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3 years ago

What is the slope of a line that is perpendicular to the line

Mathematics

1 answer:

frosja888 [35]3 years ago

8 0

A perpendicular slope is a slope that is the negative reciprocal of the current slope. Therefore, 3.

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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

Simplify fully.<br> 4 mm ∶ 180 m ∶ 1 cm

Mandarinka [93]

Answer:

first step

convert 180m and 1 cm in mm that is 180000mm and 10mm

then

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7 0

2 years ago

1.Calcule o valor de f(5) na função f(x) = 2x –17.

mote1985 [20]

Answer:

-7

Step-by-step explanation:

Just put 5 into the equation f(5)=2*5-17=10-17=-7

Would be amazing if you marked brainliest :)

4 0

3 years ago

Add or subtract negative numbers

Naddika [18.5K]

$9+(-2)\\9-2\\=7$

$-6+(-3)\\-6-3\\=-9$

$4+(-9)\\4-9\\=-5$

5 0

3 years ago

Read 2 more answers

Jordin went shopping for strawberries at a organic foods store. He saw that 12 out of 13 strawberries were about the size of his

ivann1987 [24]

Answer:

His inference is valid.

Step-by-step explanation:

The actual percentage of 12/13 is 92.31%, which rounds to 92%.

Hope this helps!

8 0

3 years ago