Answer:
Option B is correct.
sum of given geometric series is, 255
Step-by-step explanation:
Evaluate the geometric series: 
we can write this as:
Formula for the sum of the geometric series:
for r > 1
where
a is the first term
n is the number of terms
r is the common ratio
In the given series:
common ratio (r) = 2>1, n = 8 and first term(a) = 1
Since,
and so on...
then substitute the given values in [1] we have;
or
Therefore, the sum of given geometric series is, 255
Answer:
missing side length is 12
Step-by-step explanation:
similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).
so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.
we see, when we go from small to large, that we have the ratio 32/40 = 4/5.
so, multiplying the larger side by this, we get the shorter side.
15 × 4/5 = 3 × 4 = 12
the proportion part in your picture is a bit confusing :
yes,
x/15 = 32/40 = 32/40
I don't know, why this last expression was repeated.
x/15 = 32/40
x = 15×32/40 = 15×4/5 = 3×4 = 12
as you see we get of course the same result doing it that way.
#1
avatar+34237
0
Temp in city for weeks 1-4 = Starting temp - (20 deg C / 4 wk) * wk#
Temp in City for weeks 1-4 = starting temp - 5 deg c/wk * wk#
This shows the temperature in the city for weeks 1 2 3 4 given the original temperature of the city and whichever week you want to know from the starting point....week 1 week 2 week 3 week 4 .....
Answer:
one fraction 17/5
mixed number: 3 2/5
Step-by-step explanation:
