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Alex
3 years ago
7

PLEASE HELP!

Mathematics
1 answer:
Kay [80]3 years ago
4 0
Domain is all real numbers because there is a y value for every x.
The amplitude is the absolute value of the constant of the outside: |-6| = 6
The range is that x is between the positive and negative amplitude: -6 ≤ y ≤ 6
The period is usually 2π, but here it is 2π/4, or π/2, as it goes up and down 4 times as fast as it would if it was just cos x.
Answer: B
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Find n for the arithmetic sequence for which sn=345, u1=12 and d = 5 .
liq [111]

Answer:

n = 10

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 and S_{n} = 345, thus

\frac{n}{2} [ (2 × 12) + 5(n - 1) ] = 345 ( multiply both sides by 2 )

n( 24 + 5n - 5) = 690 ← distribute and simplify left side

n(19 + 5n) = 690

19n + 5n² = 690 ( subtract 690 from both sides )

5n² + 19n - 690 = 0 ← in standard form

(5n + 69)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

5n + 69 = 0 ⇒ 5n = - 69 ⇒ n = - \frac{69}{5}

n - 10 = 0 ⇒ n = 10

However, n > 0 , thus n = 10

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Answer:

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Answer:

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This question is too hard
Bond [772]

Answer:270

Step-by-step explanation:180/2=90

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Hope this helps :)

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I think the answer is 7. Hope this helps!
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