Assume N securities. The expected returns on all the securities are equal to 0.01 and the variances of their returns are all equal to 0.01. The covariances of the returns between two securities are all equal to 0.005.

What are the expected return and the variance of the return on an equally weighted portfolio of all N securities?

What value will the variance approach as N gets large?

What characteristic of the securities is most important when determining the variance of a well-diversified portfolio?

Can anyone help wit this question? this teacher is crazy

Answers

Answer 1

Answer:

Explanation:

The average covariance between securities will be much more important in determining a portfolio’s risk than the average variance, when the portfolio is “well diversified.”

Assume N Securities. The Expected Returns On All The Securities Are Equal To 0.01 And The Variances Of
Assume N Securities. The Expected Returns On All The Securities Are Equal To 0.01 And The Variances Of
Assume N Securities. The Expected Returns On All The Securities Are Equal To 0.01 And The Variances Of

Related Questions

A particular protein (Vac8) found in yeast has this N-terminal sequence, Met-Gly-Ser-Ser-Cys.... The corresponding DNA sequence in the coding strand is 5' ATG GGC TCA TCG TGC.... If the DNA sequence is mutated to 5' CTG GGC TCA TCG TGC..., what will happen to this VAC8 gene? (in RNA, CUG codes for Leu)

Answers

Answer:

The protein will not be synthesized because this point mutation produces the loss of the start codon (substitution of Met by Leu).

Explanation:

The mutations are changes in the DNA sequence that have diverse effects on protein synthesis. A mutation in the start AUG codon may lead to the reduction and even the elimination of protein synthesis. In consequence, this type of point mutation is usually referred to as 'start-loss mutation'.

Where does the electron-acceptor molecule
transfer electrons?
photosystem 1
photosystem II
the thylakoid space
the electron transport system

Answers

Answer:

The answer is photosystem 1

Explanation:

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(If helpful)

Answer: A.) photosystem I

Explanation: i hope this helps :)

To what kingdom do coccidia belong? Monera, Animalia, Protista, Protozoan

Answers

Answer:

Protozoan

hope this help you

Match the chemical reaction with its correct type.
1. Nat + Cl → NaCl
decomposition reaction
2. CCIA C + 2Cl2
exchange reaction
3. HCl- + NaOH → NaCl + H2O
reversible reaction
4. ADP + P + E = ATP
synthesis reaction

Answers

hope it will help uh.....

Answer:

Match the chemical reaction with its correct type.

1. Nat + Cl → NaCl

decomposition reaction

2. CCIA C + 2Cl2

exchange reaction

3. HCl- + NaOH → NaCl + H2O

reversible reaction

4. ADP + P + E = ATP

synthesis reaction

Explanation:

Match the chemical reaction with its correct type.

1. Nat + Cl → NaCl

decomposition reaction

2. CCIA C + 2Cl2

exchange reaction

3. HCl- + NaOH → NaCl + H2O

reversible reaction

4. ADP + P + E = ATP

synthesis reaction

Besides the HCT, what other component of blood could be measured to give a better understanding of oxygen-carrying capacity? Explain your answer.

Answers

Answer:

The haemoglobin levels or counts can be used.

Explanation:

The oxygen carrying pigment of the blood is the heamoglobin (Hb).it is a protein molecule with for heam groups,Each of the latter can bind with  4 molecules of oxygen in a cooperate bonding.The more oxygen molecules binding by Hb,the more oxygen is carry in RBC.

Therefore if the number of Hb counts is reduced in an individual the volume of oxygen in the RBC of the subject should  reduced,Therefore, this should be a good indicator of the lower oxygen capacity of the blood of the individual.

Basically in a physiological female the Hb count/100ml of blood is 12-16g/ml,like wise 13-18g/100mI in a physiological  man.

Therefore fluctuations in the levels of these values below the set points  is an indicator of distortion in the oxygen carrying capacity of the blood.

The  amount of the blood in volume that contains RBC is called Hematocrit. Therefore for accuracy the HCT together with the Hb counts are good indicators of oxygen capacity of the blood.

Hematocrit refers to the volume percentage of the red blood cells in the blood. Oxygen-carrying capacity can be measured by several techniques.

The co-oximetry and Arterial Blood Gas can be used to determine the oxygen-carrying capacity.

The techniques can be explained as:

Co-oximetry is a type of blood test used to measure the oxygen-carrying capacity of the hemoglobin in the blood. The test uses the light of different wavelengths that can pass through the blood to determine oxygen capacity.

Arterial blood gas or ABG test is a type of blood test used to measure the pH and oxygen-carrying capacity of the blood present in the artery. It is used to determine the efficiency of the lungs to exchange the gas oxygen and carbon dioxide from the blood.

Thus, the co-oximetry and ABG test can be used to determine oxygen levels in the blood.

To know more about blood tests, refer to the following link:

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Domesticated dogs are descended from wolves, and modern dog breeds are the result of artificial selection. Imagine that you were given a population of wolves and asked to
ultimately produce Chihuahuas (if you don't know this breed of dog, please Google it).
1. If you had a bunch of wolves and wanted a Chihuahua, how you create one? List just one thing you would do.
2. Explain how your strategy would work.
Hint: Think about what you learned about natural selection.

Answers

Answer:

organisms acclimate over time is by adapting to their habitats and their ecosystem. If i were to make a population of wolves into a chihuahua i would make sure that the habitat is smaller and also the amount of resources available should be less than what they are used to. This should cause them to become smaller to help preserve energy.Once they breed and a favorable genetic is present, that wolf is used to breed with another wolf that has a genetic mutation that would make it smaller and more domesticated. By taking genetic mutations that are a result from these changes you can get a wolf to be more domesticated and become smaller. like a chihuahua

Exchange of respiratory gases takes place in an earthworm through (A) moist skin (B) gills (C) trachea (D) lungs

Answers

The lungs is the answer

Explanation

Earthworms do not have specialized respiratory organs like we do; instead, they take in oxygen and expel carbon dioxide directly through their skin. Oxygen diffuses through the earthworm's body surface and diffuses inward to the network of capillaries lying just under the body surface.

Answer:

I believe skin is the answer on edg.

Explanation:

What is the current classification of bacteria formerly termed members of the Bethesda-Ballerup group? g

Answers

Answer:

Explanation:

This group is made up bacteria that utilizes of citrate and are slow lactose-fermenting. They belong to the family Enterobacteriaceae which share some particular feature with the lactose-fermenting citrobacters.

Thus, they have now been included in the genus Citrobacter with no regards to how fast or slower their lactose fermentation is.

imagine you are a detective examining a crime scene you are trying to identify the person who committed the crime so you collect many samples at the crime scene which sample would be most useful in identifly the person who commited the crime A. a book found on the ground at the crime scene B. a pair of shoes found at the crime scene C. an uneaten burger and fries left at the crime scene D. a piece of fingernail found at the crime scene

Answers

D. A piece of fingernail found at the crime scene

Answer:

The answer would be D

Explanation:

Only logical answer here

How do catalyst work?

Answers

Answer:

Catalysts increase the reaction rate of a chemical reaction, allowing it to use less energy to start a chemical reaction and doesn't change the chemical properties or formulas.

Explanation:

can solor activity cause climate change ?

Answers

Answer:

"It has been suggested that changes in solar output might affect our climate—both directly, by changing the rate of solar heating of the Earth and atmosphere, and indirectly, by changing cloud forming processes..."

                                                                          - quoted from Google

Explanation:

So yes, it can cause climate change depending on what kind of activities occurs in the solar system.

Bats hunt using echolocation, in which they send and receive high frequency sounds to locate prey. When bats hear the sounds of others,
they typically begin hunting in the same area. As the number of bats hunting in the area increases, individuals become more successful at
locating and capturing prey.
Some populations of bats live in areas with high levels of noise pollution, such as near heavily trafficked bridges. How might the hunting
behavior of bats be affected by such an environment?
A
Bats would be less likely to hunt in groups, so an individual's success in catching prey would decrease.
B.
C.
Bats would be unable to use echolocation, which would prevent them from finding any prey.
Bats would be more likely to hunt in groups, so an individual's success in catching prey would increase.
Bats would be better able to use echolocation, which would improve their ability to find prey.
D.

Answers

Answer:

A

Simply the noise from heavy traffic will cause the destructive interference which reduces the echolocation,blocking the echoes  and therefore prevent prey location for bats.

Generally this reduces the Bats' population, as some could not rely on the echo to locate the prey, leading to starving  and death. Thus each bat needs to rely on the individual echolocation from the prey to survive as new hunting adaptation.Since the echolocations has been blocked

Answer:

Bats would be unable to use echolocation, which would prevent them from finding any prey.

Explanation:

What is a substrate? a molecule that acts as a catalyst a place where the reaction occurs a place on the product where the enzyme fits a reactant that is catalyzed by an enzyme

Answers

Answer:

a reactant that is catalyzed by an enzyme

Explanation:

Reactants are often referrred to as substrates as those are what enzymes mostly act upon to create products or some desired consequence

Option (d). a reactant that is catalyzed by an enzyme is called the substrate.

Substrate

A substrate exists as a molecule on which an enzyme acts. Enzymes catalyze chemical reactions that concern substrate, where the substrate binds to the enzyme's active site, and an enzyme-substrate complex is created. By action of the enzyme, the substrate exists transformed into a product, released from the active site, and free to obtain another substrate.

Enzyme catalysis exists as the increase in the rate of a process by a biological molecule, an "enzyme". Most enzymes exist in proteins, and most such processes are chemical reactions. Within the enzyme, naturally, catalysis happens at a localized site, called the active site.

The reactant in an enzyme-catalyzed reaction is named a substrate.

Because enzymes can expand reaction rates by enormous factors (up to 1017 times the uncatalyzed rate) and tend to be very precise, typically producing only a single product in quantitative yield, they exist the focus of active research.

Hence, Option (d). a reactant that is catalyzed by an enzyme is called the substrate.

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What is the ecological relationship between the monk seal and the octopus/eel/triggerfish?

Answers

Answer:

The monk seal and the octopus/eel/triggerfish also live in close proximity to each other and have an ecological relationship between them. The monk seals are the predators to octopus/eel/triggerfish in the ocean.

The monk seal preys on octopus/eel/triggerfish in the ocean for their survival and competes with sharks and other marine animals for food.

Hence, the monk seal and the octopus/eel/triggerfish have ecological relationship of the predation in which one animal feed on another.

The ecological relationship between the monk seal and the octopus/eel/triggerfish - predator and prey.

The monk seals are seals with no ear and are found in the tropic climate.

These are the organisms that are live in close proximity to the octopus/eel/triggerfish.The seals are the predators to eels, triggerfish and octopuses at the bottoms of the ocean floor.Sharks are present in the same habitat and feed on the same organisms so they are in competition.

Thus, the ecological relationship between the monk seal and the octopus/eel/triggerfish - predator and prey.

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If the herbivore population in an ecosystem increased, what would most likely happen to the size of the carnivore population? It would decrease. It would increase. It would die off. It would remain the same.

Answers

Answer:

I think the Carnivore population would increase

Explanation:

There would be more prey for the Carnivores. Leading to more food, which leads to more mating.

Answer:

well increase because if we look at the food chain or according to it the carnivore would get more food more food leads to mating

hope it helps


Protein is needed for growth and repair.
The digestion of protein begins in the stomach and is completed in the small intestine,
What are the products of the digestion of protein.
Tick the correct box
amino acids
energy
sugars
vitamins
1 mark
Amino acids
O Energy
O Sugars
Vitamins​

Answers

Answer:

Amino acids

Explanation:

Hope it helps.

The functions of the oral cavity include all of the following, except:_________a. mechanical processing of food. b. digestion of carbohydrates. c. analysis of material before swallowing. d. lubrication. e. absorption of monosaccharides.

Answers

Answer:

e. absorption of monosaccharides

Explanation:

The oral cavity is the first part of the digestive system where food is received, crushed, mixed with digestive enzymes secreted at that level, and also where the food is turned into the form of bolus before it is being channeled down through the pharynx into the alimentary canal for further digestion.

The oral cavity is also a site for respiration and speech production.

It is made up of the teeth, hard and soft palate, tongue and other vital parts that play different roles in food digestion.

The function of the oral cavity does not include absorption monosaccharides.

when a vegtalble is place in very salty water it becomes shriviled up why does this happen

Answers

No it is because of osmosis (diffusion in water) it does the same with gummy bears

Select all that apply.
A food chain or food web can provide good information including
the flow of energy in an ecosystem
the eating patterns of organisms
thing
the types of food that are best for you to eat
how much energy is transferred from one organism to another
MOTORICTION
DCAN NEYT SECTION
ACV AD UUD

Answers

Answer:

the eating patterns of organisms thing

The Punnett square shows the results when two parent cows are crossed.
R represents the allele for red hair, and r represents the allele for white hair.
Which best describes this inheritance pattern?
A) Incomplete dominance because the intermediate form of the trait is chosen
B) Co-dominance because the intermediate form of the trait is chosen C) Incomplete dominance because the offspring display alleles for both hair colors
D) Co-dominance because the offspring display alleles for both hair colors

Answers

Answer:

A

Explanation

the red haired trait is dominant over the white haired trait. and the results are all red haired offspring. therefore its incomplete dominance

The correct option is D) Co-dominance because the offspring display alleles for both hair colors.

What is Co-dominance?

Co-dominance refers to a phenomena, in which both alleles are simultaneously expressed in the heterozygote.

Incomplete dominance is closely related to Co-dominance in which  phenotype of the progeny is intermediate of the parent phenotype.

Here, the red haired trait is dominant over the white haired trait and still both alleles are simultaneously expressed in the heterozygote of the offspring with red and white hair traits, thus, the Co-dominance best describes this inheritance pattern.

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What is the primary cause of weather due to?

Answers

Answer:Temperature Wind Pressure Moisture. Sun.

Explanation:

Answer:

What is the primary cause of weather due to?

The answer is The state of the atmosphere.

Explanation:

I hope this helps :)

Sara was hit in her head during a collision on the soccer field. As a result, Sara is having difficulty with balance and implicit memories. Sara probably damaged her:_________. 1. reticular formation pons 2. amygdala 3. thalamus 4. cerebellum

Answers

Answer:

The correct answer is option 4. cerebellum.

Explanation:

The cerebellum gets information from the sensory system, the spinal cord, and different pieces of the brain and afterward regulates motor movements. The cerebellum organizes voluntary developments, for example, balance, posture, coordination, speech, and balanced muscular activities.

It also deals with the short term or implicit memory. If Sara injured her head and found having difficulty with balance and implicit memories. Sara probably damaged her cerebellum.

Thus, the correct answer is option 4. cerebellum.

Key deer are found only on certain islands in the Florida Keys. Populations are typically small enough that genetic drift has caused significant deviation among populations on different islands. For example, the population on No Name Key has allele frequencies of A1 = 0.43 and A2 = 0.57 while the population on Big Pine Key has allele frequencies of A1 =0.21 and A2 = 0.79. Construction of roads has recently increased migration rates between these populations to approximately 0.08 per generation. What will the frequency of A1 be on Big Pine Key after a single generation of migration from No Name Key?

Answers

Answer:

The frequency of A1 be on Big Pine Key after a single generation of migration from No Name Keyp is 0.2276

Explanation:

Whenever it occurs migration between two populations, there is genetic flux going on. Genetic flux might be considered as an evolutive strength only if migration > 0 and if the allelic frequency in one generation is different from the allelic frequency in the next generation.  

Genetic flux acts homogenizing the allelic frequencies between the two populations, and it might introduce variability.

By knowing the allelic frequencies in both populations at a certain time and the migration rate, we can calculate the allelic frequencies of populations in the next generation. This is:

pA₂=pA₁(1-m)+pB₁ m

pB₂=pB₁(1-m)+pA₁ m

Being

A one population and B the other population pA₁ and pB₁ the frequencies of the p allele before migration, pA₂and pB₂ the frequencies of the p allele after migration, m the migration rate

In the exposed example, we know that:

No Name Key population allelic frequency: A1 = 0.43 and A2 = 0.57Big Pine Key population allelic frequency: A1 =0.21 and A2 = 0.79Migration rate m=0.08

Let´s say that p represents A1 allele, and q represents A2 allele.

The frequency of A1 allele (p) be on Big Pine Key (Population B) after a single generation of migration from No Name Key (Population A)

pB₂=pB₁(1-m)+pA₁ m

pB₂=0.21 x (1 - 0.08) + 0.43 x 0.08

pB₂= 0.2276

The allelic frequency in a population after one generation is the allelic frequency of individuals of that population that did not migrate (21 x  (1 - 0.08) plus the allelic frequency of the new individuals that came from the other population (0.43 x 0.08).

You can corroborate your result by calculating the q allele frequency in the next generation and summing both of them up. The result should be one.

qB₂= qB₁(1-m)+qA₁ m

qB₂= 0.79 x (1 - 0.08) + 0.57 x 0.08

qB₂= 0.7724

p + q = 1

0.2276 + 0.7724 = 1

For a population to be in Hardy-Weinberg equilibrium, the population must be

Answers

Answer:Not experiencing migration.

Compare the potential energy stored in lipids,proteins, and carbohydrates. In which order does the body look for these molecules as a source of energy.​

Answers

Answer:

carbohydrate,lipids then protein

You are now taking a ride on the Magic School Bus with Ms. Frizzle. This bus is magic because it can go anywhere within the body. Today’s lesson is on Central Dogma. Ms. Frizzle takes your class directly to the nucleus to start your field trip. Since this trip is about the central dogma, what three major cellular process will be involved? Where will you bus be going within the cell during each of these processes? For each process, describe in your own words and in general what is going on?

Answers

Answer:

See the answer below

Explanation:

The trip will involve a bit of stoppage inside the nucleus during which replication and transcription will take place before proceeding to the cytoplasm where synthesized mRNA will become translated into protein.

The central dogma refers to a series of processes during which genetic information in the DNA of a cell is encoded and expressed in living cells. The 3 major steps involved in these processes are:

1. Replication

2. Transcription

3. Translation

Replication involves the synthesis of a double-stranded DNA molecule from a template of another double-stranded DNA molecule within the nucleus. In order words, replication is a process during which a DNA molecule reproduces itself. Each of the strands of the DNA acts as a template for the synthesis of another new strand. Eventually, 2 new double-strand DNA molecules are formed each consisting of one old strand and one new strand.

During transcription, the information contained in deoxyribonucleic acids is encoded and transcribed into another molecule known as the messenger ribonucleic acid. This process happens in the nucleus of the cell.

After transcription and processing of the mRNA produced, the resulting mRNA is then transported to the cytoplasm where, together with the ribosome and transfer RNA, the encoded information becomes translated into protein. Each of the genetic codes in the mRNA is translated to their respective amino acids and the amino acids are linked together by peptide bonds to form a protein.

The protein thorain is encoded by the gene thrL, and thorain is a negative regulator of the thrMN operon. Assume there is no other regulation taking place. Predict the phenotype of a thrL- mutant that encodes a nonfunctional thrL protein.

a. The thrM and thrN genes would be transcribed at higher levels compared to non-mutant.
b. The thrM and thrN genes would be transcribed all lower levels compared to non-mutant.
c. The thrM and thrN genes would not be transcribed

Answers

Answer:

The correct answer is option a, that is, the thrM and thrN would be transcribed at high levels in comparison to non-mutant.

Explanation:

Based on the given information, in the existence of thorain the expression of thrM and thrN will be prevented as thorain functions as a negative regulator. In case, if the gene, which codes for thorain, that is, thrL gets mutated, the coding for the functional thorain would get prevented.  

With the encoding of the non-functional thrL protein, there would be an enhancement in the expression of thrN and thrM genes and it will get transcribed at higher levels in comparison to the non-mutant or the wild-type.  



Which is an example of how the cell membrane of a tube worm maintains a
stable environment?
O A. It communicates with other cell membranes.
OB. It prevents salt from flowing in.
O c. It allows the temperature to change quickly.
OD. It allows large molecules to enter.​

Answers

Answer:

It prevents salt from flowing in.

Explanation:

so the tubeworm's cell membrane prevents minerals from flowing in and salt is a mineral so it won't allow salt to flow in.

Answer:

it prevents minerals in the water from flowing into the cell

Explanation:

APEX

WHEN ARE TREES CARVED UNDER WHICH CONDITIONS CAN IT GROW UP AGAIN?

Answers

Answer:

Explanation:

In critical conditions since when a forest is cut down if it rains the land is not in a condition for trees to flourish since every time it rains you will see a flood devastating any plant that tries to grow.

the procces of filtration occures at the

Answers

Answer:

The process of filtration (or filtrate formation) occurs at the filtration membrane.

