If you raise a cube root of -2 to the third power, the resulting number will have a congruent argument. We have
-2 = 2(cos 180º + i sin 180º)
Pick a number from the 4 given options, and raise it to the third power using DeMoivre's theorem. For example,
[tex]\left(\sqrt[3]{2}\left(\cos90^\circ+i\sin90^\circ\right)\right)^3=2\left(\cos(3\cdot90^\circ)+i\sin(3\cdot90^\circ)\right)=2(\cos270^\circ+i\sin270^\circ)=-2i[/tex]
so the first option is not a cube root of -2 because the argument 270º is not congruent to 180º. Similarly, the second and fourth options are also not cube roots of -2.
On the other hand,
[tex]\left(\sqrt[3]{2}(\cos60^\circ+i\sin60^\circ)\right)^3=2(\cos180^\circ+i\sin180^\circ)[/tex]
so the third option is a cube root of -2.
It's quadratic, linear or exponential?
simplify the following equation
x^5 * x^-3 =x^n
A. 4
B. -2
C. 2
D. 8
Answer:
x=2
Step-by-step explanation:
x^5 * x^-3 =x^n
We know a^b * a^c = a^(b+c)
x^(5 -3) =x^n
x^2 = x^n
2=n
Answer:
C. 2
Step-by-step explanation:
When you are multiplying the same base number with exponents you add the exponents. 5-3=2. So, n=2. Hope this helps :)
Solve for m. –5 − 5m = –6m
m= _
Answer:
M = 5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−5−5m=−6m
−5+−5m=−6m
−5m−5=−6m
Step 2: Add 6m to both sides.
−5m−5+6m=−6m+6m
m−5=0
Step 3: Add 5 to both sides.
m−5+5=0+5
m=5
Find the area. Will mark brainliest.
Answer:
Step-by-step explanation:
base b = 11 cm
Height h = 6 cm
[tex]Area=\frac{1}{2}bh\\\\=\frac{1}{2}*11*6\\[/tex]
= 11 * 3
= 33 cm²
Answer:
33 cm squared
Step-by-step explanation:
A = 1/2bh
A = 1/2 (11) (6)
A = 1/2 (66)
A = 66/2
A = 33
An SUV costs $25,000. Their is 3% tax. How much will the SUV costs with tax?
Answer:
$25,750
Step-by-step explanation:
25000 x 3%=750
25000+750
Answer:
25,750.
Explanation:
Step one: Find what 3 percent of 25000 is.
25000 divided by 3 (tax percentage)
3% of 25,000 =750
Step two: add that to the original cost of the SUV.
25,000 (original cost) + 750 (3% of original cost) = 25,750
Please mark as brainliest,I need a few more :D
Iris had invited 105 people to her party. She needs 7 large tables to have an equal number of people at each table. Which equation shows how many people will sit at each table
Answer:
105/7= 15 people will seat at each table.
Step-by-step explanation:
Order the numbers from least to greatest
-2 2.5 -3 -3.5 -2,1/2
Answer:
-3.5<-3<-2.1<-2<2<2.5
Simplify the following expression.
(13x+ 9) + (38x+33y)
A. 51x + 4y
B. 22x + 46y
C. 22x + 42y
D. 51x+ 42y
Answer:
The answer would be D.
Step-by-step explanation:
All you have to do is combine like terms.
Pretend that the parenthesis aren't there. 13x + 9y + 38x + 33y.
When you combine like terms, you add or subtract the terms that have the same variable attached.
13x + 38x = 51x.
9y + 33y = 42y
51x + 42y.
I hope I helped.
Brainliest would be appreciated.
Finding a Linear Regression Model
Warm-Up
Find a linear function that models the data in the table
2
y
f(x) =
-4
-6
-1
-1
0
1
2
4
3
7
Answer:
f(x) = 1.8x + 1
Step-by-step explanation:
I graphed the table on the graph below and found the equation of the line.
If this answer is correct, please make me Brainliest!
The length of two sides of a right triangle are leg 12 M and hypotenuse 15 M find find the length of the third side
Answer:
9 M
Step-by-step explanation:
a^2+b^2=c^2
12^2+b^2=15^2
144+b^2=225
-144 -144
b^2=81
b=sqrt of 81
b=9
20 POINTS! The following graph shows the amount of money Jonah earns when he babysits for the family who lives next door. Based on the graph, which of the following statements are true? Select ALL that apply.
When Jonah babysits one hour, he earns $7.50.
The equation e = 4 h can be used to describe this situation.
Jonah earns $20 to babysit for 5 hours.
The number of hours Jonah works depends on how much he earns.
Answer:
The equation e = 4 h can be used to describe this situation.
Jonah earns $20 to babysit for 5 hours.
Step-by-step explanation:
When Jonah babysits one hour, he earns $7.50.
looking at the graph we see at 1 hour he earns 4 dollars false
The equation e = 4 h can be used to describe this situation.
