Write the recurring decimal 0.004 as a fraction in its simplest form.

The absolute maximum of f is 0, attained at (0, 0) and (4, 0), and the absolute minimum is -4, attained at (2, -4).

To find the absolute maximum and minimum of the function f = xy - x - y over the region D bounded by the parabola y = x^2 and y = 4, we need to evaluate the function at critical points and endpoints within the region.

First, let's find the critical points by taking the partial derivatives of f with respect to x and y.

∂f/∂x = y - 1, and ∂f/∂y = x - 1. Setting both partial derivatives equal to zero, we have y - 1 = 0 and x - 1 = 0, which give us the critical point (1, 1).

Next, we evaluate the function f at the endpoints of the region. Substituting y = x^2 into f, we have f = x(x^2) - x - x^2 = x^3 - 2x^2 - x.

Evaluating f at the endpoints, we have f(0) = 0, f(2) = 2^3 - 2(2)^2 - 2 = -4, and f(4) = 4^3 - 2(4)^2 - 4 = 0.

To summarize, the critical point (1, 1) and the endpoints (0, 0), (2, -4), and (4, 0) need to be considered. Evaluating f at these points, we find that the absolute maximum value is 0 and occurs at (0, 0) and (4, 0), while the absolute minimum value is -4 and occurs at (2, -4).

Therefore, the absolute maximum of f is 0, attained at (0, 0) and (4, 0), and the absolute minimum is -4, attained at (2, -4).

Learn more about Absolute Maximum and Minimum here:

brainly.com/question/28767824

#SPJ11

The equation for the circle in the graph is:

(x + 2)² + (y + 2)² = 0.5625

A circle whose center is at the point (a, b) and has a radius of R units can be written as:

(x - a)² + (y - b)² = R²

Here we can see in the graph that the center of the circle is at the point (-2, -2), and we also can see that the radius of the circle is 0.75 units, then the equation for the circle in the graph will be:

(x - (-2))² + (y - (-2))² = 0.75²

We can simplify that to get:

(x + 2)² + (y + 2)² = 0.5625

That is the equation.

Learn more about circles at:

https://brainly.com/question/1559324

#SPJ1

Answer:

yo

Step-by-step explanation:

Answer:

71.55

Step-by-step explanation:

a2 + b2 = c2

c=square route (a2+b2)

The probability If no letter can be used twice, 32292000 ways different pass word options are there .

What is probability?

 Mathematical branch known as probability deals with determining the possibility of an event occurring. Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given event will occur.

Here a password contains 4 letters followed by 2 numbers.

Total number of alphabets = 26

If without repetition the words can be arranged as,

=> 26*25*24*23

Total numbers = 0 to 9 = 10

if without repetition the numbers can be arranged as ,

=> 10 * 9

If no letter can be used twice, number of  different pass word options are,

=> 26*25*24*23*10*9=32292000

Therefore there are 32292000 ways different password options available.

To learn more probability refer the below link

https://brainly.com/question/13604758

#SPJ1

Answer: 14, because the number of catalogs is 56 over 5 divided by 4 over 5.

Step-by-step explanation:

From the question, we are informed that Linda has a shelf that is 56/5 inches wide and that each catalog is 4/5 of an inch thick?

The number of catalogs that Linda can arrange on the shelf will be:

= 56/5 ÷ 4/5

= 56/5 × 5/4

= 56/4

= 14

Answer:

the answer is A 14

Step-by-step explanation:

because the number of catalogs is 5 divided by 4 over 5 9

Answer:

Step-by-step explanation:

K is located at -25

L is located at -15

just move 5 units away from J on both sides

hope this helps <3

One type of t test that is suitable for this study is the related one-sample t test.

The T-test provides insight into whether the difference between the means of two groups is due to chance or is reliable (ie would be found again in another measurement from the same population).

t test is used for following purposes :

1. Testing significance between hypothetical mean of sample and population mean.

2. Testing significance between mean of 2 different samples.

3. Testing significance between mean of sample post and prior to a stimuli or operation.

To learn more about t test visit:

https://brainly.com/question/15870238

#SPJ4

Answer: 1,056 divided by 48 = 22

Step-by-step explanation:

Answer:

how many times does 48 go into 105 then subtract that then bring down 6 beside what you subtracted Then See how many times 48 goes into that number then you'll have your answer

The double genitive structure is used to indicate possession or relationship. In the given sentences, "a friend of mine" can be rewritten as "one of my friends," and "I am writing to one of my friends" can be rewritten as "I am writing to a friend of mine."

The double genitive structure is a way to express possession or relationship by using two genitive forms. In the first sentence, "a friend of mine," we can rewrite it as "one of my friends" using the double genitive structure. This emphasizes the ownership or relationship with multiple friends.

Similarly, in the second sentence, "I am writing to one of my friends," we can rewrite it as "I am writing to a friend of mine" using the double genitive structure. This construction highlights the personal connection or possession of the friend

The double genitive structure adds emphasis and conveys a sense of personal ownership or close relationship in these sentences.

Learn more about sentences here:

https://brainly.com/question/27447278

#SPJ11

Answer:

\(6(2b - 4) \\ b = 5 \\ 6(2 \times 5 - 4) \\ = 6(10 - 4) \\ = 6(6) \\ = 36 \\ thank \: you\)

Answer:

6(2b-4) when b = 5 is 36

Step-by-step explanation:

\(6(2b-4)\\6(2(5)-4)\\6(10-4)\\6(6)\\36\\\)

We have:

h - height

b = 2h - base

A = 36 - area

so:

\(A=\frac{1}{2}\cdot b\cdot h\\\\A=\frac{1}{2}\cdot 2\cdot h \cdot h\\\\A=h^2\\\\36=h^2\quad|\sqrt{(\dots)}\\\\\boxed{h=6}\)

Answer:

$19

Step-by-step explanation:

Answer:

just use the properties of the figure for rxample in number 3 they are equal as the oppositevangle are equal

Answer:

♡ madeline here ♡

the tutor is correct.

stay safe & know ur loved.

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ

Step-by-step explanation:

Answer:

The answer is RANGE

Step-by-step explanation:

Hi, I hope this helps, didn't see the answer so I guessed and it was correct!

Answer:

percentage=73.33%

Step-by-step explanation:

percentage=99/135x100

                  =0.7333x100

                  =73.33%

please mark as brainliest

73% 135 divided by 73 = 98.55

Answer:

option 4

Step-by-step explanation:

Given Equation :-

=> -4| x + 9 | = -8

To FinD :-

=> Solution of the equation .

Solving it :-

=> -4| x + 9 | = -8

=> | x + 9 | = -8/-4

=> |x + 9| = 2

=> ( | x + 9 | )² = 2²

=> x + 9 = ±2

=> x = -9 +2 , -9-2

=> x = - 7 , -11

Option 4 is correct.

Answer:

x = - 7 , - 11

Step-by-step explanation:

\(-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7\)

DDR4 has several advantages over DDR3. Two of the key advantages are as follows:

Higher Data Transfer Rates: DDR4 offers higher data transfer rates compared to DDR3. It provides faster data transfer and improved overall system performance. DDR4 modules typically have higher clock speeds, allowing for faster data access and throughput.

Increased Memory Capacity: DDR4 supports higher memory capacities compared to DDR3. DDR4 modules can offer larger memory capacities, allowing for more memory to be installed in a system. This is beneficial for applications that require a large amount of memory, such as high-end gaming, video editing, and server applications.

Other advantages of DDR4 over DDR3 include improved power efficiency, lower operating voltage, and improved reliability. These factors contribute to better system performance, lower power consumption, and enhanced stability.

Learn more about DDR4 here -: brainly.com/question/5233336

#SPJ11

To find the length of the unknown leg of the triangle, we will need to use the Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

---a and b are the legs of the triangle

---c is the hypotenuse

a = 2

b = ?

c = 3

2^2 + b^2 = 3^2

4 + b^2 = 9

b^2 = 5

b = 2.236

b (rounded) = 2.2

Answer: 2.2 ft

Hope this helps!

i. For the solution xe^(-2x)cos(x), we observe that it contains both exponential and trigonometric functions. Therefore, we can consider a homogeneous equation in the form:

y''(x) + p(x)y'(x) + q(x)y(x) = 0,

where p(x) and q(x) are functions of x. To match the given solution, we can choose p(x) = -2 and q(x) = -1. Thus, the corresponding homogeneous equation is:

y''(x) - 2y'(x) - y(x) = 0.

ii. For the solution xe^(-2x), we have an exponential function only. In this case, we can choose p(x) = -2 and q(x) = 0, giving us the homogeneous equation:

y''(x) - 2y'(x) = 0.

iii. For the solutions e^(-x) and e^x + sin(x), we again have both exponential and trigonometric functions. To match these solutions, we can choose p(x) = -1 and q(x) = -1. Thus, the corresponding homogeneous equation is:

y''(x) - y'(x) - y(x) = 0.

These equations represent homogeneous differential equations that have the given solutions as their solutions.

Learn more about Homogeneous Equation here :

https://brainly.com/question/30409992

#SPJ11

Answer: 64

Step-by-step explanation:

40 - 24 ÷ [7 + (7-15)]

= 40 - 24 ÷ (7 - 8)

= 40 - 24 ÷ (-1)

= 40 + 24

= 64

On solving the given expression 40 - 24 ÷ {7 + (7 - 15)}, we get 64.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the function -

40 - 24÷ {7 + (7-15)}

We have -

40 - 24 ÷ {7 + (7 - 15)}

Using the Rule of BODMAS, we can solve the function as -

40 - 24 ÷ {7 + (7 - 15)}

40 - 24 ÷ {7 + (7 - 15)}

40 - 24 ÷ {7 - 8}

40 - 24 ÷ (- 1)

40 - (- 24)

64

Therefore, on solving the given expression 40 - 24 ÷ {7 + (7 - 15)}, we get 64.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ2

This query relates to prices. Let's use the rate for a cold tap to represent Rc and hot water to represent Rh.

Therefore,

Since R = V/t, where t is the fill-in time, determines the rate at which the volume V tab is filled. The following can be written for both of them:

Rc = V/17

Rh = V/t

Rc + Rh = V/7

where t is the time that we need to find.

V/17 + V/t = V/7

Divide both sides by V to get:

1/17 + 1/t = 1/7

Rearrange:

1/t = 1/7 - 1/17

Bring to common denominator:

1/t = (17 - 7)/(7*17) = 10/119

Take an inverse:

t = 119/10 = 11.9 minutes.

The complete question is?

Left on together, the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill t?

To learn more about denominator, refer to:

https://brainly.com/question/19249494

Answer: That hexagon can be partitioned into six equilateral triangles, each with side of 9 meters. The area of an equilateral triangle is which in this case is which is roughly 35.074 square meters. The area of the hexagon is six times that, which comes to about 210.44417312 square meters.

Step-by-step explanation:

Answer:

Yay.. free points

Step-by-step explanation:

Answer:

\(x^{\frac{1}{8}}y^8\).

Step-by-step explanation:

The given expression is

\((x^{\frac{1}{4}}y^{16})^{\frac{1}{2}}\)

We need to find the expression, which is equivalent to the given expression.

The given expression can be rewritten as

\((x^{\frac{1}{4}})^{\frac{1}{2}}(y^{16})^{\frac{1}{2}}\)     \([\because (ab)^m=a^mb^m]\)

\((x^{\frac{1}{4}\times \frac{1}{2}})(y^{16\times \frac{1}{2}})\)     \([\because (a^m)^n=a^{mn}]\)

\(x^{\frac{1}{8}}y^8\)

Therefore, the required expression is \(x^{\frac{1}{8}}y^8\).

The simplified form of the indices is \(x^{1/4}y^8\)

Given the expression:

\((x^{1/4}y^{16})^{1/2}\)

Using the law of indices below:

\((a^m)^n = a^{mn}\)

Multiplying the power will give:

\(= (x^{1/4})^{1/2} \cdot (y^{16})^{1/2}\\=x^{1/4}y^8\)

Hence the simplified form of the indices is \(x^{1/4}y^8\)

Learn more on indices here: brainly.com/question/8952483

Answer:

Line W's equation is y= 1/2x - 8

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

4 is less than 9

Answer:

yes

Step-by-step explanation: