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Questions in mathematics

[Done] Divide $20 a^5 b^3$ by $5 a^2 b$.

[Done] Find the residual values and use the graphing calculator tool to make a residual plot. | x | Given | Predicted | Residual | |---|---|---|---| | 1 | -2.7 | -2.84 | | 2 | -0.9 | -0.81 | | 3 | 1.1 | 1.22 | | 4 | 3.2 | 3.25 | | 5 | 5.4 | 5.28 | Does the residual plot show that the line of best fit is appropriate for the data? A. No, the points are in a curved pattern. B. No, the points are evenly distributed about the $x$ axis. C. Yes, the points are in a linear pattern. D. Yes, the points have no pattern.

[Done] Which of the following is the equation of the line that is perpendicular to [tex]y=-\frac{1}{4} x-2[/tex] and goes through the point [tex](-2,-3)[/tex]? A. [tex]y=-4 x-11[/tex] B. [tex]y=4 x+5[/tex] C. [tex]y=-\frac{1}{4} x-\frac{7}{2}[/tex] D. [tex]y=\frac{1}{4} x-\frac{5}{2}[/tex]

[Done] Copy and complete the table of values for $y=4x$. What values should replace $A, B, C$ and $D$? \begin{tabular}{c|c|c|c|c} $x$ & -1 & 0 & 1 & 2 \\ \hline $y$ & A & B & C & D \end{tabular}

[Done] At a competition with 5 runners, 5 medals are awarded for first place through fifth place. Each medal is different. How many ways are there to award the medals? Decide if the situation involves a permutation or a combination, and then find the number of ways to award the medals. A. Permutation; number of ways = 120 B. Combination; number of ways = 120 C. Permutation; number of ways = 1 D. Combination; number of ways = 1

[Done] Which of the following situations shows Inverse Variation? A. The cost of fish and its weight in kilograms B. The distance traveled by a car and its speed C. The speed of a car and the number of hours travel D. The electrical bill and the number of kilowatt-hour consumption

[Done] In the rectangle, the angle between the diagonals is 50 degrees. The length of the base is 17 cm. Find the length of the side x.

[Done] 15. If f(x) = min(3x + 2, 1 - 5x), what is the maximum possible value of f(x)? (a) 7/8 (b) 8/7 (c) 13/8 (d) 7/13

[Done] State True or False: (a) 892 lies between 800 and 893. (b) 436 comes after 435. (c) Number name of 792 is seven hundred ninety-two. (d) Nine hundred sixty-five is written as 964.

[Done] A parabola is represented by the equation $x^2=4 y$. What are the coordinates of the focus of the parabola? A. $(0,4)$ B. $(0,1)$ C. $(1,0)$ D. $(4,0)$