evaluate the expression when ( g = 0.6 ).\n( 400g^{2}-0.9div g )\nenter your answer as a decimal in the box.

evaluate the expression when ( g = 0.6 ).\n( 400g^{2}-0.9div g )\nenter your answer as a decimal in the box.

evaluate the expression when ( g = 0.6 ).\n( 400g^{2}-0.9div g )\nenter your answer as a decimal in the box.

Answer

Explanation:

Step1: Substitute the value of (g)

Substitute (g = 0.6) into the expression (400g^{2}-0.9\div g). We get (400\times(0.6)^{2}-0.9\div0.6).

Step2: Calculate the exponent

Calculate ((0.6)^{2}=0.6\times0.6 = 0.36). Then (400\times(0.6)^{2}=400\times0.36). Using (400\times0.36=(4\times100)\times0.36 = 4\times(100\times0.36)=4\times36 = 144).

Step3: Calculate the division

Calculate (0.9\div0.6=\frac{0.9}{0.6}). Multiply numerator and denominator by 10 to get (\frac{9}{6}=\frac{3}{2}=1.5).

Step4: Calculate the final result

Subtract the results of the two previous steps: (144 - 1.5).

Answer:

(142.5)