MathMaster
Q & A
Blog
Tutorials
Calculators
Privacy policy
CONTACT US
Menu
Home
general
simplify 2 3i 4 5i
Question
Simplify (2 + 3i) + (4 − 5i).
Like
193
likes
965
views
Answer to a math question Simplify (2 + 3i) + (4 − 5i).
Darrell
4.5
97
Answers
Solution:
1. Given two complex numbers:
-
(2 + 3i)
-
(4 - 5i)
2. Add the real parts and the imaginary parts separately:
* Real parts:
2 + 4 = 6
* Imaginary parts:
3i - 5i = -2i
3. Combine the results to form the simplified complex number:
6 - 2i
Frequently asked questions (FAQs)
What is the value of sin(45°) + cos(60°) - tan(30°) + sec(180°) + csc(90°)?
+
Math Question: What condition of congruence is represented by the two parallel lines in a triangle ABC, if AC ≤ AB?
+
What is the dot product of two vectors with lengths 3 and 4, making an angle of 60 degrees between them?
+
New questions in Mathematics
Let 𝑢 = 𝑓(𝑥, 𝑦) = (𝑒^𝑥)𝑠𝑒𝑛(3𝑦). Check if 9((𝜕^2) u / 𝜕(𝑥^2)) +((𝜕^2) 𝑢 / 𝜕(𝑦^2)) = 0
The time it takes for a person to travel 300 m is 15 minutes. What is their speed in meters per second?
10.Silvana must knit a blanket in 9 days. Knitting 8 hours a day, at the end of the fifth day, only 2/5 of the blanket was done. To be able to finish on time, how many hours will Silvana have to knit per day?
How many percent is one second out a 24 hour?
what is 3% of 105?
1 plus 1
(2x+5)^3+(x-3)(x+3)
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
2x+4x=
find f(x) for f'(x)=3x+7
Two business partners have a bank balance of $17,942.00. After the first year their interest brings their balance to $18,928.91. What rate of interest is earned?
4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0
Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.
Write an expression using compatible numbers that can be used to estimate the quotient 629\86
Find sup { x∈R, x²+3<4x }. Justify the answer
X^X =49 X=?
a) 6x − 5 > x + 20
Solve the following 9x - 9 - 6x = 5 + 8x - 9
Sodium 38.15 38.78 38.5 38.65 38.79 38.89 38.57 38.59 38.59 38.8 38.63 38.43 38.56 38.46 38.79 38.42 38.74 39.12 38.5 38.42 38.57 38.37 38.71 38.71 38.4 38.56 38.39 38.34 39.04 38.8 A supplier of bottled mineral water claims that his supply of water has an average sodium content of 36.6 mg/L. The boxplot below is of the sodium contents levels taken from a random sample of 30 bottles. With this data investigate the claim using SPSS to apply the appropriate test. Download the data and transfer it into SPSS. Check that your data transfer has been successful by obtaining the Std. Error of the mean for your data which should appear in SPSS output as 0.03900.. If you do not have this exact value, then you may have not transferred your data from the Excel file to SPSS correctly. Do not continue with the test until your value agrees as otherwise you may not have correct answers. Unless otherwise directed you should report all numeric values to the accuracy displayed in the SPSS output that is supplied when your data has been transferred correctly. In the following questions, all statistical tests should be carried out at the 0.05 significance level. Sample mean and median Complete the following concerning the mean and median of the data. mean = mg/L 95% CI: to mg/L Based upon the 95% confidence interval, is it plausible that the average sodium content is 36.9 mg/L? median: mg/L The median value is 36.9 mg/L. Skewness Complete the following concerning the skewness of the data. Skewness statistic = Std. Error = The absolute value of the skewness statistic less than 2 x Std. Error Therefore the data can be considered to come from a population that is . Normality test Complete the following summary concerning the formal testing of the normality of the data. H0: The data come from a population that normal H1: The data come from a population that normal Application of the Shapiro-Wilk test indicated that the normality assumption reasonable for sodium content (S-W( )= , p= ). Main test Using the guidelines you have been taught that consider sample size, skewness and normality, choose and report the appropriate main test from the following ( Appropriate ONE ) You have selected that you wish to report the one-sample t-test. H0: The mean sodium content equal to 36.9 mg/L H1: The mean sodium content equal to 36.9 mg/L Application of the one-sample t-test indicated that the mean is 36.9 mg/L (t( ) = , p = ). You have selected that you wish to report the Wilcoxon signed rank test. H0: The median sodium content equal to 36.9 mg/L H1: The median sodium content equal to 36.9 mg/L Application of the Wilcoxon signed rank test indicated that the median is 36.9 mg/L (z = , N = , p = ).
How many digits are there in Hindu-Arabic form of numeral 26 × 1011
Download NOW
Apple store
Download NOW
Google play
Solve NOW
Try On Web
You might be interested in
How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
2x-y=5 x-y=4
Determine the equations of the recipes that pass through the following pairs of points P1 (2;-1) and p2 (4;-1)
Additionally, the boss asked Armando to determine how many toy sales branches he would have in the fifteenth year, knowing that the first year they started with two branches, by the second they already had 5 branches and, by the third year, they had 8 branches. From the above, determine the number of branches it will have for the fifteenth year.
Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is
A juice shop prepares assorted juices, for their juices they have 5 different types of fruit. How many types of assortments can be prepared in total, if it is considered an assortment to a juice made with two or more fruits?
4X^2 25
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
-4y-6(2z-4y)-6
Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?
How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.
What is the appropriate measurement for the weight of an African elephant?
Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.
A mutual fund manager has a $350 million portfolio with a beta of 1.10. The risk-free rate is 3.5%, and the market risk premium is 6.00%. The manager expects to receive an additional $150 million which she plans to invest in several different stocks. After investing the additional funds, she wants to reduce the portfolio’s risk level so that once the additional funds are invested the portfolio’s required return will be 9.20%. What must the average beta of the new stocks added to the portfolio be (not the new portfolio’s beta) to achieve the desired required rate of return?
From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539
Determine the reduced form of the slope equation equal to 2
In an orchard there are 360 trees and they are distributed in 9 rows with the same number of trees in each row. 2 are rows of orange trees, 4 of apple trees and the rest are of pear trees. What fraction of the trees in the orchard are of each type of fruit tree? How many trees of each type are there?
calculate the product of 4 and 1/8
12[4 + (8 + 7) + 5]