas is directly proportional to the absolute temperature (T) at a constant pressure.

That is;

: V ∝ T

: V/T = K

According to this question, the volume of a balloon is warmed up but the pressure is kept the same. Charles law will be used because it shows the relationship between the volume (V) and the temperature (heat) at a constant pressure (P).

A 1.50-V battery supplies 0.414 W of power to a small flashlight. If the battery moves 4.93 1020 electrons between its terminals during the time the flashlight is in operation, how long was the flashlight used?

Answers

Answer:

2.86×10⁻¹⁸ seconds

Explanation:

Applying,

P = VI................ Equation 1

Where P = Power, V = Voltage, I = Current.

make I the subject of the equation

I = P/V................ Equation 2

From the question,

Given: P = 0.414 W, V = 1.50 V

Substitute into equation 2

I = 0.414/1.50

I = 0.276 A

Also,

Q = It............... Equation 3

Where Q = amount of charge, t = time

make t the subject of the equation

t = Q/I.................. Equation 4

From the question,

4.931020 electrons has a charge of (4.931020×1.6020×10⁻¹⁹) coulombs

Q = 7.899×10⁻¹⁹ C

Substitute these value into equation 4

t =  7.899×10⁻¹⁹/0.276

t = 2.86×10⁻¹⁸ seconds

A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal range of the ball from the base of the platform is 20 m. What is the horizontal velocity of the ball just before it touches the ground?

Answers

Explanation:

the answer is in the above image

Two astronauts, each having a mass of 88.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.40 m/s. Treating the astronauts as particles, calculate each of the following.

a. the magnitude of the angular momentum of the system
b. the rotational energy of the system
c. What is the new angular momentum of the system?
d. What are their new speeds?
e. What is the new rotational energy of the system

Answers

Answer:

a)   L = 4.75 103 kg m² / s,  b)  K_total = 2.57 10³ J,  

c)   L₀ = L_f =4.75 103 kg m² / s,  d)  K = 1.03 10⁴ J,  K = 1.03 10⁴ J

Explanation:

a) the angular momentum is the sum of the angular momentum of each astronaut

the distance is measured from the center of the circle r = 10/2 = 5.0 m

            L = 2m v r

            L = 2  88.0 5.40 5.0

            L = 4.75 103 kg m² / s

b) rotational kinetic energy

            K = ½ I w²

As there are two astronauts, the total energy is the sum of the energy of each no.

The moment of inertia of a point mass

             I = m r²

             I = 88 5²

             I = 2.2 10³ kg m²

             

the angular velocity is given by

             v = w r

             w = v / r

             w = 5.40 / 5

             w = 1.08 rad / s

the kinetic energy of the system

             K_total = 2 K

             K_total = 2 (½ I w²)

             K_total = 2.2 10³ 1.08²

             K_total = 2.57 10³ J

c, d) as astronauts are isolated in space, these speeds do not change unless there is an interaction between them, for example they approach each other, suppose they reduce their distance by half

             r = 2.5 m

             I = 88 2.5²

             I = 5.5 10² kg m²

for the change in angular velocity let us use the conservation of moment

            L₀ = L_f

            2Io wo = 2 I w

            w = Io / I wo

            w = 2.2 10³ / 5.5 10² 1.08

            w = 4.32 rad / s

linear velocity is

            v = w r

            v = 4.32 2.5

             K = 1.03 10⁴ J

the kinetic energy of the system is

            K = 5.5 10² 4.32²

            K = 1.03 10⁴ J

The tendency for objects to resist acceleration is called *
A) motion
B) inertia
C) reaction force
D) sluggishness

Answers

Answer:

B) Inertia is the answer

Steve pushes a crate 20 m across a level floor at a constant speed with a force of 200 N, this time on a frictionless floor. The velocity of the crate is in the direction of the force Steve is applying to the crate. What is the net work done on the crate

Answers

Answer:

The correct answer is "4000 J".

Explanation:

Given that,

Force,

= 200 N

Displacement,

= 20 m

Now,

The work done will be:

⇒ [tex]Work=Force\times displacement[/tex]

By putting the values, we get

              [tex]=200\times 20[/tex]

              [tex]=4000 \ J[/tex]

In a 2-dimensional Cartesian coordinate system the y-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function, with respect to the angle between vector and y-axis?

a. sine
b. cosine
c. tangent
d. cotangent

Answers

Answer:

Option b, cosine.

Explanation:

Below you can see an image that illustrates this situation.

Remember that for a triangle rectangle with a given angle θ, we have:

Cos(θ) = (adjacent cathetus)/(hypotenuse)

In the image, you can see a vector of magnitude M, and the angle θ defined between the vector and the positive y-axis.

In this case, the y-component is the adjacent cathetus and the hypotenuse is the magnitude of the vector.

Then we will have:

Cos(θ) = (adjacent cathetus)/(hypotenuse) = y/M

solving that for y, we get:

y = Cos(θ)*M

Then the y-component is the vector's magnitude multiplied by the cosine of the angle between the vector and the y-axis.

The correct option is b.

Answer:

(b) cosine

Explanation:

In a 2-dimensional Cartesian coordinate system, a vector has a x-component and/or a y-component. To get these components, the magnitude of the vector is resolved with respect to the x-axis and the y-axis by multiplying it (the magnitude) by some trigonometric function with respect to the angle between the vector and the x or y axis.

For example, given a vector A of magnitude A which makes an angle α with the x-axis and an angle β with the y-axis, the x and y components of the vector A can be found as follows;

i. x-component is given by [tex]A_{x}[/tex]

[tex]A_{x}[/tex] = A cos α (with respect to the angle between A and the x-axis)  or

[tex]A_{x}[/tex] = A sin β (with respect to the angle between A and the y-axis)

ii. y-component is given by [tex]A_{y}[/tex]

[tex]A_{y}[/tex] = A sin α (with respect to the angle between A and the x-axis)  or

[tex]A_{y}[/tex] = A cos β (with respect to the angle between A and the y-axis)

Therefore, the y-component of a vector in a 2-dimensional Cartesian coordinate is given by the product of the magnitude of the vector and the cosine of the angle between the vector and the y-axis.

Lonnie pitches a baseball of mass 0.500 kg. The ball arrives at home plate with a speed of 35.0 m/s and is batted straight back to Lonnie with a return speed of 50.0 m/s. If the bat is in contact with the ball for 0.055 s, what is the impulse experienced by the ball

Answers

Answer:

Explanation:

The impulse equation is

Δp = FΔt, where Δp = final momentum - initial momentum, F is the Force exerted on an object, and Δt is the change in time. In this equation,the entire right side defines the impulse. In other words, FΔt is the impulse; thus the change in momentum an object experiences is due to its change in impulse and is directly proportional to it.

Therefore, once we find the change in momentum, that is the impulse the object experiences. Δp = final momentum - initial momentum, where

p = mv and p is momentum.

[tex]p_f=(.500)(50.0)[/tex] so

[tex]p_f=25.0[/tex] and

[tex]p_i=(.500)(35.0)[/tex] so

[tex]p_i=17.5[/tex]; therefore,

Δp = 25.0 - 17.5 = 7.5[tex]\frac{kg*m}{s}[/tex] which is the unit for momentum

The magnitude of the impulse experienced by the ball is equal to 7.5  Kg.m/s.

What is impulse?

Impulse experienced by an object can be described as the integral of a force over a time interval. Impulse can be defined as a vector quantity as the force is a vector. Impulse generates an equivalent vector change in the linear momentum of the object.

The S.I. unit of impulse can be defined as N⋅s and the dimensionally similar to the unit of momentum is kg⋅m/s. A resultant force offers acceleration and changes the velocity as long as it acts.

Given the mass of the baseball, m= 0.500 Kg

The initial speed of the baseball, u = 35 m/s

The final speed of the baseball, v = 50 m/s

The change in the linear momentum gives the impulse experienced by the ball.

I = ΔP = mv - mu

I = 0.500 ×50 - 0.500 × 35

I = 25 - 17.5

I = 7.5  Kg.m/s

Therefore, the magnitude of the impulse is 7.5  Kg.m/s.

Learn more about Impulse, here:

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two groups of students carry out experiments to investigate the relationships between force and extenstion

Answers

Answer:

They investigated Hooke's law.

Explanation:

[tex]{ \tt{force \: \alpha \: extension }} \\ { \boxed{ \bf{F = kx}}} \\ x \: is \: extension \\ F \: is \: force \\ k \: is \: constant : k = 1[/tex]

In a collision that is not perfectly elastic, what happens to the mechanical energy of the system?
a. All of the mechanical energy is converted into other forms
b. Some of the mechanical energy is converted into other forms
c. No mechanical energy is converted into other forms​

Answers

C.

Thanks me later, that's my answer.

In a collision that is not perfectly elastic, some of the mechanical energy is converted into other forms.

