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
solve this equation 3(2x – 4) = 4(x + 2
Answers
Answer:
10
Step-by-step explanation:
3(2x - 4) = 4(x + 2)
6x - 12 = 4x + 8
-4x -4x
2x - 12 = 8
+12 +12
2x/2 = 20/2
x = 10
Write a fraction equal to 1 with a numerator of 18
Answers
Answer:
18/18
Step-by-step explanation:
18 divided by 18 is one
who wants to help me I need someone. who has a model test can text
me the tests by taking a picture and I will send my phone number please help me I will help u too
Answers
Answer:
what's the question.
Step-by-step explanation:
lol
Answer:
whats the question of the test
Step-by-step explanation:
PLEASE ANSWER FAST
Answer like
number 1. answer is _________________
number 2. answer is _________________
number 3. answer is _________________
number 4. answer is _________________
number 5. answer is _________________
Answers
Answer:
number 1. answer is 561%
number 2. answer is 1
number 3. answer is 7/80
number 4. answer is 31.25%
number 5. answer is 60%
Step-by-step explanation:
hope this helps!
Answer:
1. 561%
2. 1
3. 7/80
4. 31.25%
5. 6%
Step-by-step explanation:
To start off, lets learn how to convert decimals to percent's.
Converting is actually not too hard. All you need to do is multiply the decimal by 100.
So 5.61 * 100
That would be 561 and then you add a percent sign to the end.
To convert a percent to a decimal is just the opposite of what we just did. Simply divide the percent by 100.
So 100% /100
A number divided by itself is 1
So 100% = 1
To make this problem easier, you can convert the fraction to a decimal.
8 3/4 = 8.75%
Now divide it by 100
8.75/ 100
0.0875
Now just convert it back to a fraction.
0.0875 = 7/80
Convert to a decimal.
5/16 = 0.3125
Multiply by 100
31.25
add percent sign
31.25%
Last one.
Convert to decimal
3/5 = 0.6
Multiply by 100
6%
If you need help on conversions or anything else don't be afraid to reach out! I hope this helps!
I need help with the problem that is in the attached image.
Answers
Answer: c
Step-by-step explanation: i did the test
she has 3 bags of flour and 2 smaller bags with 0.75 kg and a bigger bag that ha 1.14 how much flower does she have in total
Answers
Answer:
3(1.14) + 2(0.75)
3.42 + 1.5
4.92 kg of flour
The cost of one apple and one banana at the school canteen is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana, using simultaneous equation, elimination method. Show full working out.
Answers
Answer:
I don't know
I don't know
Equation one is x+y= 1
Equation two is 3x+2y= 2.40
Because we are doing the elimination method, multiply all of equation one by 3
3x+3y=3
3x+2y=2.40
(subtract the equations from one another)
So now you have y=60 cents
So, one banana costs 60 cents
Help ???? Please it will be appreciated
Answers
consider the inequality shown.
4x+ax-14>-24
What is the highest integer value of when x=-2
Answers
Answer:22
Step-by-step explanation:
is this answer, right?
Answers
Answer:
1) Incorrect should be 35%, 2)incorrect should be 23%
Step-by-step explanation:
37 + 24 = 61 61 + 54 = 115 115 + 36 = 151 college students
1) 54 = x 2) 36 = x
151 = 100 151 = 100
151x/151 = 5400/151 151x/151 = 3600/151
x = 35.7... x = 23.8...
do not round do not round
up since you can't up since you can't
get more people get more people
Plz help!!!!!!!!!!!!!! Will give brainliest!
Answers
Answer: 2. 3x+54=132
Step-by-step explanation:
3x+54=132
-54 -54
3x/3 78/3
x=26
Answer:
1.
m<MNQ =m<P+m<Q exterior angle of a triangle is equal to the sum of two opposite interior angle
2;
132°=3x+54°
3:
132-54=3x
x=78/3
x=26°
use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.
Answers
Answer:
18. AE = 6
19. BG = 6
20. CF = 5
21. GF = 2
22. CE = 3
23. AC = 3·√5
24. A_F = 10
25. DA = 3·(√5 - 1)
Step-by-step explanation:
Whereby the point C is the center of the circle, we have;
CB = CG = CE = 3 = The radius of the circle with center at C
CE = 3
CF = √(4² + 3²) = 5 by Pythagoras' theorem
CF = 5
GF = CF - CG = 5 - 3 = 2
GF = 2
BG = CB + CG = 3 + 3 = 6
BG = 6
Whereby, BC is a tangent to the circle with center, C, we have;
A_F = √(8² + 6²) = 10 by Pythagoras' theorem
A_F = 10
AE = A_F - EF = 10 - 4 = 6
AE = 6
AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem
AC = 3·√5
DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)
DA = 3·(√5 - 1).
A solution to a linear inequality is shown below. The solution steps may not all be correct.
Solve: 4(x - 2) <6(x+3)
Step 1: 4x – 8 < 6x + 18
Step 2: -2x – 8< 18
Step 3: -2x < 26
Step 4: x>-13
Which steps in the solution follow correctly from the
previous step? Select all that are correct
(Select all that apply.)
Step 1
Step 2
Step 3
Step 4
Answers
Answer:
Step 3
Step-by-step explanation:
4x - 8 < 6x + 18
4x - 6x < 18 + 8
- 2x < 26
The steps in the solution that follows correctly from the previous steps are:
Step 1
Step 2
Step 3
Step 4
All the options are correct.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
4(x - 2) < 6(x+3)
Removing the parenthesis.
Step 1:
4x - 8 < 6x + 18
Subtracting -6x on both sides.
