Answer:
Either
(approximately
) or
(approximately
.)
Step-by-step explanation:
Let
denote the first term of this geometric series, and let
denote the common ratio of this geometric series.
The first five terms of this series would be:
First equation:
.
Second equation:
.
Rewrite and simplify the first equation.
.
Therefore, the first equation becomes:
..
Similarly, rewrite and simplify the second equation:
.
Therefore, the second equation becomes:
.
Take the quotient between these two equations:
.
Simplify and solve for
:
.
.
Either
or
.
Assume that
. Substitute back to either of the two original equations to show that
.
Calculate the sum of the first five terms:
.
Similarly, assume that
. Substitute back to either of the two original equations to show that
.
Calculate the sum of the first five terms:
.
Answer:
~181 containers filled completely, 6 eggs left over
Step-by-step explanation:
2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers
181 × 12 = 2,172 eggs
2,178 eggs - 2,172 = 6 eggs left over
HI!
Here are the answers:
1) x=39/7 or 5.57
2) x=1
3) y=42
4) c=9
I hope this helps!
Feel free to mark brainliest!
If you have any other questions, don't hesitate to let me know!
The answer would be 7776^2 / 343^2 written as a fraction OR about 513.95402 written as a decimal.
General formula of geometric sequence
an = am × r^(n-m)
a₂₄ is the number of cells after 24 hours, a₀ is the number of cells before doubling
a₂₄ = a₀ × r⁽²⁴⁻⁰⁾
a₂₄ = 1 × 2⁽²⁴⁻⁰⁾
a₂₄ = 2²⁴