Answer:
6 knots
Step-by-step explanation:
Let the speed be v knots
then time taken to cover 500 M = 500 / v hrs
fuel consumption /hr = 216 + 0.5v^3
let F be the fuel consumption for trip
= [500/v][216 + 0.5v^3]
= 500[216/v + 0.5v^2]
dF/dv = 500[ - 216/v^2 + v]
d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve
so setting dF/dv will give a minima
500[ -216/v^2 + v] = 0
or v = 216/v^2
or v^3 = 216
solving, we get v = [216]^(1/3) = 6 knots
Answer:
You add them, then subtract them by how many numbers there are :) So add them then subtract them by 4
Step-by-step explanation:
2a - b....a = 2 and b = 3
2(2) - 3 =
4 - 3 =
1
You've been working with rectangular prisms all night, and the same formula gives the volume of every one of them. Unfortunately, you used way more time asking other people for answers than it would take you to solve them on your own.
The formula is:
Volume = (length) times (width) times (height) .
With that formula, you can directly solve problems #1, #2, #3,
#4, and #8. It's also the only math you really need to solve #9 ...
but you also need to use your brain cells for #9.
For #6, start with the same formula:
Volume = (length) x (width) x (height)
Divide each side by
(width) x (height), and
then it says: Length = (volume) / (width x height) .
#6 gives you the volume, width and height.
You can just write them into this equation,
and bada-bing, you'll have the missing length.
