The Fish Scale Review I Constants A vertical scale on a spring balance reads from 0 to 180 N The scale has a length of 12.0 cm from the 0 to 180 N reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.35 Hz Part A Ignoring the mass of the spring, what is the mass m of the fish? Express your answer in kilograms.

Answers

Answer 1

The mass of the fish hanging from the spring is approximately 0.284 kg.

To determine the mass of the fish using the Fish Scale Review I Constants, we need to use the equation for the frequency of a simple harmonic oscillator, which is:

f = 1/2π * √(k/m)

where f is the frequency, k is the spring constant, and m is the mass of the object attached to the spring.

We can solve for m by rearranging the equation:

m = k(2πf)²

Since the scale reads from 0 to 180 N over a length of 12.0 cm, the spring constant is:

k = (180 N) / (0.12 m) = 1500 N/m

Plugging in the frequency of 2.35 Hz, we get: m = (1500 N/m) * (2π * 2.35 Hz)² = 0.284 kg

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Related Questions

an object experiences a force which varies with position as where -3.33 n/m and 4.4 n/m3. calculate the chan

Answers

The change in potential energy of the object is given by the above expression. ΔU = -1.665(x2^2 - x1^2) + 1.1(x2^4 - x1^4)

To calculate the change in potential energy of the object, we need to integrate the force with respect to position.

The potential energy change, ΔU, is given by:

ΔU = -∫Fdx

where F is the force and dx is the infinitesimal displacement.

In this case, the force is given as:

F(x) = -3.33x + 4.4x^3

Substituting this into the equation for potential energy change, we get:

ΔU = -∫(-3.33x + 4.4x^3)dx

Integrating this expression with respect to x, we get:

ΔU = [-1.665x^2 + 1.1x^4] + C

where C is the constant of integration.

To find the change in potential energy between two positions x1 and x2, we need to evaluate the expression for ΔU at these two positions and take the difference:

ΔU = [-1.665x2^2 + 1.1x2^4] - [-1.665x1^2 + 1.1x1^4]

Simplifying this expression, we get:

ΔU = -1.665(x2^2 - x1^2) + 1.1(x2^4 - x1^4)

Therefore, the change in potential energy of the object is given by the above expression.

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What is the current produced by a potential difference of 120 volts through a resistance of 0.8 ohms

Answers

Answer:

150A

Explanation:

Given parameters:

Potential difference  = 120V

Resistance  = 0.8Ω

Unknown:

Current  = ?

Solution:

From ohm's law;

           I  = \(\frac{V}{R}\)  

I is the current

V is the voltage

R is the resistance

        Now insert the parameters and solve;

            I = \(\frac{120}{0.8}\)   = 150A

Under most conditions, except ________ change, the resistance of an object is a constant and does not depend on the amount of the voltage or the amount of current passing through it.

Answers

Answer:

Temperature change

Explanation:

The density of nuclear matter is about 10^18 kg/m^3. Given that 1 mL is equal volume to 1 cm³ , what is the density of nuclear matter in mega grams per microliter

Answers

The density of above given nuclear matter is  \(10^{6}\) Mg/µL.

What is the density mass volume of the nucleus?The mass divided by the volume gives us the density. A times the mass of a nucleon, or mnucleon 1.6*10-27 kg, is the mass of a nucleus. With R equal to R0A1/3, the volume is (4/3)R3. The number of nucleons is A.An atom's nucleus has a density of around 2.31017 kg/m3, on average. The term for this is nuclear density. Since it is independent of the mass or size of the nucleus, it is the same for all nuclei.The nuclear density is exceptionally high since the majority of an atom's mass is contained within its atomic nucleus, which is also a very small portion of the overall atom.

Given data :

density of nuclear =  kg/m³

1 ml = 1 cm³

we know here

1 Mg = 1000 kg

so

1 m³ is equal to \(10^{6}\) cm³

and here 1 cm³ is equal to  1 mL

so we can say 1 mL is equal to 10³ µL

so by these we can convert density

density =  \(10^{18}\) kg/m³

density =  \(10^{18}\) kg/m³ x \(\frac{10^{-3} }{10^{6} }\)

density =   \(10^{6}\) Mg/µL.

