Woo-Jin and Kiran were asked to find an explicit formula for the sequence 64\,,\,16\,,\,4\,,\,1,...64,16,4,1,...64, comma, 16, c
olya-2409 [2.1K]
Answer:
Step-by-step explanation:
The given sequence is
64, 16, 4, 1
It is a geometric series because it has a common ratio 
.
First term is 64.
The explicit formula of a geometric series is
where, a is first term and r is common ratio.
Substitute a=64 and r=1/4 in the above function.
Therefore, the required explicit formula is .
By definition we have to:
Scientific notation, also called pattern or notation in exponential form, is a way of writing numbers that accommodate values too large or too small to be written in a conventional manner.
The use of this notation is based on powers of base 10.
A number written in scientific notation follows the following pattern:
The number m is called "mantissa" and e the "order of magnitude"
For this case we have:
0.000007
Using the definition, we have that the measure of the diameter in scientific notation is:
Answer:
An expression that represents this diameter, in meters in scientific notation is:
Answer:
Step-by-step explanation:
Combine like terms
3v + 4v
26=7v+12
Subtract 12 from both sides of the equation
26-12
12-12
14=7v
Simplify
so subtract the 12's
Divide both sides of the equation by the same term
14 divided by 7
7 divided by 7
Simplify
do the division and move the term on the other side and it would be
v=2
Solution
v=2
You can make some algebraic equations and solve it.
The first would be:
The second would be
You can then rearrange the second into
And subsitute it into the first like so:
After that, distribute the y into the parantheses.
Subtract the 21 on both sides and multiply by -1 on both sides:
You then can factor it into:
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.
