If xy + 1/(xy) = 2 , then what does (x^2)(y^2) + 1/((x^2)(y^2)) = ?
Show all work.
Show any graphical support.
Explain what happened with both the math work and the graph(s).

Think about what happened.
Would it happen with more terms or the next function in the sequence?
Why or why not? Explain.

Answers

Answer 1

The value of the expression will be   [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The value of the expression is [tex]xy+\dfrac{1}{xy}=2[/tex]

So we need to find [tex](xy)^2+\dfrac{1}{(xy)^2}=?[/tex]

The value of the expression will be calculated as:-

 [tex]xy+\dfrac{1}{xy}=2[/tex]

Squaring the above equation.

[tex](xy)^2+\dfrac{1}{(xy^2)}+2\times (xy)^2\times \dfrac{1}{(xy^2)}=4[/tex]

[tex](xy)^2+\dfrac{1}{(xy^2)}=2[/tex]

Again squaring the above expression.

[tex](xy)^4+\dfrac{1}{(xy^4)}+2\times (xy)^4\times \dfrac{1}{(xy^4)}=4[/tex]

[tex](xy)^4+\dfrac{1}{(xy^4)}=2[/tex]

Hence the value of the expression will be   [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]

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Related Questions

Will mark brainliest to anyone who can answer

Answers

Answer:
4 cm

Explanation:
Radius = 4

Using the formula: (This is just for radius):
(8π-12√³)

Use the radius to work out circumference:
C==2 π r==2··π··4=≈25.13 cm

Divide the circumference by 6 because the AB curve is 1/6 of the whole circumference:

25.13 divided by 6 = 4.188333333333333

(Corrected to 1 sig fig) 4 cm


Side note:
It is not 4 (with the pi sign at the end),
this is because the numbers do not go on infinitely.

Hope this helps!
Please give Brainliest!

What time will it be after these minutes have passed? 10 minutes

Answers

Answer:

21 minutes

Step-by-step explanation:

hope it helps you

Y=3x+2

X
-2
-1
0
1
2

Answers

Answer:

x        y                                 ordered pair

-2      3(-2) + 2 = -4             (-2, -4)

-1       3(-1) + 2 = -1                (-1, -1)  

0       3(0) + 2 = 2                 (0, 2)

1        3(1) + 2 = 5                  (1, 5)

2       3(2) + 2 = 8                 (2, 8)

fine the value of x in this screenshot

Answers

Answer:

x = 125º

Step-by-step explanation:

Angles in a triangle add to 180º so:

180 - 42 - 83 = 180 - 125 = 55º

Angles on a straight line also add to 180º so to find x:

180 - 55 = 125º

x = 125º

Hope this helps.

The Exterior Angle Theorem

The exterior angle theorem states that one exterior angle of a triangle will always be equal to the sum of the two opposite interior angles.

Solving the Question

x is an exterior angle of the triangle.

We are given two interior angles in the triangle. These are opposite of x.

According to the exterior angle theorem, we can solve for x by adding these two angles:

42 + 83 = 125

Answer

x = 125

Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, and only function f is negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, but both functions are negative. D. Both functions are increasing, but function g increases at a faster average rate.Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, and only function f is negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, but both functions are negative. D. Both functions are increasing, but function g increases at a faster average rate.

Answers

Both functions are increasing, but function g increases at a faster average rate.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Let f(x) = abˣ + c

At x = 0, f(0) = -10. Then we have

a + c = -10

Then similarly, by satisfying the above table in f(x) will be

[tex]\rm f(x) = - \dfrac{33}{5} \left ( \dfrac{1}{11} \right )^x - \dfrac{17 }{5} \\\\f'(x ) > 0[/tex]

Then we can say f(x) is an increasing function.

[tex]\rm g(x) = - 18 \left ( \dfrac{1}{3} \right )^x +2 \\\\g'(x ) > 0[/tex]

Then we can say g(x) is an increasing function.

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Answer:

The correct answer would be option D- Both functions are increasing, but function g increases at a faster average rate.

Hope this helps and good luck!

In a class test containing 25 questions, 2 marks are given for every correct answer and 1 mark is deducted for every incorrect answer.
a. Aryan attempts only 22 questions and gets all of them correct. What is his total SCore?
b. Dhruv attempts all questions but gets 15 answers correct. What will be his Score? ​

Answers

Answer:

A. 44 (if unanswered questions do not deduct 1 point)

B. 40

Step-by-step explanation:

22 x 2 = 44

25 x 2 - 10 = 40

The table below shows the distribution of votes for Student Government President elections.

1.What is the probability that a junior voted for Dao?

2.Voted for Wolber

3.Votes for Keegan and was from the sophomore class.

Answers

Answer:

1 out of 3 people vote for junior

Step-by-step explanation:

Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.

On a graph, the graph increases, remains constant, and then decreases.

Is the number of gallons of water in the bathtub a function of time?
Yes because each t value is paired with exactly one number of gallons.
Yes because the number of gallons is bounded between y = 0 and y = 36.
No because each number of gallons is paired with more than one t value.
No because from t = 5 to t = 20 the number of gallons of water is constant.

Answers

Answer:

A, Yes because each t value is paired with exactly one number of gallons.

Step-by-step explanation:

Simply perform the vertical line test. On a graph, draw a vertical line, and if the line crosses the graph exactly once, it is a function. See the diagram below. Hope it helps, have a fantastic day.

Answer:

a

Step-by-step explanation:

because i am built diffrent thats why

Please solve (18 points)

Answers

Answer:

20.11 °

Step-by-step explanation:

31.1 ° + 35.8 ° + 90m + 44.2 ° = 20.11 °

what is "the power" of something (mathematically).

Answers

The power of a number says how many times to use the number in a multiplication.

--

For instance 6 to the power of 2

This means

Which is also equal to 36

Suppose the commute times for employees of a large company follow a
normal distribution. If the mean time is 18 minutes and the standard
deviation is 5 minutes, 95% of the employees will have a travel time within
which range?
A. 13.25 minutes to 22.75 minutes
B. 8 minutes to 28 minutes

Answers

Using the Empirical Rule, it is found that 95% of the employees will have a travel time within the following range:

B. 8 minutes to 28 minutes.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Considering that the mean time is 18 minutes and the standard deviation is 5 minutes, the the bounds of the 95% range are given by:

18 - 2 x 5 = 8 minutes.18 + 2 x 5 = 28 minutes.

Hence option B is correct.

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Truman's father is designing a toy car ramp for him. His dad determined that the measure of angle x needs to be increased by 20

What is the measure of the new angle?

Answers

Answer:

20°

Step-by-step explanation:

Solution,

Here,

→(x+20°)+160°=180°[Sum of a straight line is 180°]

→x=180°-180°

→x=0°

Again,

→x+20°

→0°+20°

→20°

Answer:

I have the same problem as you and it told me that it’s 40

Step-by-step explanation:

the backyard is 20 inches long and 37 inches wide. What is the area of the backyard.

Answers

            - - - - - - -- - - - - - - - - - - - - -- -

[tex]\diamond\large\textsf{\textbf{\underline{Given\:question:-}}}[/tex]

          The backyard is 20 inches long and 37 inches wide. What is the area of the backyard?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

We are given the backyard's length (20 inches long) and the backyard's width (37 inches wide).

We are asked to find the area of the backyard, which can be found using the following formula:-

      [tex]\boxed{\bold{A_{(rectangle)}=LW}}[/tex]

Where:-

A=Area of rectangleL=Length (20 inches)W=Width (37 inches)

Substitute the values:-

[tex]\boxed{\bold{A=20*37}}[/tex]

On simplification,

✳︎ [tex]\boxed{\bold{A=740\:in^2}}[/tex], which is our final answer.

Good luck with your studies.

        - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - -

Answer: 37·20=740

Step-by-step explanation:


Number 5 please i need your help

Answers

Answer: a) 7mm  b) 18mm  c) 49mm

Step-by-step explanation:

There are 10 mm in 1 cm, so to find how many mm the measurements are, multiply the measurement in cm by 10.

a) 0.7 cm

0.7 cm x 10 mm per cm = 7 mm

b) 1.8 cm

1.8 cm x 10 mm per cm = 18 mm

c) 4.9 cm

4.9 cm x 10 mm per cm = 49 mm

4>-x-5 how do I solve for x? With the greater sign

Answers

Answer:

x>-9

Step-by-step explanation:

1. bring x over to the other side to make it a positive (4+x>-5)

2. bring 4 to the other side (x>-5-4)

3. simplify (x>-9)

If the graph of f(x) = x2, how will the graph be affected if it is changed to f(x) = 1/3x^2
A. The parabola will be wider.
B. The parabola will be translated up.
C. The parabola will be narrower
D. The parabola will be translated down

Answers

Answer:

Step-by-step explanation

the answer is A.

13. Represent Write three different fractions
that each match the shaded part of the
drawing.

Answers

Answers:

8/12

2/3

4/6

============================================================

Explanation:

There are 8 pizza slices shaded out of 12 total.

One fraction we can form is 8/12

Divide each part by the GCF 4

8/4 = 212/4 = 3

This means 8/12 is the same as 2/3

Check out the image below to see how 8/12 and 2/3 are the same. Refer to figure 1. We have 2 slices shaded out of 3 total.

Then check out figure 2 to see how 2/3 and 4/6 are the same. By extension, this means that 8/12 and 4/6 are the same. Figure 2 shows 4 shaded slices out of 6 total.

There are infinitely many ways we can split up this pie, so there are infinitely many fractions to write as the answers.

How to do this...(⊙o⊙)?​

Answers

Answer:
a = 60°
b = 20°

Step-by-step explanation:
Adjacent angles in a ||gram are supplementary . So,

2a + a = 180°
3a = 180°
a = 60°

Similarly,
2a + 3b = 180°
2(60) + 3b = 180°
120 + 3b = 180°
3b = 60°
b = 20°

______
Hope it helps ⚜

What is the 4th term of the linear sequence below? 6 , 13 , 20 , 27 , 34 ,

Answers

Answer: 27

Step-by-step explanation:

6 is the 1st

13 is the 2nd

20 is the 3rd

27 is the 4th

34 is the 5th

yr8 enlargements......​

Answers

If the triangle ABC is enlarged using the point P as a center, then the point of the dilated triangle will be A'(-3, 2), B'(1, 2), and C'(-1, -2).

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The coordinate of point P will be (5, 4).

Let shift the origin at P, then the coordinate of ABC will be

A(-4, -1), B(-2, -1), and C(-3, -3)

If the scale factor is 2. Then the coordinate of the triangle A'B'C' will be

A'(-8, -2), B'(-4, -2), and C'(-6, -6)

Then shift the origin at (0, 0), then the coordinate of A'B'C' will be

A'(-3, 2), B'(1, 2), and C'(-1, -2)

The graph is shown below.

More about the dilation link is given below.

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Please solve (18 points)

Answers

Answer:

Ꮎ = 72.123°

Step-by-step explanation:

AC² = BC²+ AB² - 2BC AB x cos (ABC) 4.52 4.12 +3.52 - 2 x 4.1 x 3.5 x cos (8) =

Subset of prime numbers 1 to 20

Answers

Answer:

Step-by-step explanation:

{2, 3, 5, 7, 11, 13, 17, 19}

PLEASE HELP NEEDED ASAP
explain your answer clearly, questions and image below

1. What is the volume of the first cube?

2. What is the volume of the cube with sides of 24m?

3. What is the volume of the cube with sides of 7m?

4. What is the combined volume of these 2 cubes?

5. How much more gold do you get in the better option?

Answers

Answer:

1. Volume of the cube = width * length * height = 25 * 25 * 25 = 15,625 m³

2. Volume of the cube = width * length * height = 24 * 24 * 24 = 13,824 m³

3. Volume of the cube = width * length * height = 7 * 7 * 7 = 343 m³

4. Combined volume = volume cube 2 + volume cube 3 = 13,824 + 343 = 14,167 m³

5. 15, 625 - 14,167 = 1,458 more m³

—-

Have a nice day!!

Answer:

1. Volume of a cube = l³

therefore: Volume of first cube = 25³

= 15625

2. Same formula as number 1. = l³

= 24³

= 13824

3. 7³ = 343

4. Combined volume Multiplication = 15625 × 13824

or addition = 15625 + 13824

if according to question

5. Don't get paraphrase

HELP for (ii)…..how do we find a?

Answers

By using the information given on the graph, we can see that a = 3.

How to find the value of a?

Here we have an exponential of the form:

[tex]y = p*a^x[/tex]

And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:

[tex]4 = p*a^0\\\\36 = p*a^2[/tex]

From the first equation we get that p = 4, replacing that on the second one we get:

[tex]36 = 4*a^2\\\\36/4 = 9 = a^2\\\\\sqrt{9} = 3 = a[/tex]

So we conclude that a = 3.

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If an alcohol and an organic acid are chemically combined, the resulting compound is called a (an)
a. ester.
b. halogen derivative.
C. lipid.
d. aromatic hydrocarbon.​

Answers

It’s a) which is ester

What is the surface area of this right rectangular prism?

Enter your answer as a mixed number in the simplest form.
ft²

Answers

Answer:

A≈32[tex]\frac{3}{10}[/tex]ft²

--

To find the surface area of a right rectangular prism you must use this formula A=2(wl+hl+hw)

Then plug in your variebles

A=2( 1.33*1.5+5+1.5+5+1.33)

This comes out to be A≈32 [tex]\frac{3}{10}[/tex]

Answer:

32 1/3 ft² for K12

Need Help ASAP
y = 2x − 5
y = -6x + 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.

Part B: Check your work. Verify your solution and show your work.

Part C: If the two equations are graphed, what does your solution mean?

Answers

Put y 's value in second equation

2x-5=-6x+32x+6x=3+58x=8x=1

And

y=2(1)-5=-3

Solution is (1,-3)

Verification

-3=2(1)-5-3=2-5-3=-3

Verified

help us please we need your help

Answers

Answer:

See below ~

Step-by-step explanation:

3. coordinate proof

4. exterior

5. included angle

Answer:

coordinate proof

exterior

included angle

Solve the following triangle.

Dont answer if you dont know the answer or report answer it wrong get an report

Answers

Step-by-step explanation:

2 things to remember :

1. the sum of all angles in a triangle is always 180°.

2. the law of sine

a/sin(A) = b/sin(B) = c/sin(C)

triangle 1 :

angle B = 180 - 62.2 - 43.8 = 74°.

a/sin(62.2) = 15.8/sin(74)

a = 15.8 × sin(62.2)/sin(74) = 14.53961961... in

c/sin(43.8) = 15.8/sin(74)

c = 15.8 × sin(43.8)/sin(74) = 11.37657122... in

triangle 2 :

14.9/sin(49) = 11.6/sin(A)

sin(A) = 11.6 × sin(49)/14.9 = 0.587559136...

angle A = 35.98398776...° ≈ 36°

angle C = 180 - 49 - 35.98398776... = 95.01601224...° ≈

≈ 95°

c/sin(95) = 14.9/sin(49)

c = 14.9 × sin(95)/sin(49) = 19.66708505...

newly weds triangle :

let's call the 2 sides a and b (25 m and 30 m).

the angle between them is 60°.

here we should use the extended Pythagoras for general triangles :

c² = a² + b² - 2×a×b×cos(C)

with c being the side opposite to the angle C.

so, we have in our case

c² = 25² + 30² - 2×25×30×cos(60) = 625 + 900 - 750 =

= 775

c = sqrt(775) = sqrt(25×31) = 5×sqrt(31) = 27.83882181... m

the area of the triangle we get via Heron's formula :

s = (a+b+c)/2 = (25+30+c)/2 = 41.41941091...

area = sqrt(s(s-a)(s-b)(s-c)) = sqrt(s(s-25)(s-30)(s-c)) =

= sqrt(105,468.75) = 324.7595264... m²

with Php 2000 per m² this would cost

324.7595264... × 2000 = Php 649,519.0528...

Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of pi
A) 64 pi
B)192 pi
C) 256 pi
D)768 pi

Answers

Answer:

  B)  192 pi

Step-by-step explanation:

The volume of a cylinder is found from the formula ...

  V = πr²h

where the radius is r and the height is h. The radius is half the diameter.

__

  V = π(8/2)²(12) = 192π . . . . . . using the given values

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