Questions in mathematics

Questions in mathematics

📝 Answered - $\frac{5}{\sqrt{2}+7}$

📝 Answered - Ramesh rides a bike 7 1/2 km to reach his college. If he can ride 5/8 km in 1 minute, how long will it take for him to reach the college?

📝 Answered - Si el $20 x \%$ del $15 \%$ de $\frac{1}{5}$ del $20 \%$ de 1200 es igual a 36. Halla el valor de $M=\sqrt{x}+10$

📝 Answered - As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table. | | | | :-------------------- | :-------------------- | | Point Values for Marble Game | | | Black Marble Points | Red Marble Points | | Both black: +2 points | Both red: +4 points | | Different colors: -1 point | Different colors: -1 points | | Both red: 0 points | Both black: 0 points | If Seth is challenged to a game by a classmate, which statement is correct in all aspects in helping him make the correct choice? A. Since [tex]E ( red )= E ( black )[/tex], it is a fair game, so it doesn't matter which color Seth chooses. B. Since [tex]E( black )=0.24[/tex] and [tex]E ( red )=0.16[/tex], Seth should choose to play black marbles. C. E (red) will be twice that of E (black), so Seth should choose to play red marbles. D. Both options will lose points because there are two ways to lose points and only one way to gain points. He should choose neither color.

📝 Answered - Find the derivative of the given function. [tex] \begin{array}{l} f(x)=2 \pi-7 \\ f^{\prime}(x)=[?] \end{array} [/tex]

📝 Answered - A stack of playing cards contains 4 jacks, 5 queens, 3 kings, and 3 aces. Two cards will be randomly selected from the stack. What is the probability that a queen is chosen and replaced, and then a queen is chosen again? $\frac{1}{9}$ $\frac{2}{21}$ $\frac{16}{225}$ $\frac{4}{9}$

📝 Answered - Find the limit if it exists. $\lim _{x \rightarrow 0}(1+x)^{1 / 6 x}$ A. $e$ B. $e^{1 / 6}$ C. $\frac{1}{e^6}$ D. $e^6$

📝 Answered - Activité de réinvestissement On considère les équations et inéquations suivantes : $\begin{array}{l} \left(E_1\right):-2(x+3)=x+6 \\ \left(E_2\right): 2 x-\frac{3}{2}=\frac{7}{9} \\ \left(I_1\right): 5 x+3<10 \\ \left(I_2\right):-3 x+4>-5 x+6 \end{array}$ 1) Résous dans $Q$ les équations $\left(E_1\right)$ et $\left(E_2\right)$ 2) Résous dans $Q$ les inéquations $\left(I_1\right)$ et $\left(I_2\right)$

📝 Answered - Find the equation of the tangent to the given curve at the indicated point. (a) [tex]y=x^3+x^2+1[/tex] (1,3)

📝 Answered - Simplify the expression. [tex]\begin{array}{l} \left(x^4\right)^3 \\ x^{[?]} \end{array}[/tex]