Alex has 14 bulbs to make a string of holiday lights. How many distinct arrangements can he make if
he has 3 red bulbs, 4 green bulbs, 2 blue bulbs, and 5 yellow bulbs?

Answers

Answer 1

We have "9 sockets choose 3" for the 3 red lights. That's (9C3) ways.

After screwing in those 3 red bulbs, there remain only 6 open sockets.

We have "6 sockets choose 4" for the 4 yellow lights. That's (6C4) ways.

After screwing in those 4 red bulbs, there remain only 2 open sockets.

We have "2 sockets choose 2" for the blue lights. That's (2C2) = 1 way.

After screwing in those 2 bulbs, all the sockets have a bulb in them.

Answer (9C3)(6C4)(2C2) = 1260.


Related Questions

John drives from home to his
parents house and then to a
cafe. His parents house is 13
miles south of his home and
the cafe is 6 miles east of his
parents house. What is the
distance, in miles, between his
home and the cafe SHOW YOUR WORK

Answers

Answer:

13=6 and no

Step-by-step explanation:

Answer:

The distance is 19 miles

Step-by-step explanation:

I know that because you have to add how many he drove to his parents and the amount of miles driven to the cafe and then it will give the total amount driven.

If you earn 15% on your investment how long will it take for your money to double using the rule of 72

Answers

Answer:

If you earn 15% the answer will be 10.8

Step-by-step explanation:

I know this because if you use the rule of 72 you will have to divide the two numbers together and the you will come out with 10.8

Fill in the blank with a number to make a true statement. *
0.25 / ? = -0.25

Answers

0.25/-1=-0.25 because +/- = -

Help pls!!!!!!


Yghhjjhgf

Answers

Answer:

[tex]\sf{Exact\:form:\\\sqrt[4]{81}\\[/tex]

[tex]\bold{Decimal\:form:-3}[/tex]

Step-by-step explanation:

[tex]-81^\frac{1}{4}[/tex]

[tex]\mathrm{Convert\: to\: radical\: form\: using\: the\: formula\:}\: a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]

[tex]\mathrm{If\:} n \mathrm{\:is\: a\: positive\: integer\: that\: is\: greater\: than\:} x\mathrm{\:and\:} a \mathrm{\:is\: a\: real\: number\: or\: a\: factor, then} \\a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]

[tex]\mathrm{Use\: the\: rule\: to\: convert\: -81^\frac{1}{4}\: to\: a\: radical, where\:} a=-81,\ x=1, \mathrm{and\:} n=4\\\sqrt[4]{81}[/tex]

[tex]\mathrm{Plug\: the\: points:}\\\\a^\frac{x}{n} = \sqrt[n]{a^x}\\-81^\frac{1}{4} =\sqrt[4]{81}[/tex]

[tex]\mathrm{Solve}\\\\\mathrm{The\: result\: can\: be\: shown\: in\: multiple\: forms.}[/tex]

Use the table below to answer the following question,
2:
хо 1 2 3 4 5 6
y 100 200 400 800 1,600 3,200 6,400
Which equation BEST fits the data given in the table?
se 3:
Of(x) = { (200)*
Of(x) = 100(2)*
uge 4
f(x) = 200)
age 5
Of(x) = 200(2)*
5
Previous Page
Next Page
Page 2 of 11

Answers

Answer Of(x) = 200(2)

Step-by-step explanation:

Of(x) = 200(2)

Grace collected 7 2/3 bins of glass bottles to recycle. Kenneth collected 7 5/6 times as many
bins as Grace. How many bins of bottles did Kenneth collect?

Answers

Answer:

Kenneth collected 60 bins of bottles.


Solution:

(7 2/5) * (7 5/6) = 60.05


Benji took out a $10,000 loan at a 13% interest rate. Benji will not make a payment for the next 3 years. How much will be owed in 3 years with monthly compounding?

Round your answer to the nearest cent.
(please help)

Answers

Answer:

Plug into calc

Step-by-step explanation:

A= P(1+r/n)^nt

A= 10000(1+.13/12)^12*3

I need help really bad! I have literally no clue what the answer is to this question

Answers

Answer: C is the answer

Answer:

The second answer: {(-1, 4),(2, 7),(3,7)} because every x value has one y value

Choose all of the equations that are equivalent to 8k = 20.

Answers

Answer:

D

Step-by-step explanation:

it's 100% I'm super sure

x^3-3x^2+x-2/10x^4-14x^3-10x^2+6x-10

Answers

Answer:

The quotient is 10x+16

The remainder is 28x^2+10x+22

What is the answer I’m so stuck on this one

Answers

the answer is B

P/s : i use my calculator

ok done. Thank to me :>

Option A is the answer

The letters A, B, and C can be arranged in six ways. Five ways are listed below.
Find the sixth way.
АВС ACB BAC ВСА САВ

Answers

Answer:

CBA would be the sixth

Step-by-step explanation:

CBA would be the sixth and and final one

Find the cardinal number of the set:
C={1/x x is an integer that's greater than or equal to 4 and less than or equal to 9}.

