When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture, assuming the probability of an individual blood sample testing positive for the virus is 0.03.

Answers

Answer 1

Answer:

The best way to approach this type of problem is to use the "complement method" ...  

P(positive result) = 1 - P(negative result)  

= 1 - (1 - 0.03)^3  

= 1 - 0.97^3 = 0.087327 or 8.7%  

Explanation:

Answer 2

Answer:

[tex]0.087[/tex]

Explanation:

Given -

Probability of positive blood sample for an individual is equal to 0.03

Number of sample is equal to three

Now , probability of getting a positive result for three sample combined into one single mixture is equal to

[tex]1 - (P)^ 3[/tex]

where P represents the probability of getting all individual negative test result

Substituting the given values in above equation, we get

[tex]P_{mixture} = 1 - (1-0.03)^3\\P_{mixture} = 1- (0.97)^3\\P_{mixture} = 0.087[/tex]


Related Questions

The most abundant compound in most living things is

Answers

Answer:

The most abundant compound in most living things is water.

Explanation:

Final answer:

Water is the most abundant compound in most living things, contributing to various functions like transporting nutrients and regulating body temperature.

Explanation:

The most abundant compound in most living things is water. Water makes up about 60-70% of the weight of a typical living organism. For example, in humans, the brain and heart are composed of 73% water, and the lungs are about 83% water. The large amount of water in living organisms contributes to various functions, such as transporting nutrients and oxygen to cells, regulating body temperature, and serving as a solvent in which biological reactions occur.

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Casts and mold are a type of preservation where the original material decays, leaving a mold in surrounding rock that can be filled with another sediment
A. True
B. False

Answers

Answer:

A. True

Explanation:

Casts and molds are a type of preservation where the original material decays.

The answer would be false because if it were true then that would be incorrect

HURRY!!!!!

Benito is doing research on the effects of Florida's elevation on its climate. His notes include the following:

1. The average elevation of Florida is 30 m above sea level.
2. The highest point in Florida is Britton Hill, which is 105 m above sea level.
3. The change in temperature from 0 m to 1,000 m is 7 °C.
What can Benito conclude about the effects of Florida's elevation on its climate?

A.) Florida typically experiences cold temperatures and temperature changes within a narrow range.
B.) Florida typically experiences cold temperatures and temperature changes within a broad range.
C.) Florida typically experiences warm temperatures and temperature changes within a narrow range.
D.) Florida typically experiences warm temperatures and temperature changes within a broad range.

Answers

Final answer:

OPTION C.

Florida generally experiences warm temperatures due to its low average and highest elevations. The change in temperatures is also low, which means a narrow range of temperature variance.

Explanation:

Based on the information provided, Benito can conclude that Florida typically experiences warm temperatures and the temperature changes within a relatively narrow range. This can be inferred from the fact that Florida's average and highest elevations are relatively close to sea level, and therefore, the effect of elevation on temperature would be minimal. As the temperature drop rate is 7°C per 1000 meters, the temperature difference within Florida's elevation range (from 0m to 105m) would be slight.

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Final answer:

Benito can conclude that Florida typically experiences warm temperatures and temperature changes within a broad range due to its low elevations.

Explanation:

Benito can conclude that the effects of Florida's elevation on its climate include warm temperatures and temperature changes within a broad range.

Florida's average elevation of 30 m above sea level and the highest point at 105 m above sea level indicate that the state generally has low elevations. The change in temperature of 7 °C from 0 m to 1,000 m suggests that the temperature changes with increasing elevation. Therefore, Florida typically experiences warm temperatures and temperature changes within a broad range.

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What is the name of the protein found in erythrocytes that transports respiratory gases and provides the red color?

Answers

Answer:

hemoglobin

Explanation:

That would be hemoglobin.

Here’s some info lol:

Hemoglobin is a globular protein made of 4 polypeptide chains(alpha1 and 2, beta1 and 2)(2 types of polypeptide chains) and heme groups. There’s a heme group(which has an iron atom) connected to each subunit so there’s 4. Oxygen attaches to the iron atom so a hemoglobin protein can carry max number of 4 O2.

What is the main sugar used by cells for energy?

Answers

Answer:

The answer is GLUCOSE.

Explanation:

Glucose is the main sugar used by cells for energy. Glucose is derived from the digestion of carbohydrates. In humans, glucose is usually absorbed into the blood from the small intestine, the blood then carry the blood around the body, allowing each cell to have access to the glucose it needs.

If the quantity of glucose in the blood is more than needed per time, the body usually store the excess glucose as glycogen, the glycogen will be turned to glucose and release for cell use when the quantity of sugar in the blood is low. In the absence of glycogen, other macro nutrients such as lipids and proteins can also be converted to glucose via gluconeogenesis when the concentration of glucose in the blood is low.

The cells oxidize the glucose and convert it to energy in form of ATP, which they use to carry out their life activities.

Final answer:

The main sugar used by cells for energy is glucose. It can be stored as glycogen in the body or it is converted into fat if in excess. During cellular respiration, it helps to form ATP, the cells' energy currency.

Explanation:

The main sugar used by cells for energy is glucose. This simple sugar, a monosaccharide, is an important energy source for many organisms. Carbohydrates, such as sugars, are the most common source of energy for the body, broken down during digestion into simpler monosaccharides like glucose and fructose.

Once glucose is in the body, there are a series of endocrine control mechanisms that regulate its concentration in the bloodstream. Excess glucose can either be stored in the liver and skeletal muscles as a complex polymer called glycogen, or it can be converted into fat in adipose cells or adipocytes.

During cellular respiration, energy is released from glucose. This energy helps to form adenosine triphosphate (ATP), which is like the currency that cells use for energy. Photosynthetic plants synthesize glucose using carbon dioxide and water, and the glucose is then used for their energy requirements. Any excess synthesized glucose is often stored as starch, which can be broken down by other organisms that feed on plants.

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Which example describes a mutualistic relationship between organisms?

Young wasps prey on caterpillars.

Crabs eat the remains of dead fish.

Tapeworms feed on food in the intestines of cats

Ants protect a tree on which they feed.

Answers

Answer:

Ants protect a tree on which they feed (Option D)

Explanation:

Mutualistic relationship - relationship between two individuals / species where both involved benefit

A. Predation

B. Predation

C. Parasitism

D. Mutualism

The correct answer would be option D because it demonstrates a mutualistic relationship

6. Which term means "rainy cloud"?
A stratus
B cirrus
c nimbus
Dcumulus

Answers

Answer: Clouds that produce rain and snow are called "Nimbus" clouds.

Example: Two examples are the nimbostratus or the cumulonimbus clouds.

Answer:

c) Nimbus

Explanation:

Stated on the Essay of Modifications of Clouds in 1803 by Luke Howard, there is a special rainy cloud category that combines the three forms of clouds Cumulo+Cirro+Stratus, called 'Nimbus', an ancient Latin word that means Rain or Rain Storm.

The majority of precipitation comes from nimbus clouds, this clouds have the greatest vertical height and tend to appear dark gray because their depth and density of water droplets.

Two pea plants with yellow peas are crossed. Most of their offspring have yellow peas, but about 25 percent of the offspring have green peas. For pea color, yellow is the dominant trait and green is the recessive trait. What does this tell you about the two parent plants?

A. The parent plants have only dominant alleles for pea color.
B. The parent plants are heterozygous for pea color.
C. Pea color follows an incomplete dominance pattern of inheritance.
D. The parent plants are homozygous for pea color.

Answers

Answer:

B. The parent plants are heterozygous for pea color.

Explanation:

If both the parent plants had only dominant alleles for pea color as described in A, all of their offspring would be yellow (dominant). We know that pea color does not follow an incomplete dominance pattern because the question states that yellow is dominant and green is recessive; there is no intermediate mixture of these colors as a trait. If the parents were both homozygous, then their offspring would either be all yellow or all green. If we do a punnett square with 2 heterozygous parents, we will see that one out of 4 (25%) offspring will indeed be green.

Answer:

B. The parent plants are heterozygous for pea color.

Explanation:

What is the term for the programmed death of cells?

a. carcinogen
b. apoptosis
c. cyclin
d. kinase

Answers

the term for the programmed death of cells is apoptosis.

Answer:

Apoptosis

Explanation:

When a cell has become old or is unwanted due to defect, it self destructs via a programmed cell death procedure called apoptosis. This is essential in balancing the fast replacement of newer cells to those that are old or diseased. It occurs through several biochemical steps. The first thing that happens is blebbing of the cell mebrane (buldging out), the cell then shrinks and the nucleus becomes fragmented releasing its contents. There will be condensation of the cnromatin material and the last step is DNA fragmentation. A cell then becomes dead and is picked up by a macrophage for further breakdown.

This type of reproduction produces a new cell or organism that is an exact genetic copy of its parent:

Answers

Answer:

asexual reproduction

Explanation:

Asexual reproduction is a type of reproduction by which offspring arise from a single organism, and inherit the genes of that parent only; it does not involve the fusion of gametes, and almost never changes the number of chromosomes.

Why do people have swollen lymph nodes when they are sick?

Answers

It becomes swollen due to the cause of inflammation

Answer:

More white blood cells are produced.

Explanation:

A friend tells you that he is going on a low-carb diet to lose weight because he thinks that carbs contain more energy than fats or protein. what would you tell your friend about his plan?a friend tells you that he is going on a low-carb diet to lose weight because he thinks that carbs contain more energy than fats or protein. what would you tell your friend about his plan?

Answers

Final answer:

While fats contain the most energy per gram, low-carb diets can lead to significant short-term weight loss. However, it's crucial to maintain nutritional balance and consider the long-term sustainability and health implications of such a diet.

Explanation:

He may be under the misconception that carbohydrates contain more energy than fats or protein. In actuality, fats contain the most energy at about 9 calories per gram, while carbohydrates and proteins both contain about 4 calories per gram. However, there is some merit to a low-carb diet for weight loss.

Research has shown that low-carbohydrate diets, like Atkins or keto, can lead to significant weight loss, sometimes more so than low-fat diets or those higher in carbs. This is in part because low-carb diets can reduce appetite, leading to a lower calorie intake without the need for calorie counting.

One critical aspect to consider is the nutritional balance and sustainability of this diet. A diet rich in protein and low in carbohydrates can be low in calories if food choices are limited, which may not be sustainable in the long term. It's also important to ensure that by cutting carbs, your friend doesn't miss out on other vital nutrients.

Lastly, studies indicate that while low-carb diets may offer quick results for weight loss initially, their long-term efficacy and health benefits compared to other balanced diets are still under debate. Encouraging a balanced diet including carbohydrates, proteins, and fats alongside a healthier lifestyle might be more beneficial over the long term.

Specific heat is the amount of heat required to raise the temperature of a material by 1°C per what unit?
A. volume
B. joule
C. mass
D. pressure
E. density​

Answers

Answer:

The answer would be C: Unit of Mass

Answer:

C. mass

Explanation:

Specific heat is defined as the amount of heat energy required to elevate the temperature of a material by  1°C  per unit mass.

It is a physical property of a material. The standard international unit of heat capacity is joule per kelvin per kilogram (J/K/Kg).

If a substance has a high specific heat then it simply means that it will take very long to get heated but once heated it will take very long time to cool down either.

Water has highest specific heat.

Which of the following is NOT a true statement about the papillary layer of the dermis: a. it is highly vascular b. it is the deepest layer of the skin c. it is located immediately beneath the epidermis d. it produces the pattern for fingerprints it contains nerve endings that respond to touch and temperature stimuli

Answers

Answer:

b.it is the deepest layer of the skin

Explanation:

The skin is a protective layer that covers all the body. It consists of three layers: epidermis, dermis and hypodermis.

The statement indicating that "the papillary layer of the dermis is the deepest layer of the skin" is not TRUE (Option C).

The epidermis is the outermost layer of skin, which consists of keratinized epithelial cells.

The dermis is the middle layer of the skin.

The hypodermis is the subcutaneous fat layer beneath the dermis.

In conclusion, the statement indicating that "the papillary layer of the dermis is the deepest layer of the skin" is not TRUE.

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The carrier molecules of the electron transport system are located in the

Answers

Answer:

Inner mitochondrial membrane

Explanation:

Inner membrane of the mitochondrion.

Select the correct answer. A chestnut-colored horse mates with a white-colored horse to produce a brown and white spotted offspring. What is the type of inheritance pattern?

Answers

Answer:

codominance

Explanation:

there is no blending of the two colours, both are shown equally and expressed in the proper colours not blended therefore they are both dominant and it is codominance

Answer:

codominance

Explanation:

Codominance is a situation where the alleles of a gene are active, that is, there is no dominance relationship between them, so the two alleles are expressed, as is the case with the horse shown in the question above.

Generally, in the formation of a phenotype, one allele stands out against the other (remember that every gene is formed by a pair of AA, Aa or aa alleles). For the father's eye color to be repeated in his son, for example, it is necessary that the gene that determines this characteristic has a dominant allele. The other allele of this gene in the child will be the recessive allele. It happens, in some cases, that the two alleles (recessive or dominant) have the same dominance relation over each other and there is a mixture of phenotypes of both. A beautiful example of this mixture is the birth of horse species with a spotted coat.

Which lipid consists of two fatty acid chains and a phosphate group?

Answers

Answer:

Phospholipids consist of a glycerol molecule, two fatty acids, and a phosphate group.

Explanation:

Please mark brainliest and have a great day!

Answer:

Phospholipids consist of a glycerol molecule, two fatty acids, and a phosphate group that is modified by an alcohol. The phosphate group is the negatively-charged polar head, which is hydrophilic. The fatty acid chains are the uncharged, nonpolar tails, which are hydrophobic.

Explanation:

when is the diploid number restored to the zygote?
A.when the male and female haploid cells combine
B.when the male and female diploid cells combine
C.after the zygote is replicated
D.when the two zygotes develop into a haploid cell

Answers

Answer:

During sexual reproduction, fertilization of the ovum (n, 23 chromosomes) by the sperm (n, 23 chromosomes) restores the diploid number and creates a zygote (2n, 46)

when the male and female haploid cell combine

The answer would be A.

Haploid is n. When male and female gametes(haploid cells) combine they form a diploid cell(2n, zygote).

When an individual stops breathing, brain cells die very quickly, but the cells in the heart are able to survive for longer. Which conclusion is best supported by these facts?

Answers

Answer:

because the blood in the heart gets what's left of oxygenated blood first. first come first serve concept. the heart cells survive longer because they have oxygenated blood longer and more frequently. if the person is not breathing the oxygen in the blood might run out by transferring to cardiovascular cells before it gets to the brain.

Explanation:

Consider the following process;

1. Sensory nerves signal that you are hungry.

2 You eat.

3. Food is broken down into nutrients.

4. Nutrients enter your blood.

Which of these body system does not work with your nervous system in this process?

A. The Digestive System

B. The Muscular System

C. The Skeletal System

D. The Immune System

Answers

Final answer:

In the process of digesting food, the Immune System does not work directly with the nervous system; the Digestive, Muscular, and Cardiovascular systems do.

Explanation:

When considering the process of feeling hunger, eating food, digesting it, and absorbing nutrients, several body systems work in conjunction with the nervous system. The Digestive System breaks down food into nutrients. The Muscular System is involved in the physical act of eating and the movements required for digestion. The Cardiovascular System is essential for delivering the absorbed nutrients to cells throughout the body. Among the options provided, The Immune System is the one that does not directly interact with the nervous system in this digestive process.

Therefore, the correct answer is D. The Immune System.

An acute staphylococcal infection with blister-like lesions containing millions of virulent bacteria is known as

Answers

Answer:

Impetigo.

Explanation:

Impetigo is the condition caused by bacterial infection and shows yellow crust  on the patient's arms, legs and face. Antibiotics are useful in the treatment of impetigo.

Impetigo is caused by the bacteria Staphylococcus aureus. Acute infection with bacteria can cause large blister like lesions in the armpits or groin. These lesion contain millions of virulent bacteria.

A scientist is studying muscle twitches in chicken quadriceps. to activate the muscle, he needs to provide stimulus to the _________.

Answers

Answer:

The answer to this question is "Motor Unit"

In which area of the neuron is an action potential initially generated?

Answers

Answer:

(C). Membrane potentials above threshold at the hillock will open voltage-gated Na+

Explanation:

Final answer:

The action potential in a neuron is initially generated in an area called the axon hillock, which integrates incoming signals and decides whether or not to fire an action potential.

Explanation:

The action potential in a neuron is initially generated in an area called the axon hillock. This part of the neuron is responsible for integrating incoming signals from synapses and deciding whether or not to fire an action potential. As the action potential travels down the neuron's axon, it stimulates other neurons and continues the cycle of information transmission. For instance, when you touch a hot surface, the sensation is relayed as action potentials from the sensory neurons in your finger all the way to your brain.

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A doctor notices that a patient is having difficulty absorbing nutrients. Which area in the diagram of the alimentary canal above is the likely location of the problem?
A) A the mucosa
B) B the mucosa
C) C the serosa
D) D the serosa

Answers

Answer:

I think that the answer is A

A patient is having difficulty absorbing nutrients. A) A the mucosa

A condition called malabsorption syndrome means your body isn't able to take in many of the nutrients from the food you eat. This digestive problem can lead to symptoms such as bloating and diarrhea.

What is it called when can't absorb nutrients?

Malabsorption is difficulty in the digestion or absorption of nutrients from food. Malabsorption can affect growth and development, or it can lead to specific illnesses. Some of the causes of malabsorption include: Cystic fibrosis (the number one cause in the United States) Chronic pancreatitis.

What causes body to not absorb nutrients?

Factors that may cause malabsorption syndrome include: damage to the intestine from infection, inflammation, trauma (injury), or surgery. prolonged use of antibiotics. other conditions such as celiac disease, Crohn's disease, chronic pancreatitis, or cystic fibrosis.

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Which of the following describes what happens in the second step of photosynthesis?

A.Electrons bond hydrogen atoms to oxygen molecules to form a carbohydrate molecule.
B.Electrons bond hydrogen atoms to carbon dioxide molecules to form a carbohydrate molecule.
C.Electrons bond hydrogen atoms to carbon monoxide atoms to form a carbohydrate molecule.
D.Electrons bond hydrogen atoms to carbon dioxide atoms to form a carbohydrate molecule.

Answers

Answer:

B. Electrons bond hydrogen atoms to carbon dioxide molecules to form a carbohydrate molecule.

Explanation:

In the second step of photosynthesis electrons bond hydrogen atoms to carbon dioxide molecules to form a carbohydrate molecule.

The second phase of photosynthesis takes place in the stroma. Six carbon dioxide molecules enter the cycle and bond with hydrogen atoms to produce one molecule of glucose or sugar.

Which of the following is true? Select one: a. More ATP is generated from the metabolism of a glucose molecule than a fatty acid molecule b. More ATP is generated from the metabolism of an amino acid molecule than a fatty acid molecule c. More ATP is generated from the metabolism of a fatty acid than a glucose molecule d. The metabolism of a fatty acid molecule, glucose molecule, or amino acid molecule generates the same amount of ATP. e. The metabolism of a fatty acid molecule and glucose molecule generate the same amount of ATP, but an amino acid molecule generates less ATP

Answers

Answer:

The only true statement in the options given is this: MORE ATP IS GENERATED FROM THE METABOLISM OF A FATTY ACID THAN A GLUCOSE MOLECULE.

Explanation:

Glucose is the primary source of fuel for the living cells. Cells break down glucose to obtain energy which they use to carry out their life activities. The other major macro nutrients apart from glucose are fatty acids and proteins. When glucose is not available for cells' use, fatty acid and protein can be converted to glucose through the process of gluconeogenesis.

All though all the three macro molecules can produce energy, fat is the one that produce the highest amount of energy; each gram of fat supplies about 9 calories while glucose supply 4 calories and protein supply less than 4 calories.

Thus, more ATP is generated from the metabolism of fatty acid than a glucose and protein molecules.

What does a biological community consist of? A. All of the different population of species in one geographic area
B. The biotic and abiotic items in the ecosystem
C. The water and carbon cycle
D. Phototrophs and autotrophs

Answers

Answer:

I believe the answer is

B. The biotic and abotic items in the ecosystem.

                                     OR

A. All of the different population of species in one geographic area.

Explanation:

Biological community consisting of living organisms in different locations. For example, a forest trees and undergrowth plants, inhabited by animals and rooted in soil containing bacteria and fungi, constitutes a biological community.

A biological community consists of the biotic and abiotic items in the ecosystem.

What is biological community?

The term "biological community" refers to a group of variables that includes both biotic and abiotic variables. The biological community is defined by the way the two components interact.

Trees, rocks, and soil are examples of abiotic factors that interact with biotic factors like plants and animals. The biological community functions in this manner.

Ecological succession is the process by which a population gradually alters its genetic composition. The community is therefore dynamic since it evolves over time. Communities can be huge with many species populations or tiny with few species.

Their interactions, known as interspecific interactions, have an impact on a community's composition, distribution, and abundance, or the quantity of each species present.

Thus, we can conclude that option B is correct.

