Determine which regions contain cube roots of 8i. Check all that apply.
on real axis
on imaginary axis
quadrant 1
quadrant 2
quadrant 3
quadrant 4
Answers
Answer:
this is the right answer
The cube roots of 8i are in the region of on imaginary axis, quadrant 1, and quadrant 2 options 2, 3, and 4 are correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
= ∛8i
The cube roots of 8i are
The cube roots of 0+8i are:
1. √3 + 1i
2. -√3+1i
3. 0-2i
The complex number can be represented as:
= a + ib
a, and b are real numbers.
i is the iota.
Thus, the cube roots of 8i are in the region of on imaginary axis, quadrant 1, and quadrant 2 options 2, 3, and 4 are correct.
Learn more about the complex number here:
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Related Questions
Find the slope of the line that passes through (10, 9) and (1, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
The slope of the line that passes through (10, 9) and (1, 1) will be:
[tex]m=\frac{8}{9}[/tex]Step-by-step explanation:
Given the points
(10, 9)(1, 1)The slope between (10, 9) and (1, 1) is given by
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(10,\:9\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)[/tex]
[tex]m=\frac{1-9}{1-10}[/tex]
[tex]m=\frac{8}{9}[/tex]
Thus, the slope of the line that passes through (10, 9) and (1, 1) will be:
[tex]m=\frac{8}{9}[/tex]what is -5 1/8 * (-2 1/4)
Answers
Answer:
sorry ulit ha mahirap nag tanung
Simplify the expression. (−2i)(8i)
Answers
Answer:
16
Step-by-step explanation:
(−2i)(8i) = 16I hope this helps!
Write the equation of the line that passes through the points (4, -6) and (-2,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
Submit Answer
Answers
Answer:
Hello I'm the one that asked for help with art
Please add me in zoom so you can help!
maithaalabdouli4 (mine is g-mail)
kim types 1,890 words in 27 minutes. Find the unit rate.
Answers
Answer:
70 words per minute
Step-by-step explanation:
1890/27
=70 (words per minute)
PLEASE GIBE BRAINLIEST
Can somebody help me with these 2. Thanks and will mark brainliest!
Answers
Answer reflection
Step-by-step explanation:
Answer:
1. pre-image 2. translation
Use a graphing calculator to graph f(x) = x+cos(kx). Use calculus to determine which values of k lead to a function with no local maxima or minima. What conclusions can be drawn?
Answers
Answer:
Below, you can see the graph of the function:
f(x) = x + cos(k*x)
for different values of k, as follows:
red: k = 1
green: k = 2
orange: k = 0.
Now let's find the values of k such that our function does not have local maxima nor local minima.
First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).
This means that if:
f'(x0) = 0.
Then x0 is a maxima, minima or an inflection point.
Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.
Now we have:
f(x) = x + cos(k*x)
then:
f'(x) = 1 - k*sin(k*x)
This function will be zero when:
1 = k*sin(k*x)
1/k = sin(k*x)
now, remember that -1 ≤ sin(θ) ≤ 1
then if 1/k is smaller than -1, or larger than 1, we will not have zeros.
And this will happen if -1 < k < 1.
Suppose that an individual has a body fat percentage of 15.6% and weighs 156 pounds. How many pounds of his weight is
made up of fat? Round your answer to the nearest tenth.
Answers
Answer:
Percent or percentage or
%
means "per 100" or "out of 100". Therefore
12.3
%
=
12.3
100
.
So 12.3% of 129 pounds is:
12.3
100
⋅
129
1586.7
100
15.867
hops this help ✨
4x= x + 18 X= whattttttttttt
Answers
Answer:
4x=x+18x=
We move all terms to the left:
4x-(x+18x)=0
We add all the numbers together, and all the variables
4x-(+19x)=0
We get rid of parentheses
4x-19x=0
We add all the numbers together, and all the variables
-15x=0
x=0/-15
x=0
Step-by-step explanation:
i need help on this quickly plz will mark brainleist
Answers
Please someone explain and give me ths answer
Answers
Answer:
x = 10
Step-by-step explanation:
An isosceles triangle has two sides of equal length. In this triangle, there is a little line in the middle of two out of the three sides of the triangle. This line tells us that those two sides are equal. We know that the value of these sides are 4x - 8 and 2x + 12. So, to find the value of x, we can set the equations equal to each other and solve for x:
4x - 8 = 2x + 12
Subtract 2x from both sides to isolate x:
2x - 8 = 12
Add 8 to both sides:
2x = 20
Divide both sides of the equation by 2 to find the value of x:
x = 10
Hope this helps :)
Solve 3x2 − 7x − 2 = 0. (1 point)
Answers
Answer:
x=0.571428571
Step-by-step explanation:
4-7x=0
x=0.571428571
Answer:
Step-by-step explanation:
x = 2.591
or
x = -0.257
find the measure of each numbered angle
Answers
Answer:
102 degrees
Step-by-step explanation:
angle in a point is equal to 360 degrees
so 163+95=258
360-258=102
HELP PLZZZZZZZ!!! Compute: -3^4 • 5
Answers
Answer:
405
Step-by-step explanation:
-3 to the power of 4 = -81
-81 times 5 = -405
Answer:
-405
Answer this if you can ASAP. This will Gave you 10 points.
Miss Mahone went shopping for some canned goods which were on sale. She bought three times as many cans of tomatoes I can’t of peaches and two times as many cans of tuna as he has a peaches is Miss Mahoney purchase a total of 23 cans,
Answers
Answer:
but there is 7 tomatoes and I'm guessing 4 peaches and 12cans of tuna
Step-by-step explanation:
you said I can't of peaches ?
what is 523/912 x 23/125
Answers
Answer:
0.10551754386
Step-by-step explanation:
The following information is known about a savings account. Time = 6 years Interest rate = 1.9% Principal = $850 What amount of simple interest will be earned?
A. $16.15
B. $96.90
C. $946.90
D. $9,690.00
Answers
Answer:
I = PRT
T = 6
P = 850
I = 1.9% = 0.019
I = (850)(0.019)(6) = 96.90 <==
Step-by-step explanation:
A rectangle has a perimeter of 42 m and a length of 15 m. What is
the width of this rectangle in metres? (Perimeter = 2(length + width))
Answers
Answer:
6 meters
Step-by-step explanation:
the perimeter is all of the sides added up so to find the added width you subtract the added length which is 30 so 42-30 is 12 so the added width is 12. To find one width you divide 12 by 2 so one width of the rectangle would be 6 meters
2
L
+
2
W
=
P
. The diagonals can be represented as 2+2=2
L
2
+
W
2
=
D
2
. Plugging in, we have:
2+2=42⟹+=21
2
L
+
2
W
=
42
⟹
L
+
W
=
21
2+2=152=225
L
2
+
W
2
=
15
2
=
225
We can square the first equation and subtract the second:
+=21
L
+
W
=
21
(+)2=212
(
L
+
W
)
2
=
21
2
2+2+2=441
L
2
+
2
L
W
+
W
2
=
441
2+2+2−(2+2)=441−225
L
2
+
2
L
W
+
W
2
−
(
L
2
+
W
2
)
=
441
−
225
2=216
2
L
W
=
216
It doesn’t tell us much, but we can now more easily substitute and solve for
L
.
=21−
W
=
21
−
L
& =108
L
W
=
108
(21−)=108
L
(
21
−
L
)
=
108
21−2=108
21
L
−
L
2
=
108
2−21+108=0
L
2
−
21
L
+
108
=
0
We can use the quadratic formula
=−±2−4√2
x
=
−
b
±
b
2
−
4
a
c
2
a
=21±441−432√2=21±9√2=21±32
L
=
21
±
441
−
432
2
=
21
±
9
2
=
21
±
3
2
=21+32=242=12
L
=
21
+
3
2
=
24
2
=
12
=21−32=182=9
L
=
21
−
3
2
=
18
2
=
9
We now know =9
L
=
9
or =12
L
=
12
. From this, we can calculate
W
by plugging
L
into =21−
W
=
21
−
L
.
=21−9=12
W
=
21
−
9
=
12
=21−12=9
W
=
21
−
12
=
9
We have two solutions:
1)=9
1
)
L
=
9
& =12
W
=
12
2)=12 2)L=12 &
=9 W=9
Both of which are the same, though. Our rectangle has side lengths of 9
9
, 12
12
, 9
9
, & 12
12
.
solve for x:
-6 + 4x = 13
Answers
Answer:
x = 19/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-6 + 4x = 13
Step 2: Solve for x
Add 6 to both sides: 4x = 19Divide both sides by 4: x = 19/4Step 3: Check
Plug in x to verify it's a solution.
Substitute: -6 + 4(19/4) = 13Multiply: -6 + 19 = 13Add: 13 = 13Here, we see that 13 does indeed equal 13.
∴ x = 19/4 is a solution of the equation.
explanation: you would subtract -6 since there is an invisible adding sign and then you would subtract -6 from both sides so you would do 13- -6 and that would give you 19. so then it would be 4x=19 and you would divide by 4 since you are doing inverse operation so 19 divided by 4 is 4.75
I’m stuck please help
Answers
Answer:
Im sorry what am i answering then i'll edit and answer
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
ok so the angle ur looking for is 180 when added to the known angle. to find the unkown angle subract the value of the known angle from 180.
180 - 80 = 100
so m 1 = 100
hope this helps :)
edit - sorry i wasnt paying attention
How many solutions would a quadratic equation have if the discriminant is 12? brainliest to the first correct answer
Answers
Answer:
two
Step-by-step explanation:
If the discriminant of a quadratic equation is 12 then it has two distinct real roots. That 12 is not a perfect square, so if the coefficients of the quadratic are integers or otherwise rational, then the roots are both irrational.
Answer:
two
If the discriminant of a quadratic equation is 12 , then it has two distinct real roots. Note that 12 is not a perfect square, so if the coefficients of the quadratic are integers or otherwise rational, then the roots are both irrational.
what is the measure of the angles in the triangle shown below.
Answers
Answer:
x = 35 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees.
Therefore, 48 + 97 + x = 180
Solve for x.
Thus, x = 180 - 48 - 97.
x = 35 degrees
Given the table below that lists points on a line, what is the y-intercept of the line?
Answers
Answer:
D.4
Step-by-step explanation:
If you think of the table as coordinates then 4 would be your y-intercept
g(x) = f(x - 4) + 5
Transformation(s):
Answers
Vertical compression
Please help me....people are just using my points and im running out.....please help me!!
Answers
Answer
I think that c would equal 4
Step-by-step explanation:
If you need the explanation, here it is:
When looking at the y part of the answer, you can see it goes up by three and that it is missing a point. This means that if the equation is linear, it goes up by one. Hope that's right!!
A 9 kg log is being dragged along flat ground by a 120 N force at an angle of 45°. If
the log accelerates at a rate of 0.78 m/s2, what is the normal force acting on the log?
Answers
9514 1404 393
Answer:
3.347 N
Step-by-step explanation:
The vertical component of the dragging force is (120 N)/√2, so the net downward force is the difference between that due to gravity and the upward component of the dragging force.
(9.8 m/s²)(9 kg) -(120 N)/√2 = 3.347 N
The normal force acting on the log is 3.347 N.
Each of the options below describes a relationship that you need to graph in a coordinate plane. which of the options will have a slope of 50? select all that apply.
A.) Driving 450 miles in 9 hours
B.) Reading 250 pages in 5 hours
C.) Buying 4 suit jackets for $240
D.) Spending $200 on 5 pairs of shoes
Answers
The slope of 50 will have the two situations written below,
A.) Driving 450 miles in 9 hours
B.) Reading 250 pages in 5 hours
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that each of the options below describes a relationship that you need to graph in a coordinate plane.
The relationship showing the slope of 50 is:-
Driving 450 miles in 9 hours,
Slope = 450 / 9 = 50
Reading 250 pages in 5 hours
Slope = 250 / 5 = 50
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In one hour, Jason can install at least 6 windows
but no more than 8 windows. Which of the
following could be a possible amount of time, in
hours, that Jason takes to install 100 windows in
a home?
th
A) 12
B) 16
C) 17
D) 18
Answers
Answer:
B.
Step-by-step explanation:
Possible amount of hours to install 100 windows = 16 hrs.
The correct option is (B).
What is an Inequality?In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.
Given,
Number of windows Jason can install in 1 hour = 6 ≤ x ≥ 8
Time taken in installing 1 window = 1/6 ≤ 1/x ≥ 1/8
Time taken in installing 100 windows = 1/6 × 100 ≤ 1/x × 100 ≥ 1/8 × 100
Time taken in installing 100 windows = 12.5 ≤ t ≥ 16.67
Then the possible amount of time taken will be in range of 12.5 to 16.67 hrs.
Hence, Jason will take around 16 hrs. to install 100 windows.
Learn more about Inequality here:
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Which of the graphed systems share the same solution set?
Answers
Answer:
The first answer
Step-by-step explanation:
solve for x 2(4x-1)>2(2x+7)
Answers
Answer:
x>4
Step-by-step explanation: