Let speed of the boat in still water = x miles per hour
Let speed of the current = y miles per hour
When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)
now plug the given values in formula speed=distance/time
we get equation:
(x+y)=160/8
or x+y=20...(i)
When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)
now plug the given values in formula speed=distance/time
we get equation:
(x-y)=160/40
or x-y=4
or x=4+y...(ii)
plug value of x into (i)
4+y+y=20
4+2y=20
2y=16
y=8
plug value of y into (ii)
x=4+8=12
Hence final answer is given by:
Speed of the boat in still water = 12 miles per hour
Speed of the current = 8 miles per hour
The GCF is 5 so the new expression would be: 5(x+2)
Answer:
Derivative: P’(x) = 200 - 2x
If P’(x) = 0 , x = 100
Therefore P’ is positive and P increases until x = 100
So the maximum units to maximize profits is 100 units
And for 100 units the profit in dollar is:
20000 - 10000 = 10000
10000 dollars
Answer:
C. 176.6 Square feet (I think)
Step-by-step explanation:
I tried many different ways and got three of the answers above but I think this is the right one.
The equation to find area of a circular cone base: 
- We are given the diameter (15 Feet) but we need to find the radius. So we use the diameter to radius formula:

- Plug in numbers:
≈ 
- Use the Area formula now that you have radius:

- Solve and get =

- Looking at the options the closest one to our answer (off by one-tenth) is C.
Sorry if you get this wrong. I tried lol.
Use the circular formula and divide the volume by 2
Step-by-step explanation: