Ay a benefit concert eight bands have volunteered to perform but there is only enough time for five of the bands to play how many lineups are possible

Answers

Answer 1

Using the permutation formula, as the order is important, it is found that 6720 lineups are possible.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 5 bands are selected from a set of 8, hence:

[tex]P_{8,3} = \frac{8!}{3!} = 6720[/tex]

6720 lineups are possible.

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Related Questions

Complete the equation below to make an equation that is equal to 1.

Answers

Answer: 5/10 +5/10 =10/10 =1

Step-by-step explanation: I don't think this requires much explanation. Any number with same numerator and denominator equals 1.

When you get 10/10, the first and second box can be figures that sum up to be 10.

It can be 7 and 3, it can be 6 and 4

Beth and Leslie are trying to decide which one of them gets to portray the lead character in a student play. They will use a random number generator to produce an integer. If the integer that comes up is odd, Beth gets to play the lead, and if the integer is even, Leslie gets to play the lead. Having the random integer generated be in which interval will make this a fair decision?
A) from 2 to 10 B) from 3 to 15 C) from 5 to 20 D) from 5 to 25

Answers

The fair interval illustrates a sample space

The interval that will make a fair decision is from 5 to 20

How to determine the fair interval?

From the question, we understand that:

Beth plays the lead, and if the integer is even, Leslie plays the lead, if otherwise

Since they choose odd and even integers, then the sample space must be divisible by the number of people (i.e 2 people)

The sample space (S) is calculated as:

S = Highest - Least + 1

A) from 2 to 10

S = 10 - 2 + 1 = 9

B) from 3 to 15

S = 15 - 3 + 1 = 13

C) from 5 to 20

S = 20 - 5 + 1 = 16

D) from 5 to 25

S = 25 - 5 + 1 = 21

Only 16 can be divisible by 2

Hence, the interval that will make a fair decision is from 5 to 20

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Describe the difference between rotation and revolution. Your answer should include a definition of each as well as what each one causes.

Answers

Answer:

Rotation" refers to an object's spinning motion about its own axis.

"Revolution" refers the object's orbital motion around another object.

For example, Earth rotates on its own axis, producing the 24-hour ( a day.)

Earth revolves about the Sun, producing the 365-day (a year).

Write −0.258
as a fraction in simplest form. ITS NOT 129/500

Answers

It is -129/500, it isn’t positive
answer: -129/500
explanation:

If you donate $150 in total a year , How much money did you donate on the first month of the year.

Answers

Answer:

$12.50

Step-by-step explanation:

You donate $150 in total in a year.

To find out how much you donated on the first month, remember the relation between a year and number of months.

⇒ 1 year = 12 months

⇒ 1 month = 1/12 year

Finding the amount donated

Divide the money donated in a year by 12$150/12$12.50

7 pounds of turkey cost $21

Answers

Answer:

1 pound of turkey is 3 dollars

Step-by-step explanation:

Answer:

1 lb of turkey costs 3$

Step-by-step explanation:

You divide the cost by the pound to find the answer

21/7 =3

I NEED HELP! I don’t get it at all

Answers

Answer:

5.83 cubic feet

Step-by-step explanation:

Volume of block1 :

l = 4 ft

[tex]\sf w = \dfrac{5}{6} \ ft\\\\ h = 1\dfrac{1}{6}=\dfrac{7}{6} \ ft[/tex]

[tex]\sf Volume \ of \ block1 = l*w*h\\[/tex]

                            [tex]\sf =4 *\dfrac{5}{6}*\dfrac{7}{6}\\\\ =\dfrac{5}{3}*\dfrac{7}{3}\\\\= \dfrac{35}{9} \ cubicfeet[/tex]

Volume of block2:

  l = 4 ft

  [tex]w = 1\dfrac{2}{3}-\dfrac{5}{6}\\\\ =\dfrac{5}{3}-\dfrac{5}{6}\\\\ =\dfrac{5*2}{3*2}-\dfrac{5}{6}\\\\=\dfrac{10}{6}-\dfrac{5}{6}\\\\w =\dfrac{5}{6} \ ft\\\\h =\dfrac{7}{12} \ ft[/tex]

            [tex]\sf Volume \ of \ block2 = 4 *\dfrac{5}{6}*\dfrac{7}{12}[/tex]

                                       [tex]\sf = \dfrac{5}{6}*\dfrac{7}{3}\\\\= \dfrac{35}{18} \ cubicft[/tex]

Amount of concrete to build stairs = Volume of block1 + volume of block2

                                                [tex]\sf = \dfrac{35}{9}+\dfrac{35}{18}\\\\=\dfrac{35*2}{9*2}+\dfrac{35}{18}\\\\=\dfrac{70}{18}+\dfrac{35}{18}\\\\=\dfrac{105}{18}\\\\= 5.83 \ cubic feet[/tex]

What is the product? (2 x minus 1)(x 4) 2 x squared minus 4 2 x squared 4 2 x squared 7 x minus 4 2 x squared minus 7 x minus 4

Answers

The product of the given equation (2x - 1)(x +4) is 2x^{2} +7x -4.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

[tex](2x - 1)(x +4)[/tex]

Multiply term by term,

[tex]2x \times x + 2x \times 4+ (-1)\times x + (-1)\times 4\\2x^{2} +8x -x -4\\2x^{2} +7x -4[/tex]

Thus, The product of the given equation is [tex]2x^{2} +7x -4[/tex].

Learn more about quadratic equations;

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Help me with this question, please

Answers

Answer:

Step-by-step explanation:

x+y=10

1.50x+2.50y=22

Then use the the elimination method. The final answer is x=3, y=7.

Choose the square with a perimeter of 24 inches.

A) A

B) B

C) C

Answers

Answer:

A. 6+6+6+6=24

Hope this helps!

Answer:

its a

Step-by-step explanation:

⇒ because if you add 6 four types it equals = 24 inches hope this helped

Need help with this problem

Answers

Answer: B) 86°

Step-by-step explanation:

The angles of a triangle always add to equal 180.

So let's call the third angle x and add the other two angles with it.

32+62+x=180

94+x=180

Now we solve for x

Subtract 94 from both sides

94-94+x=180=94

x=86

ok only 3 questions and going to sleep

WILL MARK BRAINLIEST

Answers

Answer:

71.2

Step-by-step explanation:

PEMDAS is Parentheses, Exponent, Multiplication, Addition, Subtraction

This is just the order you do the operations.

First, Parentheses.

Second, Exponents,

Third, Multiplication or Division

Last, Addition or Subtraction

So, in 6 x (2.4 + 10.3) - 5

We first do parentheses which is

(2.4 + 10.3) = 12.7

Now we have,

6 x 12.7 - 5

The next thing is multiplication

6 x 12.7 = 76.2

Now we have,

76.2 - 5

Lastly subtract,

76.2 - 5 = 71.2

The wood on the back deck of a house needs waterproofing. The shape of the deck is a rectangle with the length * 35 feet and a width of 5 yards. A gallon can of waterproof stain covers 80 square feet and costs $19.99 per can plus 7% sales tax. You go to the hardware store to purchase the waterproof stain needed to complete the job. You give the cashier $150.
How much change do you receive, or how much additional cash must you find in order to be able to pay for all of the
stain you need? You must show all calculations.
Area of Rectangle = length X width
You cannot split up a can of stain.
You must show all calculations.

Answers

Hey I hope you have a good day today

Is 6x^-3x a polynomial

Answers

no, a polynomial should have four terms
example: 5xy^2 - 3x + 5y^3 - 3

Factor the polynomial 3x4 – 2x2 15x2 – 10 by grouping. which product is the factored form of the polynomial? (–x2 – 5)(3x2 2) (x2 – 2)(3x2 5) (x2 5)(3x2 – 2) (3x2 – 5)(x2 2)

Answers

The factor of the given polynomial are (3x^2-2)(x^2+5)

The polynomial

[tex]3x^4-2x^2+15x^2-10[/tex]

What is the factor of the polynomial?

Factoring a polynomial is expressing the polynomial as a product.

The rearranged, grouped, and solved as follows

[tex]3x^4+15x^2-2x^2-10[/tex]

[tex]3x^4+15x^2-(2x^2+10)[/tex]

Factor out the common term

[tex]3x^2(x^2+5)-2(x^2+5)[/tex]

[tex](3x^2-2)(x^2+5)[/tex]

That is the third option is the correct option.

Therefore the factor of the given polynomial are  (3x^2-2)(x^2+5)

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What is the quotient of (3x4 – 4x2 8x – 1) ÷ (x – 2)? 3x3 6x2 8x 24 – startfraction 47 over x minus 2 endfraction 3x3 6x2 8x 24 startfraction 47 over 3 x superscript 4 baseline minus 4 x squared 8 x minus 1 endfraction 3x3 6x2 8x 24 startfraction 47 over x minus 2 endfraction 3x3 6x2 8x 24 – startfraction 47 over 3 x superscript 4 baseline minus 4 x squared 8 x minus 1 endfraction

Answers

The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

It can be expressed as 3x³ + 6x² + 8x + 24  + 47 / x - 2

What are the Quotients?

Quotients is the number obtained by dividing one number by another.  

The given expression is;

(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)

Using synthetic division:

(3x⁴ - 4x² + 8x - 1) / (x - 2)  = 3x³ + 6x² + 8x + 24 remainder 47

3x⁴ - 4x² + 8x - 1 → Dividend

x - 2 → Divisor

3x³ + 6x² + 8x + 24 → Quotient

47 → Remainder

The quotient is;

[tex]\rm =\dfrac{3x^4-4x^2+8x-1}{x-2}\\\\=\dfrac{(3x^3 + 6x^2 + 8x + 24)(x-2)}{x-2}\\\\=3x^3 + 6x^2 + 8x + 24[/tex]

Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

learn more on quotients:

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The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) would be 3x³ + 6x² + 8x + 24.

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number.

The given expression

(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)

(3x⁴ - 4x² + 8x - 1) / (x - 2)  = 3x³ + 6x² + 8x + 24

remainder is 47

Here,

3x⁴ - 4x² + 8x - 1 = Dividend

x - 2 = Divisor

3x³ + 6x² + 8x + 24 = Quotient

47 = Remainder

The quotient is;

(3x⁴ - 4x² + 8x - 1) / (x - 2)

(3x⁴ - 4x² + 8x +24) (x - 2) / (x - 2)

3x³ + 6x² + 8x + 24

Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

learn more about quotients:

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Will V − E + F always equal 2?

Answers

The expression V − E + F is an illustration of the Euler's formula.

The expression V − E + F is always 2

How to determine the true statement?

The equation is given as:

V - E + F = 2

Where:

V represents the verticesE represents the edgesF represents the faces

According to the Euler's formula, the relationship between V, E and F is:

V + F = 2 + E

Subtract E from both sides

V - E + F = 2

Hence, the expression V − E + F is always 2

Read more about Euler's formula at:

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A copy machine makes 44 copies per minute. How many copies does it make in 4 minutes and 15 seconds?

Answers

Answer: 102 copies

Step-by-step explanation:

4 minutes and 15 seconds are 4.25 minutes, so it will make 102 copies in that time

44 copies/minute
If there are 44 copies made in 4 minutes; 44 (copies) x 4 (minutes) = 176 copies

To find how many copies are in a fraction of a minute

Divide 44 by whatever value your time frame is by 60; 44 / (60/15) = 11 copies

176 copies + 11 copies = 187 copies in 4 minutes and 15 seconds

To estimate the product of 44 x 52, what is the best way to round the factors?

45 x 55
40 x 50
50 x 50
40 x 55
WILL MARK BRAINLIEST

Answers

40 x 50 reduce to lowest term

Find f(3) if f(x) = 4x + 12.​

Answers

F(3)=24, plug in 3 for all x

A point has zero dimension.
Q.A. True
• B. False
SUBMIT

Answers

true. a point is just a position in space that has no dimensions. :)

Which expression is equal to

Answers

answer: the third one
explanation: below

Write these as ordinary numbers:
A. 4×10³
B. 7×10⁹
C. 4×10⁰

Answers

A) 4×10³

= 4000

B. 7×10⁹

= 7000000000

C. 4×10⁰

= 4

( to convert back to ordinary form just move the decimal point according to the power. )

Answer:

A. 4000

B. 7000000000

C. 4

Step-by-step explanation:

A. 4×10³

= 4 × 1000

= 4000

B. 7×10⁹

= 7×1000000000

= 7000000000

C. 4×10⁰

(a⁰=1)

= 4×1

= 4

!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Can someone help me with this problem?

Answers

30(2+1) is the answer

Answer:

30(2+1)

Step-by-step explanation:

Again, find common highest number. It is 30.

60/30 =2

30/30 = 1

so,

30(2+1)

Help me please thanks

Answers

First one i think not positice

5(w. 9)

hope it really helps...!!!

Jenna concludes that (4, 9) is the solution to the system of these two equations. Which of the following justifies her conclusion?
Only these two lines contain the point (4, 9).
The point (4, 9) appears in both tables.
These two lines have the same rate of change.
These two lines are perpendicular to each other.

Answers

The point (4,9) appears in both tables. A solution of a system of equations is defined
as a point

Parallelogram ABCD has the following vertices: A(3,6), B(6,8), C(9,6), and D(6,4). In two ut more complete sentences, explain how you can use the coordinates of the vertices to prove that parallelogram ABCD is a rhombus.​

Answers

Explanation:

A rhombus is a parallelogram in which the diagonals are mutual perpendicular bisectors. The coordinates of the vertices can be used to show ...

the diagonals bisect each otherthe diagonals are perpendicular

When both these conditions are met, the quadrilateral is a rhombus.

__

Mutual Bisectors

The diagonals will have the same midpoint (bisect each other) if the sum of the coordinates at the ends of one diagonal is the same as the sum of the end point coordinates of the other diagonal:

  A +C = B +D

  (3, 6) +(9, 6) = (6, 8) +(6, 4)

  (3+9, 6 +6) = (6 +6, 8 +4)

  (12, 12) = (12, 12) . . . . . . midpoints are the same; ABCD is a parallelogram

__

Perpendicular

The diagonals will be perpendicular if the sum of the products of the coordinate differences of their end points is zero.

  AC⋅BD = (C -A)⋅(D -B) = (9 -3, 6 -6)⋅(6 -6, 4 -8)

  = (6, 0)⋅(0, -4) . . . . . end point differences; we want their dot-product

  = (6)(0) +(0)(-4) = 0 +0 = 0 . . . . diagonals are perpendicular

_____

Additional comment

The midpoints are computed as (A+C)/2 and (B+D)/2. We have multiplied each of them by 2 to simplify the arithmetic. Our resulting sums of (12, 12) must be divided by 2 to get the actual midpoint of the rhombus: (6, 6).

The notion of "dot product" is a vector notion. Two vectors are perpendicular when their dot product is zero. The dot product is the scalar sum of the products of corresponding coordinates.

hello brainly team I need help​

Answers

Answer:

5)

x=13.856

y=8

6)

u=4

v=3.464

Step-by-step explanation:

5)

y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

y = 16*sin(30)/sin(90)

y=8

x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

x=16*sin(60)/sin(90)

x=13.856

6)

sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)

sin(90)/u= sin(30)/2

u *sin(30) = 2* sin(90)

u *sin(30) = 2

u=2/sin(30)

u=2/0.5

u=4

sin(60)/v= sin(30)/2

v *sin(30) = 2* sin(60)

v *sin(30) = 2 * 0.866

v * sin(30) = 1.73

v = 1.73/sin(30)

v = 3.464

∴⊂Answer ⊃∴

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[5] x = 8 and y =  13.856

[6] v = 4 and u = 3.464

≤ Step-by-step explanation ≥

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

[5]

sin60° = x/16 = 1/2

x = 16/2 = 8

cos60° = y/16 = √3/2

y = 16√3/2 = 8√3

Can also be : 8√3 = 13.856

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

[6]

sin30° = 2/u = 1/2

u = 2 x 2 = 4

tan30° = 2/v = √3

v = 2√3

can also be:  2√3= 3.464

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

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

Lars read that there are about
210,000 grains of salt in one
teaspoon.
How is 210,000 written as a power
of ten?
A. 210 X 104
B. 21 X 104
C. 21 X 108
D. 2.1 X 10^

Answers

Answer

the answer is a

Step-by-step explanation:

{The answer is B}, because 21 times 10 is 210 and then do power of ten, power of ten 3 more times will get you to 210,000. (Basically adding [4] zeros at the end)

which graph represents the solution set of this inequality?

please help!!!

Answers

Answer:

C is the correct answer due to two-step inequality process

Step-by-step explanation:

Your inequality is: 5a + 18 < -27

First,  you must remember that the < or > shall not be shaded in.

You could automatically eliminate answer A.

Now you need to do two-step inequalities which is the same thing as two-step equations but with an inequality sign.

5a + 18 < -27

5a < -27-18

5a < -45

**Now, here's something important: If you are multiplying with negatives while dealing with inequalities you must switch the sign to its opposite.

-9 > a

You need to find a number line that has numbers less than -9. It could be -10, -11, -12, -122, etc.

C is the correct answer.

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