Mathematics High School

The curve above the graph of a sinusoidal function. It goes through the points (-11,0) and (3,0). Find a sinusoidal function that matches the given graph.if needed you can enter pi=3.1416… as pi in your answer otherwise use at least 3 decimal digits.
F(x)=

Answers

Answer 1

Considering the zeros, the graph for the sinusoidal function is:

[tex]F(x) = \sin{\frac{\pi}{7}(x-3)}[/tex]

The zeros given for the function are: [tex]x = -11, x = 3[/tex].For practicality, we are going to define a sine function, which has a zero at x = 0, so we use shifting.

The sine function is given by:

[tex]F(x) = A\sin{Bx}[/tex]

In which:

The amplitude is A.The period is [tex]T = \frac{2\pi}{B}[/tex].

In this problem:

We suppose an amplitude of 1, thus [tex]A = 1[/tex].The difference between the zeros is 14, so we use a period of 14, thus [tex]T = 14[/tex], and:

[tex]\frac{2\pi}{B} = 14[/tex]

[tex]B = \frac{2\pi}{14}[/tex]

[tex]B = \frac{\pi}{7}[/tex]

Thus:

[tex]F(x) = \sin{\frac{\pi}{7}x}[/tex]

Like this, the zeros are at [tex]x = -14[/tex] and [tex]x = 0[/tex]. We want it at [tex]x = -11, x = 3[/tex], thus, we shift the function 3 units to the right, that is, the function is:

[tex]F(x) = \sin{\frac{\pi}{7}(x-3)}[/tex]

The graph is sketched at the end of this answer, and has the desired behavior, which are points (-11,0) and (3,0).

A similar problem is given at https://brainly.com/question/22136310

The Curve Above The Graph Of A Sinusoidal Function. It Goes Through The Points (-11,0) And (3,0). Find

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Answer to the second question.

9

Step-by-step explanation:

3⁴ simply means 3×3×3×3=81

3² 3×3=9

81/9=9

Val started watching a live video on social media. The equation Y + 20 = 120(X + 1) represents Y, the total number of people watching the video as a function of X, the number of minutes since Val started watching.

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Answer:

y = 120x + 100

x = y/120 - 5/6

Step-by-step explanation:

Consider the function f(x) = -2/3x +6 What is the y-intercept of f^-1(x)

O -6
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Answer: -2/3 x (x-9)

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Answer: 36 and 28

Step-by-step explanation:

x + x+2 = 74

2x = 72

x1 = 36

x2 = 28

A company is downsizing its employees by 11%. If the company has 200 employees how many staff members are left?

Answers

Answer:

178

Step-by-step explanation:

200*11%

200*.11

22 employees will leave

200-22 = 178 left

moniquemfv
me responde prv
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Que?

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Answer:b

Step-by-step explanation:

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Surface area of the triangular prism is :

[tex] {(13 \times 6) + (5 \times 6) + (12 \times 6) + 2 \times \bigg( \dfrac{1}{2} \times 12 \times 5 \bigg)}[/tex]

[tex]78 + 30 + 72 + 2 (30)[/tex]

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Bernie and his friends recorded how much they grew since the beginning of the school year.
Height increase
What is the average amount that the students grew?
Write your answer as a fraction, mixed number, or whole number.

Answers

Answer:

12 feet

Step-by-step explanation:

lxw

fill in the blanks with <,>,= symbols( -3)+(-19)+6...................(-41)-15+9​

Answers

First we will simplify both equations....#1

[tex]( - 3) + ( - 19) + 6 \\ - 3 + ( - 19) + 6 \\ - 3 - 19 + 6 \\ = - 16[/tex]

#2

[tex]( - 41) - 15 + 9 \\ - 41 - 15 + 9 \\ = - 47[/tex]

Now,

[tex] - 16 > - 47[/tex]

How?

When the number is in negative the smaller number is greater than the greater number.

Answer:

(-3)+(-19)+6 [>] (-41)-15+9

Step-by-step explanation:

(-3)+(-19)+6= -16

and

(-41)-15+9= -47

so, -16 is greater than -47

An angle measures 68° less than the measure of its complementary angle. What is the measure of each angle?

Answers

90-68 =22
The answer is 22 degrees and 68 degrees

A teacher receives a monthly salary of $2800.00 What is her annual salary?​

Answers

Answer:

$33,600

Step-by-step explanation:

2,800 x 12

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Answer:

49

Step-by-step explanation:

1/7^-2 is equal to 7^-2*-1 making it 7^2 which is equal to 49.

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Answer: 24

Step-by-step explanation:

Let the total number of problems be x.

After 15 minutes, [tex]x-\frac{1}{4}x=\frac{3}{4}x[/tex] problems are left.

After another 15 minutes, [tex]\frac{3}{4}x\left(1-\frac{1}{3})=\frac{3}{4}x\left(\frac{2}{3} \right)=\frac{1}{2}x[/tex] problems are left.

This is equal to 12, meaning x = 24.

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Answer:

well I think it is none of these because the square root would be 9^2

Step-by-step explanation:

Answer:

9^2

Step-by-step explanation

if the are is 81 then you have to think for th numbers like if the are was 20

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Answer:

23

Step-by-step explanation:

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x = 23

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180=x+157 (subtract 157 from both sides)
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Suppose that the water level of a river is 50 feet and that it is receding at a rate of 0.75 foot
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Answers

Y=-0.75x+50

Now put in 30 for y:
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Answer:

some advantages is that you can not pay all at once some disadvantage is that you can feel like you can. do that always then you can get late fees that can cost more the the product it self

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Answers

Solution:

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Answer:

(C) 7+2√10

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Answers

Answer:

648

Step-by-step explanation:

36/45=0.8

810x0.8=648

Show that the equation x^3 + 6x - 5 = 0 has a solution between x = 0 and x=1

Answers

Answer:

Step-by-step explanation:

Solve the equation for 0 and 1:

x^3 + 6x -5

Replace x with 0:

0^3 + 6(0) -5 = -5

Replace x with 1:

1^3 + 6(1) -5 = 1+6 -5 = 2

Because the value of f(0) is negative and the value of f(1) is positive then there is at least one value of x between 0 and 1 that f(x) = 0

Please someone help best answer gets brainleist

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The answer would be A
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~ = not
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Two positive numbers have a difference of 8. The larger number is two more than twice the smaller. Find the two numbers

Answers

Answer:   6 & 14

Step-by-step explanation:

Let the bigger number be 'p' and the smaller number 'p'.

Since the numbers have a difference of 8, then  p - q = 8

& since the larger number is two more than twice the smaller, then

                                                                                                        p = 2q + 2

⇒   (2q + 2) - q = 8                       [by substituting for equation for p]

                     q = 6

Since q = 6,

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Answers

Answer:

Answer:

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Step-by-step explanation:

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Answers

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Answers

abc/cba/bca

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Answers

Answer:  0.615

Step-by-step explanation:

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8

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16

Answers

Answer:

B) 12

Step-by-step explanation:

Hope I helped!

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Answers

Step-by-step explanation:

so, if the text is correct, the 2 points are

(2, 3) and (-3, 15).

the length of the line segment is the distance between both points.

did this we use Pythagoras for right-angled triangles.

c² = a² + b²

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