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2 years ago

Z=32+41.9i

Mathematics

1 answer:

n200080 [17]2 years ago

6 0

A. Re(z)= 32 and Im(z)= 41.9

The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’

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Need help with this math problem

makvit [3.9K]

Answer:

P(x) = x^4 -16x^3 +76x^2 -72x -100

Step-by-step explanation:

The two roots 1-√3 and 1+√3 give rise to the quadratic factor ...

... (x -(1-√3))(x -(1+√3)) = (x-1)^2 -(√3)^2 = x^2 -2x -2

The complex root 7-i has a conjugate that is also a root. These two roots give rise to the quadratic factor ...

... (x -(7 -i))(x -(7 +i)) = (x-7)^2 -(i)^2 = x^2 -14x +50

The product of these two quadratic factors is ...

... P(x) = (x^2 -2x -2)(x^2 -14x +50) = x^4 +x^3(-14 -2) +x^2(50 +28 -2) +x(-100+28) -100

... P(x) = x^4 -16x^3 +76x^2 -72x -100

7 0

2 years ago

Read 2 more answers

The area of the rug is 4 15/36<br> The rug is 2 3/4 meters in height <br> How wide is the rug

sineoko [7]

I assume the rug is rectangle.

The area of rectangle is width (W) multiply by hight (H)

$A=4\frac{15}{36}=4\frac{5\cdot3}{12\cdot3}=4\frac5{12}\\\\H=2\frac34\\\\\\A=W\cdot H\\\\4\frac{5}{12}=W\cdot2\frac34\\\\4\frac5{12}:2\frac34=W\\\\ \frac{4\cdot12+5}{12}:\frac{2\cdot4+3}{4}=W\\\\ \frac{53}{12}:\frac{11}4=W\\\\ \frac{53}{12}\cdot\frac4{11}=W\\\\ \frac{53\cdot4}{3\cdot4\cdot11}=W\\\\W=\frac{53}{33}\\\\W=1\frac{20}{33}$

The rug is $1\frac{20}{33}$ meters wide

4 0

3 years ago

You notice a hot air balloon descending. The elevation h

ANEK [815]

Answer:

the domain is 0 x 45 and the range is 0 h 360. The slope is -8, so the change in the height of the ballon is -8 feet per second. The h-intercept is 360, so the height of the ballon when the first noticed it was 360 feet. The x-intercept is 45, so the time it took the hot air balloon to reach the ground was 45 seconds.

Step-by-step explanation:

8 0

3 years ago

Help please. Will put brainliest

Murrr4er [49]

Answer:

17,750
1737

Step-by-step explanation:

A suitable table or calculator is needed.

One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...

0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16

The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...

0.66799·26,000 = 1737 . . . . . below 19.76

_____

<em>Comment on the first number</em>

The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.

4 0

3 years ago

Find the smaller root for x^2 -9 =-5

Charra [1.4K]

X^2-9=-5
x^2-4=0
(x+2)(x-2)=0 [Difference of Two Squares]
x=-2,2
-2 is the smaller root.

6 0

3 years ago