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Questions in mathematics

📝 Answered - Solve for $x$. $z=8 x-y$

📝 Answered - Select the correct answer. A circle has a radius of 22 centimeters. Arc XY has a length of $\frac{66}{5} \pi$ centimeters. What is the radian measure of the corresponding central angle? A. $\frac{2}{3} \pi$ B. $\frac{3}{5} \pi$ C. $\frac{4}{5} \pi$ D. $\frac{2}{5} \pi

📝 Answered - What is the $y$-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3? $v=\left(\frac{m}{m+n}\right)\left(v_2-v_1\right)+v_1$ -6 -5 5 7

📝 Answered - Consider the system of linear equations: [tex]\begin{array}{l} 2 y=x+10 \\ 3 y=3 x+15 \end{array}[/tex] Which statements about the system are true? Check all that apply. A. The system has one solution. B. The system graphs parallel lines. C. Both lines have the same slope. D. Both lines have the same [tex]$y$[/tex]-intercept. E. The equations graph the same line. F. The solution is the intersection of the 2 lines.

📝 Answered - The volume of a cube is 64 cubic inches. Which expression represents [tex]$s$[/tex], the length of a side of the cube? The formula for the volume of a cube is [tex]$V = s ^3$[/tex]. [tex] \begin{array}{l} s=\sqrt[3]{64} \\ s=64+64+64 \\ s=\sqrt{64} \\ s=64 \cdot 64 \cdot 64 \end{array} [/tex]

📝 Answered - Find the zeros of p(x) = 5x^6(x+2)^7(x-3)^7. Also state the multiplicity of each zero of p(x). A) 0 (multiplicity 6), 2 (multiplicity 7), -3 (multiplicity 7) B) 2 (multiplicity 7), -3 (multiplicity 7) C) -2 (multiplicity 7), 3 (multiplicity 7) D) 0 (multiplicity 6), -2 (multiplicity 7), 3 (multiplicity 7)

📝 Answered - The pattern of numbers below is an arithmetic sequence: [tex]$14,24,34,44,54, \ldots$[/tex] Which statement describes the recursive function used to generate the sequence? A. The common difference is 1, so the function is [tex]$f(n+1)=f(n)+1$[/tex] where [tex]$f(1)=14$[/tex]. B. The common difference is 4, so the function is [tex]$f(n+1)=f(n)+4$[/tex] where [tex]$f(1)=10$[/tex]. C. The common difference is 10, so the function is [tex]$f(n+1)=f(n)+10$[/tex] where [tex]$f(1)=14$[/tex]. D. The common difference is 14, so the function is [tex]$f(n+1)=f(n)+14$[/tex] where [tex]$f(1)=10$[/tex].

📝 Answered - A sequence is defined recursively by the formula [tex]$f(n+1)=-2 f(n)$[/tex]. The first term of the sequence is -1.5. What is the next term in the sequence?

📝 Answered - For the function $y=\ln (x+1)+5$, which of the following statements is true? A. The domain is $(1, \infty)$, and the range is all real numbers. B. The domain is $(-1, \infty)$, and the range is all real numbers. C. The domain is all real numbers, and the range is $[5, \infty)$. D. The domain is $(1, \infty)$, and the range is $[5, \infty)$.

📝 Answered - Select whether the equation has a solution or not. [tex]\sqrt{4 x}=2 \sqrt{2 x-3}[/tex] A. no roots B. roots