Answer:
3 e^t/2 + 4 = 27
e^t/2 = 23 / 3
Taking natural log of both sides
t/2 = ln 23/3 = ln 7.667 = 2.037
t = 4.074
Check:
3 e^4.074/2 + 4 = 27
27 = 27
Lines f and g are parallel and the two angles are same-side angles, so they add up to 180 degrees. An equation for this would add up to 180, then solve for x to find the answer to the problem.
5x + (9x + 26) = 180, combine the like terms.
14x + 26 = 180, subtract 26 from both sides.
14x = 154, divide both sides by 14.
x = 11; so your answer is B. 11.
Answer: 2√3
Step-by-step explanation: To divide √60 by √5, we simply divide the numbers that are inside the radicals.
Since the quotient of 60 divided by 5 is 12,
the square root of 60 divided by the square root of 5 is √12.
However, we can simplify the square root of 12.
The √12 breaks down into 4 · 3 and 4 breaks down into 2 · 2.
The 2's match up, so a 2 comes outside of the radical.
Since the 3 doesn't pair up, it stays inside.
So our answer is 2√3.
They could spend 4 and a half hours in the meeting room.
At the rate of 84 words per 2 minutes, which translates to 42 words per one minute.
So in one minute she types 42*1=42 words
In 3 minutes she types 42*3=126 words
In 9 minutes she types 42*9=378 words