Answer:
The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.
Step-by-step explanation:
Given
For any given function f(z), it is analytic and not constant throughout a domain D
To Prove
The function f(z) is non-constant constant in the neighbourhood lying in D.
Proof
1-Assume that the value of f(z) is analytic and has a constant throughout some neighbourhood in D which is ω₀
2-Now consider another function F₁(z) where
F₁(z)=f(z)-ω₀
3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.
4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.
5-Replacing value of F₁(z) in the above gives:
F₁(z)≡0 in domain D
f(z)-ω₀≡0 in domain D
f(z)≡0+ω₀ in domain D
f(z)≡ω₀ in domain D
So this indicates that the value of f(z) for all values in domain D is a constant ω₀.
This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.
20 POINTS!!!!!The monthly salary of an employee with 33 hours of training can be written as
last two ahh helpp quick
Answer:
the perimeter is 30ft
Step-by-step explanation:
a square + b square = c square
so first we find your missing side
this is how we solve for that:
a square + 12 squared = 13 squared
a squared + 144 = 169
now we do 169 - 144 = 25
now to find the missing side it is 25 square root which is 5
now that we have found the missing side lengths let's find the perimeter which is: 5 + 12 + 13 = 30 ft
I hope this helped!
A grocery store recently sold 10 cartons of yogurt, of which 5 were raspberry. What is the experimental probability that the next carton of yogurt sold will be raspberry?
Answer:
Step-by-step explanation:
10/16
I've been asking since yesterday :(
Candace is designing a rectangular garden. The garden's diagonal must be 37.7 feet, and the ratio between the garden's base and height must be 12:5. Find the length of the garden's base and height. The garden's base is feet and its height is
Answer:
Step-by-step explanation:
let the base=12x
and height=5x
(12x)²+(5x)²=37.7²
144x²+25x²=37.7²
169x²=37.7²
(13x)²=37.7²
13x=37.7
x=37.7/13=2.9
base=12×2.9=34.8 ft
height=5×2.9=14.5 ft
Each triangle in the net has a base length that measures 6 inches and a height that measures 4 inches. What is the surface area of the pyramid that can be formed from this net? 12 inches squared 24 inches squared 36 inches squared 48 inches square
Answer:
Surface area of triangular pyramid = 48 inch²
Step-by-step explanation:
Given:
Base length of triangle = 6 inches
Height of triangle = 4 inches
Find:
Surface area of triangular pyramid
Computation:
Surface area of triangular pyramid = 4 x [Surface area of triangle]
Surface area of triangular pyramid = 4 x [(1/2)(b)(h)
Surface area of triangular pyramid = 4 x [(1/2)(6)(4)
Surface area of triangular pyramid = 4 x [(1/2)(24)]
Surface area of triangular pyramid = 4 x 12
Surface area of triangular pyramid = 48 inch²
Can you help me with this question please
Answer:
Triangle a was reflected across the x-axis to form triangle b
6ft to 74in as a fraction in lowest terms
Answer:
[tex]\frac{72}{74}[/tex] or [tex]\frac{36}{37}[/tex]
Hope that this helps!
Find the value of x to the nearest tenth.
7.8
4.7
8.4
5.2
“No scam Links, if you send me a link K¡ll Y0URSELF PLS”
Answer:
this isn't an answer but i have to say that 'm laughing at the fact that your telling someone to kts
Step-by-step explanation:
Help me please help ASAP help me ASAP please please help ASAP
Answer:
P = 10π + 30 ≈ 61.4
Step-by-step explanation:
Perimeter = s1 + s2 + s3 + s4
= πd/2 + 15 + πd/2 + 15 = 2 (5π + 15) = 10π + 30 ≈ 61.4
Find the missing side of each right triangle (((((Pythagorean’s Theorem))))))))
Answer:
3
Step-by-step explanation:
36-27 = 9
[tex]\sqrt{9} = 3[/tex]
Help out plsss ......
Answer: 5 hours will take two days.
Step-by-step explanation:
People dont matter here. but what does is hours. 2 hrs a day = 5 days
3hrs a day = 4 days, 4 hrs a day = 3 days, 5hrs = 2 days.
When hrs a day go up 1 the amount of days is reduced at a rate of 1. It's about finding the rate of change. So our rate of change was +1 hour = -1 day.
2,5
3,4
4,3
5,2
Which phrase describes the shape of the data?
.
.
.
12
13
14
15
10
17
18
A. Symmetric, not bell-shaped
B. Not symmetric, bell-shaped
C. Not symmetric, not bell-shaped
D. Symmetric bell-shaped
Answer:
C. Not symmetric; not bell-shaped.
Step-by-step explanation:
In a symmetric data distribution, the shape on the left side is almost the same as the shape on the right side of the middle. In this type of data distribution, if different measure of centers are calculated (mean, median, and mode), they will have a similar figures that are close together. Symmetric distributions are bell-shaped.
On the other hand, if the data distribution is not symetric, it means the left and the right side of the distribution are not equal and do not have the same shape.
The data in the dot plot above is considered as NOT SYMMETRIC. Also, it is not bell-shaped.
Answer:
c
Step-by-step explanation:
Help with the question plz people
You are cheating. I see this is a test.
I’ll give points + brainalist (:
Answer:
The right answer to the question is b
Answer:
B [tex]x \leq 1[/tex]
Step-by-step explanation:
Isolate the x.
[tex]-5x + 10 \geq 5\\-5x \geq -5\\x \leq 1[/tex]
The [tex]\geq[/tex] sign flipped to [tex]\leq[/tex] , because you're dividing with a negative number.
#11-14 Answers are on the side
In order to solve for the variable in the equation 2 (x + 3) + 5 x = 3 (2 x minus 1), Jaleesa begins by applying the distributive property, then combines like terms. Which equation is the result of these steps?
7 x + 6 = 6 x minus 3
2 x + 6 + 5 x = 6 x minus 3
2 x + 3 + 5 x = 6 x minus 1
7 x + 3 = 6 x minus 1
Answer: 7 x + 6 = 6 x minus 3
Step-by-step explanation:
2 (x + 3) + 5 x = 3 (2 x minus 1)Now you distribute.2(x) + 2(3) = 2x+6And 3(2x) minus 3(1) = 6x minus 32x+6+5x = 6x minus 3Then combine like terms2x +5x=7x and there are no other like terms on either side of the equation.7x+6= 6x minus 3Answer:7x+6=6x-3
Step-by-step explanation:
a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio.
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 times
The Louvre pyramid in Paris is built of glass panes. The top row has 4 glass panes, and each row after it has 4 more panes than the previous row. How many panes of glass are in the 16th row?
Answer:
Number of glass panel in 16th row = 64
Step-by-step explanation:
Given:
Number of glass panel in first row = 4
Each next row added number of glass panel = 4
Find:
Number of glass panel in 16th row
Computation:
An = a + [n-1]d
An = given term = A16
a = first term = 4
n = number of term = 15
d = Common difference = 4
An = a + [n-1]d
An = 4 + [16-1]4
An = 4 + [15]4
An = 4 + 60
An = 64
Number of glass panel in 16th row = 64
Use the graph to determine the vertex point of the quadratic function. Is the vertex a
maximum or a minimum?
A) Vertex (2,1), minimum
B) Vertex (1,2), maximum
C) Vertex (2,1), maximum
D) Vertex (1,2), minimum
Answer:
B) Vertex (1,2), maximum
Step-by-step explanation:
First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a maximum value.
The maximum is the point that has the greatest y value. We can see that the greatest y value is at [tex]y=2[/tex]. Going down two units from that spot, we can see that the x value is at [tex]x=1[/tex]. We can plug those into the vertex form, [tex](x,y)[/tex]. By plugging in we get the point [tex](1,2)[/tex].
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.
(Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.)
The difference of the original two-digit number and the number with reversed digits is........
.
Answer:
The difference of the original two-digit number and the number with reversed digits is 18.
Step-by-step explanation:
Since it's a two digit number, let x represent the tens digit and let y represent the units digit.
Thus, the original two digit number is;
10x + y.
The reverse two digit number is;
10y + x.
We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.
Thus;
5(x + y) = (10x + y) - 13
Multiplying out the bracket gives;
5x + 5y = 10x + y - 13
Rearranging gives;
10x - 5x + y - 5y = 13
5x - 4y = 13 - - - - (3)
Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;
4(x + y) = (10y + x) - 21 - - - (4)
Simplifying gives;
4x + 4y = 10y + x - 21
>> 10y - 4y - 4x + x = 21
>> 6y - 3x = 21 - - - (4)
Solving eq(3) and (4) simultaneously gives;
x = 5 and y = 3
Thus,
Original number = 53
Reversed number = 35
Difference between original and reversed number = 53 - 35 = 18
a man diposited 80000 in a bank for 2 years at 10% per annum. after one year policy of bank change
Answer:
if you help me ill help you
Step-by-step explanation:
Carmen's father is 28 years older than her and 3 years ago he was 5 times her age. What are their ages?
Your teacher has disabled instant marking. Your marks will appe
In the diagram below, LMOP is a rectangle whose perimeter is 30 cm.
LM = 12 cm
MNO is a right-angled triangle whose area is 12 cm².
L
12 cm
M
N
Р
Calculate the length of MN.
You must show your working.
+
[4]
Note: Make your final answer clear by writing 'MN = ...
Answer:
............
Step-by-step explanation:
.............
Find the 12th term of the geometric sequence 5, –25, 125, ...
HELP ASAP WILL NAME BRAINLEST
Step-by-step explanation:
[tex]U _{ {12}^{th} } = a {r}^{(n - 1)} \\ = 5 \times {5}^{12 - 1} \\ = 244140625 \\ {12}^{th} \: term \: is \: 244140625[/tex]
Help Plis.........................
Answer: Herba has a greater balance and Nour has more debt.
Step-by-step explanation: Herba's account balance is a positive number and is clearly greater than Nour's account balance; therefore, Herba has a much greater balance. On the other hand, Nour's account balance is a negative number and is clearly less than Herba's; therefore, Hour is in more debt since he has to pay back the money that he borrowed.
Anyone smart at math?
Answer:
The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company. The function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company. Write a function, h(x), that models the total cost to purchase and ship x pounds of chocolate from the company.
Step-by-step explanation:
boom it is big now
Helpppppppppppppppppppp
Answer:
192.5 m²
Step-by-step explanation:
The formula for calculating the area if a circle
= πr²
Find the area of the larger circle first, then subtract the area of the smaller circle.
The area of the larger circle
= π×(21÷2)²
= 346.4 m² (rounded to the nearest tenth)
The radius of the smaller circle
= 21÷2 - 3.5
= 7 m
The area of the smaller circle
= π×7²
= 153.9 m² (rounded to the nearest tenth)
The area of the shaded region
= 346.4 - 153.9
= 192.5 m²
Mario traced this trapezoid.
Answer:
84sq. in
Step-by-step explanation:
Area of the rectangle = length * width
Given
Length = 7in
Width = 12in
Area of the rectangle = 7in * 12in
Area of the rectangle = 84sq. in
Hence the area of the rectangle is 84sq. in
Determine the median of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16, 18, 21
Answer:
The median of the following numbers is 14
Step-by-step explanation:
NO LINKS PLEASE
What is the missing number
Answer:
1
Step-by-step explanation:
To find this, you simply need input points.
The given equation is y=-2/3x +{}. You can plug in the given point, (0,1). This would make the equation 1 = -2/3·0 +{}. To solve this, you simplify the equation. You then get 1 = {}. Hence, The missing number is 1.
1) 14, 16, 18, 20, 22, ...
A) 29, 32, 35 B) 24, 26, 28
C) 34, 38, 42 D) 28, 31, 34
Answer:
What should we do the question pls
