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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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100 POINTS, WILL MARK BRAINLIEST! If h(x) = f[f(x)] use the table of values for f and f ′ to find the value of h ′(1).
victus00 [196]

Answer:

The value of h^\prime(1)=5

Step-by-step explanation:

Given that  h(x)=f(f(x))

now to find h(x)=f(f(x)) from the given functions f(x) and f'x

let h(x)=f(f(x))

Then put x=1 in above function we get

h(1)=f(f(1))

=f(3) (from the table f(1)=3 and f(3)=6)

Therefore h(1)=6

Now to find h'(1)

Let

h^{\prime}(x)=f^{\prime}(f^\prime(x)) (since  h(x)=f(f(x)) )

put x=1 in above function we get

h^{\prime}(1)=f^{\prime}(f^\prime(1))

=f^{\prime}(2)    (From the table f^\prime(1)=2 and f^\prime(2)=5)

h^{\prime}(1)=5

Therefore h^{\prime}(1)=5

4 0
3 years ago
Read 2 more answers
PLEASE HELP <br> Show work :)
S_A_V [24]

Step-by-step explanation:

a a a a a a a abedRounding of a number means replacing it with another number that is nearly equal to it but easy to represent or write. For example 754 rounded to nearest thousand is 1000. If the rounding number is 4 or less it is round down. If the rounding number is 5 or more it is rounded up

4 0
2 years ago
A chocolate factory uses 1/6 of a bag of cocoa butter in each packet of chocolate. The factory used 1/3 of a bag of cocoa butter
blsea [12.9K]

Answer:

2 packets of chocolates

Step-by-step explanation:

Find how many packets of chocolates they made by dividing 1/3 by 1/6:

1/3 / 1/6

= 1/3 x 6

= 2

So, the factory made 2 packets of chocolates

7 0
2 years ago
Mr. Ignacio went diving along the coral reef in Oahu. He descended 12 meters below the sea. The difference between this point on
Aliun [14]

Answer:

488 meters above sea level.

Step-by-step explanation:

Since the difference between that point and the tallest point is 1,232 you need to subtract 1,232 - 12 = 1,220 to get how far Mt ka'ala is from sea level. Since the ranger station is 2/5 up the mountain you can do 1,220/5 = 244. This is 1/5 of the way up the mountain. Then you do 244 x 2 = 488. That is 2/5 up the mountain. Final answer: The ranger station is 488 meters above sea level.

7 0
2 years ago
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