length of pipe= 30m
Inside dia. = 1.2m
Outside dia. = 1.8m
Volume of concrete= (outside dia. - inside dia.)h
V= (pi)
v= [(3.14*0.9*0.9)-(3.14*0.6*0.6)]30
v= (3.3534-1.1304)30
v=(2.233)30 = 66.690m cube
since it's volume the answer 66.690 is in cubic meters.
Let's call n the number of days Marika's been training for the race, and
the distance she runs on the nth day in meters. After the first day, when n = 1, she runs 100 meters, so
![a_1=100](https://tex.z-dn.net/?f=%20a_1%3D100%20)
On the second day, she runs an additional 4 meters, on the third day, another 4, and so on. Here's what that looks like mathematically:
![a_2=100 + 4\\a_3=100 + 4 + 4\\a_4=100+4+4+4](https://tex.z-dn.net/?f=%20a_2%3D100%20%2B%204%5C%5Ca_3%3D100%20%2B%204%20%2B%204%5C%5Ca_4%3D100%2B4%2B4%2B4%20)
It would be easier to write this continued addition as multiplication, in which case those same equations would look like
![a_2 = 100 + 4(1)\\a_3 = 100 + 4(2)\\a_4=100+4(3)](https://tex.z-dn.net/?f=%20a_2%20%3D%20100%20%2B%204%281%29%5C%5Ca_3%20%3D%20100%20%2B%204%282%29%5C%5Ca_4%3D100%2B4%283%29%20)
Notice that, in every case, the number 4 is being multiplied by is 1 less than n. We could even write for our first term that
. In general, we can say that
![a_n=100+4(n-1)](https://tex.z-dn.net/?f=%20a_n%3D100%2B4%28n-1%29%20)
Which is expressed by option B.
(Bonus: What piece of information from this question did we not need to use here?)
Answer:
y = -1/2x + 0
y = mx+b
Step-by-step explanation:
Answer:
4/4 as a decimal is 1.00 because 4/4 is one whole
Step-by-step explanation: