Questions in mathematics

Questions in mathematics

📝 Answered - Number of real solutions of |x - 3| + 2|x + 1| = 4 is: (1) 0 (2) 1 (3) 2 (4) infinite

📝 Answered - If (150! - 1) is divisible by a prime number x, then which of the following is true? A. x = 2 B. x = 3 C. 3 < x ≤ 150 D. x > 150

📝 Answered - A factory produces 235,000 toys every month. How many toys will be produced in a year? If the cost of each toy is Rs. 125, find the total cost of toys.

📝 Answered - Which best describes the relationship between the successive terms in the sequence shown? 9, -1, -11, -21, ... A. The common difference is -10. B. The common difference is 10. C. The common ratio is -9. D. The common ratio is 9.

📝 Answered - Convert the decimal $0.\overline{5}$ to a fraction.

📝 Answered - What are the $x$- and $y$-coordinates of point P on the directed line segment from $K$ to $J$ such that $P$ is $\frac{3}{5}$ the length of the line segment from K to J? $x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$ $v=\left(\frac{m}{m+n}\right)\left(v_2-v_1\right)+v_1$ A. $(40,96)$ B. $(85,105)$ C. $(80,104)$ D. $(96,72)$

📝 Answered - What are the first two steps to graph [tex]y=\frac{4}{5} x+2[/tex]? What is the first step? A. Plot the point [tex](0,2)[/tex]. B. Plot the point [tex](2,0)[/tex]. C. Plot the point [tex](5,4)[/tex]. D. Plot the point [tex](4,5)[/tex]. What is the next step? A. From this point, move 4 units up (the rise) and 5 units to the right (the run). B. From this point, move 5 units down (the rise) and 4 units to the left (the run). C. From this point, move 5 units up (the rise) and 4 units to the right (the run). D. From this point, move 2 units up (the rise) and [tex]\frac{4}{5}[/tex] units to the right (the run).

📝 Answered - Convert to the logarithmic equation that has the same meaning. [tex]g^d=34[/tex] The equation is $\square$ . (Use integers or fractions for any numbers in the equation.)

📝 Answered - Jasmin has 500 marbles in a bag. Among them, 20% of the blue marbles are green. Thirty percent of the marbles are yellow, and 50% of the marbles are green. Find the number of marbles of each color.

📝 Answered - Let [tex]A = \begin{bmatrix} \cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha \end{bmatrix}[/tex], ([tex]\alpha \in \mathbb{R}[/tex]) such that [tex]A^{32} = \begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}[/tex]. Then a value of [tex]\alpha[/tex] is: