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Nookie1986 [14]
3 years ago
5

The capacity of a small theater is 125 people. Tickets for a particular show cost $14.50. The revenue for that show is a functio

n of the number of tickets sold, n. r(n) = 14.5n Use the drop-down menus to complete the statements below about the domain of this function.
Mathematics
1 answer:
faltersainse [42]3 years ago
3 0

Answer:

The domain of this function is first restricted to all non negative integers  because the theater can sell only a whole number of tickets.

The domain is restricted to numbers less than or equal to 125 because the theater cannot sell more tickets than capacity.

Step-by-step explanation:

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How many 3cm cubes can be put in a box 3cm long 6cm wide 12cm high?
lisov135 [29]

Answer:

8

Step-by-step explanation:

A cube is equal on all sides. Therefore the cubes must be 3cm x 3cm x 3cm. Therefore, each cube has an area of 27cm^3. The box that the cube has an area in is 3cm x 6cm x 12 cm which = 216cm^3. If you do 216cm^3/27cm^3 = 8 cubes

7 0
2 years ago
Read 2 more answers
3. Tom, Sam and Matt are counting drum beats.
just olya [345]

Answer:

<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

6 0
3 years ago
HELP URGENT I AM TIMED PLEASE SOLVE AND EXPLAIN YOUR ANSWER DUE IN 5 MINUTES :)
Ratling [72]

Answer:

njblhgkc dggh,bn bhjvbhj,n hg cfxzedsetxdrycfuvgibkhjnm

Step-by-step explanation:

8 0
3 years ago
What is the difference between an equation and expression?
inysia [295]

Answer:

An expression is a number or a combination of numbers and an equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

3 0
3 years ago
Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin
icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}

y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}

y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}

It is linear differential equation because  this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

y'+P(x)y=g(x)

P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}

\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}

Homogeneous equation

\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}

Degree of f and g are same.

f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0
3 years ago
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