What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a horizontal shift of StartFraction pi Over 2 EndFraction?
y = sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 8 sine (4 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 x) + StartFraction pi Over 2 EndFraction
Answers
Answer:
C: [tex]y = 6 \sin (8(x-\frac{\pi}{2} ))[/tex]
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
The General equation of a sine function is f(x) = 6·sin(8(x -π/2)).
What is Sine Function?The sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.
Here, Amplitude = 6, P=π/4, and S=π/2
A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...
f(x) = A · sin(2π/P(x -S))
f(x) = 6·sin(8(x -π/2))
The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.
Thus, the General equation of a sine function is f(x) = 6·sin(8(x -π/2)).
Learn more about Sine Function from:
https://brainly.com/question/12015707
#SPJ2
Related Questions
please help me with this
Answers
Answer:
its 18
Step-by-step explanation:
6x3=18
Plzzz help asappppppoppp
Answers
Answer:
C
Step-by-step explanation:
expressions below are equi valent? 5(w + 12)=5w + 60 Associative property Commutative property Inverse property Distributive property
Answers
You would use the Distributive property to make the left side the same as the right side.
5(w+12) = 5w + 60
Multiply the 5 by each term inside the parenthesis.
5w +60 = 5w +60
Erik is an RN at the hospital. He gets a standard rate of pay for 40 hours. He gets 175% of that rate for overtime. One week Erik works his
regular 40 hours and has 16 hours of overtime. He makes $680 that week.
Which equation would solve for the standard rate of pay?
Answers
Answer:
40R+16 (1.75r)= $680
Step-by-step explanation:
Trust me
Joyce packed lunches for the Shiloh Football Team. If she packed 75 pounds of bagged lunches. Each bag weighed 1 1/2 pounds. How many lunches did she pack?
50
60
70
80
WILL GIVE BRANLIEST
Answers
Answer:
50
Step-by-step explanation:
total weight=75 pounds
each bag weighed 1 1/2 pound=3/2 pound
no. of lunches=total weight/weight of each lunch
=75/(3/2)
=75*2/3
=50lunches
Answer:
50
Step-by-step explanation:
You need to divide 75 lb by 1 1/2 lb.
[tex] 75 \div 1 \frac{1}{2} = 75 \div \dfrac{3}{2} = \dfrac{75}{1} \times \dfrac{2}{3} = \dfrac{150}{3} = 50 [/tex]
Answer: 50
If g(x) = 8(1/2)^x then what is g(-1)= ?
Answers
Answer:
x=0
g−1(4)=0∵ g(0)=4
Step-by-step explanation:
The following is an estimated demand function: Q = 875 + 6X +15Y − 5P Where Q is quantity sold, X is advertising expenditure (in thousands of dollars), Y is income (in thousands of dollars), and P is the good's price. The R2 was 0.92; the F-statistic was 57; the Standard Error of the Estimate (SEE) is 25. In the above regression: A. income has the highest importance in predicting sales. B. all of the options. C. the regression model is capable of explaining 92% of sales. D. if price increases 10 dollars, the sales will decrease 50.
Answers
Answer:
See step by step explanation
Step-by-step explanation:
Q = 875 + 6 * Adv. expenditure + 15* Income - 5 * Product price
A.- As we can see each unitary change (in thousands of $) in Income, will mean an increase of 15 $ (thousands ) in the demand function, the highest impact in Q
C.- The regression model is capable of explaining 92 % of the variation in Q due to the predictors.
D.- If the price is increased by 10 $ demand will decrease in 50
Mr. Esposito is 5 foot 11 inches tall. Mrs. Humbert is 63 inches tall. Who is taller and by how much?
Answers
Answer:
Mr. Esposito is taller By 8 inches
Step-by-step explanation:
5 feet and 11 inches is equal to 71 inches. And 71 inches is greater than 63 inches. Therefore, Mr. Esposito is taller.
(71-63=8)
DON'T FORGET TO DOUBLE-CHECK!
Answer:
Mr. Esposito is taller by 8 inches
Step-by-step explanation:
Mr. Esposito
12x5 = 60 + 11 = 71
Mrs. Humbert
63 inches = 5 foot and 3 inches
71 - 63 = 8
If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X,
Answers
Answer:
The answer is option C..........
To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.
What is line segment?A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.
To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.
The slope of AB can be calculated using the formula:
mAB = (y2 - y1) / (x2 - x1)
Similarly, the slope of CD can be calculated using the formula:
mCD = (ya - Y3) / (xx - X3)
If mAB = mCD, then AB is parallel to CD.
Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)
For more details regarding line segment, visit:
https://brainly.com/question/30072605
#SPJ7
CAN ANYONE HELP ME ASAP AND THANKS:)
Answers
Answer:
true, true, false
Step-by-step explanation:
the sales do not decrease between week 4 and 5
Answer:
The answer is True, True, False
Step-by-step explanation:
For the first one, it is true because if you look on the graph, on the bottom or the x-axis, it is labeled "weeks". If you pay attention to when the line on the graph is, you will se that it is a straight line through weeks 1 and 2, so number one is true.
For the second one, it is also true because on the graph, you can see the the line starts to go upwards or increase. While the line is doing that, you can look right under it and see that it is passing through weeks 3 and 4, so that is True.
For the last one, it is false because on the graph, the line keeps going upwards for weeks 5 and 6, and the statement says that it is decreasing or going down, which is incorrect, so finally, the last question is false.
Hope this helps!
$500 at 12% for 6 months (0.5 years) Find the interest
Answers
Answer:
Step-by-step explanation:
500(.12)(.5)= $30 interest
Will give brainliest for correct answer
Answers
Answer:
The first picture on the second page
Step-by-step explanation:
The first picture on the second page would be the answer because it gives exactly one input for each output. It also passes the vertical line test because no point throughout the line creates a vertical line.
Area & Surface Area:Question 10
What is the area of the right triangle shown in the image?
7 4 Select one:
A. 22 units?
B. 11 units
C. 14 units
D. 28 units
Answers
Answer:
D
Step-by-step explanation:
how might the area of a room affect the way the room is used?
Answers
Answer:
The more area a room has the more things you can put in it
Step-by-step explanation:
Solve the following system of equations: (2 points) −2x + y = 1 −4x + y = −1
Answers
Answer:
(x,y)=(1/2,0)
Step-by-step explanation:
rewrite the expression
-2x+y=-1
1-4x+y=-1
Explain how you can decide whether the equation represents the graph. What can you do to the equation to make it a better fit for the graph? What equation would fit better?
Melvin wrote the equation 푦 = (푥 + 3)(푥 + 1)(푥 − 2) 2 to represent the graph at right.
Answers
Answer:
O
Step-by-step explanation:
Which value of m makes the equation true?
8+m=27
Hurry I need an answer!!!!
Answers
Answer:
19
Step-by-step explanation:
given that 8 + m = 27
we need to find m
we can do this by isolating the variable using inverse operations
8 + m = 27
we want to get rid of the 8 in 8 + m
The opposite of addition is subtraction
So we want to subtract by 8 but remember what ever we do to one side we want to do to the other side
So we subtract 8 from each side
8 - 8 cancels out
27 - 8 = 19
we're left with m = 19
what is solution to
12²-5²
Answers
Answer:
119.
Step-by-step explanation:
12x12 is 144
5x5 is 25
144-25 = 119
12) What type of triangles will always be similar to one another?
Answers
Answer:
Right
Step-by-step explanation:
Answer: Two equilateral triangles are always similar.
Step-by-step explanation:
The jeweler has a stock of alloys that are 25% gold, 50% gold, and 82% gold. Choose 2 different alloys that can be used to create an alloy that is 75% gold. Explain why you chose these alloys.
Answers
Use the equation to answer the question . x + 9 + 2x = 3x + 11 How many solutions does the equation have? ОА. Ano solutions O solution c two solutions O infinitely many solutions
Answers
Answer:
No solution
Step-by-step explanation:
Add x and 2x.
3x+9=3x+11
Move all terms containing x to the left side of the equation.
Subtract 3x from both sides of the equation.
3x+9−3x=11
Combine the opposite terms in
3x+9−3x.
Subtract 3x from 3x.
0+9=11
Add 0 and 9.
9=11
Since 9≠11, there are no solutions.
Hope it is helpful....Answer:
Answer:
No solution
Step-by-step explanation:
Add x and 2x.
3x+9=3x+11
Move all terms containing x to the left side of the equation.
Subtract 3x from both sides of the equation.
3x+9−3x=11
Combine the opposite terms in
3x+9−3x.
Subtract 3x from 3x.
0+9=11
Add 0 and 9.
9=11
Since 9≠11, there are no solutions.
Hope it is helpful....
diavinad8 and 7 more users found this answer helpful
THANKS
5
5.0
(2 votes)
56
Step-by-step explanation:
♪☼►♀☺♂dhdbcbhcucbhbhebdhhbdhhbdhbxsecbhjeegrtbnejffrfbhbwbjdifbvdhdhfgefbh4rh73e72erhf7fy3ueuyyr7y4reheueufhuuheuirjriuhefhfifhuifuhuhufhuehufyhefuewhuweiuuwueuuuhfuhwufuhfuhufhuefhfhuff
fufuhuhfu
i am pro
Which statement is true about the relationship between the height of the plant and the number of days? This relationship is a function because the plant can only be one height at a time. This relationship is not a function because the plant can only be one height at a time. This relationship is a function because the plant can be more than one height at a time. This relationship is not a function because the plant can be more than one height at a time.
Answers
Answer:
This relationship is a function because the plant can only be one height at a time.
Step-by-step explanation:
Functions occur when the recorded x-value is varied each time. Since the height of the plant (the x-value) varies each day, it is a function.
What are the coordinates of the vertex of the graph of the function y=-x^2+ 6x -11?
A. (3.-2)
B. (3.16)
C. (-3, -29)
D. (-3, -20)
Answers
Answer:
Hi! The answer to your question is D. (-3, -20)
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!!
- Brooklynn Deka
In the school band, 8/24 of the members play the trumpet. In simplest form, what fraction of the band plays the trumpet?
Answers
Find the range of the data
5,9,13,6,4,5,8,12,12,6
Answers
Answer:
9
Step-by-step explanation:
highest value: 13
lowest value: 4
13-4= 9 which is the range
Answer: 9
Step-by-step explanation: 13-4=9
what is the ratio of circles to total shapes
Answers
A plane is traveling at a constant rate described by d = 525t where d is the distance and t is the time. What is the constant of proportionality?
Answers
Answer:
50 points
Step-by-step explanation:
Answer:
525 is the constant of proportionality
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
Answer:
QPN and TSU
Step-by-step explanation:
They're both exterior angles and they are both alternate to each other.
calcula b para que la recta 2x + by = - 11 pase por el punto (-2, 5)
Answers
Answer:
i dont kown sorry i hope i helped :)
Step-by-step explanation:
jsqfwfnkewrrbnrjbhrwob
Find the perimeter and area of the rectangle.
20 ft
7 ft
The perimeter is
ft and the area is
Answers
Answer:
Area is 140 ft2
perimeter is 54 ft
Answer:
54 and 140
Step-by-step explanation:
If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.
The area is 140, because if you multiply 20 by 7, thn you get 140.
Hope that this helps!