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Questions in Grade High-school

[Homework Help] During the time when humans moved from Africa throughout the world, choose the correct statement: A. Birth and death rates were both fairly low. B. Population growth was rapid. C. Population growth was slow. D. There was no population growth.

[Homework Help] Which of the following is NOT considered a potential cause of extinction? (A) Introduction of a new predator (B) Introduction of a new parasite (C) Introduction of a new mutation (D) Interspecific competition for limited resources (E) Habitat destruction Please explain the reasoning behind your choice.

[Homework Help] What is [tex]\frac{7}{10} - \frac{1}{2}[/tex]?

[Homework Help] Find the discriminant of the equation: \[ 9x^2 + 12x + 4 = 0 \]

[Homework Help] What is the domain (in interval notation) of the following functions? 1. \( g(x) = \frac{3}{5x-4} \) 2. \( h(x) = \frac{\sqrt{x}}{x-5} \) 3. \( f(x) = \frac{\sqrt{x}}{x^2-5x} \) 4. \( g(x) = \frac{\sqrt{x}+5}{x^2-x-20} \) 5. \( h(x) = \frac{3}{x^2+1} \) 6. \( f(x) = \frac{\sqrt{x-2}}{x+1} \) 7. \( g(x) = \frac{x^2}{3x^2-x-2} \) 8. \( h(x) = 3(x-4)^2-7 \) Note: Number sets in parenthesis are either on top of or beneath the fraction bar, and ^2 here represents a number squared.

[Homework Help] Solve the system of equations by substitution: 1. [tex]y = -3x + 5[/tex] 2. [tex]5x - 4y = -3[/tex]

[Homework Help] In how many ways can 50 cards be chosen from a standard deck of 52 cards using permutations?

[Homework Help] Find all solutions of the equation. \[ y = -x \] \[ y = x \ln x \]

[Homework Help] If you left a board lying in the grass for a few days, what would happen to the grass underneath the board? Why?

[Homework Help] Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they request. He surveyed 500 students at his school with the following questions: "Are you in the Spanish club?" and "Did you get the Spanish class you requested?" The results are shown in the table below. | | Spanish Club | Not in Spanish Club | Total | |-----------------------------|--------------|---------------------|-------| | Received Spanish class requested | 265 | 100 | 365 | | Did not get Spanish class requested | 70 | 65 | 135 | | Total | 335 | 165 | 500 | Help Josh determine if all students at his school have an equal opportunity to get the Spanish class they requested. Show your work and explain your process for determining the fairness of the class assignment process.