Caicula exactamente el doble de H . \( \mathrm{H}=\frac{3 \frac{1}{56}+0,125+\frac{3}{7}+\frac{13}{28}}{2+\frac{1}{56}} \cdot \sqrt{\frac{0,2}{0,3} \cdot \frac{3}{5}} \)

8. \( [5-68 . c] \quad \) Write the explicit rule and determine the 100 th term for the given sequence. \( \quad 24,19,14, \ldots \)

Find the domain of the logarithmic function. \( f(x)=\log (2-x) \)

The postal service of a country charges \( \$ 0.36 \) postage for a letter weighing up to 1 ounce, plus \( \$ 0.26 \) for each additional ounce up to 5 ounces. Letters weighing more than 5 ounces do not qualify for these rates. \( C(x)=\left\{\begin{array}{ll}\$ \square & \text { if } 0<x \leq 1 \\ \text { (a) Write a piecewise-defined function } C \text { for the postage charged for a letter weighing } x \text { ounces. } \\ \$ \square & \text { if } 3<x \leq 4 \\ \$ \square & \text { if } 4<x \leq 5\end{array}\right. \)

Diketahui fungsi tujuan meminimumkan \( Z=x+5 y \) dengan pembatas-pembatas sebagai berikut \( x+y \leq 8 \) \( 2 x-3 y \leq 6 \) \( x \leq 5 \) \( y \geq 1 \) a. gambarkan daerah layak b. tentukan Z minimum

Determina il valore dell'espressione in notazione scientifica : \[ \left(1,2 \cdot 10^{3}-19 \cdot 10^{2}\right)^{2}:\left(0,07 \cdot 10^{3}\right) \cdot 0,03 \]