A centrifugal pump having an impeller diameter of 1 m is to be constructed so that it will supply a head rise of 240 m at a flowrate of 4.2 m3/s of water when operating at a speed of 1200 rpm. To study the characteristics of this pump, a 1/5 scale, geometrically similar model operated at the same speed is to be tested in the laboratory. Determine (a) the required model discharge and (b) head rise. Assume that both model and prototype operate with the same efficiency (and therefore the same flow coefficient).

Answers

Answer 1

The required model discharge is 21 m3/s and the head rise is 48 m.

Given parameters are as follows;

a) Impeller diameter, D = 1 mRequired head rise, H = 240 mWater flow rate, Q = 4.2 m3/sOperating speed, n = 1200 rpm

The similarity between the model and the prototype pump is 1/5 scale. The flow rates of model and prototype are similar. The velocity of the fluid in the model pump, V1 = V2 (Similarity principle). The diameter of the impeller of the model pump, D1 = 1/5 * 1 = 0.2 m

Velocity head in model pump, V12 / 2g = V22 / 2gPump head, h1 = H / 5 = 240/5 = 48 m

Head developed by the model pump, h2 = h1 = 48 m

b) Efficiency of both pumps is assumed to be the same (η1 = η2)

Flow coefficients of both pumps are assumed to be the same (φ1 = φ2)

Required model discharge (Q2)Q1 = Q2

hence, 4.2 = Q2 / 5Q2 = 4.2 × 5 = 21 m3/s

The head rise of the model pump is given as;

h2 = H1 / 5 = 240 / 5 = 48 m

Hence, the required model discharge is 21 m3/s and the head rise is 48 m.

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Related Questions

what does propilot assist with navi-link’s speed limit assist system do when in auto mode?

Answers

Propilot assist with navi-link's speed limit assist system works together to automatically adjust the vehicle's speed based on the posted speed limit and other traffic conditions.

When in auto mode, the system uses data from the navigation system to detect upcoming curves, exits, and interchanges, and adjusts the speed accordingly. Additionally, the speed limit assist system will provide an audible alert and display a visual warning on the instrument cluster if the vehicle exceeds the posted speed limit.

When the Speed Limit Assist system is engaged, the driver sets a desired speed, and the system will adjust the vehicle's speed to match the posted speed limit, up to the set speed. For example, if the driver sets the desired speed to 60 miles per hour and the posted speed limit is 55 miles per hour, the system will automatically adjust the vehicle's speed to 55 miles per hour.

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When a current carrying coil is placed between the magnetic poles a force acts on it that causes it to rotate what can be done to make the coil rotate faster

Answers

Answer:

increase the field strengthincrease the currentdecrease the moment of inertia of the coil

Explanation:

The rotation speed depends on the force applied to the coil, and on the mass (moment of inertia) of the coil. The force can be increased by ...

  increasing the magnetic field strength

  increasing the coil current

And the moment of inertia can be decreased by ...

  making the coil lighter

  making the coil more compact.

Any of these changes will increase the rotation speed.

Question 11

In a laboratory was analyzed several different water samples. Several analyzes were also performed on the same water. In analyses, there are various sources of error. One of these is called gross error. What applies to this category? One or more answers are correct.

A: if you take enough measurements, gross errors become normally distributed.
B: gross errors produce data that differ unreasonably from data from similar samples.
C: gross errors can be handled and quantified using confidence intervals.
D: gross errors produce the same error in each measurement, for example the read value may consistently be 5% higher than the true value

Answers

Gross errors produce data that differ unreasonably from data from similar samples and apply to the given category. The correct option is B.

What is the gross error?

Gross errors, often known as "outliers," are errors that are not systematic or random. They are inherently unpredictable and frequently huge.

Gross errors result from experimenter negligence or device malfunction. These “outliers” are typically ignored when analyzing data because they are far above or below the genuine value.

Therefore, the correct option is B: gross errors produce data that differ unreasonably from data from similar samples.

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All of these are part of the seat belt assembly EXCEPT the:
O latch plate
O D-ring
O retractor.
O cushion

Answers

Answer: Cushion
Explanation: All parts going together to form a seat belt except the cushion
The answer is the last one: cushion

Using your knowledge of metric units, English units, and the information on the back inside cover, write down the con- version factors needed to convert (a) mm to nm, (b) mg to kg, (c) km to ft, (d) in

Answers

To convert millimeters (mm) to nanometers (nm), we need to multiply by 1,000,000. This is because there are 1,000,000 nanometers in one millimeter. Therefore, the conversion factor is 1 mm = 1,000,000 nm.\

To convert milligrams (mg) to kilograms (kg), we need to divide by 1,000,000. This is because there are 1,000,000 milligrams in one kilogram. Therefore, the conversion factor is 1 mg = 0.000001 kg.To convert kilometers (km) to feet (ft), we need to multiply by 3280.84. This is because there are 3280.84 feet in one kilometer. Therefore, the conversion factor is 1 km = 3280.84 ft.To convert inches (in) to centimeters (cm), we need to multiply by 2.54. This is because there are 2.54 centimeters in one inch. Therefore, the conversion factor is 1 in = 2.54 cm.

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What is the meaning of beauty and completeness? In relation to these what are the attributes a Muslim should adopt?

Answers

ᴄᴏᴍᴘʟᴇᴛᴇɴᴇꜱꜱ ᴍᴇᴀɴꜱ ᴛʜᴇ ꜱᴛᴀᴛᴇ ᴏꜰ ʙᴇɪɴɢ ᴄᴏᴍᴘʟᴇᴛᴇ ᴀɴᴅ ᴇɴᴛɪʀᴇ; ʜᴀᴠɪɴɢ ᴇᴠᴇʀʏᴛʜɪɴɢ ᴛʜᴀᴛ ɪꜱ ɴᴇᴇᴅᴇᴅ.

ʙᴇᴀᴜᴛʏ ᴍᴇᴀɴꜱ combination of qualities, such as shape, colour, or form, that pleases the aesthetic senses, especially the sight.

When a bank deducts any amount other than a paid check from a depositor's account, it issues a form called a(n) ____________________ .

Answers

When a bank deducts any amount other than a paid check from a depositor's account, it issues a form called a withdrawal slip.

What form does a bank issue for deducting amounts other than paid checks from a depositor's account?

A withdrawal slip is a form provided by a bank to its account holders for the purpose of withdrawing funds from their accounts. It is used when a depositor wants to make a withdrawal of cash or transfer funds from their account to another party or account.

The withdrawal slip typically requires the account holder to provide their account information, such as their account number and the amount they wish to withdraw. It serves as a record of the transaction and is often used to reconcile the account balance. Withdrawal slips can be obtained at the bank's branch or sometimes through online banking services.

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design a randomized variant of binary search where in each iteration we compare the target with multiple middle elements chosen at random

Answers

Iterative implementation of Randomized Binary Search in Python based program.

# Python program to implement recursive

# randomized algorithm.

# To generate random number

# between x and y ie.. [x, y]

from random import randint

def getRandom(x, y):

   return randint(x,y)

# A iterative randomized binary search function.

# It returns location of x in

# given array arr[l..r] if present, otherwise -1

def randomizedBinarySearch(arr, l, r, x):

   while (l <= r):

       # Here we have defined middle as

       # random index between l and r ie.. [l, r]

       m = getRandom(l, r)

       # Check if x is present at mid

       if (arr[m] == x):

           return m

       # If x greater, ignore left half

       if (arr[m] < x):

           l = m + 1

       # If x is smaller, ignore right half

       else:

           r = m - 1

   # if we reach here, then element was

   # not present

   return -1

# Driver code

arr = [2, 3, 4, 10, 40]

n = len(arr)

x = 10

result = randomizedBinarySearch(arr, 0, n-1, x)

if result == 1:

   print("Element is not present in array")

else:

   print("Element is present at index", result)

Output:

Element is present at index 3

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​Boeing, Inc. is attempting to determine whether an existing
machine is capable of milling an engine part that has a design
specification of 5.0mm+- 0.10 mm. The standard deviation of the
process is

Answers

The goal of Boeing, Inc is to determine whether an existing machine can mill an engine part that has a design specification of 5.0mm +- 0.10 mm. The process has a standard deviation of σ = 0.02 mm.

Given that the standard deviation of the process is σ = 0.02 mm. Now, we need to determine if the existing machine can produce a part that meets the design specification using the given standard deviation (σ).The tolerance limit (T.L) can be calculated as;

T.L = (Upper Limit – Lower Limit) / 2 where;

Upper Limit = 5.0 + 0.10 = 5.10 mm

Lower Limit = 5.0 – 0.10 = 4.90 mm

T.L = (5.10 – 4.90) / 2 = 0.10 / 2 = 0.05 mm

The value of T.L = 0.05 mm

The process standard deviation (σ) = 0.02 mm

Using the formula;

P = 0.6827, approximately 68.27% of the parts produced by the existing machine fall within the tolerance limit (5.0 ± 0.10)

With a process standard deviation of σ = 0.02 mm and a tolerance limit of 0.05 mm, approximately 68.27% of the parts produced by the existing machine fall within the tolerance limit (5.0 ± 0.10). It can, therefore, be concluded that the existing machine can produce parts that meet the design specification.

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During which step of a free-radical chain-growth polymerization does the polymer actually grow or chain extend?.

Answers

During  propagation step of a free-radical chain-growth polymerization does the polymer actually grow or chain extend.

What is radical chain-growth polymerization?

The process of free-radical chain growth in polymers. Common free-radical reactions include polymerizations using free-radical mechanisms. The formation of radicals is the initiation, the development of the products is the propagation, and the ending of the free-radical chain reactions is the termination.

What distinguishes step growth polymerization from chain growth polymerization?

The polymer chain in chain growth always expands one monomer at a time. The polymer chain doubles with each step of step development. The polymer chain's rate of expansion is drastically different in these two situations as a result. Every coupling step causes chain growth, which causes the chain length to gradually expand.

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What energy transformation takes place when you turn on a light

Answers

Answer:

From electrical energy to radiation

Explanation:

A light bulb converts electrical energy to light, which is nothing more than radiation. Don't regard radiation as a bad thing, this light is non-iodizing radiation, which does not have the possibility to alter our DNA, and thus it's safe.

The simplest example can be found in old lights (obsolete now because they are vastly inefficient). This lights were just resistors which turned electrical energy into heat. A very hot material reflects light in the form of radiation, as described above.

Technologies like LEDs are more complicated to explain.

A rate of 0.42 minute per piece is set for a forging operation. The operator works on the job for a full eight-hour day and produces 1,500 pieces. Use a standard hour plan.

Required:
a. How many standard hours does the operator earn?
b. What is the operator's efficiency for the day?
c. If the base rate is 9.80 per hour, compute the earnings for the day.
d. What is the direct labor cost per piece at this efficiency?
e. What would be the proper piece rate (rate expressed in money) for this job, assuming that the above time standard is correct?

Answers

Answer:

b. What is the operator's efficiency for the day?

                                                      AND

e. What would be the proper piece rate (rate expressed in money) for this job, assuming that the above time standard is correct?

Explanation:

If a refrigeration system is operating with two evaporators (one medium temperature and one low temperature), there should be a(n) installed at the outlet of the low temperature evaporator and a(n) installed at the outlet of the medium temperature

Answers

Yes, if a refrigeration system is operating with two evaporators, one medium temperature and one low temperature, there should be a thermal expansion valve (TXV).

The TXV is necessary at the outlet of the low temperature evaporator because it helps to regulate the flow of refrigerant into the evaporator. The TXV also ensures that the refrigerant is properly metered and evaporated in the low temperature evaporator, which is essential for efficient operation of the refrigeration system.

