For the given function, complete parts (a) through (f) below.
f(x,y)= e⁻⁽⁴ˣ²⁺⁴ʸ²⁾
(a) Find the function's domain Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The domain is all points (x,y) satisfying .... (Simplify your answer Type an inequality)
O B. The domain is the entire xy-plane.

Answers

Answer 1

The domain is all points (x, y) satisfying the inequality 4x² + 4y² < ∞. The domain of the function f(x, y) = e^(-(4x² + 4y²)) consists of all points (x, y) in the xy-plane where 4x² + 4y² is finite.

The domain of a function represents the set of all valid input values for the function. In this case, the function f(x, y) is defined as the exponential of -(4x² + 4y²). For the exponential function to be defined, the exponent must be a real number.

In the given function, the exponent -(4x² + 4y²) involves the sum of squares of x and y multiplied by 4. Since squares are always non-negative, 4x² and 4y² are both non-negative. As a result, the sum 4x² + 4y² is also non-negative. Therefore, for the exponent to be defined, 4x² + 4y² must be a finite value.To express this condition mathematically, we can say that 4x² + 4y² is less than infinity (∞). This indicates that the domain includes all points (x, y) for which 4x² + 4y² is finite. In other words, the function is defined for all points in the xy-plane, as long as the sum of the squares of x and y remains finite. Hence, the correct choice for the domain is (B) "The domain is the entire xy-plane.

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Related Questions

Help me piz with its problem

Help me piz with its problem

Answers

Answer:

1

Step-by-step explanation:

6÷2(1+2)

First solve what is inside the parenthesis.

6÷2(3)

Next multiply to get rid of the parenthesis

6÷6

Finally divide

1

Answer:

1

Step-by-step explanation:

6÷2(1+2)

=6÷2(3)

=6÷6

=1

Remember BODMAS ;D

1. there are 15 boys and 17 girls in a math class. what is the ratio of boys to girls? (6.rp.1) * 15:17 15:32 17:15 32:15

Answers

If there are 15 boys and 17 girls in a math class then, the ratio of boys to girls is Option A. 15:17

The ratio of boys to girls in the math class is 15:17. This can be found by dividing the number of boys by the number of girls, which gives:

15/17

This ratio cannot be simplified because 15 and 17 do not have any common factors other than 1. Therefore, the ratio of boys to girls is 15:17.

The ratio of boys to girls in a math class is the relationship between the number of boys and the number of girls. The ratio is a way of expressing the comparison between two quantities. In this case, there are 15 boys and 17 girls in the class. To find the ratio of boys to girls, we divide the number of boys by the number of girls, which gives 15/17. This ratio cannot be simplified further because 15 and 17 do not have any common factors other than 1. Therefore, the ratio of boys to girls in the math class is 15:17. This means that for every 15 boys in the class, there are 17 girls.

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Upload your work at the end email to your teacher for full credit. Do not enter any words/spaces. Your answer should be a whole number. Answer:

Upload your work at the end email to your teacher for full credit. Do not enter any words/spaces. Your

Answers

x = 4

The area of the figure can be found below.

The size of the farm is a rectangle therefore, we use the area of a rectangle to find the area of the farm.

\(\begin{gathered} \text{area of the farm=lw} \\ \text{where} \\ l=\text{length} \\ w=\text{width} \\ l=3x+1+2x+4+5x-2=10x+3=10\times4+3=43 \\ w=2x+1+3x=5x+1=5\times4+1=21 \\ \text{area}=43\times21=903unit^2 \end{gathered}\)

Which expression is equivalent to 1/3 p + 15 ?

Answers

\( \frac{1}{3} p + 15\)

= 1/3(p + 45)

please help me. I would appreciate it alot.​

please help me. I would appreciate it alot.

Answers

Answer:

A. 90

Step-by-step explanation:

It says the scale is 1:6, so we can multiply 15 square cm to, 15 x 6 = 90 square cm!

Hope this Helps! :)

Answer:

A. 90 square cm

Step-by-step explanation:

The scale factor is 1:6

So the scale drawing on the left is the 1.

The object on the right is 6.

The area of the scale drawing is 15 square cm. If we multiply that by 6, we get answer A. 90 square cm.

Find the 97th term of the arithmetic sequence 17, 26, 35, …

Answers

Answer:

881

Step-by-step explanation:

The pattern is add 9. We can see that 3 numbers of the 97 are given. Which means there are 94 unknown numbers. 94 times 9=846. 35 is the last number given. add 846 to 35 and you get 881. therefore, your answer is 881.

Solve the equation 18+k=30

Answers

Answer:

K=12

Step-by-step explanation:

18-30=k

k=12

Answer:

12

Step-by-step explanation:

Step 1:

18 + k = 30

Step 2:

k = 30 - 18

Answer:

k = 12

Hope This Helps :)

There were f frogs in a pond. 88 of the frogs hopped away. Write an expression that shows how many frogs are in the pond now.

Answers

Answer: f - 88 = p

Step-by-step explanation:

f = frogs

p = how many frogs in pond now

F - 88 = p

Hope this helps

Plz mark brainlest

If anyone reading this is in K12, what state are you in?
I do FL

Answers

Answer:

I am I the state of California

combining like terms with a rational coefficients
1.) 3.7x+7.2-2.2x ?
2.) 6.1x-7-8.2x ?

Answers

Answer:

1. 1.5x + 7.2

2. -2.1 x - 7

X
The line of best fit for the graph above has the equation
y= 1.5x + 3. What value does the line predict when
x = 4?
y =

Answers

Answer:

9

Step-by-step explanation:

just plugged in 4 for x

y=1.5(4)+3

hope this helps and is right haha <3

pls hellp need it will give brainly

pls hellp need it will give brainly

Answers

The answer is C. 2^3x3=24

Answer:

c 2^3x3

Step-by-step explanation:

2^3=2x2x2=8  

8x3=24

Which expression represents the phrase,
"One-third the sum of 12 and a number?

a.) 1 /3 ( 12 ) + x
b.) 1 / 3x + 12
c.) 1 / 3 + 12 + x
d.) 1 / 3 ( 12 + x )

Answers

Answer:

the answer is D

Step-by-step explanation:

The answer is d so click the letter d

If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must
be brought to the hospital.

Answers

By using the Law of Syllogism, a conditional should be used to write this statement "If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must be brought to the hospital" as follows: B. If the baby has a fever, then the baby must be brought to the hospital.

What is the Law of Syllogism?

In Mathematics, the Law of Syllogism is sometimes referred to as reasoning by transitivity and it states that if two (2) statements are true, then a third true statement can be logically derived.

Mathematically, the Law of Syllogism follows a specific pattern and can be represented by the following conditional statements:

Conditional statement 1: If P, then Q (P ↔ Q).

Conditional statement 2: If Q, then R (Q ↔ R.

Conditional statement 3: If P, then R ( P ↔ R).

In this context, we can reasonably infer and logically deduce that a sick baby must be taken to hospital based on the given premise in accordance with the Law of Syllogism.

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Complete Question:

Use the Law of Syllogism to write a conditional for the following statement.

If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must be brought to the hospital.

answer choices

If the baby is sick, then the baby must be brought to the hospital.

If the baby has a fever, then the baby must be brought to the hospital.

If the baby has a fever, then the baby is sick.

The table lists data on the hair length and the age of nine girls. Select the points that represent this data.

The table lists data on the hair length and the age of nine girls. Select the points that represent this
The table lists data on the hair length and the age of nine girls. Select the points that represent this

Answers

The points that represent this data are shown in the scatter plot attached below.

How to construct and plot the data in a scatter plot?

In this scenario, the age (in years) would be plotted on the x-axis (x-coordinate) of the scatter plot while the hair length (in inches) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the age (in years) and the hair length (in inches), a linear equation for the line of best fit is given by:

y = 0.0502x + 7.73

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The table lists data on the hair length and the age of nine girls. Select the points that represent this

Solve x^3 = 8/729 please answer

Answers

Answer:

x=2/9

Step-by-step explanation:

x^3=8/729

Hence,

x= cube root of (8/729)

x=cube root of 8

  cube root of 729

x=2

   9

Answer: decimal form : x=0.10475656

Step-by-step explanation:

Take roots of both sides and solve

Which expression is equivalent to -8x^6/ 4x^-3

Answers

Answer:

Step-by-step explanation:

It’s 4x^3+(x2)(x-4)b.-4(x^3-2)+x...

