write an EQUATION that represents what is seen in the figure and then find the value of x.

Answer

[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

[tex]y = A \sin(Bx + C) + D[/tex]

Where

[tex]|A| = Amplitude[/tex]

And it is calculated as:

[tex]A = \frac{1}{2}[Highest - Least][/tex]

From the table:

Highest = 77 and Least = 21

So:

[tex]A = \frac{1}{2}[77 - 21][/tex]

[tex]A = \frac{1}{2}[56][/tex]

[tex]A = 28[/tex]

B is calculated as:

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

The period is 12 i.e. 12 months

So:

[tex]\frac{2\pi}{B} = 12[/tex]

[tex]B = \frac{2\pi}{12}[/tex]

[tex]B = \frac{\pi}{6}[/tex]

C is calculated as:

[tex]\frac{C}{B} = -4[/tex]

[tex]C = -4 * B[/tex]

[tex]C = -4 * \frac{\pi}{6}[/tex]

[tex]C = -2 * \frac{\pi}{3}[/tex]

[tex]C = -\frac{2\pi}{3}[/tex]

Lastly, D is calculated as:

[tex]D = Least + A[/tex]

So:

[tex]D =21 + 28[/tex]

[tex]D=49[/tex]

So, the function is:

[tex]y = A \sin(Bx + C) + D[/tex]

[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]

Answer:

y=28 sin (pi/6 t - 7pi/6)+49

Step-by-step explanation:

Answer:

the last one i think

Step-by-step explanation:

Answer:

Mr. Roberts runs 2,255 more feet then Ms. Smith.

Step-by-step explanation:

So I took 5,280 + 5,280 = 10,560 so now I can just take Ms. Smith's 8,305 and subtract it from 10,560 which gave me 2,255 so Mr. Roberts runs 2,255 more feet then Ms. Smith.

Answer:

the answer should be 6 cm

Step-by-step explanation:

I believe that is it

Answer:

1) 3n = 15

Step-by-step explanation:

Answer:

(- 2, 1 ) and (1, 4 )

Step-by-step explanation:

Given the 2 equations

y = - x² + 5 → (1)

- x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by adding x to both sides

y = x + 3 → (3)

Substitute y = x + 3 into (1)

x + 3 = - x² + 5 ( subtract - x² + 5 from both sides )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Substitute these values into (3) for corresponding values of y

x = - 2 : y = - 2 + 3 = 1 ⇒ (- 2, 1 )

x = 1 : y = 1 + 3 = 4 ⇒ (1, 4 )

Step-by-step explanation:

its a false equasion x € R

Answer:

.22/63

Step-by-step explanation:

area = pi x R^2

A=22/7 * 1/3^2

Answer:

-18

Step-by-step explanation:

2b-3ac

2(3)-3(4×2)

6-3(8)

6-24

-18

Answer:

7

Step-by-step explanation:

Given the expression

cos(3x-30°)=sin(7x+50°)

In trigonometry cosx = sin(90-x)

Hence

Cos(3x-30) = sin(90-(3x-30))

Cos (3x-30) = sin(90-3x+30)

Cos (3x-30) = sin(120-3x)

Substitute into the expression above

Sin(120-3x) = sin(7x+50)

120-3x = 7x+50

Collect like terms

-3x-7x = 50-120

-10x = -70.

x = 70/10

x = 7

Hence the value of x is 7

Answer:

I did not understand anything

Answer:

For question 4 you would have 1560000. For question 5 you would have 660000

Step-by-step explanation:

Answer:

21) B. (5,45)

22) B. As the temperature decreases, hot chocolate sales increase.

Answer:

https://www.calculatorsoup.com/calculators/geometry-plane/polygon.php

that might help

Step-by-step explanation:

Answer:

Step-by-step explanation:

I know that the two means are are 11.28 and 12.

I could be wrong but I did the math 5 times.

Answer:

the other guy is correct

Step-by-step explanation:

Answer:

A. 2x + 3y = -6

Step-by-step explanation:

[tex](-3,0) (0,-2)[/tex]

[tex]slope:\frac{-2-0}{0+3} =\frac{-2}{3}[/tex]

[tex]y-0=\frac{-2}{3} (x+3)[/tex]

[tex]3y=-2x-6[/tex]

[tex]3y+2x+6=0[/tex]

[tex]2x+3y=-6[/tex]

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hope it helps...

have a great day!!

Answer:

14: slope is 20

15: 5

Step-by-step explanation:

Answer:

its 56 units square.

Step-by-step explanation:

(count the tiles in the shaded figure, you'll get the area)

Answer:

24

Step-by-step explanation:

8 percent of 300 is 24.

that should be right

Answer:

$24

Step-by-step explanation:

The tax is how much more you have to pay based on a percentage of the initial cost. The tax percent in this case is 8%. Since the console costs $300, we take 8% of $300 and charge it as the tax.

$300 * 8% = $300 * 0.08 = $24

If done by hand,  move the decimal place on 0.08 to the left 2 times

0.08

00.8

008

This will give you 8. Multiply 8 by $300 which will give you $2400, next move the decimal to the right 2 times.

$2400.

$240.0

$24.00

Now you have $24

Answer:

y=-3+15

Step-by-step explanation:

Answer:

482895ft^2

Step-by-step explanation:

Given data

Width= 657ft

Length= 735ft

We know that area A

A= Length* Width

A=657*735

A= 482895ft^2

Hence the area is 482895ft^2

Answer:

e - 3 = 15

or if you're looking for the answer to the problem

18

Step-by-step explanation:

Answer:

Step

1 | Translate △DEF 7 units up.

2 | Translate △DEF 6 units to the left.

This is word by word so you may want to change it up a bit. Have a great day.

Step-by-step explanation: On PLATO, you may provide and record fewer steps. The answer will vary but may resemble an answer based off the mapping of △DEF to △ABC.

Answer:

Step-by-step explanation: