Questions in mathematics

Questions in mathematics

📝 Answered - In how many ways can the 18 members of a Boy Scout troop elect a president, a vice-president, and a secretary, if no member can hold more than one office?

📝 Answered - 1) [tex]z=6 x^7 y^2+3 x^3 y^3+y^{16}[/tex] 2) [tex]Z=5 x^4 y^8[/tex] 4) [tex]z=8 x^2 y-11 x y^3[/tex] f) [tex]z=3 x^2+12 x y+5 y^2[/tex] Verify all the first and second order derivatives and prove Young's theorem in Economics

📝 Answered - $p=2, q=-\frac{3}{2}, \gamma=-2$ (b) $p^2 \gamma^2+4 q^2$

📝 Answered - $-3 x^4+5$ extends in Quadrant 3 and Quadrant 4. (True/False)

📝 Answered - Solve $x / 10=-7$. A) $x=3$ B) $x=-70$ C) $x=-0.7$ D) $x=-17$

📝 Answered - Simplify $\frac{7}{3-\sqrt{2}}$

📝 Answered - In which triangle is the value of [tex]x[/tex] equal to [tex]cos^{-1}\left(\frac{4.3}{6.7}\right)[/tex]? (Images may not be drawn to scale.)

📝 Answered - Complete the missing reasons for the proof. Given: [tex]4(x-2)=6 x+18[/tex] Prove: [tex]x=-13[/tex] | Statements | Reasons | |---|---| | 1. [tex]4(x-2)=6 x+18[/tex] | Given | | 2. [tex]4 x-8=6 x+18[/tex] | Distributive property | | 3. [tex]-2 x-8=18[/tex] | | | 4. [tex]-2 x=26[/tex] | Addition property of equality | | 5. [tex]x=-13[/tex] | | Which of the following correctly fills in the missing reasons? A. addition property of equality; division property of equality B. subtraction property of equality; multiplication property of equality C. subtraction property of equality; division property of equality D. addition property of equality; multiplication property of equality

📝 Answered - Which number can each term of the equation be multiplied by to eliminate the fractions before solving? [tex]6-\frac{3}{4} x+\frac{1}{3}=\frac{1}{2} x+5[/tex] A. 2 B. 3 C. 6 D. 12

📝 Answered - If [tex]$a \Rightarrow b$[/tex] and [tex]$b \Rightarrow c$[/tex], which statement must be true? A. [tex]$\neg a \Rightarrow c$[/tex] B. [tex]$a \Rightarrow c$[/tex] C. [tex]$c \Rightarrow a$[/tex] D. [tex]$\neg a \Rightarrow \neg c$[/tex]