Respuesta :
Answer:
[tex]6.48\times 10^{2}[/tex] millimeters.
Step-by-step explanation:
We have been given that a leak in a water tank causes the water level to decrease by [tex]3.6\times 10^{-2}[/tex] millimeters each second.
To find the decrease in water level in 5 hours let us multiply water decrease in one second by number of seconds in 5 hours.
[tex]\text{The decrease in water level in the tank}=3.6\times 10^{-2} \times 1.8\times 10^4[/tex]
Using the exponent product rule let us add the exponents with same base (10).
[tex]\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{-2+4}[/tex]
[tex]\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{2}[/tex]
[tex]\text{The decrease in water level in the tank}=6.48\times 10^{2}[/tex]
Therefore, the water level in tank decreased [tex]6.48\times 10^{2}[/tex] millimeters in 5 hours.
