The volume of a sphere is a 3/4 pi r^2 so we know the radius is 12 so 12 square is 144 pi 144*3=432 /4=108. volume is 108 pi cubed units
Right now it is noon..... you are traveling 75 miles per hour meaning you'll move 75 miles... every hour. so you're 120 miles away so now we need to figure out the time.... to do this we already know 1 hour is 75 miles so now you can subtract one hour 120-75= 45 so 75 per hour, what would 45 be?..... so we can set up a fraction to figure out how long it takes to travel one minute.... so 60/75(the 60 is for minutes in an hour). which is .8 of a second to travel one mile so.... now you can multiply to check your work. .8*75=60 mins.... so now multiply.8*45(miles left)=36 so you'd get there at 1:36 it would take an hour and 36 mins to get to your destination going 75mph
30/12 in simplest form is 5/2 (cause 6 * 5 = 30 and 6 * 2 = 12)
40/16 in simplest form is 5/2 (cause 8 * 2 = 16 and 8 * 5 =40)
so yes they're equivalent;
30/12 = 40/16
Hope that helps :D have a nice day!
Answer:
angle KPN=95 degree
Step-by-step explanation:
angle KPN = angle JPO (because they are vertically opposite angles)
Now,
angle JPO+angle LOP=180 degree(being co interior angles)
angle JPO + 85 =180
angle JPO =180-85
angle JPO =95
since angle JPO is equal to KPN ,angle KPN is 95 degree
The table is attached in the figure.
g(x) = f(4x) ⇒⇒⇒ differentiating both sides with respect to x
∴ g'(x) = ![\frac{d}{dx} [f(x)] * \frac{d}{dx} [4x]=4*f'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29%5D%20%2A%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5B4x%5D%3D4%2Af%27%28x%29)
⇒⇒⇒⇒⇒⇒ chain role
To find g '(0.1)
Substitute with x = 0.1
from table:
f'(0.1) = 1 ⇒ from the table
∴ g'(0.1) = 4 * [ f'(0.1) ] = 4 * 1 = 4
