When a stone and a feather is thrown down from a height under free fall. Which of the two will first reach the ground???​

Answers

Answer 1

Answer:

The stone

Explanation:

It will be the first to fall because of its mass which is heavier than that of the feather .


Related Questions

The picture below shows a person swinging a toy plane attached to a string in
uniform circular motion.
Which vector points in the direction of the centripetal acceleration of the
plane?

Answers

According to the image A vector points in the direction of the centripetal acceleration of the plane.

The correct option is C.

What is centripetal acceleration?

Centripetal acceleration is a property of an object's motion along a circular path. Centripetal force refers to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.

Briefing:

A person is seen in the image swinging a toy plane on a string in a smooth, circular motion. The velocity direction is tangent to the circular orbit and perpendicular to the direction of the position.

The direction of the velocity and the speed may both vary as an object travels in a circular orbit. The velocity's direction is continually shifting. While acceleration is constantly moving uniformly in a circular path toward the recent, tangent at each point indicates the direction of velocity at that place.

As a result, vector A is pointed in the plane's centripetal acceleration's direction.

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The complete question is -

The picture below shows a person swinging a toy plane attached to a string in uniform circular motion.

Which vector points in the direction of the centripetal acceleration of the

plane?

A-B

B-D

C-A

D-C

What would the separation between two identical objects, one carrying
2 C
of positive charge and the other
2 C
of negative charge, have to be if the electrical force on each was precisely
2 N?

Please Help

Answers

The distance between the two charges is 134,164.1 m.

What is the distance between the two identical charges?

The distance between the two identical charges is determined by applying Coulomb's law as shown below.

F = kq²/r²

where;

K is Coulomb's constantq is the magnitude of the chargesr is the distance between the chargesF is the electric force between the two charges

r = √(kq²/F)

r = √(9 x 10⁹ x 2²) / 2)

r = 134,164.1 m

Thus, the distance between the two charges is determined by applying Coulomb's law.

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carts, bricks, and bands

4. Which two trials demonstrate the effect of a doubling of force upon the acceleration of a cart of constant mass?
a. Trials 2 and 4
b. Trials 2 and 6
c. Trials 4 and 7
d. Trials 6 and 7

Answers

A. The two  trials that demonstrate the effect of a doubling of force upon the acceleration of a cart of constant mass are Trials 2 and 4.

What is the applied force on an object?

The force applied on object is obtained by multiplying the mass and acceleration of the object.

According to Newton's second law of motion, the force exerted on an object is directly proportional to the product of mass and acceleration of the object.

Also, the applied force is directly proportional to the change in the momentum of the object.

Mathematically, the force acting on object is given as;

F = ma

a = F/m

where;

a is the acceleration of the objectm is the mass of the objectF is the applied force

At a constant mass;

F₁/a₁ = F₂/a₂

When the force is doubled, the acceleration of the object is given as;

a₂ = F₂a₁/F₁

a₂ = (2F₁ x a₁) / F₁

a₂ = 2a₁

From the trials,

acceleration of trial 2 = 0.51 m/s²

acceleration of trial 4 = 1 m/s²

Thus, the two  trials that demonstrate the effect of a doubling of force upon the acceleration of a cart of constant mass are Trials 2 and 4.

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Solve: What work is done when 3.0 C is moved through an electric potential difference of 1.5 V?1) 0.5 J2) 2.0 J3) 4.0 J4) 4.5 J

Answers

We know that the work done in an electric potential difference is

[tex]\begin{gathered} W=V\cdot Q \\ W=1.5V\cdot3.0C \\ W=4.5J \end{gathered}[/tex]Therefore, the work done is 4.5 J.

Jason is pulling a box across the room. He is pulling with a force of 24 newtons and his arm is making a 44 angle with the horizontal, what is the horizontal component of the forcehe is pulling with

Answers

[tex]\begin{gathered} \text{Horizontal component=24N}\cdot\cos (44) \\ \text{Horizontal component=17.26N} \\ The\text{ value of the horizontal component of the force is 17.26N} \end{gathered}[/tex]

carts, bricks, and bands

3. Which statement describes the effect of a doubling of force upon the acceleration of a cart of constant mass?
a. Doubling the force will cause the acceleration to be twice the original value.
b. Doubling the force will cause the acceleration to be one-half the original value.
c. Doubling the force will cause the acceleration to be four times the original value.
d. Doubling the force will cause the acceleration to be one-fourth the original value.

Answers

The statement that describes the effect of a doubling a force at a  constant mass is "doubling the force will cause the acceleration to be twice the original value.

The correct answer is option A.

What is the applied force on an object?

The force applied on object is obtained by multiplying the mass and acceleration of the object.

According to Newton's second law of motion, the force exerted on an object is directly proportional to the product of mass and acceleration of the object.

Also, the applied force is directly proportional to the change in the momentum of the object.

Mathematically, the force acting on object is given as;

F = ma

a = F/m

where;

a is the acceleration of the objectm is the mass of the objectF is the applied force

At a constant mass;

F₁/a₁ = F₂/a₂

When the force is doubled, the acceleration of the object is given as;

a₂ = F₂a₁/F₁

a₂ = (2F₁ x a₁) / F₁

a₂ = 2a₁

Thus, when the force on the cart is doubled and the mass is constant, the acceleration of the cart will double as well.

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Two points ___________ create a line.A. sometimesB. neverC. alwaysD. not enough information

Answers

According to the Euclidean Postulates, a straight line segment can be drawn joining any two points.

Therefore, the answer is:

[tex]C)\text{ Always}[/tex]

A power company transmits current through a 240,000 V transmission line. This voltage is stepped down at an area substation to 40,000 V by a transformer that has 940 turns on the primary coil. How many turns are on the secondary of the transformer? _________turns

Answers

Given:

The voltage in the transmission line is: V = 240000 v

The stepped-down voltage is: Vs = 40000 v

The turns of the primary coil of the transformer are: Np = 940

To find:

The turns of the secondary coil of the transformer.

Explanation:

The voltage in a transmission line is used to step down by using the transformer. Thus, the primary voltage of the transformer will be the voltage in the transmission line.

Thus, Vp = V = 240000 v

The primary voltage Vp, the secondary voltage Vs, the primary turns on the coil Np and the secondary turns on the coil Ns are related as:

[tex]\frac{V_p}{V_s}=\frac{N_p}{N_s}[/tex]

Rearranging the above equation, we get:

[tex]\begin{gathered} N_s=N_p\frac{V_s}{V_p} \\ \\ N_s=940\times\frac{40000\text{ v}}{240000\text{ v}} \\ \\ N_s=940\times\frac{4}{24} \\ \\ N_s=156.67 \\ \\ N_s\approx157 \end{gathered}[/tex]

Final answer:

The number of turns on the secondary coil of the transformer are approximately 157.

A total of 8.0 joules of work is done when a constant horizontal force of 2.0 newtons to the left is used to push a 3.0-kilogram box acrossa counter top. Determine the total horizontal distance the box moves.

Answers

ANSWER

4 meters

EXPLANATION

Given:

• Work = 8.0 J

,

• Force = 2.0 N

,

• Mass of the box = 3.0 kg

Unknown:

• Distance the box moves

Work is the product of the applied force in the direction of motion and the distance an object moves,

[tex]W=F\cdot d[/tex]

In this case, a box is pushed horizontally with a force of 2N producing a work of 8J. Solve the equation above for d,

[tex]d=\frac{W}{N}=\frac{8.0J}{2.0N}=4m[/tex]

Hence, the horizontal distance the box moves is 4 meters.

