Use the formula \( \mathrm{P}=1 e^{\mathrm{Kt}} \). A bacterial culture has an initial population of 10,000 . If its population declines to 7,000 in 4 hours, what will it be at the end of 6 hours? A. 5,856 B. 2,928 C. 1,500 D. 8,157

Find the direction angle of \( v \) for the following vector. \( v=2 i-4 j \) What is the direction angle of \( v \) ? TRound to one decimal place as needed.)

(d) Determine la forma polar del complejo \( z=-3-\sqrt[y]{3} i \)

Постройте график функции и укажите для нее область определения и значения \( x \), при которых \( y>0 \). а) \( у=3 \mathrm{x}^{-3} \);

Use the given functions to answer the question. \( \begin{array}{l}f(x)=2^{x} \\ g(x)=x-3 \\ \text { What is the domain of } \frac{f(x)}{g(x)}=\frac{2^{x}}{x-3} \text { ? } \\ \text { A. the set of all real numbers } \\ \text { B. the set of all real numbers greater than } 0 \\ \text { D. the set of all real numbers not equal to } 0 \\ \text { E. the set of all real numbers not equal to } 3\end{array} \) B. thers greater than 3

Determine la forma polar del complejo \( z=-3-\sqrt{3} i \)