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o-na [289]
3 years ago
10

Imaginary numbers

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

6 + 11i

Step-by-step explanation:

2 + 2i - 2(-1/2 - 4i) + 4(3/4 + 1/4i)

= 2 + 2i + 1 + 8i + 3 + i

= 6 + 11i

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Irrational, rational, integer, whole or natural ? <br><br><br> for numbers 1-4
algol [13]

Answer:

1. irrational

2. rational, integer

3. ratioanal

4. whole, rational

5 0
3 years ago
If f(x)= 2x + 7, find f^-1(x). Please do not add any space between characters in your answer. For example: (3x-2)/5
scoundrel [369]

Answer:

f−1(x)=x/2−7/2

Step-by-step explanation:

5 0
3 years ago
Find P(3) when µ = 4<br><br>there wasn't any prior information.<br><br>It was added
blagie [28]
<h3>Answer:  P(3) = 0.20</h3>

====================================================

Explanation:

The Poisson PDF value is given by the function

P(x) = ( e^(-mu)*mu^x )/(x!)

where the exclamation mark indicates a factorial

In this case, mu = 4, so we can update the equation into

P(x) = ( e^(-4)*4^x )/(x!)

Now plug in x = 3 to finish off the problem

P(x) = ( e^(-4)*4^x )/(x!)

P(3) = ( e^(-4)*4^3 )/(3!)

P(3) = 0.1953668148129

P(3) = 0.20

Note: The 'e' is a special constant which is approximately e = 2.718, similar to how pi = 3.14 is a constant used often.

6 0
3 years ago
The value of y varies directly with x, and y = 48 when x = 18. Find y when x = 144.
QveST [7]

Answer:

y = 384

Step-by-step explanation:

Find an equation that fits the graph

When the value varies directly, y = kx.

Find k by substituting x and y in the equation

y = kx

48 = 18k

k = 48/18

k = 8/3

To find the value of y when x= 144 by substituting x for 144

y = 8/3 x

y = 8/3 (144)

y = 1152/3

y = 384

y is 384 when x is 144.

4 0
3 years ago
Don is 6 feet tall. At a given time of day, he measures his shadow to be 10 feet long.
OLga [1]

Answer:

Ok, so with this problem, you would start with the equation 6/10=x/38.

Then, cross multiply:

38(6)=10x

After, you would:

38 x 6 = 228

Then:

228/10

Lastly:

x=22.8m which when rounded equals 23 ft.

5 0
3 years ago
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