(Solved): step by step please \( \angle B A C=48^{\circ} \) Find the value of the complementary and supplemen ...

step by step please

\( \angle B A C=48^{\circ} \) Find the value of the complementary and supplementary angles. Complementary angle is Supplementary angle is You go to the doctor and he gives you 14 milligrams of radioactive dye. After 16 minutes, \( 4.75 \) milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. You will spend minutes at the doctor's office. If \( f(x)=x^{4}+5, g(x)=x-6, h(x)=\sqrt{x} \) \( f \circ g \circ h(x)= \) Find \( f^{-1}(x) \) for \( f(x)=\frac{x+8}{x-2} \) \[ f^{-1}(x)= \] Find all the real zeros of the polynomial \[ P(x)=x^{4}-x^{3}-17 x^{2}-15 x . \] If there is more than one zero write them separated by commas. Give EXACT answers. No decimals. Its real zeros are \( x= \) Find the quotient and remainder using long division for \[ \frac{2 x^{3}-4 x^{2}+7 x-7}{2 x^{2}+5} \] The quotient is The remainder is Find the \( x \) - and \( y \)-intercepts of \( f(x)=7^{-9 x}-6 . \) Write none if such a point does not exist. \( x \)-intercept: \( y \)-intercept: Match the functions with their graphs. Enter the letter of the graph below which corresponds to the function. ( Click on im larger view ) 1. \( f(x)=5^{x+1}-4 \) 2. \( f(x)=5^{x-3} \) 3. \( f(x)=5^{x}+3 \) 4. \( f(x)=5^{-x} \) 5. \( f(x)=-5^{x} \) If \( \ln (a)=2, \ln (b)=3 \), and \( \ln (c)=5 \), evaluate the following: (a) \( \ln \left(\frac{a^{2}}{b^{4} c^{-3}}\right)= \) (b) \( \ln \sqrt{b^{1} c^{4} a^{3}}= \) (c) \( \frac{\ln \left(a^{3} b^{-3}\right)}{\ln \left((b c)^{1}\right)}= \) (d) \( \left(\ln c^{4}\right)\left(\ln \frac{a}{b^{1}}\right)^{-4}= \)