Answer:
7.86 km
Step-by-step explanation:
Let x represent the distance point P lies east of the refinery. (We assume this direction is downriver from the refinery.)
The cost of laying pipe to P from the refinery (in millions of $) will be ...
0.5√(1² +x²)
The cost of laying pipe under the river from P to the storage facility will be ...
1.0√(2² +(9-x)²) = √(85 -18x +x²)
We want to minimize the total cost c. That total cost is ...
c = 0.5√(x² +1) +√(x² -18x +85)
The minimum value is best found using technology. (Differentiating c with respect to x results in a messy radical equation that has no algebraic solution.) A graphing calculator shows it to be at about x ≈ 7.86 km.
Point P should be located about 7.86 km downriver from the refinery.
The answer is c-one 1/2 is the same as 4/8 if you think about it is very easy. Watch since 4/8 is equal to 1/2 that means 3/6,2/4,5/10,12/6 and 32/64 are all equal because all you have to do is divide the denominator in half and that becomes the numerator and it is equivalent to 1/2.
1 km = 0.621371 miles
so 5.067km = 3.1484 miles
That's one unit fraction
3.1484 miles / 225 mph = 0.139 hours to go around once
is a second unit fraction
then you can multiply that by 60 to get minutes 0.139 x 60 = 8.34 minutes
<span>Formula for volume of cube: V = a³
</span>V = (5)³ = 5<span> × </span>5<span> × </span><span>5 = 125 cm</span>³
1. 1/3 - 7/8
rewrite the complex fraction as a division expression
show the complex fraction in simplest form.
step 1
we have
Multiply the first term by 8/8
so
(1/3)*(8/8)=8/24
Multiply the second term by 3/3
(7/8)*(3/3)=21/24
step 2
substitute in the original expression
8/24 -21/24
the fractions have the same denominator
so
(8-21)/24
-13/24
therefore
the answer is
-13/24