A 77 kg student traveling in a car with a constant velocity has a kinetic energy of 1.7 104 J. What is the speedometer reading of the car in km/h? answer with:_____km/h

Answers

ANSWER

75.65 km/h

EXPLANATION

Given:

• The student's mass, m = 77 kg

,

• The kinetic energy of the student in the car, KE = 1.7 x 10⁴ J

Find:

• The speed read in the speedometer of the car, which is the speed of the student, v (in km/h)

The kinetic energy of an object with mass m, traveling at a speed v, is,

[tex]KE=\frac{1}{2}mv^2[/tex]

Solving for v,

[tex]v=\sqrt{\frac{2KE}{m}}[/tex]

Replace the known values and solve,

[tex]v=\sqrt{\frac{2\cdot1.7\cdot10^4J}{77kg}}\approx21.013m/s[/tex]

Note that because the kinetic energy is given in Joules - which is equivalent to kg*m²/s², the speed we found is in m/s. Now, knowing that there are 3600 seconds in 1 hour and that 1 km is equivalent to 1000 m, we can convert this to km/s,

[tex]v=21.013\frac{m}{s}\cdot\frac{3600s}{1h}\cdot\frac{1km}{1000m}\approx75.65km/h[/tex]

Hence, the speedometer reading of the car is 75.65 km/h, rounded to the nearest hundredth.

A plane's average speed between 2 cities is 800 km/hr. If the trip takes 4.5 hours howfar does the plane fly?

Answers

Considering the average velocity can be written as:

[tex]v=\frac{\Delta s}{\Delta t}[/tex]

We can isolate the distance, and we get:

[tex]\Delta s=v*\Delta t\rightarrow\Delta s=800*4.5=3600km[/tex]

Then, the distance the plane flew is 3600km

What the difference between velocity and speed

Answers

Answer:

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.

Speed

The rate at which an object covers a certain distance is known as speed.

Speed cannot be negative or zero.

Speed is a scalar quantity.

Example: A man making a roundabout journey at a speed of 40 kmph.

Velocity

The rate at which an object changes position in a certain direction.

Velocity it can be negative or zero.

It is a vector quantity.

Example; A woman plans to drive her vehicle at a speed of 76 kmph towards East.

Which of the following is an example of Newton's third law of motion?A. A skydiver slows down when her parachute opens.B. A grocery cart moves forward when it is pushed.C. A cannon recoils backwards when it is fired.D. A rolling rock slows down due to friction.

Answers

Explanation:

The third law of Newton says that when an object exerts a force on a second object, the first object experiences an equal and opposite force that is exerted by the second object.

So, the example that shows this law is:

C. A cannon recoils backward when it is fired.

Because the cannon e

An object initially at rest experiences an acceleration of 9.8 m/s2. How much time will it take it to achieve a velocity of 49 m/s? v = vo + at

Answers

Given data:

* The initial velocity of the object is 0 m/s.

* The final velocity of the object is 49 m/s.

* The acceleration of the object is,

[tex]a=9.8ms^{-2}[/tex]

Solution:

The time taken by the object to achieve the final velocity is,

[tex]v=v_o+at[/tex]

where v is the final velocity, v_o is an initial velocity, a is an acceleration, and t is the time taken by the object to acquire the final velocity,

Substituting the known values,

[tex]\begin{gathered} 49=0+9.8\times t \\ 49=9.8t \\ t=\frac{49}{9.8} \\ t=5\text{ s} \end{gathered}[/tex]

Thus, the time taken by the object to acqurie the final velocity is 5 seconds.

Identify the kinematic equation which relates the velocity and time.

Answers

The kinematic equation which relates velocity and time is

[tex]v=v_0+at[/tex]

As when the acceleratio

what is the maximum efficiency that a heat engine could have when operating between the normal boiling and freezing temperatures of water​

Answers

The maximum efficiency that a heat engine could have when operating between the normal boiling and freezing temperatures of water is 26.8 %

η = ( [tex]T_{H}[/tex] - [tex]T_{C}[/tex] ) / [tex]T_{H}[/tex] * 100

η = Efficiency

[tex]T_{H}[/tex] = Hottest temperature

[tex]T_{C}[/tex] = Coldest temperature

Hottest temperature = Boiling point

Coldest temperature = Freezing point

[tex]T_{H}[/tex] = 100 °C = 373 K

[tex]T_{C}[/tex] = 0 °C = 272 K

η = ( 373 - 273 ) / 373 * 100

η = 100 / 373 * 100

η = 26.8 %

In a heat engine, the heat energy is converted into mechanical energy which will be used to do mechanical work like pushing a piston out from the cylinder.

Therefore, the maximum efficiency that a heat engine could have when operating between the normal boiling and freezing temperatures of water is 26.8 %

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how far away is a star if it takes light 12.5 years to reach the earth?

Answers

[tex]\begin{gathered} v_{light}=300,000\text{ }km\text{ /s}=3x10^{5^{}}\text{ }km\text{ /s} \\ t=12.5\text{ years} \\ \text{1 year has }31,536,000s=3.1536x10^7\text{ s} \\ v=\frac{x}{t} \\ \text{Solving x} \\ x=vt \\ x=(3x10^{5^{}}\text{ }km\text{ /s})(3.1536x10^7\text{ s}) \\ x=9.4608x10^{12^{}}km \\ \text{The star is }9.4608x10^{12^{}}km\text{ far from the earth} \end{gathered}[/tex]

If a bus is traveling at 12m/s and a passenger on the bus is walking to the back of the bus at a velocity of 5m/s, what is the relative velocity of the passenger relative to the ground?​

Answers

The relative velocity is 17m/s.

The relative velocity of the passenger relative to the ground can be found by applying the concept of relative motion.

speed of bus (vb)=12m/s

speed of passenger inside the bus(vp)= 5m/s opposite to the speed of bus

speed of passenger relative to the ground = v

v= vb+vp

v= 12+(-5), since passenger is traveling in opposite direction

v=7m/

Therefore, the velocity of passenger relative to the ground is 7m/s.

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I’m confused about which electromagnetic waves have the lowest frequency

Answers

The eletromagnetic wave that has the highest frequency is the gamma rays. It also has the highest energy and shortest wavelengths.

On the other hand, the type of eletromagnetic wave that has the lowest frequency, lowest energy and longest wavelength is radio waves.

I need help with some questions to study them for midterms!

Answers

The correct answer is option C.

The acceleration of an object is defined as the time rate of change of velocity. Velocity is a vector and has magnitude and direction. The change velocity may mean either a change in magnitude or change in direction or both.

Thus an object can have acceleration even when the speed is constant. For example, an object in a circular motion.

Thus the correct answer is option C.

In order to hear a sound, even though there is an obstacle between you and the source, the sound wave must:A.diffract.B.refract.C.shorten.D.reflect.

Answers

We will have the following:

The sound must diffract. [Option A]

Pls quick will mark brainliest.
Lance is working in a library using a trolley to carry books. As he stacks books from the trolley on shelves, it gets easier to push or pull the trolley. Which part of Newton's laws of motion explains the increased ease of moving the trolley?

A. Objects at rest tend to stay at rest.


B. Objects in motion tend to stay in motion.


C. Every action has an equal and opposite reaction.


D. Larger objects require greater amounts of force to move.

Answers

Answer: D

Explanation:

Larger objects require greater amounts of force to move.

As he stacks books from the trolley on shelves, it gets easier to push or pull the trolley because the trolley gets lighter when the books are shifted from the trolley to the shelves. So, larger objects require greater amounts of force to move. Hence, option D is correct.

What is inertia?

Inertia is a property of bodies that prevents them from moving or, if they are already moving, causes them to change the speed or direction of their motion. The inertia of a body is a passive quality that prohibits it from acting in any way besides opposing active agents like forces and torques.

A moving body continues to move not because of its inertia but rather because no force exists to stop it, alter its direction, or accelerate it.

According to the question, when there are books on the trolley they require a greater amount of force to move but when the books are shifted on the shelves it's easier to move the trolley. So inertia is proportional to mass.

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A particular cookie provides 54.0 kcal of energy. An athlete does an exercise that involves repeatedly lifting (without acceleration) a 103-kilogram weight 2.45-decimeters above the ground with an energy efficiency of 25%. How many repetitions of this exercise can the athlete do with the energy supplied from one of these cookies?

Answers

Energy effectiveness would be a term that refers to the proportion of input power over output. Power generation, as well as simply energy utilization, is the process of reducing the amount of energy used to produce goods and services.

Considering that,

A cookie contains 54.0 kcal of energy. An athlete utilizes the 54.0 kcal inside this cookie from input energy.

The following diagram illustrates the relationship among input as well as output energy:

Efficiency = output energy / input energy...(i)

Output energy = efficiency × input energy

By using equation (i)

⇒ output energy = 0.25 × 54 kcal = 13.5 kcal.

The lifting exercise has been performed n times for the output energy.

In terms of potential energy, such output energy could be written as follows:

Mass × gravity ×height.

So, energy per repetition = mgh = 103 kg × 9.8 m/ × (2.45 × 0.1m) = 247.303 J =  0.059 kcal.

So, Count of repetitions = sim of output energy / energy per repetition..(ii)

By using equation (ii)

Count of repetitions = 13.5 kcal / 0.059 kcal =229 repetitions.  

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The figure shows a 100 W light bulb 1 meter away from my finger. If my finger tip has an area of 1 cm2 and if the wavelength of the light from the bulb is λ = 588 nm = 588 × 10−9 m, then show that the number of photons hitting my finger per second is about 1015γ/second.1 Watt of power is 1 Joule/second.Number of photons per second?

Answers

We are given the following information

Energy of bulb = 100 W = 100 Joules/second

Area of fingertip = 1 cm² = 0.0001 m²

Wavelength of light = 588×10⁻⁹ m

Number of photons per second = ?

Let us first convert the wavelength into energy

[tex]E=\frac{h\cdot c}{\lambda}[/tex]

Where h is the plank's constant (6.626x10⁻³⁴J.s), c is the speed of light (3×10⁸ m/s) and λ is the wavelength.

[tex]\begin{gathered} E=\frac{6.626\times10^{-34}\cdot3\times10^8}{588\times10^{-9}} \\ E=3.3806\times10^{-19}\; \frac{J}{s} \end{gathered}[/tex]

55
3. A ball is rolling at a rate of -2.4 m/s.
The ball then rolls down a hill, causing it to accelerate to a velocity of
8.6 m/s in 4.5 seconds time. What is the acceleration of the ball?

Answers

Use the accelerating formula
Use the accelerating formula

The motor of a table saw is rotating at 3450 rev/min. A pulley attached to the motor shaft drives a second pulley of half the diameter by means of a V-belt. A circular saw blade of diameter 0.208 m is mounted on the same rotating shaft as the second pulley.

Answers

Answer: It should be the answer beginning like this

The linear spread is that

The radial acceleration of locations along the blade's outer edge is approximately 17580 [tex]m/s^2[/tex].

What is Radial acceleration?

Radial acceleration describes the acceleration of an object travelling on a circular path towards the circle's center. It can be defined as the rate of change of tangential velocity with regard to time and is also known as centripetal acceleration.

Given:

A table saw's engine rotates at 3450 revolutions per minute.A V-belt connects a pulley that's attached to the motor shaft to a second pulley half the diameter.A 0.208 m circular saw blade is installed on the same rotating shaft as the second pulley.

We know that the motor is rotating at 3450 rev/min. One revolution is equal to 2π radians, so we can convert the motor speed to radians per minute:

ω₁ = (3450 rev/min) x (2π rad/rev) = 21675π rad/min

The second pulley is half the diameter of the first pulley, so its angular speed, ω₂, is twice that of ω₁:

ω₂ = 2ω₁ = 43350π rad/min

The circular saw blade is mounted on the same shaft as the second pulley, so it also rotates at the same angular speed:

ω = ω₂ = 43350π rad/min

We can now calculate the linear speed of the small piece of wood moving at the same rate as the rim of the circular saw blade, indicated by v. The circumference of the circle is supplied by the rim of the circular saw blade:

C = πd = π(0.208 m) = 0.6548 m

The linear speed of the little piece of wood is equal to the tangential speed of the circular saw blade's rim:

v = ωr

where r is the circular saw blade's radius, given by half its diameter:

r = d/2 = 0.208/2 = 0.104 m

By substituting the values, we obtain:

v = r = (43350 rad/min) x (0.104 m) x (1/60) = approx. 23.0 m/s

As a result, the linear speed of the little piece of wood moving at the same rate as the rim of the circular saw blade is about 23.0 m/s.

Next, compute the radial acceleration of locations on the blade's outer edge, represented by. The radial acceleration is calculated as follows:

α = rω²

By substituting the values, we obtain:

r2 = (0.104 m) x (43350 rad/min)2 x (1/602) = 17580 m/s2 (approximate)

Therefore, the radial acceleration of points on the outer edge of the blade is approximately 17580 m/s². This high radial acceleration explains why sawdust doesn't stick to the teeth of the saw blade.

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Your question is incomplete, most probably the complete question is:

The motor of a table saw is rotating at 3450{\rm rev/min}. A pulley attached to the motor shaft drives a second pulley of half the diameter by means of a V-belt. A circular saw blade of diameter 0.208{\rm m}is mounted on the same rotating shaft as the second pulley.

The operator is careless and the blade catches and throws back a small piece of wood. This piece of wood moves with linear speed equal to the tangential speed of the rim of the blade. What is this speed?

v =_______________________ m/s

Calculate the radial acceleration of points on the outer edge of the blade to see why sawdust doesn't stick to its teeth.

\alpha=______________________m/s2

3. A rescuer jumped from an airship in the ocean 1.20 x 102 m above the water's surface. Whatwas her kinetic energy at the moment she was 30.0 m from the water's surface? What was herspeed at that moment assuming her mass is 60.0 kg?

Answers

Given data,

The initial velocity of the body is zero.

The distance travelled by the rescuer upto the height of 30 m from the water surface is,

[tex]\begin{gathered} S=102-30 \\ S=72\text{ m} \end{gathered}[/tex]

The final velocity of the rescuer at the height 30 m is,

[tex]v^2-u^2=2gS[/tex]

where g is the acceleration due to gravity.

Substituting the known values,

[tex]\begin{gathered} v^2=2\times9.8\times72 \\ v^2=1411.2 \\ v=37.6ms^2 \end{gathered}[/tex]

Thus, the kinetic energy of the rescuer is,

[tex]K=\frac{1}{2}mv^2[/tex]

Substituting the known values,

[tex]\begin{gathered} K=\frac{1}{2}\times60\times1411.2 \\ K=42336 \\ K=42.3\text{ KJ} \end{gathered}[/tex]

Thus, the kinetic energy of the rescuer is 42.3 KJ and speed of the rescuer is 37.6 meter per second square.

The hydrogen-to-helium ratio is an important piece of evidence for the Big Bang Theory. What is the minimum hydrogen-helium ratio observed?A. 4:1B. 3:1C. 2:1

Answers

Correct answer is option B.

Answer:

3:1

Explanation:

What is the kinetic energy of the ocean liner ?

Answers

In order to calculate the kinetic energy, we can use the formula:

[tex]E_k=\frac{mv^2}{2}[/tex]

Where m is the mass in kg and v is the speed in m/s.

So, for the bullet, we have:

[tex]E_k=\frac{0.0014\cdot408^2}{2}=116.5\text{ J}[/tex]

And for the liner, we have:

[tex]E_k=\frac{59000000\cdot12^2}{2}=4248000000\text{ J}[/tex]

So the ocean liner has greater kinetic energy.

Given a DC battery of voltage, V = 4.00 V connected to a resistor R with a current I = 3.00 A through the resistor. What power is in this circuit? 15.5 W 12.0 W 39.4 W 45.5 W 8.88 W

Answers

12.0 W

Explanation

Electric power is the rate, per unit time, at which electrical energy is transferred by an electric circuit. to find the power in the circuit we need to use the expression:

[tex]P=IV[/tex]

where P is the powe I is the current and V is the voltage

Step 1

a)Let

[tex]\begin{gathered} I=\text{ 3 Amperes} \\ V=4.0\text{ volts} \end{gathered}[/tex]

b) now,replace

[tex]\begin{gathered} P=IV \\ P=3\text{ A*4 V} \\ P=12\text{ W} \end{gathered}[/tex]

therefore, the answer is

12.0 W

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At a coffee shop, there is a pot that has a volume of 5.4 L. Find how many cubic centimeters of coffee will completely fill the pot In one of its Spring catalogs , Bean advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked at most once. A. In words, define the random variable X. B. List the values that X may take on. C. How many pages do you expect to advertise footwear on them ? D. Calculate the standard deviation . Please help asap Your assignment is to complete the following tasks:1) Write your first and last name using the hieroglyphics here.2) Write the following sentence in hieroglyphics: "Ancient Egypt is totally awesome!"3) Write a brief reflection about your experience writing in hieroglyphics. Do you think is was hard or easy? Did you have fun? Do you understand why the job of the scribes were so important and respected? (your reflection should be at least 100 words in length)I already did my name Explain how the author of "From City to Country" alludes to thestory Main Street. Write your answer in the space below, usingevidence from the text to support your response. Watch the clip from the Dead Poet's Society and explain how the clip displays conformity and defines it. How does he try to explain the need to go against conformity? Please help me solve. I also need help on what ratios to put in the two boxes before the answer. Do I just choose any of them? Privet shrubs and humans each have a diploid number of 46 chromosomes per cell. Why are the two species so dissimilar?. how could the differences in these pictures be related to evolutionary fitness? 66. WORKER EFFICIENCY An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have assembled f(x) = -x + 6x + 15x television sets x hours later. How many sets will such a worker have assembled by 10:00 A.M.? [Hint: At 10:00 A.M., x = 2.] b. Ilow many sets will such a worker assemble between 9:00 and 10:00 A.M.? How many ways can four guests sit in a row of six chairs so that the leftmost chair is used and the rightmost chair is empty? y=3x+93y=9x+9 how many solutions there are 324 students in a college who have taken a course in calculus, 211 who have take a course in discrete mathematics, and 135 who have taken a course in both calculus and discrete mathematics. how many students at this college have taken a course in either calculus or discrete mathematics? i cn T FING THIS HELPPPPPPPP in what ways can the Gettysburg Address be considered a "masterpiece of the highest order"? use evidence need a good response, please will give 100 points and BRAINLIEST Given that A = {1, 2,2 3} and B = {4, 6}, then find BA 9b 9a) Use the slope formula to determine the rate of change eq y- and find the y-intercept "5" by substituting the x and y values into y=mx + b Consider the right triangle shown below wherea=8.09,b=9.4, andc=12.4. Note that andare measured in radians.What is the value ofcos()?cos()=What is the value ofsin()?sin()=What is the value oftan()?tan()=What is the value of?= Which of the following choices are correct ways to name the line in the figure below? an objects velocity at time t is given by v(t) = 2 sin t. Let s(t) represent the objects position at time t. If s(0) = 0, then s(t) = A French restaurant used 808,870 ounces of cream last year. This year, due to a menu update, it used 90% less. How much cream did the restaurant use this year?