Find the 18th term of the sequence
a19 = -7, d= - 17

Step-by-step explanation:

aₙ₊₁ = aₙ + d

a₁₉ = a₁₈ + d

- 7 = a₁₈ + (-17)

a₁₈ = - 7 +17

a₁₈ = 10

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step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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