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NARA [144]
3 years ago
11

Divide the following complex numbers: (4-i)/(3+4i) ??

Mathematics
1 answer:
frez [133]3 years ago
3 0

The answer is \frac{8}{25} -i\frac{19}{25}

Steps: (<em>in the attachment</em>)↓↓↓↓↓

<em>Hope this helps!!</em>

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76 is 80% of what number
Shkiper50 [21]

Answer:

95

Step-by-step explanation:


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3 years ago
2. A park ranger is standing on the top of a 125m hill looking down at a tree. She measuring the
Orlov [11]

Answer:

Step-by-step explanation:

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4 0
3 years ago
Use the value of the first integral I to evaluate the two given integrals. I = integral^3_0 (x^3 - 4x)dx = 9/4 A. integral^3_0 (
Troyanec [42]

Answer:

A) -9/2

B) 9/4

C) -9/2, same as A)

Step-by-step explanation:

We are given that I=\int_0^3 x^3-4x dx=9/4. We use the properties of integrals to write the new integrals in terms of I.

A) \int_0^3 8x-2x^3 dx=\int_0^3 -2(x^3-4x) dx=-2\int_0^3 x^3-4x dx=-2I=-9/2. We have used that ∫cf dx=c∫f dx.

B) \int_3^0 4x - x^3 dx=-\int_0^3 (4x-x^3) dx=\int_0^3-(4x-x^3) dx=\int_0^3 x^3-4x dx=I=9/4. Here we used that reversing the limits of integration changes the sign of the integral.

C) It's the same integral in A)

4 0
3 years ago
wind resistance varies jointly as an objects surface area and velocity. if an object traveling at 55 miles per hour with a surfa
nikdorinn [45]

Answer:

25 miles per hour

Step-by-step explanation:

Given

W = Wind\ resistance

A = Surface\ Area

V = Velocity

The joint variation can be represented as:

W\ \alpha\ A*V

Where:

V = 55; A = 20; W = 220

Required

Find V,  when: A = 55; W = 275

We have:

W\ \alpha\ A*V

Express as an equation

W= k *A*V

Where k is the constant of variation

Make k the subject

k = \frac{W}{A*V}

When: V = 55; A = 20; W = 220

We have:

k = \frac{220}{20 *55 }

k = \frac{220}{1100}

k = 0.2

When: A = 55; W = 275

We have:

k = \frac{W}{A*V}

Substitute: A = 55; W = 275 and k = 0.2

0.2 = \frac{275}{55 * V}

Make V the subject

V= \frac{275}{55 * 0.2}

V= \frac{275}{11}

V= 25

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B5x%2B3%3D0" id="TexFormula1" title="2x^{2} +5x+3=0" alt="2x^{2} +5x+3=0" ali
Ira Lisetskai [31]
Exact form: -3/7
Decimal form: -0.428581
8 0
2 years ago
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