Answer:
252<em>π</em> or 791.7 mm³/h
Step-by-step explanation:
The volume of a cylinder is given by
We desire to find the volume rate, that is,
<em>dr/dt</em> is the rate of change of the radius which is 7 mm/h.
<em>dV/dr</em> is derived by differentiating the volume equation, yielding
At <em>r</em> = 12 mm and <em>h</em> = 1.5 mm,
You would have $318. Hope this helps out!
Circumference = pi *d
250 = pi * d
divide each side by pi
250/pi = d
pi is approximately 3.14
250/3.14 = d
79.62 = d
the diameter is approximately 79.62 ft
Answer:
26 + y
----------
9y
Step-by-step explanation:
Your using parentheses here would remove a great deal of ambiguity. Looking at your 8-y/3y + y+2/9y - 2/6y, I have interpreted it to mean:
(8-y)/3y + (y+2)/9y - (2/6)y. For example, without parentheses, your 8-y/3y might be interpreted differently, as 8 - y/(3y), or 8 - 1/3.
Looking at (8-y)/3y + (y+2)/9y - (2/6)y again, we see three different denominators: 3y, 9y and 6 y. The LCD here is 9y. Multiplying all three terms of (8-y)/3y + (y+2)/9y - (2/6)y by the LCD, we get:
3(8-y) + (y+2) + 3y. We must now divide this by the LCD:
3(8-y) + (y+2) + 3y
--------------------------
9y
Next we need to perform the indicated multiplication:
24 - 3y + y + 2 + 3y
----------------------------
9y
and then to combine like terms:
24 + 2 - 3y + y + 3y, 26 + y
---------------------------- or -----------
9y 9y
Answer:
Step-by-step explanation:
4(8+2n) = 4 + 4n
32 + 8n = 4+4n
4n = -28
n = -7
