Mr. Harris has batteries for his calculators. If b represents the number of batteries and c represents his calculators, how many

1 answer:

3 0

These are simultaneous equations, and you can solve this by using the substitution method:

b = 4c
3c = -2b + 44

3c = -2(4c) + 44
3c = (-2 x 4c) + 44
3c = -8c + 44

11c = 44
c = 44/11
c = 4

b = 4c
b = 4(4)
b = 4 x 4
b = 16

Therefore, Mr. Harris has 16 batteries.

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Please find the square roots of the following complex number.

Nana76 [90]

Hey there,

First, find the square root of the given equation.

$\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))$

Keep in mind that this is solved for k = 0 and 1.

Second, simplify.

$=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})$

Best of Luck!

6 0

2 years ago

The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is

Alborosie

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

$P(A\cap B)=P(A)\cdot P(B)$

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., $P(A\cap B)$ , therefore $P(A\cap B)=P(A)\cdot P(B)$ .