This is an example of the quotient of powers property and tells us that when you divide powers with the same base you just have to subtract the exponents. When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1.
Answer:
Step-by-step explanation:
By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that
f'(c) = [f(6) - f(1)]/ (6 - 1)
So, f(6) - f(1) = 5f'(c).
Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20
So, f(6) - f(1) is between 10 and 20.
Answer:
y = 1/2
Step-by-step explanation:
;)
Answer:
Position of the submarine now relative to the water surface ![=-47\ \frac{3}{4}](https://tex.z-dn.net/?f=%3D-47%5C%20%5Cfrac%7B3%7D%7B4%7D)
Step-by-step explanation:
It says that the position of a submarine relative to the water surface was -32 1/4 feet . A downward navigational maneuver increased it's depth by 15 1/2 feet.
Now we need to find about what is the position of the submarine now relative to the water surface.
Downward navigation means we 15 1/2 is negative
so we will just add both values to get the final answer:
Position of the submarine now relative to the water surface = ![-32\ \frac{1}{4}-15\ \frac{1}{2}](https://tex.z-dn.net/?f=-32%5C%20%5Cfrac%7B1%7D%7B4%7D-15%5C%20%5Cfrac%7B1%7D%7B2%7D)
![=-32\ \frac{1}{4}-15\ \frac{2}{4}](https://tex.z-dn.net/?f=%3D-32%5C%20%5Cfrac%7B1%7D%7B4%7D-15%5C%20%5Cfrac%7B2%7D%7B4%7D)
![=-47\ \frac{3}{4}](https://tex.z-dn.net/?f=%3D-47%5C%20%5Cfrac%7B3%7D%7B4%7D)