All categories

3 years ago

Given the expression -7+6i/2+3i , perform the indicated operation and write the answer in the form a + bi.

1 answer:

8 0

$\dfrac{-7+6i}{2+3i}\times\dfrac{2-3i}{2-3i}=\dfrac{(-7+6i)(2-3i)}{(2+3i)(2-3i)}=\dfrac{4+29i}{4-9i^2}=\dfrac4{13}+\dfrac{29}{13}i$

You might be interested in

A truck rental company rents a moving truck One Day by charging $39 + 0.09 per mile write a linear equation that relates the cos

Ivanshal [37]

Answer:

$(a)\ c(x) = 39 + 0.09 x$

$(b)\ \$53.4$

Step-by-step explanation:

Given

$Base\ Charge = \$39$

$Rate = 0.09$ per mile

Solving (a): Linear Equation

The total charges (c(x)) is: the base charge + the rate * number of miles (x).

So, we have:

$c(x)= 39 + 0.09 * x$

$c(x) = 39 + 0.09 x$

Solving (b): Cost of rent, if miles = 160

This implies that x = 160

So, we have:

$c(x) = 39 + 0.09 x$

$c(160) = 39 + 0.09 *160$

$c(160) = 39 + 14.4$

$c(160) = 53.4$

7 0

3 years ago

On a newly developed IQ test, an individual scores at the 110 level on the first half of the test, and 150 on the second half of

EastWind [94]

Answer:

Reliability

Step-by-step explanation:

The Reliability of a measurement or observation refers to its repeatability. If you measure or observe the same thing twice, how close are the two measurements or observations?

#The test results 110 1nd 150 are between 27% and 36% depending on which direction you take. That variation is wide apart and the test can't be considered reliable.

4 0

3 years ago

4a-(a+6)=12-36 please help i am confused again lol

andreev551 [17]

Answer:

a=6

Step-by-step explanation:

4 0

3 years ago

For every $10 Helen takes home, her employer withholds $3 for taxes and social security. Helen's gross pay each month is $1950.

goldfiish [28.3K]

$1,671.43 I believe is the answer

3 0

3 years ago

A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Befor

Leya [2.2K]

Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 700, \sigma = 50$ .

The probability of a month having a PCE between $575 and $790 is the <u>p-value of Z when X = 790 subtracted by the p-value of Z when X = 575</u>, hence:

X = 790:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{790 - 700}{50}$

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

X = 575:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{575 - 700}{50}$

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

0.9641 - 0.0062 = 0.9579.

0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0

2 years ago