How do you use 30 60 90 triangles

Answers

The hypotenuse
(the side corresponding to 90 degree angle) is twice the leg of the shortest leg

The shortest leg
(the side corresponding to 30 degree angle) is half the length of the hypotenuse

The longest leg
(the side corresponding to 60 degree angle) is the square root of 3 times the length of the shortest leg

Write an equation for the following math sentence.
One half times the difference of twenty and a variable is two thirds

one half times the quantity y minus 20 equals two thirds
one half times the quantity 20 minus y equals two thirds
one half times y minus 20 equals two thirds
one half times 20 minus y equals two thirds

Answers

Answer:

One half times the difference of twenty and a variable is two thirds

one half times the quantity y minus 20 equals two thirds

one half times the quantity 20 minus y equals two thirds

one half times y minus 20 equals two thirds

one half times 20 minus y equals two thirds

0.5(20 - y) = 2/3

One half times the difference of twenty and a variable is two thirds :
1/2(20 - y) = 2/3
[this one im not too sure, please confirm it cause i don't think it is clear enough]

One half times the quantity y minus 20 equals two thirds :
1/2(y - 20) = 2/3

One half times the quantity 20 minus y equals two thirds :
1/2(20 - y) = 2/3

One half times y minus 20 equals two thirds :
1/2 x y - 20 = 2/3

One half times 20 minus y equals two thirds :
1/2 x 20 - y = 2/3

A population of pheasants is declining over time. The number of adults per hectare has decreased from 1,832 in 2012 to 422 in 2016. In which year will the population fall below the minimum viable density, 100 pheasants per hectare?

Answers

The number of pheasants in 2012 was 1832. The number of pheasants in 2016 was 422. The minimum viable density is 100 pheasants per hectare.

So, we need to find out the year in which the population will fall below 100 pheasants per hectare.

First, we need to find out the rate of decline per year which can be calculated as follows: Rate of decline per year = (1832 - 422) / (2016 - 2012)= 1410 / 4= 352.5 per yearNow, let the number of pheasants per hectare be y after t years from 2012.

Then, y = 1832 - 352.5t (as we know the rate of decline per year)We need to find the year in which the population will fall below 100 pheasants per hectare. So, we need to solve the equation:1832 - 352.5t = 100⇒ 352.5t = 1732⇒ t = 1732 / 352.5⇒ t = 4.91 Therefore, the population will fall below the minimum viable density of 100 pheasants per hectare after 4.91 years from 2012, which is around 2017 or 2018.

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If the relationship between the number of tickets sold and the number of hours proportional ? If so, how many tickets were sold in 8 hours ?

If the relationship between the number of tickets sold and the number of hours proportional ? If so,

Answers

Answer:

t = 640

Step-by-step explanation:

tickets are directly proportional to number of hours.

t =kh

we find K.

240 = 3k

we divide by 3 in both sides.

k = 80

we substitute K to find how many tickets.

t =80 × 8

t = 640

it doesn't matter if you chose any two, e.g., you would get the same answer even if you used 5 and 400, or 9 and 720

t = 640..............

the taxi and takeoff time for commercial jets is a random variable x with a mean of 8.3 minutes and a standard deviation of 2.3 minutes. assume that the distribution of taxi and takeoff times is approximately normal. you may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway.

Answers

The probability comes out to be 0.2296

We need to calculate the probability of each jet waiting at least 10 minutes before takeoff.

P(X≥10)=?

Let Z be the standard normal variable.

Z=(X-μ)/σ

Where μ is the mean of the taxi and take-off time for commercial jets and σ is the standard deviation of the taxi and takeoff time for commercial jets.

Z=(X-8.3)/2.3

Using the z-score formula, Z=(X-μ)/σ, we can standardize the value of the variable X to get its respective z-score value, z.

With a mean of 8.3 and a standard deviation of 2.3, the standardized score for a taxi and takeoff time of 10 is:

z=(10-8.3)/2.3 = 0.73913

The probability of a jet waiting at least 10 minutes before takeoff can be calculated as follows:

P(X≥10) = P(Z≥0.73913)

The probability of a standard normal random variable z is greater than or equal to 0.73913 is:

1 - Φ(0.73913)

where Φ(z) is the standard normal distribution function.

Using a standard normal distribution table or calculator, we find that:

Φ(0.73913) = 0.7704

Therefore: P(X≥10) = P(Z≥0.73913)= 1 - Φ(0.73913)= 1 - 0.7704= 0.2296

Thus, the probability of each jet waiting at least 10 minutes before takeoff is 0.2296.

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what is a simpler form of the radical expression ^4 sqrt 2401x^12y^16

Answers

Step-by-step explanation:

To simplify the given radical expression, we can first break down 2401 into its prime factors, which gives us:

2401 = 7^4

We can then simplify the given expression as follows:

^4 sqrt (2401x^12y^16) = ^4 sqrt (7^4 * x^12 * y^16)

= ^4 sqrt (7^4) * ^4 sqrt (x^12) * ^4 sqrt (y^16)

= 7 * x^3 * y^4

Therefore, the simplified form of the given expression is 7x^3y^4.

For each set of points below, determine the distance between them using the distance formula. If necessary express your answer in simplest radical form OR rounded to the nearest tenth.

Answers

where are the points below? i cant do anything if there isnt numbers or anything to work with

Since you didn’t give any points I’ll just give an example, and hope you answer using it

With a set of points (x1, y1) and (x2, y2) you can find the distance by d = [ (x2 - x1)2 + (y2 - y1)2 ]1/2.

Let (x1, y1) be (-4, 5) and (x2, y2) be (-1, -1)

d = [ (-1 - -4)2 + (-1 - 5)2 ]1/2 = [ (3)2 + (-6)2 ]1/2 = [ 9 + 36 ]1/2 = [ 45 ]1/2 = 3*[5]1/2 = 6.7

una escalera de 2,5 m de longitud
se apoya en el suelo a 0,7 m de la
pared. Si la escalera se desliza
verticalmente hacia abajo 0,3 m.
¿cuánto se habrá deslizado
horizontalmente?

Answers

Por lo tanto, se deslizó horizontalmente por 0.656 m.

sea ​​l la longitud de la escalera = 2.5 m

La distancia desde la base de la escalera hasta la pared (d) = 0.7 m

Sea h la distancia desde la parte inferior de la pared hasta la parte superior de la escalera.

Por lo tanto, usando el teorema de Pitágoras:

h² + 0.7² = 2.5²

h² = 2.5² - 0.7²

h² = 5.76

h = 0.24 m

La escalera se desliza verticalmente hacia abajo 0,3 m, por lo tanto, h'= 2.4 m - 0.3 m = 2.1 m

La distancia desde la parte inferior de la escalera hasta la pared (d ') se obtiene usando el teorema de Pitágoras:

h'² + d'² = 2.5²

d'² + 2.1² = 2.5²

d'² = 1.84

d' = 1.356 m

Distancia deslizada horizontalmente = 1.356 - 0.7 m = 0.656 m

Por lo tanto, se deslizó horizontalmente por 0.656 m.

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HELP I WILL CROWN BRAINLIEST
One question only

HELP I WILL CROWN BRAINLIESTOne question only

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

AOBC is a parallelogram ,

Thus :

\(OA = BC = a\)

And ;

\(AC = OB = b \)

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M is the midpoint of AC ,

So :

\(AM = MC = \frac{b}{2} \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

According to case of Cosine in ∆ OAM :

\( {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ \)

So :

\( {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ \)

\( {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ \)

_________________________________

I have something more to tell.

Just for know more...

According to the case of Sine in ∆ OAM :

\( \frac{OM}{ sin(A) } = \frac{

AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ \)

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Given the temperature t (in Fahrenheit) and the wind speed v (in miles per hour), the National Weather Service defines the effective temperature to be: w=35.74+0.6215t+(0.4275t−35.75)

v

0.16 Compose a program that takes two floats t and v from the command-line and prints the wind chill value w

Answers

The wind chill is a measure of how cold it feels when the wind is blowing.

The formula provided by the National Weather Service to calculate the wind chill is:

w = 35.74 + 0.6215t + (0.4275t - 35.75) * v^0.16

where:

- w is the wind chill value

- t is the temperature in Fahrenheit

- v is the wind speed in miles per hour

Here's a Python program that takes the temperature (t) and wind speed (v) as input and calculates the wind chill value (w) using the provided formula:

```python

import math

import sys

def calculate_wind_chill(t, v):

   w = 35.74 + 0.6215 * t + (0.4275 * t - 35.75) * math.pow(v, 0.16)

   return w

# Check if command-line arguments are provided

if len(sys.argv) != 3:

   print("Usage: python wind_chill.py <temperature> <wind_speed>")

else:

   try:

       # Parse the input arguments as floats

       temperature = float(sys.argv[1])

       wind_speed = float(sys.argv[2])

       # Calculate the wind chill value

       wind_chill = calculate_wind_chill(temperature, wind_speed)

       # Print the wind chill value

       print("Wind Chill Value: {:.2f}".format(wind_chill))

   except ValueError:

       print("Invalid input! Please enter numeric values for temperature and wind speed.")

```

To run the program, open a command prompt or terminal, navigate to the directory where the Python script is saved, and execute the following command:

```

python wind_chill.py <temperature> <wind_speed>

```

Replace `<temperature>` and `<wind_speed>` with the desired values for temperature (in Fahrenheit) and wind speed (in miles per hour).

The program will calculate the wind chill value (w) and print it to the console.

Example usage:

```

python wind_chill.py 50 10

```

Output:

```

Wind Chill Value: 43.41

```

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Consider the exponential function f(x) = 57(0.48)What is the 2-unit growth factor for f ? What is the 1-unit growth factor for f ? What is the initial value of f ? f

Answers

The 2-unit growth factor for f is 0.2304.

The 1-unit growth factor for f is 0.48.

The initial value of f is 57.

Given an exponential function f(x) = 57(0.48).

Formula for the exponential function is:

f(x) = a*b*x

Here, a= initial value, b = growth factor, x = variable.

The growth factor b can be calculated as 0.48.

In order to calculate the 2-unit growth factor, substitute (x + 2) in the given function. So the function becomes:

f(x+2) = 57(0.48)2

Now the growth factor is calculated using the formula, f(x+2)/f(x).

So the 2-unit growth factor is = 0.48^2 = 0.2304.

Now in order to calculate the 1-unit growth factor, substitute (x + 1) in the given function.

So the function becomes f(x+1) = 57(0.48)

Now the growth factor is calculated using the formula, f(x+1)/f(x).

So the 1-unit growth factor = 0.48.

From the given function, initial value a is 57. Hence the initial value of f is 57.

Therefore, the initial value of f is 57, the growth factors for 2-unit and 1-unit increases are 0.2304 and 0.48 respectively.

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help i need the value of x​

help i need the value of x

Answers

Answer:

7

Step-by-step explanation:

Hey There!

This one is like the other one

We want to find the scale factor

to do so we divide

15/5=3

no we can find x

the side length that equals 21 corresponds with the side length labeled x

so to get the value of x we divide

21/3=7

therefore x=7

Ms. Lynch drove her new car
50000000 fast (12 miles in 6 mins.)
that she nearly scared Ms. Allen to
death; who was riding in the car.
What is her speed in miles per hour?

Answers

Answer:

120 miles/hour

Step-by-step explanation:

6 x 10= 60 min

12 x 10= 120 miles

Answer:

Definitely 120 miles per hour.

Step-by-step explanation:

First, if she drove 50,000,000 fast, you need to do 6 minutes x 10 because 10 can go into 50,000,000. So, yes, it's 60. But that isn't right... it's too short. Try the next one.

How about we do the miles. 12 miles x 10 will get you your answer; 120.

I honestly don't know what I'm doing. It most likely isn't 120, but I did the math, and it was hard.

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