SUPER URGENT: Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, and a phase shift to the left 1 unit.
y =
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Answer:
A general sinusoidal equation is:
y = A*sin(w*x + p) + M
where:
A is the amplitude
w is the angular frequency
p is the phase shift
M is the midline.
Now, we know that:
Amplitude must be 6, so A = 6
period is 2*pi/3
Remember that the frequency is the inverse of the period, then:
f = 1/T
f = 1/(2*pi/3) = 3/(2*pi)
And the angular frequency is 2*pi times the normal frequency, then:
w = 2*pi*f = 2*pi*(3/2*pi) = 3
w = 3
Here we not have information about the midline, so M = 0.
And we know that the phase shift is one unit to the left.
Remember horizontal translations:
for a function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, then the translation is to the left
if N < 0 , then the translation is to the right,
Here we know that the phase shift is to the left, so p must be positive, and we know that the shift is 1 unit to the left, then:
p = +1
Replacing these in the equation we get:
y = 6*sin(3*x + 1) + 0
y = 6*sin(3*x + 1)
Related Questions
PLEASE HELP I NEED IT REALLY FAST!!!!
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The length is 5
Step-by-step explanation:
Let the length be x
Width = ( X - 2)
Area = 15
area = length * width
15 = x(x -2)
15 = x² - 2x
x² - 2x - 15 = 0
(x² + 3x) - (5x - 15) = 0
x(x + 3) - 5(x + 15) = 0
x - 5 = 0 or x + 15 = 0
x =5 or x = -15
x = 5
land value is increased by 12 % in each year in 2016 , the value is $60000.
i )what us the land value after 4 years
ii) Calculate the increase of the land value during these 4 years.
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Answer:
I=use PTR/100
ii =p+i
Step-by-step explanation:
hope you like it
Simplfiy the expression
12/c^-8d^2?
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**PLEASE HELP THIS IS FOR A FINAL**
Please show work as well
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Can you guys help me find the answer
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:))))))))))))))
Answer:
Step-by-step explanation:
Start by looking at the face that is closest to the bottom left. It is a hexagon and it makes 1 face.
It is connected to a similar hexagon on the upper right by 6 tiles. So that adds 7 more faces.
The total is 2 hexagons + 6 rectangles = 8 faces.
Brainliest goes to whoever answers correctly also if you want more points then answer my others
Answers
Answer:
It is a value that is an abnormal distance from the other values in a data set.
Step-by-step explanation:
An outlier is something that stands out from another thing. Such as color in a black and white film.
Find the length of the missing side.
40 m
24 m
The length of the missing side is
m.
Answers
Answer:
40 m and 34 m
Step-by-step explanation:
vas muy bien seguro asi q hazlo tu JAJJA
Mr. Catone noticed that many of the students in his classes had been born in
another country. He randomly chose 16 students and found that 7 of them
had been born in another country. If Mr. Catone's sample is representative,
which of the following is closest to the number of his 144 students who were
born in another country?
o
A. 54
Option A
B. 63
O
C. 72
D. 112
O
Item #3050
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Please help me solve my problem!!!
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Answer:
B. Parallelogram
Step-by-step explanation:
1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)
2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.
3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.
4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.
5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.
6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that B. Parallelogram is the type of polygon that this figure is.
Whoever answers these 2 right gets brainliest and 25 points!
Answers
Answer:
1. C) 8•9
2. D) 4•2
Step-by-step explanation:
1. multiplication come first before division
2. You have to resolve parenthesis first (3+4•2)
3•24÷12-(3+8)
Answer:
i think c and d
Step-by-step explanation:
math
find the value of x and y, (x+y, 2x-y)= (13, 2)
Answers
Answer:
Step-by-step explanation:
comparing corresponding elements
x + y = 13
2x - y = 2
Now use substitution method.
x + y = 13
x = 13 - y equation(i)
substitute the value of x
2x - y = 2
2(13 - y) - y = 2
26 - 2y - y = 2
-3y = 2 - 26
y = -24/-3
y = 8
substitute the value of y in eqaution(i)
x = 13 - y
x = 13 - 8
x = 5
therefore , x = 5 and y = 8
To check :
x + y = 13
when we add x and y then must come 13
5 + 8 = 13
13 = 13
2x - y = 13
substitute the value of x and y . REsult must come 2
2*5 - 8 = 2
10 - 8 = 2
2 = 2
10 - 8 = 2
Answer:
x = 5, y = 8
Step-by-step explanation:
Another way to write (x+y, 2x-y)= (13, 2) is
x + y = 13 -- (1)
2x - y = 2 -- (2)
using the elimilation method,
Rewriting (1), y = 13 - x --(1)'
Replacing (1)' into (2),
2x - ( 13 - x) = 2
2x - 13 + x = 2
3x = 15
x = 5 -- (3)
Replacing (3) into (1),
5 + y = 13
y = 8 -- (4)
Accorindg to (3) and (4),
x = 5, y = 8
If this helps you, please give brainliest!
Step by step pls thanks
Answers
The choose (d)
1/2(x+1)
x²–25/x²+6x+5 / 2x-10
(x+5)(x-5)/ (x+1)(x+5) / 2(x-5)
Remove (x+5) from the first fraction
(x-5)/(x+1) / 2(x-5)
(x-5) / 2(x-5)(x+1)
Remove (x-5)
1/2(x+1)
I hope I helped you
Good luck ^_^
1. Write as a mathematical equation.
The sum of a number and 5 times the number is 42.
(n + 5). n = 42
n + 5n = 42
(n + 5). n
n + 5n
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Answer:
2nd option: n + 5n = 42
Step-by-step explanation:
PLEASEEEEEEEEEEE HELPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEE
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Answer:
1.04
$45,552
Step-by-step explanation:
new price = 1.04 * original price
new price = 1.04 * 43,800
newprice: $45,552
Find the measure of LABC. (Hint: Solve for x first.)
Answers
6x+6=180
6x=174
x=29
4(29)+6=122
please help me :(
Any Maths Moderator:( please help me; I am in great trouble
Answers
Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4
Answer:
x=4
Step-by-step explanation:
[tex](2x-4)^{12}[/tex] =[tex]16^{6}[/tex]
2x-4=[tex]\sqrt[12]{16^{6} }[/tex] =4
x=4
Find the value of x.
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Answer:
10
please mark brainiest
If x÷36= -234 what is the value of x
Answers
Answer:
x =-8424
Step-by-step explanation:
x÷36= -234
Multiply each side by 36
x÷36 *36 = -234 *26
x =-8424
Answer:
x = -8424
Step-by-step explanation:
[tex]x \div 36 = -234\\\\\frac{x}{36} = -234\\\\x = -234 \times 36 = -8424[/tex]
14.) Solve for x if mZHWO
= 40", mHo is (x - 2) and
mYD is (x + 6).
x=
D
H
W
Y
Answers
Answer:
x = 38
Step-by-step explanation:
The chord- chord angle HWO is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex] (x - 2 + x + 6) = 40 ( multiply both sides by 2 to clear the fraction )
2x + 4 = 80 ( subtract 4 from both sides )
2x = 76 ( divide both sides by 2 )
x = 38
The graphs below have the same shape. f(x) = x.
What is the equation of the graph of g(x)?
A. g(x)=x^2-2
B. g(x)=(x-2)^2
C. g(x)=(x+2)^2
D. g(x)=x^2+2
Answers
Answer: D
Step-by-step explanation:
I think it’s D I’m not sure
Pls someone help me these's problem's!
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Answer:
15. a because b is being squared by a variable meaning it is exponential and goes forever, but the answer choice B is set only to 3 squared, so a is the answer.
16. D because square root of 96 MINUS square root of 54 on calculator is 2.44948974278, BUT the square root of 6 is ALSO 2.44948974278, so the answer is D or square root of 6
Step-by-step explanation:
my explanation is all on the top
Solve for xxx. Enter the solutions from least to greatest. (x + 5)^2 - 64 = 0
Answers
Answer:
x1= -13,x2=3
Step-by-step explanation:
we have
(x+5)^2 -64=0
<=>x^ 2 + 10x+ 25-64=0
<=>x^ 2+10x-39=0
<=>( x-3).(x+13)=0
Answer:
-13, 3
Step-by-step explanation:
khan
0.45 written as a common fraction, in its simplest form, is
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Answer:
920
So, 0.45=920 as a proper fraction in simplest form.
What’s the Missing Side?
PLEASEE HELPP
Answers
Answer:
missing side =19 ft
Step-by-step explanation:
area of a triangle =base *height/2
57=base*6/2
57*2=base*6
114=base*6
114/6=base
19 ft=base
simplify (5+1)2 - (12+32) /3
Answers
Answer:
-8/3
Step-by-step explanation:
(5+1)2 - (12+32) /3
(6)(2) - (44)/3
12 - 44/3
-8/3
Mrs. Kelly's brother is 15 year younger than her. Their combined ages add up to 62 years. What is Mrs. Kelly's age
Answers
Answer:
38.5 years old
Step-by-step explanation:
Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.
(Mrs.Kelly's age) + (Brother) = (62)
Substitute,
(k) + (k - 15) = 62
Simplify,
k + k - 15 = 62
2k - 15 = 62
Inverse operations,
2k - 15 = 62
2k = 77
k = 38.5
Write an equation of the line that passes through the points (3.2) and (6,11). Show your work!
Answers
Answer:
[tex]y=3x-7[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Points (3,2) and (6,11)
[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]
Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=3x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=3(3)+b\\2=9+b[/tex]
Subtract 9 from both sides
[tex]2-9=9+b-9\\-7=b[/tex]
Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:
[tex]y=3x-7[/tex]
I hope this helps!
I need help with another too! :( I will mark brainliest! You will get 30 pionts
the picture is right there too! The question is also in the picture too!
I hope you could see it clrealy!
Answers
Answer:
130°
Step-by-step explanation:
Angle 3 and 7 are the same so angle 7 is 50°
180° is the angle of a straight line so we take 50 away from 180 giving us 130°.
Hope this helps! :)
Out of the people who have already taken their seats at a seminar, 2 people have black hair while 2 people do not. Considering this data, how many of the next 16 people to take their seats should you expect to be black-haired?
Answers
Answer:8
Step-by-step explanation:
We can expect 8 of the next 16 people to have black hair, based on the given information.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Since 2 out of the total number of people who have already taken their seats at the seminar have black hair
we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.
The probability of a person having black hair can be expressed as:
P(black hair) = 2/(2+2) = 1/2
This means that out of the total number of people who have already taken their seats, half of them have black hair.
If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,
we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:
Expected value = total number of people x probability of having black hair
Expected value = 16 x (1/2)
Expected value = 8
Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
what is the range of 20,15,10,5
Answers
Answer:
15
Step-by-step explanation:
Since range is the difference between the highest valued character and the smallest
20-5=15