A 4.33-kg soccer ball rolling eastward at a speed of 2.74 m/s is kicked so that it reverses direction and attains a speed of 6.35 m/s. If the duration of the interaction is 55.33 ms, what is the average force on the ball by the player's foot, in N

Answers

Answer 1

Answer:

0.71 N

Explanation:

The inertia of a body, I, is the product of the force applied on it and the time which it acts. Also, it is equal to the change in  the momentum, P, of a body.

So that:

I = Ft

I = ΔP

Ft = m(v - u)

Where F is the force, t is the time, m is the mass of object, v is the final velocity and u is the initial velocity.

Given that: m = 4.33 kg, u = -2.74 m/s, v = 6.35 m/s and t = 55.33 s

F x 55.33 = 4.33(6.35 - (-2.74))

F x 55.33 = 4.33(6.35 + 2.74)

55.33 F = 4.33 x 9.09

55.33 F = 39.3597

F = [tex]\frac{39.3597}{55.33}[/tex]

  = 0.711363

The average force on the ball by the player is 0.71 N.


Related Questions

A car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.89 m/s^2 for t1 = 20 s. At that point the driver notices a tree limb that has fallen on the road and brakes hard for t2 s until it comes to a stop. Required:a. Write an expression for the car's speed just before the driver begins braking, v1.b. If the limb is on the road at a distance of 550 meters from where the car began its initial acceleration, will the car hit the limb?c. How far, in meters, from the original location of the limb will the car be when it stops?

Answers

Answer:

A.) 37.8 m/s

B.) No

C.) 172 m

Explanation:

Given that  car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.89 m/s^2 for t1 = 20 s. At that point the driver notices a tree limb that has fallen on the road and brakes hard for t2 s until it comes to a stop. Required:

a.) Write an expression for the car's speed just before the driver begins braking, v1.

Since the car accelerate from rest, initial velocity U = 0

Using first equation of motion

V1 = U + at

V1 = 1.89 × 20

V1 = 37.8 m/s

b.) If the limb is on the road at a distance of 550 meters from where the car began its initial acceleration, will the car hit the limb?

Using third equation of motion

V^2 = U^2 + 2as

37.8^2 = 0 + 2 × 1.89 × S

1428.84 = 3.78S

S = 1428.84 / 3.78

S = 378m

Since the limb is on the road at a distance of 550 meters from where the car began its initial acceleration, we can therefore conclude that the car will not hit the limb.

c. How far, in meters, from the original location of the limb will the car be when it stops?

550 - 378 = 172 m

The car will be 172 metres from the limb.

PLEASE HELP
You finally got inside the school. You look outside and see the zombie still coming after you. He is walking at 0.5 m/s. How long will it take him to get to the school if he is 200 m away?​

Answers

Answer:

400 seconds

Explanation:

Divide the total distance by the unit rate

200/0.5 = 400

400 seconds

Answer:

400 seconds

Explanation:

. Explain what a flyback diode is and why such a device is often placed in parallel with the coil in a relay circuit

Answers

Answer:

Explained below.

Explanation:

A flyback diode is simply defined as a diode that is connected across an inductor in order to eliminate the sudden spike in voltage that's seen across an inductive load when its supply current is unexpectedly reduced or interrupted. This sudden spike in voltage is known as flyback.

It's very important to place this flyback diode in parallel with the coil in a relay circuit because it allows current to pass through with minimal resistance thereby preventing flyback voltage from building up when power is disconnected.

5. A basketball is passed 15 m due West, then 20 m north. What is the total distance the
basketball travelled?

Answers

Answer:

35 meters

20+15=35

An object with a mass of 10 kg accelerates 16 m/s2 when an unknown force is applied to it what is the amount of force

Answers

Answer:

[tex] \huge{ \boxed {\bold{ \tt{160 \: N}}}}[/tex]

Explanation:

Given :Mass ( m ) = 10 kgAcceleration ( a ) = 16 m / s²To find :Force = ?We know,

[tex] \boxed{ \sf{Force = Mass \: \times \: Acceleration}}[/tex]

[tex] \sf{➛ force \: = 10\: \times 16}[/tex]

[tex] \sf{➛ force = 160 \: Newton}[/tex]

The amount of force is 160 N

Hope I helped!

Best regards! :D

~TheAnimeGirl

A person weighing 200 pounds stands on snowshoes. If the area of each snowshoe is 400 square inches, the pressure on the snow is

Answers

Answer:

0.5 pounds per square inches (ibs/in²)

Explanation:

The pressure of an object refers to the force it exerts per unit area i.e. F/a. In this question, the force, F, is created by the weight, W, of the snowshoe. Hence, pressure is calculated thus:

P = W/A

Where; P = Pressure (ibs/in²)

W = Weight of object (ibs)

A = surface area (in²)

In this question, weight = 200 pounds, Area = 400 square inches

Hence, pressure = 200/400

Pressure (P) = 2/4

Pressure (P) = 0.5 ibs/in²

What do feathers, fur, overcoats, and whale blubber all have in common?

A. They are all good conductors of heat.


B. They all generate heat.


C. They are all electrical conductors.


D. They are all heat insulators.

Answers

Answer:

D. They are all heat insulators.

Explanation:

Those things mentioned above are examples of heat insulators. As a heat insulator, it helps to prevent the heat from leaving the body thereby keeping the body warm and risk free.Feathers in birds and overcoat in humans helps to keep the bodies of the wearer safe and warm during the cold season.

What is the magnitude of the upward thrust force (assumed constant)?Express your answer with the appropriate units

Answers

Complete Question

A helicopter of mass  [tex]1.40 *10^{3}[/tex] kg is descending vertically at 3.00 m/s. The pilot increases the upward thrust provided by the main rotor so that the vertical speed decreases to 0.450 m/s as the helicopter descends 5.00 m. What is the magnitude of the upward thrust force (assumed constant)?Express your answer with the appropriate units.

Answer:

The value is  [tex]F = 11257 \ N[/tex]

Explanation:

From the question we are told that

   The mass of the helicopter is  [tex]m = 1.40 *10^{3} \ kg[/tex]

   The initial descending speed is [tex]u= 3.00 \ m/s[/tex]

   The  descending speed after the upward thrust has been increased is [tex]v = 0.450 \ m/s[/tex]

    The  height when descending speed is [tex]v = 0.450 \ m/s[/tex]  is  [tex]s = 5.0 \ m[/tex]

Generally according to the kinematics equations

   [tex]v^2 = u^2 + 2(a)s[/tex]

Here a is the acceleration due to gravity plus the acceleration of the helicopter

So

    a  =  [tex]a = -g + a_h[/tex]

the negative sign is due to the fact that the direction of the plane is in the negative y axis

So

       [tex]v^2 = u^2 + 2(-g + a_h)s[/tex]

=>    [tex]0.45^2  =  3^2  + 2(-9.9 + a_h) * 5[/tex]

=>   [tex]a_h = \frac{-8.7975}{5} + 9.8[/tex]    

=>   [tex]a_h = 8.0405 \ m/s^2[/tex]    

Generally the thrust force is mathematically represented as

     [tex]F = m * a_h[/tex]

=> [tex]F = 1.40 *10^{3} * 8.0405[/tex]

=> [tex]F = 11257 \ N[/tex]

   

An 8.5 kg bowling ball initially at rest is dropped from the top of a building. The ball hits the ground with an acceleration of 9.8 m/s2. Find the net force on the falling ball.

Answers

Answer:

The answer is 83.3 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 8.5 × 9.8

We have the final answer as

83.3 N

Hope this helps you

In the Daytona 500 auto race, a Ford Thunderbird and a Mercedes Benz are moving side by side down a straightaway at

67.0 m/s. The driver of the Thunderbird realizes that she must make a pit stop, and she smoothly slows to a stop over a

distance of 250 m. She spends 5.00 s in the pit and then accelerates out, reaching her previous speed of 67.0 m/s after a

distance of 360 m. At this point how far has the Thunderbird fallen behind the Mercedes Benz, which has continued at a

constant speed?

Answers

Answer:

945 m

Explanation:

First of all let's find the first acceleration before the first stop. We will use Newton's 3rd equation of motion;

v² = u² + 2as

a = (v² - u²)/2s

In this first motion, the initial velocity is given as u = 67 m/s, while the final velocity which is the stop is v = 0 m/s and the distance is s = 250 m

Thus;

a = (0² - 67²)/(2 × 250)

a = -4489/500

a = -8.978 m/s²

Now, to get the time spent for this 250 m distance, we will use Newton's 2nd law of motion;

s = ut + ½at²

Plugging in the relevant values;

250 = 67t + ½(-8.978)t²

250 = 67t - 4.489t²

4.489t² - 67t + 250 = 0

Using quadratic formula, we will arrive at;

t = 7.463 s

Now, we are told that she accelerates out, reaching her previous speed of 67.0 m/s after a distance of 360 m. Thus, let's calculate the time it took to accelerate after a distance of 360 m.

Since she stayed from rest in this phase, then initial velocity (u) = 0 m/s.

Like in the first phase, we can find the acceleration from;

a = (v² - u²)/2s

a = (67² - 0²)/(2 × 360)

a = 4489/720

a = 6.235 m/s²

Thus, we can find the time for this 360 m phase by using; s = ut + ½at², we have;

360 = 0 + ½(6.235)t²

Multiply through by 2 to get;

6.235t² = 720

t² = 720/6.235

t² = 115.477145

t = √115.477145

t = 10.746 s

We are told that she spends 5 s in the pit. Thus;

Total time is;

t_total = 7.463 + 5 + 10.746

t_total = 23.209 s

Distance covered by the Mercedes Benz = 67 × 23.209 = 1555 m

Total distance covered by Thunderbird = 250 + 360 = 610 m

Thus, distance of Thunderbird behind Mercedes Benz is = 1555 - 610 = 945 m

as seen from above, a 73.8 kg water skier is pulled by a 105 N force at a 22.5 angle, while the water creates a 74.8 N force pulling directly backward. What is the y-component of the total force on the skier?

Answers

Answer:

40.2 N

Explanation:

I'm an Acellus student who got it correct.

The magnitude of  y-component of the total force on the skier is 40.18 N.

What is force?

Force is an influence which tends to set a stationary body in motion or stop a moving body, or which tends to change the speed and direction of a moving body, or which tends to change the shape and size of body.

Given parameters:

Mass of the water: M = 73.8 kg.

Magnitude of force acting at 22.5° angle is: F₁ = 105 N.

Magnitude of force acting at directly backwards is: F₂ = 74.8 N.

We have to find: the y-component of the total force on the skier = ?

As F₂ acting directly backwards, this force has no y-component.

Hence, resultant y-component of the total force on the skier

= F₁ sin22.5°

= 105 ×sin22.5° N.

= 40.18 N.

Hence, magnitude of  y-component of the total force on the skier is 40.18 N.

Learn more about force here:

https://brainly.com/question/13191643

#SPJ2

Determine the average velocity of the cart during the time interval from frame 100100 to frame 124124. For all vector quantities, we’ll use the convention that right is positive and left is negative.

Answers

The video showing the movement of the cart during the time interval is gotten from the link;

https://mediaplayer.pearsoncmg.com/assets/_frames.true/frames.true_white_ruler

Answer:

V_avg = 1.8 m/s

Explanation:

From the video, the distance moved by the cart during the 24 frames is 18 cm or 0.18 m.

Now, the speed is at the rate of 240 frames per seconds.

Now, average velocity is given as;

V_avg = distance/time

Time = 24 frames/240 frames/s

Time = 0.1 s

Thus;

V_avg = 0.18/0.1

V_avg = 1.8 m/s

1. Two loads are connected in parallel to a 120 V source. If the 40 W lamp is left on for 3 hr/day and the 75 W lamp is left on for 5 hr/day calculate the current in each loa

Answers

Answer:

Explanation:

Since both loads at connected in parallel, the voltage across them will be the same.

The voltage across parallel connected loads are the same.

Let the loads be R1 and R2

Power = IV

I is the current

V is the voltage

P= V²/R

R = V²/P

Get the first load R1

R1 = V²/P1

R1 = 120²/40

R1 = 360ohms

Get the second load R2

R2 = V²/P2

R2 = 120²/75

R2 = 192ohms

Current in R1 will be;

P1 = I1²R1

I1² = P/R1

I1² = 40/360

I1² = 1/9

I1 = √1/9

I1 = 1/3

I = 0.33A

Current in R2(second load) will be;

P2 = I2²R2

I2² = P/R2

I2² = 75/192

I2² = 0.390625

I2 = √0.390625

I2 = 0.625A

What value resistor will discharge a 2.60 μFμF capacitor to 20.0%% of its initial charge in 2.20 msms ? nothing Ω

Answers

Answer:

The value of resistor is 525.76 ohms

Explanation:

Given;

capacitance, C = 2.6 μF = 2.6 x 10⁻⁶ F

let the initial charge on the capacitor = Q₀

time , t = 2.2 ms = 2.2 x 10⁻³ s

The discharge of the capacitor is given by;

[tex]Q(t) = Q_oe^{-\frac{t}{RC} }[/tex]

Where;

Q(t) is the charge after 2.2ms = 20% of Q₀ = 0.2Q₀

[tex]Q(t) = Q_oe^{-\frac{t}{RC} }\\\\0.2Q_o = Q_oe^{-\frac{t}{RC} }\\\\0.2 = e^{-\frac{t}{RC} }\\\\ln(0.2) = -\frac{t}{RC}\\\\-1.6094 = -\frac{t}{RC}\\\\R = \frac{t}{1.6094C} \\\\R = \frac{2.2*10^{-3}}{1.6094*2.6*10^{-6}}\\\\R = 525.76 \ ohms[/tex]

Therefore, the value of resistor is 525.76 ohms

If the current density is 1.55 and the drift velocity is , how many charge carriers are present? The charge on electron is .(Enter your answer to three significant figures.)

Answers

Answer:

There are [tex]9.053\times 10^{14}[/tex] charge carriers.

Explanation:

Given that,

Current density (current per unit time), [tex]\dfrac{I}{A}=1.55\ A/cm^2=0.000155\ A/m^2[/tex]

The drift velocity of the electron, [tex]v_d=107\ cm/s=1.07\ m/s[/tex]

We need to find the no charge carriers present. The formula for drift velocity is given by :

[tex]v_d=\dfrac{I}{neA}\\\\\text{n is no of charge carriers}\\\\n=\dfrac{I}{eAv_d}\\\\n=\dfrac{0.000155}{1.6\times 10^{-19}\times 1.07}\\\\n=9.053\times 10^{14}[/tex]

So, there are [tex]9.053\times 10^{14}[/tex] charge carriers.

How many different uniquecurrents will there be in this circuit? How many different "branch" are there in this circuit where the currents could differ.

Answers

Answer:

hello your question is incomplete attached below is the missing circuit diagram

answer : 3 unique currents

Explanation:

From the circuit attached below it can be seen that there will be Three(3) unique currents flowing through this circuit and the Branches where this currents could differ is at the Three(3) resistors

What is the mass of a cylinder of silicon (in units of grams) that is 4.00 cm in diameter and 10.55 cm long?

Answers

Answer:

309.02g

Explanation:

According to the information given in this question, the cylinder has the following:

Mass = ?

Length/height = 10.55cm

Diameter = 4.00cm

Volume of a cylinder = πr²h

Where; π = pie (3.142 or 22/7)

r = radius (cm)

h = height

Note that, radius = diameter/2

Hence, radius (r) = 4.00/2

r = 2.00cm.

V = πr²h

V = 22/7 × 2² × 10.55

V = 22/7 × 42.2

V = 928.4/7

V = 132.628cm³

Density = mass/volume

Hence, mass = density × volume

Where density of silicon is 2.33g/cm³

Mass = 2.33g/cm³ × 132.628cm³

Mass = 309.02g

A cyclist who is riding a bike, whose wheels have a radius of r, is moving with constant speed v, along a flat straight road. The cyclist realizes that there is a single rock stuck between the threads of his tires that is causing the bike to vibrate violently. How frequently do the vibrations caused by the rock occur

Answers

Answer:

[tex]f = \frac{v}{2\pi r }[/tex]

Explanation:

A cyclist riding a bike whose wheels have a radius of r, moving with constant speed v along a flat straight road.

The frequency of the vibrations is the same as the frequency of the rotation of the wheel and this can be represented as below

V = R(w )     where ; w = [tex]2\pi f[/tex]

[tex]f = \frac{v}{2\pi r }[/tex]

Choose all the right answers.

Each new cell produced by mitosis:

is different
inherits all the traits from its parent
obtains new traits
is identical to the parent's structure

Answers

Answer:

B and D

Explanation:

Answer:

It is B. inherits all the traits from its parent

And D. is identical to the parent's structure

Explanation:

Hope this helped have an amazing day!

"We want to know how microgravity will
affect ____

Answers

Answer:

humans

Explanation:

mhm

A car comes to a stop in 3 s from the moment the driver applies the brakes. If the initial angular velocity of the tires was 57 rad/s, what is their angular acceleration (assumed constant) over this time interval

Answers

Answer:

-19rad/s

Explanation:

Given

Initial angular velocity w0 = 57rad/s

Time = 3s

Final angular velocity wf = 0rad/s (car comes to stop)

Required

angular acceleration (α)

Using the equation of motion

wf = w0 + αt

Substitute the given value and get α;

0 = 57 + 3α

-57 = 3α

α = -57/3

α = -19rad/s (the negative sign shows that the car decelerated over time)

A toy cork gun contains a spring whose spring constant is 10.0 N/m. The spring is compressed 5.00 cm and then used to propel a 6.00-g cork. The cork, however, sticks to the spring for 1.00 cm beyond its unstretched length before separation occurs. The muzzle velocity of this cork is:

Answers

Answer:

2 m/s

Explanation:

We will apply the law of conservation of energy to solve this.

The initial spring potential energy = final spring potential energy + kinetic energy of cork, this means that

1/2kx² = 1/2kx'² + 1/2mv², and this is

kx² = kx'² + mv²

From the question, we are given that

k = 10N/m

x = 5cm = 0.05 m

x' = 1cm = 0.01 m

m = 6g = 0.006 kg

Substituting these values to the formula, and we get,

10(0.05)² = 10(0.01)² + 0.006v²

10 * 0.0025 = 10 * 0.0001 + 0.006 v²

0.025 = 0.001 + 0.006v², multiplying all sides by 1000, we have

25 = 1 + 6v²

6v² = 25 - 1

6v² = 24

v² = 24 / 6

v² = 4

v = √4

v = 2 m/s

⇒25 - 1 = 6v²

⇒v² = 24/6 = 4

⇒v = 2 m/s

If the block is stationary on a frictionless surface when hit, how fast does it move after the bullet emerges

Answers

Complete question is;

A 13g bullet traveling 230 m/s penetrates a 2.0 kg block of wood and emerges going 170 m/s. If the block is stationary on a frictionless surface when hit, how fast does it move after the bullet emerges?

Answer:

0.39 m/s

Explanation:

From the question, we can deduce that there is no external force acting on the

system in the horizontal direction. This means that momentum will be conserved for the system of the 2 kg block & the bullet.

Thus;

Initial momentum(p_i) = final momentum(p_f)

Mass of bullet; = 13g = 0.013 kg

Mass of Block = 2 kg

Speed of bullet = 230 m/s

Speed of Block = 170 m/s

We know that formula for momentum is; p = mv.

Thus, the initial momentum of the (bullet + block) is given as;

p_i = 0.013 × 230

Final momentum is;

p_f = (0.013 × 170) + (2 × v_f)

Where v_f is the speed at which the bullet emerges.

Since p_i = p_f from conservation of momentum, then;

(0.013 × 230) = (0.013 × 170) + (2 × v_f)

2.99 = 2.21 + 2v_f

2.99 - 2.21 = 2v_f

0.78 = 2v_f

v_f = 0.78/2

v_f = 0.39 m/s

A car accelerates from rest to 95 km/h in 5 seconds, what is the average acceleration of the car in m/s2

Answers

Answer:

The average acceleration of the car is 5.2778 [tex]\frac{m}{s^{2} }[/tex]

Explanation:

The acceleration of an object is a magnitude that indicates how the speed of the object changes in a unit of time. That is, acceleration relates changes in velocity with the time in which they occur.

The expression for the calculation of the acceleration is:

[tex]acceleration=\frac{change of velocity}{time}[/tex]

In this case:

acceleration=?change of velocity= final velocity - initial velocity= 95 km/h - 0 km/h (because the car accelerates from rest)= 95 km/htime= 5 seconds

First, it is convenient to express the change in velocity in units of m/s, where 1 h = 3,600 s and 1 km = 1,000 m.

[tex]change of velocity= 95 \frac{km}{h} =95\frac{1,000 m}{3,600 s} =26.3889 \frac{m}{s}[/tex]

So, replacing in the definition of acceleration:

[tex]acceleration=\frac{26.3889\frac{m}{s} }{5 s}[/tex]

acceleration= 5.2778 [tex]\frac{m}{s^{2} }[/tex]

The average acceleration of the car is 5.2778 [tex]\frac{m}{s^{2} }[/tex]

What is the instrument used to measure amount of substance?​

Answers

Answer:

Moles

Explanation:

Moles can be used to measure the quantity of any substance. A mole of water is a small mouthful; a mole of elephants is about the size of the planet Saturn.

A rocket blasts off and moves straight upward from the launch pad with
constant acceleration. After 3.0 seconds the rocket is at a height of 77
meters. What is the rocket's velocity at that time?

Answers

the answer is 172.249 mph or 252.637 ft/s

Calculate the energy stored in a spiral spring
of force constant is 800 N/m compressed by
1.2 m​

Answers

Answer:

W=k[tex]x^{2}[/tex]/2 = 576 j

Explanation:

In part A, the metal object was heated in water. If some of the hot water was transferred to the calorimeter along with the metal object, what effect would this have on the calculated value of the specific heat of the metal

Answers

Answer:

The calculated value of the specific heat capacity of the metal will be larger than the actual value

Explanation:

If some of the hot water is transferred to the Calorimeter along with the metal object whose specific heat is to calculated the effect will be that the calculated value of the specific heat of the metal will be larger than normal

this can  be explained with the equation below

= heat transferred to liquid in which metal was / Δ T metal

where ΔTmetal < heat transferred to liquid

If the stars at the turnoff point in a star cluster have masses of about four solar masses, how old is the cluster

Answers

Answer:

age of the cluster is 3.125 × 10⁸ years

Explanation:

Given that;

stars at the turnoff point in a star cluster have masses of about 4 solar masses

Age of the cluster?

we know that the main sequence lifetime of a star in solar lifetime(t) is related to the mass of the star in solar masses(M). expressed as

ζ = M^(-5/2)

our M is 4, so we substitute

ζ = 4^(-5/2)

ζ =  0.03125 solar lifetime

now convert the lifetime of star cluster into years

ζ = 0.03125 solar lifetime × (10¹⁰ years / 1 solar lifetime)

ζ = 312,500,000 ≈3.124 × 10⁸ years

therefore age of the cluster is 3.125 × 10⁸ years

Select the choice that does NOT describe an acceleration .
А pedaling faster
B coasting
C turning a corner
D hitting the brakes

Answers

Answer:

Answer

b) Coasting does not dedcribe acceleration

Other Questions
Sarah bought 3 purses which cost $12.30, $34.23 and $23.19. How much did she spend? Choose the best soil for plant growthA. Sandy soilB. ClayC. GravelD. Loamy soil Answer : D I need this done by October 29th.Use properties of operations to write two equivalent expressions for 13(4 + x).1. Explain how to distribute the 13 to the terms inside the parentheses, then do the distribution. Use multiplication to simplify the result. A high school student has just been diagnosedwith sickle-cell anemia. He is in a lot of pain, andis often too weak and tired to even get out of bed.Which of the following treatments might be optionsfor him? Check all that apply.surgeryphysical therapybone marrow transplantpain medication what is the value of 8+2 to the third power times 5 What are all the bill of rights listed?? Which three of the following countries have claimed the Caribbean Islands?United StatesFranceGermanyNetherlandsSweden>Spain put the following sentences in the correct order to form a logical dialogue 0.5 divided by 4.25, 2.4 divided by 16.8, 38.5 divided by 0.5, 107.25 divided by 2.5 PLS HELP, WILL REWARD BRAINLIEST!! What effect did the Atlantic Slave Trade have on Africa's future? how to solve -4p+(-6p) I NEED HELPS!!! O///OWrite an equation that has a slope of 4 and a y-intercept of (0,1) Can someone tell me the answer Plz Im struggling Ill give brainlist and points A simple ideal Rankine cycle with water as the working fluid operates between the pressure limits of 3 MPa in the boiler and 30 kPa in the condenser. If the quality at the exit of the turbine cannot be less than 82 percent, what is the maximum thermal efficiency this cycle can have 2. Knowing the results of the 2018 SAT math exam with a mean of 531 and standard deviation of 114, answer the following questions: (10 points)a. What percentage of test takers scored lower than 400 on the math SAT?Your calculation:b. What percentage scored between 600 and 700 points?Your calculation:c. Your score is 725. What is your percentile rank? Safara wants to rent a bicycle. Thegraph shows the costfor renting a bicycle for different lengths of time.a. What is the slope of the line? Show your work. Rena's Promise: Two Sisters in Auschwitz is narrated from the point of view of ahistorian who is recounting her own experiences during the Holocaust.historian who is describing a survivor's experiences during the Holocaust.teenager who is describing her own experiences during the Holocaust.teenager who is recounting her parents' experiences during the Holocaust. What is the main theme or message of theletter?Those who act early have aneasier time than those who actlater.Rights on paper are different fromrights in realityMaking decisions is difficult inuncertain timesChange has more positiveO consequences than negativeones. Plot each value on a number line