A stone fell from the top of a cliff into the ocean.

Mathematics

1 answer:

BabaBlast [244]3 years ago

3 0

Answer:

down below

Step-by-step explanation:

total distance = sum of velocity * time for both legs of the journey;

let the time taken in air be t

hence time taken in water is 12-t

127 = 16*t + 3(12-t)

127 = 16t + 36 - 3t

127 - 36 = 16t - 3t

91 = 13t

t = 91/13 = 7 seconds

ence time taken in air = 7 seconds

time taken in water is 12 - 7 = 5 seconds

checking; 16*7 + 3*5 = 127 (proven

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Find d for the arithmetic series with S17=-170 and a1=2

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So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

$\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
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$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
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n=n^{th}\ term\\
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\end{cases}
\\\\\\
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