Questions in mathematics

Questions in mathematics

📝 Answered - Which quadratic equation is equivalent to (x + 2)² + 5(x+2)-6=0? A. (u + 2)² + 5(u + 2) - 6 = 0 where u = (x-2) B. u2+4+5u-6=0 where u = (x-2) C. u²+5u-6=0 where u = (x+2) D. u²+u-6=0 where u = (x+2)

📝 Answered - Consider vectors [tex]u[/tex] and [tex]v[/tex], where [tex]u =\langle 1,-1\rangle[/tex] and [tex]v =\langle 1,1\rangle[/tex]. What is the measure of the angle between the vectors? A. [tex]0^{\circ}[/tex] B. [tex]60^{\circ}[/tex] C. [tex]90^{\circ}[/tex] D. [tex]180^{\circ}[/tex]

📝 Answered - [tex]$\sqrt{98}$[/tex]

📝 Answered - 1. In which place is 7 in the following numbers in the national numeration system? (a) 2378 (b) 22307 (c) 44289782 (d) 720081810 2. What is the place value of 6 in each of the following national numerations? (a) 612 (b) 5430630 (c) 262140002 (d) 611212110 3. What is the place and numerical value of 3 in each of the following national numerations? (a) 3252 (b) 32000122 (c) 3001122520 (d) 400300278 4. What is the value of 9 in each of the following national numerations? (a) 39004003 (b) 8920418435 (c) 9040041673 (d) 2946047802

📝 Answered - k(a) = |a| - 2, find k(-9)

📝 Answered - Enzo is studying the black bear population at a large national park. He finds that the relationship between the elapsed time [tex]$t$[/tex], in years, since the beginning of the study, and the black bear population [tex]$B(t)$[/tex] , in the park is modeled by the following function. [tex]$B(t)=2500 \cdot 2^{0.01 t}$[/tex] According to the model, what will the black bear population be at that national park in 25 years? Round your answer, if necessary, to the nearest whole number.

📝 Answered - For [tex]f(x)=x+3[/tex] and [tex]g(x)=5x+3[/tex], find the following functions. a. [tex](f \circ g)(x)[/tex]; b. [tex](g \circ f)(x)[/tex]; c. [tex](f \circ g)(1)[/tex]; d. [tex](g \circ f)(1)[/tex]

📝 Answered - What is the area of a circle whose radius is: A. [tex]$8 \pi$[/tex] B. [tex]$18 \pi$[/tex] C. [tex]$3 \pi$[/tex] D. [tex]$9 \pi$[/tex]

📝 Answered - $\begin{array}{r}y \stackrel{*}{=}-2 x \\ 5 x-7 y=-38\end{array}$

📝 Answered - Copy and complete the table below by describing how you decided whether the set of number sets in the preceding column is a pattern or not: \begin{tabular}{|l|l|l|}\hline Number set & Pattern or not, a pattern & Description \\\hline 1; 3; 5; 7; 9; ... & a) - ${ }^{(2)}$ & b) - (2) \\\hline 2; 3; 4; 4; 6; 5; $8 \ldots$ & c) - (2) & d) - ${ }^{(2)}$ \\\hline 9; 18; 729; 6569; ... & e) - (2) & f) - (2) \\\hline 7; 8; 10; 12; 14; ... & g) - (2) & h) - (2) \\\hline 14; 28; 34; 41; 48; ... & i) - (2) & j) - (2) \\\hline\end{tabular}