You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 66 different TVs, 1212 types of surround sound systems, and 1818 types of DVD players. How many different home theater systems can you build

Answers

Answer 1

Answer:

You can build 1296 different home theater systems.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

There are:

6 different TVs

12 types of surround sound systems.

18 types of DVD players.

How many different home theater systems can you build?

The components are independent, so, by the fundamental counting principle:

6*12*18 = 1296

You can build 1296 different home theater systems.


Related Questions

Mercury and venus are the sun than earth is.

Answers

closer to, shorter, longer.  (T=A^1.5

just took the assigniment.

Answer:

So, their orbital periods are than Earth's orbit. The further a planet is from the sun, the its orbit is.

Step-by-step explanation:

Even though Venus is farther from the sun than mercury, Venus's surface is hotter than Mercury's because Venus has a carbon dioxide atmosphere that traps the sun's heat.

Use the remainder theorem to find P(2) for P(x) = -x^3 + 4x^2 + 4

Answers

Answer:

12

Step-by-step explanation:

P(2)=-2³+4(2)²+4=-8+16+4=12

Use the coordinates of the labeled point to find a point-slope equation of the line.
A. y + 4 = 3(x-3)
B. y + 4 = -3(x - 3)
C. y - 4 = -3(x+3)
D. y - 4 = 3(x+3)

Answers

Answer:

B

Step-by-step explanation:

slope is negative

point slope formula is : (y-[tex]y_{1}[/tex]) = m(x-[tex]x_{2}[/tex])

the formula has minus signs that change the coordinates to the opposite value .

Answer is B y + 4 = -3 (x-3)

Price: 32.80
Sales Tax rate: 8.5%

Answers

Answer:

The new price of this thing you're buying is about $35.58.

Step-by-step explanation:

To find the new price you could find 8.5% of 32.80 then add it to 32.80. That would give you the new price, or you could simply find 108.5% of 32.80. That one has less steps, so Im going to go with that.

What is 108.5% of 32.80?

Let's set up an equation then solve.

108.5% · 32.80 = X

1.085 · 32.80 = 35.588

The new price of this thing you're buying is about $35.58.

How many exterior walls does the building have?

Answers

Answer:

18

Step-by-step explanation:

360÷20=18

twentycharactersignorethis

the building has 16 exterior walls

Which number line represents the solution set for the inequality? HELP PLEASE

Answers

Answer:

sorry i dont know next time ill surely help when i know.

Which of the coordinate points below will fall on a line where the constant of proportionality is 23? Select all that apply.
A) (6,8)
B) (3,2)
C) (6,4)
D) (9,6)
E) (12,8)

Answers

Answer:

(3,2)

(6,4)

(9,6)

(12,8)

Step-by-step explanation:

Constant of proportionality is 2/3

This means that:

[tex]y = \frac{2}{3}x[/tex]

Thus, y should be less than x, which removes option A.

B) (3,2)

x = 3, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}3 = 2[/tex]

So (3,2) is on the line

C) (6,4)

x = 6, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}6 = 4[/tex]

So (6,4) is on the line

D) (9,6)

x = 9, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}9 = 6[/tex]

So (9,6) is on the line

E) (12,8)

x = 12, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}12 = 8[/tex]

So (12,8) is on the line

share 560 in a ratio of 3 : 5 among two people, how much does each get​

Answers

Step-by-step explanation:

Let the ratio constant be 'x'

Sum of the ratios=3x+5x=8x

First person gets:-

3/8 x 560 = 210

Second person gets:-

5/8 x 560 = 350

PLEASE HELP ME OUT

Find the value of n in the equation 8 + 2n = 14.

n=____​

Answers

N=3 explanation: subtract 8 from 14 then divide it by two

A researcher suspects that people who are abused as children tend to be more prone to severe depression as young adults. She prepares a questionnaire that measures depression and that also asks many personal questions about childhood experiences. Think about how an appropriate description of the purpose of this research would be written (to be read by subjects) in order to obtain their informed consent. You must balance the conflicting goals of not deceiving the subjects about what the questionnaire will tell about them and not biasing the sample by scaring off people with painful childhood experiences.Based on this criteria, which of the statements is an appropriate description of the purpose of the research, that would be read by subjects in order to obtain their informed consent? Pay close attention to the wording of each description. a. The purpose of this research is to study whether people who are abused as children tend to be more prone to severe depression as young adults. b. The purpose of this research is to study whether childhood abuse tends to cause severe depression in young adults. c. The purpose of this research is to study whether severe depression is a result of people having bad experiences in childhood. d. The purpose of this research is to study how childhood experiences are related to risk of depression. e. The purpose of this research is to study different experiences people have had in childhood.

Answers

Answer:

d. The purpose of this research is to study how childhood experiences are related to risk of depression.

Step-by-step explanation:

This answer satisfies the requirements of the question as it uses mild language that will not scare off respondents while also maintaining transparency and truthfulness. This can be seen in wordings such as;

a. Childhood experiences: Instead of explicitly using the term child-hood abuse which can scare off respondents, this phrase uses a milder form of the word that is also not dishonest in itself.

b. Risk of depression: Instead of using heavy terms such as "severe depression," or shady terms like "bad expreciences," the phrase, "risk of depression," helps the subjects to honestly identify what the question is about in a mild way.

PLS HELP ITS DUE AT 11:10

Answers

Answer:

Scalene.

Step-by-step explanation:

It's scalene because non of the triangle's sides are congruent.

Hello! i really need help with this question.

Answers

Answer:

Option C

Step-by-step explanation:

Since,

Ray starts from point O and goes endlessly through point M so, the direction of Ray will be ---> on OM.

Answer:

C

Step-by-step explanation:

Starting from O then moving towards M

what is 2+2+3+3+5+6

Answers

Answer:

21

Step-by-step explanation:

21

21

21

Answer:

Simple addition the answer is 21.

8+(10-7) writen in words​

Answers

Answer: 11

Step-by-step explanation:

8 + (10 - 7)

first you would solve the parenthesis, to support the order of operations.

8 + ( 3)

ten minus seven is three, so we replace the "10-7" in the parenthesis with "3"

next you add the eight and the three together

8 + 3 = 11

the total is eleven :)

Hey there!

Do PEMDAS to solve

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

8 + (10 - 7)

10 - 7 = 3

8 + 3

= 11

Or

8 + (10 - 7 )

8 + 10 - 7

8 + 10 = 18

18 - 7

= 11

Answer: 11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Given m||n, find the value of x.

Answers

X SHOULD be 131 because 180 is an straight line and 180-49=131. Then 49 is the other number on the other side of the x because of some rules.

Find the value of
[tex]3 \frac{1}{5} \div \frac{8}{20} [/tex]


Answers

Answer:

[tex]{ \bf{3 \frac{1}{5} \div \frac{8}{20} }} \\ = \frac{16}{5} \div \frac{8}{20} \\ { \boxed{ \tt{reciprocal \: of \: \frac{8}{20} = \frac{20}{8} }}} \\ \therefore \: = \frac{16}{5} \times \frac{20}{8} \\ = \frac{320}{40} \\ { \bf{ answer : 8}} \\ \\ {\underline{\tt {\blue{becker \: jnr}}}}

[/tex]

3 1/5 must first converted into 16/5
Then, we can change the division into multiplication by changing 8/20 into it’s reciprocal, 20/8.
This gives us 16/5 * 20/8.
We can then simplify this to 2/1 * 4/1
You then multiply the two fractions to get 8/1 which is equivalent to 8.

What is the solution set for -3(2x-4)+2<8

Answers

Answer:

-3(2x-4)+2<8

-3(2x-4)<6

-6x+12<6

-6x<-6

x=1

-3(2-4)+2<8

A​ student's course grade is based on one midterm that counts as 20​% of his final​ grade, one class project that counts as 10​% of his final​ grade, a set of homework assignments that counts as 50​% of his final​ grade, and a final exam that counts as 20​% of his final grade. His midterm score is 63​, his project score is 89​, his homework score is 92​, and his final exam score is 77. What is his overall final​ score? What letter grade did he earn​ (A, B,​ C, D, or​ F)? Assume that a mean of 90 or above is an​ A, a mean of at least 80 but less than 90 is a​ B, and so on

Answers

Answer:

85 i guess

Step-by-step explanation:

Time (hours) 3.2, 4.8, 7.2, t, 12.4
Distance (miles) 80, 120, 180, 245, t

Answers

Answer:

t=2 plz mark me as brainliest

Step-by-step explanation:

Triangle LMN is reflected on y = x and then translates to the left one unit. Which of the following graphs represents the sequence of transformations that maps triangle LMN onto its image?

Answers

The attached graph represents the sequence of transformations

How to determine the sequence?

The coordinates of the triangle LMN are

L = (-6, 1)

M = (-4, 3)

N = (-1, 1)

When reflected on y = x, we have:

L' = (1, -6)

M' = (3, -4)

N' = (1, -1)

When translated 1 unit left, we have:

L'' = (0, -6)

M' = (2, -4)

N' = (0, -1)

See attachment for the sequence of transformations

Read more about transformation at:

https://brainly.com/question/11709244

#SPJ1

PLEASE HELP!!! IM ALMOST DONE WITH THIS SEMESTER

Answers

A

You can calculate it out or you can see that it's the only answer in slope intercept form

x/4 - 3 = -7

what is x equal to?

Answers

Answer:

x=-16

Step-by-step explanation:

x/4-3=-7

x/4=-4

x=-16

Ang salitang entrepreneur ay hango sa salitang na entrepende na nangangahulugan__________​

Answers

Answer:

— Ang salitang entrepreneur ay hango sa salitang French na entrepende na nangangahulugang?

Find the mean birth weight of these 29 babies

Answers

Answer:

The mean is 6.14

Step-by-step explanation:

Given

See attachment

Required

The mean

Mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{5 * 4 + 10 * 6 + 14 * 7}{29}[/tex]

[tex]\bar x = \frac{178}{29}[/tex]

[tex]\bar x = 6.14[/tex]

i need the
[tex] \sin(0) [/tex]
of the Triangle​

Answers

Answer:

sinθ = 4/5

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle = θ

Opposite Leg = 4

Hypotenuse = 5

Step 2: Find

Substitute in variables [sine]:                                                                              sinθ = 4/5

Answer:

4/5

Step-by-step explanation:

The sine of the angle theta is the ratio   opposite side / hypotenuse, which

here is

sin theta = 4 / 5

What is the domain of the relation {(-3,-8) (-2,9) (1,-1) (5,3)}

Answers

Domain = x-components

Therefore,Domain = {-3,-2,1,5}

Answer:

Domain = x-components

Therefore, Domain = {-3,-2,1,5}

Step-by-step explanation:

In one hour Dele walks 8km. How
long will it take her to walk 14km at
the same rate?

Answers

Answer:

1.45 h

Step-by-step explanation:

common factor of 8 and 14 is 2.

every 2km dele takes 15 minutes.

we know this because 15 minutes is 1/4 of an hour and 2km is 1/4 of 8km

14km/2km = 7

7*15 minutes = 1.45 hours

Answer:

1.75 hours/ 1hr 45 min

Step-by-step explanation:

1hr = 8 Km

?? = 14 Km

= (14km × 1hr)/ ( 8km)

= 1.75hours

= 1hr 45min

(x+4)(x^2-5x+3) multiply the polynomials

Answers

9514 1404 393

Answer:

  x^3 -x^2 -17x +12

Step-by-step explanation:

Use the distributive property and collect terms.

   (x +4)(x^2 -5x +3) = x(x^2 -5x +3) +4(x^2 -5x +3)

  = x^3 -5x^2 +3x +4x^2 -20x +12

  = x^3 -x^2 -17x +12

The dot plots below show the ages of students belonging to two groups of painting classes: Based on visual inspection, which group most likely has a lower mean age of painting students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.

Answers

Answer:

it's group A because they have more reliable sources

What is the area of this figure?

Answers

Answer:

90km² only if it is parallelogram

Step-by-step explanation:

base = 9km

height=10km

area of parallelogram = b x h

=9km x 10km

=90km²

Answer:

A = 90km2

Step-by-step explanation:

Area of a rhombus is:

1. A = s x h (if given side and height)

2. A = 1/2 a x b (if given lengths of diagonals)

3. A = s^2 sin A (if given side and length)

Therefore from your problem, height and side is given thus, you'll use number 1

A = s x h

A = 9km x 10km = 90km2

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