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2 years ago

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Epress 4+3i/3-4i in form of a + bi .evaluate your final answer raised to power 6

1 answer:

VashaNatasha [74]2 years ago

7 0

Answer:(a) Express the complex number (4 −3i)3 in the form a + bi. (b) Express the below complex number in the form a + bi. 4 + 3i i (5 − 6i) (c) Consider the following matrix. A = 2 + 3i 1 + 4i 3 − 3i 1 − 3i Let B = A−1. Find b22 (i.e., find the entry in row 2, column 2 of A−1)

Step-by-step explanation:

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A bar of soap with dimensions 2 x 4 x 0.5 inches is sold for $3 individually. A three-pack of the same soap costs $8. How much d

LUCKY_DIMON [66]

We know that
volume of a bar of soap=2*4*0.5----> 4 in³

<span>A bar of soap is sold for $3 individually
</span>so
$3/4-----> 0.75 $/in³

<span>A three-pack of the same soap costs $8
so
$8*(3*4)----> 0.67 $/in</span>³

<span>if you buy the three-pack you save-----> [0.75-0.67]=0.08 $/in</span>³

the answer is
$0.08

7 0

3 years ago

Helppp pleaseeee xxxxx

Lady bird [3.3K]

Answer:

$h = 3\sqrt{3}$

$c = 4\sqrt{2}$

Step-by-step explanation:

✔️Finding h using trigonometric ratio:

Reference angle = 60°

Opposite = h

Adjacent = 3

Thus:

$tan(60) = \frac{h}{3}$

$\sqrt{3} = \frac{h}{3}$ (tan 60 = √3)

Multiply both sides by 3

$3\sqrt{3} = h$

$h = 3\sqrt{3}$

✔️Finding c using trigonometric ratio:

Reference angle = 45°

Hypotenuse = 8

Adjacent = c

Thus:

$cos(45) = \frac{c}{8}$

$\frac{\sqrt{2}}{2} = \frac{c}{8}$ (cos 45 = √2/2)

Multiply both sides by 8

$\frac{\sqrt{2}}{2} \times 8 = c$

$\sqrt{2} \times 4 = c$

$c = 4\sqrt{2}$

7 0

2 years ago

What is the next step to solve the equation 5y 3x15 for y?

Sindrei [870]

Answer:y will be 45 then Multiply 45x3 which equals 135. Then add 135+62 and get your awnser.

Step-by-step explanation:

5 0

2 years ago

"We keep tossing a fair coin n = 10^6 million times, write down the outcomes: it gives a Heads-and-Tails-sequence of length n. W

anyanavicka [17]

Answer:

Check the explanation

Step-by-step explanation:

Let $X_{i}$ be the indicator random variable that takes the value 1 if the ith coin is the first coin in a sequence of 19 consecutive heads.

For any sequence of length 19, the starting coin can be from toss i ,

such that i is between 1 and n - 19+1

Thus the number of such sequences is

Kindly check the attached image below for the step by step explanation to the question above.

4 0

2 years ago

Tema [17]

Answer:

$y = \frac{1}{2} x+7$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{10-4}{6-(-6)}$

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

$\frac{6}{12}=\frac{1}{2}$

The slope is $\frac{1}{2}$ .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

$10 = \frac{1}{2}(6)+b$

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

$y = \frac{1}{2} x+7$

4 0

3 years ago