Answer:
(-∞,∞)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that the equation x + y = z relates the whole numbers x, y, and z.
This implies x,y,z all three are whole numbers
Hence we get x+y =z
x = z-y
where y is a whole number
So y can be 0,1,2.....
From this we can say x can take at most the value z in case y =0 other wise x has to be less than z
So comparison of x,y,z would give
( the equality applying only when y =0)
Answer:
Step-by-step explanation:
1300 x 1.042 = $1354.6
Answer:
- boat speed: 17.25 mph
- current: 2.5 mph
Step-by-step explanation:
Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...
speed = distance/time
b-c = 29.5/2 = 14.75 . . . . . miles/hour
b+c = 59.25/3 = 19.75 . . . .miles/hour
Subtracting the first equation from the second, we get ...
(b+c) -(b-c) = 19.75 -14.75
2c = 5
c = 2.5
Then either equation can be used to find b:
b = 14.75 +c = 17.25
The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.
To find volume of a cylinder, you must find the area of the base and multiply it by the height of the object.
V=Bh where B=area of the base. Since the base is a circle, we must find area of the circle. A=pi(r^2)
A=3.14(6^2) Since it gave us the diameter, we take half for radius. Solve A=3.14(36)
A= 113.04 square cm
Now to find volume.
V=113.04•11
V=1243.44 cubic cm
Now find volume of the cone on top.
V=1/3Bh again with B= area of the base (pi)(r^2)
Since the two objects share a base, we can use the area of the cylinder as above.
V=1/3(113.04)9
We have to do a little simple math to determine the height of just the cone. Total height is 20-11 height of the cylinder. The difference is 9.
V=1/3(113.04)9 multiply
V=339.12 cubic cm
Now add the two volumes together to find total volume.
Total V=1243.44+339.12
V=1582.56 cubic cm
