What are the next three terms in the sequence? -112,   -129,   -146,   ___________
Explain your answer.
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okay here you goo

Answer:

are you in a rush or can i do it in like 5 mins

The characteristics of the sinusoidal function can be found from the given

graph of the function.

The sinusoidal function is the sine function that has the following general equation;

a = The amplitude

b = Angular frequency

h = The horizontal shift

k = The vertical shift

The minimum value of the sinusoidal function.

From the given graph, we have;

The amplitude, a = 2

The period, T = 10 = 2·π/b

b = π/5

The vertical shift, k = 3

The horizontal shift = 0

The minimum value of the function = k - a

Therefore;

Learn more about sinusoidal functions here:

https://brainly.com/question/6666829

Answer:

[tex]\displaystyle 1[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = 2sin\:\frac{\pi}{5}x + 3} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{\pi}{5}x + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\frac{1}{2}\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\frac{1}{2}\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\frac{1}{2}} = \frac{\frac{\pi}{2}}{\frac{\pi}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-10, 3],[/tex]from there to the y-intercept of [tex]\displaystyle [0, 3],[/tex]they are obviously approximately [tex]\displaystyle 10\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 10.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Now, the minimum value is the lowest possible value the graph touches, and in this case, the graph's lowest peaks cycle around [tex]\displaystyle y = 1,[/tex]therefore the minimum of his sinusoidal function is [tex]\displaystyle 1.[/tex]

I am delighted to assist you at any time.

Answer:

x=5.5, -5.5

you can use a calculator too

Answer:

7

Step-by-step explanation:

the coefficient is the number that is multiplied by x which in the case of 7x is 7

Hope that helps :)

Answer:

-20

Step-by-step explanation:

Answer:

It's -20F :)

Step-by-step explanation:

hsbshehehebvdhshhakakkanabsbxh

Answer:

its A cause you dont no the hourly rate he rides and it 10 dollars for the the fee and paid 34 dollars all together

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

A. The difference between the slowest and fastest is 4.238 secs

B. The team total is 55.115 secs

C. The last two swimmers took a total of 27.842 (correct)

D. The second swimmer was faster than the third by 1.767 secs

Answer:

30 cm^2

Step-by-step explanation:

3x10 = 30

Answer=

Area of this parellellogram is 32CM

Hope this helps...Bye

Don't forget to follow me

Answer:

C)

Step-by-step explanation:

because the graph has been translated 5 units to the left and one unit down, and C matches the requirements

Answer:

-6x + 19

Step-by-step explanation:

perform multiplication first.

Answer:

125.7 square inches long

Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].

Answer:

Angle CDB = 32

Step-by-step explanation:

Here, we want to find the measure of CDB

Mathematically;

angle DCB = 90

This is because angle at the center is twice the angle at the circumference

Also;

angle CAD = angle CBD = 58

This is because they are angles in the same segment

Furthermore;

CDB + 90 + 58 = 180

This is because sum of angles in a triangle is 180

CDB = 180-90-58

CDB = 32

Answer:

[tex] - 6y + 12 = - 66 \\ - 6y = - 66 - 12 \\ - 6y = - 78 \\ y = - \frac{ - 78}{ - 6} \\ y = 13[/tex]

Answer:

y = 13

Step-by-step explanation:

i just solved this now, but I'm pretty sure it's correct :)

Answer:

Step-by-step explanation:

sinC = 12/13

cosA = 12/13

Answer:

Can you show me the pattern?

Answer:

cos α = 8/17

Apply Pythagoras theorem for triangle ,

Let get unknown side of triangle is y

17^2 = 8^2 + y^2

17^2 - 8^2 =  y^2

225 = y^2

y = sqrt(225)

y = 15

tan α = 15/8

Step-by-step explanation:

Answer:

The correct answer is 8/15 on edg

no, this is false. 1 is greater than 12/20.

Answer:

No. Its not cause 20/20 is what makes ita whole 1 so if ita 12 than its not equal to 1

Answer:

okay here is the answer but no work shown

x= -16

Answer:

Step-by-step explanation:

Quadrilaterals

Square

Rectangle

Rhombus

Trapezoid

Parallelogram

Answer:

3. second

4. first

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

this is correct answer

Answer:

91

Step-by-step explanation:

Using BODMAS,

90 + (90/90)

=> 90 + 1

=> 91

Answer:

7.5km/h

Step-by-step explanation:

Given data

Distance= 15km

Time = 2 hours

We know that the expression for the speed is

Speed= distance/time

Substitute

Speed= 15/2

Speed= 7.5 km per hour

Hence the speed is 7.5km/h

Answer:

Volume of sphere = 130.9cm³

Step-by-step explanation:

Formula :

[tex] \frac{4}{3} \times \pi \: \times r^{3} [/tex]

We need the radius. 6.3 ÷2=3.15

[tex] \frac{4}{3} \times \pi \times 3.15 ^{3} [/tex]

=130.924303cm³

rounded to the nearest tenth

=130.9cm³

Answer:

chicken wing chicken wing hot dog and baloney chicken and macaroni chillen with my homie

Step-by-step explanation:

Answer:

16.5

Step-by-step explanation:

a^2 + b^2 = c^2