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Questions in Grade College

[Done] Add as indicated. $(5+i \sqrt{6})+(5+7 i \sqrt{6}) = $ $(5+i \sqrt{6}) *(5 + 7 i \sqrt{6}) = $ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.)

[Done] A board game uses the deck of 20 cards shown to the right. Two cards are selected at random from this deck. Calculate the probability that the first card selected has a yellow bird and the second card selected has a frog, both with and without replacement. Two cards are to be selected with replacement. Determine the probability that the first card selected has a yellow bird and the second card selected has a frog.

[Done] Describe in words the transformations to the function: [tex]f(x)=3|x+1|-3[/tex] Horizontal Shift: $\square$ -example "left 2" or "right 1" Vertical Shift: $\square$ -example "down 2" or "up 3" Horizontal Stretch/Compression: $\square$ -example "stretch 5" Vertical Stretch/Compression: $\square$ -example "compress 3" Horizontal Reflection: ( [tex]y[/tex]-axis Reflection) $\square$ -example "yes" or a reflection " 0 " for no reflection Vertical Reflection ( [tex]x[/tex]-axis Reflection): $\square$ -example "yes" or a reflection "0" for no reflection. If the category does not apply, type in 0.

[Done] Solve the equation on the interval [tex]$0 \leq \theta\ \textless \ 2 \pi$[/tex]. [tex]$(\tan \theta-1)(\sec \theta-1)=0$[/tex] Select the correct choice below and fill in any answer boxes. A. The solution set is $\square$ (Simplify your answer. Type an exact answer, using [tex]$\pi$[/tex] as needed. Use a comma to separate answers as needed.)

[Done] The preparations of two aqueous solutions are described in the table below. For each solution, write the chemical formulas of the major species present at equilibrium. You can leave out water itself. Write the chemical formulas of the species that will act as acids in the 'acids' row, the formulas of the species that will act as bases in the 'bases' row, and the formulas of the species that will act as neither acids nor bases in the 'other' row. You will find it useful to keep in mind that [tex]$NH _3$[/tex] is a weak base. | 0.9 mol of HBr is added to 1.0 L of a [tex]$0.9 M NH _3$[/tex] solution. | acids: $\square$ bases: $\square$ other: $\square$ | | 0.41 mol of KOH is added to 1.0 L of a solution that is 1.5 M in both [tex]$NH _3$[/tex] and [tex]$NH _4 Br$[/tex]. | acids: $\square$ bases: $\square$ other: $\square$ |

[Done] Which of the following describes "tax progressivity"? A. The amount of tax money spent on technology advancements B. The connection between income tax rate and spending C. The relation of tax rate to income D. The use of taxes for social programs

[Done] Which benefit of a healthy work-life balance is described by employees that have an appropriate work-life balance are more engaged, motivated, and committed to their job? A. Customer satisfaction B. Increased productivity C. Increased child development D. Better individual health

[Done] Subtract. $\frac{-3}{10}-\frac{-4}{5}=$ $\square$

[Done] Americans objected to the Stamp Act because: A. It violated their rights as British subjects B. They were against taxes of all kinds C. It could be paid in kind rather than specie D. All of the above

[Done] One root of [tex]f(x)=x^3+10 x^2-25 x-250[/tex] is [tex]x=-10[/tex]. What are all the roots of the function? Use the Remainder Theorem. A. [tex]x=-25[/tex] or [tex]x=10[/tex] B. [tex]x=-25, x=1[/tex], or [tex]x=10[/tex] C. [tex]x=-10[/tex] or [tex]x=5[/tex] D. [tex]x=-10, x=-5[/tex], or [tex]x=5[/tex]