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never [62]
3 years ago
10

Write in standard form:

%7D%7B2%7Di%29%5E%7B4%7D" id="TexFormula1" title="(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}i)^{4}" alt="(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}i)^{4}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

Answer:

-1

Step-by-step explanation:

=(\frac{1}{\sqrt{2}}(1+i))^4\\=\frac{1}{4}(1+i)^2(i+i)^2\\=\frac{1}{4}(2i)(2i)\\=i^2\\=-1

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What is the degree 3 polynomial that has zeros -3,2 and 5 and in which the coefficient of x^2 is -8?
Setler [38]
For zeroes/roots r1,r2, r3
the facors of the polynomial is
(x-r1)(x-r2)(x-r3)

roots
-3,2,5
(x-(-3))(x-2)(x-5)
(x+3)(x-2)(x-5)
the coefient of the x term is -4
so mutliply the whole thing by 2

(2)(x+3)(x-2)(x-5)

expand
f(x)=2x^3-8x^2-22x+60
3 0
3 years ago
The college athletic director recorded the highest noise levels reached during 7 sporting events. The highs were:
sergiy2304 [10]

Answer:

90

Step-by-step explanation:

Mean:

(88 + 88 + 88 + 87 + 84 + 97 + 95)/7

627/7

89.57

90

8 0
3 years ago
The length of a city’s bus routes are normally distributed with a mean of 14.5 mi and a standard deviation of 3.2 mi.
jeka57 [31]
Thank you for posting your question here at brainly. Please see below answer:

a) What percentage of city bus routes are less than 15 mi? 
56.20820167 ≈ 56.2%

b)What percentage of city bus routes are greater than 20 mi? 
4.282995170  ≈ 4.3 %

c) What percentage of city bus routes are less than 10 mi?
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3 0
3 years ago
5. Find the solutions of x^2 – X-30 = 0.<br><br> please show work on how to do it
erica [24]

Answer:

x=6, x= -5

Step-by-step explanation:

Factor the equation

x^2 - x - 30 = 0 ----> (x-6)(x+5)=0

Next find the solution by setting those in the paranthesis equal to zero.

x-6=0 ----> x= 6

x+5=0 ----> x= -5

8 0
3 years ago
Read 2 more answers
Zoey needed to get her computer fixed. She took it to the repair store. The
cricket20 [7]

45

Explanation

x = Amount paid one hour

205.25 - 59 = 146.25

3.25x = 146.25

x = 146.25 ÷ 3.25

x = 40

7 0
3 years ago
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