To convert the temperature from Celsius to Fahrenheit, we can use the given formula:
[tex]\[ T_{\left( ^{\circ} F \right)}=\frac{9}{5} \times T_{\left( ^{\circ} C \right)} + 32 \][/tex]
Here, the temperature in Celsius is [tex]\( 18^{\circ} C \)[/tex].
Let's substitute this value into the formula step by step.
1. Multiply the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[ \frac{9}{5} \times 18 \][/tex]
2. Calculate the result of the multiplication:
[tex]\[ \frac{9}{5} \times 18 = 32.4 \][/tex]
3. Add 32 to the result from step 2:
[tex]\[ 32.4 + 32 = 64.4 \][/tex]
Thus, the temperature on Jessica's patio in Fahrenheit is:
[tex]\[ 64.4^{\circ} F \][/tex]
So, the answer is [tex]\( 64.4 \, ^{\circ} F \)[/tex].