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if x+y+z=1 and 1/x+1/y+1/z=0
what is x²+y²+z²=?

A) 0
B) 1
C) 2
D) 3

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Given

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{y}[/tex] + [tex]\frac{1}{z}[/tex] = 0 , then

[tex]\frac{yz+zx+xy}{xyz}[/tex] = 0 , so

yz + zx + xy = 0

Now

(x + y + z)² = x² + y² + z² + 2(xy + yz + zx) , that is

1² = x² + y² + z² + 2(0) , thus

x² + y² + z² = 1


Related Questions

Please help I have no idea

Answers

Answer:

The surface area of this cuboid is 420 square inches.

Step-by-step explanation:

All we have to do is calculate each rectangle. For the width, we have 10 x 5 which is 50. Then we multiply it by 2 because we have two of those sides. Then we get 100. Then we have 11 x 5 which is 55. We multiply that by 2 and we get 110. Then we do that to the final two sides and we get 220. So the final answer if we add them all up is 420 square inches.

Use the quadratic formula to find the exact solutions of x2 − 5x − 2 = 0.

Answers

Answer:

Solutions given:

given equation is

x²-5x-2=0

comparing above equation with ax²+bx+c,we get

a=1

b=-5

c=-2

By using quadratic equation

x=[tex] \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

x=[tex] \frac{ 5± \sqrt{ {-5}^{2} - 4*1*-2}}{2*1} [/tex]

x=[tex] \frac{ 5± \sqrt{ 25+8}}{2*1} [/tex]

x=[tex] \frac{ 5± \sqrt{ 33 }}{2} [/tex] is a required answer.

Answer:

[tex]x=\dfrac{5 \pm \sqrt{33}}{2}[/tex]

Step-by-step explanation:

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Given equation:

[tex]x^2-5x-2=0[/tex]

Comparing the given equation with [tex]ax^2+bx+c=0[/tex] to find the values of a, b and c:

a = 1b = -5c = -2

Substitute these values into the quadratic formula and solve for x:

[tex]\implies x=\dfrac{-(-5) \pm \sqrt{(-5)^2-4(1)(-2)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{5 \pm \sqrt{25+8}}{2}[/tex]

[tex]\implies x=\dfrac{5 \pm \sqrt{33}}{2}[/tex]

which choice belongs in space number 4

Answers

Answer:

2nd choice

Step-by-step explanation:

mrk me brainliest plzzzzzzzzzzz

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Everything seems correct, I'm assuming you wanted confirmation

Directions: Follow the instructions for the following inequalities.

1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9

2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)

3. -2 \leq -2 Subtract 6 from both sides, then 8, and then 2

4. -4 < 8 Divide both sides by -4, then by -2

5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Please Write Your Answer Below:

Answers

Answer:

1. 4x3<7×3

12×2<21×2

24×4<42×4

96×9<168×9

864<1512

2. 11+3>-2+3

14+3>1+3

17_4>4-4

13>0

3. -2/leg-2

-18/leg-18

4. -4<8

0<2

Classify each variable as qualitative or quantitative.

1. Marital status of nurses in a hospital.

2. Time it takes to run a marathon.

3. Weights of lobsters in a tank in a restaurant.

4. Colors of automobiles in a shopping center parking lot.

5. Ounces of ice cream in a large milkshake.

6. Capacity of the NFL football stadiums.

7. Ages of people living in a personal care home.

Answers

Quantitative variable are - 2,3,5,7 and Qualitative are 1, 4 ,6

1. Marital status of nurses in a hospital-qualitative

2. Time it takes to run a marathon-quantitative

3. Weights of lobsters in a tank in a restaurant- quantitative

4. Colors of automobiles in a shopping center parking lot- qualitative

5. Ounces of ice cream in a large milkshake- quantitative

6. Capacity of the NFL football stadiums -qualitative

7. Ages of people living in a personal care home- quantitative

Qualitative variables are categorized or labelled to belong to a certain category or group.

There are two types of qualitative variables, Categorical and ordinal.

Categorical variable are those variables that are labelled in non-numeric or numeric form, where the numbers have no value. The order also does not matters. For example, the number on the jerseys of football players. It is not necessary that the player number 1 is actually the best player.

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find the value of X pls help!!

Answers

Answer:

B

Step-by-step explanation:

the sum of the two angles is 180

30 + 15x = 180

15x =150

x = 10 degrees

Miguel has 7 pounds of clay. He uses 3/4 For the clay for a project. How many pounds of clay did he use?

Answers

Answer:

Miguel used 5 1/4 pounds of clay.

Step-by-step explanation:

You have to multiply 7 * 3/4 to get the amount he used.

7/1 * 3/4 = 21/4

Now turn it into a mixed number

5 1/4

Miguel used 5 1/4 pounds of clay.

Hope this helps !!

-Ketifa

Exit ticket
The length of the sides of two triangles is as follows:
ZY = 14, YX = 9, XZ = 8 PR = 5, RQ = 7, and QP = 4
is AZXY~ AQPR? Use a flowchart to organize your facts and conclusions.

Answers

Therefore , the solution of the given question triangle comes out to be

triangle PQR to triangle ZXY is 3/2

Defining a triangle

You can link any three points in a plane to form triangles, which have three sides and three angles. They were among of the first geometric forms to be examined. Since triangles may be divided into any polygon, regardless of whether it has four, five, six, or n sides, they are very significant.

Here,

Consider PR and ZY as a point of comparison.

PR = 5

ZY = 14

Suppose the scaling factor is r and that

5 * r = 14

r = 14 / 5

r = 14/5

examining other sides

RQ to PR

right 5 * 12/3 = 20

To YX, QP

Correct answer is 4 * 9/3 = 12.

Thus,

triangle PQR to triangle ZXY

Therefore , Triangle PQR to Triangle ZXY equals 3/2, which is how the given question's solution is determined.

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PLEASE HELP ASAP!!!
Https://brainly.com/question/23389243answeringSource=feedPublic%2FhomePage%2F21

Answers

Answer:

your link doesn't work it just says 404

Step-by-step explanation:

What are the domain and range of the function?
f(x) = ³√x + 2

Answers

The domain of the function f(x) = ∛x + 2 is all real numbers such that x ≥ 0. This is because the cube root function is defined only for non-negative numbers.

What do a function example's range and domain mean?

A straightforward function, such as f(x) = x2, can have a domain (what goes in) of just the counting numbers 1, 2, 3, etc., and a range (what comes out) of the set 1, 4, 9, etc. Another function, g(x) = x2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...

For the range, the function f(x) = ∛x + 2 is a monotonically increasing function over the domain, which means that it increases as the input x increases. Therefore the range of f(x) = ∛x + 2 is all real numbers greater than or equal to 2

So the domain is x>=0 and the range is y>=2

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tony wants to add 97 to 298 and first add 100 to 300 what must he now subtract from this result to obtain 97+298

Answers

Step-by-step explanation:

Let A be the sum from 100 to 300

so the sum of 97 to 298 =

A - (299+300) + 97 +98

= A - 403


A cube of total area 150 cm?, then the length of its edge

Answers

Each edge is 5 cm
A cube has 6 sides.
Divide 150 by 6 and get 25, that’s area of each side
Get square root and that’s 5

Rewrite the following equation in standard form.

y = 3x + 9

Answers

3x-y=-9

Step-by-step explanation:

Answer: 3x - y = - 9

Step-by-step explanation:

Re-write the equation in the following form:

3x + 9 = y

Take the y to LHS:

3x + 9 - y = 0

Now, take the 9 to the RHS:

3x - y = -9. This is your answer.

A North Dakota license plate has six characters: 3 digits followed by 3 letters (e.g. 123AAA). Any number from 0 to 9 can be used as a digit. Any of the 26 letters from A to Z can be used as a letter.

How many different North Dakota license plates can be issued?

Enter your answer as an integer without commas, like this: 42536475

Answers

The number of different North Dakota license plates that can be issued is 17,576,000 plates.

How to find the number of plates issued ?

For the first digit, there are 10 possibilities (0 to 9). For the second and third digits, there are also 10 possibilities each. For the first letter, there are 26 possibilities. For the second and third letters, there are also 26 possibilities each.

The total number of different license plates that can be issued is therefore:

= 10 x 10 x 10 x 26 x 26 x 26

= 1, 000 x 17, 576

= 17, 576, 000 different plates

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What is
-3/5
as a decimal?
Enter your answer in the box.

Answers

Answer:

-0.6

Step-by-step explanation:

minus 3 divided by 5 equals minus 0.6

16 POINTS! NO LINKS! SHOW ALL WORK!
given the function f(x)=3x-1, what is f(3)
a)5
b)32
c)9
d)8
-------------------------------
evaluate f(x) = x^2 - 3x + 2 given f (x+1)
a) x^2 - x
b) 3x^2 - 4
c) x^2 + x - 3
d) 2x^2 + x - 2

Answers

Answer:

d

a

Step-by-step explanation:

f(3)= 3(3)-1

f(3)=9-1=8

f(x+1)= (x+1)^2-3(x+1)+2

=x^2+2x+1-3x-3+2

=x^2-x

A principal of $1800 is invested at 8.5% interest, compounded annually. How much will the investment be worth after 11 years?

Answers

calc= 1800 times (0.085 ^11)

If the garage is open Monday to Saturday, determine the probability that the garage gets any demand for windscreen on Monday.

Answers

Answer: 1/6

Step-by-step explanation:

Since the garage is opened from Monday to Saturday, there'll be six possible outcomes which will be:

Monday, Tuesday, Wednesday, Thursday, Friday and Saturday.

Therefore, the probability that the garage gets any demand for windscreen on Monday will be:

= 1/6

Problema de capacidades Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. ¿Cuántas botellas de cada clase se han utilizado?

Answers

Answer:

Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables a calcular son:

x= cantidad de botellas de 2 litros.y= cantidad de botellas de 5 litros.

Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:

[tex]\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.[/tex]

Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:

x= 1200 - y

Sustituyendo la expresión en la primer ecuación:

2*(1200 - y) + 5*y=3000

Resolviendo se obtiene:

2*1200 - 2*y + 5*y= 3000

2400 +3*y= 3000

3*y= 3000 - 2400

3*y= 600

y= 600÷3

y= 200

Reemplazando en la expresión x= 1200 - y:

x= 1200 - y

x=1200 -200

x= 1000

Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.

Can I get help in number 6?

Answers

Answer:

Trim A

Inches = 36

Feet = 3

Yards = 1

Trim B

Inches = 216

Feet = 18

Yards = 6

Suppose you invest $2000 at an annual interest rate of 8.2% compounded continuously. How much will you have in the account after 10 years

Answers

Answer:

$3,640

Step-by-step explanation:

8.2% as a decimal is 0.082. multiply 2000 by 0.082, and you get your interest rate/the interest you pay each year, which would be 162. multiply 162 by ten to get your interest for all ten years, since 162 was simply the rate, and you get 1,640. add the original 2000 onto that, and you get 3,640.


You are investing towards your future. You deposit $18,000 into an account that
pays 2.5% interest. How much money will you have in the account after 5 years?

Answers

Answer:

=20250

2.5/100*5+18000

[tex]h + 54 = 4 {}^{2} - 16 \div 4[/tex]

Value of h = ???​

Answers

Answer:

[tex]h = -42[/tex]

Step-by-step explanation:

First, subtract 54 from both sides.

[tex]h = 4^2 - 16 \div 4 - 54[/tex]

Then, evaluate the right-hand expression using the order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

We'll first evaluate the exponent in 4²:

[tex]4^2 = 4 \times 4 = 16[/tex]

[tex]h = 16 - 16 \div 4 - 54[/tex]

Next, we can evaluate the division:

[tex]16 \div 4 = 4[/tex]

[tex]h = 16 - 4 - 54[/tex]

Finally, perform the subtraction.

[tex]16 - 4 - 54 = -42[/tex]

[tex]h = -42[/tex]

Answer:

[tex] \sf \: h = - 42[/tex]

Step-by-step explanation:

Given equation,

→ h + 54 = 4² - 16 ÷ 4

Now the value of h will be,

→ h + 54 = 4² - 16 ÷ 4

→ h + 54 = 16 - 4

→ h + 54 = 12

→ h = 12 - 54

→ [ h = -42 ]

Hence, value of h is -42.

What are 4 ways to solve a problem?

Answers

The 4 ways to solve a problem are understanding the problem, devising a plan, carrying out the plan, look back.

A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.

Polya created his famous four-step process for problem-solving, which is used all over to aid people in problem-solving:

Step 1. Understand the problem.

x = a number

Step 2. Devise a plan (translate).

Twice the difference between a number and 1 is equal to 4 more than that number

Step 3. Carry out the plan (solve).

2(x - 1) = (x + 4)

2x - 2 = x + 4

2x - 2 - x = x + 4 - x

x - 2 + 2 = 4 + 2

x = 6

Step 4. Look back (check and interpret).

If we take twice the difference of 6 and 1, that is the same as 4 more than 6. Thus the final answer is 6.

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Use the graph or table to write a linear function that relates y to x

Answers

Step-by-step explanation:

draw it i n in a piece of paper and match the point so u will it get

What is (f + g)(x)?
f(x) = -3x² + 3
g(x) = −3x

Answers

Answer:

Step-by-step explanation:

(f.g)(x)=[tex]-3*(-3x)^{2}+3=-27x^{2}+3[/tex]

Hundredths

2347

whole hundredths

:) How many tenths are in 2,347? How many whole tenths

tenths

whole tenths

D) How many tenths are in 234. 7? How many whole tenths

Answers

C) The whole hundredths of 2347 is 234700 hundredths.  Zero-tenths are in 2,347. The whole tenth of 2347 is 2470tenth.

D) The tenth in 234. 7 are 7. The whole tenth of 234. 7 is 2347.

What is the tenth?

The tenth place is represented by the first digit following the decimal. The hundredth place is represented by the digit that follows the decimal.

Given number is 2347.

To find the whole hundredth, multiply the number by 100.

The whole hundredth in 2347 is 2347 × 100 = 234700.

The given number can be written as 2347.0.

Thus tenth of 2347 is 0.

To find the whole tenth, multiply the number by 10.

The whole tenth in 2347 is 2347 × 10 = 23470.

Thousand     Hundred       Ten      decimal point     Tenth

     2                      3              4                   .                    7

The tenth of in 234. 7 is 7.

The whole tenth in 234. 7 is 234.7 × 10 = 2347.

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3. Find the values of a and b. 36° 113° O​

Answers

The measure of angles a and b is 144° and 67° respectively.

What is quadrilateral?

There are four sides, four vertices, and four angles in a closed quadrilateral. It has a polygonal shape. It is produced by joining four non-collinear points. The total internal angle of a quadrilateral is always 360 degrees.

The English word quadrilateral is derived from the Latin words quadra, which means four, and latus, which means sides. Each of a quadrilateral's four sides does not always have to be the same length.

Given a quadrilateral,

in which opposite sides are parallel,

so, When a transversal cuts between two parallel lines, the interior angles on the same side of the transversal are additional to 180°.

36° + a° = 180°

and 113° + b° = 180°

a° = 180° - 36° = 144°

and b° = 180° - 113°

b° = 67°

Hence the values of a° is 144° and b° is 67°.

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Jan has a kids pool that holds 20 gallons of water. It drains as a constant rate. When Jan first saw the kids pool, it contained 14 gallons. Six minutes later, the pool contained 10 gallons of water. At what rate is the amount of water in the pool changing? Use a signed number, and include the unit of measurement in your answer.

Answers

Answer:

-2/3 gal per minute

Step-by-step explanation:

The pool drained 4 gallons in 6 minutes.

How many gallons per minute?

minutes: 6 min/6 = 1

gallons: 4 gal/6 = 2/3

-2/3 gal per minute (negative because the pool is draining)

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Statement of stockholders' equityThe revenues and expenses of Paradise Travel Service for the year ended May 31, 206, follow:Fees earned$900,000Office expense300,000Miscellaneous expense15,000Wages expense450,000Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common June 1, 205.Prepare a statement of stockholders' equity for the year ended May 31, 206.Paradise Travel ServiceStatement of Stockholders' EquityFor the Year Ended May 31, 206Common Stock Retained EarningsBalances, June 1, 20Y560.000300,000 VIssued common stock40,0001Net incomeI xTotal$ 360.000V40.000VDividends010,00010.000 Is it true that only 2 ATP are formed during anaerobic respiration? 4) Why did colonists dislike how governors were chosen in many colonies?F. They did not understand the process.G. Since governors were named by the king, they favored the king.H. The colonists did not trust the colonial legislatures.I. They preferred a system of direct democracy. Any help is appreciated The fractionproduces a repeating decimal.0.750O A. TrueB. False Tomo un objeto y lo envo a su lugar, tomo otro objeto y lo llevo a su lugar y asi hasta que todos los objetos llegarn a su destino... Select all of the equations below in which a is directly proportional to b.a=bb= 1/1/20a=2a= ba=2ba=b+2 After the worst year for the global____________since the Great Depression, the Us is set to lead a rigorous rebound. arrange the constititual ideas in the order in which they appear in the U.S Constituation 54. Using mechanical friction when prepping will not aid in: a. Removal of resident bacteria b. Removal of dirt and oil c. The effectiveness of antimicrobials d. Removal of transient bacteria PLEASE HELPPP SPANISHHH when testing a mechanical suctioning unit, you should turn on the device, clamp the tubing, and ensure that it generates a vacuum pressure of at least Question We can infer that the reason the glass tubes were bent was that How many prime numbers are between $30$ and $40$? The Fed decides to reduce inflation. Use the Phillips curve to show the short-run and long-run effects of this policy. How might the short-run costs be reduced Help me please. Im in a time What are the 3 factors of natural selection? Triangle STU is a right triangle.Write an equation that relates the lengths of sides s, t, and u? (5 points) All fungi are considered Group of answer choices auto/heterotrophs, cell wall made of peptidoglycan, prokaryotic heterotrophs, to have cell walls made of chitin, eukaryotic autotrophs/heterotrophs, cell wall made of psuedomurien, prokaryotic autotrophs, cell wall made of cellulose, eukaryotic Solve the equation for all real solutions in simplest form. 2p? 3p - 7=0