Answer:
k = 10
Step-by-step explanation:
The sum of k terms of a geometric sequence with first term a1 and common ratio r is given by ...
... Sk = a1·(1 -r^k)/(1 -r)
For the given numbers, this is ...
... 118096 = 78732·(1 -(1/3)^k)/(1 -1/3)
Manipulating this to get the term containing k, we have
... 1 -(2/3)(118096/78732) = (1/3)^k
... 1/59049 = (1/3)^k
Taking logarithms, we get
... -log(59049) = -k·log(3)
... log(59049)/log(3) = k = 10
Answer:
it costs $17.7
Step-by-step explanation:
1.35/9 is 0.15
0.15 * 118 = 17.7
Answer:
C. 8
Step-by-step explanation:
I almost thought this was going to be Pythagorean Theorem, but no.
Use Cosine Law:
cos θ = 
θ = cos−1(0.6)
θ = 53.130...
Now use the SOHCAHTOA ratio for sine (
) to find x now that you have one angle:
sin θ = 
x = 10sinθ (θ isn't needed to be written out as it is shown in the equation above)
x = 8
1,2,2,2,3,3,3,3,4,4,4,4,5 are all the test scores. if you add them all up, its 40, and there are 13 numbers in the data set, so you divide 40 by 13, and you get 3.07692 overscore, or 3 and 10/13
Answer:
4:12
Step-by-step explanation:
I think you asked for a ratio?
