Question

A mound of sand at a rock-crushing plant is growing over time. The equation t = 3^√5v-1 gives the time, t, in hours, at which the mound has volume V, in cubic meters. When is the volume equal to 549 m 3 ?

Answer 1

Answer:

The volume will be 549 $m^{3}$ in $3^{40.77}$ hours.

Step-by-step explanation:

A mound of sand at a rock-crushing plant is growing over time means the volume will increase with passing time.

The relation between the time and the volume is given by $t = 3^{\sqrt{(5\times349)} - 1}$, where t, time is in hours and v, volume is in $m^{3}$.

We need to find the time,  when the volume v will be = 549 $m^{3}$.

Hence,

$t = 3^{\sqrt{5\times 349} - 1} \\t = 3^{\sqrt{1745} - 1} \\t = 3^{41.77 - 1} \\t = 3^{40.77}$.