On the other hand, the fixed orifice or capillary tube is installed at the outlet of the medium temperature evaporator to regulate the flow of refrigerant into the evaporator. This ensures that the refrigerant is properly metered and evaporated in the medium temperature evaporator, which is also essential for efficient operation of the refrigeration system.

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Merchandise without an expiration date like electronics, tools and home goods typically have a longer

Answers

Answer:

Shelf life.

Explanation:

In Business, an inventory is a term used to describe a list of finished goods, goods still in the production line and raw materials that would be used for the manufacturing of more goods in a bid to meet the unending consumer demands.

Simply stated, an inventory can be classified into three (3) main categories; finished goods, work in progress, and raw materials.

An inventory is recorded as a current asset on the balance sheet because it's primarily the most important source of revenue for a business entity.

Also, the three (3) main cost concept associated with an inventory are;

1. First In First Out (FIFO).

2. Last In First Out (LIFO).

3. Weighted average cost.

Shelf life can be defined as a measure of the length of time that a particular product could be kept or stored without it getting bad or becoming unsuitable for use by the consumers. Thus, the shelf life of a product is largely dependent on its expiration date.

Hence, merchandise without an expiration date like electronics, tools and home goods typically have a longer shelf life.

When the process is in control but does not meet specification which type of error is it?

Answers

When the process is in control but does not meet specification, it is referred to as a special cause error.

What is the term for a process in control but not meeting specification?

In statistical process control, a process is considered to be in control when it operates within the defined limits and shows only random variations. However, when a process is in control but does not meet the desired specifications, it indicates the presence of a special cause error.

Special cause errors are attributed to specific factors or events that cause the process to deviate from the expected outcome. These errors are typically unpredictable and require investigation and corrective action to bring the process back within the desired specifications.

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Protecting wiring is the key to keeping a system
in good condition. The integrity of the system is
critical to avoiding?

Answers

The integrity of this system is critical to avoiding electrocution.

What is electrocution?

Electrocution refers to a process through which a certain amount of electric current (electricity) flows through the body of a living organism, thereby, causing death or leading to severe injury.

According to the occupational safety and health administration (OSHA), it is very important to protect wiring because it's the key to keeping an electrical system in good condition.

This ultimately implies that, the integrity of this system is critical to avoiding electrocution.

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69.48 / 7.2 = 965 use number sense

Answers

Answer: See explanation

Explanation:

69.48 / 7.2 = 965 as written in the question isn't correct. The correct answer should have been:

69.48 / 7.2 = 9.65

It should be noted that when we divide, the answer that one gets cannot be more than the two numbers that were used for the division. Hence, there's no way that 965 would be more than 69.48 and 7.2.

the goodyear blimp is filled with nearly 203,000 cubic feet of what gas?

Answers

The speed of the blimp in still air is calculated using the relationship between velocity, distance, and time to be 35 mph.

Nearly 203,000 cubic feet of helium gas are within the Goodyear Blimp. An ideal gas is thought to be the helium inside the Goodyear blimp. For an ideal gas, which is a fair assumption for the noble gases, the ideal gas law correlates the pressure, volume, number of moles, and temperature to one another. In this situation, the ideal gas law, often known as an equation of state, governs all gases: The universal (or perfect) gas constant, 8.3144626 joules per kelvin per mole, and the number of moles of the gas, n, are both inputs into the equation PV = nRT.

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What is IT or maybe called computer applications technology and what is mechatronics engineering

Answers

IT or Computer Applications Technology (CAT) is a field that involves using technology to solve problems and improve processes. This is done through the development, implementation, and management of software, hardware, and networking systems.
IT professionals work in a variety of industries, including healthcare, finance, education, and government, to name a few. They may work as programmers, network administrators, database administrators, IT project managers, cybersecurity specialists, or other IT-related positions.
Mechatronics Engineering, on the other hand, is a multidisciplinary field that involves the integration of mechanical, electrical, and computer engineering to design and develop advanced systems. This includes robotics, automation, and intelligent systems.

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The map of the points and polygons of a model laid out in a 2-dimensional space is:
a tile
a UV map
a bitmap
a topography

Answers

the answer is : UV Map

How long does it take to complete Fort nite: Save The World?

