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solniwko [45]
3 years ago
13

The temperature in Jukkasjarvi, Sweden, was -3 degrees at 3 P.M. After 6 hours, the temperature dropped to -15 degrees. The temp

erature dropped the same amount each hour. What was the change in temperature each hour?
Mathematics
1 answer:
aliina [53]3 years ago
6 0
It would drop -5 degrees each hour
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The nth term of this sequence is ansquared+by+c<br> 1,11,27,49 <br> Find the values of a b and c
stiv31 [10]

Answer:

The values of a, b and c are:

  • a = 3
  • b = 1
  • c = -3

Step-by-step explanation:

Step 1:

First Confirm the sequence is quadratic by finding the second difference.

Sequence = 1,11,27,49

1st difference:

  • 11-1=10
  • 27-11=16
  • 49-27=22

2nd difference:

  • 16-10=6
  • 22-16=6

Step 2:

Just divide the second difference by 2, you will get the value of a.

6 ÷ 2 = 3

So the first term of the nth term is 3n^{2}

Step 3: Next, substitute the number 1 to 5 into  3n^{2}

n = 1,2,3,4,5

3n² = 3,12,27,48,75

Step 4:

Now, take these values (3n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

3n² = 3,12,27,48,75

Differences:

1 - 3 = -2

11 - 12 = -1

27 - 27 = 0

49 - 48 = 1

Now the nth term of these differences (-2,-1,0,1) is (n - 1) - 2.

so b = 1, and c = -3

Step 5: Write down your final answer in the form an² + bn + c.

3n² + (n - 1) -2

= 3n² + n - 1 - 2

= 3n² + n - 3

Therefore, the values of a, b and c are:

  • a = 3
  • b = 1
  • c = -3
4 0
4 years ago
HELP ME PLEASEEEEEEEEEE SELECT ALL CORRECT
8090 [49]

Answer:

(2,0), (-5,0)

Step-by-step explanation:

I'm not sure if this is correct or not, but going off of what they had for points J and K, I think it's the best answer.

3 0
3 years ago
Ifa line segment has a length of 12 units and after a dilation the image
BlackZzzverrR [31]
<h3>Answer: Choice A) 1/3</h3>

================================================

Work Shown:

x = preimage length = 12

y = image length = 4

z = scale factor

z = y/x

z = 4/12

z = (1*4)/(3*4)

z = 1/3

The scale factor is 1/3.

This means the image is 1/3 of the length of the preimage.

4 0
3 years ago
Find S20 for the arithmetic series 8 + 16 + 24 + 32 +…
serg [7]
I did the math it should be 1672
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3 years ago
It cost David $212 to make chocolate bars this month at least how many chocolate bars must his sell at eight dollars each in ord
Aleonysh [2.5K]
So we take 212/8 to get the number of chocolate bars and we get 26.5. David can not sell half a chocolate bar so he must sell 27 chocolate bars.
3 0
3 years ago
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