Write in the form in a+bi

And this (4+i)(4-i) show work so i can understand pls ;-;

Irina18 [472]

(a+b)(a-b)=a^2-b^2

$\\ \tt\longmapsto (4+I)(4-i)$

$\\ \tt\longmapsto 4^2-i^2$

$\\ \tt\longmapsto 16+1$

$\\ \tt\longmapsto 17$

4 0

2 years ago

Read 2 more answers

PRECAL Find the compliment of 0.25 Find the supplement of 7π/8

balandron [24]

The unit of measurement is not specified, so for the sake of this problem, we'll assume it's radians (If you need it in degrees, I'll be happy to edit).

Find the compliment of 0.25:

Complementary angles add up to 90 degrees. In radians, this would be π/2. If you're unsure how I got this, check degrees to radian conversions.

The compliment of 0.25 would be $\dfrac{\pi}{2} - \dfrac{1}{4}$ (1/4=0.25)

$\dfrac{\pi}{2} - \dfrac{1}{4}$

$= \dfrac{\pi}{2} - \dfrac{1}{4} = \dfrac{2\pi-1}{4}$

(This is the simplified form in case you're homework needs it in this form)

That's the compliment. In decimal (rounded to the nearest hundredth), this would be 1.32 radians.

Find the supplement of 7π/8:

Supplementary angles add up to 180 degrees. In radians, this would be π.

The supplement would be the following:

$\pi- \dfrac{7\pi}{8}$

$=\dfrac{8\pi}{8}-\dfrac{7\pi}{8}=\dfrac{\pi}{8}$

Thus, the supplement is π/8 radians. If any of this struck you as confusing, comment and I'd be happy to clarify.

8 0

4 years ago

Based on a table provided in your reading material determine the monthly payment for a $100,000 loan if the interest rate is 6%

kari74 [83]

Answer: The monthly payment on this loan would be $843.86.

Online you can find numerous loan calculators if you don't have access to the one in your reading material. All you need to do is enter the loan amount of $100,000 with a rate of 6% over the course of 15 years.

Entering these values will give a monthly payment of $843.86.

5 0

3 years ago

What are outliers, and how do they affect the center, spread and shape of a data set?

nordsb [41]

A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. An outlier can affect the mean of a data set by skewing the results so that the mean is no longer representative of the data set. There are solutions to this problem.

3 0

3 years ago

What is opportunity sampling

Yakvenalex [24]

Answer:

Opportunity sampling is also known as convenience and it can be defined as a sampling technique which typically involves the process of selecting participants from a population of interest (target group) to take part in a research study.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Systematic sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Opportunity or convenience sampling.

Opportunity sampling is also known as convenience and it can be defined as a sampling technique which typically involves the process of selecting participants from a population of interest (target group) to take part in a research study.

This ultimately implies that, an opportunity sampling is a non-probability sampling in which a researcher select participants based on their availability for the study.

For example, John a psychologist standing on the street requesting that passersby join in his research study.

6 0

3 years ago