The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.

A 2-column table with 5 rows. Column 1 is labeled x with entries 12 a m, 3 a m, 6 a m, 9 a m, 12 p m. Column 2 is labeled y with entries 6, 10, 6, 2, 6.

Which equation models the data in the table?

y = 6 sine (StartFraction pi Over 6 EndFraction x) + 2
y = 6 sine (StartFraction pi Over 6 EndFraction x) + 4
y = 4 sine (StartFraction pi Over 6 EndFraction x) + 6
y = 4 sine (StartFraction pi Over 6 EndFraction x) + 10

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

Modeling the data in the table is done via the equation y = 4 sine (pi/6x) + 6.

What is a cyclic pattern?

Over a period of years, a cyclical pattern recurs with considerable regularity. Cyclical patterns are distinct from seasonal patterns in that they last across a number of years as opposed to only one year for seasonal trends.

Given, The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.

Table:

12 AM                      6  

3 AM                        10

6 AM                        6  

9 AM                        2  

12 PM                       6  

from the general formula of wave

y = A sin(bx + c)

Substituting values in the equation from the graph attached below:

6 = A sin(0*b + c)......(1)

10 = A sin3b + c...(2)

6 = A sin6b + c......(3)

2 = A sin9b +c........(4)

Since -c/b is a phase shift of the graph

Thus

-c/b = 6

c = -6b

from equations 2 and 1

2* 6 = Asin(-3b) = -Asin3b

2 * 6 = Asin(-6b) = -Asin6b

2* 6/6 =sin6b/sin3b

1 = Cos3b

Thus b = π/6

from substitution in equations 3

6 = A sin6b + c

=> 6 = Asin 6* pi/6  + c

=> c = 6

[tex]\begin{table}[]\begin{tabular}{ll}12 AM & 6 \\3 AM & 10 \\6 AM & 6 \\9 AM & 2 \\12 PM & 6 \end{tabular}\end{table}[/tex]from substitution in equations 2

10 = A sin3b + c

A = 4

therefore, The equation that models data in the table is y = 4 sine (pi/6x) + 6.

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The Table Shows The Height Of Water In Feet At Different Times. The Water Rises And Falls In A Cyclical

Related Questions

q=you+have+50+blueberries+and+75+scone.+You+want+to+make+as+many+identtical+bags+as+possible.+Each+bag+should+have+an+equal+number+of+blueberry+scones+and+an+equal+number+of+cranberry+scones.+What+is+the+greatest+number+of+bags+you+can+fill&cvid=1ea9df65fe52425e9572dfee62446327&pglt=43&FORM=ANNTA1&PC=DCTS

Answers

Answer:

uhmmmmm... i no understand...

Step-by-step explanation:

Answer:

25 baggies; each bag has 2 blueberry scones, and three cranberry scones.

Step-by-step explanation:

The question format is a bit bugged, but I assume the question is asking "You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. What is he greatest number of bags you can fill?"

The first thing to realize when solving this question is that whatever the answer is equal to, it must be able to be equally divided from both 50 and 75, otherwise it will have a remainder, and at least one bag will have too many or not enough scones.

This means that the answer must be a factor of both 50 and 75.

The factors of 50 includes {1, 2, 5, 10, 25, 50}

The factors of 75 includes {1, 3, 5, 15, 25, 75}

In the two sets, only 1, 5, and 25 are common factors. Of the three factors, 25 is the greatest number, and thus the greatest number of bags that can you can fill.

HELP ANSWER AS FAST AS U CAN
Acceptance into an acting workshop is highly competitive. Last year only 2 out of every 15 applicants were accepted into the workshop. This year the work shop accepted 40 out of 600 possible applicants.

Compare this years acceptance rates to that of last years rate. Is this years acceptable rate higher or lower or equal to last year’s acceptance rate? Explain your reasoning.

Answers

Answer:

is this a test

Step-by-step explanation:

kshsjwoo2o1k1 snsn

2. Given 3,989, 825;
round to the nearest
ten thousand, hundreds, and thousands

Answers

Answer:

then thousand -3,990,000

hundred -3,989,800

thousands-3,990,000

hope this helped :)

Your firm needs $630 for one quarter to finance a deficit. Interest charges are 2% per quarter. Your bank
requires a 10% compensating balance. How much must your firm borrow in order to obtain the needed funds?
$700.00
$705.00
O $693.00
$715.91

Answers

The answer is $700


Hope this helps

Please help been stuck on this for a hour

Answers

Answer:

1 mile every 57 seconds I belive

Step-by-step explanation:

Find the common ratio of the geometric sequence –5,–30, -180,...

Answers

Answer:

6

Step-by-step explanation:

You have to find what to multiply by to get to the next term

-30 ÷ -5 = 6

- 180 ÷ -30 = 6

therfore the common ratio is 6

How many times greater was the temperature in Miami (45) than the lowest in San Diego (25)

Answers

Answer:

The temperature in Miami is 9/5 times the temperature in San Diego.

Step-by-step explanation:

Ratios

To compare the temperature in Miami (45) with the temperature in San Diego (25), we use the division or ratio between both numbers:

[tex]\displaystyle \frac{45}{25}[/tex]

Simplify the fraction dividing by 5:

[tex]\displaystyle \frac{9}{5}[/tex]

Since the relation between them is 9/5, it means the temperature in Miami is 9/5 times the temperature in San Diego.

!!! PLEASE ANSWER NOW!!!
A square has side length 4 cm. What is its area?

Answers

Answer:

16 cm

Step-by-step explanation:

4 × 4 = 16 cm

I hope this helps!

Answer:

16cm

Step-by-step explanation:

To find area of a square, multiply a side by itself.

4 x 4 = 16

You need a 15% alcohol solution. On hand, you have a 180 mL of a 45% alcohol mixture. How much pure
water will you need to add to obtain the desired solution?
You will need
mL of pure water
to obtain
mL of the desired 15% solution.
Submit Question

Answers

Let x be the amount of pure water that you use.

The solution you have contains 0.45 • 180 mL = 81 mL of alcohol.

However much water you use, it won't add any alcohol to the solution, so only its total volume changes. Its new volume would be (180 + x) mL. You want the new solution to have a concentration of 15% so that

(81 mL) / ((180 + x) mL) = 0.15

Solve for x :

81 / (180 + x) = 0.15

81 / 0.15 = 180 + x

540 = 180 + x

x = 360

Then the new solution will have a total volume of 180 mL + 360 mL = 540 mL.

So you need to use 360 mL of pure water to get 540 mL of 15% solution.

How do I solve -0.4r=16?

Answers

Answer:

r = -40

Step-by-step explanation:

1. Move constants to the other side of the equation

r = 16/-.04

2. Simplify (by calculator)

You can use a calculator and plug in 16/-.04

r = -40

2. Simplify (by fraction)

You can turn -.4 into a fraction.

-.04 = - 4/10

r = 16/-(4/10)

r = 16*10/-4

r = -40

Solutions to 39=4-7v

Answers

v = -5 because you subtract 4 from both sides then divide both sides by -7 and you get -5

Answer:

v=-5

Step-by-step explanation:

39=4 -7v

39-4= (4-4) -7v

35=-7v

35/-7= -7v/-7

-5=v

a faucet is leaking at a constant rate of 6/10 of a gallon of water in 3/4 of an hour. how much water leaks in 1 hour?

Answers

Answer:

0.8

Step-by-step explanation:

6/10=0.6

0.6/3=0.2

0.2*4=0.8

I hope it's correct

Let p = log10 x, q = log10 y, and r = log10 z. (The 10s are base numbers.)
Write the expression log10 (x / y^2 √z) in terms of p, q, and r.

Please show work! I have the answer ( p- (2q + 1/2 r) ), but I need to show my work.

Answers

Answer:

(p / q^2 √r)

Just make x, y, z into p, q, r.

Very simple!

Which values will complete the table.
A
B
C

Answers

Answer:

A=8

b=15

c=40

Step-by-step explanation:

5/8 as well as 10/16 = .625

a=8 blocks for 5 min given in question

b:24*0.625=15

c:25*40=.625 or 8 * 5=40 , since 5×5=25 taking 1st column times 5

50 POINTS!!! PLEASE HELPPPPP
Plot 1 2/5, −1/2, and −2 1/10 on the number line.

Answers

Answer:

the answer is -1 1/5

Step-by-step explanation: 7/5

Answer:

-1 1/5

Step-by-step explanation:

The pH of a solution is measured eight times by one operator using the same instrument. She obtains the following data: 7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, and 7.18. (a) Calculate the sample mean. Round your answer to 3 decimal places. (b) Calculate the sample variance. Round your answer to 6 decimal places. (c) Calculate the sample standard deviation. Round your answer to 3 decimal places. (d) Which of the following are potential major sources of variability in the experiment

Answers

Answer:

(a)7.185

(b)0.000371

(c) 0.019

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

We are given the following sample data.

7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.

(a) Calculate the sample mean. Round your answer to 3 decimal places.

The formula for sample mean =

Sum of terms/Number of terms

= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

= 7.185

(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

what is an equation of the line that passes through the point (8,2) and is parallel to the line 5x-4y=36

Answers

Answer:

y=5/4x-8

Step-by-step explanation:

put ito slope intercept form and then using the slope put y intercept in order for it to be true

The required equation of line will be y = 1.25x - 8.

It is given that a line passes through a point (8,2) and is parallel to the line 5x - 4y= 36.

We have to find out the equation of the line.

What is the general equation of a line ?

The equation of a line is y = mx + c , where m = slope of line.

As per the question ;

The line is parallel to another line 5x -4y = 36.

