z²-2i=0
Answer:
Solution given:
z⁴=-4
doing square root on both side
[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]
we know i²=-1
substituting i² we get
z²=[tex]\sqrt{2²*i²}[/tex]
z²=2i
z²-2i=0 is a required answer. where
z² and 2 is real number.
Answer:
z = {-1 -i, -1 +i, 1 -i, 1 +i}
Step-by-step explanation:
Using Euler's formula, we can write the equation as ...
z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer
Then the 4th root is ...
z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3
z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3
z = ±1 ±i
z = {1 +i, -1 +i, -1 -i, 1 -i}
_____
Additional comment
Values of n are only needed in the range 0–3, because the answers repeat for values other than those.
-8.5x +0.43 = -2.97
The solution is x =
Answer:
x=0.4
Step-by-step explanation:
ubtract
0.43
from both sides of the equation.
−
8.5
x
=
−
2.97
−
0.43
Subtract
0.43
from
−
2.97
.
−
8.5
x
=
−
3.4
Divide each term in
−
8.5
x
=
−
3.4
by
−
8.5
.
−
8.5
x
−
8.5
=
−
3.4
−
8.5
Divide
−
3.4
by
−
8.5
.
x
=
0.4
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Answer:i cant see it that well its blurry
Step-by-step explanation:
Answer:
The domain of the graph is {-3, -1, 1, 4}. The range of the graph is {-4, -1, 1, 4}
The domain of the set of ordered pairs is {-4, -3, 1}. The range of the set of ordered pairs is {1, 3, 4}
Step-by-step explanation:
(-1, 16), (-13, 6)
Write an equation in slope-intercept form.
help
Answer:
y=5/6x+101/6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-16)/(-13-(-1))
m=-10/(-13+1)
m=-10/-12
simplify
m=5/6
y-y1=m(x-x1)
y-16=5/6(x-(-1))
y-16=5/6(x+1)
y-16=5/6x+5/6
y=5/6x+5/6+16
y=5/6x+5/6+96/6
y=5/6x+101/6
༒Question༒
refer to attachment
nonsense will get report
Answer:
REFER TO ATTACHEMENT
I HOPE IT IS HELPFULWhats 12 3/8 - 9 1/8
Answer:
3[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Answer:
13/4
Step-by-step explanation:1238−918
Convert 1238
to an improper fraction.
Tap for more steps...
998−918
Convert 918
to an improper fraction.
Tap for more steps...
998−738
Combine the numerators over the common denominator.
99−738
Subtract 73
from 99
.
268
Cancel the common factor of 26
and 8
.
Tap for more steps...
134
please help this is due tomorrow and im having a lot of trouble figuring these out
Interpreting Composite Functions in the Real World
Try it
The volume of air in a balloon is represented by the function von = = nr?, where r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function rt) = 42
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements
Answer:
Answer is A and C on edge
Step-by-step explanation:
The composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.
What is composite function?When the two or more than two functions are written in the form of single function. Then such function is called the composite function.
Let suppose there is a function f(x) and another function g(x). Then the composite function can be given as,
[tex]f[g(x)][/tex]
The volume of air in a balloon is represented by the function,
[tex]V(r)=\dfrac{4}{3}\pi r^3[/tex]
Here, r is the radius of the balloon, in inches.
The radius of the balloon increases with time, in seconds, by the function,
[tex]r(t) = \dfrac{1}{4}t^2[/tex]
The composite function that can be used to determine the volume of the balloon after t seconds is,
[tex]V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{4}t^2)^3\\V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{64}t^6)\\V(r(t))=\dfrac{1}{48}\pi t^6[/tex]
After the 6 seconds,
[tex]V(r(6))=\dfrac{1}{48}\pi (6)^6\\V(r(6))=\dfrac{1}{48}\pi \times46656\\V(r(6))=972\pi[/tex]
Thus, the composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.
Learn more about the composite function here;
https://brainly.com/question/10687170
#SPJ2
someone help me please
Answer:
54m^2
Step-by-step explanation:
Area for a triangle = 1/2(12*9)
12 x 9 = 108
108/2 = 54
Find the future value of an annuity due of $7,000 paid at the beginning of each 6-month period for 8 years if the interest rate is 8%, compounded semiannually. (Round your answer to the nearest cent.)
Answer: Im not sure but i think its 120,960
Step-by-step explanation: i know that there is 2 of the 6-month periods in a year and multiplied that by 8 and got 16. Then i did 7000x.08=560 and then i added that to 7000 and got 7560. FInally i multiplied that by 16 and got 120,960.
I need help with this to
Answer:
-7 , 9
1, -3
5, -9
Step-by-step explanation:
Answer:
The answer is
-7 , 9, 1, -3, 5, -9
Hope this helps;)
if f(x) = 2x^ 2 + 3x,then what is f(−9)?
Answer:
f(-9) = 135
Step-by-step explanation:
Replace x with -9, and evaluate the expression.
f(x) = 2x² + 3x
f(-9) = 2(-9)² + 3(-9)
f(-9) = 2(81) - 27
f(-9) = 162 - 27
f(-9) = 135
In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example. (PLS HELP ILL GIVE 50 points and brainlest also no links please, thanks)
Answer:
8
Step-by-step explanation:
We can find GCF by prime factorising
24 = 2³ × 3
32 = 2⁵
Common factor = 2³ = 8
Hence,
GCF of 24 and 32 is 8.
Hope it helps
2) A gym charges a $30 membership fee and $10 per month. Write an
equation to represent this situation. Find the cost for 5 months. If a new
member paid $160, how many months did they go to the gym?
C = 10m + 30, where C is total cost and m is # of months
C = 10(5) + 30
C = 50 + 30
C = $80
$160 = 10m + 30
160 - 30 = 10m
130/10 = m
m = 13 months
Hope that helps
30 POINTS! "A triangle with the side lengths of these numbers CAN exist: 9, 3, and ____?
Answer:
Let the third side be x
We know that
Sum of two sides of a triangle must be greater than the third side
So,
9 + 3 > x
12 > x (1)
Also, difference of two side of triangle must be smaller than the third side
9 - 3 < x
6 < x (2)
From 1 and 2 we concluded
6 < x < 12
The length of third side would lie between 7 to 11
PLEASE HELP WHAT IS THE DOMAIN AND RANGE OF THIS GRAPH
Pay attention in school bud
In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?
Answer:
See image
Step-by-step explanation:
Compare "like" values to write a proportion (two fractions or ratios set equal to each other) Then you can cross multiply to solve the equation for x
The area of the shaded region is 20 cm. Find the value of x
Which of the following triangles shows a centroid?
Answer:
first option
Step-by-step explanation:
hope you get it
{2x−y=4
y−x=4
Step-by-step explanation:
System of Linear Equations entered :
[1] 2x-y=4 [2] y-x=4
Equations Simplified or Rearranged :
[1] 2x - y = 4 [2] -x + y = 4
Graphic Representation of the Equations :
y + 2x = 4 y - x = 4
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = x + 4
// Plug this in for variable y in equation [1]
[1] 2x - (x +4) = 4 [1] x = 8
// Solve equation [1] for the variable x
[1] x = 8
// By now we know this much :
x = 8 y = x+4
// Use the x value to solve for y
y = (8)+4 = 12
Solution :
{x,y} = {8,12}
Which of the following is a government retirement program that offers a tax incentive?
A. Roth IRA
B. Opt- out program
C. A 529 plan
D. Contribution matching
PLS HELP ME ASAP
DO NOT use any links
Answer:
c
Step-by-step explanation:
can someone help me with this answer plsss
Answer: 44 ft
Step-by-step explanation:
if you add up the right square it adds up to 16 4+4+4+4 all sides are equal since its a square.
The left rectangle is
8+8=16
6+6=12
16+12=28
Now you add the square on the right to the square on the left which is
28+16= 44 ft
Solve using elimination.
y = 3x + 4
3y = 3x + 8
Answer:
4y=9x+12
Step-by-step explanation:
the answer should be that's it
Como se faz o cálculo 13÷5,2
a resposta para a sua pergunta é 2.5 esperança que ajuda por favor marcar como mais inteligente se correto obrigado
Find the slope of the graphed line.
ASAP
y = mx+b
y = 1/3x+4
Sincerely,
William
Eva spent $11.61 downloading songs, and each song cost $1.29. Four students wrote and solved equations to find s, the number of songs that she downloaded. Which student wrote and solved the equation correctly?
Seba’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 10.
Ari’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 9.
Erick’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 14.98.
Daniel’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 9.
Answer:
1.29s = 11.61
s = 9
Step-by-step explanation:
1.29s = 11.61
s = 11.61/1.29
s = 9
Answer:
The correct answer is Ari's work
Step-by-step explanation:
right on edge
Welcome!^^
Chef Ira has 613 pies he wants to sell at his restaurant. Each slice is 16 pie and costs $1.50. Chef Ira sells all the remaining slices of pie.
How much money will he earn?
A. $9.00
B. $9.50
C. $38.00
D. $57.00
Find the slope of the line that passes through (-10, -52) and (56, -37).
is (-a + b)² = a² - 2ab + b² right or wrong, and why?
Answer:
[tex]\huge\boxed{\sf Right.}[/tex]
Step-by-step explanation:
[tex](-a+b)^2[/tex]
Let's apply the formula (x+y)² = x² + 2xy + y²
Here, x = -a and y = b
So,
= (-a)² + 2(-a)(b) + (b)²
= a² - 2ab + b²
Hence, it has been proved that (-a + b)² = a² - 2ab + b².
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807How do u solve this