The difference of the two complex numbers (5 + 3i) and (2 + 9i) is; 3 - 6i.
What is the difference of the two complex numbers (5 + 3i) and (2 + 9i)?It follows from the task content that the two difference of the two complex numbers (5 + 3i) and (2 + 9i) be determined.
Since the numbers given are; (5 + 3i) and (2 + 9i).
The difference can be mathematically as follows;
( 5 + 3i ) - ( 2 + 9i )
By the Distributive property; we have;
5 + 3i - 2 - 9i
Collect like terms so that we have;
= 5 - 2 + 3i - 9i
= 3 - 6i
On this note, the difference between the two complex numbers is; 3 - 6i.
Read more on subtraction of complex numbers;
https://brainly.com/question/22877806
#SPJ1
A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years. Construct a 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years. Round your answer to three decimal places.
Answer: aA 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years = (0.163,0.189)
Step-by-step explanation:
Let p = population proportion of adults in the U.S. who have donated blood in the past two years.
Given: A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.
Sample size: n= 2322
Sample proportion [tex]q=\dfrac{408}{2322}=0.176[/tex]
Critical z-value for 90% confidence level : z*=1.645
The confidence interval for population proportion:
[tex]q\pm z^*(\sqrt{\dfrac{q(1-q)}{n}})[/tex]
A 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years:
[tex]0.176\pm (1.645)(\sqrt{\dfrac{0.176(1-0.176)}{2322}})\\\\=0.176\pm (1.645)(0.0079)\\\\=(0.176\pm0.013)\\\\=(0.176-0.013,0.176+0.013))\\\\=(0.163,0.189)[/tex]
Hence,
The perimeter of a triangle is34 ft. One side of the triangle is 2 times the second side. The third side is 6 ft longer than the second side. Find the length of each side
Let the second side = x
The first side is 2x ( 2 times the second side)
The third side is x + 6 ( 6 feet longer than the second side)
Now you have: x + 2x + x + 6 = 34
Simplify to get:
4x + 6 = 34
Subtract 6 from both sides
4x = 28
Divide both sides by 4:
X = 7
1st side = 2x = 2*7 = 14 feet
2nd side = x = 7 feet
3rd side = x + 6 = 7 + 6 = 13 feet
Impossible for me plz help. Also please insure that you write a let statement :)
lame 《 Solve & Share A flash drive costs $24, including tax. A customer purchases 3 flash drives and pays the cashier $80. How much change should the cashier give back to the customer? Solve this problem any way you choose.
Answer:
$8
Step-by-step explanation:
1 flashdrive = $24
3 flash drives x $24 = $7
$80 - $72 = $8
I need help with this problem please
Answer:
-9
Step-by-step explanation:
Remove parentheses.
9(−1)2−7
Subtract 77 from 22.
9(−1)−5
Rewrite the expression using the negative exponent rule b−n= 1/bn
91(−1)5
Raise −1 to the power of 5.
9(1/-1)
Divide 1 by −1.
9⋅−1
Multiply 9 by −1.
−9
Please answer quick just super small explanation pls hurry quick for brainlessly answer
Delia put I two bags of blocks in the left-side pan of a balance. Each bag has the
same number of blocks. After she adds 10 blocks to the right-side pan, the pans
hang evenly. How many blocks are in 1 bag?
What number has a digit 9 that is 10 times the value of the digit 9 in 0.79. Need help now
Answer:
0.9 or 7.9
Step-by-step explanation:
Mark brainliest please
Lila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yielded 1/4 gallon each.
How many GALLONS of honey did Lila collect in all?
Answer: 1 1/6
Step-by-step explanation: i dont know if this is right, but hope it helps
Answer:
1 1/6
Step-by-step explanation:
Given function:
find the three beehives honey Lila total collected2/3,1/4,1/4Combine the terms:
[tex]\frac{2}{3}+\frac{1}{4}+\frac{1}{4}=\frac{2}{3}+\frac{2}{4}[/tex]Simplfly the fraction terms:
[tex]\frac{2}{3}[/tex]·[tex]4=\frac{8}{12}[/tex] [tex]\frac{2}{4}[/tex]·[tex]3=\frac{6}{12}[/tex]Combine the terms:
[tex]\frac{8}{12}+\frac{6}{12}=\frac{14}{12}[/tex]Simplifly the final value:
[tex]\frac{14}{12}=1\frac{2}{12}[/tex] [tex]1\frac{2}{12}=1\frac{1}{6}[/tex]Therefore, the three beehives gives a total of 1 1/6 honey..
Solve each equation below for the variable given.
