Questions in Grade College

Questions in Grade College

[Done] Multiply. Write your answer in simplest form. $\frac{1}{3} \times \frac{1}{6}$

[Done] Determine whether the following equation defines [tex]$y$[/tex] as a function of [tex]$x$[/tex]. [tex]$x-5=y^2$[/tex] Does the equation [tex]$x-5=y^2$[/tex] define [tex]$y$[/tex] as a function of [tex]$x$[/tex]?

[Done] Consider the function [tex]$f(x)$[/tex] whose second derivative is [tex]$f^{\prime \prime}(x)=6 x+8 \sin (x)$[/tex]. If [tex]$f(0)=3$[/tex] and [tex]$f^{\prime}(0)=2$[/tex], what is [tex]$f(x)$[/tex]? [tex]$f(x)= \square$[/tex]

[Done] According to the law of supply, price and quantity move A. along a track in the same direction. B. along a track in opposite directions. C. from different points toward one another. D. from the same point away from one another.

[Done] The sum of twice a number and a larger number is 145. The difference between the numbers is 55. Let [tex]$x$[/tex] represent the smaller number and [tex]$y$[/tex] represent the larger number. Which equations represent the situation? Check all that apply. [tex]$x-y=55$[/tex] [tex]$2(x+y)=145$[/tex] [tex]$2x+y=145$[/tex] [tex]$y-x=55$[/tex] [tex]$y=x+55$[/tex]

[Done] Rationalize the denominator: [tex]\frac{2}{3 \sqrt{2}-5}[/tex]

[Done] Assignment: 7/2/2025 1) $(14-2) \times 4 \div 6$ 2) $128 \div 2-4$ 3) $364 \div 8 \times(5-3)+5$ 4) $(17+4) \times 3$ 5) $a+2 \times(8-2)-3$

[Done] Use the table to answer the questions below. When the temperature in a room increases from [tex]$25^{\circ} C$[/tex] to [tex]$33^{\circ} C$[/tex], changes from a solid to a liquid. In a lab, methane and nitrogen are cooled from [tex]$-170^{\circ} C$[/tex] to [tex]$-200^{\circ} C$[/tex]. The methane freezes and the | Substance | Melting point ([tex]$^{\circ} C$[/tex]) | Boiling point ([tex]$^{\circ} C$[/tex]) | |---|---|---| | Gallium ([tex]$(Ga)$[/tex]) | 30 | 2,204 | | Gold ([tex]$(Au)$[/tex]) | 1,064 | 2,856 | | Methane ([tex]$(CH_4)$[/tex]) | -183 | -162 | | Nitrogen ([tex]$(N_2)$[/tex]) | -210 | -196 | nitrogen When gold is heated to [tex]$2,856^{\circ} C$[/tex] it changes from a liquid to a ____.

[Done] What was true about the Warsaw Pact? A. It consisted of Eastern Bloc nations. B. It allowed for Soviet troops to be stationed in member nations. C. It required members to fight in the defense of other member nations. D. All of the above

[Done] An inequality is shown. [tex]12(x-2) \ \textless \ 24[/tex] Which of the following is the solution to the inequality? A. [tex]x\ \textless \ 0[/tex] B. [tex]x\ \textgreater \ 0[/tex] C. [tex]x\ \textless \ 12[/tex] D. [tex]x\ \textless \ 4[/tex]