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Questions in mathematics

📝 Answered - Which set of ordered pairs could be generated by an exponential function? (1,1), (2, 1/2), (3, 1/3), (4, 1/4) (1,1), (2, 1/4), (3, 1/9), (4, 1/16) (1, 1/2), (2, 1/4), (3, 1/8), (4, 1/16) (1, 1/2), (2, 1/4), (3, 1/6), (4, 1/8)

📝 Answered - The volume of a cylinder is $156 \pi \text{ cm}^3$. What is the volume of a cone with the same base and height as the cylinder? A. $39 \pi \text{ cm}^3$ B. $52 \pi \text{ cm}^3$ C. $78 \pi \text{ cm}^3$ D. $156 \pi \text{ cm}^3$

📝 Answered - 2 Triangle FGH is the image of isosceles triangle FE~=HE FEH after a reflection across line HF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

📝 Answered - \frac{n^2}{2} \div \frac{3}{10}

📝 Answered - Solve $5x + y = -3$ for $y$. A. $y = 5x + 3$ B. $y = -5x + 3$ C. $y = 5x - 3$ D. $y = -5x - 3

📝 Answered - What is the slope of a line that is perpendicular to the line [tex]y=8x-8[/tex]?

📝 Answered - The domain of [tex]f(x)[/tex] is the set of all real values except 7, and the domain of [tex]g(x)[/tex] is the set of all real values except -3. Which of the following describes the domain of [tex](g \circ f)(x)[/tex]? A. all real values except [tex]x \neq-3[/tex] and the [tex]x[/tex] for which [tex]f(x) \neq 7[/tex] B. all real values except [tex]x \neq-3[/tex] and the [tex]x[/tex] for which [tex]f(x) \neq-3[/tex] C. all real values except [tex]x \neq 7[/tex] and the [tex]x[/tex] for which [tex]f(x) \neq 7[/tex] D. all real values except [tex]x \neq 7[/tex] and the [tex]x[/tex] for which [tex]f(x)=-3[/tex]

📝 Answered - If $f(x)$ and its inverse function, $f^{-1}(x)$, are both plotted on the same coordinate plane, what is their point of intersection?

📝 Answered - If [tex]$y=4 x^3+2 x+1$[/tex], then find [tex]$\frac{d y}{d x}$[/tex]

📝 Answered - What is the difference in weight between potatoes that weigh [fraction]3/4[/fraction] pound and those that weigh [fraction]1/2[/fraction] pound? Give your answer in simplest form.