Answer:
(1 + 2i)(1 - 2i)
Step-by-step explanation:
Multiplying a complex number and its conjugate results in a real number.
Thus
1 + 2i and 1 - 2i are conjugates
(1 + 2i)(1 - 2i) ← expand using FOIL
= 1 - 2I + 2I - 4I² [ note i² = - 1 ]
= 1 - 4(- 1)
= 1 + 4
= 5 ← a real number
Answer:
C
Step-by-step explanation:
C
HELP PLSS
What is the slope of the line that passes through the points (-2, -5) and (6, 7)?
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[tex]slope = \frac{7 - ( - 5)}{6 - ( - 2)} \\ [/tex]
[tex]slope = \frac{7 + 5}{6 + 2} \\ [/tex]
[tex]slope = \frac{12}{8} \\ [/tex]
[tex]slope = \frac{4 \times 3}{4 \times 2} \\ [/tex]
[tex]slope = \frac{3}{2} \\ [/tex]
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Answer:
3/2
Step-by-step explanation:
use the slope formula to solve
y2-y1 is 7- (-5) = 12
x2-x1 is 6- (-2) = 8
the formula is y2 -y1 over x2-x1 so
12/8
simplify it to 3/2 (fraction answer)
convert it to decimal if needed: 1.5 (decimal answer)
Jessica has 120 stamps in a collection she bought 16 more Jessica wants plays the stamps equally and six pages of the book how many stamps will be on each page of the book 20 stamps 25 stance 30 stamps or $.40 Stan's
Answer:
30 stamps each
Step-by-step explanation:
This is the correct question:
Jessica has 120 stamps in a collection she bought 60 more Jessica wants to place the stamps equally and 6 pages of a book how many stamps will be on each page of the book
Total stamps = 120 + 60
= 180
Jessica wants to place the stamps equally on 6 pages of a book
how many stamps will be on each page of the book?
Each page of the book = Total stamps / number of pages in the book
= 180 / 6
= 30
Each page of the book will have 30 stamps each
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
9 is 39
find the slope
help with this please it’s due soon :)
1,000 decimeters equal 1 what?
Answer:
It's 1 kilometer
Step-by-step explanation:
The mid segment of the triangle is 5x-1. Find the value of x.
Answer:
The value of x = 6
Step-by-step explanation:
The Midsegment of a triangle theorem states that the midsegment of a triangle is parallel to the third side of the triangle and it’s always equal to the one half or 1/2 of the length of the third side.
Now we can conclude that from the given triangle, the length of midsegment is 5x-1 which is parallel to the side of length 58, and will always equal to 1/2 of the length of the side of length 58.
Mathematically it means:
[tex]5x-1\:=\:\frac{58}{2}[/tex]
solving to find the length of x
[tex]5x-1=29[/tex]
Add 1 to both sides
[tex]5x-1+1=29+1[/tex]
[tex]5x=30[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{30}{5}[/tex]
[tex]x=6[/tex]
Therefore, the value of x = 6
x2 + 8x + 4 = 0
please help
Answer:
x= -3/4 or x= 0.75
Step-by-step explanation:
Find the area of the trapezoid.
Answer:
c
Step-by-step explanation:
4.7 x 10^-3___ 2^2
=
<
>
Answer:
< (less than)
Step-by-step explanation:
4.7*0.001 ___ 4
0.0047___4
0.0047 < 4
10 = -3 + x
Question 4 options:
x = 13
x = 7
x = -30
x = -7
Step-by-step explanation:
10= -3+x
10+3=x
x=13 is ur ans
How does the graph of f(x) = |x| compare with the graph of g(x) = -2|x|
Answer:
the graph of g(x) will be vertically stretched by -2 and it will be steeper
Step-by-step explanation:
What is the slope of the line that passes through points (-10, -3) and (5, 3)?
Answer:
m = 6/15
Step-by-step explanation:
Answer:
(-0.4,1)
Have a beautiful day, and stay safe.
2) There are 500 calories in 5 servings of Sour
Patch Kids. How many calories per serving?
How many calories are there in 8 servings?
A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows: Money-market 25% High-risk stock 10% Moderate-risk stock 15% Short bond 12% Intermediate bond 7% Long bond 8% Balanced 23% A customer who owns shares in just one fund is randomly selected. a) What is the probability that the selected individual owns shares in the balanced fund? For your answer, please report the answer in decimals. For example, 50% would be submitted as .5.
Part b and c are missing and they are;
b. What is the probability that the individual owns shares in a bond fund? c. What is the probability that the selected individual does not own shares in a stock fund?
Answer:
A) P(balanced fund) = 0.23
B) P(bond fund) = 0.27
C) P(no stock fund) = 0.75
Step-by-step explanation:
We are given the percentages of customers in the different funds as follows:
Money-market: 25%
High-risk stock: 10%
Moderate-risk stock: 15%
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Balanced: 23%
A) From the percentages given, we can see that the balanced fund is 23%.
