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3 years ago

1. Rhode Island is the smallest state. It has an area of

Mathematics

1 answer:

Viktor [21]3 years ago

5 0

Answer:

663.4

Step-by-step explanation:

1.55 x 10 = 15.5

4.28 x 10 = 42.8

42.8 x 15.5 = 663.4

hope i helped

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I will mark as brainliest:)

Aliun [14]

Answer:

Cube C

Step-by-step explanation:

${ \sf{because \: it \: is \: identical}}$

8 0

3 years ago

What is the nth term rule of the quadratic sequence below?

Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

Given sequence:

6, 20, 40, 66, 98, 136, ...

Calculate the first differences between the terms:

$6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136$

As the first differences are not the same, calculate the second differences:

$14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38$

As the second differences are the same, the sequence is quadratic and will contain an n² term.

The coefficient of the n² term is half of the second difference.

Therefore, the n² term is: 3n²

Compare 3n² with the given sequence:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

The second operations are different, therefore calculate the differences between the second operations:

$3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18$

As the differences are the same, we need to add 5n as the second operation:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2 &-2 & -2 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0

1 year ago

Please help and ill give you brainliest and please don't just say something i lov youu and ill giv you points

ch4aika [34]

Answer:

1. 2(x+3)

2.x-3

3.2(x-3)

4.2-3x

5.x2+3

6.3-2

7.3+2

8.3x-2

9.3/x

10.x/3

Step-by-step explanation:

5 0

3 years ago

If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3:7:6:4, then name the type of quadrilateral

lesya692 [45]

Answer:whats the full questions?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Changethe improper fraction into an equal mixed number 15/4

frez [133]

Answer:

15 divided by 4 = 3 3/4

Step-by-step explanation:

First divide 15 on 4 to get 3.75. convert 3.75 to a fraction. 3 will stay as three, and 0.75 will be converted to 3/4. the answer to your question is 3 and 3/4. I hope this was correct. if it was then please mark as brainliest.

3 0

3 years ago

Read 2 more answers