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:
c
Step-by-step explanation:
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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Related Questions
How do you do this question?
Answers
Answer:
7
Step-by-step explanation:
1 / ((n + 1) + 2)³ ≤ 0.001
1 / (n + 3)³ ≤ 0.001
(n + 3)³ ≥ 1000
n + 3 ≥ 10
n ≥ 7
10) Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles
per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane?
Complete the table, and then write an equation to solve.
Hint: Distance equals rate times time. (d = rt)
Rate Time Distance
Answers
Answer:
Is this from VLA in ohio? Which school do you go to?
in the diagram to the left, if m∠aed=152° , find each angle measure
Answers
Answer:
Step-by-step explanation:
1). ∠1 and ∠2 are supplementary.
m∠1 + m∠2 = 180°
2). ∠1 and ∠2 are complementary angles.
m∠1 + m∠2 = 90°
3). If ∠1 and ∠2 are vertical angles,
m∠1 = m∠2 = 64°
4). ∠Q and ∠R are complementary angles.
m∠Q + m∠R = 90°
If m∠R = 73°,
m∠Q + 73° = 90°
m∠Q = 90° - 73°= 17°
5). m∠AED = 135°
a). Since, ∠AED and ∠AEC are supplementary angles,
m∠AED + m∠AEC = 180°
m∠AED = 152°
152° + m∠AEC = 180°
m∠AEC = 180° - 152° = 28°
b). m∠CEB + m∠AEC = 180°
28° + m∠CEB = 180°
m∠CEB = 180° - 28° = 152°
c). m∠FEC = m∠FEA + m∠AEC
= 90° + 28°
= 118°
Answer:
Step-by-step explanation:
A
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clothing that costs $180? (3 points)
Answers
Answer:
10.80
Step-by-step explanation:
Sales price x sales tax rate = sales tax
180 x .06 (6%) = 10.80
The amount of sales tax for the clothing that costs $180 is $10.8.
Given that,
Cost of a clothing = $180
We have to find the sales tax amount.
Sales tax is calculated as a percentage of the sales price.
Here,
Sales tax percentage = 6%
In order to find the actual sales tax amount, we have to multiply the cost with the percentage of sales tax.
Sales tax amount = 6% of 180
= (6/100) 180
= 0.6 × 18
= 10.8
Hence the sales tax amount is $10.8.
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Find all numbers whose absolute value is 9.
If there is more than one, separate them with commas.
If there are no such numbers, click on "None".
Answers
Answer:
|-9|,|9|
Step-by-step explanation:
Because all absolute values are positive, the only numbers that apply to your questionare 9 and |-9|
if a cookie jar has 24 cookies how many cookies are left in the jar after eating some.How many cookies are in the jar after you have eaten 9 cookies?How many cookies are in the jar after you have eaten 9 and then eaten 3 more
Answers
Answer:
15&12
Step-by-step explanation:
24-9=15
15-3=12
Answer
if there is 24 cookies in the jar and 9 cookies are eaten 15 cookies will left and if 3 cookies are also eaten so 12 cookies will left.
Step-by-step explanation:
What is -2/5 times 5/9?
Answers
Answer:
[tex]-\frac{2}{9}[/tex]
3/4 5/6 16/25 9/15 smallest to largest
Answers
Answer:
All you need to do is find a common denomianatorand then solve from least to greatest hope this helps!
Step-by-step explanation:
To arrange thse fractions from smallest to greatest let us first change them into a fraction with a common denominator . Which means ;
= 3/4 = 225/300
= 5/6 = 250/300
= 16/25 = 192/300
= 9/15 = 180/300
Therefore , these fractions arranged from the smallest to the largest are :-
9/15 , 16/25 , 3/4 , 5/6 .A plane intersecting a double-napped cone is perpendicular to the central axis. Which conic section is formed?
Answers
Answer:
circle
Step-by-step explanation:
lol where teh f parabola come from
if it's perpendicular it makes a 90 degree angle to the central axis
that would make it a circle...
parabolas r when the plane forms the same angle w the central axis as the generator..............................
A conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to the central axis is a: A. circle.
What is a circle?A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, it refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
In Geometry, a circle is a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to the central axis because it forms an angle of 90° with the central axis.
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Pls help.
5.2 Determine the Base from a Portion
a. The grocery store makes a 20% profit on baked goods. The profit for
baked goods last month was $600. What was the total sales for baked
good last month?
Answers
3000 multiplied by .2 equals 600
What number is 10 times greater than 12,052
Answers
Answer:
120,520
Step-by-step explanation:
Answer:
120520
Step-by-step explanation:
because 12052*10
Is 2.72135 rational or irrational
Answers
Answer:
rational
Step-by-step explanation:
since 2.72135 is finite (has an ending), it can be written as a fraction, meaning it is rational.
Answer:
Rational
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
4 Mr Franklin paid 145.76 for 0 gallons or
gas What is the price of 1 gallon of gas?
A $5.00
$5 16
B 06 07
D$5.05
Answers
Answer:
That doesn't make sense
Step-by-step explanation:
Maria finds a shirt on the clearance rack. It's original price was $75, but now it only costs $15. Find the percent of
change.
Answers
Answer:
80 percent off
Step-by-step explanation:
First find the difference in cost (75-15=60)
then divide the difference by the original price 60/75=.8
Rewrite 1/5 barrel 1/2hour as a unit rate
Answers
Answer:5/8
Step-by-step explanation:i took the exam
sylvia has three grandsons. carl is the youngest and is three years younger than ethan. scott is one year older than ethan. two years ago scotts age was twice the difference of ethan and carls age. how old are all three boys now?
Answers
Answer:
Carl is 4 year old
Scott is 8 year old
Etan is 7 year old
Step-by-step explanation:
Mark Brainliest Plz
How do you do this question?
Answers
Answer:
∫₁⁵ 2t (t² + t³) dt
Step-by-step explanation:
The area is ∫ₓ₁ˣ² y dx. To parameterize, replace x₁ and x₂ with t₁ and t₂. Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.
x = 5 + t², so dx = 2t dt.
∫₁⁵ (t² + t³) (2t dt)
∫₁⁵ 2t (t² + t³) dt
PLEASE PLEASE HELP FAST!!! I WILL GIVE YOU BRAINLIEST!
Solve.
2x + 4 3
B) x 1/3
D) x < 1/3
Answers
Answer: 2x + 43 is already solved and so is x 1/3 and x < 1/3
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation:
PLEASEEEE HELP ME RIGHT NOW
Answers
Which of the following described (5+5) in the expression above?
Answers
Answer:
10
Step-by-step explanation:
its 5+5
Find the equation of the line specified. The line passes through the points ( 2, 1) and ( 5, 4) a. y = x + 1 c. y = x - 1 b. y = -x - 1 d. y = x + 3
Answers
Answer:
b
Step-by-step explanation:
Answer: c) y = x-1
Step-by-step explanation: took test on edge
Bonnie bought a 13-pound turkey for $11.05. How much money di she pay for each pound of turkey?
Answers
Answer:way too much because chicken like turkey
Step-by-step explanation:turky is juste sleepyi chimken
Write the equation of the line with a slope of 3/4 and a y-intercept of -7 in slope - intercept and point -slope form.
Answers
slope intercept:
y=3/4x-7
point slope form:
I used the y intercept (0,-7) as a point to plug into point slope form.
y+7=3/4(x-0)
The linear equation of the line is y = 3/4x - 7 and y + 7 = 3/4(x - 0)
How to determine the line equation?The slope is given as:
m = 3/4
The y-intercept is given as:
c = -7
A linear equation in slope intercept form is represented as:
y = mx + c
So, we have:
y = 3/4x - 7
The equation in point slope form is calculated as follows:
y = 3/4x - 7
Add 7 to both sides
y + 7 = 3/4x
Express 3/4x as 3/4(x)
y + 7 = 3/4(x)
Subtract 0 from x
y + 7 = 3/4(x - 0)
Hence, the linear equation of the line is y = 3/4x - 7 and y + 7 = 3/4(x - 0)
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Let p: x = 4
Let q: y=-2
Which represents "lf x = 4, then y = -2"?
Opvg
орла
Op-9
O p +9
Answers
[tex]p\longrightarrow q[/tex].
Hope this helps.
If p (x=4) then q (y=-2), the conditional statement is "p → q".
The correct option is C.
What is a conditional statement?A conditional statement is a sentence with the syntax "If p, then q." Here, the letters "p" stands for "hypothesis" and "q" for "conclusion."
The statement "If x = 4, then y = -2" can be written as a conditional statement, where the hypothesis is "x = 4" and the conclusion is "y = -2".
The symbol for a conditional statement is "→".
Therefore, the answer is "p → q", which reads as "If p (x = 4) then q (y = -2)".
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What is the product?
4
3x
5
The product written as an improper fraction is
2
The product written as a mixed number is 2
Answers
Answer:
The product written as an improper fraction is:
12
5 or 12/5
Step-by-step explanation:
4 x 3 = 12
5 5
Answer:
12/5
Step-by-step explanation:
Maria studied the traffic trends in India. She found that the number of cars on the road increases by 10% each year. If there were 80 million cars in year 1 of her study, how many more cars were on the road in year 3 compared to year 2?
8,000,000
8,800,000
88,000,000
96,800,000
Answers
Answer:
96,800,000
Step-by-step explanation:
10/100 × 80million = 88,000,000
10/100 ×88million = 96,800,000
Answer:
(96,800,000)
Step-by-step explanation:
An example of multistage samples
Answers
Answer:
Multistage sampling divides large populations into stages to make the sampling process more practical.
Step-by-step explanation:
Let’s say you wanted to find out which subjects U.S. school children preferred. A population list a list of all U.S. school children would be nearimpossible to come by, so you cannot take a sample of the population.
An example of multistage samples is the Gallup poll.
What is the multistage sample?In this, we have to drawn the sample that should arise from the population that used the smaller and smaller group at every stage. It is applied for collecting the data from the large, and the group of people in national surveys.
The Gallup poll used multistage sampling. Like it randomly select a particular no of area codes after this randomly sample a no of phone numbers from within each area code.
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how to convert meters to centimeters
2m =cm
Answers
Answer:
Multiply by 100
2m=200 cm
Step-by-step explanation:
On Friday, the temperature changes -3celsius each hour. If the temperature changed for 7 hours, what is the total temperature change?
Answers
Answer:
-21 degrees
Step-by-step explanation:
Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon would then have twice as much as Kande. How much does each one actually have?
Answers
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
Simon has more money than KandeS > K
if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
While if Kande gave Simon $22, Simon would then have twice as much as Kande;if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
S - 20 = K + 20 ---- i
S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii
So, S - 20 = K + 20
S + 22 = 2K - 44
subtract both equations;
-20 - 22 = (k -2k) + 64
-42 = -k + 64
k = 106
Using equation i, let us find S;
S - 20 = K + 20
S - 20 = 106 + 20
S = 106 + 20 + 20 = 146
Therefore, Kande has $106 and Simon has $146