Thus,this represents the probability as addition of all the given percentages gives 100%
Thus, probability that the selected individual owns shares in the balanced fund is;
P(balanced fund) = 23% = 0.23
B) From the percentages given, bond funds given are;
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Thus,
probability that the individual owns shares in a bond fund is;
P(bond fund) = 12% + 7% + 8%
P(bond fund) = 27% = 0.27
C) Probability that the selected individual doesn't own shares in a stock fund is;
P(no stock fund) = 1 - P(stuck fund)
P(stuck fund) = High-risk stock +
Moderate-risk stock = 10% + 15% = 25% = 0.25
Thus;
P(no stock fund) = 1 - 0.25 = 0.75
please help!!! I don't understand how this works.
Please explain how you worked it out...
Thanks!!
Answer:
Step-by-step explanation:
64,000 x 6.2% divided by groups of 1.45 a
Does anybody know what 4/5 ( + 1) is in standard form?
Answer:
4/5 + 1 = 5/5
Step-by-step explanation:
This is because the bottom number is the denominator and the top number is the whole number. So, when you add a whole number to a fraction, the whole number goes to the numerator, not the denominator.
2(5x + 3) - 2(2x - 3)
Factor: 6(x + 2)
Simplify: 6x + 12
Answer:
[tex]\boxed {6x + 12}[/tex]
Step-by-step explanation:
Solve the following expression:
[tex]2(5x + 3) - 2(2x - 3)[/tex]
-Use Distributive Property:
[tex]2(5x + 3) - 2(2x - 3)[/tex]
[tex]10x + 6 - 4x + 6[/tex]
-Combine like terms:
[tex]10x + 6 - 4x + 6[/tex]
[tex]\boxed {6x + 12}[/tex] (final answer)
A box has 39kg mass? the surfcae are of the box
has 150m. calculate the pressure exterted by the box on the floor
Answer:
2.548 pascal
Step-by-step explanation:
force=mass×acceleration due to gravity
force=39×9.8
pressure(p)=force/area
p=382.2/150
p=2.548 pa
HELP ME OUT PLEASE IM BAD AT MATH
Answer:
it is -⅕ if youre asking for the slope
Answer:
I don't know what your looking for but the dots are at -3,-1 and 2,-2
Step-by-step explanation:
A glass is 1/3 full. Then 40cm3 of orange juice is poured in.
The glass is now 5/7 full. What is the total volume of the glass?
Answer:
105cm3
Step-by-step explanation:
subtract 5/7- 1/3
8/21=40cm3
21/21=105cm3=total volume
Answer:
5
Step-by-step explanation:
7/9 divided by 3/4 WITH A MODEL;)
cordenadas cartesianas
Answer:
what
Step-by-step explanation:
what is the volume of a A prism with a base area of 34 m2 and a height of 6 m.
Answer:
34 * 6 = 204
Thank you and please rate me as brainliest as it will help me to level up
To which subset of the real number system does -24 belong?
Answer:
The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers. To represent a number on the number line graphically, we plot a point or its coordinate where it is approximately located on the number line.
Stan borrows $5,500 at a rate of 12% interest per year. What is the amount due at the end of 5 years if the interest is compounded continuously? In your final answer, include your calculations.
Answer:
1.) Without compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year term.
2.) Using the compounded interest formula, you will earn $22883.01 after the 7 year term.
3.) Because of the negative interest, the compounded amount is only $695,929.30.
4.) Putting money in a saving account is saving money with a lower earning compared to investments. Investments have the higher potential of earning more than just having a basic savings account.
Step-by-step explanation:
If you don't have compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year plan.
Help please I mark brainliest
Answer:
negative 5w to the power of 3 .over w to the power of 4
simplify 15 and -3 to (-5/1)
make w to 4 to 4 -3w to the power of 8
then power simplification 6 over 8 to 3 and 4.
give the quadrant each set of coordinates lies in
1 , 5
-2 , 4
-3 , 2
4 , -4
1+8k=-6+8k how many solutions? marking brainlyest
Answer:
there is no solutions
Step-by-step explanation:
Answer:
The equation has no solution
Step-by-step explanation:
1 does not equal -6
solve for the indicated information. solve for x.
Answer:
-9
Step-by-step explanation:
x + 109 + x + 89 = 180° because these angles are supplementary
2x + 198 = 180 subtract 198 from both sides
2x = - 18 divide by 2
x = -9
Peter is planting trees in his yard. He wants the ratio of pine trees to oak trees to be 3 to 2. Peter wants to plant a total of 45 trees. How many pine trees should he plant?
Answer:
Step-by-step explanation:
Let the ratio of pine tree to oak tree=3x:2x
Where no. Of pine tree =3x
No. Of oak tree=2x
Total no. Of tree = 3x+2x=45
5x=45
X=9
So no. Of pine tree=3x=3x9=27 tree is answer