Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.
How many possible flags can be created?

Answers

Answer 1

Answer:

182

The number of permutations of 14 things taken 2 at a time is ...

 14P2 = 14·13 = 182

The first color can be any of the 14 on the palette. The second color must be different, so can be any of the remaining 13.

___

We assume that a "yellow/red" flag is different from a "red/yellow" flag. That is, order matters.


Related Questions

Ginny buys 7 magazines for 2.80 how much does 1 cost?
How much does do 5 magazine cost?

Answers

Answer:

one costs 0.40 and 5 cost 2.00

Step-by-step explanation:

bc 2.80/7 = 0.40

0.40 times 5 = 2.00

Evaluate each expression if a = 6, b=3, and c=2.

1. 6+c
2. a-b
3. 2 c
4. a-1
5. c+4
6. a/b
7. b÷3
8. ab

choices:
8
5
18
1
6
4
3
2

Answers

1. 8
2. 3
3. 6
4. 5
5. 6
6. 2
7. 1
8. 18
1. 8
2. 3
3. 4
4. 5
5. 6
6. 2
7. 1
8. 18

The length of a rectangle is eight more than twice it's width. the perimeter is 96 feet. find the dimensions

Variables:


equation:



Solution:​

Answers

Answer:

the length and width be 13.33 feet and 34.67 feet respectively

Step-by-step explanation:

The computation is shown below:

Let us assume the width be x

So, the length be 2x + 8

As we know that

The perimeter of the rectangle = 2(length + width)

96 = 2(2x + 8 + x)

96 = 4x + 16 + 2x

96 - 16 = 6x

80 = 6x

x = 80 ÷ 6

= 13.33 feet

So, the length would be

= 2 × 13.33 + 8

= 34.67 feet

Hence, the length and width be 13.33 feet and 34.67 feet respectively

What is the 27th term in this arithmetic sequence 59, 56, 53, 50, ...

Answers

Answer:

2

Step-by-step explanation:

All u need to do, is subtract 3, until u get to the 20th sequence.

59, 56, 53, 50, 47, 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5, 2

please help thank you so much

Answers

Answer:

Q=63 degrees

Step-by-step explanation:

R=60 degrees

since T=123 degrees, S=180-123=57 degrees

There is 180 degrees in a triangle

Q=180-60-57

Q=63 degrees

uhh help lol
5.3x + y = 28.5
4.2x + 3.1y = 27.2
find x and y

Answers

Answer:

x = 5, y = 2

Step-by-step explanation:

First, isolate y in the top equation.

[tex]y = -5.3x+28.5[/tex]

Next, substitute y in the bottom equation.

[tex]4.2x + 3.1(-5.3x + 28.5) = 27.2[/tex]

[tex]5.3x + y = 28.5[/tex]

Simplify.

[tex]4.2x + -16.43x + 88.35 = 27.2[/tex]

Combine like terms.

[tex]-12.23x + 88.35 = 27.2[/tex]

Isolate x on one side.

[tex]-12.23x = -61.15[/tex]

Isolate x.

[tex]x = 5[/tex]

Substitute x into [tex]5.3x + y = 28.5[/tex]

[tex]5.3(5) + y = 28.5[/tex]

Simplify.

[tex]26.5 + y = 28.5[/tex]

Isolate y.

[tex]y = 2[/tex]

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

Write the equation in standard form:
y + 5 = - (x + 3)

Answers

Answer:

x + y = -8

Step-by-step explanation:

The ratio of males to females at a party is 3 : 5

There are 12 more females than males.

How many people are at the party?

Answers

if there are 12 more females and the ratio is two up in favour of females that means that 1 equals to 6, so there are 30 females and 18 males. (30 + 18 = 48)

Answer:

48

Step-by-step explanation:

Given ratio of males to females at a party is 3 : 5.

Let the numbers of males and females be 3x and 5x respectively.

According to the given description:

No of females = No of males + 13

Therefore,

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

No of people at the party

= 3x + 5x

= 8x

= 8*6

= 48

Find the minimum and maximum possible areas for a rectangle with the following measured area.


6 in. × 9 in.


A.
46.75 in.2, 61.75 in.2


B.
53.5 in.2, 54.5 in.2


C.
40.0 in.2, 54 in.2


D.
40.5 in.2, 54.5 in.2

Answers

Answer:

46.75 in.2, 61.75 in.2

Step-by-step explanation:

its in your notes/lesson on gradpoint

What is the probability that a resident is in the age group 60-69? a. 0.385 c. 0.35 b. 0.37 d. 0.4

Answers

Answer:

b. 0.37

Step-by-step explanation:

it asks for everyone from 60-69 so you add the male and female together and put it into a fraction it should come out as .37/1 or 0.37

16q3-48q2+32q what would be the steps on how to do this? please?​

Answers

Answer:

Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.

so assuming the gaps missng are exponents

the solution is the same exact thing

it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine

same with 32 q, nothing combines

The answer is the original expression

Which fraction is equivalent 5/20?

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

5/20

divide both sides of the fraction by 5

5/5 = 1

20/5 = 4

1/4

Find the area of the shape shown below plz help

Answers

Answer:

60? I'm really not sure mate, i'm really sorry if it's wrong.

Step-by-step explanation:

A video posted to the internet had 3,200 views in its first week

(a ) The video got 4, 640 views in its second week. What was the percent increase in the views from the first week?

Answers

Answer:

45%

Step-by-step explanation:

The computation of the percentage increase from the first week is shown below:

Given that

In the first week there is 3,200 views

And, in the second week, there is 4,640 views

So, the percentage increase is

= (Second week views - first week views) ÷ (first week views)

= (4,640 - 3,200) ÷ (3,200)

= 45%

Expand and simplify
(x-4) (x+3) (x-10)

Answers

Answer:

=(x-4)(x+3)(x-10)

=11x³-7x²+58x+120

hope it helps.

Alg. 1 question, I will mark brainliest for the best/first answer!
One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the rectangle?

Which of the following equations could be used to solve the problem?
A. 2 x + 2( x - 3) = 54
B. 2 x - 3 = 54
C. 2 x + 2 x - 3 = 54

Answers

Answer:

A

Step-by-step explanation:

Let the two sides of the rectangle be x and y.

Then the perimeter will be:

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

Since the perimeter is 54:

[tex]2x+2y=54[/tex]

We know that one side of the rectangle is 3 inches shorter than the other.

Let y be the shorter side. It is 3 less than x.

Therefore:

[tex]y=x-3[/tex]

Then by substitution, we acquire:

[tex]2x+2(x-3)=54[/tex]

The answer is A.

The bakers at
Good-For-You Bakery can
make 500 bagels in 2
hours. How many bagels
can they bake in 14
hours? What was that rate
per hour?

Answers

Answer:

Rate: 250 bagels per hour

3500 bagels in 14 hours

Step-by-step explanation:

plz help me
Jackson and his sister ran a hose from a bucket into their swimming pool. The hose sprays 1/3 of a gallon from the bucket every second. The bucket started with 32 gallons of water. How long will it take to empty the bucket?

Answers

Answer:

96 seconds

Step-by-step explanation:

In order to find how long it will take to empty the bucket, you must multiply the number of gallons by the reciprocal of the fraction.

1. Reciprocal of [tex]\frac{1}{3}[/tex] is [tex]\frac{3}{1}[/tex] which is 3

2. multiply 32 by 3 to get your answer, 96.

I hope this helped!

-11x (5lx + 12)
Simplify using the distributive property: show all 2 steps!!!

Answers

Answer:

Step-by-step explanation:

-11x (5lx + 12)=(-11x)(51x)+(-11x)(12)

                    =-561x²-132x

 

MK = 24, JL = 20, and m

The quadrilateral below is a rhombus. Find the missing measures. Any decimal answers should be rounded to the nearest tenth.


NK =

m

NL =

m

ML =

m

JM =

m

m

Answers

Answer:

The answer is below

Step-by-step explanation:

If the quadrilateral below is a rhombus, find the missing measures.

MK = 24, JL = 20, and mZMJL = 50°

Solution:

A rhombus is a quadrilateral (has four sides and four angles) such that all the sides are of equal length.

The diagonals of a rhombus bisect each other.

NK = MK / 2 (diagonals of a rhombus bisect each other)

NK = 24 / 2 = 12

NL = JL / 2 (diagonals of a rhombus bisect each other)

NL = 20 / 2 = 10

In triangle MNL, ∠N = 90°

MN = NK = 12 , NL = 10. Using Pythagorean theorem:

ML² = MN² + NL²

ML² = 12² + 10²

ML² = 244

ML = √244

ML = 2√61 = 15.62

JM = ML  = 15.62 (all sides of a rhombus are equal)

∠KNL = 90° (diagonals are perpendicular bisectors)

∠KJL = ∠MJL (diagonals bisect angles)

∠KJL = 50°

∠MJK = ∠KJL + ∠MJL = 50 + 50 = 100°

∠MJK = ∠MLK (opposite angles are equal)

∠MLK = 100°

∠NJK + ∠JNK + ∠JKM = 180° (sum of angles in triangle)

50 + 90 + ∠JKM = 180

∠JKM = 40°

∠JKL = 2 * ∠JKM (diagonal bisect angle)

∠JKL = 2 * 40

∠JKL = 80°

∠JKL = ∠JML (opposite angles are equal)

∠JML = 80°

A running track has two straight sides with length 140 m and two semicircle ends with radius 70 m. It takes Kat 40 seconds to jog 160 m. How long would it take her to jog around the track 51 times? Give your answer in hours and minutes, to the nearest minute.

Answers

It would take her 4590 seconds to jog round the track 51 times

Speed is the ratio of the total distance travelled to total time taken. It is given by:

Speed = distance / time

Kat uses 40 seconds to jog 160 m, hence:

Speed = 160 m / 40 s = 4 m/s

The track length = 140 m + 2 * (π * 70) = 360 m

Time taken to jog round the track (t) is:

4 m/s = 360 m / t

t = 90 s

To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds

It would take her 4590 seconds to jog round the track 51 times

Find out more at: https://brainly.com/question/23774048

For what values of x and y are the triangles to
the right congruent by HL?

Answers

Answer:

x = 12, y = 4

Step-by-step explanation:

For the triangles to be congruent by HL , then

x = y + 8 → (1)

4y = x + 4 → (2)

Substitute x = y + 8 into (2)

4y = y + 8 + 4

4y = y + 12 ( subtract y from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Substitute y = 4 into (1)

x = 4 + 8 = 12

If Juan makes $20 an hour, write an equation that
shows how much Juan can expect to make over time.

Answers

Answer:

Let y be the total earning x be the hours workedand 20 be the hourly rate y=20x

how do you convert x + 5y =-5 into slope intercept form?

Answers

Answer:Convert it to the slope intercept form by solving for y . Add x to both sides. Divide both sides by 5 . y=15x−1 is the slope intercept form of a linear equation, y=mx+b , where m is the slope, 15 and b is the y-intercept, −1

Step-by-step explanation:

Help me please... I have a lot more things to do and I wanna get this done.

Answers

Answer:

-6

Step-by-step explanation:

count

Answer:

-6

Step-by-step explanation:

each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.

I need help fast thank you!

Answers

Answer:

the third one

Step-by-step explanation:







The transformation indicated on the graph is a: reflection translation rotation

Answers

Answer:

reflection

Step-by-step explanation:

I just got it right.

What single percentage change is equivalent to a 9% increase followed by a 14% decrease?

Answers

Assume the number 100. 100*1.09=109. You then do 109*0.86=93.74.

So the overall decrease is 6.26%.

Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please

Answers

Answer:

0

Step-by-step explanation:

You did not move the dot over at all on the x-axis, only on the y-axis

Answer:    x is 0 and y is 3

I AM TIMED PLZ HELP!!!!!!!!!!!

Answers

I think it’s D might be wrong though
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