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ludmilkaskok [199]
3 years ago
12

(50 POINTS AND BRAINLIEST) Show all work to multiply quantity 2 plus the square root of negative 25 end quantity times quantity

4 minus the square root of negative 100 end quantity
Mathematics
2 answers:
xeze [42]3 years ago
8 0
The equation would be (3+√-16)(6-√-64)
A negative square root can not be a real number, meaning that we have to use the imaginary number.
(3+4i)(6-8i)
How to multiply imaginary numbers...
Treat this like an equation looking like (x-a)(y-b)
Use FOIL
(3+4i)(6-8i)
= 18-24i+24i-32i²
= 18-32i²    (i²= -1 because i= √-1)
= 18- (-32)
= 18 + 32
= 50
harina [27]3 years ago
8 0

Answer: I believe the answer is 2.23606798i

Step-by-step explanation:

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Hoochie [10]
B=30. all you have to do is minus 9 from both sides then multiply 6 to each side so all thats left is the variable
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3 years ago
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A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is
koban [17]

The expected length of code for one encoded symbol is

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha

where p_\alpha is the probability of picking the letter \alpha, and \ell_\alpha is the length of code needed to encode \alpha. p_\alpha is given to us, and we have

\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}

so that we expect a contribution of

\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375

bits to the code per encoded letter. For a string of length n, we would then expect E[L]=1.375n.

By definition of variance, we have

\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2

For a string consisting of one letter, we have

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4

so that the variance for the length such a string is

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"squared" bits per encoded letter. For a string of length n, we would get \mathrm{Var}[L]=1.859n.

5 0
3 years ago
Find the geometric means in the following sequence.
soldi70 [24.7K]

Answer:

Last choice. d.

Step-by-step explanation:

We are given the first term and the sixth term.

The first term is a_1=-9.

The sixth them is a_6=a_1r^5=-9216.

Let's solve for the common ratio, r.

-9r^5=-9216

Divide both sides by -9:

r^5=1024

Take the fifth root of both sides:

r=1024^{\frac{1}{5}}

r=4

So the common ratio is 4.

a_1=-9

a_2=-9(4)=-36

a_3=-9(4)^2=-144

a_4=-9(4)^3=-576

a_5=-9(4)^4=-2304

a_6=-9(4)^5=-9216

8 0
3 years ago
4(w+1)=−6 <br><br> w = ?<br> HURRY FAST!
vodomira [7]

Answer:

4w+4=-6

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7 0
3 years ago
Mika read a 405 page book in 6 hours. how many pages per minute did she read?
Annette [7]

Answer:

1.125 pages per minute

Step-by-step explanation:

Mika read a 405 page book in 6 hours.

6 hours is equivalent to

6 × 60 minutes = 360 minutes

Number of pages read per minute = 405/360

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Mika read 1.125 pages per minute.

5 0
3 years ago
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