Answer: The area of the room would be 150 yards.
Step-by-step explanation: the room is 15yd + 10yd so 15x10 is 150
12 1/2 - 5x = 3 1/3
12 1/2 - 3 1/3 = 5x
9 1/6 = 5x
x = (9 1/6) / 5
x = 1 5/6
1 5/6 pounds
First, you should make a graph plotting "h" as the y-axis and "t" as the x-axis. Then, you can plot the equation they give you in the question.
Part A is asking about the slope of the graph. Basically, you need to find the rise over the run each second.
Part B is asking about the "h"-intercept, or the y-intercept. When Johnny first began his ride, exactly 0 seconds passed, and he was at the top of the hill.
Part C is asking you to find how long it will take to travel a third of the way down the hill. (I think the answer should be 5 seconds, but I'll leave it to you to figure out why.)
ANSWER
The fiftieth term is 286.
EXPLANATION
A sequence with a common difference,
![d = 6](https://tex.z-dn.net/?f=d%20%3D%206)
is an arithmetic progression.
The nth term is
![a_n=a_1 + d(n - 1)](https://tex.z-dn.net/?f=a_n%3Da_1%20%2B%20d%28n%20-%201%29)
If the sixth term is 22 then,
![22=a_1 + 6(6 - 1)](https://tex.z-dn.net/?f=22%3Da_1%20%2B%206%286%20-%201%29)
![22=a_1 + 30](https://tex.z-dn.net/?f=22%3Da_1%20%2B%2030)
![22 - 30=a_1](https://tex.z-dn.net/?f=22%20-%2030%3Da_1)
![a_1 = - 8](https://tex.z-dn.net/?f=a_1%20%3D%20-%208)
The fiftieth term is
![a_{50}= - 8 + 6(50 - 1)](https://tex.z-dn.net/?f=a_%7B50%7D%3D%20-%208%20%2B%206%2850%20-%201%29)
![a_{50}= - 8 + 6 \times4 9](https://tex.z-dn.net/?f=a_%7B50%7D%3D%20-%208%20%2B%206%20%5Ctimes4%209)
![a_{50}=- 8 +294](https://tex.z-dn.net/?f=a_%7B50%7D%3D-%208%20%2B294)
Answer:
350
Step-by-step explanation: