The graph and therefore, the sinusoidal function equation is a wave function graph and equation
The formula of the sinusoidal function can be written as follows;
[tex]y = \mathbf{5 \cdot sin\left (\dfrac{1}{2} \cdot \left (x + \dfrac{\pi}{2} \right)\right)}[/tex]
The process of deriving the equation of the sinusoidal function is as follows:
The given parameters of the sinusoidal function are;
The coordinate of the maximum point = (0, 5)
The coordinate of the minimum point = (2·π, -5)
Method:
The general form of the sinusoidal function is y = A·sin(B·(x - h)) + k
From the given coordinates of points on the graph of the sinusoidal wave, the values of A, B, h, and k can be calculated as follows
Solution:
y = A·sin(B·(x - h)) + k
Where;
A = Amplitude = (Maximum y-value - Minimum y-value)/2
∴ A = (5 - (-5))/2 = 5
A = 5
The period, T = 2·π/B = The time to complete a cycle = Time from maximum y-value to another maximum y-value
∴ The period, T = 2 × (The x-value at maximum y-value - The x-value at minimum y-value)
T = 2 × (0 - 2·π) = -4·π
Given that the period, T represent a scalar quantity, we have T = 4·π
∴ T = 4·π = 2·π/B
B = 2·π/4·π = 1/2
B = 1/2
From the given coordinates, at x = 0, f(x) is maximum, therefore, sin(B·(x - h)) = 1, which gives;
B·(x - h) = π/2
(1/2)·(0 - h) = π/2
h = -π/2
The vertical shift, k = (Maximum y-value + Minimum y-value)/2
∴ k = (5 + (-5))/2 = 0, there is no vertical shift
Therefore;
The equation of the sinusoidal function is y = 5·sin(1/2·(x - (-π/2)) + 0, from which the equation can be presented as follows;
[tex]y = \mathbf{ 5 \cdot sin\left (\dfrac{1}{2} \cdot \left (x + \dfrac{\pi}{2} \right)\right)}[/tex]
Learn more about sinusoidal functions here
https://brainly.com/question/22706973
Answer:
f(x)=5sin((1/2)x + (pi/2))
Step-by-step explanation:
1/5 ÷ 7 = ______________________________
Answer:
1/35
Step-by-step explanation:
1/5*7 = 1/35
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
Answer:
yes it is possible to make a triangle with those lengths.
It is possible to form a triangle with the given side lengths
What is a triangle?A triangle is a two-dimensional geometrical figure that has three sides, three vertices and three interior angles.
Given, three sides are 7 yards, 8 yards, 9 yards.
Let, three sides are 'a', 'b, 'c' and 'a' is the largest among these three.
Then, a triangle can be formed with these three sides if (b + c)>a.
Here, 9 yards is the largest.
Therefore, (7 + 8) yards = 15 yards > 9 yards
Therefore, with these three sides, a triangle can be formed.
Learn more about a triangle here:
https://brainly.com/question/10324925
#SPJ3
X Y
15 3
25 5
35 7
45 9
50 10
y =
Answer:
12,14,15
Step-by-step explanation:
I will mark brainliest .. help me
Answer:
-2Step-by-step explanation:
When I graph it and calculate the slope using both rise over run and slope formula I get -2 both times.. If you need any more explanation just ask:) I hope I helped.
Jackie is buying crackers and wants to know how many crackers are in the box. The box is 8 cm long, 2.4 cm wide, and 60 cm high. The dimensions of the crackers are 3cm long, 4 cm wide, and 5 cm high. How many crackers are in the box? Round to the nearest whole number. Geometry
Answer:
19
Step-by-step explanation:
Number of crackers that can be fit into the box = volume of the box / volume of crackers
Volume = length x width x height
volume of the box = 8 cm x 2.4 cm x 60 cm = 1152 cm^3
Volume of the crackers = 3cm x 4 cm x 5cm = 60cm^3
1152/60 = 19.2
Rounding 19.2 to the nearest whole number gives 19
what is y^6 times y ^5
Answer:
Y^11
Step-by-step explanation:
since their the same base “y” add the exponents
6 + 5 = 11
The radius of a circle is 3 m. Find its area to the nearest tenth.The radius of a circle is 3 ft. Find its area to the nearest tenth.
Answer:
1st question answer is A = πr^2 2nd question answer is A≈28.27ft²
Step-by-step explanation:
What is X brainliest
What is X?
