In scientific notation

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.

Answer:

∠A = 42°

Step-by-step explanation:

sin ∠A = 12/18 = 0.6667

∠A = 41.81°

Answer:

42 degrees

Step-by-step explanation:

Answer:

The area is 9 unit squared

Step-by-step explanation:

Given

The right parameters are:

[tex]Base = 2[/tex]

[tex]Height = 9[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area = 0.5 * Base * Height[/tex]

So, we have:

[tex]Area = 0.5 * 2 * 9[/tex]

[tex]Area = 9[/tex]

Hence, the area is 9 unit squared

Answer:

13.4

Step-by-step explanation:

it is A square +b square =c square which is just 12×12=144 + 6×6=36 and then add them together which is 180, then just square root 180 can do it for every type of question like that and always remember the longest side is c, and the other two it doesn't matter which is A or B.

Answer:

The answer should be D) 4x^ + x + 3

Answer:

48.2 cm

Step-by-step explanation:

The bottom side of the large triangle has length 78 cm.

The bottom side of the right triangle has length 78 cm/2 = 39 cm.

Now we use the Pythagorean theorem to find the vertical side, the spine.

39² + s² = 62²

s² = 3844 - 1521

s² = 2323

s = 48.2

Answer: 48.2 cm

Answer:

The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits.

This means that [tex]\mu = 17, \sigma = 2.5[/tex]

What does the CLT say about the distribution of the sample mean of 49 students?

It is approximately normal.

The mean is 17.

Due to the sample of 49, n = 49, and the standard deviation is [tex]s = \frac{2.5}{\sqrt{49}} = 0.3571[/tex]

The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.

Answer:

648

Step-by-step explanation:

FInd volume of bottom half (9x6x12)

find voume of pyramid 1/3Bh 1/3(11)(54)

Answer:

B. 5x+6y+5z+2

Step-by-step explanation:

3x + 5y + 2z + 2x + y + 3z +5 -3 = 5x +6y + 5z +2

B

Answer:

G: 1 3/4

Step-by-step explanation:

you have to divide, 8 3/4 cups by 5 and you get 1 3/4!

Answer:

G. 1 3/4

Step-by-step explanation:

There are multiple ways you can do this, but there's one easy way.

You can convert 8 3/4 to a decimal, which is 8.75.

From there, divide 8.75 by 5 and you get 1.75, which is 1 3/4/

Answer:

2, The MAD is the MEAN STANDARD DEVIATION meaning it is the average of all the numbers distances away from the MEAN. you just add up all the distances and divide by how many there are.

Answer:

It would be B. 815.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

On edge

Answer:

number of people / land area = population density

57,714 / 836,109 ≈ 0.07 people/[tex]mi^2[/tex]

Answer:

.07 people per square mile

Step-by-step explanation:

We can just divide the people by area

57714/836109=.06902688525 or about .07 people per square mile

I think you got confused about the division and what to divide by what

Look over here we divide the PEOPLE by the AREA so we get the amount of PEOPLE per square mile

If we did it the opposite way we get THE AREA that EACH PERSON HAS

Answer:

1.81

Step-by-step explanation:

the reason is because many may think by using a calculator, and make a mistake by putting 15.6 x 11.6, and think "Oh its 180.96" but they forget that they are multiplying cents, but with money you round the nearest decimal to a cent, so they get 1.81

15.6 x 11.6 = 180.96

flip it and jump the 1 a single spot to the left. (1 80.96)

Now jump the decimal between the 1, and the 8. (1.8096)

Now round the thousandth and ten thousandth to remove the zero and make it one. (1.8096= 1.81)

And that's how you get 1.81

if i'm wrong I need to go back to 5th grade and learn my money and decimals semester.

Answer:

I don't recognize this problem, please make sure the input is complete.

Step-by-step explanation:

sry

Answer:

Pay attention in class

WRITE DOWN FORMULAS

contribute in class

Try to memorize formulas

Try your best!

Try writing down problems cause if you understand how to write a problem on what your learning you have a good chance at getting the answer correct Also if you have any questions on the math your doing right now I could maybe try to help best of luck!

Answer:

18/-4 as equivalent fraction there are many others

Answer:

1.35

Step-by-step explanation:

45 x .03

Answer:

D. 62 inches

Step-by-step explanation:

the object is symmetrical across z, so the lengths on the other side will be the same as x and y

the perimeter would just be 2x + 2y = 2(12) + 2(19) = 62 inches

Answer:

B) f = (6 x 8) + 4

Step-by-step explanation:

Remember this: 1 cup = 8 fl oz

They're asking for the total number of fluid ounces of detergent, and we're given 6 cups and 4 fl oz.

Set up a proportion to find the total number of fl oz from the 6 cups, let variable x be the total oz of the 6 cups:

[tex]\frac{1 cup}{8 oz} = \frac{6 cups}{x oz}[/tex]

The answer should be 48 fl oz, then you add the 4 fl oz to have the total of 52 fl oz.

SORRY just wanted a full break down of the problem solved. I made it too complex than it's supposed to be. Hope my answer helps a bit. :)

The limit as g(x) approaches 11 doesn't exist.

[tex]\lim_{x \to 11} g(x) = DNE[/tex]

It looks like you are working with the following piecewise defined function:

[tex]g(x)=\left \{ {{-9;x<11} \atop {7;x\geq11}} \right.[/tex]

There is a rule in calculus that tells us that for a limit to exist, both lateral limits must be the same as x approaches a given value. This is:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)[/tex]

if and only if this is true, then:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)=\lim_{x \to a} f(x)[/tex]

if that condition isn't met, then the limit doesn't exist.

So let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{-}} g(x) = -9[/tex]

This means that as x approaches 11 from the left, the function will return a value close to -9

Now, let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{+}} g(x) = 7[/tex]

This means that as x approaches 11 from the right, the function will return a value close to 7

You can better visualize this in the graph of the function which I attached to this answer.

Notice that both lateral limits are different, from the left you got a -9 and from the right you got a 7. Therefore, according to the rule I wrote above, the limit does not exist.

For more information on this topic, you can go to the following link:

https://brainly.com/question/17334531?referrer=searchResults

Answer:

D) DNE

Step-by-step explanation:

edge 2021

Answer:

This is confusing

Step-by-step explanation:

Answer:

true

false

true

false

true

false

Step-by-step explanation:

Answer:

2 years

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

1hr: $9

2hr: $18

3hr: $27

4hr: $36

5hr: $45

6hr: $54

Step-by-step explanation:

You can use Desmos, the graphing calculator (online tool)  

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

Answer:

D

Step-by-step explanation:

the first of three parts is what 1/3 is