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Questions in mathematics

📝 Answered - a) $98 \div 11$ b) $\frac{764}{19}$ c) $\frac{798}{8 \times 41}$

📝 Answered - Select the best answer for the question. 13. What is $4^3$ in expanded form? A. $12 \times 12 \times 12$ B. $8 \times 8$ C. $3 \times 3 \times 3 \times 3$ D. $4 \times 4 \times 4

📝 Answered - Solve the system with the addition method: $\left\{\begin{array}{ll} 4 x+10 y & =68 \\ x+8 y & =39 \end{array}\right.$ Answer: $(x, y)=($ $\square$ , $\square$ ) Enter your answers as integers or as reduced fraction(s) in the form A/B.

📝 Answered - Suppose an isosceles triangle [tex]A B C[/tex] has [tex]A=\frac{\pi}{4}[/tex] and [tex]b=c=3[/tex]. What is the length of [tex]a^2[/tex]? A. [tex]3^2(2-\sqrt{2})[/tex] B. [tex]3^2(\sqrt{2}-2)[/tex] C. [tex]3^2(2+\sqrt{2})[/tex] D. [tex]3^2 \sqrt{2}[/tex]

📝 Answered - If the curves \(y^2 = 6x\), \(9x^2 + by^2 = 16\) intersect each other at right angles, then the value of b is: (A) 6 (B) 7 (C) 2 (D) 4 (E) 9 (F) 2

📝 Answered - The Laplace transform of y(t) = e^t cos(t) is: (A) \frac{4(s-1)}{[(s-1)^2+4]^2} (B) \frac{2(s+1)}{[(s+1)^2+4]^2} (C) \frac{4(s+1)}{[(s+1)^2+4]^2} (D) \frac{2(s-1)}{[(s-1)^2+4]^2}

📝 Answered - Find the next three terms of the given sequences and compute the common ratio with complete solutions. 1) 1/2, 2, 4, ____, ____, ____ 2) 10, 5, ____, ____, ____ 3) 7, 14, ____, ____, ____

📝 Answered - What is the value of the function when x = -3 in the piecewise function [tex]g(x) = \begin{cases} -2x + 2 & \text{when } x < 1 \\ 3x & \text{when } x \ge 1 \end{cases}[/tex]

📝 Answered - 5. If ₹26 is divided into 4 equal parts, each part would be? (a) ₹5.5 (b) ₹6.50 (c) ₹6 (d) ₹4.60 6. Four eleventh of x equals 10 is written as------ (c) (4/11)x = 10 (d) (4/11)x = 20

📝 Answered - Miguel paid a total of $12,000 for stock that was $8 per share. If he sold all his shares for $15,000, how much did he make per share? A. $2 B. $8 C. $10 D. $12