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Tomtit [17]
3 years ago
8

Simplify the following expression (1 + 4i) – (3 - 6i)

Mathematics
1 answer:
blagie [28]3 years ago
4 0

Answer:

10i - 2

Step-by-step explanation:

( 1 + 4i ) - ( 3 - 6i )

= 1 + 4i - 3 + 6i

= 1 - 3 + 4i + 6i

= - 2 + 10i

= 10i - 2

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The expression (x+10) (x-10) is being simplified below using the FOIL Method. Complete the process by filling in the blanks with
grandymaker [24]
(x + 10(x - 10)
x^2 + 10x - 10x -100
x^2 - 100

a. + (-10x)
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8 0
3 years ago
16 times 9 plss answer this questoin
damaskus [11]

The product of multiplication of 16 × 9 gives us; 144

<h3>Multiplication</h3>

We want to find the product of 16 and 9.

Now, to solve this we can use a little illustration for example if I have a basket of oranges and I want to given 9 people each 16 oranges, it means that the total number of oranges I will give out is; 16 × 9 = 144

Thus, our question answer is 16 × 9 = 144

Read more on multiplication at; brainly.com/question/2475734

6 0
2 years ago
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The arrival of customers at a service desk follows a Poisson distribution. If they arrive at a rate of two every five minutes, w
vampirchik [111]

Answer:

13.53% probability that no customers arrive in a five-minute period

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

They arrive at a rate of two every five minutes

This means that \mu = 2

What is the probability that no customers arrive in a five-minute period?

This is P(X = 0).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353

13.53% probability that no customers arrive in a five-minute period

5 0
2 years ago
Find the value of b that makes <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2Bbx%2B%5Cfrac%7B9%7D%7B4%7D%20" id="TexFormu
ahrayia [7]
Perfect square trinomial is like

(x+4)^2=x^2+8x+16
they are represented as such
ax^2+bx+c
so to solve for b you do
(√c) times 2=b so

c=9/4
square root=3/2 because 3/2 times 3/2=9/4
(√(9/4)) times 2=(3/2) times 2=6/2=3
so b=3

x^2+3x+(9/4)
if factored, it gives
(x+(3/2))(x+(3/2))  or
(x-(3/2))(x-(3/2))


if this equation is equal to 0 then x=-3/2 or 3/2

the value is 3
3 0
2 years ago
Which whole number is closest to √149
WINSTONCH [101]
If you're asking for the closest whole number to the square root of 149 - tis 12.
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