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bearhunter [10]
4 years ago
13

Priyanka and Ethan were asked to find an explicit formula for the sequence -3,-14,-25,-36,...

Mathematics
1 answer:
irga5000 [103]4 years ago
3 0

Answer:

a_{n} = 8 - 11n

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

a_{n} = a + (n - 1)d

where a is the first term and d the common difference

here a = - 3 and

d = - 14 - (- 3) = - 14 + 3 = -11, thus

a_{n} = - 3 - 11(n - 1)

                        = - 3 - 11n + 11

                        = 8 - 11n

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Put 3/8, 2/5, and 0.38 from least to greatest
Vesnalui [34]
3/8=0.375
2/5=0.4
0.38=0.38

0.375<0.38<0.4

therefore: 3/8,0.38,2/5

*Remember that you can convert fractions to decimals by dividing the numerator by the denominator! This makes it much easier to compare :)
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3 years ago
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USE DISTANECE= RATE * TIME
torisob [31]
A]
D=R×t
d=5.8r
d2=5.1(r+7)
0.7r=35.7
r=51 mi/hr
thus the average speed on the outbound trip would be:
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b]
let speed of fishing boat=x km/h
speed of cruise ship=(x+12.5) km/h
distance traveled by fishing boat=11.5×x=11.5x km
distance traveled by cruise ship=(x+12.5)×11=(11x+137.5) km
Total distance covered by the ships:
11.5x+11x+137.5=322
22.5x=322-137.5
22.5x=184.5
thus
x=184.5/22.5
x=8.2 km/h
The speed of fishing boat is 8.2 km/hr





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