Amplitude of 16 units, a period of 5 units, a vertical displacement of 3 units up and a phase shift of 2.5 units left.
Answers
The question is incomplete. The complete question is :
A sine function that has an amplitude of 16 units, a period of 5 units,a vertical displacement of 3 units up and a phase shift of 2.5 units left. Graph this function and show each step.
Solution :
The standard form of the sine function is
y = a sin (bx - c) + d
Here given :
Amplitude, a = 16
Period : [tex]$\frac{2 \pi}{|b|} = 5$[/tex]
⇒ [tex]$b = \frac{2\pi}{5}$[/tex]
Phase shift : [tex]$\frac{c}{b} = 2.5$[/tex]
[tex]$\Rightarrow \frac{c}{2 \pi/5}=\frac{5}{2}$[/tex]
∴ [tex]$c = - \pi$[/tex]
The vertical displacement : d = 3 units up
Now substituting a, b, c and d values in the standard form gives :
[tex]$y = 16 \sin \left( \frac{2 \pi}{5}x -(- \pi)\right) + 3$[/tex]
[tex]$y = 16 \sin \left( \frac{2 \pi}{5}x + \pi\right) + 3$[/tex]
The graph is attached below.
Related Questions
Rewrite 12/20 with the denominator of 100
Explain how to get it
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Aubree drives 15 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go
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Please help me :(
Describe how to create an equivalent equation from an equation that has fractions or decimals. Explain how to decide what numbers to use to multiply. Also, explain any other important things to remember when using this process.
Answers
Answer:
i hope this helps :)
Step-by-step explanation:
So, with an equation with decimals, we can use the same method we used to clear fractions—multiply both sides of the equation by the least common denominator. Look at the decimals and think of the equivalent fractions. Notice, the LCD is 100. By multiplying by the LCD, we will clear the decimals from the equation.
Answer: If the equation have fractions in it, then find the LCM of all the denominators.Then multiply both side of the equation by that LCM.
If the equation has decimal, then count the maximum number of places after decimal. Then multiply by "1 and then that many zeros".
Steps: If the equation have fractions in it, then find the LCM of all the denominators.Then multiply both side of the equation by that LCM.
For example:
[tex]\frac{2}{3}x-\frac{5}{4}=\frac{1}{2}[/tex]
Here denominators are 3,4 and 2. So the LCM of them is = 12
Multiply both sides by 12.
[tex]12(\frac{2}{3}x-\frac{5}{4})=12(\frac{1}{2})\\8x-15=6[/tex]
If the equation has decimal, then count the maximum number of places after decimal. Then multiply by "1 and then that many zeros".
For example: 0.324x - 0.92 = 0.526
Here maximum number of places after decimal is = 3.
So we will multiply both sides by 1000.
1000(0.324x - 0.92) = 1000(0.526)
324x - 920 = 526
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zasxedcrfvtgbyhjffgh...
Answers
Answer:
yes?
Step-by-step explanation:
Please help me with these questions ASAP!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Answer:
For the first picture: m angle t=36 and m angle v=54
For the second picture:m angle P=55 m angle Q=81 and m angle QPR=180
Step-by-step explanation:
For the first picture, you had to do 2x+3x+90=180
We got the 90 from the right triangle.
Then you combine like terms, which was then 5x=90=180
Then, you subtract the 90 from both side, leaving 5x=90
Divide 90 by 5, which gives you x=18
For both the answers, you had to do 2(18) for T and 3(18) for V
The second picture, you did (8y + 1) + (5y + 5)= 136
You combine like terms, which levas you with 13y + 6 = 136
You subtract 6 from both sides, leaving you with 13y= 130
Divide 130 by 13, which is 10 so y=10
You then replace the y for (8y + 1) to 10 and solve
As well as for (5y + 5), you replace the y with 10 and solve
And m angle QRP is 180 because every triangle has a total of 180 degrees
Hope this helped!
Geometry... Please help and I'll mark brainliest. Triangle proofs & reasons
Answers
Answer:
See Explanation
Step-by-step explanation:
[tex]\overline{FH} \: bisects \: \angle EHG... (given) \\\\
In\: \triangle FEH \: and\:\triangle FGH\\\\
\angle FEH\cong\angle FGH.. (given) \\\\
\angle EHF\cong\angle GHF\\(\because \overline{FH} \: bisects \: \angle EHG) \\\\
\overline{FH} \cong \overline{FH}...(common)\\ \\
\therefore \triangle FEH \cong\triangle FGH(AAS \: Postulate)
[/tex]
Please only answer if you know
Answers
Answer:
A, C
Step-by-step explanation:
A.)
32 / 8 * 5.25 ----> 4 * 5.25 ----> 21
C.)
4 * 12.5 / 2----> 49 / 2 ----> 24.5
Answer:
between 20 & 30?
A & C
Step-by-step explanation:
A) 32 / 8 * 5.25 = 21
B) -18 / 6 * 9 = -27
C) 4 * 12.5 / 2 = 25
D) 12 * 4[tex]\frac{1}{3}[/tex] / -2 = -26
Josh was practicing shooting basketballs. He decided to play a game where for every basket he gets in he earns 3 points but for every basket he misses he loses 1 point.
a) Write an expression for his total
b) John got 7 baskets in and missed 8. Using your expression find joshs total.
Answers
Answer:
3p-1p
Step-by-step explanati
Plss help I’ll mark brainlist
Answers
Answer:
If it's 16, then it's -4 > x
Step-by-step explanation:
Ignore the inequality sign first and solve 12 = -3x
This would equal -4 = x
Now, when you divide or multiply both sides by a negative, you have to change the inequality sign so you change it from -4 > x to -4 < x
70% off
original price!
Abdul wants to buy a cat calendar. The original price is $5.30. What is the sale price?
I need this worked out please
Answers
Answer:
the price with the offer is going to be 1.59$
Step-by-step explanation:
[tex] \frac{x}{5.30} = \frac{70}{100} [/tex]
[tex]100(x) = 70(5.30)[/tex]
[tex]100(x) = 371[/tex]
[tex] \frac{100(x)}{100} = \frac{371}{100} [/tex]
[tex]x = 3.71[/tex]
[tex]70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71[/tex]
[tex]5.30 - 3.71 = 1.59[/tex]
PLEASE PLEASE HELP ME I REALLY NEED HELP
Answers
Answer:
(a) yes it does
(b) the rate is constant because the rate of change (slope) is the same throughout the function.
(c) The rate, or rate of change, is -1/2.
y1 - y2/x1-x2
4 - 2/3 - 9
2/-6
-1/2
please help me with this I will name branlist
Answers
Answer:
IT's -3.6 & 14.4 so D is the correct answer
Step-by-step explanation:
x= -3.6 y= 14.4
HOW I SOLVED IT
-3.6 x 3 = -10.8 2 x 14.4 = 28.8 - 10.8 = 18 so correct since it must equal to 18
-2/3 x -3.6 =2.4 + 12 = 14.4 so correct since y = 14.4
Brainilest would be appreciated :)
What is the value of x?
Enter your answer in the box
Answers
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
I will give brainliest! In the figure, the circle has a center O and has a radius of 10. If the length of arc AB is between 5 and 6, what is one possible integer value of x?
Answers
Answer:
any integer in between 29,30,31,32,33,34 will work.
Consider the enlarged triangle.
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
Which steps should be used to find the perimeter? Check all that apply.
Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.
Answers
Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2
Calculate the perimeter of the original figure.
Multiply the perimeter of the original figure by the scale factor.
Step-by-step explanation:
A, C, D
The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.
What is Scale Factor?Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given that,
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
First find the scale factor.
Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2
Now, find the perimeter of the original figure.
Perimeter of the original figure = 4 + 5 + 3 = 12
Now.
Perimeter of enlarged figure = Scale factor × Perimeter of original figure
= 2 × 12
= 24
Hence the correct steps are first, third and last step.
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Which sequence of transformations will map figure Q onto figure Q′?
Two congruent quadrilaterals are shown on a coordinate plane; quadrilateral Q with coordinates negative 9 comma 2, negative 6 comma 4, negative 4 comma 4, and negative 2 comma 2; quadrilateral Q prime with coordinates 2 comma 2, 4 comma 4, 6 comma 4, and 9 comma 2.
A) Translation of (x, y + 2), reflection over x = 1, and 180° rotation about the origin
B) Translation of (x, y − 2), reflection over x = 1, and 180° rotation about the origin
C) Translation of (x, y − 2), reflection over y = 1, and 180° rotation about the origin
D) Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin
Answers
Answer:
Which sequence of transformations will map figure Q onto figure Q′?
Its D.Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin
Step-by-step explanation:
The sequence of transformations that will map figure Q onto figure Q′ : 'Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin.'
The correct answer is option (D)
What is translation?"It is a geometric transformation in which the displacement of a figure from one place to another."
What is reflection?"It is a geometric transformation where all the points of an object are reflected on the line of reflection."
What is rotation?"It is a transformation in which the object is rotated about a fixed point."
For given question,
Quadrilateral Q with coordinates (-9, 2) ,(-6, 4) ,(- 4, 4) , and (-2, 2) Quadrilateral Q' with coordinates (2, 2), (4, 4), (6, 4), and (9, 2)
Consider a point (-4, 4) of quadrilateral Q. If we reflect Q over x = 1, then it would push the x coordinate of (-4, 4) to new x value 5 units to the right of x = 1, which is x = 6, and 180 rotation would make x = -6 But x = -6 is not in Q' . So it must be reflection over y = 1.Consider the transformations at option C, First translate to (x, y - 2) So, the translation of (-4,4) becomes (-4, 2), reflection over y = 1 gives (-4, 4), and 180° rotation about origin gives (4, -4) which is not the coordinate of Q'Now, consider the translation of (x, y + 2) So, the translation of (-4, 4) becomes (-4, 6), reflection over y = 1 gives (-4, -4), and 180° rotation about origin gives (4, 4) which is the coordinate of Q'Therefore, the sequence of transformations that will map figure Q onto figure Q′ : 'Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin'
The correct answer is option (D)
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Matt gets $0.10 every 2 days
How much does he get in 6 days?
Answers
Answer:
$0.30
Step-by-step explanation:
2 days = $0.10
6 days = [tex]\frac{6}{2}[/tex] × $0.10
= $0.30
Question 13) Olivia has read 143 pages of a 220 page novel. What
percentage of the book does she still need to read? *
Answers
Answer:
77%
Step-by-step explanation:
Answer:
The answer to Question 13 is 35%.
Step-by-step explanation:
Subtract 143 from 220, which will give you 77. Then, you take that 77 and search, "77 out of 220" in Google. You should get 35 and just put the percentage symbol. Olivia still needs to read 35% of the 220 page book:).
Which of the following numbers is irrational?
A) 6.124
B) √7
C) √0.25
D) 0.12¯¯¯¯
Answers
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Walter is planning to invest in a savings account which pays annual interest compounded monthly. His projected account balance after
tyears is given by the expression below.
3,570(1 + 0.03/12)^12t
Which of the following statements best describes the expression?
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Answer:
b
Step-by-step explanation:
2 The triangle and the rectangle shown below have equal perimeters. Find the measures of the side lengths of the triangle. (Figures not drawn to scale) 4(x-1) *+8 3x-1 5x +
Answers
Answer:
180
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.When side lengths are given, add them together.
Solve for a missing side using the Pythagorean theorem.
If we know side-angle-side information, solve for the missing side using the Law of Cosines.
Helppppp pleazeee!!!
Answers
Answer:
wooo
Step-by-step explanation:
two boats leave a ramp traveling in opposite directions. The second boat is 10 miles per hour faster than the first. After 3 hours they are 150 miles apart. Find the speeds of the boats.
Answers
Answer:
220 mph ; 230 mph
Step-by-step explanation:
Given that :
Speed of First boat = x
Speed of Second boat = y
y = (10 + x) mph
Distance apart after 3 hours = 150 miles
Speed of the boats :
Speed / time = distance
First boat distance = x / 3
Second boat distance = (10+x) /3
x/3 + (10+x)/3 = 150
x + 10 + x = 150 * 3
2x + 10 = 450
2x = 450 - 10
2x = 440
x = 220 mph
Speed of second boat = 220 + 10 = 230 mph
Will give crown help
Answers
Answer:
n x 5
Step-by-step explanation:
The pattern is to multiply each number by 5 so multiplying n by 5 will get you the expression n x 5.
Hope that helps
what is y<-x+5 and y≤ 2x-1??
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The pair of inequalities is graphed in the attachment.
The first inequality graphs as a shaded area below the dashed line y=-x+5.
The second inequality graphs as a shaded area below the solid line y=2x-1.
The solution set is the doubly-shaded area below the point where the lines intersect.
What percent of the rectangle below is shaded (hint think about the fraction or ratio of
shaded to total)?
33%
40%
67%
25%
Answers
what is the answer to this one need asap
Answers
The correct answer is 18.
Hope this helps!!
Brainliest?
1 yard = 3 feet
6 yards 2 feet = how much feet is 6 yards and 2 feet ?
HELP ASAP
Answers
Answer: 20
Step-by-step explanation: 3 feet in 1 yard, there are 6 yards.
6 x 3 = 18 feet plus the 2 extra = 20 feet
which of the equations below has a slope of 1/4
Answers
Answer:
uh you didnt put the picture please put the picture i really want to help you:)
Step-by-step explanation:
Answer:
bra
Step-by-step explanation:
what is it???????????
Answers
Answer:
4/5
Step-by-step explanation:
The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.
Answer:
slope = 4/5
Step-by-step explanation:
The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines
y value - y value over x value - x value
Points: (-2,0) and (3,4)
4-0 = 4
3-(-2) = 5
4/5