Which expression represents a cube root of 1 + I?
Answer:
D (I think!!)
Step-by-step explanation:
I searched for a complex plane graph and put in each answer and this was the closest.
Cube root of [tex]1+i[/tex] is represented by expression [tex]\sqrt[3]{1+i}[/tex] .
The nth root of number m is represented by, = [tex]\sqrt[n]{m}[/tex]
Here, we have to find expression for cube root of 1 + i
So, substitute n = 3 and m = 1 + i
We get,
Cube root of , [tex]1 + i[/tex] = [tex]\sqrt[3]{1+i}[/tex]
Thus, Cube root of [tex]1+i[/tex] is represented by expression [tex]\sqrt[3]{1+i}[/tex] .
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this is due in an hour so i’d appreciate any help. :))
Answer: m < 1
x² - 2x + m = 0 (*)
a = 1 b = -2 c = m
Δ = b² - 4ac = 4 - 4m
(*) has 2 district real solutions => Δ > 0
⇔ 4 - 4m > 0
⇔ 4m < 4
⇔ m < 1
Step-by-step explanation:
The price of a necklace was increased by 20% to £186.
What was the price before the increase?
Answer:
£223.20
Step-by-step explanation:
20%=37.2
186+37.2=223.2
£223.2
A car’s wheels spin at 1000 revolutions per minute. The diameter of the wheels is 23 inches. You want to know how fast the car is travelling.
A:Circumference
B:Area
Answer:
Speed = 72,285 in/min
Step-by-step explanation:
Given:
Total revolution per min = 1,000
Diameter = 23 in
Radius = 23/2 in
Time = 1 min
Find:
Speed
Computation:
Total distance = 2πr(1000)
Speed = Distance / time
Speed = 2πr(1000) / 1
Speed = 2π(23/2)(1000) / 1
Speed = 72,285 in/min
A field has a length of 6 2/3 yards and a width of 4 3/4 yards. What is the area of the field.
Answer:
Ste-by-step explanation:
That doesn’t answer it stupid
What is the domain of f(x) = 5x?
A. All real numbers greater than or equal to 5
B. All numbers greater than 5
C. All real numbers
D. All nonnegative real numbers
b) Solve x²+5x + 6 = 0
Answer:
x = 2, x = 3
Step-by-step explanation:
Factorization by splitting middle term.
Hope this helped!
Answer:
x = - 3
x = - 2
Step-by-step explanation:
x² + 5x + 6 = 0
x² + 2x + 3x + 6 = 0
x(x + 2) + 3(x + 2) = 0
(x + 3) (x + 2) = 0
x + 3 = 0 or x + 2 = 0
x = - 3 or x = - 2
-TheUnknownScientist
Find the 22nd term of the arithmetic sequence whose common difference is d=5 and whose first term is a,=4.
Answer:
109 is the 22nd term
Step-by-step explanation:
Answer:
109
Step-by-step explanation:
a = 4
d = 5
[tex]a_{22} = a + 21d[/tex]
[tex]a_{22} = 4 + 21(5)\\[/tex]
[tex]a_{22} = 4 + 105[/tex]
[tex]a_{22} = 109[/tex]
hope you understood!
Janet and Nadia each play basketball Nadia has won twice the number of games Janet has is it possible for Janet to have 110 games if the sum of the games naughty and Janet have one together is 24
Answer: d. No; Janet could not have won 10 games because 3x ≠ 24.
Step-by-step explanation:
Assume the number of games won by Janet is x. This would mean that the number of games won by Nadia is 2x.
The total number of games played by both would therefore be;
x + 2x = 3x
Janet has won 10 games and we need to find out if the total number of games can be 24 if this is the case.
Expression would therefore be;
3x = 24
x = 10 so;
3(10) ≠ 24
There is therefore no way that they could have played 24 games if Janet had won 10 games. They would have to have played 30 games.
Which set of points includes all of the solutions for y = negative three halves times x plus two?
line going through 0 co
(x, y) for all real numbers
(x, negative three halves times x plus two) for all real numbers
(−2, 5), (0, 2), and (4, −4)
(−4, 8), (−2, 5), (0, 2), (2, −1), (4, −4)
Given:
[tex]y=-\dfrac{3}{2}x+2[/tex]
To find:
The set of points that includes all of the solutions for the given equation.
Solution:
From the given equation, it is clear that y-values depend on the x-values.
If x is a real number, then y-values are real numbers such that [tex]y=-\dfrac{3}{2}x+2[/tex].
So, the set of points that includes all of the solutions for the given equation is defined as [tex]\left(x,-\dfrac{3}{2}x+2\right)[/tex] for all real numbers.
Therefore, the correct option is B.
In mike's state, the weekly unemployment compensation is 45% of the 26 weekly for the two highest salaried quarters. A quarter is three consecutive months. For july,august, and september, mike earned a total of $22,500. In october, november, and december, he earned a total of $22,900. Determine Mike's weekly unemployment compensation .
Answer:
$785.77
Step-by-step explanation:
Assuming that Mike earned the highest compensation between July and December (third and fourth quarters), his total compensation for the six month period = $22,500 + $22,900 = $45,400
his average weekly salary = $45,400 / 26 weeks = $1,746.15
Mike's unemployment compensation = $1,746.15 x 45% = $785.77
What is 3 1/3 times 3?
Answer:
10
Step-by-step explanation:
friend chicked for life
If A II B and C II A, what is the relationship between B and C?
Answer:
wait what are the two lines in the middle of A and B are the = signs?
Susan made $204 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?
Answer:
156
Step-by-step explanation:
204/7 = 12
12 x 13 = 156
Which choice is equivalent to the quotient below?
Answer:
C. 2
Step-by-step explanation:
I used my calculator.
9 is 20% of what number
Answer:
45
Step-by-step explanation:
Answer:
9 is 20% of 45
please help will give brainliest
Answer:
16π = 50.27
Step-by-step explanation:
First lets find the area of both triangles
A = πr²
Smaller Area:
A = πr²
A = π 3²
A = π9
A = 9π
Larger Area:
A = πr²
A = π(5)²
A = π25
A = 25π
Now subtract the smaller from the larger to get the shaded left over
25π - 9π = 16π
Hope this helps :)
Evaluate the expression.
6*13 - 4 (to the second power)
Answer:
62
Step-by-step explanation:
6*13-4^2
6*13-16
78-16
62
The 4th term of a sequence is 108. Each term after the first is three times the previous term. Write an expression that represents all 4 terms. Write an equation that represents the 4th term. What are the 4 numbers?
Answer:
First 4 terms are a, 3a, 3^2 a and 3^3 a.
The numbers are:
4, 12, 36, 108.
Step-by-step explanation:
This is a geometric sequence and we can write it as:
a, ar, ar^2, ar^3 <---- the first 4 terms.
Here the common ratio r = 3 and the 4th term is 108 so:
a(3)^3 = 108
So the first term a = 108 / 3^3
= 108/27
= 4.
So the second number = 3*4 = 12 and 3rd is 12*3 = 36.
The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1
the cube root of 1 + cube root of 343 equals to what ??
Answer:
I hope this may help
Step-by-step explanation:
Clearly, 343 is a perfect cube. Therefore, group the factors of 343 in a pair of three and write in the form of cubes. Step 3: Now, we will apply cube root to both the sides of the above expression to take out the term in cubes.
In AABC, mZA (3x + 1)º, m B = (x + 14)", and mZC = (4x + 5)º. What is the value of x?
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
3x + 1 + x + 14 + 4x + 5 = 180, that is
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
27, 99
The GCF is.
Its GCF is 9.
Hope it helps
I neeeeeeeeed heeeelp
In AQPL, m
twelve more than twice m
each angle.
m
Answer:
Yes but I do not get what we are going to do here
Step-by-step explanation:
10N
A tunnel has a semicircular cross-section
and a diameter of 10 m. If the roof of a bus
just touches the roof of the tunnel when
the bus is 2 m from one side, how high is
the bus?
Answer:
You should be able to solve this easily just by drawing the tunnel and the bus (you may use 1cm for 1m). Notice how the bottom of the tunnel, the side of the bus, and a radius of the tunnel form a right-angled triangle. All you need to do is to find the sides of the triangle.
Find the measures of the numbered angles.
Answer:
< 1. = 75
< 2. = 105
< 3. = 105
< 4. = 75
< 5. = 75 (given)
< 6. = 105
< 7. = 105
< 8. = 75
A speed skater completers a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compair? Find the number of meters a speed skater and a cheetah travel in one second.
A speed skater travels ___ meters per second.
A cheetah travels ___ meters per second.
Answer:
A speed skater travels 12.5 meters per second
A cheetah travels 26 meters per second
Step-by-step explanation:
To find their speeds, divide the number of meters by the number of seconds:
Speed skater:
500/40
= 12.5 meters per second
Cheetah:
260/10
= 26 meters per second
So, a speed skater travels 12.5 meters per second and a cheetah travels 26 meters per second.
Hi. Please I need help with these questions.
It's urgent . 50pts.
No jokes. This time
Answer No 12 and 13
Answer:
Q 12 roots of the equation
[tex]2x^{2} -6+1=0 \\= (x-\frac{\sqrt{10} }{2})(x+\frac{\sqrt{10} }{2})\\[/tex]
∝ = [tex]\frac{\sqrt{10} }{2}[/tex]
β = [tex]-\frac{\sqrt{10} }{2}[/tex]
no matter if u oppose the root
(i) 2([tex]\frac{\sqrt{10} }{2}[/tex])[tex](-\frac{\sqrt{10} }{2} )^{2}[/tex]+2[tex](\frac{\sqrt{10} }{2} )^{2}[/tex]([tex]-\frac{\sqrt{10} }{2}[/tex])+2(
(ii)([tex](\frac{\sqrt{10} }{2})^{2}[/tex] - 3 ([tex]\frac{\sqrt{10} }{2}[/tex])([tex]-\frac{\sqrt{10} }{2}[/tex]) + ([tex](-\frac{\sqrt{10} }{2})^{2}[/tex]) = [tex]\frac{25}{2}[/tex]
Q 13 roots of equation
[tex]4x^{2} -3x-4=0\\\alpha = -0.693\\\beta = 1.443[/tex]
the roots of the second equation are
x1 = 1/3(-0.693) = -0.231
x2 = 1/3(1.443) = 0.481
the equation is
(x+0.231)(x-0.481)=0
[tex]x^{2}-\frac{1}{4} x-\frac{1}{9}[/tex]
2. At target Carla bought a dress(d) and a backpack(b) for a total cost of $54.
If the price of the backpack(b) is $6 more than 2 times the price of the dress.
How much did the backpack(b) cost?
Answer:
123
Step-by-step explanation:Im pretty sure u have to add some part of it