134+ p =74 p =
25/8 + m = 7 1/8 m =
Answer: For the first one: P=-60
The second one: m=4
Step-by-step explanation:
134+p=74
You move to the right and you change the sign
Like this: p=74-134
Then you Calculate the difference
So p=-60 which is your answer
The second one: 25÷8+m=7 1/8
You divide the numbers like this:3.125m=7 1/8
Convert the mixed number into an improper fraction.. like this: 3.125+m=57/8
Move constant to the right and change the sign
Like this: m=57/8 - 3.125
Convert the decimal into a fraction
m=57/8-25/8
Then you Calculate the difference
So it will be m=4 which is your answer
Let me know if this helps
Pls help Find the value for n try to use x/y Pls pls pls help il mark brainliest pls i really need help pls pls help
Answer:
coprs said the United of a group that had to take the first time and was not the first person in a while and
Step-by-step explanation:
Please help me ! Will mark Brainly
Answer:
1512cm is the answer.
Step-by-step explanation:
does anyone know how to solve this? I have to find lengths FJ, DM, and EM
Answer:
FJ= 24
DM= 16
EM= 18
Step-by-step explanation:
The centroid is twice as close along any median to the side that the median intersects as it is to the vertex it emanates from.
So in the case of FJ, the median intersects the side at point J and extends from vertex F. This means that FM is twice as long as MJ. It tells us that MJ is 8, so MF would be 16. Now because FJ is just FM+MJ, FJ is 24.
It also tells us that DK is 24, which means that DM+MK = 24. If DM is twice as long as MK, that would make MK equal to 8 and DM equal to 16
Similarily, EM would be twice as long as ML. It says that ML=9 so that would make EM=18
The sum of two numbers is -17. Their difference is 41. Find the numbers
Answer:
Step-by-step explanation:
x+y = -17
x-y = 41
------------
2x = 24
x = 12
y = -x-17 = -29
PLEASE HELP ME WITH QUESTION ONE AND EXPLAIN YOUR ANSWER PLEASE
Answer:
168 in³
Step-by-step explanation:
First, you get the area of the triangle - 1/2(7)(6)=21. Then you multiply it by the height. 21x8=168
Answer:
Answer in explanation
Step-by-step explanation:
The formula for volume of a triangular shape is Volume = base x height x length / divided by 2
1. V = 7 ( base ) x 6 ( height ) x 8 ( length ) divided by 2 = 168in3 ( in cubed )
2. V = 5 ( base ) x 6 ( height ) x 3 ( length ) divided by 2 = 45in3 ( in cubed )
* make sure you put all your answers for volume in in3
I hope this helped, good luck!
How many times was the number cube rolled
The ball was rolled 50 times.
6+4+8+12+10+10 = 50
Hope this helps; have a great day!
Which equation represents the line shown in the graph?
O A. y = - 2x
B. y = -x
C.y = -1/2x
D.y=1/2x
E.y=2x
Hello, Can you please answer this.
Answer:
Hey!
V = 1906.624 cm^3
SA= 922.56 cm^2
Step-by-step explanation:
The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube.
Volume of a cube = side times side times side.
Which word is an antonym of permit?
Answer:
What are the options? ban, forbid, prohibit, are some examples
Step-by-step explanation:
Answer:
prohibited
permit means to allow so you would need a word that means not allowed which is prohibited
Find the area of the shape below.
Give your answer in terms of pi
6cm
8cm
32cm
The diagram is not drawn to scale.
9514 1404 393
Answer:
164π cm²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...
1/2A = (1/2)(π)(d/2)² = (π/8)d²
The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.
The total area will be ...
area of largest + area of middle-size - area of smallest
= (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²
The area of the shape is 164π cm².
If John has an eye level of 6 feet above the ground and
he is standing 60 feet from a flagpole that is 48 feet tall,
then what is the angle of elevation?
Answer:
Step-by-step explanation:
48fy
Angle ABD is 90°
What is the measure of ZABC?
O A 360
O B. 54°
OC. 90°
OD. 126°
O E. 144º
Identify the slope (CA) of triangle ABC.
it is 1/3 because its the opposite of counting
HELP please correct answer please mathematics
Answer:
96 units^2
Step-by-step explanation:
(8*24)/2=96
the volume of a rectangular prism is 10 cubic feet. what could the dimensions of the prism be
We need 3 numbers that equal 10 when multiplied. 1, 5, and 2 are what come to mind for me.
1x5=5
5x2=10
---
hope it helps
Your teacher is giving a test that is made up of 3 point questions and5 point questions the test is worth 100 points and has 28 questions how many 3 points questions are there ?
Answer:
I am thinking 8 amigo, i could be wrong, so please look it up, or try to think about how to do it
Step-by-step explanation:
I hope you have a blessed day!
Please help with this question. This is due today!
Answer:
3x° = 60°
2x° = 40°
Step-by-step explanation:
3x + 80 +2x = 180° (Linear Pair)
5x + 80 = 180
5x = 180 - 80
5x = 100
x = 20
Substituting the value for x,
3x° = 3 × 20 = 60°
2x° = 2 × 20 = 40°
3m=117 solve da equation
. 3^2x+1 = 1 solve it
Answer:
x= 0
Step-by-step explanation:
pls answer ill give brainliest
Answer:
15
Step-by-step explanation:
the angle is opposite to 60 so it is also 60
60-45 = 15
Hope this helps :)