Questions and Answers
Which function has a horizontal asymptote of y = 3?
What is the length of a pendulum that makes one full swing in 2.2 seconds?
4 feet
What is the following product?
A
What is the solution of the given equation?
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What are the domain and range of the function?
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What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?
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By what approximate percent does the population change per day?
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Which expression is equivalent to the given expression assuming x is a positive integer?
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Which function is shown in the graph below?
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What is the solution of the given equation?
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What is the range of the function f(x) = -2(6x) + 3?
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What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake?
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In which step did the student make the first error?
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Which of the following shows the graph of y = -(2)x - 1?
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Which of the following is an equivalent form of the equation for the population of sample 2?
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Study Notes
Functions and Asymptotes
- The function f(x) = 2(4x) + 3 has a horizontal asymptote at y = 3.
Pendulum Swing Calculation
- To find the length of a pendulum that swings in 2.2 seconds, the result is 4 feet using the formula related to pendulum motion (with π approximated as 3.14).
Products and Solutions
- Solution to the product question represented as mc017-1 is labeled A.
- The solution for equation mc013-1 yields x = 53.
- For mc017-1, the solution is x = 3.
Domain and Range
- For the function represented by mc017-1, the domain is defined as x > 1, while the range includes all real numbers.
- The range of the function f(x) = -2(6x) is denoted as B.
Hurricane Wind Velocity
- The mean sustained wind velocity can be tied to air pressure measured in millibars; at 64 meters per second, the pressure is approximately 363 millibars.
Bacteria Population Dynamics
- The bacteria population changes approximately by a 4.8% decrease per day based on the given growth equation.
- A biologist starts with a sample of 20,000 bacteria, which doubles every 10 days. After 7 days, a second sample also starts at 20,000 bacteria.
Earthquake Magnitude
- The magnitude M of an earthquake can be calculated using the intensity I, with a standard earthquake's intensity S. An earthquake 1,000 times more intense has a magnitude of approximately 3, rounded to the nearest tenth.
Error Analysis in Problem Solving
- In solving the equation represented by mc026-1 through graphing, the first error occurs in Step 2, where a change of base is incorrectly applied.
Graphical Representations
- The function y = -(2)x - 1 is graphically represented by option B.
- Another expression equivalent to mc026-1 is denoted as A, assuming specific conditions presented in mc026-2.
- For the second sample of bacteria, an equivalent form of the growth equation is given as D.
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Prepare for your Algebra 2 unit test with this comprehensive set of flashcards. Each card contains key concepts, equations, and problem-solving techniques essential for mastering the material. Study functions, pendulum formulas, and more to excel in your exam.
