Answers
Answer: [tex]y = 3\sin\left(\frac{x}{3}\right)\right)+2\\\\[/tex]
This is the same as writing y = 3sin(x/3) + 2
=====================================================
Explanation:
The template for a sine function is
[tex]y = A\sin\left(B\left(x-C\right)\right)+D\\\\[/tex]
where,
A = deals with the amplitudeB = deals with the periodC = phase shiftD = midline---------------
The highest point is at y = 5 and lowest is at y = -1. This is a gap of 6 units, which cuts in half to 3. The amplitude is 3 meaning that A = 3.
---------------
One peak or highest point occurs when x = 3pi/2
The next peak over is at x = 15pi/2
This is a gap of (15pi/2) - (3pi/2) = 12pi/2 = 6pi units
The period is T = 6pi which leads to B = 2pi/T = 2pi/6pi = 1/3
In short, B = 1/3
---------------
We don't have to worry about the phase shift, so C = 0.
---------------
The midline is the average of the highest and lowest y values.
D = (5+(-1))/2 = 4/2 = 2
This means D = 2.
---------------
In the previous sections, we found the following
A = 3B = 1/3C = 0D = 2This means we go from
[tex]y = A\sin\left(B\left(x-C\right)\right)+D\\\\[/tex]
to
[tex]y = 3\sin\left(\frac{1}{3}\left(x-0\right)\right)+2\\\\y = 3\sin\left(\frac{x}{3}\right)\right)+2\\\\[/tex]
which is the final answer.
---------------
Extra info:
If you wanted, you could use a cosine function. This is because any cosine function is a phase shift of a sine function. But that greatly complicates things and sine is better suited here.
Related Questions
The table shows the prices for Two packs of batteries which park is better buy explain your reasoning
Answers
Answer:
A=0.61:1 B=0.65
Step-by-step explanation:
B is the better deal.
Guys helpp!
Choose the first step to Graph The equation Y equals 3x +2
Answers
Im having a rough day so just please dont put links or files..
Answers
Answer:
The answer is 9
Step-by-step explanation:
I hope you have a better day! ;)
Answer:
9
Step-by-step explanation:
Because 3^2 is 3*3
that gives you 9
A pen costs twice as much as a pencil. If 7 pens and 12 pencils cost $6.50, find the cost of a pencil.
I know the answer (pencil $0.25, pen $0.5), but I need to figure out how the answer is solved.
Answers
1. Observe the problem
2. Make a system of linear equations
x is pens
y is pencil
As stated in the text, x=2y
x=2y
7x+12y=6.50
Using substitution,
7(2y)+12y=6.50
14y+12y=6.50
26y=6.50
y=0.25
Substituting it back into the first equation:
x=2(0.25)
x=0.5y=0.25Find the values of x and
and y
Answers
Answer:
y is 90 and x is 180
Step-by-step explanation:
hope this helps srry if its wrong ;-;
Simplify 5x + 2x + 7x.
(14 x) 3
14 x
14 x 3
Answers
Solution:
Combine like terms and solve the expression.
=> 5x + 2x + 7x=> x(5 + 2 + 7)=> x(14)=> 14xThe solution to the problem is 14x.
Answer:
14x
Step-by-step explanation:
5x + 2x + 7x ← factor out x from each term
= x(5 + 2 + 7)
= 14x
what’s the answer to this problem?
Answers
Hey there!
2^5 /6^5
2^5
= 2 * 2 * 2 * 2 * 2
= 4 * 4 * 2
= 16 * 2
= 32
6^5
= 6 * 6 * 6 * 6 * 6
= 36 * 36 * 6
= 1,296 * 6
= 7,776
= 32 / 7,776
= 32 ÷ 32 / 7,776 ÷ 32
= 1 / 243
≈ 2^5 × 6^-5
Therefore, your answer is: 2^5 × 6^-5
(Option D.)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE HELP W THIS WILL GIVE BRAINLIST TO BEST ANSWER AND EXTRA POINTS
!!!!!ONLY A!!!!
Answers
Answer: 1545
Step-by-step explanation: not 100 but i hope this helps you :D
Solve. This for me I need help!
Answers
Answer:
D) 53°
Step-by-step explanation:
Angles AEB and BEC are supplementary.
This means they add up to 180°.x + 127 = 180Step 1: Subtract 127 from both sides.
[tex]x+127-127=180-127[/tex]x + 127 - 127 = 180 - 127x = 53Therefore, the answer is 53°.[tex]x+127-127=180-127[/tex]
What is the value of the missing angle?
Answers
Answer: 60 degrees
Step-by-step explanation:
Angle sum of a triangle: 180 degrees
70+50=120
180-120=60
Straight line: 180 degrees
180-60=60 degrees
Answer:
120
Step-by-step explanation:
Add all the inner angles, 70+50=120. 180-120 = 60. The angle is a supplementary angle, so 180-60 = 120.
AlMarai, a beverage company is planning to change its juice package size. Currently, there are 9 ounces of juice in each package. The new package will contain 14 ounces. What percent more juices will be in the new package
Answers
The percentage of more juices that will be in the new package is 35.71%
What are word problems?Word problems in mathematics are things happening in our daily life and we can use mathematical concepts and arithmetic operations to put a solution to those things.
From the given information, it was stated that:
Almarai usually have 9 ounces of juice in each package, whileTheir new package will contain 14 ounces.Our objective is to find the percentage of more juice that will be in the new package.
The percentage of more juice in the new package will be:
[tex]\mathbf{=\dfrac{14 - 9}{14} \times 100 \%}[/tex]
[tex]\mathbf{=\dfrac{5}{14} \times 100 \%}[/tex]
= 35.71%
Learn more about word problems here:
https://brainly.com/question/21405634
Which are perfect squares? Check all that apply.
•72
•36
•8
•16
•81
•64
•48
Answers
Answer:
64, 16, 36, 81Step-by-step explanation:
[tex]\sqrt{16} = 4[/tex][tex]\sqrt{36} = 6[/tex] [tex]\sqrt{64} = 8[/tex][tex]\sqrt{81} = 9[/tex]Answer:
Step-by-step explanation:
.36 = .6^2
.16 = .4^2
.81 = .9^2
.64 = .8^2
Jan has ridden 357 miles of the Tour de France bicycle race and is 17% finished with the race.
Answers
Answer: 2100
Step-by-step explanation:
Portional
Answer:
2099.88 Rounded: 2100
Step-by-step explanation:
100/17 = 5.88
337 X 5.88 = 2099.88
Rounded: 2100
Have a good day!
2p^1/3=6 find the value pf p
Answers
Answer:
27
Step-by-step explanation:
Fill in the table using this function rule.
y = 25 – 4x
Answers
To fill the table for the function we consider all values of x subbed in to the equation
y = 25 – 4x
Filling a graph table
Generally, To fill a graph table with an equation we are usually give the independent factor in this case is the values of x
Therefore, to fill the table for the function we consider all values of x subbed in to the equation
y = 25 – 4x
For more information on Graph
https://brainly.com/question/14375099
Can u help me plssss?
Answers
Answer:
You need to find the area of this shape. You will split the shape into 2 the big rectangle and the small one sticking out of the bottom.
For the first shape, it is 11 x 3 = 33
For the second one, it is 2 x 3 = 6
33 + 6 is 39, so the area is 39
How to solve?somebody help and explain
Answers
1 Look at the figure
289 cm
15 cm
15 cm
Which of the following correctly completes
the diagram to represent the Pythagorean
Theorem?
4 cm
cm
AO
because 289 - 15% - 2
22 cm
B
22 cm
because 289 +15-22
12 cm
12 cm
с
because 289 -15+ 122
D
cm
because 289 - 82 + 15
Answers
Answer:
D. 8-cm square
Step-by-step explanation:
The smaller square shown on the figure has an area of 15×15 = 225. The sum of the two smaller square areas must equal the larger square area, so the smallest square must have an area of ...
289 -225 = 64
Its side dimensions will be √64 = 8 cm.
The diagram is correctly completed by the 8 cm square.
To prepare for a bake-off, Lee used 640 grams of flour each day for 4 weeks. How many kilograms did Lee use in those 4 weeks?
Answers
4weeks = 28 days
So 28 x 640 = 17920
1000grams = 1kg
17920 divide 1000 =17.92
Lee uses 17.92kg in those 4weeks
Please answer my question, its in the image.
Answers
Answer:
6 4/9
Step-by-step explanation:
[tex]\frac{4}{9} + 5 * 2 - 4[/tex] [tex]\frac{4}{9} + 10 - 4[/tex] [tex]10\frac{4}{9} -4[/tex] [tex]6\frac{4}{9}[/tex]Answer:
6 4/9
Step-by-step explanation:
i hope this help have a nice day
Find the cost of leveling a badminton court 132m long and 58 m broad at the rate of Rs. 80 per sq. m.
Answers
Answer:
Rs. 612,480
Step-by-step explanation:
Hi there,
Here the question asks us to find the cost of leveling a badminton court at the rate of Rs.80 per sq..
So by the word leveling we know that we have to find the area of the court in order to proceed further.
(I am assuming the court to be rectangular in shape).
Area of a rectangle = Length * Breadth
*Length = 132 meters
*Breadth = 58 meters
==> 132*58= 7656 m^2
So now that we got the area of the badminton court lets find the cost of leveling it ==>
Cost of leveling per meter^2 = Rs. 80
Area = 7656 m^2
==> 7656 * 80 = 612,480
So the cost would be Rs. 612,480
If you found this answer helpful please mark me as brainliest.
Find the slope of the graph below
(1.1)
(3,0)
3
Oo
0-1/2
2/1
Answers
PLEASE HELP EMERGENCY 50 POINTS
Answers
Perimeter of a rectangle:
2(2x+7+x-5)=2(3x+2)=6x+4
Perimeter of a triangle:
x+2x+2x+11 = 5x+11
6x+4=5x+11
x=7
Please help me I need it
Answers
Answer:
112%
Step-by-step explanation:
percentage change value formula
c2 = X2 - X 1 X 100
X1 1
WHERE,
C2 = RELATIVE VALUE
X2 = FINAL VALUE ( TODAY'S VALUE) = 32,860
X1 = INITIAL VALUE (1992 VALUE) = 15,500
PERCENTAGE CHANGE = 100
C2 = 32860 - 15500 X 100
15500 1
= 17, 360 X 100
15,500 = 1.12 X 100 = 112%.
Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10. –10 < |3x – 5| < 10 3x – 5 > –10 or 3x – 5 < 10 3x – 5 < –10 or 3x – 5 > 10 –10 < 3x – 5 < 10.
Answers
The compound inequality solving original inequality |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]
What is magnitude and sign?A number has both magnitude(its absolute value) and its sign(positive or negative).
If numbers are negative, the more their magnitude increases, the lesser they become.
If numbers are positive, the more their magnitude increases, the greater they become.
Thus, for -5, the magnitude is 5, and sign is –ve.
Also, positive numbers > 0 > negative numbers.
|x| = magnitude of x.
Thus, |3x-5| > 10 is true if (3x-5) < -10 (since in that case, 3x-5 is negative but in negative signed values, values with more magnitude are smaller. Thus |3x-5| > |-10} = 10)
or (3x-5) > 10
(in case if (3x-5) is non-negative).
Thus, the compound inequality solving original inequality |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]
Learn more about compound inequalities here:
https://brainly.com/question/4688732
Answer:
it’s C trust me
Step-by-step explanation:
A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32. What is the volume of the dilated prism? Enter your answer, as a decimal, in the box. M³.
Answers
The volume of the dilated prism when the dimensions are dilated by a factor of 32 is 393,216 m³.
What is dilation?Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Given
A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32.
The area after the dilation.
Dilated area = (Dilation)² x base area
Dilated area = 32² x 3
Dilated area = 3072 m²
The height after the dilation.
Dilated area = Dilation x base area
Dilated area = 32 x 4
Dilated area = 128 m
The volume of the dilated prism.
Volume = 3072 x 128
Volume = 393216 m³
The volume of the dilated prism is 393,216 m³.
More about the dilation link is given below.
https://brainly.com/question/8652140
Answer:
40.5
Step-by-step explanation:
The person who commented on the first answer is correct. I took the quiz.
:)
Find the difference (6x^3-5x^2+14x+3) — (3x^3–2x^2+7x—2)
Answers
Part 1 of 12
The table below shows the length and weight of a species of fish. Complete parts (a) and (b).
Red Length (in.)
Weight (lb)
Fish Lengths and Weights
4
6
8
1.24 1.45 1.70
10
1.99
12
2.33
(a) Find an exponential model for the data.
1)
The exponential model for the data is y=
(Use integers or decimals for any numbers in the expression. Round to three decimal places as
Frr
Answers
The exponential function is given by y = 0.9(1.082)ˣ
Exponential function
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the fish weights at x inches.
Using point (4, 1.24):
1.24 = ab⁴ (1)
Using point (10, 1.99):
1.99 = ab¹⁰ (2)
From equation 1 and 2:
b = 1.082, a = 0.9
The exponential function is given by y = 0.9(1.082)ˣ
Find out more on Exponential function at: https://brainly.com/question/12940982
Aiden has a coin collection. He keeps 7 of the coins in his box, which is 20% of the collection. How many total coins are in his collection?
Answers
Answer:
Total coins are in his collection is 35 coins
Step-by-step explanation:
In his box = 7 coins
7 coins is 20% of the collection.
Total Coins :
7 ÷ 20%
[tex] \tt7 \div \frac{20}{100} [/tex]
[tex] \tt{7 \times \frac{100}{20} }[/tex]
[tex] \tt{7 \times 5}[/tex]
35 coins
Proof :
35 × 20%
35 × 1/5
35 ÷ 5
7
Put these into Slope-Intercept Form
x – y = –2
x – y = –4
Answers
Answer:
y=x+2
y=x+4
slope intercept form is y=mx+b