All categories

3 years ago

Add or subtract. Write the result in the form a+bi

Mathematics

1 answer:

STALIN [3.7K]3 years ago

8 0

Number 1: (-1+2i)+(6-9i)

$Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(-1+6\right)+\left(2-9\right)i\\=5-7i$

Number 2: (3-3i)-(4+7i)

Number 3: (-5+2i)+(-2+8i)

You might be interested in

A store marks up sweaters by 23%. Find the retail price of a sweater originally priced at<br>$48.

34kurt

Answer:

The mark up price of the sweater would be $59.04

8 0

3 years ago

87 is what percent of hundred <br>

gregori [183]

It should be 87% cz 87/100

3 0

3 years ago

Using either the integral, limit comparison, comparison, or p-test, determine if the series converges or diverges. ∑n=3→∞ <img s

bija089 [108]

Answer:

See below. The series converges.

Step-by-step explanation:

5 0

3 years ago

Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a

ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let $x$ be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be $12.50x$ . From this information we can gather that the cost function for this factory is,

$C(x)=53\,900+12.50x.$

On the other hand, if we let $x$ be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

$R(x)=16.50x.$

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

$R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.$

The company has to sell 134 750 units to break even.

6 0

3 years ago

For any distribution, what is the z-score corresponding to the median? 0 1 n cannot be determined from the information given

defon

<span>This is a value that cannot be determined at current (choice D). The z-score associated with the mean is 0, but the median value is not always equal to the mean. In this case, it could be 0, it could be greater than 0, or it could be less than 0.</span>

3 0

4 years ago