Answer:
Step-by-step explanation:
just multiply or add or divide to get your answer
for converting km to meters
1 km = 1000 m
5807 km = 1000 × 5807 m
= 5807000m ...
for converting cups to gallons
1 cup = 0.0625 gallons
2144 cups = 0.0625 × 2144 gallons
= 134 gallons
I tryed my best to figure out what all of the numbers were. if i got any wrong then please tell me and i will put the right answer in the comments.
1) 3/5= 5/x (cross multiply)
3x=5(5)
3x=25
x= 25/3 -or- 8.33
2) 2/4=x/12<span> (cross multiply</span><span>)
</span> 2(12)=4x
24=4x
6=x
3) 10/x=5/9<span> (cross multiply</span><span>)
10(9)=5x
90=5x
18=x
4) 5/5=x/18</span><span> (cross multiply</span><span>)
5(18)=18x
90=18x
5=x</span>
Take the derivative:
g’(x) = 12x^3 - 24x^2
Set equal to zero and solve:
0 = 12x^3 - 24x^2
0 = 12x^2 (x - 2)
x = 0 or x = 2
Plug back into original
g(0) = 3(0^4) - 8(0^3)
g(0) = 0 - 0
g(0) = 0
g(2) = 3(2^2) - 8(2^3)
g(2) = 3(4) - 8(8)
g(2) = 12 - 64
g(2) = -52
There is an absolute max at (0,0) or when x = 0
bear in mind that the continuously compounding interest is just that, a daily compounding cycle, taking a year as 365days.
