What is the formula for exponential growth when a population doubles every fixed interval?
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Mathematics
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9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The formula is n = n0 * (2)^(t/T), where n0 is the initial population, t is the time elapsed, and T is the doubling time.
2.
FLASHCARD QUESTION
Front
How do you find the coordinates of a point after a 180° rotation and reflection?
Back
To find the new coordinates after a 180° rotation about the origin, negate both coordinates (x, y) to (-x, -y). Then, reflect across the y-axis by negating the x-coordinate.
3.
FLASHCARD QUESTION
Front
What is the method to find the intersection point of two lines given by their equations?
Back
Substitute the value of x from one equation into the other equation to find the corresponding y-coordinate.
4.
FLASHCARD QUESTION
Front
What does the vertex form of a quadratic function look like?
Back
The vertex form is f(x) = a(x-h)^2 + k, where (h, k) is the vertex of the parabola.
5.
FLASHCARD QUESTION
Front
How do you calculate the percentage of items sold from a total?
Back
Percentage sold = (Number of items sold / Total number of items) * 100.
6.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.
7.
FLASHCARD QUESTION
Front
What is the general form of a linear equation in two variables?
Back
The general form is Ax + By = C, where A, B, and C are constants.
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