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10 months ago

A(n) = A(n-1) + 5.1; A(1) = 9.6

Mathematics

1 answer:

zhenek [66]10 months ago

4 0

Answer:

A(n) = 5.1×n + 4.5

Step-by-step explanation:

A(n) = A(n-1) + 5.1

A(1) = 9.6

A(n) - A(n-1) = 5.1 ,where n ≥ 1

This means that (A(n)) is an arithmetic sequence where :

The common difference r = 5.1

and

The first term A(1) = 9.6

Therefore

A(n) = A(1) + (n - 1)×r

= 9.6 + (n - 1)×5.1

= 9.6 + 5.1×n - 5.1

= 5.1×n + (9.6 - 5.1)

= 5.1×n + 4.5

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3 years ago

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To do this, we make use of compliment rule:

$P(x = 0) + P(x \ge 1) =1$

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$P(x \ge 1) =1 - P(x = 0)$

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$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

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2 years ago

Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here

worty [1.4K]

Answer:

53 seconds.

Explanation:

The text and the model are garbled.

This is the question amended:

Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.

H(t) = -10 cos(2π/150 t)+10

When does Hyun Woo first reach a height of 16 m?

<h2>Solution</h2>

When Hyun Woo reaches a height of 16 m the model states:

16 = -10 cos(2π/150 t)+10

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

16 = -10 cos(2π/150 t)+10

10cos(2π/150 t) = - 6

cos(2π/150t) = -0.6

2π/150t = arccos(-0.6)

2π/150t = 2.214297

t = 52.86s ≈ 53 s ← answer

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