A cosine function is simpler to model the situation of the changing tides because it starts at an extremum, aligning with the low tide occurring at t=0 (12:00 am). By calculating the amplitude, midline, and period, we can construct an approximate model for the tidal heights using a cosine function without a phase shift.
The phenomenon of tidal movements can be modeled through periodic functions, such as sine or cosine functions, which are suitable for representing recurring events over time.
In this scenario, since the low tide occurs at t=0 (12:00 am) and reaches the same low tide level at t=12.5 (12:30 pm), a cosine function would be more appropriate as it inherently starts at a maximum or minimum value.
On the other hand, a sine function starts from the middle of its range, making it necessary to introduce a phase shift in the function for accurate modeling of the tides in this case.
A simple cosine model for the tidal heights would look like: Depth(t) = A * cos(B * (t - C)) + D, where A represents the amplitude, B is related to the period of the tide cycle, C is the phase shift (in this model C would be zero), and D adjusts the midline to fit the average between high and low tides.
Considering the given data:
Amplitude (A): (High tide depth - Low tide depth) / 2 = (5.5m - 2.5m) / 2 = 1.5m
Midline (D): (High tide depth + Low tide depth) / 2 = (5.5m + 2.5m) / 2 = 4m
Period (Related to B): Since there are two high and two low tides every 24 hours, the period would be 12 hours. We would then find B by using the formula 2 * pi / period, yielding B = 2 * pi / 12.
So, the model would be approximately Depth(t) = 1.5 * cos((pi / 6) * t) + 4, accurately reflecting the transition from low to high tides and back over a 12-hour cycle.
Answer:
A cosine function would be a simpler model for the situation.
The minimum depth (low tide) occurs at t = 0. A reflection of the cosine curve also has a minimum at t = 0.
A sine model would require a phase shift, while a cosine model does not.
Can somebody help me with this question
Answer: [tex]p=38\°[/tex]
Step-by-step explanation:
By definition, you know that:
[tex](p+29\°)+(7p+27\°)=360\°[/tex]
Therefore, keeping this on mind, you can find the value of p, as following.
- Add the like terms:
[tex]p+29\°+7p+27\°=360\°\\8p+56\°=360\°[/tex]
- Subtract 56° from both sides of the equation and then divide both sides of thte equation by 8.
Therefore, you obtain that the value of p is:
[tex]8p+56\°-56\°=360\°-56\°\\8p=304\\\\\frac{8p}{8}=\frac{304\°}{8}\\p=38\°[/tex]
Which of the following are congruent angles?
A.
Y E
B.
H G
C.
X E
D.
W E
Answer: I would say Y E because thats the only one that makes sense.
Step-by-step explanation:
The day after a national holiday, decoration were marked down 40%. Before the holiday, a patriotic banner cost $5.75. Hiw much did the banner cost after the holiday
Answer:14.375
Step-by-step explanation divide it
The life expectancy of a certain tire is a normal distribution with the mean = 40,000 miles, standard deviation is 1,000 miles. Find the probability that a tire will last more than 39,000 miles.
Answer:
[tex]P = 84\%[/tex]
Step-by-step explanation:
The average is:
[tex]\mu = 40,000\ miles[/tex]
The standard deviation is:
[tex]\sigma = 1,000\ miles[/tex]
We want the probability that a tire lasts more than 39,000 miles.
This is:
[tex]P (X>39,000)[/tex]
Now we must transform these values to those of a standard normal distribution to facilitate calculation by using the probability tables.
[tex]P (X> 39,000)\\\\P (X-\mu> 39,000-40,000)\\\\P (\frac{X-\mu}{\sigma}> \frac{39,000 -40,000}{1,000})\\\\P (Z> -1)[/tex]
This is:
[tex]P(Z> -1) = P(Z<1)[/tex] ---------- (For the symmetry of the standard normal distribution)
When you search for the normal standard table, you get the following value:
[tex]P(Z <1) = 0.8413\\\\P(Z> -1) = 0.8413[/tex]
100xyz-75xy factor completely
the factored form is
-25xy(-4z+3)
What is the solution to the following system
C is the answer.............
Answer:
C. Is you answer
Step-by-step explanation:
What you have to do is you take the second equation and plug it into the y of the first equation to get
-2x^2+-3x^2+5=-5. You will then add the -2x^2 and the -3x^2 together to get
-5x^2+5=-5. You will then minus the 5 from both sides to get
-5x^2=-10. You will then divide the -5 from both sides to get
x^2=2. You will then square root it to get
x=sqrt2 and -sqrt2.
You will then plug the sqrt2 into the second equation into the x like this
y=-3(sqrt2)^2+5. and you answer wil be -1.
So C is your answer.
Which of the following xpressions is equivalent to -1/4 - 5/3? -1/4 + (-5/3) or - 1/4 + 5/3?
a calculator weighs 5 ounces. do 11 calculators weigh more than 4 pounds
Answer:
11 calculators do not weigh more than four pounds.
Step-by-step explanation:
Start off with the basic idea that 16 ounces = 1 pound.
1. Multiply the weight of one calculator by the number of calculators given
11 * 5 = 55 ounces
2. Divide 55 oz by 16 to get the number of pounds
55/16 = 3.4375 lbs.
3. 11 calculators weigh 3.4 pounds which is lower than 4 pounds
Hope this helped :)
Thanks for using Brainly!
Answer:
Yes
Step-by-step explanation:
So one calculator weighs 5 ounces. So if we have 11 we sould times 5 x 11 to equal 55. After, we calculate how many ounces 4 pounds is. If one ounce to a pound is 16 we do 16 x 4 that would equal 64. That is above 55 ounces.
Not what you're looking for? Reply to this question for help. If not, if you have time please hit the thanks. If you think this can help others you can always hit the Brainlist button, none of the things above are needed. :)
Take care, Eric
16 increased by twice a number is -56
Answer:
-3.5
Step-by-step explanation:
What is the area of the shaded region?
? mm2
Answer:
im not great at math but i believe the answer is 24mm^2
Step-by-step explanation:
triangle area formula- (B*H)/2
large triangle:
6+4+2=12
H=12
B=5
5*12=60
60/2=30
small trangle:
4*3=12
12/2=6
30-6=24
therefore answer should be 24mm^2
1) Jason flipped a penny many, many times to verify that it lands on heads half the time. He heard that if you apply a layer of clear coat to the tails side of a penny,it will land on heads more frequently. He decided to test this and coated the tails side of his penny. Jason flipped the coin 200 more times and it landed on heads 54.5% of the time. Do you think his trick worked? Use a 0.05
Answer:
yes theoretically it did work
Step-by-step explanation:
hypothetically it is supposed to land on each side half of the time, but as we all know it's a matter of luck. since after you put on the layer of coating and it landed on heads more thank half of the time (50%), it technically has worked but in a real world application it would be hard to tell/justify.
What is 99 X 9? Please help me!
Answer: 891
Step-by-step explanation
99x9=891
I believe The answer is 891!
Which of the following best explains why all goals cannot be met in economics
Answer: The short answer is that some goals are simply incompatible with each other, like the law in Colorado that raised the minimum wage. That's great for the employees, bad for the employers. Employers, like employees, want to make money and stay in business. The more money each employer has to pay their employees, the higher the prices for certain goods go for that business to stay open.
Step-by-step explanation:
4 qt = how many cups??
4 quartz equals 16 cups
Answer:
16
Step-by-step explanation:
since the ratio of qrt to cup is 1:4, we can calculate 4:x by doing 4*4
M angle r = 120 m angle s =110 find m angle t
For this equation I used the fact that S and U are congruent (because Line ur and rs are equal and lines UT and TS are equal. All the interior angles need to add to 360 degrees. U+R+S = 340 so T has to equal 20 degrees.
The polygon circumscribes the circle. What is the perimeter of the polygon?
Answer:
The perimeter of the polygon is [tex]66\ cm[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
If the polygon circumscribes the circle
then
AB=AH
GH=GF
EF=ED
CB=CD
therefore
the perimeter is equal to
[tex]P=2(9+12+4+8)=66\ cm[/tex]
Plz help me i need it
Answer: [tex]\bold{d)\quad \sqrt{6x^2-1}}[/tex]
Step-by-step explanation:
[tex]f(x)=\sqrt{2x-5}\qquad g(x)=3x^2+2\\\\\\f(g(x))=\sqrt{2(3x^2+2)-5}\\\\.\qquad \quad =\sqrt{6x^2+4-5}\\\\.\qquad \quad =\sqrt{6x^2-1}[/tex]
Decide if the situation involves a permutation... anyone?
Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are
[tex]4!=4\cdot3\cdot2\cdot1=24[/tex]
possible ways to do it.
A radioactive substance has a decay rate of 0.073 per minute. How many grams of a 120 gram sample will remain radioactive after 30 minutes? Round the answer to the nearest tenth of a gram, and do not include the unit in your answer.
Answer:
13.4 grams of a 120 gram sample will remain radioactive after 30 minutes.
Step-by-step explanation:
Given : A radioactive substance has a decay rate of 0.073 per minute.
To find : How many grams of a 120 gram sample will remain radioactive after 30 minutes?
Solution :
Using decaying formula,
[tex]y(t)=y_o e^{-rt}[/tex]
Where, [tex]y_o=120[/tex] is the initial amount
r=0.073 is the decay rate
t=30 minute is the time
Substitute the value in the formula,
[tex]y(30)=120\times e^{-0.073\times 30}[/tex]
[tex]y(30)=120\times e^{-2.19}[/tex]
[tex]y(30)=120\times 0.1119[/tex]
[tex]y(30)=13.428[/tex]
[tex]y(30)=13.4[/tex]
Therefore, 13.4 grams of a 120 gram sample will remain radioactive after 30 minutes.
Answer:
13.4
Step-by-step explanation:
Substitute the given values into the formula: A(t)=Pert. Where P is the initial mass, r is the rate of decay, and t is time. Note, the rate is negative because we are finding the rate of decay.
A=120e−(0.073)(30)≈13.4
So, about 13.4 grams will remain after 30 minutes.
Find a number that is square number and also a cube number
Answer:
64
Step-by-step explanation:
4 x 4 x 4 = 64
8 x 8 = 64
What is the solution to the system of equations?
y = –5x + 3
y = 1
Answer:
y = 1, x = 2/5 or (2/5, 1)
Step-by-step explanation:
Since you already know that y = 1, you can substitute 1 into the y of the other equation. So you end up with:
1 = -5x + 3
Then you solve this equation. First you subtract 3 from both sides and get:
-2 = -5x
Then you divide both sides by -5 and get:
2/5 = x
And you already know that y = 1 so your answer is:
x = 2/5, y = 1 or (2/5, 1)
Answer:
The answer is A
Step-by-step explanation:
Hope this helps got it right on the quiz
A wire of length 7x is bent into the shape of a square. Express the area A of the square as a function of z.
The length of the wire is bent into a square, making each side equal to 7x/4. The area of a square is found by squaring the length of one side, so the area, as a function of , is (7x/4)^2 or 49x^2/16.
Explanation:The given information is that the length of the wire is 7x, and it is bent into a square. In a square, all sides are equal. Therefore, we can say that the length of each side of the square is 7x/4.
To find the area of a square, we simply square the length of one side. Thus, the area A of the square, expressed as a function of x, is (7x/4)^2 or 49x^2/16.
Therefore, the question's answer is that the area A of the square can be expressed as the function 49x^2/16.
Learn more about the Area Function of a Square here:https://brainly.com/question/34342199
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Final answer:
To express the area A of a square in terms of z, assuming the wire length is 7z, calculate the side length a as 7z/4 and then square it to get A = (7z/4)². If x is correct and unrelated to z, more information is needed.
Explanation:
To express the area A of a square as a function of z, given that a wire of length 7x is bent into the shape of a square, we follow these steps:
The perimeter of the square is equal to the length of the wire, which is 7x.
Since the perimeter P of a square is 4 times one of its sides a, we can write P = 4a. Therefore, 7x = 4a.
To find the side length a, we divide 7x by 4: a = 7x/4.
The area A of a square is the square of one of its sides, so A = a². By substituting a with 7x/4, we get A = (7x/4)².
Finally, we need to write the equation in terms of z. Here, it seems there might be an issue with the question, as there is no direct relationship provided between x and z. Assuming there's a typographical error and that the wire length is actually 7z, we can write a = 7z/4 and A = (7z/4)².
If x is indeed correct and unrelated to z, more information is required to express A as a function of z.
what is the sum of four times n and 6 is 12
Answer:
2
Step-by-step explanation:
4n + 6 = 12
4n = 6
n = 3/2
4n + 6 = 12
subtract 6 on both sides
4n = 6
divide by 4 on both sides
n=3/2
Please help me!!! QUICK!!!
Extra points and brainliest will be given :)
See the attached picture:
Plz Helpppppp meeeeeeeee
Answer:
y=x^2
Step-by-step explanation:
That one doesn't make a straight line it makes a parabola.
Howdy. please help.
Answer: $253
Step-by-step explanation:
Answer:
The answer is 253.
Step-by-step explanation:
Please help !!!! Joe runs 8.25 times around a track in 1,119.803 seconds. If one lap around the track is 402.3 meters, which is the best estimate of the runner’s average speed in meters per second (m/s)?
Answer: The answer is 3m/s
Step-by-step explanation:
Answer: The runner’s average speed is 3 m/s.
Step-by-step explanation:
Hi, to solve this problem we have to multiply the length of the track (402.2 meters) by the times that joe ran around it (8.25 times).
So, mathematically speaking:
402.3m x 8.25 = 3,318.975 metersNow that we have this result, we have to divide it by the time ( 1,119.803 sec), to obtain the speed rate.
3,318.975 m/ 1,119.803 sec = 2.97m/sec= 3 m/sIn conclusion, the runner’s average speed is 3 m/s.
Feel free to ask for more if it´s necessary or if you did not understand something.
I need help with this
Answer:
1. 4x, -2y, and 3
2. x and y
3. is 3
4. x
5. Coefficient
6. exponent
7. y*2
8. x to the y
9. no
Step-by-step explanation:
may somebody help me
Mr. Gray's class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 5 are purple, 2 are yellow, 4 are green, and the rest are black, what is the probability of drawing a green and black if the marbles are not replaced after they are picked?
The probability of drawing a green followed by a black marble from a bag containing 25 marbles without replacement is found by multiplying the individual probabilities of each event. These are 4/25 for the green marble and 7/12 for the black marble after the first draw.
Explanation:The subject of this question is probability within the field of Mathematics, suitable for a High School level student. The probability of drawing a green and black marble without replacement is a two-step probability problem. Given that there are 5 purple, 2 yellow, 4 green, and the rest black out of 25 marbles, we first need to calculate the total number of black marbles, which is 25 - (5 + 2 + 4) = 14. The probability of drawing a green marble first is 4 out of 25, which simplifies to 4/25. After a green marble is drawn, there are now 24 marbles left in the bag, with 14 being black. Therefore, the probability of then drawing a black marble is 14/24 or 7/12. To find the combined probability of both events occurring sequentially, we multiply the individual probabilities: (4/25) * (7/12). This calculation will give us the final probability of drawing a green and then a black marble without replacement.