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what do we call the process when two dominant alleles are expressed and do not blend?
A.incomplete dominance
B.codominance
C.multiple alleles

Answers

Answer:

Co-dominance

Explanation:

Co-dominance is when two alleles are expressed and do not blend. Such as a Roan cow. When a red cow and white cow try to populate it can develop a cow with red and white spots also known as Roan

Mosquitoes can often transmit viruses from one organism to another, acting as _______ of the virus.

A. parasites
B. symbionts
C. vectors
D. bacteriophage

Answers

Answer:

the answer is c

hope this helps! :)

Mosquitoes can often transmit viruses from one organism to another, acting as vectors of the virus.

The term life cycle includes the entire process of:

adults defending their young
providing a conducive environment
adults producing gametes
fertilization
the growth of the offspring to adulthood

Answers

Answer:

The term life cycle includes the entire process of: the growth of the offspring to adulthood

The answer would be the last choice :)
Other Questions
PLEASE RESPOND ASAP!!!! 10 POINTS!Amerigo grew up speaking both English and Italian with his family, and he believes that knowledge of more than one language is a valuable tool. He also believes that the best way to introduce students to a new language is in small groups or in one-on-one conversations. However, his sons high school offers only one introductory Italian class, which is usually filled with more than 30 students.Who could Amerigo work with to help provide one-on-one Italian instruction for students?A) Amerigo could work with instructional designers, publishers, and public university administrators to provide the books, online resources, and language expertise to the schools Italian teacher.B )Amerigo could work with school administrators, the principal, and private tutors to find the time, money, and classroom space for tutors to give after-school Italian lessons.C) Amerigo could work with the Italian teacher, instructional coordinators, and school librarians to organize an area in the library that is filled with books about Italy and Italian literature.D) Amerigo could work with the state and local government and school district administrators to create a program in which high school students are required to take more than one language class. the study of interaction between living organisms and their enviroment is called (a) phytogeography (b) ecology (c) phytosociology (d) ecosystem a rational expression has been simplified below. (x-5) (x+1)/3(x+1) = x-5/3 for what values of x are the two expressions equal Match the key aspect of a functions graph with its meaning. A square pyramid is 6 feet on each side. The height of the pyramid is 4 feet. What is the total area of the pyramid?60 ft2156 ft296 ft2120 ft2 The de broglie wavelength of an electron with a velocity of 6.00 106 m/s is ________ m. The mass of the electron is 9.11 10-28 g. 11.22x 200 < 347.96solve for x 4.A State statute empowered public school principals to suspend students for up to ten days without any notice or hearing. A student who was suspended from a public school for ten days challenges the constitutionality of his suspension on the ground that he was denied due process. Was due process denied? Explain. Read the passage below and answer the question.The old man was known for his probity. He was considered incorruptible.Using context clues, how would you define the meaning of the word probity in the passage?curiositydrunkennessintegritycorruptibility If a radius of a circle bisects a chord, then it isto that chordOA. parallelOB. adjacentOC. perpendicularOD. congruentSUBMIT 20.JuInces.Which ordered pair is a viable solution if x represents thenumber of books he orders and y represents the totalweight of the books, in ounces?(-3,-18)(-0.5, -3)(0,0)(0.5, 3) The countries of Ethiopia, Eritrea, Djibouti, and Somalia have strategic value to countries such as France because they _____.are located near Southwest Asian oil supplies and important shipping lanescontain large deposits of uraniumare located between North and South Africaare the only democracies in Africa Write a function for a rotation 90 degrees counter clockwise about the origin, point 0 A 50-foot ladder is leaning against a vertical wall. If the base of the ladder is 45 feet from the base of the wall, find the angle the bottling of the ladder makes with the ground. The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where xrepresents the cost of a ticket. How much is one ticket?$3.00 In terms of x, find an expression that represents the area of the shaded region. The outer square has side lengths of (x+5) and the inner square has side lengths of (x-2), as shown. A wheel rotates without friction about a stationary horizontal axis at the center of the wheel. A constant tangential force equal to 82.0 N is applied to the rim of the wheel. The wheel has radius 0.150 m . Starting from rest, the wheel has an angular speed of 12.8 rev/s after 3.88 s. What is the moment of inertia of the wheel? Which were Lenins actions before and during the Russian revolution The graph of the function f(x)= 6/x-3 is shown below. (look below)What is the vertical asymptote of the function?x = 3x = 2x = 0x = 3 what is the quotient of -3/8 and negative 1/3