Explanation:

The filtration membrane is located at the boundary between the glomerulus and Bowman's capsule.

:)

Other Questions
Use the graph to find estimates of the solutions to the equation x2 + x-6=-2 If a lipid bilayer is at least 108 times less permeable to K ions than it is to water, how do the K ions that are needed for many cellular functions get into the cell Superior Company provided the following data for the year ended December 31 (all raw materials are used in production as direct materials): Selling expenses $ 140,000 Purchases of raw materials $ 290,000 Direct labor ?Administrative expenses $ 100,000Manufacturing overhead applied to work in process $ 285,000Total actual manufacturing overhead costs $ 270,000Inventory balances at the beginning and end of the year were as follows: Beginning of Year End of YearRaw materials $ 40,000 $ 10,000 Work in process ? $ 35,000 Finished goods $ 50,000 ? The total manufacturing costs for the year were $683,000; the cost of goods available for sale totaled $740,000; the unadjusted cost of goods sold totaled $660,000; and the net operating income was $30,000. The companys overapplied or underapplied overhead is closed entirely to Cost of Goods Sold.Required:a. Prepare a schedule of cost of goods manufactured.b. Prepare a schedule of cost of goods sold.c. Prepare an income statement for the year. 8. In the diagram below, angle CAE = 39 . Find the following:) AOCb) OBA Kamu telah terpilih untuk menyertai satu pertandingan pidato antara sekolah-sekolah. Tajuk pidato kamu ialah Kepentingan Menguasai Bahasa Inggeris. Find the approximate side lengths and perimeter of quadrilateral WXYZ. If necessary, round your answers to the nearest hundredth.The approximate length of segment WX is [tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]The approximate length of segment XY is [tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]The approximate length of segment YZ is [tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]The approximate perimeter of quadrilateral WXYZ is [tex]\left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right][/tex] explain the role of the constitution in the expansion of the civil rights in the united states (causation option)**answer in detail for brainliest and 15 points ** PLEASE HELP ASAP! What is the impact of effective purchasing on an operations cash flow? How did the government justify the ChineseExclusion Act?by saying that Chinese immigrants threatenthe safety of the United Statesby arguing that Chinese workers are paid toohighlyby saying that Chinese workers are tooeffective at their jobs Three triangles are shown on the centimetre grid.ABC(a I already did)b)Work out the area of this triangle.Give your answer as a decimal. Explain why no part of the graph[Image Displayed] appears below the x-axis?[Graph Displayed]a.The y-value is always negativec.The y-value is always zerob.The y-value is always positived.The y-value is always 10 has 10 percent coupon bonds on the market with 19 years to maturity. The bonds make semiannual payments and currently sell for 107.8 percent of par. What is the current yield on the bonds? How are Christian and Jewish minorities treated in predominately Muslim countries? In the diagram, what is the measure of angle 1 to the nearest degree? a) 82 b) 92 c) 94 d) 98 Suppose that Spain and Germany both produce rye and olives. Spain's opportunity cost of producing a crate of olives is 5 bushels of rye while Germany's opportunity cost of producing a crate of olives is 10 bushels of rye.By comparing the opportunity cost of producing olives in the two countries, you can tell that_______has a comparative advantage in the production of olives and_______has a comparative advantage in the production of rye. Suppose that Spain and Germany consider trading olives and rye with each other. Spain can gain from specialization and trade as long as it receives more than______of rye for each crate of olives it exports to Germany. Similarly, Germany can gain from trade as long as it receives more than_______of olives for each bushel of rye it exports to Spain. Which of the following prices of trade (that is, price of olives in terms of rye) would allow both Germany and Spain to gain from trade? a. 9 bushels of rye per crate of olives.b. 15 bushels of rye per crate of olives.c. 8 bushels of rye per crate of olives.d. 3 bushels of rye per crate of olives. Solve the system of equations below by graphing both equations with a pencil and paper. y = -3 + 1 and y = -x + 5 HELP YOU WILL GET 30 POINTS Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 pages left to read. How long is the book? _____=pages How long did it take Naoya to read the entire book?______=hours Identify the initial value and rate of change for the graph shown? Simplify -4 -4 -4 BCA DAC and BAC DCA by: the vertical angle theorem.the alternate interior angles theorem.the reflexive property.None of these choices are correct.