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Questions in Grade College

[Done] Perform the indicated operation. $\frac{3}{x}+\frac{5}{3 x^2}= \square$ (Simplify your answer)

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] The debate over the admission of this state in 1819-1820 revealed the potential of American national politics to divide along sectional lines, North vs. South. A. Missouri B. Maine C. Kentucky D. Alabama

[Done] 48. [tex]f(x)=\frac{x^2}{x^2-1}[/tex] on [-4,4]

[Done] The Texas club is sponsoring a bake sale. If their goal is to raise at least $450, how many pastries (P) must they sell at [tex]$9.00[/tex] each in order to meet that goal? A. [tex]$P \leq 50$[/tex] B. [tex]$P \geq 50$[/tex] C. [tex]$P \ \textless \ 50$[/tex] D. [tex]$P\ \textgreater \ 150$[/tex]

[Done] b) If [tex]A=\left[\begin{array}{ccc}2 & 4 & 3 \\ 1 & -2 & -2 \\ -3 & 3 & 2\end{array}\right][/tex] and [tex]B=\left[\begin{array}{ccc}2 & 1 & -2 \\ 4 & 13 & 7 \\ -3 & -18 & -8\end{array}\right][/tex] show that [tex]A B=K i[/tex] where [tex]k[/tex] is a constant and I is the identity matrix. Hence solve the equations [tex]\begin{array}{l} 2 x+4 y+3 z=4 \\ X-2 y-2 z=-1 \\ -3 x+3 y+2 z=-2 \end{array}[/tex]

[Done] A patient is prescribed a reducing total dose of Prednisolone as follows: Day 1: 10mg Day 2: 8mg Day 3: 6mg Day 4: 4mg Day 5: 3mg Day 6: 2mg Day 7: 1mg Prednisolone is supplied as 5mg and 1mg tablets. Prednisolone tablets cannot be split. Therefore, the patient needs to take a number of whole tablets. How many of each tablet strength would it be most appropriate to supply?

[Done] Which shows the correct substitution of the values $a, b$, and $c$ from the equation $-2=-x+x^2-4$ into the quadratic formula? Quadratic formula: $x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}$ A. $x=\frac{-(-1) \pm \sqrt{(-1)^2-4(1)(-4)}}{2(1)}$ B. $x=\frac{-1 \pm \sqrt{1^2-4(-1)(-4)}}{2(-1)}$ C. $x=\frac{-1 \pm \sqrt{(1)^2-4(-1)(-2)}}{2(-1)}$ D. $x=\frac{-(-1) \pm \sqrt{(-1)^2-4(1)(-2)}}{2(1)}$

[Done] What is the range of function [tex]g[/tex]? [tex]g(x)=\sqrt{x-1}+2[/tex] A. [tex]y \geq 2[/tex] B. [tex]y \leq 2[/tex] C. [tex]y \geq 1[/tex] D. [tex]y \leq 1[/tex]

[Done] A pyramid has cross-sectional shapes, taken parallel to its base, that are to one another. A. similar B. equal C. equivalent D. congruent