Answer:
the weight of a liquid is 138.37 grams.
Step-by-step explanation:
we are given that the volume of the container=202 ml(milliliter).
also, the density of the liquid is given =0.685 grams over milliliter.
we know that the mass or weight of the liquid is given by:
weight=density×volume .
weight=(0.685×202) grams.
weight=138.37 grams.
hence, the weight of the liquid that exactly fills a 202.0-milliliter container is 138.37 grams.
Answer:
See answer below
Step-by-step explanation:
Define the intervals:
for n≥1.
The intervals are nested, in the sense that 
To see this, use the fact that for all n≥1, -1/n≤-1/(n+1) and 1/n≥1/(n+1) (intuitively, the intervals are "shrinking" in size, and are centered around √2).
The only point common to all intervals is √2, in the sense that 
The idea for this construction is to center the intervals around √2 and shrink their size with the summand 1/n. As n goes to infinity, 1/n tends to zero and the intervals became closer and closer to √2, but they NEVER degenerate to the point √2, in contrast to their intersection.
(a) 5^31-5^29 = 5^29(5^2-1)
= 5^29(24)
= 5^29(6)(4)
=5^26(6)*[(5)(5)(4)]
=5^26(6)*100
(b) 25^9+5^17 = 5^18+5^17
=5^17(5+1)
=5^17(6)
=5^16[(5)(6)]
=5^16*30
(c) 27^10–9^14 = 3^30-3^28
=3^28(3^2 -1)
=3^28(8)
=3^27[(3)(8)]
=3^27*24
<span>There are 8 girls per 15 campers because 8 divided by 7 boys and 8 girls. The proportion is 8/15. If there are 195 campers, then you are looking for the number of girls, so 8/15 = x/195, where x is the number of girls.
Solve for x.
15x = 8(195)
1560 = 15x
x = 104
104 girls.
Number of boys = y,
195-104=y
y = 91</span>