How long does it take to complete Fort nite: Save The World?

Answers

Answer:

Over 8 straight days of playing

Explanation:

200+ hours, if you're a game master

It takes long so a whole week if you stay focused

What is "Engineering"?

Answers

Engineering is when both the application of science and math are used to solve problems. An engineer is a person who designs, builds, or maintains engines, machines, or public works. There are six large branches of engineering such as Mechanical, Chemical, Civil, Electrical, Management, and Geotechnical, they all have hundreds of subcategories of engineering under each different branch.

Which of the following applications could be used to run a website from a server? a. Hypertext Transfer Protocol b. FileZilla c. Microsoft Exchange Server d. Ngnix​

Answers

A software application that could be used to run a website from a server is: d. Ngnix​.

What is a server?

A server can be defined as a specialized computer system that is typically designed and configured to store and provide specific remote services for its clients (end users), especially on a request basis.

Types of server.

In Computer and Technology, there are different types of server and these include:

Print serverProxy serverApplication serverFile serverWeb server

Ngnix​ refers to a web server that is designed and developed on the 4th October, 2004, in order to avail its clients (end users) to run a website from a server for maximum performance and stability.

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A 250KVA 11000volts /50kHz single phase transformer has 80 turns on the secondary. Calculate:
A) approximate values of the primary and secondary currents
B)approximate number of primary turns
C) the maximum value of the flux

Answers

Student question: A 250KVA 11000 volts /50kHz single phase transformer has 80 turns on the secondary. Calculate: B) approximate number of primary turns C) the maximum value of the flux in 200 words


B) To find the approximate number of primary turns, we can use the transformer turns ratio formula:
Turns ratio = Primary turns / Secondary turns = Primary voltage / Secondary voltage

First, we need to calculate the secondary voltage. We can use the power formula:
Power = Voltage × Current
250 KVA = 11000 V × I
I = 250,000 VA / 11,000 V = 22.73 A

Now, we can find the secondary voltage:
Secondary voltage = Power / Current = 250,000 VA / 22.73 A = 11,000 V

Now, we can calculate the turns ratio:
Turns ratio = 11,000 V / 11,000 V = 1

Therefore, the approximate number of primary turns is:
Primary turns = Turns ratio × Secondary turns = 1 × 80 = 80 turns

C) To calculate the maximum value of the flux, we use the formula:
Flux = Voltage / (Frequency × Turns)

Since the frequency is given in kHz, we need to convert it to Hz:
50 kHz = 50,000 Hz

Now, we can find the maximum value of the flux:
Flux = 11,000 V / (50,000 Hz × 80 turns) = 0.00275 Wb

So, the maximum value of the flux in the transformer is approximately 0.00275 Weber (Wb).

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The purification of hydrogen gas is possible by diffusion through a thin palladium sheet. Calculate the number of kilograms of hydrogen that pass per hour (in kg/h) through a 4.0-mm thick sheet of palladium having an area of 0.25 m^2 at 500°C. Assume a diffusion coefficient of 6.0 x 10^-8 m^2/s, that the concentrations at the high- and low-pressure sides of the plate are 3.5 and 0.25 kg/m^3 (kilogram of hydrogen per cubic meter of palladium), and that steady-state conditions have been attained. (clearly show your solution step by step, pay attention to units otherwise you will lose points!)

Answers

Man I don't have a clue, but this stuff sounds interesting

A triangular plate with a base 5 ft and altitude 3 ft is submerged vertically in water. If the base is in the surface of water, find the force against onr side of the plate. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 lb/ft3.)

Answers

Answer:

Hydrostatic force = 41168 N

Explanation:

Complete question

A triangular plate with a base 5 ft and altitude 3 ft is submerged vertically in water  so that the top is 4 ft below the surface. If the base is in the surface of water, find the force against onr side of the plate. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 lb/ft3.)

Let "x" be the side length submerged in water.

