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olasank [31]
3 years ago
9

Please help me with these 3 questions!! Will mark Brainliest :)

Mathematics
1 answer:
dem82 [27]3 years ago
6 0

Answer:

7. 75.36 inches

8. 21 inches

9. 13 inches

Step-by-step explanation:

7. <em>Circumference = π × d</em>

The diameter would be two times the radius, or 2 × 12 = 24. So, circumference would be 3.14 × 24 = 75.36 inches.

8. <em>Circumference = π × d</em>

If we move variables around, <em>d = Circumference / π</em>

So, d = 65.94 / 3.14 = 21 inches.

9. To do this, let's figure out the diameter: <em>d = Circumference / π</em>

d = 81.64 / 3.14 = 26. Now the diameter is two times the radius, so to get the length of the radius, we must divide the diameter in half. 26 / 2 = 13 inches.

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Count the number of strings of length 9 over the alphabet {a, b, c} subject to each of the following restrictions.
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Answer:

The solution and complete explanation for the above question and mentioned conditions is given below in the attached document. I hope my explanation will help you in understanding this particular question.

Step-by-step explanation:

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3 years ago
Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive
navik [9.2K]

Answer:

The explicit formula

a_n = 3 +0.25 (n-1)

The recursive formula

a_1 = 3                            for n=1

a_n = a_ {(n-1)} +0.25     if n>1

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

a_n = a_1 + d (n-1)

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d = 0.25

a_1 is the first term of the sequence.

a_1 = 3

So

a_n = 3 +0.25 (n-1)

Finally, the recursive formula is:

a_1 = 3\\\\a_n = a_ {(n-1)} +0.25

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Step-by-step explanation:

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