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Questions in mathematics

📝 Answered - Simplify: $\sqrt{324}$

📝 Answered - Larry travels 60 miles per hour going to a friend's house and 50 miles per hour coming back, using the same road. He drives a total of 5 hours. What is the distance from Larry's house to his friend's house, rounded to the nearest mile? (A) 110 (B) 126 (C) 136 (D) 154

📝 Answered - n 9: Rebecca is x years old. Mary is 8 years older than Rebecca. Jill is three times older than Mary. The sum of their ages is 67. (a) Form an equation in terms of [tex]$x$[/tex] (b) Solve the equation and work out Rebecca's, Mary's, and Jill's ages. 10: Andy has [tex]$x$[/tex] pence. Kelly has 7 pence more than Andy. Georgia has 9 pence less than Andy. The total amount of money they have is [tex]$£ 1.48$[/tex]

📝 Answered - A composition of transformations maps $\triangle XYZ$ to $\Delta X^{"'} Y^{"'} Z^{"''}$. The first transformation for this composition is A. a $180^{\circ}$ rotation about point X B. a $270^{\circ}$ rotation about point $X$ C. a translation to the right D. a reflection across line $m$ and the second transformation is a $90^{\circ}$ rotation about point $X^{\'}$.

📝 Answered - Which is equivalent to $(60-30)^3$? A. 900 B. 2,700 C. 27,000

📝 Answered - Which statements about the graph of the function [tex]f(x)= 2 x^2-x-6[/tex] are true? Select two options. A. The domain of the function is [tex] \left\{x \left\lvert\, x \geq \frac{1}{4}\right.\right\}[/tex]. B. The range of the function is all real numbers. C. The vertex of the function is [tex]\left(\frac{1}{4},-6 \frac{1}{8}\right)[/tex]. D. The function has two x-intercepts. E. The function is increasing over the interval [tex]\left(-6 \frac{1}{8}, \infty\right)[/tex].

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - What is the solution to this system of equations? $\begin{array}{l} y=2-x \\ 3 x-2 y=16 \end{array}$ (4,-2) (0,2) (5,-3) (-4,2)

📝 Answered - For each pair of coordinates below, convert to polar coordinates. Give the answer to one decimal place. Don't use the polar conversion function on your calculator. 11. [tex]P(6,3)[/tex] A. [tex]\left(-6.7,26.6^{\circ}\right)[/tex] B. [tex]\left(-6.7,153.4^{\circ}\right)[/tex] D. [tex]\left(9,26.6^{\circ}\right)[/tex] B. [tex]\left(6.7,26.6^{\circ}\right)[/tex] 12. [tex]Q(-12,4)[/tex] A. [tex]\left(-8,-18.4^{\circ}\right)[/tex] B [tex]\left(12.6,161.6^{\circ}\right)[/tex] D. [tex]\left(12.6,-161.6^{\circ}\right)[/tex] E. [tex]\left(-12.6,161.6^{\circ}\right)[/tex]

📝 Answered - Peter has a kayak business. For every kayak he rents, he donates $15 \% of the rental price to a charity. Which equation can be used to find the amount of money Peter donates for a $40 rental? A. $15 \times 40$ B. $0.15 \times 40$ C. $0.15 \div 40$ D. $15 \div 40$