Answer:
30
Step-by-step explanation:
Hello! To find any number in the arithmetic sequence we can use a formula!
It is given by

The geometric sequence formula goes by

So for this we notice that there's a start of 5 and is being added 3 to get 8.
and then each time it is added by 2 more to get the next time
5
5+ 3 = 8
8 + 5 = 13
13 + 7 = 20
20 + 9 = 29
29 + 11 = 41
41 + 13 = 54
54 + 15 = 69
69 + 17 = 83
Your formula is

Where n starts at 2 not 1
Answer:
all work is shown and pictured
If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance.
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back
Answer:
y = x - 5
Step-by-step explanation:
Given the point, (10, 5), and the slope, m = 1:
Substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b</em>:
y = mx + b
5 = 1(10) + b
5 = 10 + b
Subtract 10 from both sides to isolate b:
5 - 10 = 10 - 10 + b
-5 = b
The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).
Therefore, given the slope, m = 1, and the y-intercept, b = -5:
The equation of the line in slope-intercept form is: y = x - 5.