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Questions in mathematics

[Jawaban] Consider a circle whose equation is $x^2+y^2-2 x-8=0$. Which statements are true? Select three options. A. The radius of the circle is 3 units. B. The center of the circle lies on the $x$-axis. C. The center of the circle lies on the $y$-axis. D. The standard form of the equation is $(x-1)^2+y^2=3$. E. The radius of this circle is the same as the radius of the circle whose equation is $x^2+y^2=9$.

[Jawaban] What is the value of $x$ in the product of powers 5 $x=\square$ What is the value of $y$ in the product of $p^{-3} \cdot p^{-6}=p^y$ $y=$ $\square$ What is the value of $n$ in the product of $9^2 \cdot 9^{-7} \cdot 9^n=9^{-5}=\frac{1}{9^5}$ ? $n=\square$

[Jawaban] Which is the better deal: paying $42.70 for 1 show ticket or paying $63.18 for 9 show tickets?

[Jawaban] Solve for $w$ in the proportion. $\frac{w}{7}=\frac{65}{455}$

[Jawaban] Which expression is equivalent to $2 a^2 b^2 \cdot 4 b^3 c^2$? A. $6 a^2 b^3 c^2$ B. $6 a^2 b^6 c^2$ C. $8 a^2 b^5 c^2$ D. $8 a^2 b^6 c^2$

[Jawaban] = 10 \times 4 \cdot 5 =

[Jawaban] A. $\left(15 x^2-2 x+3\right)-\left(5+6 x+7 x^2\right)$

[Jawaban] Factorise a.) [tex]x^3-3 x^2-x+3[/tex]

[Jawaban] Simplify the expression below. $\left(x^{-4}\right)^{-6}$ A. $x^{-24}$ B. $x^{-10}$ C. $x^{10}$ D. $x^{24}$

[Jawaban] The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population? | Sample size | Average height (inches) | |---|---| | 10 | 63 | | 20 | 54 | | 30 | 57 | | 40 | 59 | A. 63 B. 54 C. 59 D. 57