If two entire functions agree on a segment of the real axis, must they agree on C?
Answers
No, if two entire functions agree on a segment of the real axis, it does not necessarily imply that they agree on the complex plane.
While it is true that two entire functions that agree on a segment of the real axis will have the same Taylor series expansion and hence the same values on the real line, this does not guarantee that they will agree on the entire complex plane. The behavior of complex functions can differ significantly from their behavior on the real line.
Consider, for example, the entire functions \(f(z) = e^z\) and \(g(z) = e^-^z^\\^2^\). These functions agree on the real axis, \(e^z\) and \(e^-^z^\\^2^\) both reduce to e^x for real values of x. However, on the complex plane, these functions have distinct behaviors. While f(z) is an entire function that grows exponentially in all directions, g(z) has a Gaussian-like shape and decays rapidly as the imaginary part of z increases.
Therefore, agreement on a segment of the real axis does not imply agreement on the entire complex plane, as the complex behavior of functions can be vastly different from their behavior on the real line.
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Related Questions
Which graph models the equation y = 8(0.8)x?
Answers
Answer:
C
Step-by-step explanation:
Plug in two different numbers in the x coordinate and see if the y coordinate matches up with the same line.
Subtract the following polynomials vertically. (8x+5y+4)-(3x-9y-5)
Answers
Answer:
The answer is 5x + 14y + 9
Step-by-step explanation:
Simplify the expression.
~Hoped this helped~
If tan(A+B)=8 and tan B = 1/57 find tan A
Step by Step Please
Answers
tan(A+B) = (tanA + tanB)/(1 - tanA*tanB)
Substitute the given values:
8 = (tan A + (1/57))/(1 - (1/57)*tan A)
Multiplying both sides by (1- (1/57)*tan A), we get:
8(1 - (1/57)*tan A) = tan A + (1/57)
Expanding and simplifying, we get:
8 - (8/57)*tan A = tan A + (1/57)
Bringing terms with tan A to one side, we get:
(8/57 + 1/57) = (9/57)*tan A
tan A = (9/57)*(58/8)
tan A = 9/4
Therefore, tan A = 2.25 (approx)
En una estación de esquí la temperatura más alta ha sido de -2°C, y la
más baja, de -23°C. ¿Cuál ha sido la diferencia de temperatura?
Answers
The value of y is directly proportional to the value of x. When x = 3.5, the value of y
is 14. What is the value of y when x = 7?
Answers
In the proportional relationship, the value of y when x = 7 is 28.
How to find the value of variables in a directly proportional relationship?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.
Therefore, the value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14.
Hence,
y ∝ x
y = kx
where
k = constant of proportionalitywhen y = 14 , x = 3.5
14 = 3.5k
k = 14 / 3.5
k = 4
Therefore, let's find the value of y when x = 7.
y = 4 × 7
y = 28
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Two hundred liters of a punch that contains 35% fruit juice is mixed with300 liters of another punch. the resulting fruit punch is 20% fruit juice. find the percent of fruit juice in the 300liters of punch
Answers
If two hundred liters of a punch that contains 35% fruit juice is mixed with 300 liters of another punch and the resulting fruit punch is 20% fruit juice, then the percent of fruit juice in 300 liters of punch is calculated to be 10%.
The percentage of fruit juice in 300 liters of punch can be calculated by forming a linear equation.
A linear equation also termed a first-degree equation is an equation with one or more variables that have the highest power of one.
A linear equation for this problem can be given as:
the volume of the first punch × percentage of fruit juice in the first punch + the volume of the second punch × percentage of fruit juice in the second punch = total volume × total percentage of fruit juice
Consider x = percentage of unknown fruit juice
Now add the given values in the equation:
200 × 35 + 300(x) = 500 × 20
7000 + 300(x) = 10000
300(x) = 10000 - 7000
300(x) = 3000
x = 3000 / 300
x = 10%
Hence, the percentage of fruit juice in 300 liters of punch is calculated to be 10%.
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The simple interest on an investment of $7540 over 8 years is $1749.28.
If the annual interest rate is R, find R as a percentage to the nearest one decimal place.
Enter each line of working as an equation.
Answers
Answer:
41.38%
Step-by-step explanation:
A= P(1+in)
7540 = 1749.28 + 13994.25i
5790.72= 13994.25i
i=0.41379×100
i=41. 38%
do you know how to find the reference angles?
Answers
1st quadrant (0° to 90°) : only the angle
2nd quadrant (90° to 180°) : 180° - angle
3rd quadrant (180° to 270°) : angle - 180°
4th quadrant (270° to 360°) : 360° - angle
Example:
1) 152°
This angle lies in second quadrant.
So reference angle: 180° - 152° = 28°
2) 300°
This angle lies in fourth quadrant.
So reference angle: 360° - 300° = 60°
3) 192°
This angle lies in third quadrant.
So reference angle: 192° - 180° = 12°
Find the area of the triangle described below. Round to the nearest hundredth.b = 20, a = 29, c = 21
Answers
Solution
We want to find the area of the triangle given te sides
b = 20
a = 29
c = 21
Note: Hero formula for calculating the Area of a Triangle
We will first find S
\(\begin{gathered} S=\frac{a+b+c}{2} \\ S=\frac{29+20+21}{2} \\ S=35 \end{gathered}\)To find the Area
\(\begin{gathered} Area=\sqrt[]{S(S-a)(S-b)(S-c)} \\ Area=\sqrt[]{35(35-29)(35-20)(35-21)} \\ Area=\sqrt[]{35\times6\times15\times14} \\ Area=\sqrt[]{44100} \\ Area=210 \end{gathered}\)Therefore, the area is
\(Area=210\)
in a two-tailed 2-sample z-test you find a p-value of 0.0278. at what level of significance would you choose to reject the null hypothesis? select all that apply.
Answers
The situation leads to the conclusion that 0.05 is the proper significance threshold to reject the null hypothesis.
What is the p-value?A statistical calculation known as a p-value is employed to assess the applicability of a hypothesis to the data.
A p-value establishes the likelihood that the outcomes that were observed would occur if the null hypothesis were true.
The found difference becomes statistically more significant as the p-value decreases.
The null hypothesis is probably accurate if P > 0.05. The likelihood that the alternative hypothesis is accurate is one less than the P value.
If the test outcome is unreliable or statistically significant, the test hypothesis must be rejected (P 0.05).
If the P value is above 0.05, no effect was seen.
So, if the p-value is less than the significance level, the null hypothesis will be rejected.
Both a 5% and 10% level of significance can be used to reject the null hypothesis, however, a 5% level of significance is preferable because it results in a confidence level of 95%, whereas a 10% level of significance results in a confidence level of 90%.
In essence, the significance level reflects the likelihood that the null hypothesis will be rejected when it is true, and the lower the likelihood of taking that risk, the better.
Thus, the circumstance suggests that 0.05 is the appropriate significance threshold.
Therefore, the situation leads to the conclusion that 0.05 is the proper significance threshold to reject the null hypothesis.
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Complete question:
In a two-tailed 2-sample z-test you find a P-Value of 0.0278. At what level of significance would you choose to reject the null hypothesis?
Necesito ayuda con los ejercios 3,5,7,9,11,13
Answers
Slope of the line passing through (-5,-4) and (-1,3)is 1.75
The slope formula
slope = (y₂ - y₁) / (x₂ - x₁)
Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.
The points belong to an increasing, linear function.
Equation: y = 1.75x + 4.75.
m=7/4=1.75.
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PLEASE HELP ASAP!!! will mark brainlest!! find the area.
Answers
Answer:
52
Step-by-step explanation:
A thin piece of wood of uniform density in the shape of an equilateral triangle with side length 3 inches weighs 12 ounces. A second piece of the same type of wood, with the same thickness, also in the shape of an equilateral triangle, has side length of 5 inches. Which of the following is closest to the weight, in ounces, of the second piece?
(A) 14
(B) 16
(C) 20
(D) 33.3
(E) 55.6
Answers
Answer:
D 33.3
Step-by-step explanation:
Im smart
Which of the lines below is a line of symmetry?
Answers
Answer:
D. Both
Step-by-step explanation:
If you look at one line at a time you'll see that they actually show the exact same thing but the lines are in different spots! Hope this helps!^^
What is the answer to that
Answers
Answer:
(1/3)x + 3 >= 3
<=> (1/3)x >= 0
<=> x >= 0
=> The only value from set satisfies, that is 0.
Hope this helps!
:)
Answer:
0
Step-by-step explanation:
⅓x + 3 》3
⅓x 》0
x 》0
PROVE that x² + y² = r². you must explain your answer.
Answers
Answer:
Suppose f(x,y)=x2+y2
Let’s look at the partial derivatives of this function:
∂f∂x=2x
∂f∂y=2y
So apparently, at each (x,y) coordinate pair (black dots below), the gradient of f(x,y) is pointing in the same direction as the position vector itself (it is only twice as large). Knowing that an isocline f(x,y)=C (a curve on which f(x,y) is constant) must be perpendicular to the gradient of f(x,y) . This yields the following image:
This image depicts for two position vectors (black dots), the gradient (blue vectors), and the perpendicular direction in which f(x,y) is constant (red line fragments).
Doing this for many positions we see that this creates circles:
Therefore setting f(x,y)=C , yields a circle in the 2D plane, with radius r=C−−√ .
EDIT: again, thanks to Gilles Castel for the nice graphics!
A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are thehyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it was sometimes called a fourth type of conic section.
In the Cartesian coordinate system, the graph of a quadratic equation in two variables is always a conic section and all conic sections arise in this way. The most general equation is of the form
The conic sections described by this equation can be class
Consider a triangle with hypotenuse r and angle θ . As θ goes from 0 to 2π it traces out a circle.
The x and y coordinates are give by the basic trig equations:
x=rsin(θ)
y=rcos(θ)
Now if we compute x2+y2 we get
x2+y2
=r2sin2(θ)+r2cos2(θ)
=r2(sin2(θ)+cos2(θ))
=r2(1)
Hence x2+y2=r2 .
will give brainliest if right!!! pls helppp
Answers
Answer:
i think B is the answer
The printed price of a DVD player is $30. If the buyer pays a sales tax of 8%, find the price at which the
DVD player is sold?
Answers
Answer:
It was sold at $32.40.
Step-by-step explanation:
hope this helpss :))
What is the distance between the points (10,6) and (1,4)? If necessary, round
your answer to two decimal places.
A. 9.22 units
B. 7.81 units
C. 61 units
D. 85 units
Answers
Distance:-
\(\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)
\(\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}\)
\(\\ \rm\Rrightarrow \sqrt{9^2+2^2}\)
\(\\ \rm\Rrightarrow \sqrt{81+4}\)
\(\\ \rm\Rrightarrow \sqrt{85}\)
\(\\ \rm\Rrightarrow 9.22units\)
a corner of a tiled floor is shown. if the entire floor is tiled in this way and each of the four corners looks like this one, then what fraction of the tiled floor is made of darker tiles?
Answers
The fraction of the tiled floor is made of darker tiles is = \(\frac{4}{9}\)
Now, According to the question:
Let's know:
What is a fraction in math?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
The given data is;
A corner of a tiled floor is shown.
If the entire floor is tiled in this way and each of the four corners looks like this one.
To find fraction of the tiled floor is made of darker tiles.
Take the total darker portion is 16
All is = 6 x 6 = 36
The fraction of the tiled floor is made of darker tiles will be:
\(\frac{16}{36}=\frac{4}{9}\)
The answer is:
= \(\frac{4}{9}\)
Hence, The fraction of the tiled floor is made of darker tiles is = \(\frac{4}{9}\)
a box contains six green balls five red balls and eigth yellow balls how many ways are there of choosing ten balls from the bopx if the number of green balls chosen must be even
Answers
The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways
To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.
First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.
Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.
The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.
Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:
(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)
Simplifying this expression gives a total of 15,946 ways.
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Type the expression that results from the following series of steps:
Start with x and double it.
Answers
Answer:
\(2x\) is the expression we determine after following the steps 'Start with x and double it'.
Step-by-step explanation:
As we have to determine the expression based on a mentioned series of steps.
The series of steps:
start with x and double it.As the double value of x would be 2x, therefore, the required expression would be: 2x
Therefore, \(2x\) is the expression we determine after following the steps 'Start with x and double it'.
What is the unit rate of 92 dollars for 2 video games
Answers
Answer:
It is $46 per video game because 92 divided by 2 is 46.
Step-by-step explanation:
1. Suppose you pick a card at random from the 13 clubs of a
standard deck. What is the probability:
Mate
А
K
Q
J
10
9
8
updi
Grad
6
3
2
Mast
>
Men
Cont
Disc
I
Tesch
1. It is a face card? (Write answer as a fraction)
Mad
Near
Onel
STEN
2. It is a club? (Write answer as a fraction)
Answers
Answer:
50/50
Step-by-step explanation:
the half life of radium is 1690 years if 8 grams are present now how many grams will be present in 100 years
Answers
So, approximately 7.71 grams of radium will be present after 100 years.