Answers

Answer: 6

Step-by-step explanation:

Ok lemme actually format this set

[tex]$C = \left\{\frac 1x : x \in \mathbb{Z}\ \text{and}\ 4 \leq x \leq 9\right\}$[/tex]

Well the only integers from 4 to 9 are 4, 5, 6, 7, 8, 9. So this set is just

[tex]$C = \left\{\frac 14, \frac 15, \frac 16, \frac 17, \frac 18, \frac 19\right\}$[/tex]

which has cardinality [tex]\boxed{6}[/tex] .

Dеtеrmіnе tһе rаnցе օf tһе fսnсtіօn f(х) = 2х + 1 ԝһеn tһе ԁօmаіn іѕ {-3, 9, 15}.

Answers

Answer:

Range: {-5, 19, 31}

Step-by-step explanation:

Given the linear function, f(x) = 2x + 1, and the domain, {-3, 9, 15}.

In order to determine the range of the given linear function, simply substitute each domain value as inputs into the function.

x = -3

f(x) = 2x + 1

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

f(-3) = -6 + 1

f(-3) = -5

x = 9

f(9) = 2x + 1

f(9) = 2(9) + 1

f(9) = 18 + 1

f(9) = 19

x = 15

f(15) = 2x + 1

f(15) = 2(15) + 1

f(15) = 30 + 1

f(15) = 31

Therfore, the range of the function is: {-5, 19, 31}.

27 red bikes out of 33 bikes

Answers

The total is 33 bikes. 27 out of the 33 bikes are red. Therefore, we have a number of parts to a whole, so we can create a fraction to calculate the percentage of red bikes.

27/33 = .818

.818 x 100 = 81.81%.

• To calculate a percentage, divide the numerator by the denominator and multiply by 100. Here’s a formula to remember: n/d•100, where n=numerator and d=denominator.

Therefore, 81.81% of the bikes are red.

Feel free to give Brainliest!

PLEASE HELP EXPLAIN !! SHOW WORK FOR BRAINLIEST Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has an H value of 0.0004, what is the pH of the substance, rounded to the nearest tenth?

Answers

3.4

Step-by-step explanation:

The pH or acidity of a solution is given by the equation

[tex]pH = -\log{[H]}[/tex]

where [H] is the concentration of [tex]H^+[/tex] ions. If the [tex]H^+[/tex] concentration is 0.0004 (=[tex]4×10^{-4}),[/tex] then its pH level is

[tex]pH = -\log{(4×10^{-4})} = 3.4[/tex]

odd numbers between 20 and 46 that are mutiples of 3

Answers

Answer:

h

Step-by-step explanation:

h

Answer:

they should be 21 27 33 39 45

Step-by-step explanation:

:)

A 13 foot ladder is placed
5 feet away from a wall
How many feet up the wall
will the ladder reach?

Answers

Answer: 12 feet up

Step-by-step explanation:

This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs.  Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)

[tex]a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12[/tex]

N.B. There are some very useful sets of numbers that can help you with this unit.

They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles.  The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))

Hope it helps :) and let me know if you want me to elaborate further.

Find 3 ordered pairs for each equation

Y= 5x+1

Y=10 - x

Y= 2x

Answers

1. (0,1) , (1,6) , (2,11)

2. (0,10) , (1,9) , (2,8)

3. (0,0) , (1,2) , (2,4)

hope this helps.

PLS HELP HELPPPPPPP!!!!!!!!!

Answers

Answer:

[tex]18ft[/tex]

[tex] \frac{bm}{ba} = \frac{bn}{bc} \\ \frac{4}{8} = \frac{3}{6} \\ \frac{1}{2 } = \frac{1}{2} [/tex]

Which equation has a solution of r = 1/3

Answers

Answer:

                 

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A.

2 2/3 + r = 3

r = 3 - 2 2/3

r = 1/3

B.

r - 1 = 2/3

r = 1 2/3

C.

3r = 1/3

r = 1/9

D.

4r = 12

r = 3

Answer: A.

Reasoning if you know one angle measure of a parallelogram, how do you find the other three angle measures? Explain. ​

Answers

To find the other angles in a parallelogram if only one is given then you need to subtract the number with 180 to find the consecutive angles. With the theorem 6-5 opposite angles are congruent, so the opposite side would have the same value.

