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ahrayia [7]
2 years ago
12

Over a 24-hour period, the tide in a harbor can be modeled by one period of a

Mathematics
1 answer:
Nookie1986 [14]2 years ago
3 0

The sinusoidal function that models the situation is:

y = 4.5\sin{\left(\frac{\pi}{12}\right)x} + 5

From the function, we have that:

  • The amplitude is of 4.5 ft.
  • The mid-line equation is of y = 5.

<h3>What is a sinusoidal function?</h3>

A sinusoidal function is a trigonometric function, and has the following format, considering no phase shift:

y = A\sin{(Bx)} + C

In which:

  • A is the amplitude, which is the twice the difference between the largest and smallest value.
  • The period is of \frac{2\pi}{B}.
  • C is the vertical shift, and the mid-line equation is y = C.

In this problem, the high is of 9.5 ft and the low is of 0.5 ft, hence, for the amplitude, we have that:

2A = 9

A = \frac{9}{2}

A = 4.5

With an amplitude of 4.5, the standard function would vary between -4.5 ft and 4.5 ft, while in this problem the variation is from 0.5 ft to 9.5 ft, hence the vertical shift is of:

C = 9.5 - 4.5 = 4.5 - (-0.5) = 5

Which means that the mid-line equation is of y = 5.

Period of 24 hours, hence:

\frac{2\pi}{B} = 24

24B = 2\pi

B = \frac{\pi}{12}

Hence, the function is:

y = 4.5\sin{\left(\frac{\pi}{12}\right)}x + 5

You can learn more about sinusoidal functions at brainly.com/question/26384970

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MArishka [77]

Answer:

w=+/-4.24 or whatever could be either since its squared

Step-by-step explanation:

subtract 25 so 5x^2=90. divide by 5 so w^2=18 then square root to get rid of the ^2 so w=+/-4.24

4 0
2 years ago
The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is s
liubo4ka [24]

ANSWER:

The average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.

STEP-BY-STEP EXPLANATION:

The cental limit theorem states, that id the sample size is large (30 or more), then the sampling distribution of the sample means is approximately normal with mean ц and standar deviation б/\sqrt{n}

Thus the correct answer is the average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.

6 0
3 years ago
Which value of y makes the inequality 3y^2 +2(y-5)&gt;8 true?
Alex

Answer: D

Step-by-step explanation:

A) 3*0^2+2(0-5)>8

-10>8 -> not true

B) 3*(-1)^2+2(-1-5)>8

3*1+2*(-6)>8

3- 12>8

-9> 8 -> not true

C) 3*(-2)^2+2(-2-5)>8

3*4+2*(-7)>8

12-14>8

-2> 8 -> not true

D) ) 3*(-3)^2+2(-3-5)>8

3*9+2*(-8)>8

27-16>8

11> 8 -> true

4 0
3 years ago
There are 12,000 people attending a concert. They announce that 20% of the people that purchased tickets did not come to the con
Marysya12 [62]

Answer:

15,000

Step-by-step explanation:

20% of 15,000 is 3,000. 15,000-3,000=12,000

8 0
3 years ago
Help SOS LOTS OF SOS
Galina-37 [17]

Answer:

i think its 12 :)

Step-by-step explanation:

20 + 48 = 68

180 - 68 = 112

20 + 48 + 112 = 18 (a full triangle!)

8 0
3 years ago
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