A 8.10-kg block is at rest on a horizontal floor. if you push horizontally on the 8.10-kg block with a force of 12.0 n, it just starts to move. what is the coefficient of static friction?

Answers

Answer 1

It just starts to move. The coefficient of static friction between the block and the floor is approximately 0.151.

N = (8.10 kg) (9.81 m/s^2) = 79.4 N

Now we can substitute these values into the formula for static friction:

f_s = μ_s N

12.0 N = μ_s (79.4 N)

Solving for μ_s, we get:

μ_s = 12.0 N / 79.4 N

μ_s = 0.151

Static friction is a force that arises between two surfaces that are in contact with each other but not in motion relative to each other. When an external force is applied to an object that is at rest, static friction opposes the force and prevents the object from moving.

This type of friction is the reason why you need to push a heavy object harder and harder until it starts moving. Once the object starts moving, the force required to keep it moving is reduced, and dynamic or kinetic friction takes over. The magnitude of the static friction force depends on the nature of the surfaces in contact, the normal force pressing the surfaces together, and the coefficient of static friction.

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Related Questions

Mum's showing me the ancient egypt room. We're in the

Answers

Mum's showing me the Ancient Egypt room. We're in awe of the fascinating artifacts and historical significance they hold.

As we explore the Ancient Egypt room, we are captivated by the rich cultural heritage and the remnants of an ancient civilization that once thrived along the Nile River. The artifacts on display offer a glimpse into the lives of the pharaohs**, the majestic pyramids, intricate hieroglyphics, and the religious beliefs of the ancient Egyptians. The room is adorned with statues, jewelry, burial artifacts, and mummified remains, all of which evoke a sense of wonder and admiration for this ancient civilization that flourished thousands of years ago. We feel privileged to witness and learn from these remarkable relics that connect us to a distant era of human history.

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7. Sally's mass on Earth is 50 kg. What is her weight on the moon?
The acceleration due to gravity she experiences on the moon is 1.652
a. 490 N
b. 8.3 kg
c. 50 kg
d. 82.6 N

7. Sally's mass on Earth is 50 kg. What is her weight on the moon?The acceleration due to gravity she

Answers

Answer:

82.6

Explanation:

How far apart are two conducting plates that have an electric field strength of 4. 4 kv/m between them, if their potential difference is 15 kv?

Answers

Conducting plates will be 3.75 m apart if an electric field strength of 4. 4 kV/m between them, if their potential difference is 15 kV

The potential difference, also referred to as voltage difference between two given points is the work in joules required to move one coulomb of charge from one point to the other. The SI unit of voltage is the volt. Volt Formula.

In a simple parallel-plate capacitor, a voltage applied between two conductive plates creates a uniform electric field between those plates. The electric field strength in a capacitor is directly proportional to the voltage applied and inversely proportional to the distance between the plates.

E = V/d

E = Electric field strength

d = distance between the plates

V = potential difference

Electric field strength = 4 kV/m

Potential difference  =  15 kV

d = V / E =  15 kV / 4 kV/m

  = 3.75 m

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Explain why ethylated spirit at room temperature when dropped at the back of the Palm makes the Palm to feel very cold.

Answers

Answer:

methylated spirit is in fact methanol added to ethanol (usually 10% methanol is used). The liquid evaporates which means that the liquid converts to a gaseous state. This process requires energy which it extracts from your body in the form of heat.

Explanation:

A 1 kg water balloon falls downward and experiences a 4.9 N air resistance as it approaches the ground. What is the acceleration of the water balloon when it experiences this air resistance?​

Answers

answer each problem with only one note

I’m confuse like which two types of fields vibrate in light wave

Answers

Electromagnetic waves consists of alternate electrical and magnetic fields.

Light is a electromagnetic wave. Hence in light wave, electrical and magnetic fields vibrate.

Answer quick!!! (Edge 2021)
Haley noticed a small spot on her skin that turned out to be skin cancer. Which treatment is her doctor most likely to use?
A) Brachytherapy
B) Superficial external beam radiation therapy
C) Radiopharmaceuticals
D) High Intensity Focused Ultrasounds

Answers

Answer:
B) Superficial External bean Radiation Therapy.

Explanation:

Surgery, radiation, chemotherapy and hormone therapy can all be used to relieve signs and symptoms. Medications may relieve symptoms such as pain and shortness of breath. Palliative treatment can be used at the same time as other treatments intended to cure your cancer.

The treatment most likely to use is Superficial External bean Radiation Therapy. Then the correct option is B.

What is the electromagnetic spectrum?

The electromagnetic spectrum consists of the range of all types of EM radiation. Radiation is a packet of energy that travels and spreads out.

It has radio waves, infrared waves, visible light waves, ultraviolet rays, and microwaves.

They possess high energy even to penetrate deep within the material. the electromagnetic spectrum has a longer wavelength and less frequency.

Haley noticed a small spot on her skin that turned out to be skin cancer.

Surgery, radiation, chemotherapy, and hormone therapy can all be used to relieve signs and symptoms.

Medications may relieve symptoms such as pain and shortness of breath. Palliative treatment can be used.

The treatment most likely to use is Superficial External bean Radiation Therapy.

Then the correct option is B.

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PLEASE I NEED HELP WITH THIS ASAP

A student finds a rock on the way to school. In the laboratory he determines that the volume of the rock by placing the rock in a graduated cylinder with 50 cm3 of water and watched the water rise to 72.7 cm3. The student determined the mass is 39.943 g through the use of a triple beam balance. What is the density of the rock?

With step by step explanation

Answers

Answer:

density=mass/volume

39.943/22.7=1.75

Explanation:

Consider a car speeding up as it drives along a level road. what is an action-reaction pair (from newton’s third law)?

Answers

Newton's third law of motion states that for every action, there is an equal and opposite reaction. The action-reaction pair is used to describe the interaction between two objects. Therefore, when a car is speeding up as it drives along a level road, an action-reaction pair occurs.

An action-reaction pair is a pair of forces that are equal in strength and opposite in direction. When an object exerts a force on another object, the second object exerts an equal and opposite force on the first object. The action-reaction pair when a car speeds up as it drives along a level road can be explained as follows: Action force: The car exerts a force on the road in the forward direction. This is the action force. Reaction force: The road exerts a force on the car in the backward direction. This is the reaction force.

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A small coin is placed on a flat, horizontal turntable. The turntable is observed to make three revolutions in πs. What is the coefficient of static friction between the coin and the turntable, if the coin is observed to slide off the turntable when it is greater than 10 cm from the centre of turntable?

Answers

The coefficient of static friction between the coin and the turntable is approximately 0.366.

The centripetal force required to keep the coin moving in a circle is provided by the frictional force between the coin and the turntable. The maximum frictional force that can be exerted without the coin sliding off is given by:

F_fmax = μ_s * N

where μ_s is the coefficient of static friction and N is the normal force exerted on the coin.

The centripetal force required is given by:

\(F_c = m \times (v^2 / r)\)

where m is the mass of the coin, v is its velocity, and r is the distance from the center of the turntable to the coin.

The velocity of the coin can be determined from the number of revolutions the turntable makes in a given time. If the turntable makes three revolutions in π seconds, the angular velocity of the turntable is:

ω = (2π * 3) / π = 6 rad/s

The tangential velocity of the coin is the same as the tangential velocity of any point on the turntable at the same distance from the center. So, we can write:

v = r * ω

Now, let's substitute the expressions for centripetal force and velocity into the maximum frictional force equation:

F_fmax = μ_s * N = m * (v^2 / r)

Since the coin is observed to slide off when it is greater than 10 cm from the center, we can use r = 0.1 m.

The normal force N is equal to the weight of the coin:

N = m * g

where g is the acceleration due to gravity.

Substituting all these values and equations, we get:

μ_s * m * g = m * (r * ω)^2 / r

μ_s * g = (r * ω)^2 / r

μ_s = (r * ω)^2 / (r * g)

Substituting the given values, we have:

μ_s = (0.1 m * 6 rad/s)^2 / (0.1 m * 9.81 m/s^2)

μ_s ≈ 0.366

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30POINTS!!!!The solar wind is made up of electrically charged particles. They do not cause harm on Earth. They are too weak.
True
or
False

Answers

Answer:

true

Explanation:

the explanation is we would have been roasted if they weren't to weak

6: The capacitor 3μF is paralleled with the Series combination of the Capacitors 4uf and 5uf the equivalent Capacitance.​

Answers

Explanation:

ce.

