Answer:
It just simplifies to x
Step-by-step explanation:
1.02 sinusoidal graphs
WHAT IS THE MAXIMUM OF THE SINUSOIDAL FUNCTION?
Enter your answer in the box.
___
Answer:
[tex]\displaystyle -2[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 2cos\:(\frac{4}{13}\pi{x} - \frac{\pi}{2}) - 4} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -4 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{1\frac{5}{8}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{4}{13}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6\frac{1}{2}} \hookrightarrow \frac{2}{\frac{4}{13}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle \boxed{y = 2sin\:\frac{4}{13}\pi{x} - 4} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -4 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6\frac{1}{2}} \hookrightarrow \frac{2}{\frac{4}{13}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{4}{13}\pi{x} - 4,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is approximately shifted [tex]\displaystyle 1\frac{5}{8}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 1\frac{5}{8}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{1\frac{5}{8}} = \frac{\frac{\pi}{2}}{\frac{4}{13}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{4}{13}\pi{x} - \frac{\pi}{2}) - 4.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-6\frac{1}{2}, -4],[/tex]from there to the y-intercept of [tex]\displaystyle [0, -4],[/tex]they are obviously approximately [tex]\displaystyle 6\frac{1}{2}\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 6\frac{1}{2}.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -4,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
**Now, the maximum value is the highest possible value the graph touches, and in this case, the graph's highest peaks cycle around [tex]\displaystyle y = -2,[/tex]therefore the maximum of this sinusoidal function is [tex]\displaystyle -2.[/tex]
I am delighted to assist you at any time.
First to answer gets brainliest and has to be correct
Answer:
According to what i have calculated, answer choice #1 is correct
RS and RT are tangents to the circle center o. Angle SRT=40 degrees. What is the size of angle SUT
Answer: is c (70 degrees) I hope it helps anyone.
Step-by-step explanation:
RS is a tangent ⇒ ∠OSR = 90°
RT is a tangent ⇒ ∠OTR = 90°
OSRT is a quadrilateral, so has an angle sum of 360°
⇒ ∠OSR + ∠SRT + ∠OTR + ∠SOT = 360°
⇒ 90° + 40° + 90° + ∠SOT = 360°
⇒ 220° + ∠SOT = 360°
⇒ ∠SOT = 140°
Now use the Angle at the Center Theorem
∠SUT = ½ × ∠SOT = ½ × 140° = 70°
Whoever gives correct answer gets brainliest
Answer:
2125
Step-by-step explanation:
175 / 7 = 25
25 * 85 = 2125
Answer:
3.4 miles
Step-by-step explanation:
PLEASEEE HELPPP :((((
Answer:
1. 15
2. -30
3. -67
4. 28
Your welcome :)
Step-by-step explanation:
Answer:
15 degrees above zero = 15
30 degrees below zero = -30
67 degrees below zero = -67
28 degrees above zero = 28
Step-by-step explanation:
HOPE THIS HELPS!
In the Special Right Triangle below, solve for the value of y. Y = _____ (keep your answer in simplest radical form)
Options
6
6√3
6√6
12
12√2
18
12√3
Answer:
Step-by-step explanation:
y=6x
100x56 Show work for brsinly
Answer:
5600
Step-by-step explanation:
100 times 56 = 5600 because you add the two zeros from the 100 to 56, etc.
Work out the area of the triangle 15m 28m 17m 25m
Answer: hope this helps can I out the image and can u give me brainliest
Step-by-step explanation:
clara simplifies (8b
Answer:
8b estaSIMPLIFIC ADA
Step-by-step explanation:
5x —(3x + 2y) =
What is that equal to
Two fathers and two sons enter a movie theater and pat ten dollars each. The ticket seller takes $30. What happened to the rest of the money?
Answer:
they wont have any left
Step-by-step explanation:
think about grandfather, father, and son.
simplify 6 radical 27
Can someone please help me
Answer:
-11, -5, -23, 7
Step-by-step explanation:
plug in the h value into equation
-2(2)-7
-11
-2(-1)-7
-5
-2(8)-7
-23
-2(-7)-7
7
Reeva’s family budget is shown. She works 165 hours each month. With the given information, what is the minimum hourly wage she would need to earn to cover her monthly expenses?
Answer:
12.26
Step-by-step explanation:
To solve, you need to add her expenses of everything to get 2024.08. You know she works 165 hours each month, so you need to divide the 2024.08 total expenses by 165 to get her minimum hourly wage. 2024.08/165 = 12.267151515
Answer:
12.27
Step-by-step explanation:
Give an example of two other body systems that work together, and explain how they support each other
Answer:
Two systems that work very closely together are our cardiovascular and respiratory systems. The cardiovascular system includes your heart and blood vessels, which function to remove deoxygenated blood from and return oxygenated blood throughout your body. ... The heart then sends the oxygenated blood out to the body.
Step-by-step explanation:
Answer:
Two systems that work very closely together are our cardiovascular and respiratory systems. The cardiovascular system includes your heart and blood vessels, which function to remove deoxygenated blood from and return oxygenated blood throughout your body. ... The heart then sends the oxygenated blood out to the body.
Step-by-step explanation:
What are the resulting coordinates of triangle A′B′C′ after reflecting triangle ABC across the origin if the vertices of triangle ABC are A(2, 6), B(–4,–7), and C(5, –4)?
Question 8 options:
A)
A′(2, –6), B′(–4,7), C′(5, 4)
B)
A′(6, 2), B′(–7,–4), C′(–4, –5)
C)
A′(–2, –6), B′(4,7), C′(–5, 4)
D)
A′(–2, 6), B′(4,–7), C′(–5, –4)
Answer:
C
Step-by-step explanation:
When reflecting across the origin, negetives become positives and positives become negetives.
Hope that helps!
The coordinates of the new triangle after reflecting triangle ABC across the origin will be - A' (-2, -6), B'(4, 7) and C'(-5, -4).
We have a triangle ABC with coordinates A (2, 6), B(-4, -7) and C(5, -4)
We have to find the coordinates of the resulting triangle if the triangle ABC is reflected across the origin.
A point P(x, y) is reflected across the origin O(0, 0). What will be its new coordinates?A point P (x, y) when reflected across the origin, its new coordinates become - P'( -x, -y).
In the question given to us, we have a triangle with coordinates A (2, 6), B(-4, -7) and C(5, 4).
When this triangle is reflected across the origin, then the new coordinates will be -
A (2, 6) → A' (-2, -6)
B (-4, -7) → B' (4, 7)
C (5, -4) → C' (-5, 4)
Hence, the coordinates of the new triangle after reflecting triangle ABC across the origin will be - A' (-2, -6), B'(4, 7) and C'(-5, -4).
To solve more questions on Reflection of Points, visit the link below -
https://brainly.com/question/938117
#SPJ2
Please help me as soon as you can, thank you :') I will mark brainly who ever gets it right !!
Question 4 What happens when the player performs the trial (rolling two dice) N times? Perform the trial by using the "Dice Roller" In this simulator e. Perform the simulation N times for these values of N: 5, 10, 20, and 50. In this simulation, you will roll two dice (or, strictly speaking, click the button that simulates the roll), write down the numbers shown on the faces (a pair of numbers obtained on each roll is a outcome), and calculate the product of the two numbers for each roll.
Answer:
1,3,6,12
0.20, 0.30,0.30,0.40
Step-by-step explanation:
Clarence saved 19% of the money he earned. If he earned $90, how much did Clarence save?
Answer:
probably like 10
Step-by-step explanation:
The number a 102 is about 8 times greater than bx 103.
Find the correct value of a and b.
?
Why are the triangles congruent?
Answer:
SAS (side angle side)
Step-by-step explanation:
the third one
Answer:
because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.
Step-by-step explanation:
CAN YOU PLS MARK ME BRAINLIEST THX HAVE A NICE DAY!
how to know if the problem is side angle side
Answer:
if you have a pic i may know what you are talking about better and i will try to help you
Step-by-step explanation:
if you are talking about a missing angle of a right triangle i can tell you how to do that
How many solutions does this system have?
Answer:
One
Step-by-step explanation:
The solution to the system is (1, 5)
Answer:
one
Step-by-step explanation:
Pls help me ASAP and ill give brainliest
Answer:
The answer is A
After some time, the water evaporates and the pan is 13 full. How much water, in cubic inches, evaporates from the pan?
Answer: 16 inch
Step-by-step explanation:
I believe it’s because when your work it out it gives you 16 inch
how many rows of 1 inch cubes fit in the bottom layer of the carton
Answer:
3
Step-by-step explanation: there is 3 lolllllllllllllllllllllllllllllllllllllll
What number would you add to each side of the inequality to solve:
13 < 4n - 14.4 ?
2 medical plans. Plan 1 employee pays 10% of all medical bills. Plan 2 employee pays one time payment of $150 then employee pays 5% of all medical bills. What total medical bill would result in the employee paying the same amount with the 2 plans?
Answer:
$3000
Step-by-step explanation:
The computation of the total medical bill is shown below:
Let us assume the total medical bill be $x
For plan 1,
As he pays 10% of x, So 10% of x - (1)
For plan 2 ,
As he pays 5% of x + 150, that is 0.05 of x + 150 - (2)
Now equate both the equations
0.10x = 0.05x + 150
0.05x=150
x = $3000
Total medical bill = $ 3000
The linear function below represents the total cost in dollars, y, to camp at state Park for x nights. What is most likely represented by the y intercept of the function
y=14x +22
a-The number of nights spent camping
B-The cost per night to camp at the park
C-The number of people camping
d- The cost of a one time fee for a camping pernit
Answer:
D
Step-by-step explanation:
Since you already know the cost per night and the total cost, you would need to multiply the number of people camping there, therefore, '22' can't be the number of people camping. That makes the final answer D.
I need this ASAP please
Answer:
m>2 is the correct answer
Answer:
m > 2
Step-by-step explanation:
The arrow is pointing to the right, so m must be larger than 2. When the 'alligator mouth' is pointing to m, that means m is a higher number. It is the > symbol instead of ≥ because the circle is NOT filled in, so therefore NOT equal to or more than.
The answer is number 2 , or
m > 2
24x-17x>13x+15 please help me with this question
Answer:
2.5
Step-by-step explanation: