Answer:
t(n) = 3·5^(n-1)
Explanation:
The recursive formula describes a sequence in which each term is 5 times the one before it. This is a geometric sequence with common ratio 5 and a first term that is said to be 3.
As you know, the generic formula for a geometric sequence is ...
an = a1·r^(n-1)
For a1 = 3, r = 5, and a sequence named "t", this is ...
t(n) = 3·5^(n-1)
Answer:
t(n) = 3·5^(n-1)
Explanation:
im guessing this may not be right...
When does the total number of chromosomes get reduced from 46 pairs to 23 individual chromosomes? View Available Hint(s) When does the total number of chromosomes get reduced from 46 pairs to 23 individual chromosomes? during metaphase II during mitosis during interphase during meiosis I
Answer:
23 pairs of chromosomes (46 individual chromosomes) are redued to 23 individual chromosomes in meiosis I.
During Meiosis I
Explanation:
Meiosis is a type of cell division that results in four daughter cells with each having half the number of chromosomes as in the parent cell. During meiosis, cell division occurs twice because before the two halves of a duplicated chromosome (sister chromatids) is separated, it still needs to separate homologous pair of chromosomes, which is a similar but non-identical pair of chromosomes received from both parent. Hence, meiosis occurs in a two step division process; Meiosis I and Meiosis II.
Note that, a diploid cell contains 23 pairs of chromosomes ( 46 chromosomes in total). Each pair of chromosome is from the haploid gamete produced by each parent after meiosis.
Before going into meiosis I, the cell must first undergo growth and replicate its DNA in the interphase stage just like in mitosis. In the Prophase I of meiosis I, chromosomes condense as in mitosis but also pair up. Each chromosome aligns with its homologue pair to form a structure called TETRAD or BIVALENT.
Homologous pairs, not individual chromosomes (23 pairs in number) line up at the metaphase plate for separation during metaphase I.
In anaphase I, the homologues are pulled apart by the spindle fibres and move apart to opposite ends of the cell. The sister chromatids of each chromosome, however, remain attached to one another and don't come apart. Hence, the cell now has 23 chromosomes on one side of the cell, and another 23 on the other side.
After cytokinesis (division of the cytoplasm) in meiosis I, two daughter cells are produced and each now possesses 23 individual chromosomes (haploid) different from the parental 23 pairs (diploid).
N.B: Sister chromatids separate in the anaphase of meiosis II, where each chromatid is counted as an individual chromosome.
After Brian loses his third job in a year, his wife tells him that she wants a divorce. Brian becomes deeply discouraged, demonstrates a loss of self-esteem, and has no energy to find a job or leave his house. He sleeps several hours a day and eats very little. Brian is suffering from
Answer:
depression
Explanation:
i honestly don't mean this in a rude way, but the answer to this question should be pretty obvious. try to do your homework on your own, it will really pay off in the long run. believe me, midnight cramming for exams isn't the way to go :/
Brian is showing signs of a major depressive disorder, similar to other examples of mood disorders, indicating the need for professional mental health support.
Brian appears to be suffering from symptoms that are characteristic of a major depressive disorder. This includes experiencing a significant loss of self-esteem, a marked decrease in energy, altered sleep patterns such as sleeping excessively, changes in appetite, and a lack of motivation to engage in previously normal activities or seek employment. These symptoms align with those mentioned in various scenarios suggestive of potential mood disorders. It is crucial for individuals showing such signs to seek professional mental health support as depression is a serious condition that requires appropriate intervention.
The borrowing of cultural traits and patterns from other cultures is a concept in anthropology known as:_______
Answer:
Diffusion
Explanation:
One of the concepts of anthropology is Diffusionism. According to this concept, different cultures and religions exchange their traits and characteristics and thereby promote spreading of culture from one society to the other. Infact any culture which starts moving from its region of origin to any other place leads to diffusion of culture and traits through migration, war, trade etc.
Affinity chromatography can be used to purify proteins such as growth factor receptors. The ligand of the growth factor receptor can be linked to resin, and then an extract containing membrane proteins can be poured over the resin. If a high concentration of free ligand were poured over the resin next, what would you expect to happen?
Answer:
If a high concentration of free ligand were poured over the resin next, the growth-factor receptor will be released from the resin since the excess ligand competes with ligand attached to the resin.
In affinity chromatography, adding a high concentration of free ligand would elute the protein from the column as it competes with the immobilized ligand for binding to the protein.
In affinity chromatography, a specific ligand for a protein of interest is covalently linked to an inert resin within the column. When a solution containing the protein is passed through the column, the target protein binds to the immobilized ligand due to specific affinity. If a high concentration of free ligand is poured over the resin next, one would expect the protein to be eluted from the column. This happens because the free ligand competes with the immobilized ligand for binding to the protein, reducing the affinity of the protein for the resin, allowing it to be washed out of the column.
Plasmids are used as vectors in both plant and bacterial recombinant DNA technology. However, there is a major difference in the fate of genes introduced into bacteria on most bacterial plasmids and into plants on Ti plasmids. What is this difference?
Answer:
DNA carried on bacterial plasmids are generally not integrated into the genome. The DNA carried on Ti plasmids are usually integrated into the plant genome, meaning the genes are stably expressed
Explanation:
A single strand of the T-DNA from the Ti plasmid enters the plant cell through a transport channel and into the nucleus, where it is integrated into the plant's DNA. In contrast, the DNA introduced into bacteria on bacterial plasmids remains extra-chromosomal
Which oxytocic drug may help to control uterine bleeding post-delivery and promote milk ejection?
Answer:
Oxytocin is the correct answer.
Explanation:
Oxytocin is a hormone that is released by the pituitary gland and it helps to stimulate the contraction during the labor and it reduces and controls the uterine bleeding.Oxytocin is also called a love hormone as it is responsible for human responses associated with bonding and relation.Breastfeeding excites the release of the oxytocin from the brain and it provides the baby to get the breast milk from breasts.Read the excerpt from the writings of Andrew Carnegie and answer the question.
How did the argument presented by Carnegie compare to his business practices?
Group of answer choices
Carnegie argued in the excerpt that only businesses run by the wealthy are likely to succeed, but as a business owner he promoted employees based solely on performance rather than background.
While Carnegie outlined the importance of philanthropy in the excerpt, he utilized monopolistic strategies as a business owner that negatively impacted small business and consumers.
As noted in the excerpt, Carnegie was a strong proponent of philanthropy and as a businessman he worked to keep prices low for his products for the benefit of average Americans.
The excerpt details Carnegie's belief that immigrants and the poor are often among the most hardworking individuals in a society, yet asa business owner he implemented restrictive hiring processes.
Answer:
Option C, As noted in the excerpt, Carnegie was a strong proponent of philanthropy and as a businessman he worked to keep prices low for his products for the benefit of average Americans.
Explanation:
Carnegie strongly believed that within the society exists wealth inequality and in order to curb this issue all wealthy businessmen must use their surplus income for the betterment of others. He urged all the rich business men to carefully use their wealth to reduce the stratification between the rich and poor and hence it is the responsibility of businessmen to curb this difference by keeping the price of their commodities at a lower price.
Hence, option C is correct
Argument are made so as to pass out some vital information. The argument presented by Carnegie compare to his business practices is that while Carnegie outlined the importance of philanthropy in the excerpt, he utilized monopolistic strategies as a business owner that negatively impacted small business and consumers.
The gospel of wealth was written by Andrew Carnegie. It was firsed callled “Wealth”. It was published in the North American Review in June 1889.
Andrew Carnegie’s believed so much in giving wealth away during one’s sojourn on earth and the book above includes some of his famous quotes.
His messages still rings a bell and inspire people all over the world. It pushes people to always give and not be greedy.
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Fred is afraid to leave his house, and he is extremely apprehensive every time he has to go out in public. Fred is most likely to be diagnosed with which type of disorder?
Fred is most likely to be diagnosed with a specific phobia, an anxiety disorder characterized by an intense fear and avoidance of certain objects or situations.
Explanation:Fred is most likely to be diagnosed with an anxiety disorder, specifically a specific phobia. Specific phobias are characterized by an intense fear and avoidance of certain objects or situations. In Fred's case, his fear of leaving his house and apprehension when going out in public indicate a specific phobia.
It is important to note that specific phobias can be treated with therapy, such as cognitive-behavioral therapy (CBT), and medication if necessary. Seeking professional help from a mental health professional would be beneficial for Fred to address and manage his anxiety disorder
The membrane has open K channels, and changing extracellular K concentration results in a change in membrane potential. Changing the extracellular Na concentration does not significantly change the membrane potential. What do your results suggest about the number or state (open or closed) of Na channels in the resting membrane of a neuron?
Answer: Closed
Explanation:
At resting membrane potential( RMP) sodium channels remained shut, this is because , previously in depolarisation,the voltage gated sodium channels were opened for sodium to diffuse into the Axon. However these channels closed after reaching their refractory period,s.
Therefore a change in the extracellular concentration of sodium will not open them
In the ABO series, the gene for blood type O is , while A and B are genes, and AB is .
Answer:
Gene for blood type O is recessive
Gene for blood type A and B is dominant
Gene for blood type AB is neither dominant nor recessive but a form of co-dominance
Explanation:
In the ABO blood group,
A and B are dominant genes, O is recessive genes.
So the different genotype and its corresponding phenotype is as follows –
Genotype Phenotype
AO A
BO B
AB AB
AA A
BB B
OO O
Hence, the two alleles AB occur and express together. Therefore, AB blood group is an example of co-dominance.
Blood type also varies with the presence of Rh factor. If Rh factor is present, the blood type will represented with a “+” symbol. And if Rh factor is absent, the blood type will be represented by “-“symbol.
Blood type O results from two recessive O alleles; blood types A and B result from dominant A or B alleles, respectively. Blood type AB exhibits codominance, where both A and B antigens are displayed on red blood cells.
Explanation:In the ABO blood group system, the gene for blood type O is recessive, while the A and B genes are dominant, and the phenotype AB results from codominance. Individuals with blood type O must inherit two recessive O alleles, one from each parent. A person with the genotype AO will exhibit the phenotype of blood type A, while someone with the genotype BO will have blood type B. The ABO alleles demonstrate Mendelian inheritance patterns, where individuals with both an A and a B allele will have blood type AB, showing both antigens on the surface of their red blood cells because of codominance.
Kevin has been experiencing difficulty urinating now that he is over the age of 60. The doctor examines his prostate gland and finds no evidence of inflammation. Furthermore, Kevin's PSA test is normal. It is most likely that Kevin is suffering from
Answer:
It is most likely that Kevin is suffering from benign prostatic hypertrophy.
Explanation:
Benign prostatic hyperplasia (BPH): it's also known as prostate enlargement and it's noncancerous. It's a noncancerous increase in size of the prostate gland.
It can be caused by:
Urinary tract infection, inflammation of the prostate (prostatitis), Narrowing of the urethra (urethral stricture), Bladder or kidney stones e.t.c.
In which process do some macromolecules get assembled from smaller components and other macromolecules get degraded to yield energy?
Answer:
Digestion including hydrolysis
Explanation:
In the process of digestion, bigger food molecules are broken down into smaller macro molecules. These macro-molecules in later stage are absorbed or accumulated by cell and further broken down to release energy. It is during the process of hydrolysis,
Where big macro-molecules are broken into smaller polymers and further into monomers thereby releasing energy. This chemical process is assisted by an enzyme in the presence of water molecules.
A family has two children. M represents male, and F represents female.What is the sample space for the gender of the children?
A) {F, M}
B) {FM, FF, MM, MF}
C) {FF, MM}
D) {MF, FM}
Answer: There are four (4) possible outcomes; {FM, FF, MM, MF}
Explanation: Sample space can be defined as the set of all possible outcomes or results of an experiment or random trial. The size of the outcomes constitutes the number of elements present in the space and this is called Sample size.
Since the question involves two children, there are four possible outcomes for the gender. The two children of the family could be in the following formations;
1. Female - Male
2. Female - Female
3. Male - Male
4. Male - Female
Hence, the sample space will be {FM, FF, MM, MF}
The initial stage where a perceived threat or danger is experienced. This is when physiological reaction occurs that includes heightened energy and/or facial expressions of fear or tension. You may also experience shallow breathing with perspiration and accelerated heart beat. Which stage of the General Adaptation Syndrome (GAS) is this?
Answer: Alarm reaction stage
Explanation:
The General Adaptation Syndrome (GAS) is the 3- stage body response to stress conditions. The three stages include
1) Alarm reaction stage
2) Resistance stage
3) Exhaustion stage
Note that the Alarm reaction stage consist of arousal by the autonomic nervous system, where several involuntary responses such as sweating, tension, raised breathing etc are observed due to hormones released.
Infections arising from the periapical region of the mandibular first premolars perforate through the lingual cortex to theA- Pterygomaxillary spaceB- Submental spaceC- Sublingual spaceD- Submandibular space
Answer:
The correct answer is option C- "Sublingual space".
Explanation:
If an infection perforate from he mandibular first premolars through the lingual cortex, it is very likely that it continues is way into the sublingual space. The infections located at the sublingual space are often bacterial infections that comes precisely from the floor of the mouth. If an infection goes into the lingual cortex, it will often go to the tissue under the tongue at the sublingual space.
Answer:
C- "Sublingual space"
Advances in biotechnology have made it possible for scientists to synthesize human insulin.
a) True
b) False
Answer: a. True
Explanation:
Artificial human insulin is the advancement of the field of biotechnology. It is the product of recombinant DNA technology. The insulin is a hormone which is secreted by the pancreas to maintain the levels of sugar in the blood. But in some people the secretion of insulin can be found to be low or no insulin is produced at all these are affected by the condition called as diabetes. Thus artificial or synthetic insulin was invented to regulate the blood sugar levels. The artificial insulin is produced in the microbes like yeast and bacteria. The human gene encoding for the production of insulin is inserted into the microbial genome which produces the insulin in the microbial structure.
Answer: True
Explanation:
It is the advancement of the biotechnology that the scientist have made it possible for the scientists to synthesize human insulin.
The fragment of gene responsible for the insulin production is incorporated in the bacterial DNA.
The bacterial DNA replicates and the insulin producing DNA fragment of the human beings also gets replicated with the bacterial DNA.
Hence, this is how the insulin production of human beings takes place by the help of biotechnology.
Aseptic technique is employed to maintain asepsis. Aseptic technique is an important component of infection prevention that is used to:
Answer:
Is used to prevent contamination from pathogens.
Explanation:
Pathogens are disease causing organisms. In a clinical setting or even in the laboratory, a person has to use the strictest means of disease prevention and even re-infection (for patients). Aseptic technique is important to protect yourself, other workers and patients from infection and from the spread of pathogens. It effectively maximizes the presence of pathogens and totally eliminate them. This is possible from simple measures like using your PPE which must all be sterile. From your gloves, gowns etc to your equipments used during any procedure. Also disinfection of your work place is important too either by concurrent disinfection or intermittent disinfection.
All species are capable of producing more offspring than their environment can support.
1. True
2. False
Answer:
True
Explanation:
Reproduction is one of the essential characteristics of all living beings. However, if they reproduce to their full capability, the number of offspring would be higher than the available resource. Due to this reason there is always shortage of resources and hence competition arises among the species.
The fit species survive among all the competing species while the remaining weak species die. As Darwin also said that species have the ability to reproduce uncontrollably therefore, competition among the species for survival is a mode of population regulation
Hence, the given statement is true
A researcher found a method she could use to manipulate and quantify phosphorylation and methylation in embryonic cells in culture. In one set of experiments, she succeeded in increasing acetylation of histone tails in the chromatin of the cells. Which of the following results would she most likely see in these cells?
A) increased chromatin condensation
B) decreased chromatin condensation
C) decreased binding of transcription factors
D) inactivation of the selected genes
Answer:
B) decreased chromatin condensation
Explanation:
The addition of acetyl groups to the histone tails results in a less packed state of chromatin. The acetylation of multiple Lys residues in the amino-terminal domains of histones H3 and H4 reduces the affinity of the entire nucleosome for DNA. It occurs since acetylation reduces the total positive charge present on histone proteins. Histone proteins are positively charged and pack the negatively charged DNA around them. Therefore, increased acetylation results in decreased condensation of chromatin. The loosely packed DNA is accessible by RNA polymerase and transcription factors for gene expression.
Genetically modified foods are derived from organisms with the _____ modified in some way that does not naturally occur.
Answer:
The correct answer will be - DNA
Explanation:
The genetically modified food is the food crops produced by the modification of the genetic material or DNA of the organism.
Since the foods are produced by the modification of the genetic material which is DNA in almost all organisms therefore the foods are known as genetically modified organisms.
The modification includes the insertion and incorporation of the selected genes into organisms like resistance to stress conditions through vectors.
Thus, DNA is the correct answer.
Genetically modified foods come from organisms whose genomes have been artificially altered through genetic engineering, a process that includes the use of recombinant DNA technology to insert foreign genes. These genetically modified organisms (GMOs) often exhibit desirable traits such as disease resistance and improved nutritional value. Extensive testing is done to ensure their safety and minimal impact on the environment.
Explanation:Genetically modified foods are derived from organisms with their genomes artificially altered in ways that do not naturally occur. This artificial alteration is achieved by a process called genetic engineering, involving the use of recombinant DNA technology. Organisms receive foreign DNA in the form of recombinant DNA vectors generated through molecular cloning, making them genetically modified organisms (GMOs).
Significant examples of these include transgenic plants like corn, potatoes, and tomatoes, which were among the first crop plants to be genetically engineered. These GMOs exhibit desirable traits including disease resistance, herbicide and pest resistance, and improved nutritional value. It's important to note that, since these organisms are not naturally occurring, they undergo extensive testing to assure their safety for human consumption and ecological stability.
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The _____ bisects the body into right and left sides.
a. axial plane
b. transverse plane
c. sagittal plane
d. frontal plane
Answer: sagittal plane
Explanation: sagittal plane is one of the body planes,the others are coronal and transverse.
The sagittal plane divides the body into left and right portions.
Dividing the body into plans is important in the study of anatomy as it helps in precision of the part of the body under consideration and it prevents errors.
All of the statements about Roosevelt’s group of advisers known as the ""Brains Trust"" are true EXCEPT what ?
Answer:
the "Brain Trust" believed that large corporations needed to be directed by the government.
Explanation:
The term Brain Trust has a wider application know and it is attributed to the people who are trained in a particular field and advice decision-makers in their area of expertise. However, the term is more popularly known for the group of informal advisers of Franklin Roosevelt who worked closely with the President to shape the policies and programs during his term. And the idea that the "Brain Trust" believed that large corporations needed to be directed by the government was not advocated.
Your partner informs you that he believes the 90-year-old male you are caring for is dehydrated. What signs or symptoms best reinforces his suspicion of dehydration?
Answer:
Dark yellow ,small volume pea.
Infrequent pea.
Dry mouth and tongue.
Sunken eyes.
Dehydration is a condition in which the rate at which the body looses t fluids is higher than the rate at which it takes fluids in.
It is caused by diarrhoea( watery stools )
2.Excessive sweating.
3 vomiting continusly.
4. No access to water intake
5.Polyuria(excessive urination)
6.Fever leading to hyperthermia.
The kidney is the main organ where the effect of dehydration is managed . As a result of increase in the solute potential of the blood,;the hypothalamus secrets ADH hormones which stimulates the Aquaporins(transmembrane proteins in the collecting duct and the distal convoluted tubules) to open .Therefore water moves in by osmosis to reduce the higher solute potential of the blood. Therfore low volume,high concentrated urine is produced.
This homeostatic function of the kidney ensures balanced in the electrolyte fluids of the body to manage dehydration,before medical intervention.
Explanation:
Scarlet gilia (Ipomopsis aggregata) usually has red flowers in an inflorescence of up to 250 flowers. In certain populations in the Arizona mountains, however, the flowers range from red to pink to white. In early summer, most of the flowers were red. Six to eight weeks later, the same individual plants were still present; the flowers ranged from pink to white, and few red flowers were present. The major pollinators early in the season were two species of hummingbirds active during the day; they emigrated to lower elevations, and the major pollinator later in the season was a hawk moth (a type of moth). The hawk moth was most active at sunset and later, and it preferred light pink to white flowers after dark. When hummingbirds were present, more red flowers than white flowers produced fruit. When only hawk moths were present, more white flowers produced fruit (K. N. Paige and T. G. Whitham. 1985. Individual and population shifts in flower color by scarlet gilia: A mechanism for pollinator tracking. Science 227:315-17).
Refer to the paragraph on scarlet gilia. What is the significance of measuring fruit production?
A) It is a measure of pollination success.
B) It is an indication of predation on the seeds of the plants.
C) It is easier than counting flowers.
D) It is a measure of seed dispersal success.
Answer:
B) It is an indication of predation on the seeds of the plants.
Explanation:
Because the coloring of the flowers is linked with day and night which in turn is linked with the predator who is collecting seeds and pollinating flowers.
In which of the following vessels does the vital exchange take place and also has the thinnest walls through which oxygen, nutrients, and wastes can pass?
A. Capillaries
B. Microvenules
C. Arterioles
D. Veins
In the body, protein buffers are very important in __________.a. defending the body against bacteria and toxins. b. maintaining acid-base balance in the body. c. accelerating chemical reactions in the body. d. maintaining and repairing body tissue.
Final answer:
Protein buffers play a critical role in maintaining acid-base balance in the body by absorbing excess hydrogen and hydroxyl ions, maintaining optimal pH levels, and contributing to fluid-electrolyte balance and transport of electrolytes.
Explanation:
In the body, protein buffers are exceptionally important in maintaining acid-base balance. They operate by absorbing excess hydrogen ions (H⁺) or hydroxyl ions (OH⁻) that result from bodily processes, effectively stabilizing the pH levels of body fluids. One primary example of a buffer system in the human body is the bicarbonate system. However, proteins such as albumin and hemoglobin also have a significant buffering capacity, which accounts for a substantial part of the blood's buffering power and most of the buffering actions within cells.
Additionally, the charged amino and carboxyl groups in proteins also allow them to participate in maintaining fluid-electrolyte balance and transporting electrolytes across cell membranes. Through these actions, proteins help keep our body fluids at a pH level optimal for homeostasis.
Final answer:
Proteins in the body, like albumin and hemoglobin, act as buffers to maintain acid-base balance by preventing drastic pH changes, thus preserving homeostasis.
Explanation:
Proteins serve as buffers in the body with critical roles in maintaining acid-base balance. They act by preventing the pH of body fluids from becoming too acidic or too alkaline. Proteins like albumin and hemoglobin have basic and acidic components that can attract or release hydrogen ions, thereby functioning as buffers. This buffering capability is crucial as it helps to maintain a stable pH in the blood, generally between 7.35 and 7.45, which is essential for optimal bodily function. Furthermore, blood pH is maintained by several systems, including chemical buffers like bicarbonates, phosphates, and proteins. These substances resist changes in pH by absorbing surplus hydrogen ions, thus facilitating homeostasis and preventing adverse effects that can occur from pH fluctuations.
In Mediterranean climate regions like portions of California, a wetter-than-normal winter often leads to greater severity of fires the following summer. This seeming paradox occurs because increased rain leads to _____.
Answer:
Collection of Chapparal biomass
Explanation:
In Mediterranean climate regions like portions of California, a wetter-than-normal winter often leads to greater severity of fires the following summer. This seeming paradox occurs because increased rain leads to breaking of plants and trees and it leads to collection of large amount of chapparal biomass,after winter this chapparal biomass becomes dry and it can catch fires.
What statement is true about providing nutritional support to rodents with low appetite caused by a procedure?
Answer:
The correct statement is Providing nutritional support may avoid the necessity for euthanatizing the animals.
Explanation:the statement that is true about providing nutritional support to rodents with low appetite caused by a procedure is Providing nutritional support may avoid the necessity for euthanatizing the animals.
In eastern gray squirrels, Sciurus carolinensis, the allele for black fur (B) is dominant to the allele for gray fur (b). In a particular population of gray squirrels, 64% have black fur and 36% have gray fur. A researcher calculated the allelic frequencies to be B=0.4 and b=0.6. Five years later, the researcher returned to the location and determined the allelic frequencies within the squirrel population to be B=0.6 and b=0.4
Answer:
The correct answer is "The frequency of the B allele increased due to the selective pressures of the environment".
Explanation:
The missing part of the question is "Which of the following could best explain the increase in the frequency of the B allele in the population after five years?" at which the answer is "The frequency of the B allele increased due to the selective pressures of the environment".
In this study, the allelic frequency for black fur (B) in eastern gray squirrels Sciurus carolinensis changed from B=0.4 to B=0.6 within a lapse of five years. This increase is explained by the effect of selective pressures of the environment. For instance, is likely that new predators were more likely to detect squirrels with gray fur over black fur, or changes in the landscape benefited the black fur squirrels camouflage.
Allele frequency in a population is calculated by the division of the number of times an allele is observed by the total number of copies of all the alleles in a population.
The frequency of allele B increased due to selective pressures of the environment.
The allelic frequencies are used to calculate the number of times an allele in a population is observed. The allelic frequencies help to understand the gene flow in a population.
In the given research, the allelic frequency for Black fur is (B) changed from B = 0.4 to B = 0.6 within 5 years. The change in the allelic frequency can be due to selective pressure, such as producing offspring more than the environment can hold.
Thus, the new predator targeted the squirrels with gray fur and led to increasing the squirrels having black fur.
Thus, the allelic frequencies increased due to selective pressures in the environment.
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Triangle ABC is an equilateral triangle with side lengths labeled a, b, and c. Triangle A B C is an equilateral triangle. The length of side A B is c, the length of B C is a, and the length of A C is b. Trigonometric area formula: Area = One-half a b sine (C) Which expressions represent the area of triangle ABC? Select three options. a c sine (60 degrees) One-half b c sine (60 degrees) One-half a squared sine (60 degrees) StartFraction a squared b sine (60 degrees) Over 2 EndFraction StartFraction a b sine (60 degrees) Over 2 EndFraction
Answer:
One-half b c sine (60 degrees)
One-half a squared sine (60 degrees)
StartFraction a b sine (60 degrees) Over 2 EndFraction
Explanation:
The area rule states that the area of any triangle is equal to half the product of the lengths of the two sides of the triangle multiplied by the sine of the angle included by the two sides.
From the question, Equilateral triangle refer to a triangle with equal angle and equal sides. The sum of an angle in a triangle = 180°; this implies that each angles have 60°.
∴ the three options that defines the expressions that represent the are of triangle ABC are:
One-half b c sine (60 degrees)
i.e [tex]\frac{1}{2}bcsin60^{0}[/tex]
One-half a squared sine (60 degrees) ; if the two opposite sides posses the same parameters.
i.e [tex]\frac{1}{2}a^{2}sin60^{0}[/tex]
StartFraction a b sine (60 degrees) Over 2 EndFraction
i.e [tex]\frac{absin60^{0}}{2}[/tex]
There are three options that defines the expressions to represent the area of triangle ABC:
One-half bc sin[tex]\bold {60^o}[/tex] One-half a squared sin[tex]\bold {60^o}[/tex] ; if the two opposite sides posses the same parameters. Start Fraction ab sin[tex]\bold {60^o}[/tex] Over 2 End Fraction
Equilateral triangle:
A triangle with equal angle and equal sides. The sum of an angle in a triangle is [tex]\bold {180^o}[/tex] this implies that each angles have [tex]\bold {60^o}[/tex]
The area rule of triangle:
It states that the area of any triangle is equal to half the product of the lengths of the two sides of the triangle, multiplied by the sine of the angle.
Therefore, there are three options that defines the expressions to represent the area of triangle ABC:
One-half bc sin[tex]\bold {60^o}[/tex] One-half a squared sin[tex]\bold {60^o}[/tex] ; if the two opposite sides posses the same parameters. Start Fraction ab sin[tex]\bold {60^o}[/tex] Over 2 End Fraction
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