4x - 8 - 6x < 6x + 18 - 6x
Step 2:
-2x - 8 < 18
Add 8 on both sides.
-2x < 18 + 8
Step 3:
-2x < 26
Divide both sides by 2.
-x < 13
Multiply - on both sides.
The sign will change.
Step 4:
x > -13
We see that,
All the steps are given correctly.
Thus,
The steps in the solution that follows correctly from the previous steps are:
Step 1
Step 2
Step 3
Step 4
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
Identify any constraints on the domain
Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the laps, in minutes
Choose the correct answer below.
OA. The domain consists of all integers greater than or equal to 10 and less than or equal to 20
OB. The domain consists of all integers less than or equal to 20
OC The domain consists of all integers greater than or equal to 0
OD. The domain consists of all integers greater than or equal to 0 and less than or equal to 20
O E. The domain consists of all integers greater than 0 and less than or equal to 20
Answers
Answer:
Step-by-step explanation:
A vertical asymptote represents a value at which a rational function is undefined, so that value is not in the domain of the function. A reciprocal function cannot have values in its domain that cause the denominator to equal zero. In general, to find the domain of a rational function, we need to determine which inputs would cause division by zero.
Reagan found chips for sale at two stores. At Store A, the chips were 6 bags for $4. At store B, the chips were $6 for 4 bags. Reagan said the unit rate was 1:1.5. Which store did she find the unit rate for
PLEASE SOLVE
WILL GIVE BRANLIEST
Answers
Answer:
Store B
Step-by-step explanation:
Please mark brainliest.
Which equations are correct?
Select each correct answer.
[tex]4c^4(3c^2)=12c^8[/tex]
[tex]3b^3(−2b^4)=−6b^12[/tex]
[tex]5y^4(2y^5)=10y^9[/tex]
[tex]5x^3(6x^4)=30x^7[/tex]
Answers
9514 1404 393
Answer:
C, D
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
__
The correct equations are the last two.
For the first two, the appropriate products are ...
[tex]4c^4(3c^2)=4\cdot3c^{4+2}=12c^6\\\\3b^3(a^2b^4)=3a^2b^{3+4}=3a^2b^7[/tex]
How did immigration to the United States from Europe change between 1840 and 1850?
It decreased by half.
It decreased by a third.
It more than tripled.
It increased tenfold.
Answers
Answer:
it more than tripled
Step-by-step explanation:
I'm not sure if you need more but it requires me to type more to send the answer
Answer:
It more than tripled
Step-by-step explanation:
Right on Edge 2021
Evaluate the following expression when n = 6.
|n - 6| - |5 - n|
Answers
Answer:
-1
Step-by-step explanation:
1. Substitute n with 6 because n=6
2. Then you simply solve both sides so (6-6)-(5-6) because n=6
3.so then you get the absolute value of 0 subtracted by the absolute values of -1
4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1
5. So the final answer is -1
Sorry if this was confusing, I’m really bad at explaining. :)
Answer:
|n-6|-|5-n|
=|6-6|-|5-6|
=|0|-|-1|
=0-1
=-1
Pleaseeeee help me anyone !!!!!!!!!!!! Will mark Brianliest answer correctly
Answers
Answer:
x = 6√7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve the missing length.
Step 2: Identify Variables
Leg a = √27
Leg b = 15
Hypotenuse c = x
Step 3: Solve for x
Substitute [PT]: (√27)² + 15² = x²Exponents: 27 + 225 = x²Add: 252 = x²Isolate x: 6√7 = xRewrite: x = 6√7Help! I get 10 points
Answers
Answer:
Expression 1= 5
Expression 2 = 1 - 16
Step-by-step explanation:
What is the equation of the line that passes through the point (-2,-2) and has a
slope of 4?
Answers
Plug in point
-2 = 4(-2) + b, b = 6
Solution: y = 4x + 6
Find the value of x. Use the photo I uploaded to help plz.
A. X=2
B. X=3
C. X=33
D. X=52
Answers
find the x in the given triangle and at last do the proof...please help
Answers
Answer:
x = 42.67
Step-by-step explanation:
solve for a - due soon!
Answers
My work is shown below. I hope this helped!! ^w^
The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply.
y – 1 = (x – 2)
y – 2 = (x – 1)
y – 4 = (x – 4)
f(x) = x +
f(x) = x +
Answers
Answer:
B, C, E Is the answer on edge :3
Step-by-step explanation:
Have a good day :3
Answer:
B C E
Step-by-step explanation:
Katsuki Bakugou was here you Extras
Which of the following equations represent linear functions?
The picture will be shown
Answers
Ann received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.21 per pound. After buying the coffee, she had $45.37 left on her card. How many pounds of coffee did she buy?
Answers
Answer:
She bought 3 pound of coffee.
Step-by-step explanation:
70 - 45.37 = 24.63
24.63 ÷ 3 = 8.21
Answer:
3 pounds
Step-by-step explanation:
Shelly is hiking alongs a 20 miles trail in the mountains. She had already traveled 8 miles and is walking at 3 miles per hour. How long will it take to reach the end of the trail
Write and equation with x as the number of hours it will take to reach the end.
How many hours will it take for Shelly to reach the end of the hiking trail?
Answers
Answer:
8+3x=20
4 hours
Step-by-step explanation:
8+3x=20
3x=12
x=4
6th grade math i mark as brainliest
Answers
Answer:
30
Step-by-step explanation:
I think that's the answer
Rick has a piece of lumber that is 12 feet long. He cuts it into pieces that are each 3/4 of a foot long. How many pieces of 3/4 foot lumber will he be able to make?
Answers
Answer:
He will be able to make 16 pieces of lumber
Step-by-step explanation: