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Questions and Answers
Which mathematical operation would result in a decrease in the value of a number?
Which mathematical operation would result in a decrease in the value of a number?
- Subtracting a positive number (correct)
- Multiplication by a number greater than one
- Adding a positive number
- Dividing by a number greater than one
What is the result of $5(7 + 3)$?
What is the result of $5(7 + 3)$?
- 60 (correct)
- 50
- 40
- 20
Which of the following represents the greatest value?
Which of the following represents the greatest value?
- $1^5$
- $4^1$
- $3^2$
- $2^3$ (correct)
When solving the equation $x + 5 = 10$, what is the value of $x$?
When solving the equation $x + 5 = 10$, what is the value of $x$?
What is the slope of the line represented by the equation $y = 2x + 3$?
What is the slope of the line represented by the equation $y = 2x + 3$?
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Study Notes
Populations and Communities
- Ecosystems are complex interactions between organisms and their environment.
- Populations are groups of individuals of the same species.
- Communities are groups of populations.
- Populations and communities interact with their environment.
- Population size can change over time.
- Researchers use sampling techniques to study population growth or decline.
Populations as Interacting Groups
- Populations consist of organisms of the same species living in the same area.
- Members of a population typically breed with one another.
- Reproductive isolation separates different populations of the same species.
- A population is a group of individuals that live in the same area at the same time and can interbreed.
Estimating Population Size
- Estimating population size is often more practical than counting every individual.
- Random sampling techniques are crucial to avoid bias.
- Sampling error is a common issue in population estimation.
- Researchers often use methods like random sampling with quadrats or mark-and-recapture.
Sampling Sessile Organisms
- Systematic sampling involves measuring or counting organisms at regular intervals.
- Random sampling involves arbitrarily chosen zones of a geographic distribution.
- Sampling error is inevitable in estimating population size.
- The standard deviation of the mean of a sample provides a measure of variation.
Sampling Motile Organisms
- The capture-mark-release-recapture method is used to estimate the population of motile organisms.
- The number of marked individuals recaptured in a second sample provides an estimate of the total population.
- Certain assumptions are crucial to the validity of this method (closed population, equal chance of capture, no in- or emigration).
Carrying Capacity
- Carrying capacity (K) is the maximum population size an environment can support.
- Some factors that limit population growth are food availability, water, presence of predators, and diseases.
- Resources like food and space can limit population size.
Negative Feedback
- Negative feedback mechanisms help populations stay within their carrying capacity.
- Density-dependent factors tend to regulate population size towards carrying capacity (e.g., increased competition for resources, disease spread).
- Density-independent factors affect both large and small populations equally (e.g., climate change, natural disasters).
Population Growth Curves
- Population growth curves often show exponential growth initially.
- The transition phase slows population growth.
- The plateau phase occurs when the population reaches carrying capacity.
Modeling Growth Curves
- Population growth curves can be modeled.
- The sigmoid curve is an idealized representation.
Communities
- Communities comprise all populations in an area.
- Interactions between populations (e.g., competition, cooperation).
Intraspecific and Interspecific Relationships
- Intraspecific relationships refer to interactions within the same species (cooperation and competition).
- Interspecific relationships refer to interactions between different species (e.g., predation, competition, mutualism).
- Interspecific competition occurs when two species compete for the same resources.
Predator-Prey Relationships
- Predator-prey relationships can affect the size of populations of both predator and prey.
- Predator-prey relationships exhibit cycles.
- Predation, along with other factors such as food availability and disease, controls population size.
Endemic and Invasive Species
- Endemic species are found only in a specific geographic area.
- Invasive species are introduced from somewhere else and can outcompete native species.
The Chi-Squared Test
- The chi-squared test can be used to investigate whether two species tend to occur together.
- The presence or absence of two species in sampling sites can indicate whether competition exists.
Energy Flow and Matter
- Organisms require energy for biological processes.
- In ecosystems, matter can be recycled but energy cannot (law of conservation to mass and the 2nd law of thermodynamics).
- Photosynthesis and cellular respiration are critical for energy transformations.
Trophic Levels & Cycles
- Trophic levels represent energy transfer in ecosystems.
- Food chains and food webs illustrate the connections between organisms.
- Biological concepts like autotrophs and heterotrophs are part of the trophic levels structure.
- The carbon cycle shows how carbon moves through ecosystems.
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