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3 years ago

What is 6.83 as a mixed number

Mathematics

2 answers:

lys-0071 [83]3 years ago

3 0

It would be 6 83/100.

SSSSS [86.1K]3 years ago

3 0

6.83 = 6 + 0.83 = 6 83/100

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The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.

AfilCa [17]

Answer

$y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49$

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

$y = A \sin(Bx + C) + D$

Where

$|A| = Amplitude$

And it is calculated as:

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

From the table:

Highest = 77 and Least = 21

So:

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

$A = \frac{1}{2}[56]$

$A = 28$

B is calculated as:

$Period = \frac{2\pi}{B}$

The period is 12 i.e. 12 months

So:

$\frac{2\pi}{B} = 12$

$B = \frac{2\pi}{12}$

$B = \frac{\pi}{6}$

C is calculated as:

$\frac{C}{B} = -4$

$C = -4 * B$

$C = -4 * \frac{\pi}{6}$

$C = -2 * \frac{\pi}{3}$

$C = -\frac{2\pi}{3}$

Lastly, D is calculated as:

$D = Least + A$

So:

$D =21 + 28$

$D=49$

So, the function is:

$y = A \sin(Bx + C) + D$

$y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49$

8 0

3 years ago

What does it mean when you have ratio and it says explain the meaning??

Readme [11.4K]

I do not knowledge m f b

6 0

3 years ago

Can someone please help me

Umnica [9.8K]

9514 1404 393

Answer:

central: XWR, VWU
inscribed: VST

Step-by-step explanation:

Point W is the center of the circle. Any angle with W as its vertex is a central angle:

angles XWR and VWU are central angles

Any angle with its vertex on the circle and rays that intersect the circle is an inscribed angle.

angle VST is an inscribed angle

7 0

3 years ago

5 ≤ - 3x- 3 ≤ 10 solve the inequality for x

kaheart [24]

Answer:

<h3> $- \frac{8}{3} \geqslant x \geqslant - \frac{13}{3}$ </h3>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

inequality
solving inequality
PEMDAS

<h3>given:</h3>

5 ≤ - 3x- 3 ≤ 10

<h3>to solve:</h3>

<h3>let's solve:</h3>

few notes about inequality

the direction of the inequality doesn't change if you

Add (or subtract) a number from both sides
Multiply (or divide) both sides by a positive number
Simplify a side

the direction of the inequality does change

if you

Multiply (or divide) both sides by a negative number
Swapping left and right hand sides

$step - 1 : difine$

$5 \leqslant - 3x - 3 \leqslant 10$

$step - 2 : \\ add \: 3 \: in \: each \: sides$

$5 + 3 \leqslant - 3x - 3 + 3 \leqslant 10 + 3$

$8 \leqslant - 3x \leqslant 13$

$step - 3 : \\ divide \: - 3\: from \: each \: sides \: \\ and \: swap \: the \: inequalily$

$\therefore - \frac{8}{3} \geqslant x \geqslant - \frac{13}{3}$

5 0

3 years ago

Diego rented a bicycle for four hours. The rental charges a flat fee of $10 and an additional fee of

skad [1K]

Answer:

Step-by-step explanation:

the initial fee is 10

he had the bike for 4 hours

1.5 x 4 = 6

6 + 10 = <em>16</em>

5 0

4 years ago