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oee [108]
2 years ago
13

Please Help Me I Will Give You The Brain Thing And Extra Points.

Mathematics
1 answer:
Marta_Voda [28]2 years ago
4 0
Y = mx + b
4 = (2)(-3) + b
4 = -6 + b
10 = b

Answer is choice D
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out of 400 vehicles that passed the intersection 98 are buses what percent of the vehicles that passed and intersection are buse
Phoenix [80]
24.5%<span> of the vehicles that passed that intersection are busses.</span>
<span>-I took 98/400 and got 0.245.  To change a decimal to a percent, you multiply it by 100, so 0.245*100= 24.5%</span>
3 0
3 years ago
Given the complex number z_1=3\big(\cos \frac{14\pi}{15} +i\sin \frac{14\pi}{15}\big)z 1 ​ =3(cos 15 14π ​ +isin 15 14π ​ ) and
mars1129 [50]

The product of <em>z₁ =</em> 3 · (cos 14π/15 + i · sin 14π/15) and <em>z₂ =</em> 3 √3 · (cos 11π/15 + i · sin 11π/15) in <em>rectangular</em> form with fully simplified expressions is <em>z₁ · z₂ =</em> 7.794 - i · 13.5.

<h3>How to determine the product of two complex numbers</h3>

Let be two numbers of the form <em>z = a + i · b</em>, where <em>i =</em> √-1, the product of two of these numbers in <em>rectangular</em> form is described by the following formula:

<em>z₁ · z₂ = (a + i · b) · (c + i · d) = (a · c - b · d) + i · (a · d + b · c)</em>   (1)

If we know that a = 3 · cos 14π/15, b = 3 · sin 14π/15, c = 3√3 · cos 11π/15, d = 3√3 · sin 11π/15, then the result in rectangular form is:

<em>z₁ · z₂ =</em> 7.794 - i · 13.5

The product of <em>z₁ =</em> 3 · (cos 14π/15 + i · sin 14π/15) and <em>z₂ =</em> 3 √3 · (cos 11π/15 + i · sin 11π/15) in <em>rectangular</em> form with fully simplified expressions is <em>z₁ · z₂ =</em> 7.794 - i · 13.5. \blacksquare

<h3>Remark</h3>

The statement presents typing mistakes and is poorly formatted, the correct form is introduced below:

<em>Given the complex number z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15), express the result of z₁ · z₂ in rectangular form with fully simplified fractions and radicals.</em>

<em />

To learn more on complex numbers, we kindly invite to check this verified question: brainly.com/question/10251853

8 0
2 years ago
Question 13 options:<br><br><br> What is the slope of the line of the graph?
Elena-2011 [213]

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2)  & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}

          \sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4

3 0
2 years ago
The circumference of a circle is 20π m. What is the area, in square meters? Express your answer in terms of \piπ.
never [62]

Answer:

A≈31.83

Step-by-step explanation:

pls can i have brainliest

7 0
3 years ago
A drug company claims that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of produc
Harlamova29_29 [7]
4% of the 200 pills failed to retain full potency after 60 days.
8 0
3 years ago
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