I say that X = 2
6th grade math help me pleaseee
Answer:
x = 3, y = 7
Step-by-step explanation:
Since we already have y's value, we can plug y into the bottom equation to get 3(5x - 8) = x + 18. We can distribute 3 into 5x and 8 to get 15x - 24 = x + 18. We can now subtract x from the both sides to get all terms on one side to get 14x - 24 = 18. We can now add 24 to both sides to get 42. We can now divide both sides of the equation by 14 to get x = 3. We can plug x into the top equation to get y = 5(3) - 8. We can multiply 5 and 3 together to get y = 15 - 8. We can simplify and subtract to get y = 7. Our final answer is (3, 7)
Which is the correct input-output table for the function f(x) = 3x2 - 1+4?
O
0
f(2)
14
9
1
2
3
14
20
O
0
4
1
2
3
8
18
34
Answer:
the question is incorrect. please write your points as coordinates or scan the diagram.
Cindy has a salary of $880 per week and is paid every two weeks. She has the following deductions from each paycheck: Federal income taxes: $195.82 State income taxes: $63.60 Insurance: $65.18 FICA: $134.64 Retirement plan: $176 What is Cindy's net income on each paycheck? Enter your answer as a number rounded to the nearest cent, such as: 150.12.
Answer:
244.80 If I'm not wrong.
Step-by-step explanation:
Add all of the deductions together and subtract them by 880
By using g00gle I found out that 195.82 + 63.60 + 134.64 + 176.00 = 635.24.
So now you subtract it by her salary down below:
880.00 - 635.24 = 244.76
244.80 or 245 if I'm not wrong
Cindy's net income on each paycheck will be $244.76.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
Federal income taxes: $195.82
State income taxes: $63.60
Insurance: $65.18
FICA: $134.64
Retirement plan: $176
Add all of the deductions together;
195.82 + 63.60 + 134.64 + 176.00 = 635.24.
So now we will subtract it by her salary down below:
880.00 - 635.24 = 244.76
Hence, Cindy's net income on each paycheck will be $244.76.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ5
Pamela's age is two times Jiri's age. The sum of their ages is 84. What is Jiri's age?
Answer:
28
Step-by-step explanation:
28 times 2 = 56
28 times 1 = 28
56 + 28 = 84
Write
22
3
as a mixed number.
Give your answer in its simplest form.
[tex]\frac{22}{3}[/tex] = 7[tex]\frac{1}{3}[/tex]
Hope this helps :-)
What is the area of the trapezoid?
9 cm
8 cm
17 cm
Find the perimeter of this figure.
Answer:
The answer is
88 in. (inches)
Find the missing length. If needed, round to the nearest tenth.
B
7
E
3
G
The value of x is 2
Answer:
Step-by-step explanation:
AB = BG
10 = 7+x
x = 3
help please its due at 9:00
Answer:
1. No
2. Yes
3. No
4. Yes
Step-by-step explanation:
Plug in values for the unknowns into bother expressions to see if the give the same answer.
I don't really know how to do this but the best thing I can say is to replace those variables with a number and then put it in a calculator. Make sure each variable has a different number.
so for the first one, I made s as 2 and t as 3. I got 18 for the first one and 6 on the other one so they're clearly not equal.
good luck!
Q 10. Raj purchased the following items from the grocery shop :
5 kg wheat = Rs. 38.50 per kg
3 coconuts = Rs. 30 per piece
1 Dettol bottle = Rs. 52.25 per bottle
The shopkeeper asked him to pay = Rs. 324.75
Raj was very good at calculation.
He found some mistake in the shopkeeper's calculations.
Can' you find the mistake ?
Is the amount demanded by the shopkeeper for the item purchased righ
What is wrong ? Write the answer with reasons ( show the calculation
What do you think , how does Raj react in this situation ?
Answer:
The shopkeeper demanded low amount that it needed to be
Answer:
The demand of the shopkeeper is 10 rupee less and i think raj will take those items without correcting cause normally we people always think only of our best nah we dont usually care about others. （lol）
Step-by-step explanation:
so lets see the calculation ：
Since he bought 5 kg wheat at rs. 38.50 per kg then total will be = 5* 38.50 = Rs. 192.5
also he bought 3 coconuts at rs. 30 per piece then total will be = 3* 30 = Rs. 90
Also ,
He bought 1 Dettol at Rs 52.25
Then total will be ：
Rs. 52.25 + 90 + 192.5
= Rs. 334.75#
Hope this helped
All the best ！！
WILL MARK BRAINLIEST
Can someone please check my answer, if it’s wrong please correct me
Answer:
Yes
Step-by-step explanation:
It is symmetrical on the y-axis so must be.
Answer:
correct
Step-by-step explanation:
Can someone please help me with this?
9514 1404 393
Answer:
162.46 square units
Step-by-step explanation:
The area of a sector of arc b (in radians) is ...
A = 1/2r²b
A = (1/2)(9.6²)(202·π/180) = 162.46 . . . square units
How many triangles can be constructed with angles measuring 50º, 90º, and 40º?
Answer:
Infinite
Step-by-step explanation:
We know that in a triangle the sum of all the interior angles must be 180°.
The given angles 50º, 90º and 40º
The sum of the angles 50º+ 90º + 40º= 180°
Thus, a triangle is possible with the given measurement.,
Let there is another triangle with the given angles, then by AAA similarity criteria they are similar.
Similarly, all the triangles with the same measurements of the angles must be similar.
Therefore, there are infinite number of triangles can be possible with angles measuring 50º, 90º, and 40º.
2+2= need to kno thank you
Answer:
Yay thanks for the free points I really! appreciate u!!
have a good day sir or ma'am. And 2+2 = 2+2
;-; :))
Did I do this correctly??
Answer:
yes
Step-by-step explanation:
(a) One ball is selected at random from the bag.
Write down the probability that it is numbered 8
(b) On another occasion, two balls are selected at random from the bag.
Find the probability that:
(i) the number on each ball is even,
(ii) the sum of the numbers on the balls is not more than 10.
Answer:
a) The probability is 1/5
bi) The probability each ball is even will be 2/5
bii) The probability the sum of the numbers on the ball is not more than 10 is 16/25
(that's what I think it is)
Log(x+4)=8
Please help I don’t understand it I will give brainliest
A contestant on a game show has 60 points. She answers a question correctly to win 30 points. The she
answers a question incorrectly and loses 55 points. What is the contestant's final score?
What’s the answer?
Answer:
30+15=45
45-25=20
The contestants final score is 20
Step-by-step explanation:
Answer:
25/5
Step-by-step explanation:
i really doubt in both of 'em
what is the distance between points M(-3, 1)and N(7, -3)
Answer:
d = 2√29 units
Step-by-step explanation:
M(-3, 1)and N(7, -3)
To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values.
d = √[(7 - (-3))² + (-3 - 1)²]
Simplify the parentheses.
d = √[(7 + 3)² + (-4)²]
d = √[(10)² + (-4)²]
Simplify the exponents
d = √[(100 + 16)]
Simplify the parentheses by adding.
d = √[116]
Simplify the brackets with the square root.
Since 116 is not a perfect square, we need to find two numbers that multiply to 116. One number must be a perfect square. The other must be a prime number.4 • 29 = 116. Therefore √4 • √29 = √116√4 = 2. Therefore 2√29 = √116d = 2√29 units
Hope this helps!
Solve for x&y, y=3x-4 & y= 2x + 1
Please show step by step how you got the answer
Answer:
(5, 11 )
Step-by-step explanation:
Given the 2 equations
y = 3x - 4 → (1)
y = 2x + 1 → (2)
Substitute y = 3x - 4 into (2)
3x - 4 = 2x + 1 ( subtract 2x from both sides )
x - 4 = 1 ( add 4 to both sides )
x = 5
Substitute x = 5 into either of the 2 equationsfor corresponding value of y
Substituting into (2)
y = 2(5) + 1 = 10 + 1 = 11
solution is (5, 11 )
Answer:
This is a system. put the first equation under the second one and subtract. y - y = 0. 2x - 3x = -x. 1 - (-4) = 5. so the result is 0 = -x +5 or x = 5. plug x into either equation and y = 11. the answer is (5, 11).
Which surveys would a sample be appropriate for? Mark all that apply.
A. Helen wants to know the favorite sport of adults in her town.
B. Caleb wants to know the type of music his current teachers like.
C. Jaclyn wants to know the average weight of her sisters' backpacks.
D. Kevin wants to know the most common way students get to school.
E. Roberto wants to know the average height of the people sitting at his table.
Answer:
a d
Step-by-step explanation:
Answer:
..............................
Step-by-step explanation:
katarina bought a package of 500 stickers are heart. The remaining stickers are stars
Where is the question?
Answer: There are 375 star stickers and 125 heart stickers.
There are 500 stickers with 20 stickers per sheet; 500/20 = 25 sheets of stickers.
25% of each sheet is hearts; 25/100(20) = 5 heart stickers per sheet. 5(25) = 125 total heart stickers.
20 stickers per sheet - 5 heart stickers per sheet = 15 star stickers per sheet. 15(25) = 375 total star stickers.