JY CHEN - Ask Anything, Learn Everything. Logo

Questions in Grade College

[Free] Which pair(s) of expressions are equal in value? Check all that apply. [tex]$\lfloor 4.9\rfloor$[/tex] and [tex]$\lceil 3.1\rceil$[/tex] [tex]$\lfloor 15.2\rfloor$[/tex] and [tex]$\lfloor 14.8\rfloor$[/tex] [tex]$\lfloor-6\rfloor$[/tex] and [tex]$\lceil-6\rceil$[/tex] [tex]$\lceil-3.2\rceil$[/tex] and [tex]$\lceil-2.6\rceil$[/tex]

[Free] Which of the following was a strategy Emperor Diocletian used to end The Crisis of the Third Century? (select all that apply) A. He established a tetrarchy B. He cut taxes C. He promoted the emperor (himself) as a divine being D. He strengthened the military

[Free] Select the correct answer. What is the equation of the line that passes through the point $(6,11)$ and is parallel to the line with the following equation? $y=\frac{2}{3} x-5$ A. $y=-\frac{3}{2} x+17$ B. $y=-\frac{3}{2} x+5$ C. $y=\frac{2}{3} x+7$ D. $y=\frac{2}{3} x-15$

[Free] By first rounding both numbers to 1 significant figure, estimate the answer to [tex]$13 \times 378$[/tex]

[Free] What are the equations for the asymptotes of this hyperbola? [tex]$\frac{x^2}{9}-\frac{y^2}{64}=1$[/tex] A. [tex]$y=\frac{3}{8} x, y=-\frac{3}{8} x$[/tex] B. [tex]$y=\frac{\sqrt{55}}{5} x, y=-\frac{\sqrt{55}}{5} x$[/tex] C. [tex]$y=\frac{\sqrt{73}}{5} x, y=-\frac{\sqrt{73}}{5} x$[/tex] D. [tex]$y=\frac{8}{3} x, y=-\frac{8}{3} x$[/tex]

[Free] Find the limit $L$ (if it exists). (If the limit is infinite, enter '$\infty$' or '-$\infty$', as appropriate. If the limit does not otherwise exist, enter DNE.) [tex] \begin{array}{l} \lim _{x \rightarrow 6} f(x) \text { where } f(x)=\left{\begin{array}{ll} (x-6)^2, & x \leq 6 \\ 6-x, & x\ \textgreater \ 6 \end{array}\right. \\ L=\square \end{array} [/tex] If it does not exist, explain why. A. The limit does not exist because the function does not approach $f(6)$ as $x$ approaches 6. B. The limit does not exist because the function value is undefined at $x=6$. C. The limit does not exist because the function is not continuous at any $x$ value. D. The limit does not exist because the function approaches different values from the left and right side of 6. E. The limit exists.

[Free] A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ginger is using the zero product property to solve the equation $(6+x)(9+x)=88$. What does the value of $x$ in her solutions represent? A. two possible amounts for the widths B. one possible length and one possible width C. two possible amounts for the lengths D. two possible amounts by which the dimensions changed

[Free] A certain state uses the progressive tax rate below for calculating individual income tax. Calculate the state income tax owed on an $70,000 per year salary. | Income Range ($) | Progressive Tax Rate | |---|---| | 0-24,000 | 4% | | 24,001-52,000 | 6% | | 52,001+ | 8% | Tax = $[?]

[Free] Solve the quadratic inequality. $3 x(x-1) \leq 10-2 x$ Step 1: Move all terms to one side Step 2: Make it an equation, solve for $x$ (find the zeros)

[Free] If you want to be paid from an account with a guaranteed rate of 2.458% compounded annually, how much should be in the account if you want to receive annual payments of $7,000.00 over the 12 year period?