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shtirl [24]
3 years ago
6

The function f(t) = 5 cos(pi over 6t) + 7 represents the tide in Stanley Sea. It has a maximum of 12 feet when time (t) is 0 and

a minimum of 2 feet. The sea repeats this cycle every 12 hours. After four hours, how high is the tide?
11.3 feet


9.5 feet


4.5 feet


2.6 feet

Mathematics
2 answers:
Aliun [14]3 years ago
7 0

Answer:

the answer to this question would be 4.5

Juliette [100K]3 years ago
4 0
The function for the height is
f(t) = 5cos( \frac{ \pi }{6} t)+7

f(0) = 5 cos(0) + 7 = 5 + 7 = 12  (verified)
The period is T  = 12 hours.

After 4 hours (t = 4), the height is
f(4) = 5cos( \frac{ 4\pi }{6} )+7 = 5*(-0.5)+7=4.5

A graph of f(t) confirms the answer.

Answer: 4.5 ft

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<h3>The experiment</h3>

From the question, we understand that:

The Fresno Mall plans to survey teenagers about a newly developed soft drink

This implies that the experiment is the survey of teenagers for a new soft drink

<h3>A possible outcome</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one outcome could be "Prefer this new drink"

<h3>A possible event</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one event could be "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"

<h3>A new survey</h3>

Using the question as a guide, a survey could be:

<em>In a survey of 500 randomly selected adults, 68% of the respondents think that the government should require parents to have their children vaccinated.</em>

Here, we have:

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<h3>Importance of probability</h3>

Probabilities, in this scenario are used to determine the proportions of outcomes, events and it is used to make informed decisions

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5 0
1 year ago
Graph the line y = 3x
ollegr [7]

Answer:

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7 0
2 years ago
Read 2 more answers
The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t
valentina_108 [34]
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7 
7 0
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You go down 8 floors in an elevator. Your friend goes up5 floors in an elevator. Write each amount as an integer.
Ivahew [28]
-8 and 5 (positive 5)
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Step-by-step explanation:

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