Answer:
≈ <em>3.4</em><em> </em>
Step-by-step explanation:
Coordinates of the point that divide segment with endpoints A( 
, 
) and B( 
, 
) in a ratio a : b are
, 
)
A(- 4, - 7)
B(8, - 4)
Ratio 8 : 5
x-coordinate is 
= 
≈ <em>3.4</em>
Ending Amount = Beginning Amount / 2^n
where 'n' = # of half lives
n = 20,000 / 1,600 = 12.5 half-lives
Ending Amount = 1 kg / 2^12.5
Ending Amount = 1 kg /
<span>
<span>
<span>
5,792.6
</span></span></span>Ending Amount =
<span>
<span>
<span>
0.00017263 kilograms = </span></span></span><span>0.17263 grams
</span>
Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
7/8 can be converted to .875 because 1/8 is .125 and .125*7=.875. Add -12 to it so the answer is -12.875
