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Valentin [98]
2 years ago
9

If

Mathematics
1 answer:
Bas_tet [7]2 years ago
4 0

Answer:

5 + 2i

Step-by-step explanation:

We were given the complex numbers;

a =  - 2 - 5i

and

b =  - i

We want to find the product;

a {b}^{3}

We substitute the complex numbers into the expression and simplify:

( - 2 - 5i)( {i)}^{3}

This is rewritten as:

( - 2 - 5i)( {i)}^{2}  \times i

Note that

{i}^{2}  =  - 1

We substitute to obtain:

( - 2 - 5i)  \times - iLet us expand to get:

- 2 \times  - i + 5i \times  - i

This simplifies to:

2i - 5 {i}^{2}

This gives:

2i - 5( - 1) = 2i + 5

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Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.
vladimir1956 [14]

Answer:

x2 = 60

Step-by-step explanation:

If the variables x and y are inversely proportional, the product x * y is a constant.

So using x1 and y1 we can find the value of this constant:

x1 * y1 = k

12 * 15 = k

k = 180

Now, we can use the same constant to find x2:

x2 * y2 = k

x2 * 3 = 180

x2 = 180 / 3 = 60

So the value of x2 is 60.

3 0
2 years ago
A bag of potatoes has a mass of 4 kilograms.Some potatoes are taken out.The mass is now 2305 grams.What is the mass of the potat
Colt1911 [192]
First, convert the kilograms to grams. One kilogram is 1000 grams. So multiply it by 1000. Then subtract 2305 from 4000. 4000-2305=1695. So 1695 grams were taken out.
5 0
3 years ago
What is the length of line Bc
Maslowich

Answer:    sorry if i am wrong but i think it is    c or a

Step-by-step explanation:

7 0
2 years ago
The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of t
Juli2301 [7.4K]

Answer:

The sale price was $67.20

Step-by-step explanation:

The sale price is 30% less than the original price.  Symbolically,

Sale price:  (100% less 30%) of $96, or

                     (1.00 - 0.30)($96), or 0.70($96) = $67.20

The sale price was $67.20

6 0
2 years ago
C
egoroff_w [7]

Answer:

Step-by-step explanation:

Answer:

$125  

Explanation:

Cost of meal                           =  $100

+ 5 % sales tax = 0.05 × 100 = +      5

+ 20 % tip         = 0.20 × 100 =  <u>     20</u>

Total cost                               =   $125

The total cost of the meal was $125.

8 0
3 years ago
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