Yes "3x8 = 4x6" does illustrate the commutative property of multiplication.
<span>Jill has $30 and Maddie has $60. Jill saves $4 per week and Maddie saves $2 per week. How long will it be before Jill and Maddie have the same amount of money?</span>
Answer:
6.27
Step-by-step explanation:
We are to obtain the standard deviation of the given values :
{24, 18, 31,25, 34}
The standard deviation = √(Σ(x - mean)²/ n)
The mean = (ΣX) /n
Using calculator to save computation time :
The standard deviation, s = 6.27 (2 decimal places)
Answer:
The min is at x=4/3
Step-by-step explanation:
Take the first derivitave. Set that equation equal to zero. Then take the second derivative. Take the x values and put them into the second derivative. If the value is +, that means a rel min. If it is -, that means rel max.
The first step to solving this is to use tan(t) =

to transform this expression.
cos(x) ×

Using cot(t) =

,, transform the expression again.
cos(x) ×

Next you need to write all numerators above the least common denominator (cos(x)sin(x)).
cos(x) ×

Using sin(t)² + cos(t)² = 1,, simplify the expression.
cos(x) ×

Reduce the expression with cos(x).

Lastly,, use

= csc(t) to transform the expression and find your final answer.
csc(x)
This means that the final answer to this expression is csc(x).
Let me know if you have any further questions.
:)