Fresh whole milk containing 3.5% fat was separated using a centrifuge into cream with 50% fat and skim milk with 0.4% fat what will be the proportion of skim milk to cream

Answers

Answer 1

Answer:

For 1hour whole milk feed = (60,000 /6 )Kg=10,000Kg

So that the flow rate of whole milk feed = 10,000 kg/hr

Mass of whole milk=10,000 kg

Mass of cream = x kg Mass of skim milk=(1-x) Mass balance equation is Whole milk= skim milk + cream 10,000kg=skim milk + x kg So, skim milk = (10,000-x) kg Material balance on fat is 10,000kg×0.04 = (10,000-x)×0.004 + x On solving the above equation we get the value of x So, x=361.44 kg So that the flow rate of cream = x= 361.44kg/hr and mass of skim milk= (10,000-x)=(10,000-361.44)kg = 9,638.56 kg So that the flow rate of skim milk = 9,638.56 kg/hr. for checking

(Whole milk) flow rate = (skim milk + cream) flow rate

10,000 kg/hr = (9,638.56 + 361.44) kg/hr 10,000 kg/hr = 10,000 kg/hr Hence it is proved.


Related Questions

HQ5.40
Homework Answered Due Today, 11:59 PM
The reaction 3H₂(g) + N₂(g) → 2NH3(g) has an enthalpy of reaction of -92.6 kJ/mol. If 1 g of hydrogen and 2 g of nitrogen are
reacted, how much heat is produced (kJ)?

Answers

The amount of heat energy produced when 1 g of hydrogen and 2 g of nitrogen are reacted, is -6.61 KJ

How do i determine the heat energy produced?

First, we shall obtain the limiting reactant. Details below:

3H₂ + N₂ -> 2NH₃

Molar mass of N₂ = 28 g/molMass of N₂ from the balanced equation = 1 × 28 = 28 g Molar mass of H₂ = 2 g/molMass of H₂ from the balanced equation = 3 × 2 = 6 g

From the balanced equation above,

28 g of N₂ reacted with 6 g of H₂

Therefore,

2 g of N₂ will react with = (2 × 6) / 28 = 0.43 g of H₂

We can see that only 0.43 g of H₂ is needed in the reaction.

Thus, the limiting reactant is N₂

Finally, we the amount of heat energy produced. Details below:

3H₂ + N₂ -> 2NH₃ ΔH = -92.6 KJ

Molar mass of N₂ = 28 g/molMass of N₂ from the balanced equation = 1 × 28 = 28 g

From the balanced equation above,

When 28 grams of N₂ reacted, -92.6 KJ of heat energy were produced.

Therefore,

When 2 grams of N₂ will react to produce = (2 × -92.6) / 28 = -6.61 KJ

Thus the heat energy produced from the reaction is -6.61 KJ

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Which of the following is a property of ionic compounds?Group of answer choicesThey can be solid, liquid or gas at room temperature (25 °C).They react with water and oxygen.They are ductile and malleable.They can conduct electricity when dissolved in water

Answers

The property of ionic compounds is Option B. they react with water and oxygen.

Ionic compounds are very strong and require a lot of energy to break down so they have high boiling and melting points. Ions are formed due to electrostatic attraction between oppositely charged ions. All ionic compounds form crystals. Ionic compounds tend to have high melting and boiling points. Ionic compounds are very hard and very brittle.

Ionic compounds conduct electricity when dissolved in water. A property that is not characteristic of ionic compounds is that they are good conductors of electricity as solid crystals. Description To form a neutral ionic compound the cation and anion charges must be balanced. Some of the physical properties of ionic compounds are Physical State Ionic compounds are solid and relatively rigid due to the strong attraction between cations and anions.

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The molecule NHz contains all single bonds. False or true?​

Answers

Answer:

true

Explanation:

I think that the answer would be true

What is the definition of silicon minerals

Answers

Compounds That contain silicon element

Which best explains why an Al 3+ ion is smaller than an Al atom?
In forming the Al³+ ion, the Al atom loses the electrons in its outermost energy
level, causing a decrease in the atomic radius.
In forming the Al3+ ion, the Al atom gains three protons and the resulting net
positive charge keeps the electrons more strongly attracted to the nucleus,
reducing the radius.
The Al3+ ion contains more electrons than the Al atom, which results in a greater
attraction for the nucleus and a smaller atomic radius.
In forming the A13+ ion, the Al atom adds electrons into a higher energy level,
causing a decrease in the atomic radius.
There are more protons in an Al3+ ion than there are in an Al atom.

Answers

In forming the Al³⁺ ion, the Al atom loses the electrons in its outermost energy level, causing a decrease in the atomic radius, hence option A is correct.

The number of protons in the nucleus of AlandAl3+ AlandAl3+ is the same, however there are differing numbers of electrons in the final shell. Al³⁺ is smaller than Al because it has fewer electrons.

The Al atom will become an Al³⁺ ion when it loses its third electron and develops a tri-positive charge on it. In forming the Al³⁺ ion, the Al atom loses the electrons in its outermost energy level, causing a decrease in the atomic radius.

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What is the binding energy for the nuclide 199F (atomic mass: 18.9984 amu) in MeV per nucleus?

Answers

The binding energy per nucleon for the ¹⁹F nucleon is equal to 7.786 MeV/nucleon.

What is binding energy?

Binding energy can be defined as the minimum quantity of energy that is required to remove the particle from the system. Nuclear binding energy can be described as the energy required to dismantle a nucleus of an atom into free neutrons and protons.

The binding energy will be determined from the mass defect. Mass defect is calculated from the difference between the mass observed and the expected combined mass.

Given the mass of the ¹⁹F = 18.9984 a.m.u.

The mass defect for the ¹⁹F can be calculated as:

Δm = \((M _n +M_p) - M_F\)

\(\triangle m =( 9\times 1.0078 + 10 \times 1.0087 )- 18.9984\)

\(\triangle m =0.1588 \;a.m.u.\)

The binding energy for the fluorine can be calculated as:

E = Δmc²

E = 0.1588 × 931.5

E = 147.92 MeV

The binding energy per nucleon of ¹⁹F can be calculated as:

B.E.N. = 147.92/18.9984 = 7.786 MeV per nucleon

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HOW ww STON 4 (November 2015) own gas, Xx(g), is sealed in a container and allowed to form Xaigi at 300 C The action am according to the following balanced equation: 3Xlg) = 2Xg) How will the rate of formation of Xa(g) compare to the rate of formation of Xus)* Write down only HIGHER THAN, LOWER THAN or EQUAL TO eaction mixture is analysed at regular time intervals. The results obtained are shown the below TIME [X₂] [X] of Hubig) produced? Fully explain the 0 2 4 6 8 10 0.22 0.08 0,06 0.06 0.06 0.120 0213 0.228 0.226 0.226 Calculate the equilibrium constant, K., for this reaction at 300 °C. (Answer 236.46) More X:(g) is now added to the container. 4.3.1 How will this change affect the amount of Xzig)? Write down INCREASES, DECREASES or REMAINS THE SAME. 4.3.2 Use Le Chatelier's principle to explain the answer to QUESTION 4.3.1. ​

Answers

According to Le Chatelier's principle, the system will respond by shifting the reaction in the forward direction to counteract the increase in X:(g) concentration

Based on the given data, we can observe that the concentration of Xa(g) remains constant throughout the time intervals, while the concentration of Xus)* decreases. This implies that the rate of formation of Xa(g) is higher than the rate of formation of Xus)*.

To calculate the equilibrium constant (K) for the reaction, we can use the equation: K = ([Xa(g)]^2)/([Xus)*]^3. Using the data at equilibrium, we have K = (0.228^2)/(0.06^3) = 236.46.

When more X:(g) is added to the container, the amount of Xa(g) will increase. Therefore, the amount of Xa(g) will INCREASE.

This can be explained using Le Chatelier's principle. By adding more X:(g), the equilibrium of the reaction is disturbed. . As a result, more Xa(g) will be formed to establish a new equilibrium, leading to an increase in the amount of Xa(g).

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Erosion occurs faster on:
a. Barren land (land with no vegetation)
b. Land covered with vegetation

Answers

Answer:

its b i bet

Explanation:

B. Land covered with vegetation

a weather balloon is inflated to a volume 2.2 10square3 L with 374g of helium. what is the density of helium in grams per liter

Answers

Answer:

Density = 0.17 g/L

Explanation:

It is given that,

Volume of the inflated balloon filled with Helium, \(V=2.2\times 10^3\ L\)

Mass, m = 374 g

We need to find the density of helium. It is equal to its mass per unit volume. It can be given by :

d =m/V

\(d=\dfrac{374\ g}{2.2\times 10^3\ L}\\\\=0.17\ g/L\)

So, the density of helium in the balloon is 0.17 g/L.

A scientist calculated that 150 grams of sodium hydroxide would be created from a specific experiment. Upon performing the experiment, they created 135 grams of sodium hydroxide. what would this experiments percent yield be

Answers

The percent yield of a chemical response is the proportion of the real yield to the hypothetical yield, communicated as a rate.

What would this experiments percent yield be?

In this case, the hypothetical yield is 150 grams of sodium hydroxide, as calculated by the researcher. The genuine yield is 135 grams of sodium hydroxide, as gotten from the experiment.

The percent yield can be calculated utilizing the equation:

Percent yield = (real yield / hypothetical yield) x 100%

Substituting the values given within the issue, we get:

Percent  yield= (135 / 150) x 100%

Percent yield = 0.9 x 100%

Percent yield = 90%

Hence, the percent yield of the experiment is 90%. This implies that 90% of the hypothetical abdicate was gotten within the test.

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1. Which on these elements has chemical properties most similar to
those of oxygen (O)?
O Nitrogen
O carbon
O Magnesium
O Sulphur

Answers

Answer:

A

Explanation:

nitrogen has the similar properties because carbon is the opposite of oxygen

What is the Internal Energy of a Human Body? Define internal energy as Delta E.
SHOW ALL WORK!
20 points

Answers

The internal energy of a human body is the net energy contained in the body due motion of its particle or molecules.

In a human body the internal energy is stored . It increases when the temperature of the body rises, or when the body observes some changes. Internal energy we can say that is the sum of kinetic and potential energy of all particles in the body.

Internal energy is a state function of a system and is an extensive quantity. Every substance possesses a fixed quantity of energy which depends upon  its chemical nature and also on its state of existence. Every substance have a definite value of Internal energy.

The change in the Internal energy of a reaction may be considered as the difference between the internal energies of the two states.

ΔU = \(E_{B}\) - \(E_{A}\)     where \(E_{B}\) and \(E_{A}\) are the initial energies of states A and B. Or we can also write the equation as:

ΔU = ΔE

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A balloon held at 273 K has an initial volume of 2.0 L at 1.0 atm of pressure. If the pressure is increased to 3.5 atm, what is the new volume of the balloon?

Answers

Answer: 5.5 atm

Explanation:

24. The Henry’s law constant for O2 is 1.3 × 10−3 M/atm at 25 °C. Assuming ideal solution behavior, what mass of oxygen, in grams, would be dissolved in a 40. L aquarium at 25 °C, assuming an atmospheric pressure of 1.00 atm, and that the partial pressure of O2 is 0.21 atm?

Please enter your answer with two sig figs, no units, no scientific notation.

Explain please <3

Answers

The aquarium has 0.35 g of dissolved oxygen in it.

What is mass?

The quantity of matter in an object is expressed in terms of mass. It is a scalar number, and units like grams, kilograms, and pounds are used to measure it. Weight, the force of gravity acting on an object, is not the same as mass. An object's mass is a fundamental characteristic that exists regardless of where it is or the gravitational environment it is in.

How do you determine it?

Henry's law, which connects the concentration of a gas in a solution to its partial pressure, can be used to determine the mass of oxygen (O2) that would be dissolved in a 40 L aquarium:

C = kH x P

where P is the partial pressure of the gas, kH is the Henry's law constant, and C is the concentration of the gas in the solution.

To solve the concentration by rearranging the equation, we obtain:

C = (kH x P) 

Using the above values for kH and P, we obtain:

C = (1.3 10^-3 M/atm) x (0.21 atm) = 2.73 10^-4 M.

This indicates that the aquarium's dissolved oxygen concentration is 2.73 x 10^-4 M.

We can use the following equation to determine the mass of O2 dissolved in the aquarium:

Mass = concentration x volume x molar mass.

where O2 has a molar mass of 32 g/mol.

Inputting the values provided yields:

mass = (2.73 x 10^-4 M) x 40 L x 32 g/mol = 0.35 g

As a result, the aquarium has 0.35 g of dissolved oxygen in it.

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dropping an Alka-Seltzer tablet into a glass of water _________________________________________ b. bleaching a stain _________________________________________ c. burning a match _________________________________________ d. rusting of an iron nail

Answers

Answer:

Hi there!

When dropping Alka-Seltzer into a glass of water, bubbles immediately appear and the solid substance “disappears”, dissolves, into the water. This forms a new compound, a liquid, which means a reaction took place.

a gallon of paint. covers an average of 20.0m^2 of surface. The paint costs $10.00 per gallon. What is the cost of the paint needed to cover a surface that is 108.0ft long by 10.0ft wide?

Answers

Answer:

60 dollars.-

Explanation:

1 meter = 3.28 feet

1 square meter = 3.28^2 feet^2

1 square meter = 10.7584 square feet.

20 square meters = 10.7584 * 20 = 215.168 square feet.

The area to be painted is 108.0 * 10.0 = 1080 square feet

The number of cans of paint needed = 1080/215.168

The number of cans of paint needed = 5.09 cans

Even with so little above 5, you have to round up. So it is 6 cans of paint needed.

1 can of paint costs 10 dollars.

6 cans of paint costs 6 * 10 = 60 dollars

order these elements by decreasing electron affinity:
Na, Al, S, K, F

Answers

Answer:

increasing to decreasing:

F--- S--- Al--- Na--- K

not sure...

Does a reaction occur when aqueous solutions of copper(II) nitrate and calcium chloride are combined

Answers

Answer:

Does a reaction occur when aqueous solutions of copper(II) nitrate and calcium chloride are combined?

Explanation:

The given reaction is an example of a chemical double displacement reaction.

The mutual interchange of the ions takes place.

The balanced chemical equation of the reaction is:

\(Cu(NO_3)_2(aq)+CaCl_2(aq) -> Ca(NO_3)_2(aq)+CuCl_2(aq)\)

All the products formed are also highly soluble.

So, all the ions are spectator ions.

Hence, all will cancel with each other and ions remain in the net ionic equation and hence, the reaction does not take place.

C6H12O6 + 602 → 6CO2 + 6H₂O
The most efficient ratio is
1 C6H12O6 6 02.
Which set of reactants will be the most
efficient (least wasteful of materials) for
the reaction?
A. 1.0 mol C6H12O6 and 3.0 mol O₂
B. 1.5 mol C6H₁2O6 and 3.0 mol O₂
C. 3.0 mol C6H₁2O6 and 6.0 mol O₂
D. 0.5 mol C6H₁2O6 and 3.0 mol O₂

Answers

Answer:

D

Explanation:

The ratio of C6H12O6 (which will be referred to as "the carb") to oxygen is 1 to 6, so if we find an answer which has the same ratio, it should be chosen. A is 1:3
B is even worse with a ratio of the carb to oxygen of 1:2
C is the same as B, 1:2
D has a ratio of the carb to oxygen of 1:6, which is what we are looking for.

ws oxidation number and balancing equation

Answers

Oxidation number is a number assigned to an atom in a chemical compound that represents the number of electrons lost or gained by the atom.

What is balancing equation?

A balancing equation or balanced is a chemical expression wherein the tally of atoms for each constituent element mirrors harmoniously on either side of the equation. This harmonious alignment extends to both mass and charge, embodying equilibrium throughout.

The art of balancing equations holds great significance as it upholds the revered principles of the conservation of mass and the conservation of charge.

The conservation of mass, a fundamental decree, dictates that the essence of matter remains unaltered, impervious to creation or annihilation in the course of a chemical transformation.

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Complete question:

What is oxidation number and balancing equation?

A sample of 0.49 g of carbon dioxide was obtained by heating 1.22 g of calcium carbonate. What is the percent yield for this reaction

Answers

The percent yield for the reaction of a sample of 0.49 g of carbon dioxide was obtained by heating 1.22 g of calcium carbonate is 92.4%

Given the mass of carbon dioxide (\(CO2\)) = 0.49g

The mass of calcium carbonate (\(CaCO3\)) = 1.22g

The reaction is as follows:

\(CaCO3(s) -- > CaO(s)+CO2(s)\)

As we see 1 mole of CaCO3 is required to produce 1 mole of \(CO2\)

The molar mass of calcium carbonate, = 100.09 g/mol.

The molar mass of given carbon dioxide = 44g

mass of \(CaCO3\) used = number of moles x molar mass = 1 * 100 = 100g

Mass of \(CO2\) produced = 1 * 44 = 44g

Here for 100g of \(CaCO3\) 44g of \(CO2\) is produced.

Then for 1.22g of \(CaCO3\) = 44 * 1.22/100 = 0.53g of \(CO2\) is produced.

But the actual yield of carbon dioxide is 0.49 g

The percent yield is calculated by dividing the actual yield by the theoretical yield and multiplying by 100.

percent yield = 0.49/0.53 * 100 = 92.4%

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When the concentration of SO2(g) is increased to 1.48 M, the ratio of products to reactants is 1.4. The equilibrium constant for the reaction is 14. In which direction will the reaction shift to regain equilibrium

Answers

Answer:

Towards the products

Explanation:

The equilibrium constant for the reaction is 14. The equilibrium will shift towards the product.

What is equilibrium?

Equilibrium is defined as a condition in which the forward and backward reaction rates are identical. When all of the external forces acting on an object are balanced, the object is said to be in equilibrium in a reference coordinate system. This indicates that all external forces and moments acting on this item have a net effect of zero.

When sulfur dioxide SO2 concentration is increased, the Q value rises to 1.4.

Q = [ SO₃ ]² / [ SO₂ ]² [ O₂ ]

Q = 1.4

Where K

K = [ SO₃ ]² / [ SO₂ ]² [ O₂ ]

K = 14

Q will shift to the right to consume the extra SO2 and restore the equilibrium position since Q is less than K.

Thus, the equilibrium constant for the reaction is 14. The equilibrium will shift towards the product.

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write the structural formula for 2-bromo-3-chloro-4,4-dimethylpentanal​

Answers

Answer:

Br-CH2-CH(CH3)2-C(Cl)H-CH(CH3)2-CHO

Explanation:

The molecule has a total of 14 carbon atoms, 13 hydrogen atoms, and 1 bromine atom. The carbon atoms are arranged in a chain with a methyl group attached to the second carbon atom, a chlorine atom attached to the third carbon atom, and two methyl groups attached to the fourth carbon atom. The fifth carbon atom has a carbonyl group attached to it.

The molecule is an aldehyde, which means that it has a carbonyl group (C=O) at the end of the chain. The carbonyl group is polar, and the oxygen atom has a partial negative charge. The hydrogen atom has a partial positive charge. This polarity makes the aldehyde group susceptible to nucleophilic attack.

The bromine and chlorine atoms are both electrophilic, which means that they have a partial positive charge. This makes them susceptible to nucleophilic attack.

The methyl groups are non-polar and do not have any significant reactivity.

The molecule is a chiral molecule, which means that it has a mirror image that is not superimposable on itself. This is because the carbon atom with the carbonyl group is attached to four different groups.

The molecule is a liquid at room temperature and has a strong odor. It is used in a variety of products, including perfumes, flavorings, and plastics.

20.00 mL of a 0.077 M solution of silver nitrate, AgNO3, is mixed with 30.00 mL of a 0.043 M solution of sodium acetate, NaC2H3O2. Does a precipitate form? The Ksp of AgC2H3O2 is 2.5*10^-3.

Answers

Answer:

No, no precipitate is formed.

Explanation:

Hello there!

In this case, since the reaction between silver nitrate and sodium acetate is:

\(AgNO_3(aq)+NaC_2H_3O_2(aq)\rightarrow AgC_2H_3O_2(s)+NaNO_3(aq)\)

In such a way, we can calculate the concentration of silver and acetate ions in the solution as shown below, and considering that the final total volume is 50.00 mL or 0.0500 L:

\([Ag^+]=\frac{20.00mL*0.077M}{50.00mL}=0.0308M\)

\([C_2H_3O_2^-]=\frac{30.00mL*0.043M}{50.00mL}=0.0258M\)

In such a way, we can calculate the precipitation quotient by:

\(Q=[Ag^+][C_2H_3O_2^-]=0.0308*0.0258=7.95x10^{-4}\)

Which is smaller than Ksp and meaning that the precipitation does not occur.

Regards!

A scientist claims to have discovered an element with 30 protons in its nucleus. He determines it has 60 electrons. Why is his information False?
A.The number of electrons is always equal to the number of protons in its outer shell.
B.The number of protons, the number of neutrons, and the number of electrons are always equal.
C.The number of electrons in an atom of an element is always the same as the number of protons in its nucleus.
D.The number of electrons in an atom of an element is always half of the number of the protons in its nucleus.

Answers

Answer:

the number of electrons in an atom of an element is always the same as the number of protons in its nucleus

The number of electrons in an atom of an element being always the same

as the number of protons in its nucleus is False.

What is an Electron?

This is a sub-atomic particle which is negatively charged and is usually

involved in chemical reactions.

Electropositive elements donates electrons while electronegative

elements accepts electrons during chemical reactions which is why the

number of proton and electron aren't always the same.

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1 Correct the following statement . Alkanol is
common system of naming alcohols in its series.​

Answers

Answer:

The common system of naming alcohol in its series is alcohol

GUYS HELPPPP PLEASEEE!!!!!!

GUYS HELPPPP PLEASEEE!!!!!!

Answers

C is your best bet sir

arrange the following group of atoms in order of decreasing atomic size:B,Al,Ga​

Answers

Answer:

B<Ga<Al

Explanation:

Hope this helps

22.99 on the element sodium means the combined numbers of electrons and protons?

Answers

Answer:

The answer is 11 electron and 11 protons respectively

Explanation:

Since the sodium is in it neutral state, number of electron is the same as the number of proton, which is 11.

Answer:

Explanation:

you are welcome

which one of these would be the best example for kinetic energy
A roller coaster at the top of the tallest hill
A pendulum at the greatest height of it's swing
A drawn bowstring prior to being released
A marble about to reach the bottom of the slope

Answers

Answer:

a marble about to reach the bottom of the slope

Explanation:

hope this helps

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The first paragraph in the passage on chimney swifts includes this description: "...large colonies of hundreds, or even thousands, of individuals form tornado-like funnels." Why does the author include this in the passage? A. It proves the author is an expert in bird studies B. It provides the reader with an engaging image C. It establishes the passage as a work of fiction D. It offers supporting evidence for the claim 4. Based on the passage, which of the following statements is true? A. The author provides facts to support the main idea B. The author uses an informal style that appeals to readers C. The author has an extensive background in bird studies D. The author relies on first-hand observation of chimney swift behavior 5. Which of the following lists support the main idea of the passage? A. Chimney swifts appear in North America in summer, migrate to the tropics in winter, and give birth in the spring B. Logging and deforestation, changes in the ways we heat our buildings, and chimney capping have robbed the chimney swift of its preferred roosting sites C. The small, slender bird known as the chimney swift migrates in large numbers, can be seen only at dusk, and raises its young in the tropics D. Metal-lined chimneys, chimney towers, and reforestation efforts will ultimately result in the growth of the chimney swift population 6. Which of the following conclusions can swift population 6. Which of the following conclusions can the reader make from the passage? A. Metal flumes are inserted in masonry chimneys to prevent birds, such as chimney swifts, from nesting in them B. Chimney swifts can easily adapt roosting behaviors to any structure made of the proper material C. Chimney swifts are nocturnal birds whose large numbers are evident in the size of their colonies D. Moving in large chipping flocks is a natural protection against predators Chimney swifts are small, slender birds that have become a symbol of summer for many. They usually appear in North America during warm, summer months as they make their way to more tropical sites for the winter. They are recognized most often as spectacular, chirping flocks moving through the sky in synchrony. Chimney swifts can be seen most vividly at dusk when large colonies of hundreds, or even thousands of individuals form tornado-like funnels as they descend into the chimneys. Unfortunately, the size of the colonies we see is misleading. Though the numbers may seem remarkable, chimney swift populations have been declining sharply since the 1970's due primarily to habitat loss. Unlike most birds, chimney swifts cannot perch or stand upright, so they require long, hollow spaces that are enclosed to provide safe roosting and nesting sites. Historically, chimney swifts preferred hollow trees. However, as pioneers colonized territory and replaced forests with towns, the species was forced to adapt by using other structures, such as chimneys. In the US, a large-scale shift to alternate heat sources, chimney- capping and the use of fabricated chimneys has drastically impacted their ability to nest during migration. Traditionally, chimneys were lined with clay, which the swifts were able to cling to and make their nests. Newer, prefabricated chimneys are often lined with metal flues Traditionally, chimneys were lined with clay, which the swifts were able to cling to and make their nests. Newer, prefabricated chimneys are often lined with metal flues that make it impossible for them to use. In addition, logging and deforestation may make finding suitable overwintering habitat more challenging than ever. In an effort to sustain the remaining population, conservation groups have designed supplemental housing structures, called "Chimney towers." These towers are designed specifically to provide roosting sites for chimney swifts. Chimney swifts now rely almost entirely on man-made structures like these to survive. However, because this species is remarkably adaptable, even minimal conservation efforts like keeping traditional masonry chimneys uncapped during the summer months can drastically improve their chance of survival. Help pls ASAP -2x(-3x - 4y - 8) In the following question, the domain of discourse is a set of employees who work at a company. Ingrid is one of the employees at the company. Define the following predicates: S(x): x was sick yesterday W(x): x went to work yesterday V(x): x was on vacation yesterday Translate the following English statements into a logical expression with the same meaning. (a) At least one person was sick yesterday (b) Everyone was well and went to work yesterday. c) Everyone who was sick yesterday did not go to work d) Yesterday someone was sick and went to work (e) Everyone who did not got to work yesterday was sick (f) Everyone who missed work was sick or on vacation (or both) (g) Someone who missed work was neither sick nor on vacation. (h) Each person missed work only if they were sick or on vacation (or both) 0 Ingrid was sick yesterday but she went to work anyway Someone besides Ingrid was sick yesterday. (Note that the statement does not indicate whether or not Ingrid herself was sick yesterday. Also, for this question, you will need the expression (x # Ingrid) 0) Everyone besides Ingrid was sick yesterday. (Note that the statement does not indicate whether or not Ingrid herself was sick yesterday. Also, for this question, you will need the expression ( Ingrid).) suppose that f (x, y) = xe^{x(y+1)} , 0 x < [infinity], 0 y < [infinity]a. find the marginal densities of x and y . are x and y independent? b. find the conditional densities of x and y .