Then

w(x)/base = (4+3-x)/altitude

w(x)/5 = (4+3-x)/3

w(x) = 5* (7-x)/3

Hydrostatic force = 62.5 integration of  x * 4 * (10-x)/3 with limits from 4 to 7

HF = integration of 40x - 4x^2/3

HF = 20x^2 - 4x^3/9 with limit 4 to 7

HF = (20*7^2 - 4*7^(3/9))- (20*4^2 - 4*4^(3/9))

HF = 658.69 N *62.5 = 41168 N

Compressional force/stress lead to the formation of which fault type?

options

Transformational.

Strike Slip.

Normal.

Reverse

Answers

Compressional force/stress leads to the formation of Reverse fault type.What are faults?A fault is a crack or a fracture in the earth's crust in which rock formations can move past each other.

The friction and pressure between the plates generate compressional forces/stress, which compress or shorten the rock bodies until they crack or deform and create faults.When rock formations move past each other, this results in deformation. Compression forces lead to rocks shortening and thickening, which can lead to folds or faults in rock formations. On the other hand, tension forces lead to rock stretching, thinning, and forming normal faults. Shearing forces create strike-slip faults. Compressional forces generate reverse faults.Reverse faults occur when two rock formations move towards each other and compress each other, causing one rock body to slide upwards on another, resulting in a steeply inclined fault plane with the hanging wall moving upward relative to the footwall.

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Find the time constant for the following problem (assume the wheel does not slip and pulley has inertia Jp, and radius Rp). assume that the wheel has inertia Jw, mass Mw, and radius Rw.

Answers

Using the equation T = R*C in seconds, the time constant,, may be calculated.

We calculate time constant for what reasons?

A resistor-capacitor circuit's time constant is crucial since it shows the rate of growth or decay. A low value for the time constant of an RC circuit denotes a rapid growth or decay rate for the circuit.

How can we compute the time constant and what is it?

This transient response time T is expressed in terms of = R x C, where R is the resistor's value in ohms and C is the capacitor's value in farads.

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potential difference is the work done in moving a unit positive charge from one point to another in an electric field. State True/False.

Answers

Answer:

True

Explanation:

Because the Electric Magnetic Field is the work done per unit charge where other forms of energy is tranferred to electrical energy

In an ideal Brayton cycle, air is compressed from 95 kPa and 25 0C to 1100 kPa. Under coldair-standard conditions, the thermal efficiency of this cycle is

Answers

The thermal efficiency of the Brayton cycle in the cold air standard of 25° C is 45.60 %. The correct option is A.

What is a Brayton cycle?

A Brayton cycle is the thermodynamic cycle used in the heat engine. The process has been comprised of the events as:

Compressing airMixing air with fuelIgnitionExpansion Work done

The given conditions in the Brayton cycle are:

Inlet Temperature (T₁) = 25° C

Inlet pressure (P₁) = 95 kPa

Outlet pressure (P₂) = 1100 kPa

The efficiency of the cycle (η) can be calculated as:

\(\eta = 1 - \dfrac {1}{\frac{P_2}{P_1}^{(\gamma-1)(\gamma)}}\)

γ is the specific heat ratio and is 1.4.

Substituting the values in the equation of efficiency:

\(\eta = 1 - \dfrac {1}{\frac{1100}{95}^{(1.4-1)(1.4)}}\\\eta = 1 - \dfrac {1}{8.421^{(\gamma-1)(\gamma)}}\\\\\eta = 45.60 \%\)

The efficiency of the Brayton cycle in the thermal conditions is 45.60%. The correct option is A.

