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KonstantinChe [14]
2 years ago
15

Which of the following is equivalent to the complex number -8(7i - 3i^2)

Mathematics
1 answer:
Leni [432]2 years ago
7 0

Answer:  B) -56i - 24

This is the same as -24 - 56i

=============================================

Explanation:

The 'i' refers to the imaginary number \sqrt{-1}

In other words, i = \sqrt{-1}

Squaring both sides gets us i^2 = -1

So,

x = -8(7i - 3i^2)\\\\x = -8(7i - 3(-1))\\\\x = -8(7i + 3)\\\\x = -8(7i) -8(3)\\\\x = -56i -24 \ \ \text{ .... Answer: Choice B}\\\\x = -24 - 56i\\\\

The result is in the form a+bi where a = -24 is the real part and b = -56 is the imaginary part.

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The net below can be folded to form a square pyramid.
topjm [15]

Surface area of the square pyramid = 217.8 in²

Solution:

Side length of the square = 9 in

Area of the square = side × side

                                = 9 in × 9 in

                                = 81 in²

Area of the square = 81 in²

Perimeter of the base = 4 × 9 in = 36 in

Slant height of the triangle = 7.6 in

Surface area of the square pyramid

                            $=\frac{1}{2} \times \text{Perimeter} \times \text{Slant height} + \text{Base area}

                            $=\frac{1}{2}\times  36\times 7.6+81

                            $=136.8+81

                            = 217.8 in²

Surface area of the square pyramid = 217.8 in²

6 0
3 years ago
Read 2 more answers
Molly earned $160 for walking her neighbors dog. If she walked the dog five hours each week for eight weeks how much did she mak
hichkok12 [17]

$4 an hour


5 hours per week times 8 weeks is 40 hours


$160 divided by 40 hours is $4/hr.

7 0
3 years ago
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Which situation would you represent with a negative integer?
garik1379 [7]

The answer is A (a mountain climber descending a mountain.

This sis the answer because it is the only option with a decrease. When something decreases, a negative value (a number) represents the amount it decreased.

Happy to help!

6 0
3 years ago
As part of the underwriting process for insurance, each prospective policyholder is tested for high blood pressure. Let X repres
xxTIMURxx [149]

Answer:

0.053

Step-by-step explanation:

This is a geometric distribution problem.

I'm geometric distribution problem,

E(X) = 1/p

Where;

E(X) is expected value and p is probability of success

Thus;

1/p = 12.5

p = 1/12.5

p = 0.08

Now, to find the probability that the sixth person tested is the first one with high blood pressure, we will use the probability formula in geometric distribution which is;

P(X = k) = qⁿ•p

q = 1 - p

q = 1 - 0.08

q = 0.92

Thus;probability that the sixth person tested is the first one with high blood pressure will be expressed as;

P(X > 5) = (0.92^(5)) × 0.08

P(X > 5) = 0.053

3 0
3 years ago
The airplane Li's family will be flying on can seat up to 149 passengers. If 96 passengers are already on the plane,
mash [69]

Answer:

D:)

Step-by-step explanation:

6 0
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