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:
355.2
Step-by-step explanation:
Given:
Four percent of Jennie's skin cells were burned
Total skin cells having Jennie = 3.7 x 10^10
= 
To find:
How man skin cells were not burned ?
Solution:
Total skin cells having Jennie = 370
Percent of Jennie's skin cells were burned = 4%
Skin cells burned from a fire = 
= 
= 
Remaining skin cells which not burned = 370 - 14.8 = 355.2
Therefore, 355.2 skin cells were not burned.
It would be 8 to the 8th power
Answer:
k = 12
Step-by-step explanation:
Given:
The equation 
To find:
Value of
for which the given equation has one distinct real solution.
Solution:
The given equation is a quadratic equation.
There are always two solutions of a quadratic equation.
For the equation:
to have one distinct solution:

Here,
a = 2,
b = -k and
c = 18
Putting the values, we get:

The equation becomes:

And the one root is:
