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Related Questions
Use the theorem in Sec. 28 to show that if f (z) is analytic and not constant throughout a domain D, then it cannot be constant throughout any neighborhood lying in D. Suggestion: Suppose that f(z) does have a constant value ωo throughout some neighborhood in D.
Answers
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.
How many ways can a dozen books be placed on four distinguishable shelves if no two books are the same, and the positions of the books on the shelves matter (ie. if Book 1 is to the left of Book 2, that is different from if Book 1 is to the right of Book 2)
Answers
Answer:
217945728000 ways
Step-by-step explanation:
Given
[tex]Books = 12[/tex] --- 1 dozen
[tex]Shelf = 4[/tex]
The given condition implies that;
[tex]Book\ 1 = 4[/tex] ---- any of the 4 shelves
[tex]Book\ 2 = 5[/tex] --- any of the 4 shelves and either ways of book 1
[tex]Book\ 3 = 6[/tex] --- any of the 4 shelves and either ways of book 1 and 2
-----------------------
----------------
----------
[tex]Book\ 12 = 15[/tex]So, the number of ways is:
[tex]Ways = 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15[/tex]
[tex]Ways = 217945728000[/tex]
Question 17 of 25
Which of the following is not a valid probability?
O A. 0
B. 0.002
O c. 1.2
D. 1
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9514 1404 393
Answer:
C. 1.2
Step-by-step explanation:
A probability is always in the range 0 to 1, inclusive. The value 1.2 cannot be a probability.
Calculate the quotient below. Enter your answer in lowest terms, using the
slash mark (/) for the fraction bar.
Answers
Answer: 8/11
Step-by-step explanation:
What is the perimeter of this polygon? (Geometry)
Answers
Answer:
30 cm
Step-by-step explanation:
Will give the brainliest answer and 20 points to anyone who can give a complete answer and not a scam link or a joke answer or begging for points (those 3 types of answers will be reported)
A grocery store manager notices that this month her store sold a total of 571 gallons of ice cream, which represents a decrease of 18% from last month. How much ice cream did the store sell last month? Round your answer to the nearest integer.
The store sold ____________ gallons of ice cream last month.
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Answer:
673.8
Step-by-step explanation:
If two coins are tossed what is the probability that the first one will show heads and the second coin will show tails
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Answer:
2/4 which simplifies to 1/2
which angle you flip it and how much force you use
Pls help I’ll brainlest
Answers
Answer:
d. 15
Step-by-step explanation:
3 styles x 5 toppings = 15 one-topping options
Which of the following graphs could be a representation of a geometric
sequence?
Answers
Answer:
Third one
Step-by-step explanation:
In geometric sequence, the graph must have one slope
The graphs could be a representation of a geometric
sequence are given by option (A), option (B) and option (D)
What is a geometric sequence?"It is a sequence in which the ratio between consecutive terms is equal."
For given question,
We need to identify the graphs that could be a representation of a geometric sequence.
A sequence [tex]a_1,a_2,...,a_n[/tex] is geometric sequence if [tex]\frac{a_2}{a_1}=r[/tex],
[tex]\frac{a_3}{a_2}=r[/tex],. . ., [tex]\frac{a_n}{a_{n-1}} = r[/tex]
This means, for geometric sequence the number being multiplied each time is constant.
And the geometric sequence is of the form
[tex]a_1,(a_1r),(a_1r^2),...[/tex]
If we graph the geometric sequence then it would be non-linear.
From above pattern of geometric sequence, we can say that the graph of the geometric sequence is exponential in nature.
Therefore, the graphs could be a representation of a geometric
sequence are given by option (A), option (B) and option (D)
Learn more about the geometric sequence here:
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State the relationship between the graphs of f(x) and g(x).
-5
5
X
X
a.
fand g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
C. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
Answers
Answer:
B
Step-by-step explanation:
Calculated
As per the data, f and g are reflections of each other about the y-axis. The correct option is A.
What is graph?To graph is to create a diagram that depicts a relationship between two or more things. A graph can be made by drawing a series of bars on graph paper.
A graph (also known as an undirected graph to distinguish it from a directed graph or a simple graph to distinguish it from a multigraph) is a pair G = (V, E), where V is a set with vertices (singular: vertex) and E is a set of paired vertices with edges.
The relationship between the graphs of f(x) = -5/x and g(x) = 5/x is that they are reflections of each other about the y-axis.
To see this, note that replacing x with -x in f(x) gives f(-x) = -5/(-x) = 5/x, which is the same as g(x). Therefore, the graphs of f(x) and g(x) are symmetric with respect to the y-axis.
Thus, the correct option is A.
For more details regarding graph, visit:
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Your question seems incomplete, the probable complete question is:
State the relationship between the graphs of f(x) and g (x)
f(x) = -5/x, g )x) 5/x
a. f and g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually
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Answer:
Step-by-step explanation:
In order to determine her pulse rate, Michaela's nurse counted 24 beats in 15 seconds.
At this rate, how many beats would she have in 60 seconds?
Answers
What is the area of a triangle with base 10 cm and height 17 cm
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Answer:
85 cm
I have to use 20 characters to answer so extra space here :/
Follow the steps for dividing decimals. Then, round to two decimal places (hundredths).
1.476)6.380
Answers
Answer:
4.32
Step-by-step explanation:
The steps required are:
4.322
1.476 )6.380
5.904
____
0.476
0.4763
0.4428
_____
0.0335
0.03358
0.02952
_____
0.00406
0.004060
0.002952
_____
0.0011080
Therefore, the answer is 4.32.
The function g(x) is a transformation of the quadratic parent function, f(x)
What function is g(x)?
Answers
Answer:
Option A.
Step-by-step explanation:
The parent function is the quadratic function, that is:
[tex]f(x) = x^2[/tex]
Function g:
The function g is the function f concave down, that is, -f.
Also, for the parent function, we have that y = 1 when x = 1. On the function g, otherwise, we have that when x = 1, y = -1/3. So:
[tex]g(x) = -\frac{1}{3}f(x) = -\frac{1}{3}x^2[/tex]
The correct answer is given by option A.
-3x^2
just did it and it’s correct. Your welcome <3
1 ) Ms. Allgood donated 63 books to her class. She would like to provide an equal number of books to each of her 9 students.
Answers
Answer:
7
Step-by-step explanation:
Answer: 7
Step-by-step explanation: 63 divided by 9 is 7, so Ms. Allgood can give all her 9 students 7 books each
A rectangular parking lot has a length that is yards greater than the width. The area of the parking lot is square yards. Find the length and the width.
Answers
Answer:
length = 18yd
Width = 10yd
Step-by-step explanation:
Complete question
A rectangular parking lot has a length that is 8 yards greater than the width. The area of the parking lot is 180 square yards. Find the length and the width.
Area of the parking lot - length * width
A = LW
Given
Area = 180sq. yd
If the parking lot has a length that is 8 yards greater than the width, then;
L = 8 + W
The area becomes;
A = (8+W)W
180 = 8W+W²
W²+8W - 180 = 0
W²+18W-10W - 180 = 0
W(W+18)-10(W+18) = 0
(W-10)(W+18) = 0
W-10 = 0
W = 10yd
Since L = 8 + W
L = 8 + 10
L = 18yd
Hence the length and the width area 18yd and 10yd respectively
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair.
Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 3
Function 1 has the larger maximum at (1, 4).
Function 1 has the larger maximum at (4, 1). Function 2 has the larger maximum at (1, −2).
Function 2 has the larger maximum at (−2, 1).
Answers
Answer:
A.) Function one has a larger maximum at (4,1)
Step-by-step explanation:
The function f(x) = -x² + 8x - 15 will have larger maximum at ( 4,1 ) so option (B) will be correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
A function can be regarded as a computer, which is helpful.
Given 1 function,
f(x) = -x² + 8x - 15
f(x) = -(x² - 8x + 15 )
f(x) = - [(x - 4)² - 16 + 15 ]
f(x) = -(x-4)² + 1
So vertex will at ( 4,1 )
In function 2,
f(x) = −x² + 2x − 3
f(x) = - [ x² - 2x + 3 ]
f(x) = -[ (x-1)² - 1 + 3 ]
f(x) = - (x-1)² - 2
So vertex will at ( 1, -2 )
Since in function(1) maximum is at y = 1 while in function (2) maximus is at y = -2
Hence Function 1 has the larger maximum at (4, 1).
For more about the function
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Which is the same as moving the decimal point 3 to the right in a decimal number
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Please help I’m stuck
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Answer:
96
Step-by-step explanation:
Its a pattern :) BTW can you help with mine please
HELP M,E PLEASE ILL GIVE YOU BRAINLIEST
;
=
Answers
Answer:
Step-by-step explanation: sure i could help you what type is it im a fresh man but im learning softmore stuff
If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
O A. (f+ g)(x) = -x + 3
O B. (f+ g)(x) = x - 7
O c. (f+ g)(x) = -7x-3
O D. (f+ g)(x) = 7x - 7
Answers
Answer:
B
Step-by-step explanation:
you are just combining like terms since you are adding the equations together
(-3x-5) + (4x-2)
-3x + 4x = x
-5 + -2 = -7
so altogether
x -7
I received a $3 discount on a $20 phone case. What was the percent of discount?
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please help!! thanks!!
Answers
Answer:
_________(ANSWER)_________
1.(C)
2.(D)
3.(B)
4.(A)
6.(D)
Explanation:
(BRAINLEIST PLEASE)❤☺️☻♨️♨️☻☺️❤
The cost of three cans of pineapple at the grocery outlet is $2.25 on the cost of six cans of the same kind of pineapple is $4.80 at save market which store has a better price for pineapple grocery outlet or save market
Answers
Answer:
save market has a better price.
Step-by-step explanation:
2.25÷ 3= 0.75
4.80÷6= 0.8
k+5,-1 and 2k are consecutive terms of an arithmetic sequence.
1.find k
2.find the terms.
Answers
Answer:
K enejwjwjenenw
Step-by-step explanation:
Serey mejw catttsn keesuyboard
A 16 1/2 km stretch of road needs repairs. Workers can repair 2 1/4 km of road per week. How many weeks will it take to repair this stretch of road?
Answers
Answer:
7 1/3 weeks
Step-by-step explanation:
Divide 16 1/2 km by (2 1/4 km/wk). We get:
16.5 km
--------------------- = 7 1/3 weeks
2.25 km/wk
in a class of 50 people 30 said that they spend 2 hours playing video games if was a true sample how many students out of a 800 in the school would say they also spend more than 2 hours playing video games
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Answer:
480
Step-by-step explanation:
SOLVE FOR X AND Y!!! DUE IN 2 HOURS!!!
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Answer:
x = 5, y = 5
Step-by-step explanation:
The scale changes from 8 to x+y
to find the change in scale, use the bottom values.
2 + 3 = 5 | 1 + 3 = 4
5/4 = 1.25 (the scale)
8 * 1.25 = 10
x+y = 10
There are 2 possibilities for this, but I feel like it is possibility #1
1. x = 5, y = 5
2. x = 4, y = 6
based on the scatter plot, which is the best prediction of the total number of pages in a book with 4 chapters?
a.) 120
b.) 90
c.) 150
d.) 140
Answers
Answer 90
Step-by-step explanation:
Answer:A-120
Step-by-step explanation: