1 cg equals 10^-5 kg
Thus, 8.25 * 10^2 cg converts to 8.25 * 10^-3 kg
1 nanogram is represented as 10^-12 kg
Consequently, 8.25 * 10^-3 kg is equivalent to 8.25 * 10^9 nanograms
As a result, 8.25 * 10^2 cg is equal to 8.25 * 10^9 nanograms.
The rate at which the windows are washed can be described by the number of windows cleaned each minute. Thus, the missing value represents how many windows she has managed to wash.
The least common denominator needed to combine the variable terms is 15. The least common denominator for the constant terms is 21.
The function can be expressed as:
f(x) = log(-20x + 12√x)
To ascertain the maximum value, differentiate the equation with respect to x and set the derivative to zero. The procedure unfolds as follows.
The differentiation formula is:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
From which we derive x = (6/20)² = 9/100
Therefore,
f(x) = log(-20(9/100)+ 12√(9/100)) = 0.2553
The function's maximum value is 0.2553.
