Question

5 multiple choice 10 points evaluate: (8 - 5)^3+(9×2)+2^2÷(3×4) note: do not worry about significant figures in your final answer. 70.1 correct answer not shown 60.3 -3900 35.6 68.6 -93.7 -108.7 clear my selection 6 multiple choice 10 points during an international student exchange, ron is sent to durmstrang to work on his group potion project. in the version of advanced potion making he is given, the temperature listed for the potion is 485.05 k. help ron convert this to celsius to make sure he does not ruin the potion. 841.09 c 333.30 c 758.2 c 905.09 c

Explanation:

Step1: Solve expressions inside parentheses

First, calculate \(8 - 5=3\), \(9\times2 = 18\), then \(18 + 2=20\), and \(3\times4 = 12\).
The expression becomes \(3^{3}+20^{2}\div12\).

Step2: Calculate exponents

\(3^{3}=3\times3\times3 = 27\) and \(20^{2}=20\times20 = 400\).
The expression is now \(27+400\div12\).

Step3: Do division

\(400\div12=\frac{400}{12}=\frac{100}{3}\approx33.33\).

Step4: Do addition

\(27+\frac{100}{3}=\frac{81 + 100}{3}=\frac{181}{3}\approx60.33\approx60.3\).

for temperature - conversion question:

Step1: Use the Kelvin - Celsius conversion formula

The formula to convert Kelvin (K) to Celsius (\(^{\circ}C\)) is \(T_{C}=T_{K}- 273.15\).
Given \(T_{K}=485.05\) K.

Step2: Substitute the value

\(T_{C}=485.05 - 273.15=211.9^{\circ}C\)
Since \(211.9^{\circ}C\) is not among the options, there may be an error in the provided choices. But if we follow the steps correctly for the conversion from \(485.05\) K to \(^{\circ}C\) using the standard formula \(T_{C}=T_{K}-273.15\).

Answer:

60.3