a. Calculate the fractional change in volume of a fixed mass of seawater as it moves from the surface of the ocean to a depth of 1500 m.
b. Calculate the fractional change in density of a fixed mass of air as it moves isothermally from the bottom to the top of the Empire State Building (a height of 350 m, equivalent to a change in pressure of about 4100 P a).
c. Compare the results from part a and part b and discuss the nature of the fluid medium. (2 pts)

Answers

Answer 1

Answer:

a) 0.645%

b) 4.046%

c) Seawater is highly incompressible and the air is much more compressible

Explanation:

a)

First we take a look at BULK MODULUS;

change in pressure is expressed as;

dp = -K(dV/V)

bulk modulus K = 2.28*10^9 N/m^2 for seawater

now one atm is given as;

1 atm = 101325 N/m^2

by conversion factor,

1 atm = 10.3m equivalent in height of water

now writing this pressure in terms of equivalent height of water at 1500m

we say;

dp = 1500/10.3 * 101325 N/m^2  

now substituting into dp = -K(dV/V)

dV/V = - dp/K

= - ( 1500/10.3 * 101325 N/m^2  ) / (2.28*10^9 N/m^2)

=  - (14756067.96 / 2.28*10^9)

= - (0.00647)

= - 0.645%

the fractional change in volume of fixed mass of seawater is 0.645%, the negative sign indicates the decrease in the change in volume.

b)

Lets look at the ideal gas equation

pV = mRT

P = pRT

now we know that T and T are constant

dP = RTdp

so

dP/P = dp/p

given that the equivalent change in the pressure is 4100 Pa;

dp/p = 4100 / 101325

= 0.04046

= 4.046%

the fractional change in density of a fixed mass of air is 4.046%

c)

Taking a close look of the fractional change in volume of seawater in partA and the fractional change in density of a fixed mass of air in partB, we can say that Seawater is highly incompressible and the air is much more compressible.


Related Questions

torque is group of answer choices A. a quantity that causes angular acceleration B. a quantity that causes tangential acceleration

Answers

The correct answer is A. Torque is a quantity that causes angular acceleration.

Torque is defined as the rotational equivalent of force. It is the measure of the tendency of a force to rotate an object about an axis or pivot point. When a force is applied to an object at a distance from the axis of rotation, it creates a torque that tends to cause the object to rotate.

Torque is calculated by multiplying the force applied to an object by the perpendicular distance from the axis of rotation to the line of action of the force. Mathematically, torque (τ) is represented as τ = r × F, where r is the lever arm (distance from the axis of rotation to the point of force application) and F is the applied force.

Since torque is responsible for causing angular acceleration, it is the quantity that influences rotational motion and changes the rate of rotation of an object. Tangential acceleration, on the other hand, is related to linear motion and describes the change in linear velocity.

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What project is this ?

What project is this ?

Answers

Answer:

a building project...

Explanation:

The device shown below contains 2 kg of water. The cylinder is allowed to fall 800 m during which the temperature of the water increases by 2.4°C. Some amount of water is added to the container and the experiment is repeated. All other values remain constant. This time the temperature of the water increases by 1.2°C. How much water was added to the container?

Answers

Answer:

m_added = 2 kg

Explanation:

From the question, we are told that the cylinder is allowed to fall 800 m in height. Thus, the potential energy will be converted into heat energy which will increase the temperature of water .

Now, let the mass of the falling cylinder be denoted by "m1" and let h be the height of fall.

Thus;

Formula for potential energy = mgh

Thus, as said earlier it's converted to heat generated. So heat generated = m1gh

Now let's calculate the heat absorbed;

heat absorbed = (m2)cΔt

Where;

ΔT is change in temperature

c is specific heat of water .

m2 is mass of water

Heat absorbed = heat generated

Thus;

(m2)cΔt = m1gh

Δt = m1gh/(m2•c)

Now, in both cases of the water and cylinder, m1, g , h and c are constant

Thus, we have;

Δt = (m1gh/m2) × 1/c

Where;

(m1gh/m2) is denoted as a constant k.

Thus;

Δt = K/m

For the first experiment, we have;

m = 2 kg

Δt = 2.4

Thus;

2.4 = K/2

Multiply both sides by 2 to get;

K = 4.8

For the second experiment, we have;

Δt = 1.2

Also,we have seen that K = 4.8

Thus;

Δt = K/m

Thus;

1.2 = 4.8/m

m = 1.2

m = 4 kg

Thus,mass added is;

m_added = 4 - 2

m_added = 2 kg

1 british gallon = .....litres.
a:4.546
b:3.785
c.5.456
d.7.385​

Answers

Answer:

c

Explanation:

I live in britian

Three rolling cylinders are connected with a pure rolling contact with a speed ratio of 3 in cylinder 1 and 2, if the center distance of the cylinder 1&2 and cylinder 2&3 are 16inches & 18 respectively. Calculate the diameter and mm of each cylinder. If the velocity is 20m/s.

Answers

Yes because I have to do the math test and then I go back up and

Cold water at 20 degrees C and 5000 kg/hr is to be heated by hot water supplied at 80 degrees C and 10,000 kg/hr. You select from a manufacturer's catalog a shell-and-tube heat exchanger (one shell with two tube passes) having a UA value of 11,600 W/K. Determine the hot water outlet temperature.

Answers

Answer:

59°C

Explanation:

Given that, Cc = McCp,c = 5000 /3600 × 4178 = 5803.2(W/K)

and Ch = MhCp,h = 10000 / 3600 × 4188 = 11634.3(W/K)

Therefore the minimum and maximum heat capacities are:

Cmin = Cc = 5803.2(W/K)

Cmax = Ch = 11634.3(W/K)

The capacity ratio is:

Cr = Cmin / Cmax = 0.499 = 0.5

The maximum possible heat transfer rate is:

Qmax = Cmin (Th,i - Tc,i) = 5803.2 (80 - 20) = 348192(W)

And the number of transfer units is: NTU = UA / Cmin = 11600 / 5803.2 = 1.99

Given that from the appropriate graph in the handouts we can read  = 0.7. So the actual heat transfer rate is: Qact = Qmax = 0.7 × 348192 = 243734.4(W)

Hence, the outlet hot temperature is: Th,o = Th,i - Qact / Ch = 59°C

What grade did the american society of civil engineering give to the us infrastructure in 2013?.

Answers

The American society of civil engineering give us infrastructure in 2013 A grade of D

The overall score for America's infrastructure in all 16 categories is D+ in the 2013 Report Card, which is slightly higher than the D in ASCE's 2009 Report Card.

Six infrastructure sectors profited through increased private sector investment, focused initiatives in municipalities and states to perform renovations or repairs, or a one-time boost in government money.

Importantly, it is the first time the grades have increased since the American Society of Civil Engineers initially rated the quality of America's network in 1998. Nevertheless, a D+ rating remains unacceptable.

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A set of experiments is run on an op amp that is ideal except for having a finite gain A. The results are tabulated below. Are the results consistent? If not, are they reason-able, in view of the possibility of experimental error? What do they show the gain to be? Using this value, predict values I of the measurements that were accidentally omitted (the blank entries).Experiment # v1 v2 vo 1 0.00 0.00 0.00 2 1.00 1.00 1.00 3 1.00 1.00 4 1.00 1.10 10.1 5 2.01 2.00 -0.99 6 1.99 2.00 1.00 7 5.10 -5.10

Answers

Answer:

i)The results are consistent at ; Rows ( 1,2,4,6 ), which simply means that it is fairly consistent and makes sense

ii) Row 5 shows a gain of -99 which is ≈ -100 and there is a possibility of experimental error of (1%)

ii ) The omitted values are : row 3 = 0.99, Row 7 = 5.049

Explanation:

To calculate/determine the missing/omitted values we have to apply this formula:

Vo = ( V1 - V2 ) G

Vo = output = 1

G = gain = - 100

V1 =

we find  V1 along line 3 ( row 3 )

(V1 - V2) G = 1

( V1 - 1 ) * -100 = 1

hence V1 = 0.99

we find V2 along row 7

( V1 - V2 ) G = 1

( 5.10 - V2 ) * -100 = 1

hence V2 = 5.049

1. The weld bead in SMAW is formed by the
a. electrode wire core alone
b. base metal mixing with the flux
c. flux coating
d. electrode wire core mixing with molten base metal

Answers

Answer:

a. electrode wire core alone

If the circuit current is 3 A, what is the value of R3?

72 volts
R1= 36Ω
R2= 50 Ω
R3=?

If the circuit current is 3 A, what is the value of R3?72 voltsR1= 36R2= 50 R3=?

Answers

Answer:

22 Ω

Explanation:

0) to re=write the given schema;

1) to write common equation of U[V];

2) to calculate the value of the current I₁ [A];

3) to write the common equation of current I [A];

4) to calculate the value of the current I₂₃ [A];

5) to calculate the value of R₃ [Ω] using the common equation of U.

If the circuit current is 3 A, what is the value of R3?72 voltsR1= 36R2= 50 R3=?

the enormous gains in crop yields brought about by green revolution technologies may soon stop. hypothesize why.
a. true
b. false

Answers

The statement "the enormous gains in crop yields brought about by green revolution technologies may soon stop" is definitely true.

What is the Green revolution?

The green revolution may be defined as a type of revolution in which there would be a great increase in the production of food grains (such as rice and wheat) due to the introduction of high-yielding varieties, the use of pesticides, and better management techniques.

It started around the 1960s and helped in increasing food production in the country. The green revolution's primary aim was to introduce high-yielding varieties (HYVs) of cereals to alleviate poverty and malnutrition. They soon stop because they are not much efficient as pear present needs and conditions.

Therefore, the statement "the enormous gains in crop yields brought about by green revolution technologies may soon stop" is definitely true.

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what is the purpose of the fast fourier transform? a. it allows you to look at the trajectory of the device. b. it allows you to fit the plot with a trendline. c. it takes the signal from the position domain and represents it in the frequency domain instead. d. it allows you to plot the velocity v. the position instead of velocity v. time.

Answers

The purpose of the fast Fourier transform is it takes the signal from the position domain and represents it in the frequency domain instead, and it allows you to plot the velocity. The correct options are c and d.

What is the fast Fourier transform?

FFT stands for "Fast Fourier Transform," which is an important measurement method. In the process, it dissects a signal into its individual spectral components and provides frequency information about the signal.

The output of the FFT is a complex vector that includes information about the signal's frequency content. The magnitude reflects the relative strength of the frequency components in comparison to other components.

Therefore, the correct options are c and d.

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Which of the following are the steps for the Gram Stain procedure, in order?
A) Place the bacterial sample on a slide, add crystal violet, add iodine, add decolorizer, add safranin.
B) Place the bacterial sample on a slide, add iodine, add crystal violet, add decolorizer, add safranin.
C) Place the bacterial sample on a slide, add crystal violet, add safranin, add decolorizer, add iodine.
D) Place the bacterial sample on a slide, add safranin, add decolorizer, add iodine, add crystal violet.
E) Place the bacterial sample on a slide, add decolorizer, crystal violet, add safranin, add iodine.

Answers

The steps for the Gram Stain procedure, in order, is (B) Place the bacterial sample on a slide, add crystal violet, add iodine, add decolorizer, add safranin.

The Gram Stain is a common laboratory technique used to differentiate bacteria into Gram-positive and Gram-negative groups based on their cell wall structure. This is the standard order of the Gram Stain procedure, which involves staining bacterial cells with crystal violet, applying iodine to form a complex with the crystal violet, decolorizing with alcohol or acetone, and then counterstaining with safranin to visualize the cells.

Correct answer is option B.

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Starting in 2019, what is the leak rate threshold for commercial refrigeration equipment with a full charge of 50 or more pounds of an HCFC refrigerant?

Answers

Starting in 2019, the leak rate threshold for commercial refrigeration equipment with a full charge of 50 or more pounds of an HCFC refrigerant is 30%. This means that if the equipment leaks 30% or more of its total charge in a year, it is considered to be leaking and must be repaired.

This new leak rate threshold was established by the U.S. Environmental Protection Agency (EPA) under the Clean Air Act's Section 608, which sets standards for the handling of refrigerants. The EPA's goal is to reduce the emission of ozone-depleting substances, including HCFC refrigerants, which contribute to climate change and harm the environment.

To comply with the new leak rate threshold, owners and operators of commercial refrigeration equipment must conduct regular leak inspections and promptly repair any leaks that are detected. They must also keep records of their inspections and repairs for at least three years. Failure to comply with these requirements can result in penalties and fines.

In summary, the leak rate threshold for commercial refrigeration equipment with a full charge of 50 or more pounds of an HCFC refrigerant is 30% starting in 2019. Owners and operators of such equipment must conduct regular leak inspections and promptly repair any leaks to comply with EPA regulations.

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One kmole of gas mixture at a total pressure of 250 kPa and 303 K contains 10% CH4, 30% C2H6, and 60% H2 by volume. The absolute velocities of each species are -10 m/s, -5 m/s, and 15 m/s, respectively, all in the direction of the zaxis. a. Determine the molar average velocity, Umol for the mixture. 6.5 m/s b. Evaluate the four fluxes: JCH4-mol, NCH4-mol

Answers

Answer:

hi its very easy to say tgat i know this answer very so my friend please give me free points bro

A_____AH mean that the energy i____from a reaction taken deleted aborbed poitive negative

Answers

The increase in energy from a reaction that was taken, deleted, aborted, positive, or negative is indicated by the change in enthalpy.

The quantitative characteristic that is transferred to a body or to a physical system in physics is energy, which is visible in the performance of labor as well as in the form of heat and light. Energy is a resource that is conserved; it can only be changed from one form to another and cannot be created or destroyed, according to the law of conservation of energy. The unit of measurement for energy in the International System of Units is the joule. Common types of energy include the kinetic energy of an object in motion, the potential energy held by an object, the elastic energy held in a solid object, the chemical energy related to chemical reactions, the radiant energy carried by electromagnetic radiation, and the internal energy held within a thermodynamic system.

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How should backing plates, struts, levers, and other metal brake parts be cleaned?

Answers

Answer: Cleaning of mechanical parts is necessary to remove contaminants, and to avoid clogging of wastes which could restrict the functioning of the machine.

Explanation:

There are different agents used for cleaning different machine instruments to prevent their corrosion and experience proper cleaning.

Backing plates must be dry cleaned using a cotton cloth to remove the dirt, dust or any other dry contaminant.

Struts can be wet cleaned by applying alcoholic solvent.

Levers can be cleaned using a mineral spirit.

Metallic plates can be cleaned using water based solution or water.

The pacific ocean surrounded by extremely high earthquake and volcanic activity the Atlantic ocean by contrast has little activity of this nature based on the Maps what attributes of the Atlantic ocean make it likely for earthquakes to occur or volcanoes to form

Answers

Answer: There are no major convergent boundaries in the Atlantic, which is where these events are more likely to occur

Explanation:

determine the required size of standard schedule 40 steel pipe to carry 192 m3/hour of water with a minimum velocity of 6.0m/sec

Answers

Answer:

Explanation:

To determine the required size of standard schedule 40 steel pipe to carry 192 m³/hour of water with a minimum velocity of 6.0 m/sec, we can use the following formula:

Q = A × v

where Q is the volumetric flow rate of water, A is the cross-sectional area of the pipe, and v is the velocity of water.

First, we need to convert the volumetric flow rate from m³/hour to m³/sec.

192 m³/hour = 0.0533 m³/sec

Next, we can rearrange the formula to solve for the cross-sectional area:

A = Q / v

A = 0.0533 m³/sec / 6.0 m/sec

A = 0.0089 m²

The cross-sectional area of the pipe is 0.0089 m².

Standard schedule 40 steel pipe has a nominal inside diameter (ID) of 1.049 inches, which is approximately 0.0266 meters. The cross-sectional area of the pipe can be calculated using the formula for the area of a circle:

A = π × (ID/2)²

A = 3.14 × (0.0266/2)²

A = 5.58×10^-4 m²

To determine the required size of the pipe, we can rearrange the formula for the area of a circle to solve for the diameter:

ID = 2 × √(A/π)

ID = 2 × √(0.0089/π)

ID = 0.106 meters

Therefore, the required size of standard schedule 40 steel pipe to carry 192 m³/hour of water with a minimum velocity of 6.0 m/sec is a nominal size of 4 inches, with an inside diameter of 0.102 meters (or 102 millimeters).

Consider an FSM with 1024 states and a 2-bit input (00, 01, 10, 11). How many flip-flops will you need to construct the FSM

Answers

Answer:

468

Explanation:

The hard drive (HDD) you are installing in a pc is the boot drive with the operating system on it. you want to make sure that the bios recognize this hdd as the boot drive without the need to configure it as the boot drive in bios. which of the following should you do to make sure the hdd is recognized as the boot drive automatically?
a. Verify that the power supply and SATA cables can reach the HDD.
b. Connect the HDD to the lowest numbered SATA connector on the motherboard.
c. The HDD needs to be partitioned and formatted with a file system.

Answers

Installing the operating system on the HDD and making sure that the partition on the HDD is identified as "active" are the best ways to guarantee that the HDD is immediately recognised as the boot drive.

Why is Windows unable to identify my HDD in BIOS?

Why Does My Hard Disk Appear in the BIOS But Not Windows. Most causes would result in this mistake. The operating system's driver is probably incompatible with the drive if it is identified in the BIOS but not in the OS. Moreover, it's conceivable for one drive to support AHCI while the other only supports traditional IDE.

What will you do if an HDD is not found when installing the OS?

In the BIOS, look at the Hard Disk. If not, spend some time checking the BIOS to see if the hard drive is detected, especially if you're installing an operating system from a bootable USB drive or CD/DVD disc. You may access BIOS settings by holding down F2 while pressing. Check to see if the hard drive appears there.

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What invention of the Middle Ages contributed to making books easily available?

Answers

Ans: Printing press


The invention of the Middle Ages which contributed to making books easily available was the Printing press.

For an electrical system, short dashed lines indicate?​

Answers

A solid line around a component indicates that the component is complete. A dashed line around the component indicates that the component is being shown is not complete.

A trucking company owns two types of trucks. Type \( A \) has 40 cubic metres of retrigerated space and 10 cublio metres of non-retrigerated space. Type B has 10 cubic metres of retrigerated space and

Answers

The trucking company owns two types of trucks: Type A and Type B. In summary, Type A trucks have both refrigerated and non-refrigerated space, while Type B trucks only have refrigerated space.  

Type A trucks have 40 cubic meters of refrigerated space and 10 cubic meters of non-refrigerated space. This means that these trucks can transport perishable goods that require temperature control in the refrigerated space, while also having additional space for non-perishable items that do not require refrigeration.

Type B trucks have 10 cubic meters of refrigerated space. These trucks are designed specifically for transporting perishable goods that require temperature control. For instance, they can be used to transport frozen foods, dairy products, or any other goods that need to be kept at a specific temperature to prevent spoilage.

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What Is Soil Tunneling?​

Answers

Answer:

A tunnel built in soft ground—such as clay, silt, sand, gravel or mud—requires specialized techniques compared to hard rock, to compensate for the shifting nature of the soil.

It's from web...

Soft ground tunneling describes the additional measures needed when Microtunneling through soil conditions that are vulnerable to collapse. ... This process ensures tunneling can happen effectively in soft grounds.

It's from me...

Andrew invests £2500 in an account for 4 years at 2. 4% compound interest per year.


At the end of the 4 years, a deduction of 30% of the total interest is made from the account. Work out the amount in the account at the end of the 4 years, after the deduction has been made

Answers

The amount in the account at the end of 4 years, after the deduction has been made, is £2668.

To calculate the amount in the account at the end of 4 years after the deduction, we need to consider compound interest and the deduction. Using the compound interest formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years, we can calculate the total amount after 4 years. Then, we apply the deduction of 30% to the total interest earned. However, the specific values for the interest rate compounding frequency and the calculation of the deduction need to be provided to calculate the final amount accurately.

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Insertion sort can be expressed as a recursive procedure as follows. In order to sort A[1…n], we recursively sort A[1…n−1] and then insert A[n] into the sorted array A[
1


n−1

]. Write a recurrence (T(n) as a function of input size n) for the running time of this recursive version of insertion sort.

Answers

In computer science, the recurrence relation is used to calculate the time complexity of a recursive function. Here, we are to write a recurrence relation for the running time of the recursive version of Insertion sort.

Insertion sort can be expressed as a recursive procedure as follows:In order to sort A[1…n], we recursively sort A[1…n−1] and then insert A[n] into the sorted array A[n−1].Algorithm to insert A[n] into the sorted array A[1..n-1]:1. Recursive call to sort A[1..n-1].2. Put the last element in the correct position by shifting the array. Let's denote the time taken by the function as T(n).The worst-case scenario happens when the input array is sorted in decreasing order. In this case, each time we enter the loop and slide an element to the right, we must compare it to each element in the sorted sub-array. Therefore, the time complexity of the insertion sort algorithm in the worst-case is O(n2). The recurrence relation for the running time of the recursive version of insertion sort is given by:T(n) = T(n-1) + nwhere n is the input size, T(n-1) represents the time taken by the function to sort n-1 elements, and n is the time taken to sort n elements.The base case for this recurrence is when there is only one element, i.e., T(1) = 1.The time complexity of insertion sort can be determined using the recurrence relation. So, T(n) is given by:T(n) = T(n-1) + n= T(n-2) + (n-1) + n= T(n-3) + (n-2) + (n-1) + n= ........= T(1) + 2 + 3 + ... + (n-1) + n= n(n+1)/2= O(n2)In conclusion, we can say that the time complexity of the recursive version of insertion sort is O(n2).

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For an n-type semiconductor, where is the Fermi level located? In the valence band. Just above the valence band in the band gap. In the middle of the band gap. Just below the conduction band in the band gap. In the conduction band.

Answers

In an n type semiconductor, the Fer mi level is located just below the conduction band in the band gap.

The  n type semiconductor

In an n type semiconductor, the Fe rmi level refers to the energy level within the material that represents the highest probability of finding an electron. The Fer mi level plays a crucial role in determining the electrical behavior of the semiconductor.

In an n type semiconductor, the material is made with impurities that introduce additional electrons into the crystal lat tice, creating an excess of negatively charged carriers (electrons).

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Fast fourier transforms (FFT) are algorithms that speed up the computation of fourier coefficients compared to the traditional direct form discuss how the speed up is achieved

Answers

Answer:

Fast Fourier ( FFT ) algorithms speed up computation of Fourier coefficients by simply reducing the the computing time of a traditional direct form  Fourier series. it  achieves this by breaking complex DFTS into smaller DFTS to reduce its complexity and in turn reduce its computing time

Explanation:

Fast Fourier ( FFT ) algorithms speed up computation of Fourier coefficients by simply reducing the the computing time of a traditional direct form  Fourier series. it  achieves this by breaking complex DFTS into smaller DFTS to reduce its complexity and in turn reduce its computing time. an example of such FFT is Cooley-Tukey algorithm

How many FastEthernet interfaces does a 2960 switch have?

Answers

Answer:

24 i believe

Explanation:

It should be around 24.
Other Questions
ASpoon is sold at a loss of 47%. If it was sold at 200Calculate the Cost Price lim x to 7(sqrt(x) - sqrt(7)/x-7 What is Squeaky's real name from "Raymond's Run"? HELP WILL GIVE BRAINLIEST PLEASE Which expression is equivalent to 6 - (-2)?-6 + 2-6 - 26+26-2 Prove by definition that {(x,y,z)| x +2-6z=0} is a C surface. when page buffering is used, during page replacements it is possible to bring a new page into physical memory, without having to write a victim page out. true or false Given the function R(x)=x+3x4, find the values of x that make the function less than or equal to zero. Write the solution in interval notation. Gelb Company currently manufactures 43,000 units per year of a key component for its manufacturing process. Variable costs are $2.95 per unit, fixed costs related to making this component are $73,000 per year, and allocated fixed costs are $77,500 per year. The allocated fixed costs are unavoidable whether the company makes or buys this component. The company is considering buying this component from a supplier for $3.70 per unit. Calculate the total incremental cost of making 43,000 units and buying 43,000 units. Should it continue to manufacture the component, or should it buy this component from the outside supplier A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza or steak?P(pizza or steak) What are the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 2?The slope is 2, and the y-intercept is 9.The slope is 2, and the y-intercept is 9.The slope is 9, and the y-intercept is 2.The slope is 9, and the y-intercept is 2. How do you know if it's a function or Nonfunction? A gas is enclosed in a 10.0 L tank at 1200 mm Hg pressure. Which of the following is a reasonable value for the pressure when the gas is pumped into a 5.00 L vessel? The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. (a) Use differentials to approximate the possible propagated error in computing the area of the triangle. (b) Approximate the percent error in computing the area of the triangle. Step 1 of 3 A Consider that the measurement base and the altitude of a triangle of a triangle is 36 and 50 centimeters, respectively. Also, the possible error in each measurement is 0.25 centimeter. Comment Step 2 of 3 A (a) Objective is to approximate the propagated error in computing the area of the triangle with the help of differential. For this note that the formulae for the area of triangle is: A= (bn) Here, b is the base of triangle and h is the height of triangle. Thus, b= 36, h = 50 And, db = dh = +0.25 To approximate the propagated error differentiate the area and get dA, dA= 2 1 = 56(dh) +=n(db) - }(50)x(+0.25)+} (36)*(+0.25) = +10.75 Thus area has propagate error of about 10.75 cm? Comment Step 3 of 3 A (b) The percent error can be calculated as follows: +b(dh) +hdb -x100 dA x 100 = 2 A 1 bh 2 21.50 -x100 1800 = 1.194 Hence, the required percent error is 1.194% Couldn't do this one help needed When we count 4 sixteenth notes using the American counting system, we would say:A.1-2-3-4B.1 + 2 +C.1 u 2 3D.1 e + u When making a major purchase, people shouldO consider their future needs.O always finance the product.O buy the most expensive product.O weigh what their friends think. What is the correct symbol equation for the reactions between propanoic acid + sodium carbonate? Should the international community help build nuclear reactors in developing countries to fuel economic growth and provide cheap energy? Explain why or why not. What is the area of this figure? 4, 4, 11, 11, 4, 6, 2, 2, Write your answer using decimals, if necessary