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MakcuM [25]
2 years ago
15

Pls help.question attached.

Mathematics
1 answer:
Svet_ta [14]2 years ago
8 0

Answer:

-1. is -3/7

Step-by-step explanation:

6×-4/11*7 ÷ (4/3×6/11)

-24/11×7 ÷ (4/3×6/11)

-24/77 ÷ (4/3×6/11)

-24/77 ÷ (24/3×11)

-24/77 ÷ 24/33

-24/77 × 33/24

-1/77 × 33

-33/77

-3/7

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What are the fourth roots of 6+6√(3i) ?
Helen [10]

Answer:

Step-by-step explanation:

The genral form of a complex number in rectangular plane is expressed as z = x+iy

In polar coordinate, z =rcos ∅+irsin∅ where;

r is the modulus = √x²+y²

∅ is teh argument = arctan y/x

Given thr complex number z = 6+6√(3)i

r = √6²+(6√3)²

r = √36+108

r = √144

r = 12

∅ = arctan 6√3/6

∅ = arctan √3

∅ = 60°

In polar form, z = 12(cos60°+isin60°)

z = 12(cosπ/3+isinπ/3)

To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)

z^1/4  = 12^1/4(cosπ/12+isinπ/12)

When n = 1;

z1 =  12^1/4(cosπ/3+isinn/3)

z1 = 12^1/4cis(π/3)

when n = 2;

z2 = 12^1/4(cos2π/3+isin2π/3)

z2 = 12^1/4cis(2π/3)

when n = 3;

z2 = 12^1/4(cosπ+isinπ)

z2 = 12^1/4cis(π)

when n = 4;

z2 = 12^1/4(cos4π/3+isin4π/3)

z2 = 12^1/4cis(4π/3)

8 0
3 years ago
Ignore<br>bdwuqhaosjnkdascznckaszxk
larisa [96]

okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

4 0
2 years ago
How are you supposed to find the slope of a line?
MArishka [77]
You have to find two definite points on the graph, i'll use (1,4) and (2,6) as an example

The slope formula is (y2-y1)/(x2-x1)

This means you have to subtract the first y value from the second divide it by the first x value subtracted from the second

In my example you have to do (6-4)/(2-1) to get 2/1, or 2

Hope this helps!
7 0
3 years ago
In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent
BaLLatris [955]

The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.

Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get

{P}_{n} =284\cdot {1.04}^{n}P

n

=284⋅1.04

n

We can find the number of years since 2013 by subtracting.

\displaystyle 2020 - 2013=72020−2013=7

We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.

\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P

7

=284⋅1.04

7

≈374

The student population will be about 374 in 2020.

5 0
2 years ago
Laketown had 215 inches of snowfall last year, but only 155 inches this year. What was the percent decrease in snowfall for Lake
skelet666 [1.2K]
Okay, so FIRST you would subtract 215 - 155, which is 60, and THEN divide it by 215, so 60 divided by 215 = 0.27, and rounded that is 0.28, then you move the decimal two places to the right to make it a percentage so your answer would be A., 28%
I hope I helped! =D
8 0
3 years ago
Read 2 more answers
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