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VashaNatasha [74]
3 years ago
12

Suppose the function H(t) = 8.5sin(0.017t – 1.35) + 12 models the hours of sunlight for a town in Alaska, where t = 1 is the fir

st day of the year. Based on the function, what is the approximate range of daylight hours for the town?
Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Answer:

  3.5 to 20.5 hours

Step-by-step explanation:

The range of the sine function is -1 to 1, so the range of H will be ...

  -8.5 +12 = 3.5

to

  8.5 +12 = 20.5

The length of the day varies by 17 hours from 3.5 hours to 20.5 hours.

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Step-by-step explanation:

∫ dt / (cos²(t) ⁹√(1 + tan(t)))

If u = 1 + tan(t), then du = sec²(t) dt.

∫ du / ⁹√u

∫ u^(-1/9) du

9/8 u^(8/9) + C

9/8 (1 + tan(t))^(8/9) + C

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If I was making cupcakes and brownies for my school fundraiser and the brownies needed 1.28cups of sugar and the cupcakes needed
xxMikexx [17]
You need A lot of sugar
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Nuetrik [128]

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Step-by-step explanation:

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Which of the following are prime factorizations of the number 70? Check all<br> that apply.
Shtirlitz [24]

The prime factorization of 70 is 2*5*7

Further explanation:

First of all let us define prime factorization

Prime factorization consists of all the prime multiples of a number i.e. the factors should also be prime numbers

Given number is 70

The multiples of 70 are

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70 = 5*14 => 14 is a composite number

70 = 7*10 => 10 is a composite number

70 = 2*5*7 => All factors are prime so

The prime factorization of 70 is 2*5*7

Keywords: Factorization, Prime factors

Learn more about prime factorization at:

  • brainly.com/question/12938965
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#LearnwithBrainly

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sattari [20]

Answer:

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Divide both sides by -1. Since we are dividing by a negative number, the sign would change

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Thus, the graph would be graph C in option C.

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