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marin [14]
3 years ago
15

What is √-6 in the form a+bi?

Mathematics
2 answers:
mixas84 [53]3 years ago
7 0

Answer:

0+i × root 3

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Effectus [21]3 years ago
7 0

Answer:

\huge\boxed{0+\sqrt{6} i}

Step-by-step explanation:

\sf \sqrt{-6} \\\\We\ know\ that \ i = \sqrt{-1} \\\\This \ becomes\\\\= \sqrt{6} i\\\\In \ the \ form \ of \ a+bi:\\\\= 0+\sqrt{6} i\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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Consider the function f(x) = x^{2/3} on the interval [-1,8].
zhannawk [14.2K]
The right option is (c). The Mean Value Theorem does not apply since f(x) is not differentiable on (-1,8). Because the derivative of f is 2/3 x^(-1/3)  which is undefined at x=0.So, that would imply that it is not differentiable along the interval.
5 0
3 years ago
8 multiplied by the sum of a number and 5 is 24.
ziro4ka [17]

Answer:

-2

Step-by-step explanation:

24/8 (Opposite of multiplied)

=3

-5 (The opposite of sum)

3-5

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8 0
3 years ago
A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive
worty [1.4K]

Answer: 65.1 (mg)

Step-by-step explanation:

y=190*e^{-a*t}\\\\Calculate\ a:\\\\t=33,y=95(mg)\\\\190*e^{-a*33}=95\\\\e^{-a*33}=0.5\\\\-a*33=ln(0.5)\\\\a=\dfrac{ln(\dfrac{1}{2}) }{-33} \\\\a=0,02100... \approx{0.021}\\\\If\ t=51\ h, y=190*e^{-0.02100*51}=65.09167...\approx{65.1}

6 0
3 years ago
An athletic field is a 48 yd​-by-96 yd ​rectangle, with a semicircle at each of the short sides. A running track 20 yd wide surr
MA_775_DIABLO [31]

The distance would be equal to 2 times the longest side of the rectangle plus twice the shortest side multiplied by pi / 2 for the semicircle, that is:

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D = 2 * (96) + 2 * (1/2) * pi * 48

D = 192 + pi * 48

This shorter side, which starts at 48, will expand each time by two more in proportion to 20 of the running track between 8 than the number of divisions, that is, 2 * (20/8) = 5

In other words, there are 8 distances, like this:

D1 = 192 + 3.14 * 48 = 342.72 yd

D2 = 192 + 3.14 * (48 + 5) = 358.42 yd

D3 = 192 + 3.14 * (48 + 10) = 374.12 yd

D4 = 192 + 3.14 * (48 + 15) = 389.82 yd

D5 = 192 + 3.14 * (48 + 20) = 405.52 yd

D6 = 192 + 3.14 * (48 + 25) = 421.22 yd

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D8 = 192 + 3.14 * (48 + 35) = 452.62 yd

6 0
3 years ago
The area of a circle is 28.26 square meters. What is the circle's diameter?
ikadub [295]

Answer: area for circle is  πr² so πr² =28.26 and we can sub 3.14 as pi

3.14*r²=28.26 we can divide by 3.14 to get r² on it's own

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then we root both sides to get r on it's own

28.26/3.14=9 √9=3

and the diameter is double the radius 3*2=6 so the diameter is 6

Step-by-step explanation:

7 0
3 years ago
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