Answer:
2.57
Step-by-step explanation:
The common ratio of this sequence is ...
(1/3)/(3/15) = (1/3)/(1/5) = 5/3
Each additional term is 5/3 times the previous one, so the 8th term will be (5/3)^4 times the 4th term (the last one given). It is ...
(1/3)·(5/3)^4 = 625/243 ≈ 2.57
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The generic n-th term (an) is ...
an = a1·r^(n-1)
where a1 is the first term and r is the common ratio. We can make use of this formula to find the 8th term:
a8 = (27/375)·(5/3)^7 = (3^3/3^7)·(5^7/(3·5^3)) = 5^4/3^5 = 625/243 ≈ 2.57
Answer:
the cyclists rode at 35 mph
Step-by-step explanation:
Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then
distance= speed*time
since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :
time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train
thus denoting v as the speed of the cyclists :
7/8*L / v = L / 40 mph
v = 7/8 * 40 mph = 35 mph
v= 35 mph
thus the cyclists rode at 35 mph
In my estimations you have a triangle with 2 angles and an altitude or height. You have to find the base of the triangle in order to find the area. I set up the triangle and sine the 60 degree angle was bisected I know that the vertex angle is 30 in my right triangle. I used the tangent ratio of 30 to find the base of that triangle and then multiplied it by 2 to get that the whole base measure is 27.71281292. Then I multiplied it by the height I was given of 24 and divided the whole mess in half to get the area. 332.553 units squared.
Answer: i have had this question before and got it right but i forgot i wish i could help
Step-by-step explanation:
P(2) is 14, because the <em>2</em> represents where the number in<em> t,</em> so you have to find the number under 2, so you get 14.
P(2)=14
