In the complex number system, which expression is equivalent to (3 - 5i) - (7

Leno4ka [110]

Answer: (0, 2)

Step-by-step explanation:

Do (x1+x2/2, y1+y2/2) as your formula to find the midpoints. -3+3/2=0 and 2+2/2=2 so the midpoint is (0, 2). Hope this helps, have a blessed and wonderful day as well as a safe one and stay healthy!

3 0

2 years ago

What is 859 under a thousand as a mixed number?

Semmy [17]

To convert the improper fraction $\frac{1000}{859}$ into a mixed number, you first want to divide the numerator (1000) by the denominator (859):
$1000 \div 859 = 1 R141$

The quotient, which is 1, will be your whole number part of your mixed number. The remainder, 141, will become the numerator of the fraction part of your mixed number. The original denominator of your improper fraction, 859, is still the denominator of your mixed number. So your mixed number form of your improper fraction is:
$\frac{1000}{859} = 1 \frac{141}{859}$

Your answer is $1 \frac{141}{859}$

6 0

2 years ago

In 2002, 946 million telephones with cords were sold. Each year after that, the number of the number of corded phones fell by ap

Kisachek [45]

The companies being considered are:

The company that is concerned with corded telephones

The company that is concerned with cellphones

Let x represent the number of years since 2002 and y represent the total number of accounts

From the information given,

Considering the first company,

Initial number of accounts = 946 x 10^6

The number of accounts fell by approximately 28 million per year. This means that in x years, the number of accounts that would have been lost is

28 x 10^6 * x

= - 28x x 10^6

It is negative because it is reducing

The slope intercept form of a linear equation is expressed as

y = mx + c

where

m = rate of change

c = y intercept of value of y when x = 0

By comparing with the given scenario,

4 0

9 months ago

a car travels 10 miles in 15 minutes, how many miles will the car travel in 60 minutes at this rate? how many miles will it trav

nlexa [21]

Answer:60/15=4

So 10 miles in 15 min = 40 in 60 min or 30 in 45.

Step-by-step explanation:

3 0

3 years ago

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.9 9.7 9.7 8.7 7.0 7.2 11.3 11.

dybincka [34]

Answer:

$\sum X_i = 219.8$

And we can calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}= \frac{219.8}{27}= 8.141$

We can calculate the sample variance with this formula:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}= 2.819$

And the sample deviation would be given by:

$s= \sqrt{s^2}=\sqrt{2.819}= 1.679$

Step-by-step explanation:

For this case we have the following data given:

7.9 9.7 9.7 8.7 7.0 7.2 11.3 11.8 7.3 8.1 8.0 11.6 6.8 9.0 6.3 7.0 7.4 8.7 6.8 5.8 7.8 7.7 6.3 7.0 7.7 6.5 10.7

Our variable of interest is given by X="flexural strength (MPa) for concrete beams of a certain type"

And for this case we know that $\sum X_i = 219.8$