In how many orders can six people line up from left to right for a group photo?

Answers

Answer 1

Answer:

720 possible orders

Step-by-step explanation:

To order 6 people in a line, let's imagine them as 6 possible spaces:

( )( )( )( )( )( )

Going from left to right, let's start with space 1.

There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.

(6)( )( )( )( )( )

Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:

(6)(5)( )( )( )( )

Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.

(6)(5)(4)(3)(2)(1)

This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.

Multiply them together and we have:

6x5x4x3x2x1 = 720 possible orders.

Hope this helped!

Answer 2

Answer:

We have to arrange 6 people in line

. Now, the number of ways to arrange n items = n!.

Hence, the answer is 6!=

=6×5×4×3×2×1= 720 orders


Related Questions

A - 3/4 = 1/8 step by step explanation

Answers

Answer:

A-3/4=1/8 is the equation, if you expand 3/4 it is 6/8, in order to get 1/8 you need to subtract 6/8 from 7/8

7/8-6/8=1/8 therefor A=7/8

substitution method please help :3

Answers

Answer:

7x + 27 = -17

Step-by-step explanation:

2x + 5x = 7x

3y + (-y) = 2y

-5 + (-12) = -17

Combine them to make the added equation.

7x + 2y = -17.

How do I find the circumference?

Answers

The formula for circumference is 2(3.14)r
r = radius

7 3/4 + 3 5/6 - 1 3/4​

Answers

Answer:

This does not have to be complicated.

Just subtract 1 3/4 from 7 3/4 to get 6. Now add the 3 5/6 to that for a total of 9 5/6

Step-by-step explanation:

what is the distance from (-4, -7) to (4, 8) ?

Answers

Answer:

17

Step-by-step explanation:

We can use this formula:

[tex]\sqrt{(x2-x1)^2 + (y2 -y1)^2}[/tex] where x and y indicate the coordinates of the two points

[tex]\sqrt{4-(-4)^2 + (8-(-7)^2} = \sqrt{64 + 225} = \sqrt{289} = 17[/tex]

Answer:

17

Step-by-step explanation:

You are given two points so you use the distance formula

[tex] \sqrt{( {x 2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Substitute your points into the formula

Original price: $330 discount percent: 15%

Answers

Answer:

$280.5

Step-by-step explanation:

Answer:

$280.5

is the answer <3

Find the area. 7 in. 5 in. 12 in. ​

Answers

Answer:

I believe its 47.5

Hope this helps!

Answer:

142.5

Step-by-step explanation:

1/2×5×(7+12)=142.5

hii please help asap ill give brainliest thanks

Answers

Answer: A) Buddhism

Step-by-step explanation:

Answer:

Thee answer is A. Buddhism. Hope this helps!

Step-by-step explanation:

PLEASE HELP RIGHT NOW ASAP IF CORRECT I WILL GIVE BRAINLIEST HELP NOW

Answers

Answer:

x^4

is the answer

Second one is 5^5 if it’s multiplying powers you add them if it’s divide you subtract the powers

The Osborn family goes out to dinner, and the price of the meal is $60. The sales tax on the meal is 7%, and they also want to leave a 15% tip. What is the total cost of the meal?

Answers

the total cost of the meal is $73.83


Lynette has a metal doorstop with the dimensions shown.
Each cubic centimeter of the metal in the doorstop has a mass
of about 8.3 grams. Find the volume of the metal in the
doorstop. Then find the mass of the doorstop.


Answers

Volume = 105in³

Mass = 871.5g

To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.

The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³

The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g


[tex]x + y = 0 \\ y = {x}^{2} + 2xy[/tex]

can any one tell this answer with dafination and all steps​

Answers

Answer:

(1, -1)

Step-by-step explanation:

Given the expression

x+y = 0 .....1

y = x²+2xy ....2

From equation 1, x = -y

Substitute into 3

y = x²+2xy

y = (-y)²+2(-y)y

y = y²-2y²

y = -y²

1 = -y

y = -1

Since x = -y

x = -(-1)

x = 1

Hence the required solution is (1, -1)

Which statement is true about the equation

It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.

Answers

Answer:

it has one solution which is 4

Answer:

hope this helps you......

A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.

Answers

Answer:

2x+40=982

Step-by-step explanation:

CORRECT ANSWER = BRAINLIEST | NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:

Answers

the answer is B !! i included the work just in case you needed it

Find the area of a sector of a circle with radius 7 cm and and central angle 240°.

Answers

The formula for finding area of a sector is angle/360 * area. Now plug in. Area of whole circle is 49pi. Central angle is 240. 240/360 = 2/3. 2/3*49pi = 98pi/3

Answer:

103 cm^2

i just took the quick check

Avery invested $21,000 in an account paying an interest rate of 3.3% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $29,200?

Answers

Answer:

10

Step-by-step explanation:

Answer from delta math

Ike's igloo sold 501 ice cream cones today.They sold half as many chocolate ice cream cone as vanilla ones. How many of each were sold?

Answers

Answer:

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Step-by-step explanation:

Let

The number of Chocolate cones = x

Vanilla cones = y

Ike's igloo sold 501 ice cream cones today.

x + y = 501.... Equation 1

They sold half as many chocolate ice cream cone as vanilla ones.

x = 1/2y

x = y/2

Cross multiply

y = 2x

We substitute 2x for y in Equation 1

x + 2x = 501

3x = 501

x = 501/3

x = 167

Solving for y

y = 2x

y = 2 × 167

y = 334

Therefore,

The number of

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

The tax rate at this restaurant is 9.5%.




Marc’s sales tax is $1.61. How much was his subtotal?

Answers

Answer:

I don't know, I'm just doing this to get points. lol

Step-by-step explanation:

haha

PLEASE ANSWER!
I need asap

Answers

Answer:

input sloperelation output

Step-by-step explanation:

very sorry if I'm wrong

Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2

Answers

Answer:

Multiply 15 by 9, then divide by 2.

Step-by-step explanation:

We need to solve the given expression.

[tex]15\div \dfrac{2}{9}[/tex]

We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]

We have,

a = 15, b = 2 and c = 9

So,

[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]

So, the steps are "Multiply 15 by 9, then divide by 2".

Solve x + 10 > 14. Then graph the solution.

Answers

Answer:

x>4

Step-by-step explanation:

True or False: A secant passes through a circle once where as a tangent passes through a
circle twice.

Answers

Answer:

false

Step-by-step explanation:

A secant of a curve is a line that intersects the curve at least twice.

pls hekp put in sections

Answers

B

0.68 is repeated 8 times elevated with its expressed fraction. Simplesst form will stay the same

(if i had my work that i did on paper for this than i would send it but i cant find it sorry)

(branliest will be appreciated)

“28 is 40% of what number?” i got 70, is that correct?

Answers

Answer:

70

You got it correct :)

Step-by-step explanation:

[tex]\frac{28}{y} =\frac{40}{100}[/tex]

y × 40 = 100 × 28

40y = 2800

40y ÷ 40 = 2800 ÷ 40

y = 70

Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²

Answers

Respuesta:

88,8 cm²

Explicación:

Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.

Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.

Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm

Luego, podemos calcular el área del hexágono usando la siguiente fórmula:

Area = Perímetro × Apotema / 2

Area = 48 cm × 3,7 cm / 2 = 88,8 cm²

hello please help i’ll give brainliest

Answers

Answer:

1

Step-by-step explanation:

A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).​

Answers

Answer:

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

Step-by-step explanation:

Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).

So, we use the equation in standard form

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]

Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.

Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,

-bx/a = -x ⇒ b/a = 1 ⇒ a = b

Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²

substituting c = 5 and a = b into the equation, we have

c² = a² + b²

5² = a² + a²

25 = 2a²

a² = 25/2

a = √(25/2)

a = ±5/√2

rationalizing, we have

a = ±5/√2 × √2/√2

a = ±5√2/2

Since a = b, b = ±5√2/2

Inserting a and b into the equation for the hyperbola, we have

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

So, the required equation is

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

Help please ! 11x+4<15 or 12x+7>-25

Answers

Answer:

A

Step-by-step explanation:

From the first inequality,we got:

11x+4<15

11x<11

x<1

From the second inequality,we got:

12x>-18

x>-3/2

Combine it together we got

-3/2<x<1

Answer:

All values of x are solutions

Step-by-step explanation:

Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)

Answers

Answer:

2x + 5

Step-by-step explanation:

I am assuming you are talking about a linear function. If it is, then the equation would be:

2x + 5.

Hope this helps!

Answer:

[tex]y = 2x + 5[/tex]

Step-by-step explanation:

For this example, I used the slope-intercept form, [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.

In order to find the equation, we must find the slope and y-intercept.

Finding m

The slope can be found with the formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex], where the x and y variables represent different x and y values from the given points.

Substituting in values from the points, we get:

[tex]m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2[/tex]

Finding b

In order to find the y-intercept, we must substitute the slope back into the original equation:

[tex]y = 2x + b[/tex]

After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.

[tex]-1 = 2(-3) + b\\-1 = -6 + b\\5 = b[/tex]

Finding the equation

After this, all that must be done is to substitute the values for b and m back into the original equation.

[tex]y = 2x + 5[/tex]

To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.

[tex](-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9[/tex]

Other Questions
It's History-And I'm failing that subject-So pls help- Find the area of the quadrilateral below. Formula is: A=1/2h(b1+b2)!! Answer the following questions with complete sentences in Spanish. When there are cues provided, use them in your answer. Then, record your answers aloud.1. Adnde vas para ver un partido de ftbol americano?2. Piensan Uds. en ingls o en espaol?3. A qu hora empieza la clase de arte? (1 o'clock)4. Qu puedes hacer bien? (play soccer)5. Cundo juegan Uds. al ftbol? (Sunday afternoons)6. Entiendes la tarea?7. Prefieres levantar pesas o correr?8. Tell a friend that your diet is going well.9. Pueden Uds. ir al partido de ftbol americano conmigo?10. Es importante felicitar a los ganadores? 10.The lines graphed below show the amounts of water in two tanks as they were beingfilled over time.TANK FILLING RATES+Amount of Water (gallons)1,8001,6001,4001,2001,000800600400200Tank ATank B00.51 1.5 2Time (minutes)For each tank, explain whether or not there is a proportional relationship betweenthe amount of water, in gallons, and the time, in minutes. If there is a proportionalrelationship, identify the unit rate. Use specific features of the graph to supportyour answerhp How did the Catholic Church plan to reach its goals? Choose three correct answers.by punishing Protestantsby sending missionariesby changing policiesby educating peopleby collecting moneyhurry ASAP A 52-year-old female data entry worker complained of bilateral wrist pain. Her physician prescribed a non-steroidal anti-inflammatory drug. Her wrist pain improved; however, over the next 3 months, she noted increasing fatigue and scattered bruises. Past medical history was normal. She was taking no other medications and had no recent chemical exposure. Physical examination revealed pallor and scattered ecchymoses (skin coloration) with petechiae on her chest and shoulders with no other abnormalities. Complete blood count results were as follows:WBC 2 X109/LMCV 104fLHb 8 g/dlPlatelets 27 X109/LReticulocytes 0.6%Reticulocytes 16 X 109/LNeutrophils 1.1 X 109/lLymphocytes 0.4 X 109/LSerum B12 and folate levels were normalBone marrow aspirate was normocellular with dyserthropoiesis but, normal myelopoiesis and Megakaryopoiesis. Iron stain shows normal stores. However, the bone marrow biopsy was moderately Hypocellular (30%) with a reduction in all three-cell lines. There are no increases in Reticulin. Cytogenetic testing shows a normal karyotype and results of flow cytometry for PNH cells was negative.1-What term is used to describe a decrease in all cell lines in the peripheral blood?2-Which anemia of bone marrow failure should be considered (Hereditary/ Acquired)? Why you choose this type?3- In which other diseases would an increase in either Reticulin and blasts will be noticed?4-How would the severity of this patients condition be classified (Server/ non-severe)? Why?5-What treatment modality would be considered for this patient? mWhich is equivalent to *_?V2OA.xV222xOB.V2Oc.2x12OD.D. **v22O E V2x How to pass chem!!!!!!!!!! Circumference (rounding) PLS HELP!!Find the length of AB. Find the formula and scientific units of the following:Speed =Velocity =Momentum = Velocity = Acceleration = Force = GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported. t712asap please hjvgjuiohkbjknl m kl;m A proton is moved so that its electric potential energy increases from 2.0 10-18 J to 6.0 10-18 J. The magnitude of the charge on a proton is 1.602 10-19 C.The electric potential difference through which the proton moved, to the nearest whole number, is V. situation: saw a guy fainted on the street What features did the social movements of the 1960s and 1970s have in common? What type of data display is shown below?Student Grades60699982926070HA1008090O A. HistogramO B. Box-and-whisker plotC. Stem-and-leaf plotO D. Scatterplot Pliss you can help me here When did William Butler Yeats start writing poems that involved politics G. Write a PEEL paragraph to briefly describe how the Triangle Trade worked, include: who/whatcountries were involved, what they traded and why?