Answer:
z = (1 + i)6 =³√2(cos π4+ isinπ4)´6= 8 µcos3π2+ isin3π2)¶= −8i. Hence |z| = 8 and ¯z = 8i. z = (1 + i)
I think I am not real sure
In polar form, we have
[tex]1+i = \sqrt2 e^{i\pi/4}[/tex]
Then by DeMoivre's theorem,
[tex](1+i)^6 = \left(\sqrt2\right)^6 e^{i\,6\pi/4} = 2^3 e^{i\,3\pi/2} = -8i[/tex]
Then
[tex]|z| = |-8i| = \boxed{8}[/tex]
and
[tex]\bar z = \overline{-8i} = \boxed{8i}[/tex]
is 9.407 a rational number?
Answer:
Yes, sure!
Step-by-step explanation:
I said ''Yes, sure.'' Because We number 9.407 is a decimal number, and decimals are always rational numbers.
9.407= 9407/1000
Answer
yes
Step-by-step explanation:
all numbers that have decimal places and are fractions are rational
please mark me the Brainiest
if 2x + 8 = 16, what is the vaule of x + 4?
Answer:
your answer
Step-by-step explanation:
mark me a brainlist
Hello!
✥ Answer: ✥
Value of x + 4 is 8.
❀ Step-by-step explanation: ❀
1. If 2x + 8 = 16, what is the value of x + 4?
2x + 8 = 16
2x = 16 - 8
2x = 8
x = 8 ÷ 2
x = 4
x + 4 => 4 + 4 = 8
Good luck!
If a car is traveling at 45 km/h, what is its speed in meters per second?
Answer:
4.5 meters
Step-by-step explanation:
HELP ME PLEASEEEEEEEE
Answer:
c
Step-by-step explanation:
i search it up
JT has two jobs. He mows yards and washes cars in his neighborhood. Let X represent the amount of weekly
earnings for mowing yards, and let y represent the amount of weekly earnings for washing cars. The mean of X is
$60, and the mean of Y is $35. Which answer choice correctly calculates and interprets the mean of the sum, S= X
+ Y?
Ps = 47.5; next week, JT will earn $47.5.
Hs = 47.5; JT can expect to earn $47.5, on average, in a typical week.
Hs = 95; next week, JT will earn $95.
Ps = 95: JT can expect to earn $95, on average, in a typical week.
Answer is D) 95; JT can expect blah blahh
Thx god bless stay safe
Answer and Step-by-step explanation:
The answer is qualitive because the phrase is describing outside to being cold.
#teamtrees #PAW (Plant And Water)
If f(x) =2x - 3, find the following
1. f(-2)
2. f(7)
3. f(-4)
Answer:
1. f(-2) = -7
2.f(7) = 11
3. f(-4) = -11
Step-by-step explanation:
1. substitute x = -2 in f(x)
The function becomes :
f(-2) = 2×(-2) - 3 = -7
2. substitute x = 7 in f(x)
the function becomes:
f(7)= 2×7 - 3 = 11
What is a 15 of the sequence –7,2, 11, ...?
We can see: Everytime, the new number is the sum of the number behind it with 9.
So the 15th will total add: 9 x 14 = 126
Start from number -7 so the 15th number is : 126 -7 = 119
SO: B.119 is the answer
NL: Sorry my english was bad
Answer:
119
Step-by-step explanation:
We need to find the 15th term in the sequence. The pattern is that each term increases by 9.
We can then count to the 15th term
-7 + 14*9 = 119
Therefore, the 15th term is equal to 119, or answer B.
Jungwon has $15. Notepads cost $2.50 each. How many notepads can Jungwon buy?
what is the equation of the function y= 3/x translated 2 units to the left and seven units up
Answer:
y = (3/x + 2) + 7
Step-by-step explanation:
The additive inside the parenthesis moves the function to the left (adding moves left, subtracting moves right) and the additive outside moves the function up (adding moves up, subtracting moves down).
Please help! I don’t know the answer to this.
Answer:
as we can see b and are reflections as ther are same
Can you explain what a stem and leaf plot is?
Answer:
A stem and leaf plot, or stem plot, is a technique used to classify either discrete or continuous variables. A stem and leaf plot is used to organize data as they are collected. ... Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit
hope it helped!
2x-3y=-1
y=x-1
solve. systems of equations
Answer:
x=4
y=3
Step-by-step explanation:
Determine a series of transformation that would map figure h onto Figure I
Answer:
isnt it figure h???
Step-by-step explanation:
Answer:
A translation right 8 units followed by a reflection over the x-axis
Step-by-step explanation:
The opposite of -17 I need the answer please and thanks
In math how can you tell if something is a function.
Answer:
if the line dosent have the same x's
Step-by-step explanation:
round decimal to the nearest whole number.
12.1
Answer:
12
Step-by-step explanation:
12.1 to the nearest whole number is 12.
Answer:
12
Step-by-step explanation:
12.1 there is no number behind the one, therefore it becomes 12
Which expression has a value that is 6 times the value of the expression 63 - 3y?
ОА. 6x 63 – Зу
O B. 63 – 3y = 6
Ос. 63 = (6 x Зу)
OD. 6 X (63 – 3y)
Rachael made 4 pounds of potato salad. How many ounces of potato salad did Rachael make?
Answer:
i think the answer is 64 ounces
Based on a sample of 400 people, 22% owned cats
The p value is
Answer:
88 people
Step-by-step explanation:
400*22/100
4*22
88 people
Based on a sample of 400 people, the 88 people owned cats.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that on a sample of 400 people, 22% owned cats
Let consider that the number of cats are p then we have;
22% of 400 = p
Thus, p = 400 x 22/100
p = 4 x 22
p = 88 people
The p value is 88
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ2
KBL Ltd. entered into an agreement to lease a vehicle from Morgan Ltd.: Cash price of the vehicle Kshs 20.000 Lease payments: 5 instalments of Kshs 5.142 paid in arrears Required: How much of this finance charge will appear in each year's profit and loss expense in the lessee's books using the actuarial method? (10 Marks)
Finance charge is the amount it costs of borrowing money
The finance charge that will appear in each year's profit and loss expense in the lessee's books are;
[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]
The total financial charge = 5 × 5.142 - 20.000 = 5.71
The annual percentage rate, APR, of an instalment payment is given as follows;
[tex]\dfrac{(1 - (1 + r)^{-5}}{r} \times 5.142 = 20.000[/tex]
Solving using a graphing calculator gives;
r = APR ≈ 0.09 = 9%
The calculation for charges each year is as follows:
Payment interest for the first instalment = 20 × 9% = 1.8
The principal of the first payment = 5.142 - 1.8 = 3.342
The loan balance = 20 - 3.342 = 16.658
Payment interest for the second instalment = 16.658 × 9% = 1.49922
Second payment principal = 5.142 - 1.49922 = 3.64278
Loan balance = 16.658 - 3.64278 = 13.01522
Payment interest for the third instalment = 13.01522 × 9% = 1.1713698
Third payment principal = 5.142 - 1.1713698 = 3.9706302
Loan balance = 13.01522 - 3.9706302 = 9.0445898
Interest for the fourth payment = 9.0445898 × 9% = 0.814013082
Fourth payment principal = 5.142 - 0.814013082 ≈ 4.327986918
Loan balance = 9.0445898 - 4.327986918 = 4.716602882
Fifth payment interest = 4.716602882 × 9% = 0.42449425938
Fifth payment principal = 5.142 - 0.42449425938 ≈ 4.718
Therefore, we have;
[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]
Learn more about the actuarial method here:
https://brainly.com/question/15504405
what does the answer on her sceen mean?
Answer:
Ahhh!! am not seeing the answer on the sceen.
Analyze the diagram below and complete the instructions that follow.
Identify the cross section of the solid shown in the diagram.
A. tetrahedron
B. quadrilateral
C. rectangle
Dsquare
Find the smaller of 2 consecutive even integers if the sum of twice the smaller integer and the larger
integers is -16.
Answer:
n = -6
Step-by-step explanation:
2n + (n + 2) = -16
3n + 2 = -16
3n = -18
The arithmetic sequence a; is defined by the formula: a1=4 +3(i-1)
Answer:
the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence. 1.
Ali has 126 marbles. He has 3 times as many marbles as ravi. Janice has 20 marbles more than ravi.
a) How many marbles does janice have?
b) How many marbles do they have altogether?
Answer:
a) 62
Step-by-step explanation:
126=(Ali)
126÷3=42(ravi)
42+20=62(janice)
b) 126+42+62= 230marbles
How do you solve by undoing for 4-2x-x=12 in Algebra 1
Hi ;-)
[tex]4-2x-x=12\\\\-2x-x=12-4\\\\-3x=8 \ \ /:(-3)\\\\x=-\frac{8}{3}=-2\frac{1}{3}[/tex]
smallest to largest. 14/5, 2.4, 2 1/3, 1.41
Answer:
1.41, 2 1/3, 2.4, 14/5
Step-by-step explanation:
Change everything to decimal points first
Which of the following is equivalent to?
Answer:
[tex]5 \sqrt{ {13}^{3} } = {13}^{ \frac{3}{5} } [/tex]
your sister is selling girl scout cookies that cost $4.25 a box. your family bought 6 boxes. how many more boxes of cookies must your sister sell in order to $255