After 42 days, 2g of phosphorus-32 has decayed to 0.25 g. What is the half life of phosphorus

Please add work!

Answers

Answer 1

The half-life of phosphorus-32 (P-32) is  14.8 days.

How do we calculate?

N(t) = N₀ * (1/2)^(t / T₁/₂)

N(t) is the amount of the substance remaining at time t

N₀ is the initial amount of the substance

t is the elapsed time

T₁/₂ is the half-life of the substance

Initial amount (N₀) = 2 g

Final amount (N(t)) = 0.25 g

Elapsed time (t) = 42 days

We can rearrange the formula to solve for the half-life (T₁/₂):

(1/2)^(t / T₁/₂) = N(t) / N₀

t / T₁/₂ = log₁/₂(N(t) / N₀)

t / T₁/₂ = log(N(t) / N₀) / log(1/2)

t / T₁/₂ = log(0.25 g / 2 g) / log(1/2)

t / T₁/₂ = log(0.125) / log(1/2)

t / T₁/₂ = -log(8) / log(2)

T₁/₂ = -t / log(8) * log(2)

T₁/₂ = -42 days / log(8) * log(2)

T₁/₂ =  14.8 days

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Related Questions

exaplian two situations on a pedigree that would allow you to determine the genotype of an induvudal with the dominant phenotype. Draw a pedigree with each explanation

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Pedigrees frequently cover several generations as well as other family members to give a more thorough insight of inheritance patterns. In both situations, the dominant phenotype is expressed in multiple generations, providing clues about the genotype of the individual showing the dominant trait.

Two pedigree situations to explain genotype with dominant phenotype

Two scenarios can be seen in a pedigree to determine the genotype of a person with a dominant phenotype:

Affected parent and affected child: It is likely that the affected parent is heterozygous, carrying one copy of the dominant allele if they have a child who also displays the dominant phenotype.Two individuals with a dominant phenotype have an unaffected offspring: This shows that both of the affected individuals are heterozygous if the child does not have the dominant phenotype.

By taking into account the inheritance patterns shown in the pedigree, these scenarios offer hints regarding the genotype of people with dominant traits.

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Match the five white blood cells to their function
D. Lymphocytes
D. Eosinophils
Monocyte
Basophils
B. Neutrophils

A Signal stronger cells for attack
B. Most abundant cells
C. Largest aggressive white blood cell
D.Aggressive "Killer" cells
E. Carry heparin and histamine

Answers

The five white blood cells can be matched to their function as;

A. Lymphocytes: Signal stronger cells for attack

B. Neutrophils: Most abundant cells

C. Monocyte: Largest aggressive white blood cell

D. Eosinophils: Aggressive "Killer" cells

E. Basophils: Carry heparin and histamine

What are blood cells ?

The most prevalent form of blood cell and the main source of oxygen for the bodily tissues of vertebrates, red blood cells are also known as red cells, red blood corpuscles, haematids, erythroid cells, or erythrocytes. They circulate through the blood through the circulatory system.

Red blood cells, also known as erythrocytes, are responsible for transporting oxygen from the lungs to the body's tissues as well as carbon dioxide, a waste product, from the tissues back to the lungs.

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A study claims that it can make you smarter in one week. Which question could be asked to best determine the reliability of this claim?

How long did the study take to complete?
Did the study use all parts of the scientific method?
How much money did the researchers make?
How long ago was the study published?

Answers

Out of the four questions listed below, the best one to ask to determine the reliability of the claim that a study can make you smarter in one week is "Did the study use all parts of the scientific method?

The scientific method is a process by which scientists inquire about the natural world. The scientific method is a procedure for developing and evaluating hypotheses, and it is used to acquire information regarding the natural world. The scientific method is often used by scientists to develop a hypothesis and then test that hypothesis to see if it is correct. The scientific method generally consists of the following steps:

Observation Question Hypothesis Experiment Analysis Conclusion The scientific method requires that each step be followed in order to ensure the reliability and validity of the results. Therefore, if the study that claims to make you smarter in one week followed all of these steps, it is more likely to be reliable.

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what consists of unsaturated fats

Answers

Answer: Lipids consists of unsaturated fats. ↓

Explanation:

Like proteins and carbohydrates, lipids belong to the class of organic compounds. They are a collection of hydrocarbon-based macromolecules that are hydrophobic in nature. The three major families of lipids are steroids, phospholipids, and fats.

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Vegetable oils, nuts, and seeds are examples of foods that are high in unsaturated fats.

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At least one double bond can be found in the chains of unsaturated fatty acids. Since this is created by taking hydrogen atoms out of the carbon skeleton, unsaturated fatty acids have fewer hydrogen atoms than saturated fatty acids. Often obtained from plants or fish, unsaturated fatty acids are liquid at normal temperature. When fats are liquid, they are referred to as oils. Vegetable oils like canola oil and olive oil as well as fish oil are two excellent sources of unsaturated fatty acids.

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Unsaturated fats contain carbon-carbon double bonds.Unsaturated fats are liquid at room temperature.Unsaturated fats have fewer hydrogens per carbon than a saturated fat with the same number of carbons.

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The above carbohydrate (cellobiose) is properly categorized as:
A. a heteropolysaccharide sugar
B. a homopolysaccharide sugar
C. a heterodisaccharide sugar
D. a homodisaccharide sugar
E. a monosaccharide sugar

Answers

Cellobiose is properly categorized as a heterodisaccharide sugar, as it consists of two glucose units linked together through a β-1,4-glycosidic bond.

The correct answer is option C.

The above carbohydrate, cellobiose, is properly categorized as a heterodisaccharide sugar. A heterodisaccharide is a type of carbohydrate composed of two different monosaccharide units joined together by a glycosidic bond. Cellobiose consists of two glucose molecules linked together through a β-1,4-glycosidic bond.

To understand why cellobiose is classified as a heterodisaccharide, let's break down the options provided:

A. Heteropolysaccharide sugar: Heteropolysaccharides are complex carbohydrates composed of different types of monosaccharides. However, cellobiose is a disaccharide, not a polysaccharide, and it consists of two identical glucose units, making it a homodisaccharide rather than a heteropolysaccharide.

B. Homopolysaccharide sugar: Homopolysaccharides are carbohydrates made up of repeating units of the same monosaccharide. Since cellobiose is composed of two glucose units, it is not a homopolysaccharide.

C. Heterodisaccharide sugar: Heterodisaccharides are carbohydrates formed by the combination of two different monosaccharide units. In the case of cellobiose, it is formed by the linkage of two glucose units, which are the same type of monosaccharide. Therefore, cellobiose is a heterodisaccharide sugar.

D. Homodisaccharide sugar: Homodisaccharides are carbohydrates composed of two identical monosaccharide units. Since cellobiose is formed by the linkage of two glucose units, it is not a homodisaccharide.

E. Monosaccharide sugar: Monosaccharides are single sugar units and cannot be further broken down into simpler sugars. Cellobiose is a disaccharide, consisting of two glucose molecules, and is therefore not classified as a monosaccharide.

Therefore, the carbohydrate (cellobiose) is properly categorized a:  C. a heterodisaccharide sugar

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Describe how instructional notes in both the Alphabetic Index and the Tabular List guide coders when selecting ICD-10-CM codes.

Answers

Instructional notes in the Alphabetic Index and Tabular List of ICD-10-CM provide essential guidance for coders in selecting accurate codes by clarifying coding conventions, rules, and specific instructions.

Instructional notes in both the Alphabetic Index and the Tabular List of ICD-10-CM provide guidance to coders when selecting appropriate codes. These notes serve as important references that clarify coding conventions, rules, and specific coding instructions.

In the Alphabetic Index, instructional notes can be found alongside the listed terms or conditions. They provide additional information on code selection, such as code inclusion or exclusion criteria, code sequencing rules, and any specific coding guidelines applicable to certain conditions or circumstances. For example, the index may indicate the need to refer to another term or provide cross-references to guide coders to the most appropriate code. These notes help coders navigate through the index and select the correct codes based on the documented diagnoses or conditions.

Similarly, the Tabular List contains instructional notes that further assist coders in code selection. These notes are typically located at the beginning of a chapter, section, or category and provide overarching guidelines and specific coding conventions. They may include instructions on the use of combination codes, manifestation codes, or codes for related conditions. Additionally, the Tabular List may contain additional instructions within code descriptions to guide coders in selecting the most precise and accurate code for a given diagnosis.

Overall, the instructional notes in both the Alphabetic Index and the Tabular List play a crucial role in guiding coders during the code selection process. They provide essential information on coding conventions, rules, and specific instructions, ensuring that the assigned codes accurately represent the documented diagnoses or conditions.

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Final answer:

Instructional notes in both the Alphabetic Index and the Tabular List are essential for guiding coders in selecting ICD-10-CM codes.

Explanation:

In the ICD-10-CM coding system, both the Alphabetic Index and the Tabular List provide instructional notes to guide coders in selecting codes. These notes are important for ensuring accurate coding and adherence to coding guidelines.

In the Alphabetic Index, instructional notes can provide additional specificity or exclusions for certain code entries. For example, an instructional note may specify that a particular code should only be used for a certain condition or age group.

In the Tabular List, there are also instructional notes that provide guidance on code sequencing, combination codes, and other important coding rules. These notes help coders determine the correct code based on specific conditions or circumstances.

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Fitness is basically the same among individuals in the population.
A. Large population
B. random mating
C. no mutations .
D. no natural selection​

Answers

Answer: D. no natural selection

Explanation:

Fitness refers to the passing down of genetic make up based on the environmental requirements for reproduction and survival.

Answer choice A is incorrect, as large population, refers to the fact the more individuals in the population, the smaller effect of genetic drift. Genetic drift is a mechanism of evolution in which allele frequencies of a population change over generations due to chance (sampling error).

Answer choice B is incorrect, as random mating, refers to each individuals in a population have the same chance of passing on its alleles. An example of random mating includes: lions with darker fur color have the same chance to reproduce as lions with a lighter fur color.

Answer choice C is incorrect, as no mutations, refers to no changes to genes, new alleles are not introduced into the populations gene pool.

D is correct, no natural selection is when no phenotype can have a selective advantage over another - all individuals have equal fitness. And that correlates with the fitness being the same among all individuals in the population.

Help me solve it my life depends on it

Answers

The correct matches are:

C. ChromosomeF. NucleusE. Eukaryotic cellA. DNA

What are chromoomes?

C. Chromosome: Chromosomes are structures within cells that contain DNA, genes, and other genetic material.

F. Nucleus: The nucleus is a membrane-bound organelle found in eukaryotic cells that contains the cell's DNA and is responsible for controlling cell functions and gene expression.

E. Eukaryotic cell: Eukaryotic cells are cells that have a true nucleus enclosed within a membrane and other membrane-bound organelles. They include cells of plants, animals, fungi, and protists.

A. DNA: DNA (deoxyribonucleic acid) is a molecule that carries the genetic instructions used in the development and functioning of all living organisms. It contains the genetic information necessary for the growth, development, and reproduction of cells and organisms.

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What is it called when groups of organisms show a rapid rate of diversification in their form for a period of time?

Adaptive radiation
Extinction
Macroevolution
Speciation

Answers

The term for groups of organisms showing rapid diversification in their form for a period of time is "adaptive radiation."

The term that describes groups of organisms showing a rapid rate of diversification in their form for a period of time is "adaptive radiation." Adaptive radiation occurs when a single ancestral species gives rise to multiple descendant species, each adapted to different ecological niches or environments.During adaptive radiation, organisms exploit vacant ecological niches, leading to the evolution of diverse traits and adaptations. This process often occurs in response to significant environmental changes, such as the availability of new resources, colonization of new habitats, or following mass extinctions.Adaptive radiation can lead to the emergence of new species with distinct morphological, physiological, and behavioral characteristics. It plays a crucial role in shaping the diversity and complexity of life on Earth, resulting in the evolution of various species that are specialized to thrive in different ecological settings.

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In Activity 2, which of the respirometers serves as a control? Explain your answer! Why was it the control? You should write at least 3 sentences to explain this. Respirometer A contains germinated beans. respirometer B contains dormant beans and plastic beads respirometer C contains plastic beads.

Answers

In Activity 2, the respirometer C serves as the control. A control is an essential part of any scientific experiment as it provides a baseline against which the experimental results can be compared.

Respirometer C containing only plastic beads does not contain any living organisms and therefore does not undergo cellular respiration. By comparing the results of respirometers A and B with the control (respirometer C), any changes in oxygen consumption and carbon dioxide production can be attributed to the metabolic activity of the germinated beans in respirometer A and the dormant beans in respirometer B.

This allows researchers to determine the specific effects of germination on cellular respiration by isolating the variables and eliminating any external factors that could influence the results.

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How does the pattern of starch storage relate to the distribution of chlorophyll

Answers

Answer: The pattern of starch storage is closely related to the distribution of chlorophyll in plants

Explanation:

Chlorophyll is a green pigment that helps plants to absorb light energy and convert it into chemical energy via photosynthesis. Starch, on the other hand, is a complex carbohydrate that is used by plants as a storage form of energy.

Chlorophyll is predominantly found in the chloroplasts of plant cells, which are responsible for carrying out photosynthesis. The chloroplasts are found mainly in the leaves of the plant, where they are exposed to light. Therefore, the highest concentration of chlorophyll is found in the leaves of the plant.

Starch, on the other hand, is synthesized in the chloroplasts of the plant cells during photosynthesis. The starch is then stored in different parts of the plant, depending on the plant species. Some plants store starch in their leaves, while others store it in their stems, roots, or even fruits.

In general, plants that have a high concentration of chlorophyll in their leaves tend to store more starch in their leaves. This is because the leaves are the primary site of photosynthesis and starch synthesis. However, some plants, such as potatoes, store most of their starch in their underground tubers.

Therefore, the pattern of starch storage in plants is closely related to the distribution of chlorophyll, with the highest concentrations of both found in the leaves of the plant. However, the specific pattern of starch storage can vary between different plant species, depending on their individual needs and adaptations.

Is the hypothesis a plant can show it is alive by growing testable

Answers

The statement "a plant can show it is alive by growing" is not a testable hypothesis as it lacks specificity, a measurable variable, and conditions that can be manipulated or controlled in an experiment.

The statement "a plant can show it is alive by growing" is not a hypothesis, but rather an observation or a general statement. A hypothesis is a proposed explanation or prediction that can be tested through experimentation or observation.

To form a testable hypothesis related to this statement, we would need to provide a specific and measurable variable to investigate. For example, a testable hypothesis could be: "Increasing the amount of sunlight exposure will result in faster growth rates of plants." This hypothesis can be tested by conducting an experiment where different groups of plants are exposed to varying levels of sunlight, and their growth rates are measured and compared.

In the given statement, "growing" is a general characteristic of plants and does not provide a specific variable that can be measured or manipulated. Additionally, the statement does not specify any conditions or factors that can be controlled or changed to test the hypothesis.

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19. What does IDLH stand for?
A. Immediately Damaging to Low Health
b. Ideal Dose for Life and Health
c. Immediately Dangerous to Life and Health
d. Inadequate Decontamination Looks Hideous

Answers

c I: immediately D: dangerous T: to L:live
H/ health

When the carbohydrate cellobiose is digested into two glucose monosaccharide sugars (by cellulase in certain fungal species), the resulting glucose monomers are properly defined as: A. the catalysts
B. the substrates
C. the enzymes
D. the reactants
E. the products

Answers

When the carbohydrate cellobiose is digested into two glucose monosaccharide sugars (by cellulase in certain fungal species), the resulting glucose monomers are properly defined as the products

The correct answer is option E.

When the carbohydrate cellobiose is digested into two glucose monosaccharide sugars by cellulase in certain fungal species, the resulting glucose monomers are properly defined as the products.

In a chemical reaction, reactants are the starting materials or substances that undergo a change, while products are the resulting substances formed after the reaction. In this case, cellobiose is the substrate, which is the molecule that undergoes the enzymatic reaction. Cellulase is the enzyme responsible for catalyzing the digestion of cellobiose into glucose monomers.

The enzyme cellulase acts as a catalyst in the reaction, facilitating the breakdown of cellobiose into glucose. Catalysts are substances that increase the rate of a chemical reaction without being consumed or permanently changed themselves. However, in the context of the given question, the glucose monomers produced are the final result or product of the enzymatic digestion process.

Therefore, in the digestion of cellobiose, the resulting glucose monomers are correctly identified as the products (option E).

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Summarize your results from your data tables. Compare the results from the respirometers containing germinating and dormant peas. Speculate about the cause(s) of any difference between the two pea samples, and explain your reasoning.

Answers

The data tables show that the respirometers containing germinating peas consumed more oxygen than the respirometers containing dormant peas. The difference between the two samples was most evident during the first 10-minute interval. After this time, the oxygen consumption of the two groups became more similar.

This difference can be explained by the fact that germinating peas are actively growing and require more energy than dormant peas. As a result, they consume more oxygen through cellular respiration. Dormant peas, on the other hand, are not actively growing and require less energy, so they consume less oxygen.

The difference in oxygen consumption between the two groups decreased over time because the germinating peas eventually used up their stored energy and slowed down their metabolic rate. The dormant peas, however, continued to consume oxygen at a relatively constant rate because they had less stored energy to begin with.

Overall, the data suggest that the metabolic rate of peas is influenced by their growth stage and energy needs. Germinating peas require more energy and therefore consume more oxygen than dormant peas.

Peter and Rosemary Grant spent years on the Galápagos Islands studying changes in __________ populations​

Answers

Peter and Rosemary Grant spent years on the Galápagos Islands studying changes in finch populations.

Peter and Rosemary Grant spent years on the Galápagos Islands studying changes in finch populations. Their research focused on observing and analyzing the variations in the populations of finches, which are a group of closely related bird species found in the Galápagos archipelago.The Grants' study was inspired by Charles Darwin's observations of finch diversity during his visit to the Galápagos Islands, which played a significant role in developing his theory of natural selection. The Grants aimed to investigate how natural selection and environmental factors influenced the evolution of finches and their adaptation to different habitats within the islands.Through meticulous fieldwork, the Grants collected data on various traits of finches, such as beak size and shape, body size, and plumage coloration. They observed how these characteristics changed over time in response to factors like food availability, competition, and climatic variations.By studying the finch populations, the Grants were able to provide empirical evidence supporting Darwin's theory of natural selection and gain insights into the mechanisms driving evolutionary changes in response to environmental pressures. Their research significantly contributed to our understanding of evolution and the role of natural selection in shaping species diversity.

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