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Questions in mathematics

📝 Answered - Which ordered pair needs to be removed in order for the mapping to represent a function? (-3,-4) (-2,-1) (1,-3) (3,7)

📝 Answered - The angular speed of a point on a planet is [tex]\frac{3 x }{10}[/tex] radian per hour. The equator lies on a circle of radius approximately 4000 miles. Find the linear velocity, in miles per hour, of a point on the equator. The linear speed of a point on the equator is approximately $\square$ miles per hour (Round to the nearest whole number as needed.)

📝 Answered - The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot. | | 4-Wheel Drive | No 4-Wheel Drive | Total | | :----------------- | :------------ | :--------------- | :---- | | Third-Row Seats | 18 | 12 | 30 | | No Third-Row Seats | 7 | 28 | 35 | | Total | 25 | 40 | 65 | What is the probability that a randomly selected car with no 4-wheel drive has third-row seats? A. 0.8 B. 0.7 C. 0.4 D. 0.3

📝 Answered - The area of a rectangle is $(x^4+4 x^3+3 x^2-4 x-4)$, and the length of the rectangle is $(x^3+5 x^2+8 x+4)$. If area = length $\times$ width, what is the width of the rectangle? A. $x+1$ B. $x-9$ C. $x+4$ D. $x-1$

📝 Answered - Determine the appropriate description that matches the system of equations. $\left\{\begin{array}{l} y=5 x-15 \\ y=-5 x+15 \end{array}\right.$ a. Same line with infinite many solutions b. Parallel lines with one solution c. Parallel lines with no solution d. Intersecting lines with one solution

📝 Answered - Which expression is equivalent to $\log _8 4 a\left(\frac{b-4}{c^4}\right)$ ? A. $\log _8 4+\log _8 a-\log _8(b-4)-4 \log _8 c$ B. $\log _8 4+\log _8 a+\left(\log _8(b-4)-4 \log _8 c\right)$ C. $\log _8 4 a+\log _8 b-4-4 \log _8 c-4$ D. $\log _8 4 a-\log _8(b-4)-\log _8 4 c$

📝 Answered - Use a graphing utility with matrix capabilities to find the following, where [tex]u =(-3,2,1,1), v =(0,2,-1,-2)$[/tex], and [tex]w =(1,-2,2,3)$[/tex]. (a) [tex]u +4 v =[/tex] $\square$ (b) [tex]w -2 u =[/tex] $\square$ (c) [tex]3 v +\frac{1}{2} u - w =[/tex] $\square$

📝 Answered - Which of the following could represent a diver's position in relation to the surface of the water after diving into a pool? Select all that apply. 3 meters -2 meters -31 meters $1 \frac{7}{8}$ meters $-2 \frac{1}{2}$ meters

📝 Answered - Select the correct answer. This table defines a function. Which table represents the inverse of the function defined above? A. B. C. D.

📝 Answered - When graphing $y<\frac{-2}{5} x+1$, the boundary line is A. dotted B. solid