To calculate the speed of the 70 teeth countershaft drive gear, evaluate the surface teeth per minute (STM) of each gear. STM = Speed x number of teeth, which is equivalent for both gears. Thus, 45 teeth * 450 r.p.m. = 70 teeth * 'x' r.p.m. is the governing equation. Rearranging the equation to calculate 'x' as the 70 teeth gear's speed, the answer is 289.3 r.p.m.
Answer: There are 80 people in the 6th grade
Step-by-step explanation:
y<span> = 12x+76 is the answer to your question i know it was a little late but at least other people who would like to know can see it.</span>
To find those equations we can do any multiplication or division of both sides of the equation:
Examples:
2x + 9 = -15 | · 2
4x + 18 = -30
2x + 9 = -15 | · (-1)
-2x - 9 = 15
2x + 9 = -15 | ÷ 2
x + 4.5 = -7.5
There is the same solution: x = -12.
Answer: In 3
SOLVINGS
What is 3 ln 3 - ln 9 expressed as a single natural logarithm
Since ln (m^n) = n⋅ln (m) … natural logarithmic property
We can further simplify the expression 3 ln 3
3 In 3 = In (3^3)
Therefore, 3 ln 3 - ln 9 = In (3^3) – In 9
Since ln(m/n) =ln(m) – ln(n) … natural logarithmic property
We can further simplify the expression In (3^3) – In 9
In (3^3) – In 9 = In [(3^3)/(9)]
= In (27/9)
= In 3
Therefore, 3 ln 3 - ln 9 expressed as a single natural logarithm is In 3.