5x - 4y = 36

4y = 5x - 36

diving by 4 on both sides ;

y = (5/4)x - (36/4)

y = 1.25x - 9

After comparing with the general equation of a line y = mx + c. We found that value of slope m = 1.25.

So,  the parallel line will have the same slope.

y = 1.25 x + c

As the line passes through point (8,2) , hence x = 8 and y =2. After putting this value in the above equation we get ,

2 = 1.25 × 8 + c

∴ c = 2 - 10 = - 8

c = - 8

And the final equation of the line will be ,

y = 1.25 x - 8.

Thus , the required equation of line will be y = 1.25x - 8.

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Jill made 20 muffins.she put them into 3 boxes and has two muffins left . How many are in each box if they contain the same amount of muffin

Answers

Answer:

6 muffins

she can fit 6 into each box because 20 divided by 3 is eighteen with a remainder of 3. 18 goes into 3 6 times.

A right triangle has hypotenuse with length 8 inches. If one leg is 5 inches long, how long is the other leg?

Answers

Using Pythagoras theorem,

[tex]\sf a^2 + b^2 = c^2[/tex]

Where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the two legs of the triangle, and [tex]\sf c[/tex] is the Hypotenuse.

Putting the given values:

[tex]\sf 5^2 + b^2 = 8^2 \\ \longrightarrow \sf b^2 = 64 - 25 \\ \longrightarrow \sf b^2 = 39 \\ \longrightarrow \sf b = \sqrt{39}\:\:inches[/tex]

Hence, the length of the other leg is,

[tex]\leadsto \underline{\boxed{\mathfrak{\pink{\sqrt{39}\:\:inches}}}}[/tex]

Subtract.
3.5 – (-6.5)


how can i show my work ?

Answers

The answer above is correct my dude

Which value of n makes this equation true?
3n + 3
5
5n– 1
9
OA.
n=-16
OB.
n=-2
O C.
n= 2
OD.
n = 16

Answers

Answer:

the answer is A. -16

Step-by-step explanation:

3(-16)+3= -45

-45/5=

-9

5(-16)-1=-81

-81/9=

-9

-9=-9

1/2x plus 12 = 8x Please help me!

Answers

Answer:

8/5=x

Step-by-step explanation:

1/2x+12=8x

Subtract 1/2x from both sides

12=15/2x

Multiply 2/15 on both sides

8/5=x

whats is the 39th triangular number

Answers

Answer:

The 39th triangle number is 780

What is a solution of 3(x + 4) - x > 4?
A. -6
B. -5
C. -4
D. -3
(Please help I don’t understand)

Answers

Answer: -4 Please mark brainliest if I am right :D

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x+4)−x>4

Step 1: Simplify both sides of the inequality.

2x+12>4

Step 2: Subtract 12 from both sides.

2x+12−12>4−12

2x>−8

Step 3: Divide both sides by 2.

2x/2 > -8/2

x>−4

Answer:

x>−4

Answer:

C.-4

Step-by-step explanation:

3(x)+3(4)-x>4

3x+12-x>4

2x>-8

2x/2>-8/2

x>-4

Jamie has a sprinkler than covers a circular area with diameter 16 feet. What is the area of lawn that the
sprinkler covers?

Answers

Answer:

64π or 201.0619298297

Step-by-step explanation:

Area of a circle: πr²

To find r, the radius of the circle, take the diameter (16) and halve it to get 8. You can now place 8 into the equation to get π8². Square 8 to get 64. You now now have π64, or 201.0619298297.

I’m confused can someone help?!

Answers

Answer:

C: up two over 1

Tim read 70% of his book containing 230 pages how many pages does he have left

Answers

Hello!

Considering the whole book as 100%, there’s 30% left.

Then, 30% of 230 = 0,3*230 = 69 pages.

Hope you’re all right! Stay safe!

69 Pages are left to read by Tim.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total pages= 230

Percentage of reading = 70%

So, number of Pages Tim reads

= 70 /100 x 230

= 161 pages

Hence, number of pages left = 230- 161 = 69 pages

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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is fifteen more than the second. Find the measures of the three angles.

Answers

29jsfsouodpolfkldsfmdsfsdfdssfsdfsadfsd I GOT THE ANSWER IT IS 5

Answer:x=45 y=60 x=75

Step-by-step explanation:

The area of a square porch is 81 square feet. Find the dimensions of the porch.


Answers

Answer:

9 feet

Step-by-step explanation:

Square root 81 as all the sides of the porch are the same length

The 24 students in Mr. Brown's homeroom sold 72 magazine subscriptions. The 28 students in Mrs. Garcia's homeroom sold 98 magazine subscriptions. Whose homeroom sold more magazine subscriptions per student? Be sure to include examples as you explain your reasoning. *

Answers

Answer:

see below

Step-by-step explanation:

Mr. Brown

72 magazines/ 24 students = 3 magazines per student

Mrs. Garcia

98 magazines/ 28 students = 3.5 magazines per student

Mrs. Garcia sold more per student

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