In a perfect elastic collision, both momentum and kinetic energy of the particles are conserved.

[tex]m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2[/tex]

[tex]\frac{1}{2} m_1 u_1^2 + \frac{1}{2} m_2 u_2 ^2= \frac{1}{2} m_1 v_1^2 + \frac{1}{2} m_2 v_2^2[/tex]

When the collision is not perfectly elastic, only momentum is conserved but the kinetic energy is not conserved.

Thus, we can conclude that in a collision that is not perfectly elastic, some of the mechanical energy is converted into other forms.

Learn more here:https://brainly.com/question/18432099

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With a photograph taken in a professional studio In a photograph taken in someone's bedroom In a photograph taken on vacation at a historical site In a photograph with a distracting background Help please DictionList four strong, important words from your poem.In two to four complete sentences, think about each word and answer the following questions about each word.What do these words tell us about the authors tone? How does he/she feel? Is the word positive, negative, or neutral? What emotions are associated with this word?ImageryRead your poem and choose an image the poet describes. Type or write it here.In complete sentences, think about this image and answer the following questions.How does this image reflect the authors tone? How does he/she feel?DetailsRead your poem and choose two to three details the poet uses to describe a person or scene. Type or write it here.In complete sentences, think about these details and answer the following questions.What do these details tell us about the authors tone? How does he/she feel? What is the effect of those details? Do they paint a particular picture?SyntaxRead your poem and type or write one or two lines in which the poet uses a unique syntax. Type or write it here.In complete sentences, think about this syntax and answer the following questions.What does this syntax tell us about the authors tone? How does he/she feel? Does the writer use punctuation marks to create pauses or communicate emotion?Tone: Based on the evidence in this chart for your poem, what is the authors overall tone (how does he or she feel) regarding the subject of the poem?I have to answer the questions listed above using this poem: The Fistby Darek WalcottThe fist clenched round my heartloosens a little, and I gaspbrightness; but it tightensagain. When have I ever not lovedthe pain of love? But this has movedpast love to mania. This has the strongclench of the madman, this isgripping the ledge of unreason, beforeplunging howling into the abyss.Hold hard then, heart. This way at least you live. would volcanic activity have a noticable impact on climate over the next 50 years? What is the midpoint of the line segment connecting the points (-4, 5) and (4,7)? What is the molarity of 4 mol of NaOH dissolved in 2 L of water? O A. 0.5 M OB. 8 M O C. 2M D. 4 M Which tiles should be added to the model below to make zero?- - - - - -O 6 negative tilesO 6 positive tilesO 3 negative tiles and 3 positive tilesO 6 negative tiles and 6 positive tiles f(4) =If g(x) = 2, x = a particle of mass m=375 g is launched with velocity of A =4 moves with a length AB=2.5m under the action of tractive force F=3.46 N making an angle 30. during its motion between A and B which is subjected to a frictional force f=1.5 N calculate V of B by applying the kinetic energy theorem What is an equation of the line that is perpendicular to 3z +y=-5 and passes through the point (3, 7)?Enter your equation in the box Solar Innovations Corporation bought a machine at the beginning of the year at a cost of $31,000. The estimated useful life was five years and the residual value was $3,000. Assume that the estimated productive life of the machine is 10,000 units. Expected annual production was year 1, 2,000 units; year 2, 3,000 units; year 3, 2,000 units; year 4, 2,000 units; and year 5, 1,000 units.Required:a. Which method will result in the highest net income in year 2?b. Does this higher net income mean the machine was used more efficiently under this depreciation method? 1, My house is bigger than your house. -> Your house is................................................................................................................2, The black is cheaper than the red car.-> The red car..........................................................................................................................3, There is a sink , a tub and a shower in the bathroom.-> The bathroom............................................................................................................4, No one in the group is taller than Trung.-> Trung.................................................................................................................................5, Do you have a better refrigerator than this?-> Is this............................................................................................................................... A country's population in 1994 was 21 million.In 2001 it was 22 million. Estimatethe population in 2011 using the exponentialgrowth formula. Round your answer to thenearest million.P= AektEnter the correct answer.DONEDOO+1? In parallelogram GHJK if mGHJ=140 find m KGH. What were the historical events in the movie Hidden Figures? Match each system to the number the first equation can be multiplied by to eliminate thex-terms when adding to the second equation.10x - 4y = -82-5x + 6y = 10-2x + 6y = 34x + 3y = 91/23x - By = 16x + 5y = 12-1/2- 8x + 10y = 16- 4x - 5y = 13-2