The parts of the brain that control breathing are the
O A. spinal cord and cerebellum
O
B. medulla oblongata and pons
C. cerebrum and cerebellum
OD. cerebrum and pituitary gland
What are potential problems in the cell cycle if the different cyclin molecules do not interact correctly?
Answer:
Interactions between cyclins and cyclin-dependent kinases. Disruptions to the cell cycle may result in cancer and/or programmed cell death (apoptosis).
An organism’s traits are determined by the
A. number of the A-T and G-C pairs in RNA
B. sequence of the deoxyribose sugar in DNA
C. number of thymine bases in RNA
D. sequence of the nitrogenous bases in DNA
An organism’s traits are determined by the sequence of the deoxyribose sugar in DNA option (B)
what is an organism?Any living system that performs as a separate unit is referred to as an organism. All living things are made up of cells. Organisms are classified by taxonomy into groups such as multicellular animals, plants, and fungi; or unicellular microorganisms such as protists, bacteria, and archaea
what is DNA?Deoxyribonucleic acid is a polymer made of two polynucleotide chains that form a double helix around one another. All known living things, including many viruses, have genetic material in their polymers that direct how they should function, grow, and reproduce. Nucleic acids include ribonucleic acid and DNA.
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Discuss the benefits to animals of effective communication over both long and short distances.
Effective communication, whether over long or short distances, enhances reproductive success, promotes group cohesion, aids in predator avoidance, facilitates cooperative behaviors, and strengthens social bonds.
Effective communication plays a crucial role in the animal kingdom, providing numerous benefits to animals across both long and short distances. Here are some of the key advantages:
Benefits of Effective Communication over Long Distances:
Mating and Reproduction: Animals often rely on long-distance communication to attract mates and engage in reproductive behaviors. Vocalizations, scent marking, visual displays, and even long-distance chemical signals can help individuals locate and communicate their availability, readiness to mate, and genetic fitness.
Territory Defense: Some animals use long-distance communication to establish and defend their territories. Vocalizations, such as bird songs or mammalian calls, can serve as territorial markers, warning neighboring individuals about an occupied area and minimizing potential conflicts.
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A marine biologist wants to estimate the average weight of a population of dolphins living in a certain region of the ocean. The biologist will collect a random sample of dolphins and use the sample weights to create the estimate Which of the following is an appropriate method for the biologist to use for inference to the population? A A one-sample t-interval for a population mean B A one-sample t-interval for a sample mean C A one-sample 2-interval for a population proportion D A matched-pairs t-interval for a mean difference E A two-sample t-interval for a difference between means Log in to add comment jordanmcdevitt8545 is waiting for your help. Add your answer and earn points. Expert-Verified Answer 5 people found it helpful joaobezerra Genius 27.1K answers 196.2M people helped Answer: A A one-sample t-interval for a population mean Step-by-step explanation: The biologist will collect a random sample of dolphins and use the sample weights to create the estimate. In a confidence interval, we take the data from the sample and want to estimate it for the entire population, so t Get more Answers for FREE Snap questions with the app, get community help, find expert textbook explanations, and see instant step-by-step math solutions. Why am I seeing this? By creating an account, you accept the Brainly Terms of Service⬈(opens in a new tab) & Privacy Policy⬈(opens in a new tab). Already have an account? Log in by watching video 5.0 (3 votes) Advertisement Still have questions? Get more Answers for FREE Snap questions with the app Get help from the community Find expert explanations for textbooks View instant step-by-step math solutions Already have an account? Log in You might be interested in mariammazen2000 asked 04/05/2020 : Concerning the sampling distribution of the sample mean: • Generate a population consisting of 6 observations representing students’ scores in a certain course. Select a sample of 2 observations. 