To calculate the remaining amount of radium after 100 years, we will use the half-life formula:
Remaining Amount = Initial Amount * (1/2)^(time passed / half-life)
Here, the initial amount is 8 grams, the half-life is 1690 years, and the time passed is 100 years.
Step 1: Plug in the values
Remaining Amount = 8 * (1/2)^(100 / 1690)
Step 2: Calculate the exponent
Exponent = 100 / 1690 ≈ 0.05917
Step 3: Calculate the base raised to the exponent
(1/2)^0.05917 ≈ 0.9634
Step 4: Multiply the initial amount by the base raised to the exponent
Remaining Amount = 8 * 0.9634 ≈ 7.7072
So, approximately 7.71 grams of radium will be present after 100 years.
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Scale Factor: 1/2; Center: point N
Answers
The new coordinates of points M and O is determined as;
M = (0.5, - 1)
O = (2.5, -2).
What is the new coordinate of points of M and O?The new coordinate of points M and O after applying the scale factor is calculated as follows;
The given scale factor = 1/2
The current coordinates of point M and O is;
M = (1, - 2)
O = (5, - 4)
A scale factor can be used to either enlarge a figure or decrease a figure.
When the scale factor is less than 1, it means the new figure will be smaller than the original figure.
However, if the scale factor is greater than 1, the new figure will be greater than the original figure.
The new coordinates of points M and O is determined as follows;
M = (1 x 1/2, -2 x 1/2) = (0.5, - 1)
O = (5 x 1/2, -4 x 1/2) = (2.5, -2)
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Answerrr? Please I need help
Answers
Answer:
21
Step-by-step explanation:
\(f^{3}\) + 11g - 4h
f = 3, g = 2 and h = 7.
Substitute the above values into the expression.
\(3^{3}\) + 11 × 2 - 4 × 7
Since there's no addition, subtraction or division signs between 11g and 4h, this basically shows that it is multiplied. Simplify further...
\(3^{3}\) is 3×3×3 which equals to 27
11 × 2 equals to 22, and
-4 × 7 = -28
Put all these found values into an expression.
27 + 22 - 28
Use the B.O.D.M.A.S. rule. First we have to add then subtract.
(27 + 22) - 28
49 - 28 = 21
Zak purchased flashlights for $5.50 each and multi-packs of alkaline D batteries for $4.00 each. Zak purchased 16 items for a total of $82, excluding tax. Formulate a system of equations that can be used to determine the number of flashlights, f, and number of packs of batteries, b, Zak purchased then solve the system using substitution. Check your work algebraically. If you can please help before tomorrow that would be gratefully appreciated. Thank you in advance!
Answers
The number of flashlights purchased is 4.
The number of alkaline D batteries purchased is 12.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Cost of a flashlight x = $5.50
Cost of a batterie y = $4
Number of items = 16
Total cost = $82
We can make two equations.
x + y = 16 _____(1)
x = 16 - y ______(2)
5.50x + 4y = 82________(3)
Putting (2) in (3) we get,
5.50(16 - y) + 4y = 82
88 - 5.50y + 4y = 82
5.50y - 4y = 88 - 82
0.50y = 6
y = 6/0.50
y = 12
Putting y = 12 in (2) we get,
x = 16 - 12
x = 4
We can cross-check.
x + y = 16
12 + 4 = 16
16 = 16
Thus,
The number of flashlights is 4.
The number of alkaline D batteries is 12.
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need with Qu. 20
I don't know how to do it
Answers
Answer:
The answer is either 3 or 15
Step-by-step explanation:
1.Multiply
2. combine like terms
3. Subtract 18k-14k
4. then which gives you 4
5. 4k-36-24
6.4k=12
7. k =3
the reason y I also say 15 is because if you go back over to step 5 and put add instead you would get 60.
it would look like this
4k - 36 + 24
+24 - 24
4k = 60
k = 15
B!!! i don’t understand it!!! by tonight please
Answers
Answer:
x = 7
y = 25
Step-by-step explanation:
First, we know that x=7 because has the same hypotenuse (the long side) and also has a right angle.
Now, to find out y. The equation for discovering the hypotenuse is:
c = √(a² + b²)
C is the hypotenuse.
A is one of the shorter sides.
B is also one of the shorter sides.
NOTICE: THIS EQUATION ONLY WORKS FOR RIGHT TRIANGLES.
So, now you just need to fill the equation in:
c = √(7² + 24²)
c = √(49 + 576)
c = √(625)
c= 25
So, now we have y, the hypotenuse!
Hope this helped :D