Answer:
A) 12,5651 feet/hour
B) 12,5663 feet/hour
Step-by-step explanation:
A) Being
f
the amount of water distributed at a distance r. But, the total amount of water distributed inside a circle of radius r , is the sum of all the water distributed from 0 until r. That is
B) the total ammount of water that goes out of the sprinkler will be distributed to different distances according to f(r) , therefore it will be the sum of all the ammount of water at all the distances.
Answer:
The third graph is the graph of the given function
Step-by-step explanation:
A simple technique that can be used to identify the graph that matches the given function is; determination of the x and y-intercepts. In this case, determining the y-intercept and then using elimination will suffice in matching the function with its graph. At the y-intercept the value of x is always zero, so we replace x with zero in the right hand side of the equation; y(x) = 2^(0+3) = 8. The graph of the function should therefore cross the y-axis at the point (0,8). The third graph is the graph of the given function.
The man travelled in different ways: by rail, by taxi, by ___ and by foot. I placed a blank there because there seems to be a missing word in the given problem above. For sample purposes, let's just assume that is travel by bus.
Since all of these travels are equal to 1 whole journey, you can express each travel as a fraction. When you add them up, the answer would be 1. So,
3/8 + 1/4 + 1/8 + x = 1
The variable x here denotes the fraction of his travel by foot. We are only given the exact distance travelled on foot which is 2 km. We have to find the fraction of the travel by foot to determine the length of the total distance travelled. Solving for x,
x = 1 - 3/8 - 1/4 - 1/8
x = 1/4
That means that the travel by foot comprises 1/4 of the whole journey. Thus,
Let total distance be D.
1.4*D = 2 km
D = 8 km
Therefore, the man travelled a total of 8 kilometers.
<span>y= -2/3 - 5x
or
</span>y= -5x -2/3
so
slope = -5