Questions in Grade College

Questions in Grade College

[Free] Cathy is paid at a rate of K7.20 per hour for a basic hour-week of 70 hours. She is paid time-and-a-half for over-time during the week, and double-time on weekends. In a fortnight she worked 160 hours, and 4 hours on Saturday and 2 hours on Sunday. (a) How many hours does Cathy work in a fortnight? (b) Calculate overtime earned during the week. (c) Calculate over-time earned during the weekend. (d) Find the total wage she earned in that fortnight

[Free] Calcula y contesta. 14. ¿Es 7 divisor de 70? ¿Y de 75? 15. ¿Es 6 divisor de 102? ¿Y de 114?

[Free] $Ca(OH)_2(aq) + 2HNO_3(aq) \rightarrow 2H_2O(l) + Ca(NO_3)_2(aq)$ Is this reaction a: A. precipitation B. acid-base neutralization C. redox reaction

[Free] Which controlled substance schedule does amphetamine belong to? Select one: A. C-II B. C-III C. C-IV D. C-V

[Free] Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five options. $\qquad$ +8 r^2 s^4-3 r^3 s^3 $\frac{5 s^7}{6}$ $s^5$ $3 r^1 s^5$ $-r^4 s^6$ $-6 r s^5$ $\frac{4 r}{5^6}$

[Free] (a) Find the average rate of change of the area of a circle with respect to its radius [tex]$r$[/tex] as [tex]$r$[/tex] changes from 5 to each of the following. (i) 5 to 6 (ii) 5 to 5.5 (iii) 5 to 5.1 (b) Find the instantaneous rate of change when [tex]$r=5$[/tex].

[Free] Prove the following equation by using the following methods: $\tanh ^{-1}(x)=\frac{1}{2} \ln \left(\frac{1+x}{1-x}\right) \quad-1 < x < 1$ (a) Using the method of this example: Let $v=\tanh ^{-1}(v)$. Then we have the following. $\begin{array}{l} x=\tanh (\square)=\frac{\sinh (y)}{\cosh (y)}=\frac{\square}{\frac{\left(e^y+e^{-y}\right)}{2}} \cdot \frac{e^y}{e^y}=\frac{e^{2 y}-1}{e^{2 y}+1} \\ \Rightarrow \quad x e^{2 y}+x=e^{2 y}-1 \\ \Rightarrow \quad 1+x=e^{2 y}(1-x) \\ \Rightarrow \quad e^{2 y}=\frac{1+x}{1-x} \quad \\ \Rightarrow \quad 2 y=\ln \left(\frac{1+x}{1-x}\right) \end{array}$ (b) Using the method of the equation $\frac{1+\tanh (x)}{1-\tanh (x)}=e^{2 x}$, with $x$ replaced by $y$ Let $y=\tanh ^{-1}(x)$. Then $x=$ $\square$ , so we have the following. $\begin{array}{l} e^{2 y}=\frac{1+\tanh (y)}{\sqrt{\frac{1+x}{1-x}}} \\ 2 y=\ln \left(\frac{1+x}{\sqrt{\frac{1+x}{1-x}}}\right) \\ y=\frac{1}{2} \ln \left(\frac{1+x}{1-x}\right) \end{array}$

[Free] What are personal control beliefs?

[Free] First aid is important because it A. improves the chances of survival B. reduces the risk of permanent injury C. reduces the risk of infection D. all of the above

[Free] Solve the equation using the quadratic formula. [tex]2 x(x-2)=-6 x+4[/tex] The solution set is $\square$ , (Simplify your answer, including any radicals and [tex]i[/tex] as needed. Use comma to separate answers as needed.)