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Sliva [168]
2 years ago
15

In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?

Mathematics
1 answer:
guapka [62]2 years ago
6 0
<h3>Answer:  -7</h3>

Explanation:

Pick any term. Subtract off the previous one to find the common difference.

  • term2 - term1 = 6-13 = -7
  • term3 - term2 = -1-6 = -7
  • term4 - term3 = -8-(-1) = -8+1 = -7

And so on. You only need to pick one of those to show as your steps to your teacher. However, doing all three subtractions is a good way to get practice in seeing how we have an arithmetic sequence. The common difference must be the same each time.

We subtract 7 from each term to get the next term, i.e. we add -7 to each term to get the next one.

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You are riding a train. Your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds.
Sladkaya [172]

Answer:

Let the additional weight that can be added be = x

Current weight of the bag = 38 pounds

Total weight can be = 50 pounds

The equation becomes:

38+x < or equal 50

x < or equal 50-38=12

Hence, a weight of 12 pounds cab be added to the current wight.

6 0
3 years ago
A town has a population of 13,000 and grows at 5% every year what will the population be after 11 years to the nearest whole num
scoray [572]
This question is based on the concept of
amount of interest. Therefore, 22,234 would be
the population after 11 years, to the nearest
whole number.
Given:
A town has a population of 13000 and grows at
5% every year.
We need to determined the population after 11
years, to the nearest whole number.
We know that,
Formula =A = P(1+ r)
Where, p be the population. r is the rate and t is
the time.
P= 13000,
r= 5%
†= 11
Now put all these values in formula.
We get,
5
A = 13000(1 +
A
= 13000(1 + 0.05)11
A
= 1300022, 234.41(0.95)
5 0
2 years ago
A fisher usually catches 540kg of anchovies off El Niño,the fisher caught 85% less fish. How many kilograms of fish did the fish
Nookie1986 [14]
The fisherman caught 365kg During El Niño. You subtract 540kg by 85.
7 0
4 years ago
Solve for x: <br> dx+fx=8-2dx
Rom4ik [11]

Answer:

fx=8-3dx

Step-by-step explanation:

8 0
3 years ago
And animals weight change from 12 pounds to 16 pounds what was the percent increase to the nearest whole number
amm1812
That's a 33% increase.

I calculated this using the formula:

\frac{|n-o|}{o} * 100

Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase.  You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.  

Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.


5 0
3 years ago
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