Questions in mathematics

Questions in mathematics

📝 Answered - The distance it takes a truck to stop can be modeled by the function [tex]d(v)=\frac{2.15 v^2}{64.4 f}[/tex] [tex]d=[/tex] stopping distance in feet [tex]v=[/tex] initial velocity in miles per hour [tex]f= a[/tex] constant related to friction When the truck's initial velocity on dry pavement is 40 mph, its stopping distance is 138 ft. Determine the value of [tex]f[/tex], rounded to the nearest hundredth. Choose the quadratic model for the situation. A. [tex]d(v)=\frac{2.15 v^2}{.039}[/tex] B. [tex]d(v)=\frac{2.15 v^2}{64.79}[/tex] C. [tex]d(v)=\frac{2.15 v^2}{25.116}[/tex]

📝 Answered - What is the equation of the line in slope-intercept form that is perpendicular to the line [tex]y=\frac{3}{4} x-2[/tex] and passes through the point (-12,10)? A. [tex]y=-\frac{4}{3} x-6[/tex] B. [tex]y=-\frac{4}{3} x+6[/tex] C. [tex]y=\frac{4}{3} x+26[/tex] D. [tex]y=\frac{4}{3} x+10[/tex]

📝 Answered - The table shows ordered pairs of the function [tex]$y=16+0.5 x$[/tex]. Which ordered pair could be the missing values represented by [tex]$(x, y)$[/tex]? [tex]$(0,18)$[/tex] [tex]$(5,19.5)$[/tex] [tex]$(8,20)$[/tex] [tex]$(10,21.5)$[/tex]

📝 Answered - Select the best answer for the question. Identify the coefficient of [tex]$17 x y^3 z^{12}$[/tex] A. 3 B. 17 C. 1 D. 12

📝 Answered - Find the simplified product $2 \sqrt{5 x^3}\left(-3 \sqrt{10 x^2}\right)$

📝 Answered - Which function has an inverse that is also a function? [tex]$g(x)=2 x-3$[/tex] [tex]$k(x)=-9 x^2$[/tex] [tex]$f(x)=|x+2|$[/tex] [tex]$w(x)=-20$[/tex]

📝 Answered - While abroad in Cairo, Egypt, you want to visit three other cities: Damanhur, Alexandria, and Suez. The following table details the costs of traveling to and from each city. All costs are given in Egyptian pounds (EGP). | Origin and Destination | Cost (EGP) | | :----------------------- | :--------- | | Cairo to Damanhur | 153 | | Cairo to Alexandria | 171 | | Cairo to Suez | 130 | | Damanhur to Cairo | 143 | | Damanhur to Alexandria | 174 | | Damanhur to Suez | 182 | | Alexandria to Cairo | 167 | | Alexandria to Damanhur | 192 | | Alexandria to Suez | 144 | | Suez to Cairo | 133 | | Suez to Damanhur | 156 | | Suez to Alexandria | 156 |

📝 Answered - Express 5.341 in scientific notation. [?] \times 10^{[?]} Enter the coefficient in the green box and the exponent in the yellow box.

📝 Answered - Evaluate the following multiplication calculations: 7577 × 2 = 3272 6789 × 2 = 74367 4237 × 2 = 8462 4641 × 2 = 9282 5130 × 2 = 10260 3282 × 2 = 6642

📝 Answered - Select the correct answer. Which expression is equivalent to the given expression? [tex]$\sqrt{45}$[/tex] A. [tex]$9 \sqrt{5}$[/tex] B. [tex]$5 \sqrt{9}$[/tex] C. [tex]$5 \sqrt{3}$[/tex] D. [tex]$3 \sqrt{5}$[/tex]