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4 years ago

Find the 43rd term of the sequence 27,24,21,18

2 answers:

7 0

The sequence is decreasing by 3 each time
So the formula would be y =27-3(x-1)
Plug in 43
Y =27-3(43-1)
Y = 27-3(42)
Y = 27-126
Y = -99
The 43rd term of the sequence would be -99

Hope this helps :)

spayn [35]4 years ago

7 0

The best answer is -99

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The surface area is equal to $390\ in^{2}$

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A boat traveled 147 miles downstream and back. The trip downstream took 7 hours. The trip back took 21 hours. What is the speed

zimovet [89]

Answer:

The speed of current is 7 miles per hour

Step-by-step explanation:

Given as :

The distance cover by boat in downstream = D = 147 miles

The distance cover by boat in upstream = d = 147 miles

The time taken in downstream trip = T = 7 hours

The time taken in upstream trip = t = 21 hours

Let The speed of boat in still water = x mi/h

And The speed of current = y mi/h

The speed in downstream = S = (x + y) mi/h

The speed in upstream = s = (x - y) mi/h

Now, According to question

∵ Distance = speed × time

For downstream

D = S × T

Or, 147 miles = (x + y) mi/h × 7 hours

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Or, x + y = $\dfrac{147}{7}$

∴ x + y = 21 ........A

For upstream

d = s × t

Or, 147 miles = (x - y) mi/h × 21 hours

i.e 21 (x - y) = 147

Or, x - y = $\dfrac{147}{21}$

∴ x - y = 7 .......B

Now, Solving equations A and B

So, (x + y) + (x - y) = 21 + 7

Or, (x + x) + (y - y) = 28

Or, 2 x + 0 = 28

∴ x = $\dfrac{28}{2}$

i.e x = 14 miles per hour

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Now, putting the value of x into eq B

So, y = x - 7

Or, y = 14 - 7

i.e y = 7 miles per hour

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Hence, The speed of current is 7 miles per hour . Answer

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3 years ago