The equivalent capacitance of a parallel combination of capacitors is the reciprocal of the sum of the reciprocals of the individual capacitances. Therefore, the equivalent capacitance of a 3μF capacitor paralleled with a series combination of a 4μF and 5μF capacitor is:

1 / (1/3 + 1/4 + 1/5) = 1 / (1/12 + 1/20 + 1/15) = 1 / (7/60 + 3/60 + 4/60) = 60/14 = 4.2857 μF

What determines the velocity of an object?
O A. Its acceleration at a given point in time
O B. Its weight in a given location
C. Its displacement in a given period of time
O D. Its mass at its final position

Answers

Answer:

C

Explanation:

Option C - Its displacement in a given period of time is the correct alternative.

We have the velocity of an object.

We have to find out what other quantity is needed to determine the velocity.

What is velocity ?

Velocity is defines as the rate of change of displacement with time. Mathematically -

v = Δx/Δt

According to the question -

As discussed above, velocity is the ratio of displacement and time taken to cover that displacement. Velocity is the measure of how fast a specific object is moving. Lesser the time taken to cover the distance, faster is the object as -

F \(\alpha\) 1 / t

Acceleration, weight and mass of the object has nothing to correlate with the velocity of object at any specific location since mass and weight will remain constant throughout.  Therefore it is displacement in given period of time that is required.

Hence, Option C is the correct alternative.

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a meteoroid falls toward the earth. it is essentially at rest with respect to the earth when it is at a height of 3.41 107 m above the earth's surface. with what speed does the meteorite (a meteoroid that survives to impact the earth's surface) strike the earth?

Answers

The answer is that the meteorite will strike the Earth at a speed of 2.31 x 10²⁰ N·s/m, depending on its mass.

Assuming the meteorite falls in a vacuum and there are no other forces acting on it, it will accelerate as it falls towards the Earth. This acceleration is caused by the gravitational force of the Earth, which is equal to:

F = GMm/r²

where G is the universal gravitational constant, M is the mass of the Earth, m is the mass of the meteorite, and r is the distance between the two objects.At a height of 3.41 x 10⁷ m, the gravitational force can be calculated as follows:

F = (6.67 x 10⁻¹¹) (5.97 x 10²⁴) (m) / (3.41 x 10⁷)2

F = 6.64 x 10¹⁴ N

This is the force causing the acceleration of the meteorite.

The acceleration can be calculated using Newton's Second Law, which states that the force is equal to the mass times the acceleration.

F = ma

Solving for a, we get:

a = F/m

Plugging in the values we calculated above, we get:

a = (6.64 x 10¹⁴ N)/m

By the time the meteorite reaches the surface of the Earth, it will have accelerated to a velocity equal to the integral of the acceleration over time. This can be expressed as follows:

v = ∫a dt

This integral can be solved using the equation for acceleration we derived above:

v = ∫(6.64 x 10¹⁴ N/m)dt

Solving for v, we get:

v = (6.64 x 10¹⁴ N/m)t

At the surface of the Earth, the time since the meteorite was at a height of 3.41 x 10⁷ m is equal to:

t = (3.41 x 10⁷ m)/(9.8 m/s²)

t = 3.48 x 10⁵ s

Plugging this into our equation for velocity, we get:

v = (6.64 x 10¹⁴ N/m)(3.48 x 10⁵ s)

v = 2.31 x 10²⁰ N·s/m

Finally, we can convert this to speed by dividing by the mass of the meteorite:

v = (2.31 x 10²⁰ N·s/m)/m

So, the answer is that the meteorite will strike the Earth at a speed of 2.31 x 10²⁰ N·s/m, depending on its mass.

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Objects 1 and 2 attract each other with an electrostatic force of 8 units. If the charge of Object 1 is multiplied by 1 AND the charge of object 2 is multiplied by 3 AND the distance separating Objects 1 and 2 is divided by 4, then the new electrostatic force will be _____ units.

Answers

The new electrostatic force will be 384 units.  

The electrostatic force of attraction between two charges \(q_{1} \\\)(charge of object 1)  and \(q_{2}\)(charge of object 2) separated by a distance d is given by

\(F = \frac{q_{1} q_{2}}{4\pi E_{0} d^{2} } \\\)

\(E_{0} = 8.854 * 10^{-12} C^{2} N^{-1} m^{-1}\) is the permittivity of free space.

Initially, we have,

\(\frac{q_{1} q_{2}}{4\pi E_{0} d^{2} } =F_{1} = 8 units\)  

Now, if the charge of object 1 is multiplied by 1, the charge of object 2 is multiplied by 3, and the distance separating objects 1 and 2 is divided by 4, we have, \(q_{1} =q_{1}, q_{2} =3q_{2} , d=\frac{d}{4}\).

The new electrostatic force will be,

\(F_{2} = \frac{q_{1} 3q_{2}}{4\pi E_{0} (\frac{d}{4} )^{2} } \\\\\) units.

We have, \(F_{1} = 8 units= \frac{q_{1} q_{2}}{4\pi E_{0} d^{2} } \\\)

Hence,

\(F_{2} =\frac{8*3}{(\frac{1}{4}) ^{2} } units= 384 units.\)

Hence, the new electrostatic force will be 384 units.

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what is the difference in seismic wave arrival of the epicenter is 5000 km away

Answers

Answer:

2 minutes 20 seconds

Q. Seismic station A is 5000 kilometers from the epicenter. What is the difference between the arrival time of the first P-wave and the arrival time of the first S-wave recorded at this station? answer choices 2 minutes 20 second

Explanation:

A set of pulleys is used to lift a bookcase. 3000 J of work was done in 60 seconds. How much power was used?

Answers

Answer:

50 Watts

Explanation:

Power = work / time = 3000J / 60 seconds

Glider‌ ‌A‌ ‌of‌ ‌mass‌ ‌0.355‌ ‌kg‌ ‌moves‌ ‌along‌ ‌a‌ ‌frictionless‌ ‌air‌ ‌track‌ ‌with‌ ‌a‌ ‌velocity‌ ‌of‌ ‌0.095‌ ‌m/s.‌ ‌It‌ ‌collides‌ ‌with‌ ‌glider‌ ‌B‌ ‌of‌ ‌mass‌ ‌0.710‌ ‌kg‌ ‌moving‌ ‌in‌ ‌the‌ ‌same‌ ‌direction‌ ‌at‌ ‌a‌ ‌speed‌ ‌of‌ ‌0.045‌ ‌m/s.‌ ‌After‌ ‌the‌ ‌collision,‌ ‌glider‌ ‌A‌ ‌continues‌ ‌in‌ ‌the‌ ‌same‌ ‌direction‌ ‌with‌ ‌a‌ ‌velocity‌ ‌of‌ ‌0.035‌ ‌m/s.‌ ‌What‌ ‌is‌ ‌the‌ ‌velocity‌ ‌of‌ ‌glider‌ ‌B‌ ‌after‌ ‌the‌ ‌collision?

Answers

Answer:

vB' = 0.075[m/s]

Explanation:

We can solve this problem using the principle of linear momentum conservation, which tells us that momentum is preserved before and after the collision.

Now we have to come up with an equation that involves both bodies, before and after the collision. To the left of the equal sign are taken the bodies before the collision and to the right after the collision.

\((m_{A}*v_{A})+(m_{B}*v_{B})=(m_{A}*v_{A'})+(m_{B}*v_{B'})\)

where:

mA = 0.355 [kg]

vA = 0.095 [m/s] before the collision

mB = 0.710 [kg]

vB = 0.045 [m/s] before the collision

vA' = 0.035 [m/s] after the collision

vB' [m/s] after the collison.

The signs in the equation remain positive since before and after the collision, both bodies continue to move in the same direction.

\((0.355*0.095)+(0.710*0.045)=(0.355*0.035)+(0.710*v_{B'})\\v_{B'}=0.075[m/s]\)

pleaswe help me ewwfea

pleaswe help me ewwfea

Answers

Answer:

The first one is Earths Tilt on its axis

1. B
I’m not sure about the second one ): sorry

I WANT TO PLAY UNDERTALE PLS HELP 100 PTS SINENCE

Answers

Answer:

Use IGG Games or get money.

Explanation:

Answer:

Go to Undertale.com and buy it

Explanation:

sorry i don't really know how to answer this

Suggest one reason why the experiment might not have given a correct value for
the specific heat capacity of the metal.

Answers

Answer:

It is because some of the heat is lost in the surroundings.

Explanation:

To calculate the specific heat of the metal, the following steps are performed.

Take a piece of metal whose mass and the initial temperature is known.

Now take a beaker filled with some measured amount of water and the temperature of water is known.

Drop the heated metal piece in the water so that the equilibrium is reached.

According to the principle of calorimetery,

Heat lost by the metal = heat gained by the water

here, some of the heat is lost in the surroundings so we don't get the correct value of the specific heta of the metal.

1. What are the components of vector A?
2. What are the components of vector C?
3. Find a magnitude and direction (the counterclockwise angle with the +x-axis) of a vector that is equal to A + C?
4. Find a magnitude and direction (the counterclockwise angle with the +x-axis) of a vector that is equal to A + B?

1. What are the components of vector A?2. What are the components of vector C?3. Find a magnitude and

Answers

Answer:

The answer is 4

Explanation:

The direction angle—or direction, for short—is the angle the vector forms with the positive direction on the x-axis. The angle θA is measured in the counterclockwise direction from the +x-axis to the vector ((Figure))

The metric unit for weight force is _______ and the metric unit for force is ________.

A.kilograms; Newtons
B.Newtons; Newtons
C.Newtons; kilograms
D.Newtons; pounds
E.pounds; Newtons

Answers

Answer:

A

Explanation:

Because i used google and it gave me both of the answers in like 5 seconds

The resistivity of a given wire of cross sectional area 0.7mm is 4.9*10-4mm.Calculate the resistance of 2m length of the wire

Answers

Answer: \(1.4\ \Omega\)

Explanation:

Given

Cross-sectional area \(A=0.7\ mm^2\)

Resistivity \(\rho =4.94\times 10^{-4}\ \Omega-mm\)

Length of wire \(l=2\ m\ or\ 2000\ mm\)

Resistance is given by

\(\Rightarrow R=\dfrac{\rho l}{A}\\\\\text{Insert values}\\\\\Rightarrow R=4.9\times 10^{-4}\times \dfrac{2000}{0.7}\\\\\Rightarrow R=1.4\ \Omega\)

How does mass affect the amount of kinetic energy in a moving object? Explain how you know by stating your claim, the evidence for your claim, and your reason why this evidence supports your claim.

Answers

A moving object's kinetic energy is inversely correlated with its mass and inversely correlated with the square of its speed.

What is the impact of mass on kinetic energy?

If all other variables are maintained constant, mass and kinetic energy have a positive relationship, which indicates that as mass grows, kinetic energy increases. Accordingly, an object with the same mass and speed as another object will have twice the kinetic energy, and another object with the same mass and speed as another object will have four times the initial kinetic energy.

It is more difficult to move and stop heavier objects (i.e., items with more mass). Greater mass, or heavier items, resist change more than lighter ones do. Using a bicycle or a Cadillac while being pushed, or stopping them once they are moving. The difficulty of starting or stopping an object increases with its mass (or inertia).

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Why are understandings of patterns so important to human development?

Answers

Patterns provide a sense of order in what might otherwise appear chaotic. Researchers have found that understanding and being able to identify recurring patterns allow us to make educated guesses, assumptions, and hypothesis; it helps us develop important skills of critical thinking and logic

Answer:

Understanding patterns is important for human development because it allows us humans to make more Educated guesses in life. It allows the human brain to strengthen its logical thinking.

Explanation:

For example: A baby will occasionally learn to roll over or crawl through time. The pattern of doing such things allows the baby to learn more from its actions to make new ones.

I hope this helped im new but want to help :)  

3. The earth exerts a gravitational force of 530 N on an object. What is the mass
of the object in kilograms?

Answers

Answer: Approximately 54 kg

===============================================

The force is F = 530 newtons.

The acceleration of gravity on earth is approximately 9.8 m/s^2, so a = 9.8

Use Newton's second law to find m

F = m*a

530 = m*9.8

9.8m = 530

m = 530/9.8

m = 54.0816326530612

m = 54

The mass is about 54 kg.

Answer:

around 53-54

Explanation:

the gravitational pull is almost 10 (9.807 m/s²) so as long as the numbers are not that big its easy and mostly accurate to divide by 10

you are standing 0.50 m in front of a lens that projects an image of you onto a wall 2.7 m on the other side of the lens. part a what is the focal length of the lens?

Answers

If  you are standing 0.50 m in front of a lens that projects an image of you onto a wall 2.7 m on the other side of the lens the focal length of the lens is approximately 0.42 meters.

To find the focal length of the lens, we can use the lens formula:

1/f = 1/u + 1/v

Where:
f = focal length of the lens
u = object distance (distance between the object and the lens)
v = image distance (distance between the image and the lens)

Given:
u = 0.50 m (you are standing 0.50 m in front of the lens)
v = 2.7 m (the image is projected onto a wall 2.7 m on the other side of the lens)

Now, we can plug the values into the lens formula:

1/f = 1/0.50 + 1/2.7

To solve for f, first find the sum of the two fractions:

1/f = (2.7 + 0.50) / (0.50 * 2.7)
1/f = 3.2 / 1.35

Now, take the reciprocal of both sides to get the focal length:

f = 1.35 / 3.2
f ≈ 0.42 m

So, the focal length of the lens is approximately 0.42 meters.

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A penny is dropped from a building that is 95 m tall. How long does it take the penny to hit the ground below?

Answers

Answer:

The penny would take 10 seconds to fall.

Explanation:

Hope this helps!!

If a penny is dropped from a building that is 95 m tall then it would 3.111 seconds take the penny to hit the ground below

What are the three equations of motion?

There are three equations of motion given by  Newton

The first equation is given as follows

v = u + at

the second equation is given as follows

S = ut + 1/2×a×t²

the third equation is given as follows

v² - u² = 2×a×s

Keep in mind that these calculations only apply to uniform acceleration.

As given in the problem, A penny is dropped from a building that is 95 m tall,the initial velocity of the penny is zero, the acceleration acting is due to the acceleration due to gravity

height of the building (S) = 95 meters

initial velocity(u) = 0 m/s

acceleration(a) = 9.81 m/s²

By using the second equation of motion given by newton

S = ut + 1/2at²

S = 95 m ,u= 0 m/s , a= 9.81 m/s² and t =? seconds

95 = 0 + 9.81t²

t² = 95/9.81

t = 3.111 seconds

Thus, if a penny is dropped from a building that is 95 m tall then it would   take 3.111 seconds for the penny to hit the ground below

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what is the angular speed of a 2 cm long hand rotating smoothly?

Answers

Answer:.pi/15 cm/s (approx .2094395 cm/s)

Explanation:

Use 2 as your radius which will make the circumference of the clock equal to 4 pi (remember the formula for circumference is pi * diameter)

Using the circuference we can use the formula Speed = distance/Time and plug in our numbers

4pi / 60 seconds = .2094395 cm/s or .002094395 m/s

Other Questions
Decomposers are important in the environment because theyA. convert large molecules into simpler molecules that can then be recycledB. release heat from large molecules so that the heat can be recycled through the ecosystemC. can take in carbon dioxide and convert it into oxygenD. convert molecules of dead organisms into permanent biotic parts of an ecosystem A national food product company thinks that it sells more frozen pizza during the winter months than during the summer months. Average weekly sales for a sample of stores in the Baltimore area over a three-year period provided the following data for sales volume (in pounds) during the two seasons.|Season | N | Mean | Stdev | Minimum | Maxinum | |-|-|-|-|-| |Winter | 38 | 31234 | 13500 | 15312 | 73841| |Summer | 40 | 22475 | 8442 | 12743 | 54706|Some additional information about the pizza sales data, It is generally thought that sales spike during the weeks leading up to AFCAFC and NFCNFC football championship games, as well as leading up to the Super Bowl at the end of January each year. If we omit those 6 weeks of sales from this three-year period of weekly sales, the summary statistics look like this.Season N Mean StDev Minimun MaximunWinter 32 28995 9913 15312 48354Summer 40 22475 8442 12743 54706Do sales appear to be higher during the winter months after omitting those weeks most influenced by football championship games?c) Propose additional factors that may influence pizza sales not accounted for in this exercise. Find: 11/32/3 the question is five and can some help me get aryonnamiller2026 to respond to me If fog(x) = 2x-1/x and g(x) = 5x + 2. Find a. f(x) b. The truth set of g inverse (x) + 3 = gof (x) Dominic serves on the Armed Services Committee. What part of government does he belong to?executivemilitaryjudiciallegislative A math club decided to buy t-shirts for its members. A clothing company quoted the following prices for the T-shirts. Number of Total Cost t-Shirts (dollars) 5 45 10 75 15 105 20 135 Which equation best describes the relationship between the total cost, y, and the number of t- shirts, x? y = x(x 3) find the zeros of each function, state the multiplicity of multiple zeros The manager of a grocery store in Decatur currently provides special service to people who still use checks to pay for food. They have a separate pay/bag line for people who insist on waiting for a dollar total to pull out their checkbook and start writing. On average, 30 customers per hour arrive at the checking pay/bag line and they can be modeled with a Poisson distribution. The clerk at this line can handle an average rate of 35 customers per hour and their service can be modeled with exponential distribution. a. 67%. b. 75%.c. 33%.d. 25%.Utilization Average time a customer spends in the systemrho = / w = 1/ - = L/ Average # of customers in the system Average time a customer spends in the queueLs = / - Wq = /( - ) = Ls/ Average # of customers in queue Probability of n units in the syst The density of mercury is 13.6 g/mL. What is this density in lb/ft3? (1 kg = 2.2046 lb; 1 in = 2.54 cm (exact); 1 mL = 1 cm3) [This problem MUST be solved all in one string.] What is the factored form of x29 j ltd is a company which offers home television repairs to customers. it has an excellent reputation for customer service and good quality workmanship. j feels that this has given it a competitive advantage in the market. j is considering launching a car maintenance and repair service. it feels that its excellent reputation is likely to make such a move successful. which approach to strategic planning is j adopting? What is the initial value of the exponential functionshown on the graph?0124 The next codon is GCA. . Using what you've learned about base pairing, select the tRNA with the anticodon that would pair to GCA. the price elasticity of demand of a good is also impacted by the defined time horizon. compared to the short-run demand for oil, the demand for oil in the long run will tend to be You have an opportunity to buy either shares of common stock or shares of convertible preferred stock, for the same company. The Preferred stock is convertible to a set number of shares of common stock. All other things equal, would you consider buying the convertible preferred stock a buffer consists of 0.24 m h3po4 and 0.39 m nah2po4. given that the k values for h3po4 are, ka1 = 7.2 x 10-3, ka2 = 6.3 x 10-8, and ka3 = 4.2 x 10-13, calculate the ph for this buffer. ideal gas law (if there are links to good videos please add aswell)estion Completion Status: QUESTION 1 Calculate the volume in liters of a 6.16 mol sample of a gas at 76 "C and 2.72 atm. (R-0.082 L-atm/K mol) QUESTION 2 One mole of an ideal gas occupies 22.4 L at st b. Describe in general how terminator devices capture the power of waves. In particular, explain how the oscillating water column works. (3 points) Tom Johnson Manufacturing intends to increase capacity through the addition of new equipment. Two vendors have presented proposals. The fixed costs for proposal A are $50,000, and for proposal B, $70,000. The variable cost for A is $12.00, and for B, $10.00. The revenue generated by each unit is $20.00.a) If the expected volume is 8,500 units, _______(proposal A or proposal B) with a total profit = $______ should be chosen (enter your response as a whole number).