Which of the following is a complex number?
OA. -8√-3/1/2
OB. 3√/+√√
9
5
OC. 9-17
OD. 5-2V7
2√7
4
Answers
Answer:
[tex]B)~ 3\sqrt{\dfrac 75} + \sqrt{- \dfrac 95 }[/tex]
Step-by-step explanation:
[tex]3\sqrt{\dfrac 75} + \sqrt{- \dfrac 95 }\\\\\\= 3\sqrt{\dfrac 75} + i\sqrt{\dfrac 95 }\\\\\text{It is now in the standard form of a complex number (a+bi).}[/tex]
Related Questions
PLEASE HELP ME!!
Use triangle XYZ to answer questions 3-5.
1) Use special right triangles to help find the length of segment XY. What is the exact height of triangle XYZ?
Click the keyboard button to enter your answer.
2)What is the exact area of triangle XYZ? Leave your answer in radical terms.
Click the keyboard button to enter your answer. Show your work.
3)What is the area of triangle XYZ to the nearest tenth of a square in?
Answers
The exact height of the triangle is 20.8ft
The area of the right tringle in radical form is 72√3 ft²
The area of the triangle in decimal form is 124.7 ft²
How to find the side and area of a right angle triangle?The side XY or height of the triangle can be found as follows:
Using trigonometric ratios,
tan 60° = XY / 12
XY = 12 tan 60°
XY = 12 × 1.73205080757
XY = 20.7846096908
height = 20.8ft
The area of XYZ = 1 / 2 bh
where
b = baseh = heightTherefore,
The area of XYZ = 1 / 2 × 12 × 20.8 = 124.707658145 = 124.7 ft²
The area in radical form = 1 / 2 × 12 × 12 tan 60°
The area in radical form = 1 / 2 × 12 × 12 × √3 = 144√3 / 2 = 72√3 ft²
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Find the value of n in the following
equation. Give your answer as a
decimal.
n+3.1:6.4= 96
Answers
N= 95.515625
if i spent 35 dollars every 2 weeks how much money would i have spent in a year
Answers
Answer:
$910
Step-by-step explanation:
there are 52 weeks in a year
52/2 = 26
if someone spends 35 every two weeks then
35x26=910
Answer:
840$
Step-by-step explanation:
2*2= 1 month (4weeks)
35*2= 70
70*12 (months of the year) = 840$
What are the zeros of the quadratic function f(x)=8^2-16-15
Answers
Answer:
put formula a square minus b square
hi people ~
can you give me eassy on WORLD AGAINST CHILD LABOUR I need 80 word I already write this but I want 80 word more please give me your own choice on WORLD AGAINST CHILD LABOUR thnks
Answers
Child labor is a service rendered by children in any field during their childhood. This is done due to lack of resources for subsistence, irresponsibility of the parents or lack of resources by the owner to increase their returns on low investment.
This does not matter with the cause of child labor as all the reasons force children to live life without childhood. Childhood is the greatest and happiest period of everyone’s life, during which one learns about the basic strategy of life from parents, loved ones and nature. Child labor interferes with the proper growth and development of children in all aspects, mentally, physically, socially and intellectually.
☆...hope this helps...☆
_♡_mashi_♡_
Which combined inequality has the same solution set shown in the graph?
Number line ranging from negative sixteen to zero with a line beginning with a close point at negative twelve and continuing to the left without end, and a second line beginning with a closed point at negative five and continuing to the right without end.
a ≤ –12 or a > 5
a ≤ –12 or a > –5
–a ≤ –12 or a > –5
–a ≤ –12 or a < –5
Answers
Step-by-step explanation:
there is a problem here. based on your textual description none of the 4 answer possibilities are right.
you said, one line starts with a closed (filled) point at -12 and going to the left (without end). a closed point means the point is included.
so, everything -12 and smaller.
that is a <= -12
the other line starts with a closed (filled) point at -5 and goes to the right without end.
this is a >= -5
so, if your textual description is right, you need an answer option
a <= -12 or a >= -5
FYI
the answer options with -a <= -12 don't make much sense, because that simply means a >= 12. and you don't have any line starting at plus 12 and going to the right.
22. Which is an expression for the area
of ABC?
Answers
Answer:
C
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] product of 2 sides × sin ( angle between the 2 sides )
We are only given 1 side (AC) so require to find AB or BC using the Sine rule
the third angle B = 180° - (48 + 67)° = 180° - 115° = 65°
using the Sine rule to find AB
[tex]\frac{AB}{sin67}[/tex] = [tex]\frac{15}{sin65}[/tex] ( cross- multiply )
AB × sin65° = 15 × sin67° ( divide both sides by sin65° )
AB = [tex]\frac{15sin67}{sin65}[/tex]
Now
A = [tex]\frac{1}{2}[/tex] × AB × AC sin48°
= [tex]\frac{1}{2}[/tex] × [tex]\frac{15sin67}{sin65}[/tex] × 15sin48°
= [tex]\frac{15sin67}{2sin65}[/tex] × 15sin48° → C
need help on how to use percent box
20% of 25
Answers
20% as a decimal is 0.2
Your going to times 0.2 and 25 which gives you the answer which is 5
45 Points!
The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below.
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and
the Sun.
Answers
Answer:
by using pythagoras theorem
Step-by-step explanation:
the distance between sun and moon is hypoteneous
the distance between earth and sun is perpndicular
and distance between earth and moon is base
we can use,
tanx°=distance betwwen earth and sun/ distance betweenearth and moon
or,
sinx°= distance between earth and sun/ distance between sun and moon
we can use other formulas also same as above 2 examples
Hope ithelps
Answer:
The scientist can use trigonometry to figure out the distance between the Moon and Sun. More specifically, using sine (sin).
Step-by-step explanation:
Label the triangle first.
- x should be theta
- y would be opposite (o) as it is across/opposite from the side where x is
- the distance between the sun and moon would be hypotenuse (h), as it's opposite of the right angle.
The calculation that has o and h in it's formula is sine. The formula looks like :
Sin(Ф) = [tex]\frac{o}{h}[/tex]
To solve for the distance between the Sun and Moon, we plug it into the formula and solve
Sin(x) = [tex]\frac{d}{y}[/tex]
- where d is the distance between the Sun and Moon
hope this helps !! :D
Isabel’s competition who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. Graph the function in part e. Is your graph discrete or continuous? Explain.
Answers
Answer:
x= 1.99
f(x) = 1.99x + 3
Step-by-step explanation:
Hope this helps! (;
Question 4 of 21
What is the value of f(4) in the function below?
f(x) = 1/2 • 2x
Answers
Answer:
same rin tayo ganyan rin akin ang hirap
Step-by-step explanation:
good evening po
=1/2 x 8
=4
Answer is 4
Here is a hexagon.
Work out the value of x.
150°
140°
56°
Answers
Answer:
x = 142
Step-by-step explanation:
The sum of the internal angles in a hexagon is 720°
2x° + 150° +56° + 140° +90° = 720
2x° + 436° = 720°
2x° = 720 - 436
x° = [tex]\frac{284}{2} =142[/tex]
Hope this helps
math homework help - please
It costs $3 for children and $7 for adults to attend a school game. If 5000 people attended the game and the total taking was 25000, determine no. of children and adults that atteneded
Answers
Answer:
The number of children is 2500 and the number of adults that attended the game is also 2500.
Step-by-step explanation:
Let us consider that, number of children be x and number of adults be y that attend game.
Since, total 5000 people attend the game.
It costs $3 for children and $7 for adults and the total takings at the door was $25000
Substitute value of x from equation 1 into equation 2.
So that,
Thus, the number of children is 2500 and the number of adults that attended the game is also 2500.
If everyone paid $3 the 5000 would pay 5000 x $3 = $15000
The extra $10000 must come from the extra $4 the adults pay
$10000 / $4 = 2500
So there must be 2500 adults and 2500 children
Find the solution set for |2x-3|=9
Answers
Answer:
x = 6, -3
Step-by-step explanation:
. . . . . . . . . . . . . . . . .
Solve the system of equations.
4x - 2y = 8
3x + 4y = 17
A. (2, 0)
B. (7, -1)
C. (3, 2)
D. (4, 4,)
Answers
Answer:
The answer is option C
Step-by-step explanation:
The solution is in the image
Answer:
Step-by-step explanation:
8x - 4y = 16
3x + 4y = 17
11x = 33
x = 3
12 - 2y = 8
-2y = -4
y = 2
(3, 2)
answer is C
Match the polynomial on the left with the corresponding polynomial on the right.
Add: (3x − 2x² + 4) + (x² - 4x - 5)
-
Find the opposite of: 3x² - x + 1
Subtract: (x² + 3x-4) - (4x-2x²-3)
-3x²+x-1
-x²-x-1
3x²-x-1
3x²+x-1
4x² - 6x 1
Answers
The polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).
What exactly is a polynomial?A polynomial is an algebraic statement made up of variables and coefficients.
Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
a)Given polynomials;
⇒(3x − 2x² + 4) + (x² - 4x - 5)
⇒− 2x²+x²+3x-4x+4-5
⇒-x²-x-1
b)The opposite of the given polynomial is found by changing the sign in the polynomial as;
⇒3x² - x + 1
⇒(-3x²) -(- x) + (-1)
⇒-3x²+x-1
c)The subtraction operation in the polynomial is found as;
(x² + 3x-4) - (4x-2x²-3)
(x²-2x²)+(+3x-4x)+(-4+3)
-x²-x-1
Hence,the polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).
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Anne, Bridget, and Sasha shared a sum of money. Anne took 1/3 of the total amount, and Bridget took 1/4 of the remaining money. After both of them had taken their share, Sasha took 1/2 of what was left. If Anne took $160, how much did Sasha take?
Answers
Answer:
180
Step-by-step explanation:
160= 1/3 * total
160*3 = total
480 = total
bridget = 1/4(total)
bridget = 1/4(480)
bridget took 120
Sasha took 1/2 of 360
Sasha took $180.
A solution contains 8% salt. How much pure water should be added to 25 ounces of the solution to dilute it to a 3% solution? Round to the nearest hundredth if needed.
Answers
41.67 ounce of pure water should be added to 25 ounces of the 8% salt solution to dilute it to a 3% solution
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of pure water needed to dilute the solution. Hence:
8% * 25 = 3% * (x + 25)
2 = 0.03x + 0.75
x = 41.67 ounce
41.67 ounce of pure water should be added to 25 ounces of the 8% salt solution to dilute it to a 3% solution
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A face of a solid is
any one of the flat surfaces of a prism or a pyramid.
a pattern of two-dimensional shapes that can be folded to form a solid figure.
a solid figure with a base that is a polygon and sides that are triangles that meet at the top.
the total area of the surface of a solid figure.
Answers
A face of solid is given by
any one of the flat surfaces of a prism or a pyramid. a pattern of two-dimensional shapes that can be folded to form a solid figure.What is faces?" Faces are defined as the flat surfaces of any object enclosed by its edges or sides . It is always 2-dimensional."
According to the question,
A face of a solid,
any one of the flat surfaces of a prism or a pyramid : Any one of the flat surfaces prism and pyramid represents two dimensional shape.It is a correct answer.
a pattern of two-dimensional shapes that can be folded to form a solid figure : Represents two dimensional and face of a solid is two dimensional .It is a correct answer.
polygon and sides that are triangles that meet at the top: represents three dimensional shape.It is not a correct answer.
the total area of the surface of a solid figure: represents three dimensional shape.It is not a correct answer.
Hence, a face of solid is given by
any one of the flat surfaces of a prism or a pyramid. a pattern of two-dimensional shapes that can be folded to form a solid figure.Learn more about faces here
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Answer:
the second one
Step-by-step explanation:
Elvera Hilton earns $12 an hour at her job. The hours she worked during each of the last four weeks are shown below
Answers
Answer:
12x7 4 times add it up u got the anwser
What is the mean in a math problem
Answers
Answer:
the mean is the average of a set of numbers
Step-by-step explanation:
for example, if a set of numbers were 1,2, and 3, the mean would be 2 because the average is 2.
This can be calculated by adding 1, 2, and 3, and dividing them among all three numbers
1+2+3 = 6
6/3 =2
there are three numbers in the data set that we were trying to get the mean from
give brainliest, please! hope this helps :)
Answer:
generally, the sum divided by the number of summands
Step-by-step explanation:
In math the term "mean" can have different meanings, depending on the context. It will generally refer to the arithmetic mean, if no additional qualifiers are given. The arithmetic mean is also called the average.
__
arithmetic meanThe arithmetic mean of a set of numbers is their sum, divided by the number of numbers. It is sometimes represented by the Greek letter μ or a variable with an overbar.
[tex]\overline{x}=\dfrac{x_1+x_2+\dots +x_n}{n}[/tex]
geometric meanThe geometric mean will be the n-th root of the product of n numbers.
[tex]\text{geometric mean}=\sqrt[n]{x_1\cdot x_2\dots\cdot x_n}[/tex]
harmonic meanThe harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.
[tex]\text{harmonic mean}=\dfrac{n}{\dfrac{1}{x_1}+\dfrac{1}{x_2}+\dots+\dfrac{1}{x_n}}[/tex]
proportionIn a proportion written as ...
a/b = c/d
The two values closest to the middle of the expression (b and c) are called the "means". Those farthest away (a and d) are called the "extremes". It is said that ...
the product of the means is equal to the product of the extremes
If y = –0.96 when x = 2.4, what is y when x = 2.9?
Answers
Answer:
It should be -1.16
Step-by-step explanation:
Hope this helps :)
If y varies directly as as x and y=12 when x=4, find y when x=12
Answers
Answer:
y=48
Step-by-step explanation:
Salazar assigns the same number of homework questions each school day. The ratio table below shows the total number of homework questions assigned after a certain number of school days.
After 16 days, how many total homework questions have been assigned?
A:60
B:80
C:95
D:115
Answers
Answer:
B
Step-by-step explanation:
First, we have to find the rate of change for this problem. To do this, we subtract any two numbers of days and the coordinating two total questions. Let's just use the first two rows. 8-4=4, and 40-20=20. For every 4 days, he answers 20 questions. We can further simplify this by dividing both sides by 4. 4/4=1, and 20/4=5. For every 1 day, he answers 5 questions. Now, to find 16 days, we just multiply both sides by 16. 16*1=16 and 16*5=80. For every 16 days, he answers 80 questions. 80 is our answer.
Hope this helps!
Evaluate the expression.
Answers
Select the correct answer from each drop-down menu. The graph represents the piecewise function.
Answers
The functions will be defined as y = x² if 0 ≤ x < 3, y = -x + 10 if 3 < x ≤ 6, and y = x + 2 if 6 ≤ x ≤ 10.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph is given below.
The function can be defined as
The parabolic equation will be
f(x) = x²
The equation of the absolute function will be
f(x) = |x - 6| + 4
Then we have
[tex]f(x) = \left\{\begin{matrix}y=x^2 & 0\leq x < 3 \\\\y=-x+10 & 3 < x\leq 6 \\\\y=x+2 & 6\leq x \leq 10 \\\end{matrix}\right.[/tex]
More about the function link is given below.
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Which property justifies the following if angle A is congruent to angle B and angle b is congruent to angle C then angle a is congruent to angle c
Answers
Answer: Transitive property of congruence
WHAT IS THE VALUE OF X ?
NEED THIS ANSWER QUICK!!
Answers
Answer:
8.5
Step-by-step explanation:
24x = 17 ×12
24×= 204
divide each side to get your awnser.
Mario is making 12 dozen cookies. Each dozen requires
3
5
cup of flour. How many total cups of flour does Mario use?
Answers
Answer:
7 1/5 cups of flour
Step-by-step explanation:
divide 3/5 which is 0.6 then multiply that by 12, which is 7.2
then convert that into a fraction which is 7 1/5
what percent of their gross pay is being withheld
Answers
a.
21%
b.
22%
c.
23%
d.
24%
Correct answer: b. 22%