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emmainna [20.7K]
3 years ago
14

The Chesapeake Bay tides vary between 4 feet and 6 feet. The tide is at its lowest point when time (t) is 0 and completes a full

cycle in 12 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon?
Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Step-by-step explanation:

The midline is the average of the lowest point and the highest point.

y = (4 + 6) / 2

y = 5

The amplitude is the distance from the midline to the lowest/highest point:

a = 5 − 4 = 1, or a = 6 − 5 = 1

It's also half the distance between the lowest point and the highest point:

a = (6 − 4) / 2

a = 1

The period is the time it takes to complete a full cycle, so the period is 12 hours.

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Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in
Thepotemich [5.8K]

Answer:

34 mph.    

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.  

Now we will use formula \text{Speed}=\frac{\text{Distance}}{\text{Time}}. Upon using our given information we will get two equation and two unknowns as:  

x+16=\frac{420-y}{5}...(1)

x=\frac{y}{5}...(2)

Upon substituting x=\frac{y}{5} in 1st equation we will get,

\frac{y}{5}+16=\frac{420-y}{5}

Upon multiplying both sides of our equation by 5 we will get,

5(\frac{y}{5}+16)=420-y

5\times\frac{y}{5}+5\times 16=420-y    

y+80=420-y

y+80+y=420-y+y

2y+80=420

2y=420-80

2y=340

y=\frac{340}{2}  

y=170      

Upon substituting y=170 in 2nd equation we will get,

x=\frac{170}{5}

x=34

Therefore, Charlene's speed is 34 miles per hour.


6 0
3 years ago
Pls look at the picture
-Dominant- [34]

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The area of a square is the square of the side length, as shown in the given table.

The area of a circle is pi (π) times the square of the radius. For a radius that is the same as the side length of a square, the circle will have an area π times as large.

For an input of 3, the square area function outputs 9.

For an input of 3, the circle area function outputs 9π, about 28.3.

3 0
2 years ago
Solve the following system of equations by using the inverse of a matrix.
Zepler [3.9K]

Answer:

(x, y, z) = (-8,4,-2)

Step-by-step explanation:

.......................................

6 0
3 years ago
Find f(-3) if f(x) = x2<br> -9<br> -6<br> 6<br> 9
Alex787 [66]
-6
This is because when you multiply -3 by 2 you get -6
5 0
3 years ago
Question 1 OT TU
Llana [10]
The answer is c
Have a good day !!!!!
3 0
2 years ago
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