The slope is 4 so y = 4x e = 4h would also work true
Jonah earns $20 to babysit for 5 hours.
Using our equation from above
e = 4*5 = 20 true
The number of hours Jonah works depends on how much he earns.
This would be false
The dependent variable is on the y axis. The amount he earns depends on how much he works
Answer:
the second one and the third one
Step-by-step explanation:
What is the next term of the geometric sequence?
7, 21, 63
First find the common ratio of this geometric sequence.
We will use [tex]r = \frac{a2 }{a1 }[/tex].
The second term is 21 and the first term is 7.
So we have [tex]\frac{21}{7}[/tex] and this reduces to [tex]\frac{3}{1}[/tex] or 3.
So, we take the last term in our geometric sequence
and multiply it by the common ratio we just found.
So we have 63 · 3 which is 189.
So the next term in this geometric sequence is 189.
Find the radius of the sphere with the given volume 36πin^3
Answer:
3 in.
Step-by-step explanation:
Factor the polynomial.
125x^3+27
Answer: (5x+3) (25x^2-15x+9)
(5x + 3) (25x^2-15x + 9)
True or false.
The scale factor of a dilation is the ratio of a length of a side of the image to the corresponding side length of the pre-image.
Answer:
true
Step-by-step explanation:
Answer:
true i think
Which of these are NOT expressions?
Check all that are true.
123
9 + 3 = 12
3(4x + 5)
6 − 5 − 4 = z
3z + 2x
HELP
Answer:
6-5-4=z
9+3=12
Step-by-step explanation:
Expressions has no equal sign
A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly
Answer:
The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.
Which of the following describe 9.49?
Answer:take 9x49
Step-by-step explanation:
You’ll get the answer
A snack mix recipe calls for 2 1/2 cups of pretzels, 4 1/2 cups of dry cereal, 2 1/4 or peanuts, and 3/4 cups of raisins.If you want to make servings of 3/4 cup each, how many can you have with those ingredients?
Answer:
13 1/3 cups
Step-by-step explanation:
find common denominator then add all of the fractions then divide by 3/4
Evaluate: 4+8= 2 x (6 - 3)
16
33
25
Answer:
I'm not so sure because there is no solution to that equation
Step-by-step explanation:
Always start by solving the parenthesis equation and multiply, divide, subtract, or add before you get into adding. Next you add those 2 numbers together and when you look at the answer on the left and on the right.. when they are different numbers, you know there is no solution. I'm not sure if this helped and if it didn't I'm sorry.. I tried.
What single rigid transformation maps TriangleABC onto TriangleA'BC'?
dilation
reflection
rotation
translation
Answer:
The answer would be reflection.
Step-by-step explanation:
the answer is reflection because you would reflect it over the axis.
Answer:
Reflection would map ABC to A'B'C'
Step-by-step explanation:
will give brainlist if its right!
Answer:
7/30
Step-by-step explanation:
or 7 out of thirty.
plz correct me if im wrong, ill fix it
Answer:
7/30
Step-by-step explanation:
First you need to add up all the frequency so you know the total number that they has spun which is 30. So you put the total frequency that number 4 has on. Which is 7/30
Which is a solution to x + 5 = 8?
Answer:
x = 3
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
Then you will get the answer that is x = 3
Hope this helps
BRAINLIEST!!
3. Describe the shape of the data distribution.
Answer: postitive skewed
this is correct
What does the inequality x + 3 ≤ 2 say?
A number and three is at most two.
A number and three is less than two.
A number and three is at least two.
A number and three is no less than two.
Answer:
A number and three is at most two.
Step-by-step explanation:
keywords :)
[tex] > bigger \: than \\ < smaller \: than \\ \leqslant is \: at \: most \\ \geqslant is \: at \: least[/tex]
Someone pls help!!!!
Answer:
c
Step-by-step explanation:
Answer:
11.1
Step-by-step explanation:
sin48=x/15 (x is over 15)
then multiply each side by 15 and it cancels on the right.
you should be left with:
15sin48=x
type that in desmos and you should get:
11.1471723822
Drag the tiles to the correct boxes to complete the pairs.
Match each quadratic equation with its roots.
Answer:
Step-by-step explanation:
What is the value of x?
B
704
C
X
Enter your answer in the box.
30°
o
X=
So the right answer is 80 degree.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]x = 80 \: \: degrees[/tex]
Step-by-step explanation:
[tex]70 + 30 + x = 180 \\ 100 + x = 180 \\ x = 180 - 100 \\ x = 80[/tex]
( Sum of the angles in a triangle is 180 degrees)hope this helps
brainliest appreciated
good luck! have a nice day!
Vanessa drew a line that was 6 inches long. She divided the line into 7 equal-length segments.
How long was each segment?
7/6 in
1/7in
13in
6/7in
Answer:
1/7
Step-by-step explanation:
What equation is represented in this graph.
15 Points need ASAP.
Thanks!
Answer:
y = [tex]e^{x}[/tex]
