A stretched string has a mass per unit length of $6\mathrm{.}09\frac{g}{c}m$ and a tension of $17\mathrm{.}0$ N $.$ A sinusoidal wave on this string has an amplitude of $0\mathrm{.}176$ mm and a frequency of $145$ Hz and is traveling in the negative direction of an $x$ axis. If the wave equation is of the form $y(x,t)=y_{m}sin(kx+t),$

what are $($a$)y_m,($b$)k,$ and $($c$),$ and $($d$)$ the correct choice of sign in front of $?$

$($a$)$ Number Units

$($b$)$ Number Units

$($c$)$ Number Units