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Katarina [22]
3 years ago
10

Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at

midnight, rises to a high of 8.3 ft, falls to a low of 0.4 ft, and then rises to 4.35 ft by the next midnight.
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the situation?

f(x)=
Mathematics
1 answer:
netineya [11]3 years ago
8 0

Answer:

  f(x) = 4.35 +3.95·sin(πx/12)

Step-by-step explanation:

For problems of this sort, a sine function is used that is of the form ...

  f(x) = A + Bsin(2πx/P)

where A is the average or middle value of the oscillation, B is the one-sided amplitude, P is the period in the same units as x.

It is rare that a tide function has a period (P) of 24 hours, but we'll use that value since the problem statement requires it. The value of A is the middle value of the oscillation, 4.35 ft in this problem. The value of B is the amplitude, given as 8.3 ft -4.35 ft = 3.95 ft. Putting these values into the form gives ...

  f(x) = 4.35 + 3.95·sin(2πx/24)

The argument of the sine function can be simplified to πx/12, as in the Answer, above.

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Perform the indicated operation of <br>4.2+1.9​
kykrilka [37]

Answer:

6.1

Step-by-step explanation:

hope it helps<3

4 0
3 years ago
3x+1=8x-24 helpppppppp
Irina18 [472]

3x+1 =8x -24

3x -8x +1 = -24

-5x +1 = -24

-5x = -24 -1

-5x = -25

x = -25/-5 = 5

x = 5

4 0
3 years ago
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The diagram shows two nested triangles that share a vertex.Find a center and a scale factor for a dilation that would move the l
nasty-shy [4]

Transformation that changes the size of a shape is referred to as dilation.

  • The scale factor that moves the large triangle to the small one is 1/5
  • The center of dilation is: (-1,1)

<u>The center of dilation</u>

From the diagram (see attachment), the triangles share a common vertex at (-1,1)

This means that, the center of dilation is (-1,1)

<u>The scale factor of dilation</u>

To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.

From the attached image:

\mathbf{Base\ of\ small\ triangle = 1}

\mathbf{Base\ of\ large\ triangle = 5}

So, the scale factor (k) from large to small is:

\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }

\mathbf{k = \frac{1}{5} }

Read more about dilation at:

brainly.com/question/13176891

3 0
3 years ago
SIMPLE! 30 POINTS AND I WILL GIVE BRAINLIEST
Serhud [2]
SOLUTION:

To begin with, let's establish the problem as the following:

5 + 7

An effective method to solve this problem would be to convert it into a visual representation in order to obtain a better understanding.

As attached in the diagram above, I have demonstrated the problem visually. The five red circles / dots represent the five in the problem whilst the 7 circles / dots represent the 7 in the problem. Now we must simply count each of the circles / dots to obtain the total number which would be our final answer.

We can also simply use our fingers on our hands to solve the problem by counting 5 on our fingers and then adding 7 or vice versa to obtain the final answer.

FINAL ANSWER:

Hence, through either of these two methods, we obtain the final answer to the problem as follows:

5 + 7 = 12

Hope this helps! :)
Have a lovely day! <3

4 0
3 years ago
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How do I do number 10
kakasveta [241]
I am guessing you have to rotate it 180 degrees and see if it fits in the area in which it’s supposed to fit it’s there another part to the question?
4 0
3 years ago
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