Simplify 1/4(8m - 4n) + 1/3(6m + 3n)

Oh my gosh I hate math, do you

Step-by-step explanation:

thus the speed off the walk way is 5 ft/s

the speed of the moving walkway is 3 ft/s

Answer:

31.938

that is what i got

Step-by-step explanation:

Answer:

-8<r

Step-by-step explanation:

32>16-2r

minus 16 both sides

16>-2r

divide by negative two both sides since it's a negative you switch sighs

-8<r

Answer:

Step-by-step explanation:

x2 = 302 + 302 - 2·30·30cos140° = 3178.88; x = √3178.88 = 56.38

The function f(n) = 8n - 5 + (-1)ⁿ × 3 indeed generates the given sequence 51, 43, 35, 37, 19.

The given sequence is 51, 43, 35, 37, 19. To identify the underlying function describing this sequence, let's analyze the pattern between the terms.

Subtraction: If we look at the differences between consecutive terms, we get the following sequence of differences: -8, -8, 2, -18.

Alternating Behavior: The differences between terms seem to alternate between subtracting 8 and adding 2.

Possible Linear Function: The alternating behavior suggests that this sequence might be generated by a linear function with some sort of periodic or alternating component.

Linear Function with Alternating Component: A possible function to describe this sequence could be:

  f(n) = 8n - 5 + (-1)ⁿ × 3

  Here, n represents the position in the sequence (starting from n = 1), and (-1)ⁿ introduces the alternating component. When n is even, (-1)ⁿ becomes 1, and when n is odd, (-1)ⁿ becomes -1.

Now, let's test this function with the given values:

- For n = 1: f(1) = 8(1) - 5 + (-1)¹ × 3 = 8 - 5 + (-1) × 3 = 3 - 3 = 0

- For n = 2: f(2) = 8(2) - 5 + (-1)² × 3 = 16 - 5 + 1 × 3 = 11 + 3 = 14

- For n = 3: f(3) = 8(3) - 5 + (-1)³ × 3 = 24 - 5 - 3 = 19 - 3 = 16

- For n = 4: f(4) = 8(4) - 5 + (-1)⁴ × 3 = 32 - 5 + 3 = 27 + 3 = 30

- For n = 5: f(5) = 8(5) - 5 + (-1)⁵ × 3 = 40 - 5 - 3 = 35 - 3 = 32

For similar questions on sequence

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