1. Prove that the mean of the sample mean equals the population mean. 2. Prove that the variance of the sample mean equals the population variance divided by n. 3. Construct a 95% confidence interval for the population mean. See answers (1) miqb24 asked 05/07/2020 A sociologist is studying the social media habits of high school students in a school district. The sociologist wants to estimate the average total number of minutes spent on social media per day in the population. A random sample of 50 high school students was selected, and they were asked, "How many minutes per day, on average, do you spend visiting social media sites?" Which of the following is the most appropriate inference procedure for the sociologist to use? A one-sample z-interval for a population proportion A A one-sample t-interval for a population mean B A matched-pairs t -interval for a mean difference C A two-sample z-interval for a difference between proportions D A two-sample t-interval for a difference between means See answers (2) 4.2/5 7 hiyalol2973 asked 03/10/2020 A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is σ = 15. a. Compute the 95% confidence interval for the population mean. b. Assume that the same sample mean was obtained from a sample of 120 times. Provide a 95% confidence interval for the population mean. c. What is the effect of a larger sample size on the interval estimate? See answers (1) 2 miqb24 asked 04/25/2020 Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let pˆD represent the sample proportion for D, and let pˆE represent the sample proportion for E. Question 2 (b) What are the mean and standard deviation of the sampling distribution of the difference in sample proportions pˆD−pˆE ? Show your work and label each value. (c) Can it be assumed that the sampling distribution of the difference of the sample proportions pˆD−pˆE is approximately normal? Justify your answer. (d) Consider your answer in part (a). What is the probability that pˆD−pˆE is greater than the value found in part (a)? Show your work See answers (1) 5/5 12 New questions in Mathematics helppp need aswer soon A cylinder has a radius of 3 cm and a height of 6 cm. Use the formula V cylinder. Round your answer to the nearest whole number if you don't know this circumference but you do know that 75% of the circumference is 6 in what would circumference be Quantitative data can be ___ O discrete O continuous O discrete or continuous O none of the above 13. If 30% of the pupils in a school are boys, what percentage of the pupils are girls? Pls help me find the surface are and volume Previous Next Ask your qu
The appropriate method for the biologist to use for inference to the population is A) A one-sample t-interval for a population mean.
What occurs in one-sample t-interval?In this situation, the biologist wants to estimate the average weight of a population of dolphins living in a certain region of the ocean. The biologist will collect a random sample of dolphins and use the sample weights to create the estimate.
Therefore, the appropriate method for inference to the population is to use a one-sample t-interval for a population mean. This method is used when we want to estimate the population mean using a sample mean and the standard deviation of the sample. The t-interval takes into account the uncertainty of the estimate due to the random sampling process, which makes it an appropriate method for this situation.
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The correct question is:
A marine biologist wants to estimate the average weight of a population of dolphins living in a certain region of the ocean. The biologist will collect a random sample of dolphins and use the sample weights to create the estimate Which of the following is an appropriate method for the biologist to use for inference to the population?
A A one-sample t-interval for a population mean
B A one-sample t-interval for a sample mean
C A one-sample 2-interval for a population proportion
D A matched-pairs t-interval for a mean difference
E A two-sample t-interval for a difference between means
B b
B BB ??
b Bb bb
In some animals, brown eyes (B) are dominant over blue eyes (b). Which of these genotypes will complete this Punnett square?
A.
BB
B.
bb
C.
Bb
D.
B
Answer:
C. Bb
Explanation:
The given Punnett Square uses two Bb (One dominant and one recessive trait for both). Set the Punnett Square. The Punnett Square will take one trait from each parent:
\(\left[\begin{array}{ccc}&B&b\\B&BB&Bb\\b&Bb&bb\end{array}\right]\)
The missing offspring is the top right value, which results in Bb. Therefore, C. Bb, is your answer.
~
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Help me please, I’m confused
Answer:
Photosynthesis-
Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's metabolic activities. Photosynthesis occurs in the chloroplast of a plant, which contains chlorophyll. In order for photosynthesis to take place, it needs to have water and carbon dioxide, the two very important raw materials necessary for this process. In the presence of carbon dioxide, such cells are able to convert this solar energy into energy-rich organic molecules, such as this energy-rich molecule known as glucose. Oxygen the by product of photosynthesis is inhaled by heterotrophs which aids in cellular respiration and other internal processes and then exhales carbon dioxide. ... In like manner, carbon dioxide passes from blood to the alveoli and exhaled after
Explanation:
The height of bean plants depends on the amount of water they receive. Identify the independent variable de pendent variable and controlled variable in this sentence
The amount of water the bean plants receive is an independent variable.
Bean plant height is a dependent variable. Other variables that are maintained constant or unaffected constitute a controlled variable.
Factors Affecting plant growthsThe primary elements that affect how a plant develops are light, heat, water, humidity, and nutrients. It is crucial to understand how these obstacles affect plant development.
The main element influencing how quickly plants develop is temperature. Plants will progress through their growth stages more quickly in warmer climates. The growth pattern and appearance of a plant can also be altered by increased temperature.
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If a cell is unable to progress beyond the G1 phase, it is a likely indicator that the cell
a. had detrimental genetic errors that could not be repaired. b. was unable to produce more cytoplasm and organelles as needed. c. was unable to replicate its chromosomes correctly. d. had genetic errors in genes responsible for regulating cell division. e. will begin to divide uncontrollably, forming a malignant tumor.
If a cell is unable to progress beyond the G1 phase, it is a likely indicator that the cell had genetic errors in genes responsible for regulating cell division. Therefore, option (D) is correct.
During the G1 phase, a cell prepares for DNA replication and checks for any damage or errors in its genetic material. If the cell is unable to progress beyond this phase, it could be due to genetic errors in genes responsible for regulating cell division, such as tumor suppressor genes.
These errors could lead to uncontrolled cell division and the formation of malignant tumors. Therefore, identifying and repairing these genetic errors is crucial for preventing cancer development. It is important for researchers and medical professionals to continue studying and developing treatments for genetic diseases and disorders that affect cell division.
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Which of the following microscopes contains multiple objective lenses, creates a 2-dimensional image of the specimen being viewed, has a light source located below the specimen, and can be used to view both living and non-living specimens?
a dissecting microscope
a compound microscope
a scanning electron microscope
a transmission electron microscope
Answer:
I guess the answer is a scanning electron microscope
The microscope that contains multiple objective lenses, creates a 2-dimensional image of the specimen being viewed, has a light source located below the specimen, and can be used to view both living and non-living specimens is compound microscope. The correct option is B.
What is a compound microscope?Compound microscopes are a type of light microscope that uses a light beam to perceive samples.
The compound microscope does indeed have two ocular lenses as well as numerous objective lenses with varying magnification levels.
Based on the definition in this question, a compound microscope produces a two-dimensional image of the specimen under examination.
A compound microscope is customarily used to view samples at high magnification, which is accomplished through the combined effect of two sets of lenses: the ocular lens and the objective lenses.
Thus, the correct option is B.
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explain micronutrients
Answer:
Micronutrients are vitamins and minerals needed by the body in very small amount
Explanation:
because the definition match
Abo blood type is determined by a ___ located on ___ 9. The a and b ___ code for different ___.
Abo blood type is determined by a ABO blood located on Chromosomes
The a and b blood groups code for different dominant
The ABO blood groups in humans are determined by a multiple allelic system where IA and IB are codominant and dominant…
The ABO blood groups in humans are controlled by the IA, IB, and I alleles.
The IA allele encodes the A blood group antigen, IB encodes B
ABO blood type is determined by a gene positioned on Chromosomes The a and b alleles code for distinctive proteins.
three alleles, A, B, and O, make up the ABO gene, which is located on chromosome 9. Alleles A and B are appeared as dominant, whereas O is a recessive allele.
Serum (fluid) antibodies towards kind B crimson cells are found in blood that carries pink cells with kind A antigens on their surfaces. Anti-A antibodies in kind B blood cause similar dying of type A purple blood cells.
apart from compatibility issues with some other blood group device, kind O blood may be injected into people with type A, B, or O blood. Blood of kinds A, B, or O can be given to humans with type AB blood.
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Leech sucking human blood
A.Competition
B.Mutualism
C.Commensalim
D.Predation
E.parasitism
Answer:
E, because the given parasite is feasting on a living host.
Explanation:
Hope This Helps
Happy Hoildays
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cytoplasmic determinants help organize what aspect of the embryo?
The cytoplasmic determinants help to establish the body axes of the embryo and guide the formation of different tissues and organs.
Cytoplasmic determinants are molecules that are unequally distributed within the cytoplasm of the egg cell and are responsible for directing the development of different cell types during embryonic development. These determinants help to organize the initial polarity of the embryo and play an important role in determining the fate of individual cells.
They also regulate the expression of genes and the differentiation of cells into specialized types. Overall, cytoplasmic determinants are essential for the proper development of the embryo, and their correct distribution is critical for the formation of a healthy organism.
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all of the following are polysaccharides except group of answer choices cellulose in certain cell walls. agar used to make solid culture media. glycogen in liver and muscle. prostaglandins in inflammation. a cell's glycocalyx.
Cellulose in certain cell walls Prostaglandins in inflammation. The correct option is Prostaglandins .
Here's a brief explanation of the other options:
1. Cellulose in certain cell walls: Cellulose is a polysaccharide that is a major component of plant cell walls. It is composed of glucose monomers and provides structural support to plants.
2. Agar used to make solid culture media: Agar is a polysaccharide derived from red algae. It is used as a solidifying agent in microbiological culture media due to its gel-like properties.
3. Glycogen in liver and muscle: Glycogen is a polysaccharide that serves as an energy storage molecule in animals. It is primarily found in the liver and muscles and is composed of glucose monomers.
4. A cell's glycocalyx: The glycocalyx is a carbohydrate-rich layer on the cell surface, consisting of glycoproteins and glycolipids. It may contain polysaccharides, which can be involved in various cellular functions, such as cell adhesion and communication.
In contrast, prostaglandins are not polysaccharides. They are a group of lipid compounds derived from fatty acids, and they play essential roles in inflammation and other physiological processes.
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differentiate the types of muscle- skeletal, cardiac, smooth
Answer:
Skeletal muscle moves bones and other structures. Cardiac muscle contracts the heart to pump blood. The smooth muscle tissue that forms organs like the stomach and bladder changes shape to facilitate bodily functions.
Explanation:
Answer:
cardiac muscles perform involuntary muscular movements of the heart, aiding the heart to pump blood throughout the body, while skeletal muscles perform voluntary muscular movements of bones, aiding physical movements of the body such as walking, running, and writing and smooth muscles perform an involuntary muscular movements of internal organs, aiding functions of the body such as digestion, urination, and breathing.
Which of the following actions will provide a negative control for the investigation?
Repeating the experiment at 25°C
Repeating the experiment using twice the amount of hydrogen peroxide
Repeating the experiment using twice the amount of peroxidase
A negative control is a control group where no response is expected. It is utilized to ensure that any observed effect is due to the experimental treatment rather than a non-specific experimental variable.
It is an essential experimental control to determine the sensitivity of an assay or reaction and is used to provide a baseline of comparison for experimental treatments. Keeping in mind the definition of a negative control, the following actions will provide a negative control for the investigation: Repeating the experiment at 25°CThe other two options, i.e., repeating the experiment using twice the amount of hydrogen peroxide or peroxidase, would be considered positive controls.
Positive controls are controls that test for the expected response to the experiment. It is employed to verify that the experimental setup is functioning correctly and that the experimental conditions are producing the expected result.
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Which mechanism allows lipid-soluble substances to move through the membranes of endothelial cells of capillaries
Answer:
Diffusion.
Explanation:
The mechanism that allows lipid-soluble substances to move through the membranes of endothelial cells of capillaries is simple diffusion.
Simple diffusion is a passive transport mechanism that allows lipid-soluble substances to move across the membranes of endothelial cells in capillaries. This process occurs down a concentration gradient, from an area of higher concentration to an area of lower concentration, without the need for energy expenditure.
The membranes of endothelial cells, which make up the walls of capillaries, are composed of a lipid bilayer. Lipid-soluble substances, such as oxygen, carbon dioxide, steroid hormones, and certain lipid-soluble drugs, can readily diffuse through this lipid bilayer due to their ability to dissolve in and pass through the hydrophobic interior of the membrane.
Unlike lipid-soluble substances, water-soluble substances, such as ions and polar molecules, are unable to passively diffuse through the lipid bilayer. Instead, they rely on specific transport mechanisms such as facilitated diffusion or active transport to cross the endothelial cell membrane.
In the context of capillaries, simple diffusion allows lipid-soluble substances to move from the bloodstream through the endothelial cell membranes and into surrounding tissues or vice versa. This process plays a crucial role in the exchange of gases, nutrients, and waste products between the bloodstream and the tissues.
It is important to note that while simple diffusion allows for the passage of lipid-soluble substances, the movement of these substances can also be influenced by factors such as concentration gradients, molecular size, solubility, and the presence of transport proteins. However, the primary mechanism by which lipid-soluble substances traverse the endothelial cell membranes of capillaries is through simple diffusion.
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Please help!! will give 10 points!! Two scientists want to compare their research of fireflies. Which information must the two scientists provide to each other to determine if they studied the same type of fireflies? (B.8, A) *
1 point
Size of the firefly populations
Type of habitat in which the fireflies live
Color of light produced by the fireflies
Species name of the fireflies studied
Answer:
its the last answer "species name of the fireflies studied" t
Explanation: i took a quiz with the same question and got it right
The correct answer is the species name of the fireflies studied by the two scientists provide to each other to determine if they studied the same type of fireflies.
The species name of the fireflies studied is important as it provides binomial nomenclature to be explained well. A sit allowed people to communicate about the species world.
What is binomial nomenclature ?In taxonomy, the binomial nomenclature provides names for species of flora and fauna in the living world.
Hence concluded that information must the two scientists provide to each other to determine if they studied the same type of fireflies is the best information Species name of the fireflies studied.
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Scientists are observing a population of insects living in a warm, dry climate over time. Which piece of evidence would not indicate evolution in the population has occurred?
Choose the correct answer.
The phenotypes of the population remain the same.
The distribution of traits in a population has shifted.
The population is better adapted to survive in its environment.
The allele frequency of a particular form of a gene has increased.
Answer:
1st One
Explanation:
1st One
Answer:
A
Explanation:
It would be A because the rest are all evolution
How many microspores and megaspores would be required respectively to produce 200 embryos?
The number of meiotic divisions required to produce 200 seeds depends on the type of plant and its reproductive cycle.
In most plants, the process of meiosis only occurs once during the production of gametes, which then fuse during fertilization to form a zygote. The zygote then undergoes mitotic divisions to produce the embryo and eventually the seed.
Therefore, the number of meiotic divisions required to produce 200 seeds would be dependent on the number of gametes needed to produce those seeds, which can vary greatly depending on the plant species and reproductive strategy.
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Full Question: How many meiotic divisions are required to produce 200 seeds?
50100200250What are two types of pioneer species
Answer:
Plankons, fungi, bacteria, lichens etc. are the pioneer species of ecological succession.
Explanation:
Do you remember the five
characteristics of life?
From memory, list the characteristics of life.
Answer:
They are usually 7 characteristics
Explanation:
1) GROWTH
2) Ability to REPRODUCE
3) RESPOND
4) METABOLISM
5 ) RESPIRATION
6) NUTRITION
7) EXCRETION
Answer:
1.Cells
2.Homeostasis
3.Reproduction
4.Metabolism
5.DNA/Heredity
Explanation:
I am don't remember the five characteristics of life from memory l am only remember some but here you got.
which type of inheritance involves genes found on the non-autosomal chromosomes?
Answer:
sex- linked inheritance
Hope this helps :) !!!
The type of inheritance that involves genes found on the non-autosomal chromosomes is known as sex-linked inheritance. Sex-linked inheritance is also known as sex-linked genetic disorder, sex-linked traits, or X-linked traits.The sex chromosomes determine the gender of an individual.
These are non-autosomal chromosomes. In mammals, the male has one X and one Y chromosome, while the female has two X chromosomes. Some genetic diseases and traits are linked to the X chromosome. This implies that if the genes are carried on the X chromosome, it will have a greater impact on males than females because males only have one X chromosome whereas females have two. Therefore, the condition of an X-linked trait is more prevalent in males than females due to their single X chromosome.
The example of an X-linked trait is hemophilia, a genetic condition in which blood clotting is disrupted. Hemophilia is a recessive X-linked trait, which means that only individuals with two altered genes (homozygous recessive) will exhibit hemophilia. Females are carriers of hemophilia, and they can pass the disease to their male children. However, females may also show symptoms of hemophilia in severe cases, even though this is rare. Overall, the long answer is that X-linked inheritance involves genes found on the non-autosomal chromosomes.
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Gene 1 and Gene 2 have many differences in their nucleotide sequences.
Based on this information, which two statements are true about the proteins encoded by Gene 1 and Gene 2?
Choose two answers:
A The proteins must be located in different types of specialized cells.
B The proteins likely have different amino acid sequences.
C The proteins likely have different functions in the cell.
Based on this information, 'the proteins likely have different amino acid sequences' and 'the proteins likely have different functions in the cell' are TRUE. A gene codes a protein.
GeneA gene is a fragment of DNA that is used as a template to generate a complementary mRNA during transcription.
Subsequently, this mRNA is then used as a template to generate a protein during a process called translation.
The linear order in the nucleotide (DNA) sequence determines the specific amino acids that will be added to the nascent polypeptide chain (each triplet of nucleotides or codon in mRNA determines one amino acid).
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PLEASE HELP! WILL GIVE BRAINLIEST! DON'T ANSWER JUST FOR JUST POINTS!
Directions:
1. Write a short story using all of the vocabulary terms below:
Endothermic: a process that absorbs thermal energy
Exothermic: a process that releases thermal energy
Replication: the reproduction of a scientific investigation by another person to ensure accuracy
Thermal energy: the energy that comes from heat
Trials: multiple sets of measurements or observations in a scientific investigation
2. Your story must be at least two paragraphs long and use correct punctuation to receive full credit.
Answer:
As a young scientist, Lily was always fascinated by the concept of energy and the different forms it can take. She spent countless hours in her home laboratory conducting experiments to learn more about endothermic and exothermic reactions. One day, she decided to replicate an experiment that she had seen in a scientific journal.
Lily carefully followed the steps outlined in the journal and began recording her observations. She conducted multiple trials to ensure accuracy and was surprised to find that the results were not consistent with what was reported in the journal. Confused, Lily went back to the drawing board and decided to modify the experiment to see if she could achieve different results. She discovered that by adjusting the temperature, she could control whether the reaction was endothermic or exothermic. Through her replication and trials, Lily had made an exciting discovery and was eager to share her findings with the scientific community.
With her new knowledge of thermal energy and exothermic reactions, Lily became a respected researcher in her field. She continued to conduct experiments and share her findings with the world, always remembering the importance of replication and multiple trials to ensure the accuracy of her results. Through her dedication and passion for science, Lily made a significant contribution to the scientific community and inspired others to pursue their own research.
Explanation:
It uses all the things the person asked for
__________ are small objects that are suspended within the atmosphere. A) Fumaroles B) Particulates C) Plankton D) Asbestos E) Angiosperms
Answer:
B) Particulates
Explanation:
_____Particulates_____ are small objects that are suspended within the atmosphere
2 which of the following is not part of the nephron? a. the proximal tubule. b. the glomerular capsule. c. the medullary collecting duct. d. the nephron lo
The answer is c: the medullary collecting duct is not a part of the nephron.
A nephron is a microscopic, structural, and functional unit of the kidney, which is the organ that produces urine. It is the smallest unit in the kidney, and each kidney contains millions of nephrons. It comprises two components:
the renal corpusclethe renal tubuleThe renal corpuscle is a group of capillaries in the kidney that are responsible for filtering blood. It is composed of the glomerulus and the glomerular capsule.
The renal tubule is a long and twisting tube that is responsible for reabsorbing substances that were initially filtered out of the blood. It is composed of the proximal tubule, nephron loop, and the distal tubule.
The medullary collecting duct is not part of the nephron. Instead, it is a part of the renal collecting system, which is responsible for carrying urine from the nephrons to the renal pelvis.
The collecting ducts originate in the renal cortex and descend into the medulla, where they merge to form larger ducts that eventually empty into the renal pelvis.
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Place the steps of the respiration process in the correct order.
Air passes from the trachea to the bronchi.
Oxygen enters the blood cells.
Air enters the nostrils.
Air diffuses from the alveoli to the blood cells.
Blood transports oxygen to other cells.
1. Air enters the nostrils.
2. Air passes from the trachea to the bronchi
3. Air diffuses from the alveoli to the blood cells.
4. Oxygen enters the blood cells.
5. Blood transports oxygen to other cells.
(n + 6) is a factor of (n^3+8n^2-3n-90) factor the polynomial complete
The complete factorization of the polynomial is then (n + 6)(n + 3)(n - 5). We can use the difference of squares factorization.
We can factor the polynomial as follows:
(n + 6)(n^2 - n - 15)
To factor the quadratic expression, we can use the difference of squares factorization. The quadratic can be written as:
n^2 - n - 15 = (n + 3)(n - 5)
Therefore, the complete factorization of the polynomial is:
(n + 6)(n + 3)(n - 5)
Here is a step-by-step explanation of the factorization:
We first notice that (n + 6) is a factor of the polynomial because it divides evenly into the polynomial and leaves no remainder.
We then factor the quadratic expression (n^2 - n - 15) using the difference of squares factorization.
The complete factorization of the polynomial is then (n + 6)(n + 3)(n - 5).
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