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

In an ideal Brayton cycle, air is compressed from 95 kPa and 25°C to 800 kPa. Under cold air standard conditions, the thermal efficiency of this cycle is:

(a) 46%

(b) 54%

(c) 57%

(d) 39%

(e) 61 %

Other Questions
what is the primary purpose of tort law?a. punish wrongdoersb. compensate victims for their lossesc. support society by fining wrongdoersd. create precedent in the common law !!please, please help me!!Find the length of the base and the height of the parallelogram shown below.What is the area of the parallelogram? Please explain how you got your answer. based on the given key, identify each chord by the scale-degree of its root Income Statement with Variances Alvarado Company produces a product that requires 3.0 standard pounds per unit at a standard price of $6.00 per pound. The company used 23,900 pounds to produce 8,000 units, which were purchased at $6.20 per pound. Each unit requires 7.5 standard direct labor hours per unit at a standard hourly rate of $22.50 per hour. For the 8,000 units produced, 60,200 hours were needed and employees were paid an hourly rate of $21.95 per hour. The company uses a standard variable overhead cost per unit of $1.45 per direct labor hour. Actual variable factory overhead was $85,900. The company uses a standard fixed overhead cost per unit of $2.00 per direct labor hour at 55,000 hours, which is 100% of normal capacity. Prepare an income statement through gross profit for Alvarado Company for the month ended March 31. Assume Alvarado sold 8,000 units at $250 per unit. For those boxes in which you must enter subtractive or negative numbers use a minus sign. If an amount box does not require an entry, leave it blank. Alvarado Company Income Statement Through Gross Profit For the Month Ended March 31 The cost of a jacket increased from $85.00 to $102.00. What is the percentage increase of the cost of the jacket? A. 17% B. 2% C. 80% D. 20% does anyone no how to screen record on a dell computer (03.03 LC)Write the equation of the graph shown below in factored form.Of(x) = (x-3)^2(x + 2)(x - 1)Of(x) = (x + 3)^2(x-2)(x + 1)Of(x) = (x + 3)^2(x + 2)(x + 1)Of(x)=(x-3)^2(x-2)(x - 1) Point K is on line segment JL. Given JK=2x, KL=x+3, and JL=4x, determine the numerical length of KL an implicit equation for the plane passing through the point (3,4,4) that is perpendicular to the line l(t)=54t,5 5t,42t is Matthew has to write a short research paper on golf, but he needs to narrow his topic. Which would be the BEST topic because it narrows his research to one area of golf?ResponsesA the most famous golfers throughout historythe most famous golfers throughout historyB the history of the game of golfthe history of the game of golfC how to properly use all of the golf clubshow to properly use all of the golf clubsD how to be polite on the golf course b. Look at the vector G below.Answer both of the questions pleaseee. 40 points!!!!!! And dont try to steal them bc you will f regret it. 40 points!!!!! based on all sources which of the following events happened first? what's filtration media to use and Innovative Marine Lagoon 25 gallon nano reef www.nano-reef 1. (-78) + (-98) =2. (+45) + (+23) =3. (+67) + (-56) =4. (98) + (-73) =5. (-971) + (+237) = The United States is in the top 100 countries when it comes to births per 1,000 people.TrueFalse Please please ASAP help me ..Will mark BrilliantestAlex poured some pond water into three beakers. She then put waterweed into each beaker. She put the beakers in different places.b. In the school pond there were lots of water lilies with large leaves covering the surface. There were not many plants growing below the surface. Suggest a reason for this. A photon is emitted when a hydrogen atom undergoes a transition from the n=5 state to the n=3 state. Calculate (b) the wavelength. Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.P(A) = 0.45P(B) = 0.35P(C) = 0.25What is the probability of the complement of Event A?1.000.100.450.55 which of the following questions are part of the five steps in stakeholder impact analysis? multiple select question. who are our stakeholders? how can we gain maximum competitive advantage without taking our stakeholders into account? what are our stakeholders' interests and claims? which stakeholders have little to no power over us? what opportunities and threats do our stakeholders present? Julian is trying to decide on a future career. He has narrowed down his choices to orthodontist, sound engineering technician, police officer, or editor. The following table represents the total employment numbers for 2006 and projected employment numbers for 2016. Orthodontist Sound engineer technician Police officer Editor 2006 9,206 16,125 648,982 122,273 2016 10,214 17,864 719,041 124,135 Which profession is projected to have the greatest percent of increase in the number of jobs from 2006 to 2016? a. Orthodontist b. Sound engineer technician c. Police officer d. Editor.