9514 1404 393
Answer:
f(x) = 6x +1
Step-by-step explanation:
Differences in x-values (first row) are 1, 1, 1.
Differences in y-values (second row) are 6, 6, 6.
The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.
Using the first point in the form ...
y = mx + b
we have ...
y = 6x + b
7 = 6·1 + b . . . . (x, y) = (1, 7)
1 = b . . . . . . subtract 6
Then the equation can be written ...
y = 6x +1
In functional form, this is ...
f(x) = 6x +1
First, we determine the speed of the ferry by dividing the distance by the time it took to cover that certain distance.
speed = (1/6) / (3/7)
speed = 7/18
Then, the distance it will travel for an hour is calculated through the procedure below.
distance = (7/18hour) x (1 hour)
distance = 7/18
Therefore, after an hour, the ferry will be able to travel 7/18 of the distance between two ports.
Answer:
2.20752 x 
Step-by-step explanation:
The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.
- 365 days refer to the total number of days per year
- 86,400 seconds refer to the number of seconds per day
Let's solve.
- 365 x 86,400 = 31,536,000 or 3.1536 x
<em>Therefore, one year has 3.1536 x </em><em> seconds.</em>
Next, you have to know the number of seconds in 10 billion years.
- (3.1536 x ) x (1.0 x
) = 3.1536 x 
The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.
- (3.1536 x ) x 7,000,000 = 2.20752 x
The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )
For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4
and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.
Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)
The distance formula is just the Pythagorean Theorem applied to an x-y graph.
You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.
Answer:
A = 157 in^2
Step-by-step explanation:
First, we need to get the radius, we can do this by dividing our given diameter by 2.
20/2 = 10
Now, we have our radius of 10 inches.
Formula for Area of a Semi Circle: (1/2)(pi(r^2)
Input values.
(1/2)(3.14(10^2)
Solve.
(1/2)(3.14(100)
(1/2)(314)
1/2(314) = 157
Finally, we have our result which is 157 inches^2.
