What is the amplitude of the function? Identify the amplitude of a periodic function from its graph. 4 3 2 1

Answers

Answer 1

The amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function(refer to attached picture)

We know the amplitude of the function is given by:

[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |max \ f -min \ f|[/tex]

As we can see in the graph the maximum value is 0 and

the minimum value of a function is -4, thus the amplitude

[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |0 -(-4)|[/tex]

The amplitude of f = 2

Thus, the amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.

Learn more about the function here:

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What Is The Amplitude Of The Function? Identify The Amplitude Of A Periodic Function From Its Graph.

Related Questions

A sample of students is taken from the school's A honor roll. The school estimates that there are 360 students on the A honor roll. Using this sample how many students on the A honor roll are 8th graders. There are 14 8th graders on the A honor roll.

Answers

Answer:

Number of 7th grade = 360 - X

Step-by-step explanation:

As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from &th grade. As we know: Total number of students on the A honor roll = 360 We are asked to calculate, number of students from 7th grade on the A honor roll. So, let's assume that "X" represents the all the students who are on the A honor roll except 7th grade. Mathematical Expression: Number of 7th Graders = Total number of students on the A honor roll - X Number of 7th Graders = 360 - X So, if you know the value of X, you can easily calculate the number of students which are from 7th grade on the A honor roll.

Answer:

There are 126 8th grade A honor roll students.

Step-by-step explanation:

Since there are 14 8th grade A honor roll students out of 40 A honor roll students. That means that the fraction is 14/40. After that we do 14/40x360 which results in 126.

6=sqrt x^2+3-x
steps included please

Answers

Answer:

-3/2

Step-by-step explanation:

6=|x|+3-x

move the terms

-|x|+x=3-6

-|x|+x=-3

-x+x=-3 , x > 0 (put a line under >)

-(-x)+x=-3 , x < 0

-3/2 , x < 0 find the intersection

x= -3/2

if you dont want it as a fraction you can do -1.5 in decimal form

Help please!!!!! Asap!!!

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{3}[/tex] =1.73205 In between 1 and 2 closer to 2

[tex]\sqrt{8}[/tex]=2.82842  In between 2 and 3 closer to 3

[tex]\sqrt{23}[/tex]=4.7958  In between 4 and 5 closer to 5

Solve: (x + 4)2 – 4 = 16
O x= - 4+2V5
O
O x= – 4 + 20
O x= 4 + V20
O x= +4

Answers

Answer:

[tex] {x} = - 4 \pm \: 2\sqrt{5} [/tex]

Step-by-step explanation:

[tex] {(x + 4)}^{2} - 4 = 16 \\ \\ \implies \: {(x + 4)}^{2} = 16 + 4 \\ \\ \implies \: {(x + 4)}^{2} = 20 \\ \\ \implies \: {(x + 4)} = \pm \: \sqrt{20} \\ \\ \implies \: {x + 4} = \pm \: 2\sqrt{5} \\ \\ \implies \: {x} = - 4 \pm \: 2\sqrt{5} [/tex]

Can someone help me please?

Answers

the answer is 12/15. 4/5 4x3= 12 and 5x3= 15

Emily recently started a part time job. She is saving for a car, which she will need when she attends college next year. She plans to deposit $400 at the end of each month into an account that 3.6% per year, compounded monthly . How much will Emily have saved at the end of six months? pays​

Answers

Answer:

  $2418.07

Step-by-step explanation:

Problems involving the time-value of money are conveniently solved using a TVM app on a suitable calculator or spreadsheet. The result of doing that is shown in the attachment.

__

If you would like to compute the value of Emily's account by hand, the annuity formula is the one you want.

  A = Pn((1 +r/n)^(nt) -1)/r . . . . where r is the annual interest rate, n is the number of times per year it is compounded (12), t is the number of years (1/2), and P is the periodic payment into the acccount (400).

Using the given values in the formula, we have ...

  A = 400(12)((1 +0.036/12)^(12/2) -1)/0.036 = 4800×(1.003^6 -1)/0.036

  A ≈ 2418.07

At the end of 6 months, Emily will have saved $2418.07.


Help please I have a d in this class

Answers

Answer:

2. Elana's Family. Elana's Family.

3. 8 minutes 4 seconds

4. Elena's family will have driven 2.76 miles while Andre's family will have driven which is farther.

Step-by-step explanation:

Order from least to greatest the given numbers.
-5,13,4,-10,-1
A)
-5,-1,-10,4,13
B)
-10, 4, 13,-1,-5
C)
-10,-5, -1, 4, 13
D)
-5, -10,-1, 13,4

Answers

Answer:

Option C) is correct......

What is the image point of (3,8)(3,8) after a translation right 4 units and up 1 unit?

Answers

the answer is gonna be (7,9)

Answer:

The point [tex](3,8)[/tex] will transform into [tex](7,9)[/tex]

Step-by-step explanation:

When you move the unit right, you make the number larger. right and left deal with the X value. you add 4 to 3, and you get 7. Now you move 1 point up, which is just 8+1, which is 9. You get your answer, [tex](7,9)[/tex].

Hope This Helps! :)

A grocery store sells a bag of 6 oranges for $3.24. How much does one orange cost

Answers

3.24 divided by 6
The answer is 54 cents per orange

y=x^2-6x+7 write equation in vertex form

Answers

Answer:

y=(x−3)2−2

Step-by-step explanation:

The vertex form of a quadratic function isy=x^2-6x+7 , where x, y, are constants. of the parabola is at (x, y).

find the sum of the fractions below. 5/8 + 1/n = 7/8 A. 3 B. 3 5/12 C. 3 4/9 D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

1) Subtract 5/8 from both sides.

1/n = 7/8 - 5/8

2) Simplify 7/8 - 5/8 to 1/4.

1/n = 1/4

3) Multiply both sides by n.

1 = 1/4n
4) Simplify 1/4n to n/4.

1 = n/4

5) Multiply both sides by 4.

1 * 4 = n

6) Simplify 1 * 4 to 4.

4 = n

7) Switch sides.

n = 4

Check Answer:

5/8 + 1/n = 7/8

1) Let n = 4.

5/8 + 1/4 = 7/8

2) Simplify 5/8 + 1/4 to 7/8.

7/8 = 7/8

Five members of a mystery-book club each read a 1,296-page book. Nine members of a fantasy-book club each read a 398-page book. How many more pages did the mystery-book club read than the fantasy-book club? Select all the correct equations or set of equations that could be used to solve the problem.

Answers

Answer:

2898

Step-by-step explanation:

number of people * number of pages in each book they read =total

mystery bookclub:

5 * 1,296 = 6480

fantasy bookclub:

9 * 398 = 3582

mystery - fantasy = difference in books between the two groups

6480 - 3582 = 2898

possible equation:

(1296 x 5) - (398 x 9) = x

x = answer

Answer:

Step-by-step explanation:

hey i got a couple (10) calculus questions in my profile and im pretty desperate right now

can u pls help

Which of the following numbers must be added to complete the square in the equation below? x^2 +16x=5 27
O A. 64
O B. 25
O C. 16
O D. 8​

Answers

Answer:

A) 64

Step-by-step explanation:

16/2=8

8^2= 64

x^2 +16x +64= 69

(x +8)^2= 69

Directions: Match each image of a ray with the correct way to write it.

Answers

Answer:

1 + G = Push in p To Much P

Step-by-step explanation:

g= gunnaaa 1+gunnaaa = push  ing P

M log_5(8) rewrite to log _?(?)

Answers

Answer:

[tex]\log_5 8^{M}[/tex]

Step-by-step explanation:

[tex]\text{We know that,}~ b\log_a c = \log_a c^b[/tex]

what's the estimate of 6.48 + 9.34 and what's the estimate 15.71 + 12.2

Answers

Answer:

Your Estimated Equations and Answers: 6+9= 15 ; 16+12 = 28

Step-by-step explanation:

Estimating can be equivalent to rounding. This is because you're trying to find an approximate number or sum.

6.48 + 9.34 is your first question.

You should round it to the nearest whole number.

6.48 ~ 6 and 9.34 ~ 9

*Rounding rules applied here*

(~ this sign is the approximate or rounded to symbol)

Now, do 6+9 =

6+9= 15

______________________________________________

15.71 + 12.2 is your next question.


Same as last, round to the nearest whole number.

15.71 ~ 16 and 12.2 ~ 12

Now, do 16+12

16+12 = 28

A b c d or e what one will give brainlest

Answers

D! i’m not fully sure but it looks more reasonable

Please help me with this math problem

Answers

Answer:

P1:40% P2:47500 P3:10%

Step-by-step explanation:

2/5 = 0.4 =40%

5/8= .625

.625 x 76000 =

47500

Find
a
and
d
for an arithmetic sequence where the 5th term is 10 and the 6th term is 8.

Answers

Answer:

Step-by-step explanation:

Arithmetic sequence:

[tex]\boxed{a_n =a + (n-1)*d)}[/tex]

a₅ = 10    a + 4d = 10

a₆ = 8     a + 5d = 8

Multiply the equation (I) by (-1) and then add. 'a' will be eliminated and we can find the value of 'd'

(I)*(-1)     -a - 4d = -10

(II)          a + 5d = 8     {Now add}

                     d = -2

Substitute d = -2 in equation (I)

 a + 4*(-2) = 10

 a -  8       = 10

           a   = 10 + 8

a =  18

a = 18 , d = -2

Sequence:  18 ,16 , 14 , 12 , 10 , ......

Jason opened the triangular pyramid-shaped box to cover it with wrapping paper. How much wrapping paper will he need?

Answers

Answer:

How might the situation lead to bullying?

Step-by-step explanation:

How might the situation lead to bullying?

the answer B

How much greater is 16x² + 7x + 5 than-18x² - 13x + 8?​

Answers

Answer:

34x² + 20x - 3

Step-by-step explanation:

Given

1st Polynomial : 16x² + 7x + 52nd Polynomial : -18x² - 13x + 8

We need to subtract the 2nd polynomial from the 1st.

16x² + 7x + 5 - [-18x² - 13x + 8]16x² + 7x + 5 + 18x² + 13x - 834x² + 20x - 3

The table shows the results of a survey on the preferred flavor of ice cream. Based on this survey, what is the probability that an adult prefers chocolate ice cream?

A) 55/52
B) 55/54
C) 55/107
D) 55/119

Answers

Answer:

d

Step-by-step explanation:

cause this means that it is rise over run

PLEASE HURRY DUE TODAY
3. Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 4 ft^2 and the prism stands 2.4 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 32 ft^2. (a) Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping. How much roping does he purchase? (b) Leo plans to add gold leaf to the sides of the stand but not to the two bases. What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number​

Answers

Answer A: 45 5/16

B: The present of the area as 83%

Step-by-step explanation:

(a)

35= 3+3+3.2x+3.2x+3.2x+3.2x

35= 6 + 12.8

29/12.8 +12.8x/12.8

X=2.265625 = 2/12/64

1x = 2 17/64 * 4 + 9 1/16

P = 45 5/16

(b)

The present of the area as 83%

35 – the bases or 6 = 29

29/35 + 0.82857142857

0.82857142857 * 100 = 82.8571428571

Rounded to the nearest whole number is 83%

When you multiply a whole number by 10 to the 5th power , will there always be the same number of
zeros before the decimal point as in your answer to Part A? Explain your reasoning.
Answer:

Answers

Answer:

Step-by-step explanation:

a whole number can be ANY counting number

10 to the 5th power =  × 10 × 10 × 10 × 10 × 10

when you multiply by any positive power of ten, you are making it really big

23 × 10 × 10 × 10 × 10 × 10 = 2,300,000

30 × 10 × 10 × 10 × 10 × 10 = 3,000,000

100 × 10 × 10 × 10 × 10 × 10 = 10,000,000

the pattern is the whole number followed by 5 zeros that show 5 place values

Megan wants to buy a designer handbag and plans to earn the money from babysitting. Suppose the interest rate is 8% and she is willing to wait one year to purchase the bag. How much babysitting money will she need to earn today to buy the bag for $400 one year from now? (Enter just the number in dollars without the $ sign or a comma and round off decimals to the closest integer, i.e., rounding $30.49 down to $30 and rounding $30.50 up to $31.)

Answers

Answer:

370

Step-by-step explanation:

FV = PV ( 1 + i)      i = interst in decimal

400 = PV ( 1.08)

PV = 400 / 1.08 =

PLEASE HELP ME ON THIS

Answers

Answer:

About 154 Square

Explanation:

To find an area of a circle you multiply pi by the radius squared so 7² = 49 and 49 x 3.14 = 153.86 which is the closest to 154.

What is the inverse of f(x)=3-x/7

Answers

Answer:

I got f^-1 (x) = -7x + 21

Step-by-step explanation:


Dr. Weinstein took 50 ounces of a 20% silver
alloy and mixed it with a 40% silver alloy to get
a 30% silver alloy. How many ounces of the 40%
silver alloy did he use?

Answers

Answer:

I think it is 100

Answer:

Step-by-step explanation:

The answer is 50 ounces

Because 30% silver is right in between 20% silver and 40% silver, it would have to be the same amount to be 30%

Find the circumcenter of the triangle with vertices at A(2,4),
B(8, 4), and C(6, 10).

Answers

i believe the answer is (5, 6.333)
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