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Write a set of turtle instructions to draw an AND gate.

Answers

The turtle's position and direction appropriately after each instruction to ensure accurate drawing. You can also customize the colors, sizes, and shapes to enhance the visual appearance of the AND gate.

To draw an AND gate using turtle graphics, you can use the following set of instructions:

Set up the turtle:

a. Set the turtle's initial position.

b. Set the turtle's pen color and size.

Draw the first input line:

a. Move the turtle forward to the starting point of the line.

b. Draw a straight line segment to represent the first input.

Draw the second input line:

a. Move the turtle to the starting point of the second line.

b. Draw a straight line segment to represent the second input.

Draw the output line:

a. Move the turtle to the starting point of the output line.

b. Draw a straight line segment to represent the output.

Draw the logic gate shape:

a. Move the turtle to the starting point of the gate.

b. Draw a rectangle to represent the gate.

c. Add any necessary labels or symbols to indicate it as an AND gate.

Add connections between lines and gate:

a. Move the turtle to the intersection point of the first input line and the gate.

b. Draw a small line segment to connect the input line to the gate.

c. Repeat the above step for the second input line and the gate.

d. Draw a small line segment to connect the output line to the gate.

Repeat the above steps as necessary to draw multiple AND gates or any additional components.

Remember to adjust the turtle's position and direction appropriately after each instruction to ensure accurate drawing. You can also customize the colors, sizes, and shapes to enhance the visual appearance of the AND gate.

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Why is it that the lower mass individual may appear to experience more force from the larger mass player in a collision?

Answers

Answer:

One possible reason is that change in velocity is greater for the individual with lower mass.

Explanation:

By Newton's Law of Mechanics, magnitude of the force on two players would be the same in the collision. Let \(F\) denote this magnitude.

Assume that the duration of the collision is \(\Delta t\). In this collision, magnitude of the impulse \(J\) on each player would be the same: \(J = F\, \Delta t\).

At the same time, impulse is equal to the change in momentum. Specifically, if the mass of one player is \(m\) and the change in their velocity is \(\Delta v\), the change in their momentum would be \(m\, \Delta v\). Thus:

\(m\, \Delta v = J = F\, \Delta t\).

Rearrange to obtain an expression for the change in velocity:

\(\begin{aligned}\Delta v &= \frac{J}{m} = \frac{F\, \Delta t}{m}\end{aligned}\).

In other words, in this collision, change in velocity is inversely proportional to the mass of the participant. Hence, even though the two players experienced force of the same magnitude, the participant with a lower mass would experience a greater change in velocity.

an air parcel rises over a mountain and cools adiabatically. which lifting mechanism has acted on this parcel?

Answers

The mountain or orographic lifting mechanism has acted on the air parcel, causing it to rise and cool adiabatically as it moves up and over the mountain.

A mountain presents a physical barrier that pushes an air parcel to ascend when it rises over it. Orographic lifting is the term for this procedure. The parcel undergoes a drop in pressure as it rises, which causes adiabatic cooling. The air parcel cools due to adiabatic expansion as it climbs, which causes a decrease in temperature.

The dry adiabatic lapse rate, which measures the temperature drop as 10°C per 1000 metres of climb, is used to describe this phenomenon. The air's ability to condense and form clouds in response to cold may also result in precipitation.

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Orographic lifting mechanism has been used.

Orographic lift of moist air coming off the ocean produces clouds along the Santa Lucia Mountains south of Monterey, California, USA (Credit: NOAA). As an example, the North Shore mountains immediately north of Vancouver often experience heavy rain and snowfall due to orographic uplift.

Detailed Answer - Hi! The lifting mechanism that has acted on the air parcel as it rises over a mountain and cools adiabatically is called Orographic Lifting. This occurs when an air mass is forced to rise over elevated terrain, such as a mountain, causing it to cool and potentially form clouds or precipitation.

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what is good operating practice concerning the use of aircraft lighting while on the ground at night

Answers

Answer:

It is important to be extra careful at night and in periods of low visibility from sunset to sunrise and to focus on operating the aircraft safely when the aircraft is moving. Ensure checklist are run through and avoid non essential communications prior to the aircraft being stopped and the breaks are set

Explanation:

According to aircraft rules and regulation, the position lights of an aircraft are required to be switched on on an aircraft which is either operated on the surface and during flight from sunset to sunrise or when the elevation of the Sun below the horizon is more than 6°

However, the anti collision lights are not required to be lighted during night operations, unless the pilot in command specifies it for safety reasons

If the car falls down the side of the cliff, what is happening to the gravitational potential energy of the falling car (Assume the bottom of the cliff is zero)
Group of answer choices

the gravitational potential energy is decreasing

the gravitational potential energy has not changed

the gravitational potential energy is increasing

Answers

Explanation:

Gravitational potential energy is energy an object possesses because of its position in a gravitational field. ... The gravitational potential energy is equal to its weight times the height to which it is lifted. PE = kg x 9.8 m/s2 x m = joules. The 9.8 us the gravitational acceleration constant.

so the answer is "the gravitational potential energy is decreasing"

An infrared beam of light as a wavelength of 7.7 mm What is this energy

Answers

Answer:

E=2.58155844×10^-29

Explanation:

we use this formula

E= hc/ lambda

E= [(6.626×10^-34)( 3×10^8)]/(7.7×10^-3)

E=2.58155844×10^-29

19. In an earthquake, most deaths are caused by. .
A. Ground waves
B. Liquefaction
C. P waves
D. Damage to buildings

Answers

Answer:

ground Waves

Explanation:

large hydroelectric dams produce a lot of carbon-free electricity once they are built but they have significant ______ consequences for areas nearby.

Answers

Large hydroelectric dams have significant environmental consequences for areas nearby.

These outcomes may include:flooding of wide regions of land, which may cause both human and animal displacement.Changes in water flow may have an effect on ecosystems downstream.River bank erosion and sediment buildup in reservoirs can contaminate water sources downstream.loss of biodiversity due to habitat fragmentation and fish migration caused by dams.Reservoir methane emissions may have an impact on climate change.

Therefore, Making decisions about the development of hydroelectric dams requires balancing the environmental costs against the advantages of clean, renewable electricity.

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A microscope illuminator uses a transformer to step down the 120 V AC of the wall outlet to power a 12.0 V,50 W microscope bulb.
A: What is the resistance of the bulb filament? Express your answer with the appropriate units.
B: What is the rms current in the bulb filament? Express your answer with the appropriate units.
C: What is the rms current in the primary coil? Express your answer with the appropriate units.

Answers

The resistance of the bulb filament is 2.88 Ω. The rms current in the bulb filament is 4.17 A. The rms current in the primary coil is 41.7 A.

A: The power of the microscope bulb, P = 50 W and the voltage of the bulb, V = 12.0 V

The resistance of the filament, R can be calculated by using the formula: Power = (Voltage)2/(Resistance)R = V2/P = (12.0 V)2 / 50 WR = 2.88 Ω

Thus, the resistance of the bulb filament is 2.88 Ω.

B: The voltage of the bulb, V = 12.0 V and the resistance of the bulb filament, R = 2.88 Ω

The rms current in the bulb filament can be calculated by using the formula: Irms = Vrms/R where Vrms = V = 12.0 VIRms = 12.0 V / 2.88 Ω = 4.17 A

Thus, the rms current in the bulb filament is 4.17 A.

C:  As we know, the voltage of the wall outlet is 120 V AC. The transformer steps down the voltage to the voltage required for the bulb, V = 12.0 V AC. The transformer is assumed to be ideal, so there is no loss of energy. The voltage and the turns ratio is proportional to the rms current in the primary coil of the transformer. The turns ratio of the transformer is the ratio of the secondary and primary voltages. Np/Ns = Vp/Vs

where Np = number of turns in the primary coil Ns = number of turns in the secondary coil Vp = voltage in the primary coil Vs = voltage in the secondary coil Substitute the values, Np/Ns = 120 V / 12.0 V = 10

So, the current in the primary coil of the transformer is 10 times greater than the current in the secondary coil of the transformer. Irms (primary) = 10 x Irms (secondary)Irms (primary) = 10 x 4.17 A Irms (primary) = 41.7 A Thus, the rms current in the primary coil is 41.7 A.

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Write the formula for a partially inelastic collision and explain what all 6 variables are and the unit each is measured in. State Newton’s 3 rd Law of Motion. State the Law of Conservation of Momentum and explain it in your own way.

Answers

Answer:

i don`t get it

Explanation:

find the weight of an astronaut whose mass is 75 kg on the moon

Answers

The formula for weight is always weight=mass X gravitational field strength.
We already know the mass is 75kg.
The gravitational field strength on the moon is 1.6N. To find out the weight, we can substitute these values in to the formula.
Weight=75 X 1.6
Weight= 120N
Weight is measured on Neutons as it is a force.

Circle the letter of each sentence that is true about calculating the
acceleration of a moving object.
A.) If an object is moving without changing direction, then its acceleration is the change in its speed during one unit of time.
B.) If an object's speed changes by the same amount during each unit of
time, then the acceleration of the object at any time is the same.
C.) To determine the acceleration of an object, you must calculate the
change in velocity during only one unit of time.
D.) If an object's acceleration varies, then you can describe only average
acceleration.

Answers

Answer: D

Explanation:

Flossie blew a tire 5 minutes into the second leg, up to that point she had traveled 10 km making her speed 2 km/m. It took 2 minutes to fix her tire. Flossie had to finish within 2 minutes in order to stay even with the evil Mabel. If Flossie had 8 km left what speed will she need to win?

Flossie blew a tire 5 minutes into the second leg, up to that point she had traveled 10 km making her

Answers

Answer:

4km/m

Explanation:

She was going at 2km/m, so 2 kilometers per minute. She has 2 minutes therefore she needs to double her rate to 4 kilometers per minute.

Applied force in garlic and effect of action applied

Answers

When a force is applied to an object, it can cause a change in the object's motion or state of rest.

If the force is unbalanced, it can cause the object to accelerate or decelerate, resulting in a change in speed or direction. The effect of the applied force depends on the mass and nature of the object, as well as the magnitude and direction of the force. Additionally, the object may experience other effects, such as deformation or compression, depending on the type and direction of the force applied. Understanding the effects of applied forces is crucial in fields such as engineering, physics, and mechanics.

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--The complete question is, When force is Applied  on an object describe effect of action applied. --

hii please help i’ll give brainliest if you give a correct answer please

hii please help ill give brainliest if you give a correct answer please

Answers

Answer:

your body is exerting a force on the chair and nothing is happening

Explanation:

Answer:

the second one

Explanation:

as you sit down you are using gravitational force which is pulling straight down but as you sit down there are currently no forces in motion while sitting

if a tent is touched with a finger on inner surface , when it is raining , it allows the rain water to leak through. give a reason for this observation

Answers

Explanation:

When water vapor in the air comes into contact with something cool, like the ceiling of a tent, its molecules slow down and get closer together. When that happens, the gaseous water vapor turns back into liquid water droplets. That's condensation!

a stone is dropped from a height of 4.9 m . find the time taken to cover this distance

Answers

Answer:

Explanation:

Initital velocity = 0

s=1/2*g*\(t^{2}\)

4/9 = 1/2*9.8 * \(t^{2}\)

\(t^{2} =1\\t=1 sec\)

The photograph shows a kettle made of the element copper. Which statement describes a chemical property of copper?

A. Copper forms a patina when it interacts with air.

B. Copper is a solid at room temperature.

C. Copper is a good conductor of electric current.

D. Copper can be re-shaped when hit with a hammer.

The photograph shows a kettle made of the element copper. Which statement describes a chemical property

Answers

A copper forms a patina when it interacts with air
Answer A
Explanation
B describes its matter (composition)
C describes its ability to conduct
D describes is mailability

A describes a chemical reaction with the air

a box experiences a varying net force that changes ots velocity

Answers

A moving thing has a tougher time stopping the more momentum it possesses. Because of this, stopping such an item would need more force or more time.

The force changes the object's velocity over the course of a specific period of time, which changes the object's momentum.

During a collision, an object is subjected to a force for a predetermined period of time, which causes a change in momentum. The mass of the item either accelerates or decelerates as a result of the force applied for the predetermined length of time. The object's change in momentum is equal to the impulse it experiences. The formula is F • t = m • v.

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Determine the magnitude of this force. 6. A point charge of +3.00μC is 12.0 cm distant from a second point charge of −1.50×10−6C. Calculate the magnitude of the force on each charge.

Answers

The magnitude of the force exerted by Q2 on Q1 is given by Coulomb's Law as follows:F21= kq1q2r2

where k is Coulomb's constant = 9 × 10^9 N m^2 C^-2

The distance between point charges, r is given in cm. Convert it to m as follows:r = 12.0 cm = 12.0 × 10^-2 mThen the magnitude of the force between the two charges is:F21= kq1q2r2

= 9 × 10^9 N m^2 C^-2 × +3.00 μC × -1.50 × 10^-6C (12.0 × 10^-2 m)^2

= -405 N

The negative sign indicates that the force between the two charges is attractive rather than repulsive. Since the force on Q2 is equal and opposite to that on Q1, the magnitude of the force on Q2 is also 405 N.The magnitude of the force on Q1 is 405 N and the magnitude of the force on Q2 is also 405 N.Therefore, magnitude of the force on Q1 is 405 N and the magnitude of the force on Q2 is also 405 N.

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Need help ASAP
Thanks+ BRAINLIST only for correct answers it’s due in 10 mins I really need help

1.what is the order if visible light in increasing energy?
-violet, indigo, blue, green, yellow, orange, red
-red, orange, yellow, green, blue, indigo, violet

2.visible light is a mixture of
-refraction and reflection
-atoms and molecules
-many colors
-ultra violet and non violet rays

Answers

1- option 2
2- option 1

Explanation:

1A. The visible light portion of the electromagnetic spectrum shows the rainbow of colors, with violet and blue having shorter wavelengths, and therefore higher energy. At the other end of the spectrum toward red, the wavelengths are longer and have lower energy.

so its option 2

2A. Atom and molecules

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Which statement illustrates how engineering has influenced society?
A. Digital cameras require far less time to generate images than film cameras
do.
B. Digital cameras allow people to take more pictures and share them more
widely than film cameras did.
C. People want the cameras in their cell phones to be able to capture high-
resolution images
D. People expect that advances in imaging technology will keep up with their
needs for sharing pictures.

Answers

The statement illustrates how engineering has influenced society in that People want the cameras in their cell phones to be able to capture high-resolution images. Option C is corect.

What is a digital camera?

A digital camera that creates pictures that can be saved on a computer and seen on a screen.

People want their mobile phone cameras to be able to take high-resolution pictures, which shows how engineering has affected society.

Statement B illustrates how engineering has influenced society.

Hence option C is correct.

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In the diagram, q1= -2.60*10^-9 C and
q2 = -8.30*10^-9 C. Find the magnitude
of the net electric field at point P.

In the diagram, q1= -2.60*10^-9 C andq2 = -8.30*10^-9 C. Find the magnitudeof the net electric field

Answers

Answer:

The magnitude of the net electric field is:

\(E_{net}=90.37\: N/c\)

Explanation:

The electric field due to q1 is a vertical positive vector toward q1 (we will call it E1).

On the other hand, the electric field due to q2 is a horizontal positive vector toward q2(We will call it E2).

Knowing this, the magnitude of the net electric field will be the E1 + E2.

Let's find first E1 and E2.

The electric field equation is given by:

\(|E_{1}|=k\frac{|q_{1}|}{d_{1}^{2}}\)

Where:

k is the Coulomb constant (k = 9*10^{9} Nm²/C²)q1 is the first charge d1 is the distance from q1 to P

\(|E_{1}|=(9*10^{9})\frac{|-2.60*10^{-9}|}{0.538^{2}}\)

\(|E_{1}|=80.84\: N/C\)

And E2 will be:

\(|E_{2}|=k\frac{|q_{2}|}{d_{2}{2}}\)

\(|E_{2}|=(9*10^{9})\frac{|-8.30*10^{-9}|}{1.36^{2}}\)

\(|E_{2}|=40.39\: N/C\)

Finally, we need to use the  Pythagoras theorem to find the magnitude of the net electric field.

\(E_{net}=\sqrt{E_{1}^{2}+E_{2}^{2}}\)

\(E_{net}=\sqrt{80.84^{2}+40.39^{2}}\)

\(E_{net}=90.37\: N/c\)

I hope it helps you!

Answer:

+90.3 N/C

Explanation:

acellus

in longitudinal waves in a spring, the parts where the coils are close together are called

Answers

Answer:

compression

Explanation:

compression

A skeletal equation is also called a/an equation​

Answers

An unbalanced equation is a chemical equation in which the total number of atoms of each element on the reactant side is not equal to the number of atoms of the same element on the product side. This equation is also called a skeletal equation.

Hope it helps

Have a good day :)

in addition to saturn's titan, which other moon has a nitrogen atmosphere?

Answers

Apart from Saturn's moon Titan, the other moon with a nitrogen atmosphere is Pluto's moon, Charon.

The New Horizons spacecraft, which conducted a flyby of Pluto and its moons in 2015, provided valuable data about Charon's atmosphere. It was discovered that Charon possesses a tenuous nitrogen atmosphere, albeit much thinner than that of Titan.

The presence of nitrogen on Charon is believed to be a result of Pluto's volatile ices, including nitrogen, escaping and replenishing Charon's surface over time.

Although the atmosphere is very thin and not as extensive as Titan's, the discovery of nitrogen on Charon contributes to our understanding of the diverse environments and processes occurring within the moons of our solar system.

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A gas sample with a mass of 0.250g is collected at 150.0C and 720 mmHg. The volume is 85.0mL. What is the molar mass of the gas? niacin is one of the b vitamins with the formula hc5h4nco2. consider a 0.020m solution of niacin with a ph of 3.26. use this information to find the ka of niacin.a.5.9 x 10 ^-9b.1.5 x 10 ^-5c.5.5 x 10 ^-4d.3.3 x 10 ^-3e.6.6 x 10 ^4 The nurse is reinforcing dietary teaching with an adolescent client who has chronic kidney failure and peripheral edema. Which of the following statements should the nurse include in teaching? 2. (5 points) You are making a playlist of songs for a road trip. You have a collection of 15,246 songs and have no preference with regards to the order in which the songs on your 150 song playlist play. How many possible playlists could you create? When an S Corporation's S status is terminated and the S Corporation becomes a Regular (C) Corporation, which of the following is true? a The Other Adjustments Account (OAA) immediately becomes Current Earnings And Profits (CEP). b The Accumulated Adjustments Account (AAA) remains Accumulated Adjustments Account (M) for approximately one (1) year after termination of the S status c The Previously Taxed Income (PTI) immediately becomes Accumulated Earnings And Profits (AEP) d The Accumulated Adjustments Account (AAA) immediately becomes Accumulated Earnings And Profits (AEP) what national basketball association player holds the record for most assists in a game Instructions. For each example presented below, identify whether positive reinforcement (PR), negative reinforcement (NR), or punishment (PUN) is illustrated by placing the appropriate abbreviation in the blank next to the item._____ 1. Police pulling drivers over and giving prizes for buckling up_____ 2. Suspending a basketball player for committing a flagrant foul_____ 3. A soccer player rolls her eyes at a teammate who delivered a bad pass_____ 4. A child snaps her fingers until her teacher calls on her_____ 5. A hospital patient is allowed extra visiting time after eating a complete meal_____ 6. Receiving a city utility discount for participating in a recycling program_____ 7. Grounding a teenager until his or her homework is finished_____ 8. Scolding a child for playing in the street_____ 9. A prisoner loses TV privileges for one week for a rule violation_____ 10. A parent nagging a child to clean up her room Lipids have many functions in the body as well as in foods. Select all of the statements that are true.A. Essential fatty acids must be supplied by food.B. Subcutaneous fat stores triglycerides and helps keep the body warm.C. Phospholipids are the building blocks for various proteins in the body.D. Phospholipids are a major component of plasma membranes.E. Phospholipids such as lecithin serve as antioxidants in foods.F. Cholesterol is used to make certain hormones.G. Triglycerides supply 7 kcal/g.H. Cholesterol provides 9 kcal/g. Patricia withdraws R10 000 from her savings account on which she earns interest of 10% per annum) to purchase a new computer which she will be able to use in her consultancy for a period of five years. The interest that she would have eamed (10% per annum) forms part of her economic costs of production in the first year. Note, you will lose 50% of the mark for this question if you choose the incorrect option. A TRUE B. FALSE why is there concern about the tsetse fly in sub-saharan africa? what situation most likely explains the occasional high frequency of certain inherited disorders among human populations established by a small population? see concept 23.3 (page) founder effect gene flow bottleneck effect nucleotide variability mutation Mark runs a driving range in New York City. He has taken notice of the three competitors who are located very close to his business. Mark decides to look at his competitors' pricing and then determine his best pricing strategy based on all of the information. In this scenario, Mark is utilizing _____. value pricing competitor-based pricing price skimming target ROI penetration pricing Suppose that x is a vector and we want to raise every component of the vector x to the power 3, and we want to know how long Matlab took to perform this calculation. What Matlab commands (using 12 characters or less) could achieve this? Note that your answer must produce the desired result when copied and pasted directly into Matlab (assuming that the vector x has already been defined) A retaining wall with sloping back, of vertical height 9m retains soil of density 1.6 Mg/m3, and angle of friction 30o. The soil slopes upwards at 20o to the horizontal from the back edge of the wall, the angle between the slope and the back of the wall is 100o. Cohesion 10kN/m2, angle of friction between soil and wall is 25o but there is no cohesion between them. Find the thrust on the back wall per metre run using trial values of 25, 30, 40, and 45o for the inclination for the plane of rupture to the vertical. a. At a product price of $56, will this firm produce in the short run? If it is preferable to produce, what will be the profit-maximizing or loss-minimizing output? What economic profit or loss will the firm realize per unit of output? b. Answer the questions of 4a assuming product price is $41. c. Answer the questions of 4a assuming product price is $32. d. In the table below, complete the short-run supply schedule for the firm (columns 1 and 2) and indicate the profit or loss incurred at each output (column 3). Let X and Y be two independent randomvariables Poisson distributed random variables with parameters and , respectively. Show that X + Y P oisson( + )Question 4. [3 pts) Let X and Y be two independent random variables Poisson distributed random variables with parameters 1 and u, respectively. Show that X + Y ~ Poisson(u + 1). (a) What are two central ideas the author develops in the article? A S(b) Compare Of the two central ideas you identified, which one does theauthor develop more effectively? Explain, citing supporting evidence. When finding the nth roots of a complex number, the exact values of these roots will be given in rectangular form, and the approximate values of these roots will be given in form Find the cube roots of 117 441 Your answers should be in rectangular form, with all numbers rounded to the nearest hundredths. Select one or more! O a 3.00 +4.002 O b. 4.96 +0.604 OC -1.96 + 1.964 O d. - 124.10 + 11.95 e. 3.00 4.00 Of 4.68 - 1.764 Og 1.96 4.602 O h. 75.00+ 100.00 Di 49.10 - 114.951 The while loop contains an expression/condition that is tested for a true or false value, and a statement or block that is repeated as long as the expression:a .evaluates to true or falseb. is falsec. is trued. is not truee.does not evaluate to true or false a) A data set with 4 continuous-valued features x1, x2, x3, and x4. The class label is +1 if the product of the x1 and x2 is greater than or equal to the product of x3 and x4; otherwise, it is -1. (3 points)b) A data set with 2 binary features, x1 and x2, whose class label y is determined as follows (this is similar to the XOR binary operator using -1 instead of 0): (3 points)x1x2y11-11-11-111-1-1-1