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:
D. 27
Step-by-step explanation:
1.5 cm / 0.5 cm = 3
So now think of the cube as 3 blocks x 3 blocks x 3 blocks, instead of 1.5cm x 1.5cm x 1.5cm. 3 x 3 x 3 = 27
I hope this helped!
Answer:
12
Step-by-step explanation:
Answer: TRUE
Step-by-step explanation: The number 3 is an upper bound because use 3 as a multiplyer of each bcoefficient of the polynomial and at each multiple,subtract the next coefficient from it. if all result after subtraction show positive, then the number used is an upper bound. This method is known as the synthetic division.
3 3 -5 -5 5 2
0 9 12 21 78
3 4 7 26 80
Answer:
A. Positive linear.
Step-by-step explanation:
We have that both variables increases, then we have a positive relation. A curvilinear option can not be possible because with this option in some regions could happen that when one variable increases the other one decreases. The negative linear relation can no be because with this option when one variable increases the other decreases. A non linear option is the same as a curvilinear option then can not be possible. Then the best option is a positive linear relationship.