VERY EASY IF YOU TYPE RIGHT AWSNER I WILL MARK AS BRAINLISt 5th grade super easy

Answers

Answer: 2

Step-by-step explanation:

2/7 + 13/14 = 1 3/14

4/14+13/14 = 17/14

2
because it’s common sense

plz help!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

Use the exterior angle theorem

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

82+ x = 2x + 18

64 = x

PQS angle = 2x + 18 = (2×64) + 18

= 146

You are asked to prepare 900mls of 3% sucrose. How much sucrose do you need?

Answers

Answer:

27g of sucrose

Step-by-step explanation:

You would need 3g of sucrose per ever 100ml and you have 900ml therefore 27g

Would anyone help me with this please, worth 20 pts.

Answers

Answer:

Below in bold.

Step-by-step explanation:

The perimeter = length of 3 sides of the square + 1/2 the circumference of the circle. The radius of the circle = 2.5 in and its circumference = 2π r and 1/2 of this is π r.

So the perimeter = 3*5 + π  r

= 15 + 2.5π

= 22.85 in  to the nearest hundredth.

Greg paid $324.50 for guitar lessons. He paid a $124.50 registration fee and $40 for each week he was enrolled in lessons. What is w, the number of weeks Greg was enrolled in guitar lessons?

Answers

5 week is the answer because 324.50 - 124.50 since it’s a one time payment so now it’s remaining is 200/$40 a week = 5 weeks

A group of 6 friends rent a cabin on a campsite. It costs $62.88 to rent the cabin. if they divide the cost evenly between them, how much does each friend need to pay?

Answers

Answer: Each friend needs to pay $10.48

Expand 5(2x-4) please please

Answers

Answer:

10x - 20

Step-by-step explanation:

Distribute 5 to each of the terms within the parentheses to get 5(2x) - 5(4) = 10x - 20.

does anybody know this?​

Answers

Answer:

8  5/9

Step-by-step explanation:

6 1/3 + 2 2/9

Get a common denominator of 9

6 1/3 *3/3  + 2 2/9

6 3/9 + 2 2/9

8  5/9

Other Questions
At his birthday party, John's mother served a plate of 23 cupcakes. If every person at the party ate the same amount of cupcakes and all of the cupcakes were eaten, how many peoplewere at John's birthday party?A) 23B) 12C) 6D) 4 BRAINLIEST x 3It is kinda late and I need to finish my workPlease help meIf you answer this I will create two other posts to give you extra brainliests Heeeeeeeeeeeeeelp, is this correct!? Which sentence is written in the passive voice?O A.The dogs chased the stray cat for hours on end.O B.The city council got the roads repaired before the rains..Riley made pancakes for his sister by reading the recipe in a cookbook.O D.The soccer practice was cancelled because of the unexpected rains. during the 1920s, how did the majority of the nation respond to the self-indulgent excesses of the lost generation and jazz age A negative attitude can lead to O more completed workO high turnoverO better work environmentO fewer conflicts between employees in the middle 1800 which of the following would have been a reason to venture Westward The primary reason why the Philistines and Israelites were enemies was due to both peoples desiring to put the Levant under their political hegemony. The Fertilizer adds missing chemicals back into the soil to make the soil more nutrient rich. These chemicals are needed for plants to survive and grow, and many of them are commonly found in the natural environment. How, then, can fertilizer also be a pollutant? Which of the followingis true according to the5th Amendment?A. People who are accused of crimes do not have togive testimony against themselves.B. People who are accused of crimes must givetestimony against themselves if necessary.C. People who are accused of crimes do not have theright to hear any witnesses against them. ANSWER ASAPFor each table, write the equation that represents the price per ticket. Summarize the following paragraph that explains the fluctuations in the graph cual es el trabajo de los hombre en el antiguo egipcio I need help...I'm trying to create a webtoon/comic but I can't draw...is anyone willing to help?I need a sowrd drawing thats all........... what season does hail occur which is colder 0 C or 32 F a plumber who is just starting out offers low rates to attract new customers. He charges $35to visit a client's home, plus an additional $20 per hour.Write an equation that shows how the cost of a visit, y, depends on its duration in hours, X. During a collaborative discussion of the story The Dancing Partner, Jorge said, The theme of the story is Young people should stay home and avoid dancing. Anita disagreed. How might she express her disagreement while also keeping the conversation collaborative? MLA citation of an online journal articlestop sending me links or your account will be deleted Quick Help5. Rick is about to stand trial, but he does not know what the charges are against him. _________________________________________________ 6. Negan has been held in jail for three years without a trial. _________________________________________________ 7. Keisha committed a crime in New York, but the punishment for the crime is harsher in Georgia, so the prosecutor organizes her case to be transferred to Georgia. _________________________________________________ 8. Tyrell has selected a series of witnesses to examine which will attest to his clients innocence. _________________________________________________ 9. Though new evidence was found to convict Phillip after he was tried and found innocent, the prosecutor did not pursue a new trial. _________________________________________________ 10. Sam cannot afford a lawyer, but the state appoints him one. _______________