Answer:
'∂' -- means a partial differential
'Δ' -- means a change in some variable.
'σ' --means 'sum' and 'deviation'.
The text says something about the world turning so maybe the equation has something to do with that? Maybe it is the equation for the earth's rotation. Sorry I can't find anything else, but I hope this helps a bit!
Having the angle in radians and the diameter of the circle we can easily calculate the length using the following expression
Length = angle(radians)*diameter/2
With this expression we can easily deduce the perimeter of a circle (length of the full arc)
Length = Perimeter = 2*pi*r
There is only one operation involved in this process
Answer:
15/8
Step-by-step explanation:
Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).
d = s + r + b [1]
1/24 of the total distance is covered by swimming.
s = 1/24 d [2]
1/3 of the distance is covered by running.
r = 1/3 d [3]
If we replace [2] and [3] in [1], we get
d = 1/24 d + 1/3 d + b
b = d - 1/24 d - 1/3 d
b = 24/24 d - 1/24 d - 8/24 d
b = 15/24 d = 5/8 d
The ratio of the distance covered by bike to the distance covered by running is:
b/r = (5/8 d)/(1/3 d) = 15/8
9514 1404 393
Answer:
(c) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Try the numbers in the constraints to see if they work.
<u>Build hours</u>:
(4 h/child bike)(10 child bikes) = 40 hours
(6 h/adult bike)(12 adult bikes) = 72 hours
total build hours: 40 +72 = 112, less than 120; constraint is met
<u>Test hours</u>:
(4 h/child bike)(10 child bikes) = 40 hours
(4 h/adult bike)(12 adult bikes) = 48 hours
total test hours: 40 +48 = 88, less than 100; constraint is met
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Both constraints are met, so the order can be filled.